02314_02341_02431_03214_03241_03421_04231_04321
Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3026, 16634, 93378, 531936, 3062450, 17769992, 103727404, 608280774, 3580086750, 21132227810, 125031462268, 741192078378, 4400836197728, 26164851928432, 155735801974906, 927837035518346, 5532323139145154, 33010049551439360, 197081695188859754, 1177262561460641816, 7035553050510290020, 42062628864725587582, 251563077418461672478, 1504983648591603582930, 9006076905313520346908, 53907004620202333771666, 322737097022845992591216, 1932576370721135674483528, 11574433654622464981957282, 69331475329262858109048506, 415357413727712992403435266, 2488675924290784648447565824, 14912975041789970184092945410, 89372746868121542975412198792, 535656791408113522609975890716, 3210739676034388565739634752438, 19246741558110686514111861428510, 115382512886558680074465378906178, 691752524657632476492045632950716, 4147506601654804153934170541952090, 24868341501055918443912163786233472, 149117290536052939146721251734042656, 894188043635315455594064917038143402, 5362258939795429386379959932507033194, 32157577029981063101144006261319615202, 192856440211949379744812995504004694208, 1156642274783896985240001671924398755546, 6937084242781603517002192798852265766584, 41607044488623211626286207791948272785076, 249555901417826268648325774215957300814670, 1496852698819323629600287302652674041656510, 8978416821719201753906749211598254498843154, 53855398053864259137681276389583562696418620, 323047847351434045680385550145901562586322274, 1937813632251104079455791172130788751083001584, 11624229165211287983192436424869945059280875224, 69730506725145287390033997132745204012944253554, 418299668515878319387047513064067793765256873466, 2509330334531577092969196028094742921282029787714, 15053357598301305090999408227734625900371201083296, 90305413316114722595978786842533187114741404606418, 541749751717491486740206062698687769940414739841928, 3250033806906133461828379195912898951287774823147788, 19497591699621231943466867913751477349719092264130726, 116970874084345300839981296111604419553685561788453470, 701742733550620313512382833252919584202118877209747106, 4209992392413663796931423893895703495816449830048433148, 25257344300651454302797356806011125240452352161646463498, 151529380747309582615117557003511844295881352353472415392, 909093642742824743572166529786314525639476337295180356048, 5454096682080029378400393927989150795622228179540801493082, 32721961188606017265037003548521222493692548493177620279626, 196317020057796542960705749253562300044533688869050939735938, 1177819064566364973507520431972220103515135729451920736203136, 7066446537138173806490400943157152121795215342204928767550282, 42396043423911664051934202385090166775902117547307475431825496, 254361408659997943365960896975035190143216113603265753298533764, 1526084754901691277447791283306018678141286261699073272285555870, 9156036799002833546986249414044248880523999298363005554758055390, 54933561733401318649706749242109648841286141800923425743244865490, 329586380145534661969379444160454507439290213294333056776924994012, 1977433766226936591537514632647393555067655541015398882428608382258, 11864126064422492610314996408599735520507832591726500938694200451056, 71182069262626936884859793850416941687081824058335827405645292676072, 427077262104287110199734289101415019050908862924666761918766033489474, 2562378112776277269417907426834563488339532310817546779912759023125434, 15373786691647131246549240815676817711581727394390438678123812303147906, 92240001694322516786925707355980274727705206980368358855637922932408256, 553424677272821056966265731434778313287889558525530743487222923345486114, 3320461579790754991687089183159841950789706735835578814773493552829821192, 19922281668710688021451649136320318620199594560090378310181472788613580796, 119530938527535135611247109086031871602873805501238712693084734774124094102, 717170111587943826614833424231416524465792112701268304632133653035982877854, 4302933133913583466761981908956394571985964968623891955456324596739329174786
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24764/
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[24,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[24,x]*F[8,x]
F[8,x] = F[279,x]+F[9,x]
F[9,x] = F[10,x]+F[40,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[13,x]*F[24,x]
F[13,x] = 1/F[32,x]*F[14,x]
F[14,x] = -F[25,x]+F[15,x]
F[15,x] = 1/F[24,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[19,x]
F[18,x] = (1+F[18,x])*x+F[18,x]^2
F[19,x] = -F[2,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[24,x]
F[22,x] = 1/F[24,x]*F[23,x]
F[23,x] = F[6,x]
F[24,x] = x
F[25,x] = -F[28,x]+F[26,x]
F[26,x] = 1/F[24,x]*F[27,x]
F[27,x] = F[19,x]
F[28,x] = F[13,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[24,x]*F[31,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[1,x]+F[29,x]
F[33,x] = F[34,x]+F[37,x]
F[34,x] = F[35,x]
F[35,x] = F[24,x]*F[36,x]
F[36,x] = F[1,x]+F[34,x]
F[37,x] = F[38,x]
F[38,x] = F[24,x]*F[39,x]
F[39,x] = F[29,x]+F[37,x]
F[40,x] = F[41,x]+F[6,x]
F[41,x] = F[42,x]
F[42,x] = F[24,x]*F[43,x]
F[43,x] = F[277,x]+F[44,x]
F[44,x] = F[275,x]+F[45,x]
F[45,x] = F[46,x]*F[6,x]
F[46,x] = 1/F[0,x]*F[47,x]
F[47,x] = -F[52,x]+F[48,x]
F[48,x] = 1/F[24,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[18,x]+F[51,x]
F[51,x] = -F[2,x]+F[6,x]
F[52,x] = F[53,x]+F[58,x]
F[53,x] = -F[56,x]+F[54,x]
F[54,x] = 1/F[24,x]*F[55,x]
F[55,x] = F[51,x]
F[56,x] = F[57,x]+F[58,x]
F[57,x] = F[2,x]*F[46,x]
F[58,x] = F[59,x]
F[59,x] = F[24,x]*F[60,x]
F[60,x] = F[209,x]+F[61,x]
F[61,x] = F[204,x]+F[62,x]
F[62,x] = F[201,x]+F[63,x]
F[63,x] = F[2,x]*F[64,x]
F[64,x] = 1/F[24,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[18,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[24,x]*F[69,x]
F[69,x] = F[70,x]+F[74,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[18,x]*F[5,x]
F[72,x] = F[73,x]
F[73,x] = F[13,x]*F[24,x]*F[69,x]
F[74,x] = F[199,x]+F[75,x]
F[75,x] = -F[198,x]+F[76,x]
F[76,x] = F[10,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[24,x]*F[79,x]
F[79,x] = F[80,x]+F[87,x]
F[80,x] = F[76,x]+F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[10,x]*F[18,x]
F[83,x] = F[84,x]
F[84,x] = F[24,x]*F[79,x]*F[85,x]
F[85,x] = F[18,x]+F[86,x]
F[86,x] = -F[5,x]+F[13,x]
F[87,x] = -F[197,x]+F[88,x]
F[88,x] = -F[195,x]+F[89,x]
F[89,x] = F[165,x]+F[90,x]
F[90,x] = F[143,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[24,x]*F[93,x]
F[93,x] = F[141,x]+F[94,x]
F[94,x] = F[121,x]+F[95,x]
F[95,x] = F[64,x]*F[96,x]
F[96,x] = F[101,x]+F[97,x]
F[97,x] = 1/F[46,x]*F[98,x]
F[98,x] = -F[109,x]+F[99,x]
F[99,x] = 1/F[24,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[104,x]+F[102,x]
F[102,x] = 1/F[24,x]*F[103,x]
F[103,x] = F[51,x]
F[104,x] = -F[105,x]+F[22,x]
F[105,x] = F[10,x]+F[106,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[24,x]
F[108,x] = F[22,x]+F[82,x]
F[109,x] = F[110,x]
F[110,x] = -F[120,x]+F[111,x]
F[111,x] = 1/F[24,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[24,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[24,x]*F[117,x]
F[117,x] = F[101,x]
F[118,x] = F[119,x]
F[119,x] = F[10,x]^2*F[24,x]
F[120,x] = F[46,x]*F[5,x]
F[121,x] = F[122,x]
F[122,x] = F[10,x]*F[123,x]*F[24,x]*F[5,x]
F[123,x] = 1/F[10,x]/F[24,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[138,x]
F[126,x] = F[127,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[24,x]*F[129,x]
F[129,x] = F[53,x]
F[130,x] = F[131,x]+F[64,x]
F[131,x] = F[132,x]
F[132,x] = -F[133,x]+F[128,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[24,x]*F[135,x]
F[135,x] = F[75,x]
F[136,x] = F[137,x]+F[138,x]
F[137,x] = F[18,x]*F[64,x]
F[138,x] = F[139,x]
F[139,x] = F[123,x]*F[140,x]*F[24,x]
F[140,x] = F[113,x]+F[18,x]
F[141,x] = F[142,x]
F[142,x] = F[115,x]*F[123,x]*F[24,x]
F[143,x] = F[144,x]
F[144,x] = F[10,x]*F[145,x]*F[24,x]*F[5,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[24,x]
F[147,x] = 1/F[24,x]*F[148,x]
F[148,x] = F[149,x]
F[149,x] = 1/F[24,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = F[152,x]
F[152,x] = -F[160,x]+F[153,x]
F[153,x] = -F[156,x]+F[154,x]
F[154,x] = 1/F[24,x]*F[155,x]
F[155,x] = F[51,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[24,x]
F[158,x] = 1/F[24,x]*F[159,x]
F[159,x] = F[56,x]
F[160,x] = F[161,x]+F[66,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[24,x]
F[163,x] = F[164,x]
F[164,x] = F[123,x]*F[24,x]
F[165,x] = F[166,x]
F[166,x] = F[115,x]*F[167,x]*F[24,x]
F[167,x] = -F[175,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[13,x]*F[18,x]
F[170,x] = -F[174,x]+F[171,x]
F[171,x] = 1/F[24,x]*F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[66,x]
F[174,x] = F[13,x]*F[5,x]
F[175,x] = F[176,x]
F[176,x] = F[177,x]*F[24,x]
F[177,x] = 1/F[24,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[173,x]+F[180,x]
F[180,x] = F[181,x]
F[181,x] = -F[194,x]+F[182,x]
F[182,x] = 1/F[24,x]*F[183,x]
F[183,x] = F[184,x]
F[184,x] = -F[191,x]+F[185,x]
F[185,x] = -F[156,x]+F[186,x]
F[186,x] = -F[187,x]+F[154,x]
F[187,x] = F[188,x]
F[188,x] = F[18,x]*F[189,x]
F[189,x] = F[190,x]+F[24,x]
F[190,x] = F[1,x]+F[24,x]
F[191,x] = -F[193,x]+F[192,x]
F[192,x] = F[151,x]+F[66,x]
F[193,x] = F[18,x]*F[190,x]
F[194,x] = -F[18,x]+F[86,x]
F[195,x] = F[196,x]
F[196,x] = F[10,x]*F[24,x]*F[74,x]
F[197,x] = F[144,x]
F[198,x] = F[5,x]^2
F[199,x] = F[200,x]
F[200,x] = F[10,x]*F[167,x]*F[24,x]
F[201,x] = F[202,x]
F[202,x] = F[147,x]*F[203,x]*F[24,x]
F[203,x] = F[2,x]+F[50,x]
F[204,x] = F[205,x]+F[206,x]
F[205,x] = F[50,x]*F[64,x]
F[206,x] = F[207,x]
F[207,x] = F[147,x]*F[208,x]*F[24,x]
F[208,x] = F[113,x]+F[41,x]
F[209,x] = F[210,x]
F[210,x] = F[138,x]+F[211,x]
F[211,x] = F[212,x]
F[212,x] = F[123,x]*F[213,x]*F[24,x]
F[213,x] = F[214,x]
F[214,x] = F[215,x]*F[24,x]
F[215,x] = F[216,x]+F[221,x]
F[216,x] = F[217,x]+F[8,x]
F[217,x] = -F[220,x]+F[218,x]
F[218,x] = 1/F[24,x]*F[219,x]
F[219,x] = F[41,x]
F[220,x] = F[66,x]*F[9,x]
F[221,x] = -F[252,x]+F[222,x]
F[222,x] = -F[273,x]+F[223,x]
F[223,x] = F[224,x]+F[258,x]
F[224,x] = F[225,x]+F[252,x]
F[225,x] = F[226,x]
F[226,x] = F[227,x]*F[24,x]
F[227,x] = F[228,x]+F[239,x]
F[228,x] = F[229,x]+F[236,x]
F[229,x] = F[230,x]+F[234,x]
F[230,x] = F[231,x]*F[64,x]
F[231,x] = F[232,x]+F[9,x]
F[232,x] = F[233,x]
F[233,x] = F[24,x]*F[5,x]*F[9,x]
F[234,x] = F[235,x]
F[235,x] = F[147,x]*F[24,x]*F[5,x]*F[9,x]
F[236,x] = F[237,x]
F[237,x] = F[123,x]*F[238,x]*F[24,x]*F[5,x]
F[238,x] = F[10,x]+F[213,x]
F[239,x] = F[240,x]
F[240,x] = F[123,x]*F[24,x]*F[241,x]
F[241,x] = -F[250,x]+F[242,x]
F[242,x] = F[243,x]+F[248,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[24,x]*F[245,x]
F[245,x] = F[208,x]
F[246,x] = F[247,x]
F[247,x] = F[10,x]*F[24,x]*F[9,x]
F[248,x] = F[249,x]
F[249,x] = F[10,x]*F[24,x]*F[9,x]
F[250,x] = F[251,x]
F[251,x] = F[10,x]*F[238,x]*F[24,x]
F[252,x] = F[253,x]
F[253,x] = F[24,x]*F[254,x]*F[256,x]
F[254,x] = F[255,x]
F[255,x] = F[238,x]*F[24,x]*F[5,x]
F[256,x] = 1/F[10,x]/F[24,x]*F[257,x]
F[257,x] = F[110,x]
F[258,x] = F[259,x]
F[259,x] = F[167,x]*F[24,x]*F[260,x]
F[260,x] = F[231,x]+F[261,x]
F[261,x] = F[262,x]
F[262,x] = F[24,x]*F[263,x]
F[263,x] = F[264,x]+F[271,x]
F[264,x] = F[265,x]+F[269,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[231,x]*F[46,x]
F[267,x] = F[268,x]
F[268,x] = F[24,x]*F[5,x]*F[64,x]*F[9,x]
F[269,x] = F[270,x]
F[270,x] = F[238,x]*F[24,x]*F[256,x]*F[5,x]
F[271,x] = F[272,x]
F[272,x] = F[24,x]*F[241,x]*F[256,x]
F[273,x] = F[274,x]
F[274,x] = F[24,x]*F[74,x]*F[9,x]
F[275,x] = F[276,x]
F[276,x] = F[24,x]*F[64,x]*F[9,x]
F[277,x] = F[278,x]
F[278,x] = F[213,x]*F[24,x]*F[256,x]
F[279,x] = F[280,x]
F[280,x] = F[215,x]*F[24,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_{24}\! \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_{24}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{279}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{40}\! \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_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{24}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{14}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{18}\! \left(x \right) x +F_{18} \left(x \right)^{2}+x
F_{19}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{6}\! \left(x \right)
F_{24}\! \left(x \right) = x
F_{25}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{19}\! \left(x \right)
F_{28}\! \left(x \right) = F_{13}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{24}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{37}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{24}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{34}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{24}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{37}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{24}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{277}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{275}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right) F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{47}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{18}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{58}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{24}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{209}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{204}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{201}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{18}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{24}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right) F_{5}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{13}\! \left(x \right) F_{24}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{199}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{10}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{24}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{87}\! \left(x \right)
F_{80}\! \left(x \right) = F_{76}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{24}\! \left(x \right) F_{79}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{18}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{13}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{165}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{143}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{24}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{141}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{121}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{64}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{101}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{46}\! \left(x \right)}
F_{98}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{51}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{10}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{24}\! \left(x \right)
F_{108}\! \left(x \right) = F_{22}\! \left(x \right)+F_{82}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{24}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{101}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{10} \left(x \right)^{2} F_{24}\! \left(x \right)
F_{120}\! \left(x \right) = F_{46}\! \left(x \right) F_{5}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{10}\! \left(x \right) F_{123}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{10}\! \left(x \right) F_{24}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{138}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{53}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{64}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{128}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{75}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)
F_{137}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{123}\! \left(x \right) F_{140}\! \left(x \right) F_{24}\! \left(x \right)
F_{140}\! \left(x \right) = F_{113}\! \left(x \right)+F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{115}\! \left(x \right) F_{123}\! \left(x \right) F_{24}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{10}\! \left(x \right) F_{145}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{24}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{51}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{24}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{56}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{66}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{24}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{123}\! \left(x \right) F_{24}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{115}\! \left(x \right) F_{167}\! \left(x \right) F_{24}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{66}\! \left(x \right)
F_{174}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{24}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{173}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{154}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{18}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{24}\! \left(x \right)
F_{190}\! \left(x \right) = F_{1}\! \left(x \right)+F_{24}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{151}\! \left(x \right)+F_{66}\! \left(x \right)
F_{193}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{86}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{74}\! \left(x \right)
F_{197}\! \left(x \right) = F_{144}\! \left(x \right)
F_{198}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{10}\! \left(x \right) F_{167}\! \left(x \right) F_{24}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{147}\! \left(x \right) F_{203}\! \left(x \right) F_{24}\! \left(x \right)
F_{203}\! \left(x \right) = F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{206}\! \left(x \right)
F_{205}\! \left(x \right) = F_{50}\! \left(x \right) F_{64}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{147}\! \left(x \right) F_{208}\! \left(x \right) F_{24}\! \left(x \right)
F_{208}\! \left(x \right) = F_{113}\! \left(x \right)+F_{41}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{138}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{123}\! \left(x \right) F_{213}\! \left(x \right) F_{24}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right) F_{24}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{221}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{8}\! \left(x \right)
F_{217}\! \left(x \right) = -F_{220}\! \left(x \right)+F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{41}\! \left(x \right)
F_{220}\! \left(x \right) = F_{66}\! \left(x \right) F_{9}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = -F_{273}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{258}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{252}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{24}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{239}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{236}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{234}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right) F_{64}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{9}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{147}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{123}\! \left(x \right) F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{238}\! \left(x \right) = F_{10}\! \left(x \right)+F_{213}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{123}\! \left(x \right) F_{24}\! \left(x \right) F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{248}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{208}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{9}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{9}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{10}\! \left(x \right) F_{238}\! \left(x \right) F_{24}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{24}\! \left(x \right) F_{254}\! \left(x \right) F_{256}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{10}\! \left(x \right) F_{24}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{110}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{167}\! \left(x \right) F_{24}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{231}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{24}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{271}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)+F_{269}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{231}\! \left(x \right) F_{46}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{64}\! \left(x \right) F_{9}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{256}\! \left(x \right) F_{5}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{24}\! \left(x \right) F_{241}\! \left(x \right) F_{256}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{24}\! \left(x \right) F_{74}\! \left(x \right) F_{9}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{24}\! \left(x \right) F_{64}\! \left(x \right) F_{9}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{213}\! \left(x \right) F_{24}\! \left(x \right) F_{256}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{215}\! \left(x \right) F_{24}\! \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_24(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_24(x)*F_8(x))
Eq(F_8(x), F_279(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_40(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_13(x)*F_24(x))
Eq(F_13(x), F_14(x)/F_32(x))
Eq(F_14(x), F_15(x) - F_25(x))
Eq(F_15(x), F_16(x)/F_24(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_19(x))
Eq(F_18(x), (x - 3)*(F_18(x) + 1) + (F_18(x) + 1)**2 + F_18(x) + 2)
Eq(F_19(x), -F_2(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_24(x))
Eq(F_22(x), F_23(x)/F_24(x))
Eq(F_23(x), F_6(x))
Eq(F_24(x), x)
Eq(F_25(x), F_26(x) - F_28(x))
Eq(F_26(x), F_27(x)/F_24(x))
Eq(F_27(x), F_19(x))
Eq(F_28(x), F_13(x)*F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_24(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_1(x) + F_29(x))
Eq(F_33(x), F_34(x) + F_37(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_24(x)*F_36(x))
Eq(F_36(x), F_1(x) + F_34(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_24(x)*F_39(x))
Eq(F_39(x), F_29(x) + F_37(x))
Eq(F_40(x), F_41(x) + F_6(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_24(x)*F_43(x))
Eq(F_43(x), F_277(x) + F_44(x))
Eq(F_44(x), F_275(x) + F_45(x))
Eq(F_45(x), F_46(x)*F_6(x))
Eq(F_46(x), F_47(x)/F_0(x))
Eq(F_47(x), F_48(x) - F_52(x))
Eq(F_48(x), F_49(x)/F_24(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_18(x) + F_51(x))
Eq(F_51(x), -F_2(x) + F_6(x))
Eq(F_52(x), F_53(x) + F_58(x))
Eq(F_53(x), F_54(x) - F_56(x))
Eq(F_54(x), F_55(x)/F_24(x))
Eq(F_55(x), F_51(x))
Eq(F_56(x), F_57(x) + F_58(x))
Eq(F_57(x), F_2(x)*F_46(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_24(x)*F_60(x))
Eq(F_60(x), F_209(x) + F_61(x))
Eq(F_61(x), F_204(x) + F_62(x))
Eq(F_62(x), F_201(x) + F_63(x))
Eq(F_63(x), F_2(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_24(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_18(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_24(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_74(x))
Eq(F_70(x), F_71(x) + F_72(x))
Eq(F_71(x), F_18(x)*F_5(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_13(x)*F_24(x)*F_69(x))
Eq(F_74(x), F_199(x) + F_75(x))
Eq(F_75(x), -F_198(x) + F_76(x))
Eq(F_76(x), F_10(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_24(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_87(x))
Eq(F_80(x), F_76(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_10(x)*F_18(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_24(x)*F_79(x)*F_85(x))
Eq(F_85(x), F_18(x) + F_86(x))
Eq(F_86(x), F_13(x) - F_5(x))
Eq(F_87(x), -F_197(x) + F_88(x))
Eq(F_88(x), -F_195(x) + F_89(x))
Eq(F_89(x), F_165(x) + F_90(x))
Eq(F_90(x), F_143(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_24(x)*F_93(x))
Eq(F_93(x), F_141(x) + F_94(x))
Eq(F_94(x), F_121(x) + F_95(x))
Eq(F_95(x), F_64(x)*F_96(x))
Eq(F_96(x), F_101(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_46(x))
Eq(F_98(x), -F_109(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_24(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) - F_104(x))
Eq(F_102(x), F_103(x)/F_24(x))
Eq(F_103(x), F_51(x))
Eq(F_104(x), -F_105(x) + F_22(x))
Eq(F_105(x), F_10(x) + F_106(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_24(x))
Eq(F_108(x), F_22(x) + F_82(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_120(x))
Eq(F_111(x), F_112(x)/F_24(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_24(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_24(x))
Eq(F_117(x), F_101(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_10(x)**2*F_24(x))
Eq(F_120(x), F_46(x)*F_5(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_10(x)*F_123(x)*F_24(x)*F_5(x))
Eq(F_123(x), F_124(x)/(F_10(x)*F_24(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_138(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_24(x))
Eq(F_129(x), F_53(x))
Eq(F_130(x), F_131(x) + F_64(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_128(x) - F_133(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_24(x))
Eq(F_135(x), F_75(x))
Eq(F_136(x), F_137(x) + F_138(x))
Eq(F_137(x), F_18(x)*F_64(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_123(x)*F_140(x)*F_24(x))
Eq(F_140(x), F_113(x) + F_18(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_115(x)*F_123(x)*F_24(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_10(x)*F_145(x)*F_24(x)*F_5(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_24(x))
Eq(F_147(x), F_148(x)/F_24(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)/F_24(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x) - F_160(x))
Eq(F_153(x), F_154(x) - F_156(x))
Eq(F_154(x), F_155(x)/F_24(x))
Eq(F_155(x), F_51(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_24(x))
Eq(F_158(x), F_159(x)/F_24(x))
Eq(F_159(x), F_56(x))
Eq(F_160(x), F_161(x) + F_66(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_24(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_123(x)*F_24(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_115(x)*F_167(x)*F_24(x))
Eq(F_167(x), F_168(x) - F_175(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_13(x)*F_18(x))
Eq(F_170(x), F_171(x) - F_174(x))
Eq(F_171(x), F_172(x)/F_24(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_66(x))
Eq(F_174(x), F_13(x)*F_5(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x)*F_24(x))
Eq(F_177(x), F_178(x)/F_24(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_173(x) + F_180(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x) - F_194(x))
Eq(F_182(x), F_183(x)/F_24(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x) - F_191(x))
Eq(F_185(x), -F_156(x) + F_186(x))
Eq(F_186(x), F_154(x) - F_187(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_18(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_24(x))
Eq(F_190(x), F_1(x) + F_24(x))
Eq(F_191(x), F_192(x) - F_193(x))
Eq(F_192(x), F_151(x) + F_66(x))
Eq(F_193(x), F_18(x)*F_190(x))
Eq(F_194(x), -F_18(x) + F_86(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_10(x)*F_24(x)*F_74(x))
Eq(F_197(x), F_144(x))
Eq(F_198(x), F_5(x)**2)
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_10(x)*F_167(x)*F_24(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_147(x)*F_203(x)*F_24(x))
Eq(F_203(x), F_2(x) + F_50(x))
Eq(F_204(x), F_205(x) + F_206(x))
Eq(F_205(x), F_50(x)*F_64(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_147(x)*F_208(x)*F_24(x))
Eq(F_208(x), F_113(x) + F_41(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_138(x) + F_211(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_123(x)*F_213(x)*F_24(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_215(x)*F_24(x))
Eq(F_215(x), F_216(x) + F_221(x))
Eq(F_216(x), F_217(x) + F_8(x))
Eq(F_217(x), F_218(x) - F_220(x))
Eq(F_218(x), F_219(x)/F_24(x))
Eq(F_219(x), F_41(x))
Eq(F_220(x), F_66(x)*F_9(x))
Eq(F_221(x), F_222(x) - F_252(x))
Eq(F_222(x), F_223(x) - F_273(x))
Eq(F_223(x), F_224(x) + F_258(x))
Eq(F_224(x), F_225(x) + F_252(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_227(x)*F_24(x))
Eq(F_227(x), F_228(x) + F_239(x))
Eq(F_228(x), F_229(x) + F_236(x))
Eq(F_229(x), F_230(x) + F_234(x))
Eq(F_230(x), F_231(x)*F_64(x))
Eq(F_231(x), F_232(x) + F_9(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_24(x)*F_5(x)*F_9(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_147(x)*F_24(x)*F_5(x)*F_9(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_123(x)*F_238(x)*F_24(x)*F_5(x))
Eq(F_238(x), F_10(x) + F_213(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_123(x)*F_24(x)*F_241(x))
Eq(F_241(x), F_242(x) - F_250(x))
Eq(F_242(x), F_243(x) + F_248(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_24(x))
Eq(F_245(x), F_208(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_10(x)*F_24(x)*F_9(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_10(x)*F_24(x)*F_9(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_10(x)*F_238(x)*F_24(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_24(x)*F_254(x)*F_256(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_238(x)*F_24(x)*F_5(x))
Eq(F_256(x), F_257(x)/(F_10(x)*F_24(x)))
Eq(F_257(x), F_110(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_167(x)*F_24(x)*F_260(x))
Eq(F_260(x), F_231(x) + F_261(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_24(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_271(x))
Eq(F_264(x), F_265(x) + F_269(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_231(x)*F_46(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_24(x)*F_5(x)*F_64(x)*F_9(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_238(x)*F_24(x)*F_256(x)*F_5(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_24(x)*F_241(x)*F_256(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_24(x)*F_74(x)*F_9(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_24(x)*F_64(x)*F_9(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_213(x)*F_24(x)*F_256(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_215(x)*F_24(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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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:
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"pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"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, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25497/
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[23,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[23,x]*F[8,x]
F[8,x] = F[271,x]+F[9,x]
F[9,x] = F[10,x]+F[41,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[13,x]*F[23,x]
F[13,x] = 1/F[33,x]*F[14,x]
F[14,x] = -F[24,x]+F[15,x]
F[15,x] = 1/F[23,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = -F[0,x]+F[18,x]
F[18,x] = F[19,x]+F[5,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[23,x]
F[21,x] = 1/F[23,x]*F[22,x]
F[22,x] = F[6,x]
F[23,x] = x
F[24,x] = -F[29,x]+F[25,x]
F[25,x] = 1/F[23,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[28,x]+F[17,x]
F[28,x] = (1+F[28,x])*x+F[28,x]^2
F[29,x] = F[13,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[1,x]+F[30,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[36,x]
F[36,x] = F[23,x]*F[37,x]
F[37,x] = F[1,x]+F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[23,x]*F[40,x]
F[40,x] = F[30,x]+F[38,x]
F[41,x] = F[42,x]+F[6,x]
F[42,x] = F[43,x]
F[43,x] = F[23,x]*F[44,x]
F[44,x] = F[269,x]+F[45,x]
F[45,x] = F[267,x]+F[46,x]
F[46,x] = F[47,x]*F[6,x]
F[47,x] = 1/F[0,x]*F[48,x]
F[48,x] = -F[52,x]+F[49,x]
F[49,x] = 1/F[23,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[0,x]+F[4,x]
F[52,x] = F[144,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[23,x]*F[55,x]
F[55,x] = F[131,x]+F[56,x]
F[56,x] = F[161,x]+F[57,x]
F[57,x] = 1/F[23,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[28,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[23,x]*F[62,x]
F[62,x] = F[63,x]+F[67,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[28,x]*F[5,x]
F[65,x] = F[66,x]
F[66,x] = F[13,x]*F[23,x]*F[62,x]
F[67,x] = F[265,x]+F[68,x]
F[68,x] = -F[264,x]+F[69,x]
F[69,x] = F[10,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[23,x]*F[72,x]
F[72,x] = F[73,x]+F[80,x]
F[73,x] = F[69,x]+F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[10,x]*F[28,x]
F[76,x] = F[77,x]
F[77,x] = F[23,x]*F[72,x]*F[78,x]
F[78,x] = F[28,x]+F[79,x]
F[79,x] = -F[5,x]+F[13,x]
F[80,x] = -F[263,x]+F[81,x]
F[81,x] = -F[261,x]+F[82,x]
F[82,x] = F[259,x]+F[83,x]
F[83,x] = F[125,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[23,x]*F[86,x]
F[86,x] = F[123,x]+F[87,x]
F[87,x] = F[115,x]+F[88,x]
F[88,x] = F[57,x]*F[89,x]
F[89,x] = F[90,x]+F[94,x]
F[90,x] = 1/F[47,x]*F[91,x]
F[91,x] = -F[103,x]+F[92,x]
F[92,x] = 1/F[23,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[98,x]+F[95,x]
F[95,x] = 1/F[23,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[28,x]+F[51,x]
F[98,x] = -F[99,x]+F[21,x]
F[99,x] = F[10,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[23,x]
F[102,x] = F[21,x]+F[75,x]
F[103,x] = F[104,x]
F[104,x] = -F[114,x]+F[105,x]
F[105,x] = 1/F[23,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = -F[112,x]+F[110,x]
F[110,x] = 1/F[23,x]*F[111,x]
F[111,x] = F[94,x]
F[112,x] = F[113,x]
F[113,x] = F[10,x]^2*F[23,x]
F[114,x] = F[47,x]*F[5,x]
F[115,x] = F[116,x]
F[116,x] = F[10,x]*F[117,x]*F[23,x]*F[5,x]
F[117,x] = 1/F[10,x]/F[23,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[122,x]+F[120,x]
F[120,x] = 1/F[23,x]*F[121,x]
F[121,x] = F[68,x]
F[122,x] = F[5,x]*F[57,x]
F[123,x] = F[124,x]
F[124,x] = F[109,x]*F[117,x]*F[23,x]
F[125,x] = F[126,x]
F[126,x] = F[10,x]*F[127,x]*F[23,x]*F[5,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[23,x]
F[129,x] = 1/F[23,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = 1/F[23,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]
F[134,x] = -F[254,x]+F[135,x]
F[135,x] = -F[138,x]+F[136,x]
F[136,x] = 1/F[23,x]*F[137,x]
F[137,x] = F[97,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[23,x]
F[140,x] = 1/F[23,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[2,x]*F[47,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[23,x]
F[146,x] = F[147,x]+F[158,x]
F[147,x] = F[148,x]+F[153,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[2,x]*F[57,x]
F[150,x] = F[151,x]
F[151,x] = F[129,x]*F[152,x]*F[23,x]
F[152,x] = F[2,x]+F[51,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[51,x]*F[57,x]
F[155,x] = F[156,x]
F[156,x] = F[129,x]*F[157,x]*F[23,x]
F[157,x] = F[107,x]+F[42,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]+F[163,x]
F[160,x] = F[161,x]*F[2,x]
F[161,x] = F[162,x]
F[162,x] = F[117,x]*F[23,x]
F[163,x] = F[164,x]
F[164,x] = F[117,x]*F[165,x]*F[23,x]
F[165,x] = F[166,x]+F[51,x]
F[166,x] = F[107,x]+F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[23,x]
F[169,x] = F[170,x]+F[174,x]
F[170,x] = -F[173,x]+F[171,x]
F[171,x] = 1/F[23,x]*F[172,x]
F[172,x] = F[42,x]
F[173,x] = F[59,x]*F[9,x]
F[174,x] = -F[203,x]+F[175,x]
F[175,x] = -F[252,x]+F[176,x]
F[176,x] = F[177,x]+F[209,x]
F[177,x] = F[178,x]+F[203,x]
F[178,x] = F[179,x]
F[179,x] = F[180,x]*F[23,x]
F[180,x] = F[181,x]+F[192,x]
F[181,x] = F[182,x]+F[189,x]
F[182,x] = F[183,x]+F[187,x]
F[183,x] = F[184,x]*F[57,x]
F[184,x] = F[185,x]+F[9,x]
F[185,x] = F[186,x]
F[186,x] = F[23,x]*F[5,x]*F[9,x]
F[187,x] = F[188,x]
F[188,x] = F[129,x]*F[23,x]*F[5,x]*F[9,x]
F[189,x] = F[190,x]
F[190,x] = F[117,x]*F[191,x]*F[23,x]*F[5,x]
F[191,x] = F[166,x]+F[4,x]
F[192,x] = F[193,x]
F[193,x] = F[117,x]*F[194,x]*F[23,x]
F[194,x] = -F[201,x]+F[195,x]
F[195,x] = 1/F[23,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[200,x]+F[198,x]
F[198,x] = 1/F[23,x]*F[199,x]
F[199,x] = F[97,x]
F[200,x] = F[167,x]+F[6,x]
F[201,x] = F[202,x]
F[202,x] = F[10,x]*F[191,x]*F[23,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x]*F[207,x]*F[23,x]
F[205,x] = F[206,x]
F[206,x] = F[191,x]*F[23,x]*F[5,x]
F[207,x] = 1/F[10,x]/F[23,x]*F[208,x]
F[208,x] = F[104,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[224,x]*F[23,x]
F[211,x] = F[184,x]+F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]*F[23,x]
F[214,x] = F[215,x]+F[222,x]
F[215,x] = F[216,x]+F[220,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[184,x]*F[47,x]
F[218,x] = F[219,x]
F[219,x] = F[23,x]*F[5,x]*F[57,x]*F[9,x]
F[220,x] = F[221,x]
F[221,x] = F[191,x]*F[207,x]*F[23,x]*F[5,x]
F[222,x] = F[223,x]
F[223,x] = F[194,x]*F[207,x]*F[23,x]
F[224,x] = -F[232,x]+F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[13,x]*F[28,x]
F[227,x] = -F[231,x]+F[228,x]
F[228,x] = 1/F[23,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[59,x]
F[231,x] = F[13,x]*F[5,x]
F[232,x] = F[233,x]
F[233,x] = F[23,x]*F[234,x]
F[234,x] = 1/F[23,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[230,x]+F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[251,x]+F[239,x]
F[239,x] = 1/F[23,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[248,x]+F[242,x]
F[242,x] = -F[138,x]+F[243,x]
F[243,x] = -F[244,x]+F[136,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[28,x]
F[246,x] = F[23,x]+F[247,x]
F[247,x] = F[1,x]+F[23,x]
F[248,x] = -F[250,x]+F[249,x]
F[249,x] = F[133,x]+F[59,x]
F[250,x] = F[247,x]*F[28,x]
F[251,x] = -F[28,x]+F[79,x]
F[252,x] = F[253,x]
F[253,x] = F[23,x]*F[67,x]*F[9,x]
F[254,x] = F[255,x]+F[59,x]
F[255,x] = F[256,x]
F[256,x] = F[23,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[117,x]*F[23,x]
F[259,x] = F[260,x]
F[260,x] = F[109,x]*F[224,x]*F[23,x]
F[261,x] = F[262,x]
F[262,x] = F[10,x]*F[23,x]*F[67,x]
F[263,x] = F[126,x]
F[264,x] = F[5,x]^2
F[265,x] = F[266,x]
F[266,x] = F[10,x]*F[224,x]*F[23,x]
F[267,x] = F[268,x]
F[268,x] = F[23,x]*F[57,x]*F[9,x]
F[269,x] = F[270,x]
F[270,x] = F[200,x]*F[207,x]*F[23,x]
F[271,x] = F[272,x]
F[272,x] = F[23,x]*F[273,x]
F[273,x] = F[174,x]+F[274,x]
F[274,x] = F[170,x]+F[8,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_{23}\! \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_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{271}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{41}\! \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_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{23}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{14}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{5}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{23}\! \left(x \right)
F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{22}\! \left(x \right) = F_{6}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{24}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{17}\! \left(x \right)
F_{28}\! \left(x \right) = F_{28}\! \left(x \right) x +F_{28} \left(x \right)^{2}+x
F_{29}\! \left(x \right) = F_{13}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{1}\! \left(x \right)+F_{30}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{23}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{1}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{23}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{30}\! \left(x \right)+F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{6}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{23}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{269}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{267}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{48}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{52}\! \left(x \right) = F_{144}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{23}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{131}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{161}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{28}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{23}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{28}\! \left(x \right) F_{5}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{13}\! \left(x \right) F_{23}\! \left(x \right) F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{265}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{10}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{10}\! \left(x \right) F_{28}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{13}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{259}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{125}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{23}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{123}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{115}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{57}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{47}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{51}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{21}\! \left(x \right)
F_{99}\! \left(x \right) = F_{10}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{23}\! \left(x \right)
F_{102}\! \left(x \right) = F_{21}\! \left(x \right)+F_{75}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{94}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{10} \left(x \right)^{2} F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{47}\! \left(x \right) F_{5}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right) F_{117}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{10}\! \left(x \right) F_{23}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{68}\! \left(x \right)
F_{122}\! \left(x \right) = F_{5}\! \left(x \right) F_{57}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{109}\! \left(x \right) F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{10}\! \left(x \right) F_{127}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{254}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{97}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{23}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{23}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{158}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{129}\! \left(x \right) F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{152}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{51}\! \left(x \right) F_{57}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{129}\! \left(x \right) F_{157}\! \left(x \right) F_{23}\! \left(x \right)
F_{157}\! \left(x \right) = F_{107}\! \left(x \right)+F_{42}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{163}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{2}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{117}\! \left(x \right) F_{165}\! \left(x \right) F_{23}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{51}\! \left(x \right)
F_{166}\! \left(x \right) = F_{107}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{23}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{174}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{42}\! \left(x \right)
F_{173}\! \left(x \right) = F_{59}\! \left(x \right) F_{9}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{209}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{203}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{23}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{192}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{189}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{187}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{57}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{9}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{117}\! \left(x \right) F_{191}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{191}\! \left(x \right) = F_{166}\! \left(x \right)+F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{117}\! \left(x \right) F_{194}\! \left(x \right) F_{23}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{201}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{97}\! \left(x \right)
F_{200}\! \left(x \right) = F_{167}\! \left(x \right)+F_{6}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{10}\! \left(x \right) F_{191}\! \left(x \right) F_{23}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{191}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{207}\! \left(x \right) = \frac{F_{208}\! \left(x \right)}{F_{10}\! \left(x \right) F_{23}\! \left(x \right)}
F_{208}\! \left(x \right) = F_{104}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{211}\! \left(x \right) = F_{184}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{23}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{222}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{220}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{184}\! \left(x \right) F_{47}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{57}\! \left(x \right) F_{9}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{191}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{194}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{13}\! \left(x \right) F_{28}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{59}\! \left(x \right)
F_{231}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{23}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = \frac{F_{235}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{230}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{248}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{136}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{28}\! \left(x \right)
F_{246}\! \left(x \right) = F_{23}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{133}\! \left(x \right)+F_{59}\! \left(x \right)
F_{250}\! \left(x \right) = F_{247}\! \left(x \right) F_{28}\! \left(x \right)
F_{251}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{23}\! \left(x \right) F_{67}\! \left(x \right) F_{9}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{59}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{23}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{109}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right) F_{67}\! \left(x \right)
F_{263}\! \left(x \right) = F_{126}\! \left(x \right)
F_{264}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{10}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{23}\! \left(x \right) F_{57}\! \left(x \right) F_{9}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{200}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{23}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{174}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{170}\! \left(x \right)+F_{8}\! \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_23(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_23(x)*F_8(x))
Eq(F_8(x), F_271(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_41(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_13(x)*F_23(x))
Eq(F_13(x), F_14(x)/F_33(x))
Eq(F_14(x), F_15(x) - F_24(x))
Eq(F_15(x), F_16(x)/F_23(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), -F_0(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_5(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_23(x))
Eq(F_21(x), F_22(x)/F_23(x))
Eq(F_22(x), F_6(x))
Eq(F_23(x), x)
Eq(F_24(x), F_25(x) - F_29(x))
Eq(F_25(x), F_26(x)/F_23(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_17(x) - F_28(x))
Eq(F_28(x), (x - 3)*(F_28(x) + 1) + (F_28(x) + 1)**2 + F_28(x) + 2)
Eq(F_29(x), F_13(x)*F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_1(x) + F_30(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_23(x)*F_37(x))
Eq(F_37(x), F_1(x) + F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_23(x)*F_40(x))
Eq(F_40(x), F_30(x) + F_38(x))
Eq(F_41(x), F_42(x) + F_6(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_23(x)*F_44(x))
Eq(F_44(x), F_269(x) + F_45(x))
Eq(F_45(x), F_267(x) + F_46(x))
Eq(F_46(x), F_47(x)*F_6(x))
Eq(F_47(x), F_48(x)/F_0(x))
Eq(F_48(x), F_49(x) - F_52(x))
Eq(F_49(x), F_50(x)/F_23(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), -F_0(x) + F_4(x))
Eq(F_52(x), F_144(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_23(x)*F_55(x))
Eq(F_55(x), F_131(x) + F_56(x))
Eq(F_56(x), F_161(x) + F_57(x))
Eq(F_57(x), F_58(x)/F_23(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_28(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_23(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_67(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_28(x)*F_5(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_13(x)*F_23(x)*F_62(x))
Eq(F_67(x), F_265(x) + F_68(x))
Eq(F_68(x), -F_264(x) + F_69(x))
Eq(F_69(x), F_10(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_23(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_80(x))
Eq(F_73(x), F_69(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_10(x)*F_28(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_23(x)*F_72(x)*F_78(x))
Eq(F_78(x), F_28(x) + F_79(x))
Eq(F_79(x), F_13(x) - F_5(x))
Eq(F_80(x), -F_263(x) + F_81(x))
Eq(F_81(x), -F_261(x) + F_82(x))
Eq(F_82(x), F_259(x) + F_83(x))
Eq(F_83(x), F_125(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_23(x)*F_86(x))
Eq(F_86(x), F_123(x) + F_87(x))
Eq(F_87(x), F_115(x) + F_88(x))
Eq(F_88(x), F_57(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_94(x))
Eq(F_90(x), F_91(x)/F_47(x))
Eq(F_91(x), -F_103(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_23(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_95(x) - F_98(x))
Eq(F_95(x), F_96(x)/F_23(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), -F_28(x) + F_51(x))
Eq(F_98(x), F_21(x) - F_99(x))
Eq(F_99(x), F_10(x) + F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_23(x))
Eq(F_102(x), F_21(x) + F_75(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_114(x))
Eq(F_105(x), F_106(x)/F_23(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_110(x) - F_112(x))
Eq(F_110(x), F_111(x)/F_23(x))
Eq(F_111(x), F_94(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_10(x)**2*F_23(x))
Eq(F_114(x), F_47(x)*F_5(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x)*F_117(x)*F_23(x)*F_5(x))
Eq(F_117(x), F_118(x)/(F_10(x)*F_23(x)))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_122(x))
Eq(F_120(x), F_121(x)/F_23(x))
Eq(F_121(x), F_68(x))
Eq(F_122(x), F_5(x)*F_57(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_109(x)*F_117(x)*F_23(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_10(x)*F_127(x)*F_23(x)*F_5(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_23(x))
Eq(F_129(x), F_130(x)/F_23(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)/F_23(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_254(x))
Eq(F_135(x), F_136(x) - F_138(x))
Eq(F_136(x), F_137(x)/F_23(x))
Eq(F_137(x), F_97(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_23(x))
Eq(F_140(x), F_141(x)/F_23(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_2(x)*F_47(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_23(x))
Eq(F_146(x), F_147(x) + F_158(x))
Eq(F_147(x), F_148(x) + F_153(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_2(x)*F_57(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_129(x)*F_152(x)*F_23(x))
Eq(F_152(x), F_2(x) + F_51(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_51(x)*F_57(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_129(x)*F_157(x)*F_23(x))
Eq(F_157(x), F_107(x) + F_42(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x) + F_163(x))
Eq(F_160(x), F_161(x)*F_2(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_117(x)*F_23(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_117(x)*F_165(x)*F_23(x))
Eq(F_165(x), F_166(x) + F_51(x))
Eq(F_166(x), F_107(x) + F_167(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_23(x))
Eq(F_169(x), F_170(x) + F_174(x))
Eq(F_170(x), F_171(x) - F_173(x))
Eq(F_171(x), F_172(x)/F_23(x))
Eq(F_172(x), F_42(x))
Eq(F_173(x), F_59(x)*F_9(x))
Eq(F_174(x), F_175(x) - F_203(x))
Eq(F_175(x), F_176(x) - F_252(x))
Eq(F_176(x), F_177(x) + F_209(x))
Eq(F_177(x), F_178(x) + F_203(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_180(x)*F_23(x))
Eq(F_180(x), F_181(x) + F_192(x))
Eq(F_181(x), F_182(x) + F_189(x))
Eq(F_182(x), F_183(x) + F_187(x))
Eq(F_183(x), F_184(x)*F_57(x))
Eq(F_184(x), F_185(x) + F_9(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_23(x)*F_5(x)*F_9(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_129(x)*F_23(x)*F_5(x)*F_9(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_117(x)*F_191(x)*F_23(x)*F_5(x))
Eq(F_191(x), F_166(x) + F_4(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_117(x)*F_194(x)*F_23(x))
Eq(F_194(x), F_195(x) - F_201(x))
Eq(F_195(x), F_196(x)/F_23(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_200(x))
Eq(F_198(x), F_199(x)/F_23(x))
Eq(F_199(x), F_97(x))
Eq(F_200(x), F_167(x) + F_6(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_10(x)*F_191(x)*F_23(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x)*F_207(x)*F_23(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_191(x)*F_23(x)*F_5(x))
Eq(F_207(x), F_208(x)/(F_10(x)*F_23(x)))
Eq(F_208(x), F_104(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_224(x)*F_23(x))
Eq(F_211(x), F_184(x) + F_212(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x)*F_23(x))
Eq(F_214(x), F_215(x) + F_222(x))
Eq(F_215(x), F_216(x) + F_220(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_184(x)*F_47(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_23(x)*F_5(x)*F_57(x)*F_9(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_191(x)*F_207(x)*F_23(x)*F_5(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_194(x)*F_207(x)*F_23(x))
Eq(F_224(x), F_225(x) - F_232(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_13(x)*F_28(x))
Eq(F_227(x), F_228(x) - F_231(x))
Eq(F_228(x), F_229(x)/F_23(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_59(x))
Eq(F_231(x), F_13(x)*F_5(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_23(x)*F_234(x))
Eq(F_234(x), F_235(x)/F_23(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_230(x) + F_237(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_251(x))
Eq(F_239(x), F_240(x)/F_23(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x) - F_248(x))
Eq(F_242(x), -F_138(x) + F_243(x))
Eq(F_243(x), F_136(x) - F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_28(x))
Eq(F_246(x), F_23(x) + F_247(x))
Eq(F_247(x), F_1(x) + F_23(x))
Eq(F_248(x), F_249(x) - F_250(x))
Eq(F_249(x), F_133(x) + F_59(x))
Eq(F_250(x), F_247(x)*F_28(x))
Eq(F_251(x), -F_28(x) + F_79(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_23(x)*F_67(x)*F_9(x))
Eq(F_254(x), F_255(x) + F_59(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_23(x)*F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_117(x)*F_23(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_109(x)*F_224(x)*F_23(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_10(x)*F_23(x)*F_67(x))
Eq(F_263(x), F_126(x))
Eq(F_264(x), F_5(x)**2)
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_10(x)*F_224(x)*F_23(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_23(x)*F_57(x)*F_9(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_200(x)*F_207(x)*F_23(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_23(x)*F_273(x))
Eq(F_273(x), F_174(x) + F_274(x))
Eq(F_274(x), F_170(x) + F_8(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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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:
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"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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25562/
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[23,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[23,x]*F[8,x]
F[8,x] = F[271,x]+F[9,x]
F[9,x] = F[10,x]+F[41,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[13,x]*F[23,x]
F[13,x] = 1/F[33,x]*F[14,x]
F[14,x] = -F[24,x]+F[15,x]
F[15,x] = 1/F[23,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = -F[0,x]+F[18,x]
F[18,x] = F[19,x]+F[5,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[23,x]
F[21,x] = 1/F[23,x]*F[22,x]
F[22,x] = F[6,x]
F[23,x] = x
F[24,x] = -F[29,x]+F[25,x]
F[25,x] = 1/F[23,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[28,x]+F[17,x]
F[28,x] = (1+F[28,x])*x+F[28,x]^2
F[29,x] = F[13,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = F[23,x]*F[32,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[1,x]+F[30,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[36,x]
F[36,x] = F[23,x]*F[37,x]
F[37,x] = F[1,x]+F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[23,x]*F[40,x]
F[40,x] = F[30,x]+F[38,x]
F[41,x] = F[42,x]+F[6,x]
F[42,x] = F[43,x]
F[43,x] = F[23,x]*F[44,x]
F[44,x] = F[269,x]+F[45,x]
F[45,x] = F[267,x]+F[46,x]
F[46,x] = F[47,x]*F[6,x]
F[47,x] = 1/F[0,x]*F[48,x]
F[48,x] = -F[52,x]+F[49,x]
F[49,x] = 1/F[23,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[0,x]+F[4,x]
F[52,x] = F[144,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[23,x]*F[55,x]
F[55,x] = F[131,x]+F[56,x]
F[56,x] = F[161,x]+F[57,x]
F[57,x] = 1/F[23,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[28,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[23,x]*F[62,x]
F[62,x] = F[63,x]+F[67,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[28,x]*F[5,x]
F[65,x] = F[66,x]
F[66,x] = F[13,x]*F[23,x]*F[62,x]
F[67,x] = F[265,x]+F[68,x]
F[68,x] = -F[264,x]+F[69,x]
F[69,x] = F[10,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[23,x]*F[72,x]
F[72,x] = F[73,x]+F[80,x]
F[73,x] = F[69,x]+F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[10,x]*F[28,x]
F[76,x] = F[77,x]
F[77,x] = F[23,x]*F[72,x]*F[78,x]
F[78,x] = F[28,x]+F[79,x]
F[79,x] = -F[5,x]+F[13,x]
F[80,x] = -F[263,x]+F[81,x]
F[81,x] = -F[261,x]+F[82,x]
F[82,x] = F[259,x]+F[83,x]
F[83,x] = F[125,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[23,x]*F[86,x]
F[86,x] = F[123,x]+F[87,x]
F[87,x] = F[115,x]+F[88,x]
F[88,x] = F[57,x]*F[89,x]
F[89,x] = F[90,x]+F[94,x]
F[90,x] = 1/F[47,x]*F[91,x]
F[91,x] = -F[103,x]+F[92,x]
F[92,x] = 1/F[23,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[98,x]+F[95,x]
F[95,x] = 1/F[23,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[28,x]+F[51,x]
F[98,x] = -F[99,x]+F[21,x]
F[99,x] = F[10,x]+F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[23,x]
F[102,x] = F[21,x]+F[75,x]
F[103,x] = F[104,x]
F[104,x] = -F[114,x]+F[105,x]
F[105,x] = 1/F[23,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[23,x]
F[109,x] = -F[112,x]+F[110,x]
F[110,x] = 1/F[23,x]*F[111,x]
F[111,x] = F[94,x]
F[112,x] = F[113,x]
F[113,x] = F[10,x]^2*F[23,x]
F[114,x] = F[47,x]*F[5,x]
F[115,x] = F[116,x]
F[116,x] = F[10,x]*F[117,x]*F[23,x]*F[5,x]
F[117,x] = 1/F[10,x]/F[23,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[122,x]+F[120,x]
F[120,x] = 1/F[23,x]*F[121,x]
F[121,x] = F[68,x]
F[122,x] = F[5,x]*F[57,x]
F[123,x] = F[124,x]
F[124,x] = F[109,x]*F[117,x]*F[23,x]
F[125,x] = F[126,x]
F[126,x] = F[10,x]*F[127,x]*F[23,x]*F[5,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[23,x]
F[129,x] = 1/F[23,x]*F[130,x]
F[130,x] = F[131,x]
F[131,x] = 1/F[23,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = F[134,x]
F[134,x] = -F[254,x]+F[135,x]
F[135,x] = -F[138,x]+F[136,x]
F[136,x] = 1/F[23,x]*F[137,x]
F[137,x] = F[97,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[23,x]
F[140,x] = 1/F[23,x]*F[141,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[2,x]*F[47,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[23,x]
F[146,x] = F[147,x]+F[158,x]
F[147,x] = F[148,x]+F[153,x]
F[148,x] = F[149,x]+F[150,x]
F[149,x] = F[2,x]*F[57,x]
F[150,x] = F[151,x]
F[151,x] = F[129,x]*F[152,x]*F[23,x]
F[152,x] = F[2,x]+F[51,x]
F[153,x] = F[154,x]+F[155,x]
F[154,x] = F[51,x]*F[57,x]
F[155,x] = F[156,x]
F[156,x] = F[129,x]*F[157,x]*F[23,x]
F[157,x] = F[107,x]+F[42,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]+F[163,x]
F[160,x] = F[161,x]*F[2,x]
F[161,x] = F[162,x]
F[162,x] = F[117,x]*F[23,x]
F[163,x] = F[164,x]
F[164,x] = F[117,x]*F[165,x]*F[23,x]
F[165,x] = F[166,x]+F[51,x]
F[166,x] = F[107,x]+F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[23,x]
F[169,x] = F[170,x]+F[174,x]
F[170,x] = -F[173,x]+F[171,x]
F[171,x] = 1/F[23,x]*F[172,x]
F[172,x] = F[42,x]
F[173,x] = F[59,x]*F[9,x]
F[174,x] = -F[203,x]+F[175,x]
F[175,x] = -F[252,x]+F[176,x]
F[176,x] = F[177,x]+F[209,x]
F[177,x] = F[178,x]+F[203,x]
F[178,x] = F[179,x]
F[179,x] = F[180,x]*F[23,x]
F[180,x] = F[181,x]+F[192,x]
F[181,x] = F[182,x]+F[189,x]
F[182,x] = F[183,x]+F[187,x]
F[183,x] = F[184,x]*F[57,x]
F[184,x] = F[185,x]+F[9,x]
F[185,x] = F[186,x]
F[186,x] = F[23,x]*F[5,x]*F[9,x]
F[187,x] = F[188,x]
F[188,x] = F[129,x]*F[23,x]*F[5,x]*F[9,x]
F[189,x] = F[190,x]
F[190,x] = F[117,x]*F[191,x]*F[23,x]*F[5,x]
F[191,x] = F[166,x]+F[4,x]
F[192,x] = F[193,x]
F[193,x] = F[117,x]*F[194,x]*F[23,x]
F[194,x] = -F[201,x]+F[195,x]
F[195,x] = 1/F[23,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[200,x]+F[198,x]
F[198,x] = 1/F[23,x]*F[199,x]
F[199,x] = F[97,x]
F[200,x] = F[167,x]+F[6,x]
F[201,x] = F[202,x]
F[202,x] = F[10,x]*F[191,x]*F[23,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x]*F[207,x]*F[23,x]
F[205,x] = F[206,x]
F[206,x] = F[191,x]*F[23,x]*F[5,x]
F[207,x] = 1/F[10,x]/F[23,x]*F[208,x]
F[208,x] = F[104,x]
F[209,x] = F[210,x]
F[210,x] = F[211,x]*F[224,x]*F[23,x]
F[211,x] = F[184,x]+F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[214,x]*F[23,x]
F[214,x] = F[215,x]+F[222,x]
F[215,x] = F[216,x]+F[220,x]
F[216,x] = F[217,x]+F[218,x]
F[217,x] = F[184,x]*F[47,x]
F[218,x] = F[219,x]
F[219,x] = F[23,x]*F[5,x]*F[57,x]*F[9,x]
F[220,x] = F[221,x]
F[221,x] = F[191,x]*F[207,x]*F[23,x]*F[5,x]
F[222,x] = F[223,x]
F[223,x] = F[194,x]*F[207,x]*F[23,x]
F[224,x] = -F[232,x]+F[225,x]
F[225,x] = F[226,x]+F[227,x]
F[226,x] = F[13,x]*F[28,x]
F[227,x] = -F[231,x]+F[228,x]
F[228,x] = 1/F[23,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[59,x]
F[231,x] = F[13,x]*F[5,x]
F[232,x] = F[233,x]
F[233,x] = F[23,x]*F[234,x]
F[234,x] = 1/F[23,x]*F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[230,x]+F[237,x]
F[237,x] = F[238,x]
F[238,x] = -F[251,x]+F[239,x]
F[239,x] = 1/F[23,x]*F[240,x]
F[240,x] = F[241,x]
F[241,x] = -F[248,x]+F[242,x]
F[242,x] = -F[138,x]+F[243,x]
F[243,x] = -F[244,x]+F[136,x]
F[244,x] = F[245,x]
F[245,x] = F[246,x]*F[28,x]
F[246,x] = F[23,x]+F[247,x]
F[247,x] = F[1,x]+F[23,x]
F[248,x] = -F[250,x]+F[249,x]
F[249,x] = F[133,x]+F[59,x]
F[250,x] = F[247,x]*F[28,x]
F[251,x] = -F[28,x]+F[79,x]
F[252,x] = F[253,x]
F[253,x] = F[23,x]*F[67,x]*F[9,x]
F[254,x] = F[255,x]+F[59,x]
F[255,x] = F[256,x]
F[256,x] = F[23,x]*F[257,x]
F[257,x] = F[258,x]
F[258,x] = F[117,x]*F[23,x]
F[259,x] = F[260,x]
F[260,x] = F[109,x]*F[224,x]*F[23,x]
F[261,x] = F[262,x]
F[262,x] = F[10,x]*F[23,x]*F[67,x]
F[263,x] = F[126,x]
F[264,x] = F[5,x]^2
F[265,x] = F[266,x]
F[266,x] = F[10,x]*F[224,x]*F[23,x]
F[267,x] = F[268,x]
F[268,x] = F[23,x]*F[57,x]*F[9,x]
F[269,x] = F[270,x]
F[270,x] = F[200,x]*F[207,x]*F[23,x]
F[271,x] = F[272,x]
F[272,x] = F[23,x]*F[273,x]
F[273,x] = F[174,x]+F[274,x]
F[274,x] = F[170,x]+F[8,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_{23}\! \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_{23}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{271}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{41}\! \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_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{23}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{14}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{5}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{23}\! \left(x \right)
F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{22}\! \left(x \right) = F_{6}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{24}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{17}\! \left(x \right)
F_{28}\! \left(x \right) = F_{28}\! \left(x \right) x +F_{28} \left(x \right)^{2}+x
F_{29}\! \left(x \right) = F_{13}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{1}\! \left(x \right)+F_{30}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{23}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{1}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{23}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{30}\! \left(x \right)+F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{6}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{23}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{269}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{267}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right) F_{6}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{48}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{52}\! \left(x \right) = F_{144}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{23}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{131}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{161}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{28}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{23}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{67}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{28}\! \left(x \right) F_{5}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{13}\! \left(x \right) F_{23}\! \left(x \right) F_{62}\! \left(x \right)
F_{67}\! \left(x \right) = F_{265}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{264}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{10}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{73}\! \left(x \right) = F_{69}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{10}\! \left(x \right) F_{28}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{13}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{263}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{259}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{125}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{23}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{123}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{115}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{57}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{94}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{47}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{51}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{21}\! \left(x \right)
F_{99}\! \left(x \right) = F_{10}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{23}\! \left(x \right)
F_{102}\! \left(x \right) = F_{21}\! \left(x \right)+F_{75}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{114}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{23}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{94}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{10} \left(x \right)^{2} F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{47}\! \left(x \right) F_{5}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right) F_{117}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{10}\! \left(x \right) F_{23}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{68}\! \left(x \right)
F_{122}\! \left(x \right) = F_{5}\! \left(x \right) F_{57}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{109}\! \left(x \right) F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{10}\! \left(x \right) F_{127}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{254}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = \frac{F_{137}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{137}\! \left(x \right) = F_{97}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{23}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{23}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{158}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{153}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{150}\! \left(x \right)
F_{149}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{129}\! \left(x \right) F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{152}\! \left(x \right) = F_{2}\! \left(x \right)+F_{51}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{155}\! \left(x \right)
F_{154}\! \left(x \right) = F_{51}\! \left(x \right) F_{57}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{129}\! \left(x \right) F_{157}\! \left(x \right) F_{23}\! \left(x \right)
F_{157}\! \left(x \right) = F_{107}\! \left(x \right)+F_{42}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{163}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{2}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{117}\! \left(x \right) F_{165}\! \left(x \right) F_{23}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{51}\! \left(x \right)
F_{166}\! \left(x \right) = F_{107}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{23}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{174}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{42}\! \left(x \right)
F_{173}\! \left(x \right) = F_{59}\! \left(x \right) F_{9}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{209}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{203}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right) F_{23}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{192}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{189}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{187}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right) F_{57}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{9}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{129}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{117}\! \left(x \right) F_{191}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{191}\! \left(x \right) = F_{166}\! \left(x \right)+F_{4}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{117}\! \left(x \right) F_{194}\! \left(x \right) F_{23}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{201}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{97}\! \left(x \right)
F_{200}\! \left(x \right) = F_{167}\! \left(x \right)+F_{6}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{10}\! \left(x \right) F_{191}\! \left(x \right) F_{23}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{191}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{207}\! \left(x \right) = \frac{F_{208}\! \left(x \right)}{F_{10}\! \left(x \right) F_{23}\! \left(x \right)}
F_{208}\! \left(x \right) = F_{104}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{211}\! \left(x \right) = F_{184}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right) F_{23}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{222}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{220}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{218}\! \left(x \right)
F_{217}\! \left(x \right) = F_{184}\! \left(x \right) F_{47}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{23}\! \left(x \right) F_{5}\! \left(x \right) F_{57}\! \left(x \right) F_{9}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{191}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right) F_{5}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{194}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{224}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)+F_{227}\! \left(x \right)
F_{226}\! \left(x \right) = F_{13}\! \left(x \right) F_{28}\! \left(x \right)
F_{227}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{59}\! \left(x \right)
F_{231}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{23}\! \left(x \right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = \frac{F_{235}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{230}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = \frac{F_{240}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{248}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{136}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right) F_{28}\! \left(x \right)
F_{246}\! \left(x \right) = F_{23}\! \left(x \right)+F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{133}\! \left(x \right)+F_{59}\! \left(x \right)
F_{250}\! \left(x \right) = F_{247}\! \left(x \right) F_{28}\! \left(x \right)
F_{251}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{79}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{23}\! \left(x \right) F_{67}\! \left(x \right) F_{9}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{59}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{23}\! \left(x \right) F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{117}\! \left(x \right) F_{23}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{109}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right) F_{67}\! \left(x \right)
F_{263}\! \left(x \right) = F_{126}\! \left(x \right)
F_{264}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{10}\! \left(x \right) F_{224}\! \left(x \right) F_{23}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{23}\! \left(x \right) F_{57}\! \left(x \right) F_{9}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{200}\! \left(x \right) F_{207}\! \left(x \right) F_{23}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{23}\! \left(x \right) F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{174}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{170}\! \left(x \right)+F_{8}\! \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_23(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_23(x)*F_8(x))
Eq(F_8(x), F_271(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_41(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_13(x)*F_23(x))
Eq(F_13(x), F_14(x)/F_33(x))
Eq(F_14(x), F_15(x) - F_24(x))
Eq(F_15(x), F_16(x)/F_23(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), -F_0(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_5(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_23(x))
Eq(F_21(x), F_22(x)/F_23(x))
Eq(F_22(x), F_6(x))
Eq(F_23(x), x)
Eq(F_24(x), F_25(x) - F_29(x))
Eq(F_25(x), F_26(x)/F_23(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_17(x) - F_28(x))
Eq(F_28(x), (x - 3)*(F_28(x) + 1) + (F_28(x) + 1)**2 + F_28(x) + 2)
Eq(F_29(x), F_13(x)*F_30(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_23(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_1(x) + F_30(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_23(x)*F_37(x))
Eq(F_37(x), F_1(x) + F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_23(x)*F_40(x))
Eq(F_40(x), F_30(x) + F_38(x))
Eq(F_41(x), F_42(x) + F_6(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_23(x)*F_44(x))
Eq(F_44(x), F_269(x) + F_45(x))
Eq(F_45(x), F_267(x) + F_46(x))
Eq(F_46(x), F_47(x)*F_6(x))
Eq(F_47(x), F_48(x)/F_0(x))
Eq(F_48(x), F_49(x) - F_52(x))
Eq(F_49(x), F_50(x)/F_23(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), -F_0(x) + F_4(x))
Eq(F_52(x), F_144(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_23(x)*F_55(x))
Eq(F_55(x), F_131(x) + F_56(x))
Eq(F_56(x), F_161(x) + F_57(x))
Eq(F_57(x), F_58(x)/F_23(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_28(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_23(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_67(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_28(x)*F_5(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_13(x)*F_23(x)*F_62(x))
Eq(F_67(x), F_265(x) + F_68(x))
Eq(F_68(x), -F_264(x) + F_69(x))
Eq(F_69(x), F_10(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_23(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_80(x))
Eq(F_73(x), F_69(x) + F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_10(x)*F_28(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_23(x)*F_72(x)*F_78(x))
Eq(F_78(x), F_28(x) + F_79(x))
Eq(F_79(x), F_13(x) - F_5(x))
Eq(F_80(x), -F_263(x) + F_81(x))
Eq(F_81(x), -F_261(x) + F_82(x))
Eq(F_82(x), F_259(x) + F_83(x))
Eq(F_83(x), F_125(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_23(x)*F_86(x))
Eq(F_86(x), F_123(x) + F_87(x))
Eq(F_87(x), F_115(x) + F_88(x))
Eq(F_88(x), F_57(x)*F_89(x))
Eq(F_89(x), F_90(x) + F_94(x))
Eq(F_90(x), F_91(x)/F_47(x))
Eq(F_91(x), -F_103(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_23(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_95(x) - F_98(x))
Eq(F_95(x), F_96(x)/F_23(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), -F_28(x) + F_51(x))
Eq(F_98(x), F_21(x) - F_99(x))
Eq(F_99(x), F_10(x) + F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_23(x))
Eq(F_102(x), F_21(x) + F_75(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_114(x))
Eq(F_105(x), F_106(x)/F_23(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_23(x))
Eq(F_109(x), F_110(x) - F_112(x))
Eq(F_110(x), F_111(x)/F_23(x))
Eq(F_111(x), F_94(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_10(x)**2*F_23(x))
Eq(F_114(x), F_47(x)*F_5(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x)*F_117(x)*F_23(x)*F_5(x))
Eq(F_117(x), F_118(x)/(F_10(x)*F_23(x)))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_122(x))
Eq(F_120(x), F_121(x)/F_23(x))
Eq(F_121(x), F_68(x))
Eq(F_122(x), F_5(x)*F_57(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_109(x)*F_117(x)*F_23(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_10(x)*F_127(x)*F_23(x)*F_5(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_23(x))
Eq(F_129(x), F_130(x)/F_23(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)/F_23(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_254(x))
Eq(F_135(x), F_136(x) - F_138(x))
Eq(F_136(x), F_137(x)/F_23(x))
Eq(F_137(x), F_97(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_23(x))
Eq(F_140(x), F_141(x)/F_23(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_2(x)*F_47(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_23(x))
Eq(F_146(x), F_147(x) + F_158(x))
Eq(F_147(x), F_148(x) + F_153(x))
Eq(F_148(x), F_149(x) + F_150(x))
Eq(F_149(x), F_2(x)*F_57(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_129(x)*F_152(x)*F_23(x))
Eq(F_152(x), F_2(x) + F_51(x))
Eq(F_153(x), F_154(x) + F_155(x))
Eq(F_154(x), F_51(x)*F_57(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_129(x)*F_157(x)*F_23(x))
Eq(F_157(x), F_107(x) + F_42(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x) + F_163(x))
Eq(F_160(x), F_161(x)*F_2(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_117(x)*F_23(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_117(x)*F_165(x)*F_23(x))
Eq(F_165(x), F_166(x) + F_51(x))
Eq(F_166(x), F_107(x) + F_167(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_23(x))
Eq(F_169(x), F_170(x) + F_174(x))
Eq(F_170(x), F_171(x) - F_173(x))
Eq(F_171(x), F_172(x)/F_23(x))
Eq(F_172(x), F_42(x))
Eq(F_173(x), F_59(x)*F_9(x))
Eq(F_174(x), F_175(x) - F_203(x))
Eq(F_175(x), F_176(x) - F_252(x))
Eq(F_176(x), F_177(x) + F_209(x))
Eq(F_177(x), F_178(x) + F_203(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_180(x)*F_23(x))
Eq(F_180(x), F_181(x) + F_192(x))
Eq(F_181(x), F_182(x) + F_189(x))
Eq(F_182(x), F_183(x) + F_187(x))
Eq(F_183(x), F_184(x)*F_57(x))
Eq(F_184(x), F_185(x) + F_9(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_23(x)*F_5(x)*F_9(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_129(x)*F_23(x)*F_5(x)*F_9(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_117(x)*F_191(x)*F_23(x)*F_5(x))
Eq(F_191(x), F_166(x) + F_4(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_117(x)*F_194(x)*F_23(x))
Eq(F_194(x), F_195(x) - F_201(x))
Eq(F_195(x), F_196(x)/F_23(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x) - F_200(x))
Eq(F_198(x), F_199(x)/F_23(x))
Eq(F_199(x), F_97(x))
Eq(F_200(x), F_167(x) + F_6(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_10(x)*F_191(x)*F_23(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x)*F_207(x)*F_23(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_191(x)*F_23(x)*F_5(x))
Eq(F_207(x), F_208(x)/(F_10(x)*F_23(x)))
Eq(F_208(x), F_104(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_211(x)*F_224(x)*F_23(x))
Eq(F_211(x), F_184(x) + F_212(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_214(x)*F_23(x))
Eq(F_214(x), F_215(x) + F_222(x))
Eq(F_215(x), F_216(x) + F_220(x))
Eq(F_216(x), F_217(x) + F_218(x))
Eq(F_217(x), F_184(x)*F_47(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_23(x)*F_5(x)*F_57(x)*F_9(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_191(x)*F_207(x)*F_23(x)*F_5(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_194(x)*F_207(x)*F_23(x))
Eq(F_224(x), F_225(x) - F_232(x))
Eq(F_225(x), F_226(x) + F_227(x))
Eq(F_226(x), F_13(x)*F_28(x))
Eq(F_227(x), F_228(x) - F_231(x))
Eq(F_228(x), F_229(x)/F_23(x))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_59(x))
Eq(F_231(x), F_13(x)*F_5(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_23(x)*F_234(x))
Eq(F_234(x), F_235(x)/F_23(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_230(x) + F_237(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) - F_251(x))
Eq(F_239(x), F_240(x)/F_23(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x) - F_248(x))
Eq(F_242(x), -F_138(x) + F_243(x))
Eq(F_243(x), F_136(x) - F_244(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_246(x)*F_28(x))
Eq(F_246(x), F_23(x) + F_247(x))
Eq(F_247(x), F_1(x) + F_23(x))
Eq(F_248(x), F_249(x) - F_250(x))
Eq(F_249(x), F_133(x) + F_59(x))
Eq(F_250(x), F_247(x)*F_28(x))
Eq(F_251(x), -F_28(x) + F_79(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_23(x)*F_67(x)*F_9(x))
Eq(F_254(x), F_255(x) + F_59(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_23(x)*F_257(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_117(x)*F_23(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_109(x)*F_224(x)*F_23(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_10(x)*F_23(x)*F_67(x))
Eq(F_263(x), F_126(x))
Eq(F_264(x), F_5(x)**2)
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_10(x)*F_224(x)*F_23(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_23(x)*F_57(x)*F_9(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_200(x)*F_207(x)*F_23(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_23(x)*F_273(x))
Eq(F_273(x), F_174(x) + F_274(x))
Eq(F_274(x), F_170(x) + F_8(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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "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", 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"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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1]], "symmetry": false}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25775/
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[24,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[24,x]*F[8,x]
F[8,x] = F[279,x]+F[9,x]
F[9,x] = F[10,x]+F[40,x]
F[10,x] = F[11,x]+F[5,x]
F[11,x] = F[12,x]
F[12,x] = F[10,x]*F[13,x]*F[24,x]
F[13,x] = 1/F[32,x]*F[14,x]
F[14,x] = -F[25,x]+F[15,x]
F[15,x] = 1/F[24,x]*F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]+F[19,x]
F[18,x] = (1+F[18,x])*x+F[18,x]^2
F[19,x] = -F[2,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[24,x]
F[22,x] = 1/F[24,x]*F[23,x]
F[23,x] = F[6,x]
F[24,x] = x
F[25,x] = -F[28,x]+F[26,x]
F[26,x] = 1/F[24,x]*F[27,x]
F[27,x] = F[19,x]
F[28,x] = F[13,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[24,x]*F[31,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[1,x]+F[29,x]
F[33,x] = F[34,x]+F[37,x]
F[34,x] = F[35,x]
F[35,x] = F[24,x]*F[36,x]
F[36,x] = F[1,x]+F[34,x]
F[37,x] = F[38,x]
F[38,x] = F[24,x]*F[39,x]
F[39,x] = F[29,x]+F[37,x]
F[40,x] = F[41,x]+F[6,x]
F[41,x] = F[42,x]
F[42,x] = F[24,x]*F[43,x]
F[43,x] = F[277,x]+F[44,x]
F[44,x] = F[275,x]+F[45,x]
F[45,x] = F[46,x]*F[6,x]
F[46,x] = 1/F[0,x]*F[47,x]
F[47,x] = -F[52,x]+F[48,x]
F[48,x] = 1/F[24,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[18,x]+F[51,x]
F[51,x] = -F[2,x]+F[6,x]
F[52,x] = F[53,x]+F[58,x]
F[53,x] = -F[56,x]+F[54,x]
F[54,x] = 1/F[24,x]*F[55,x]
F[55,x] = F[51,x]
F[56,x] = F[57,x]+F[58,x]
F[57,x] = F[2,x]*F[46,x]
F[58,x] = F[59,x]
F[59,x] = F[24,x]*F[60,x]
F[60,x] = F[209,x]+F[61,x]
F[61,x] = F[204,x]+F[62,x]
F[62,x] = F[201,x]+F[63,x]
F[63,x] = F[2,x]*F[64,x]
F[64,x] = 1/F[24,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[18,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[24,x]*F[69,x]
F[69,x] = F[70,x]+F[74,x]
F[70,x] = F[71,x]+F[72,x]
F[71,x] = F[18,x]*F[5,x]
F[72,x] = F[73,x]
F[73,x] = F[13,x]*F[24,x]*F[69,x]
F[74,x] = F[199,x]+F[75,x]
F[75,x] = -F[198,x]+F[76,x]
F[76,x] = F[10,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[24,x]*F[79,x]
F[79,x] = F[80,x]+F[87,x]
F[80,x] = F[76,x]+F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[10,x]*F[18,x]
F[83,x] = F[84,x]
F[84,x] = F[24,x]*F[79,x]*F[85,x]
F[85,x] = F[18,x]+F[86,x]
F[86,x] = -F[5,x]+F[13,x]
F[87,x] = -F[197,x]+F[88,x]
F[88,x] = -F[195,x]+F[89,x]
F[89,x] = F[165,x]+F[90,x]
F[90,x] = F[143,x]+F[91,x]
F[91,x] = F[92,x]
F[92,x] = F[24,x]*F[93,x]
F[93,x] = F[141,x]+F[94,x]
F[94,x] = F[121,x]+F[95,x]
F[95,x] = F[64,x]*F[96,x]
F[96,x] = F[101,x]+F[97,x]
F[97,x] = 1/F[46,x]*F[98,x]
F[98,x] = -F[109,x]+F[99,x]
F[99,x] = 1/F[24,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = -F[104,x]+F[102,x]
F[102,x] = 1/F[24,x]*F[103,x]
F[103,x] = F[51,x]
F[104,x] = -F[105,x]+F[22,x]
F[105,x] = F[10,x]+F[106,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[24,x]
F[108,x] = F[22,x]+F[82,x]
F[109,x] = F[110,x]
F[110,x] = -F[120,x]+F[111,x]
F[111,x] = 1/F[24,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[24,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[24,x]*F[117,x]
F[117,x] = F[101,x]
F[118,x] = F[119,x]
F[119,x] = F[10,x]^2*F[24,x]
F[120,x] = F[46,x]*F[5,x]
F[121,x] = F[122,x]
F[122,x] = F[10,x]*F[123,x]*F[24,x]*F[5,x]
F[123,x] = 1/F[10,x]/F[24,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[138,x]
F[126,x] = F[127,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[24,x]*F[129,x]
F[129,x] = F[53,x]
F[130,x] = F[131,x]+F[64,x]
F[131,x] = F[132,x]
F[132,x] = -F[133,x]+F[128,x]
F[133,x] = -F[136,x]+F[134,x]
F[134,x] = 1/F[24,x]*F[135,x]
F[135,x] = F[75,x]
F[136,x] = F[137,x]+F[138,x]
F[137,x] = F[18,x]*F[64,x]
F[138,x] = F[139,x]
F[139,x] = F[123,x]*F[140,x]*F[24,x]
F[140,x] = F[113,x]+F[18,x]
F[141,x] = F[142,x]
F[142,x] = F[115,x]*F[123,x]*F[24,x]
F[143,x] = F[144,x]
F[144,x] = F[10,x]*F[145,x]*F[24,x]*F[5,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[24,x]
F[147,x] = 1/F[24,x]*F[148,x]
F[148,x] = F[149,x]
F[149,x] = 1/F[24,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = F[152,x]
F[152,x] = -F[160,x]+F[153,x]
F[153,x] = -F[156,x]+F[154,x]
F[154,x] = 1/F[24,x]*F[155,x]
F[155,x] = F[51,x]
F[156,x] = F[157,x]
F[157,x] = F[158,x]*F[24,x]
F[158,x] = 1/F[24,x]*F[159,x]
F[159,x] = F[56,x]
F[160,x] = F[161,x]+F[66,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[24,x]
F[163,x] = F[164,x]
F[164,x] = F[123,x]*F[24,x]
F[165,x] = F[166,x]
F[166,x] = F[115,x]*F[167,x]*F[24,x]
F[167,x] = -F[175,x]+F[168,x]
F[168,x] = F[169,x]+F[170,x]
F[169,x] = F[13,x]*F[18,x]
F[170,x] = -F[174,x]+F[171,x]
F[171,x] = 1/F[24,x]*F[172,x]
F[172,x] = F[173,x]
F[173,x] = F[66,x]
F[174,x] = F[13,x]*F[5,x]
F[175,x] = F[176,x]
F[176,x] = F[177,x]*F[24,x]
F[177,x] = 1/F[24,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[173,x]+F[180,x]
F[180,x] = F[181,x]
F[181,x] = -F[194,x]+F[182,x]
F[182,x] = 1/F[24,x]*F[183,x]
F[183,x] = F[184,x]
F[184,x] = -F[191,x]+F[185,x]
F[185,x] = -F[156,x]+F[186,x]
F[186,x] = -F[187,x]+F[154,x]
F[187,x] = F[188,x]
F[188,x] = F[18,x]*F[189,x]
F[189,x] = F[190,x]+F[24,x]
F[190,x] = F[1,x]+F[24,x]
F[191,x] = -F[193,x]+F[192,x]
F[192,x] = F[151,x]+F[66,x]
F[193,x] = F[18,x]*F[190,x]
F[194,x] = -F[18,x]+F[86,x]
F[195,x] = F[196,x]
F[196,x] = F[10,x]*F[24,x]*F[74,x]
F[197,x] = F[144,x]
F[198,x] = F[5,x]^2
F[199,x] = F[200,x]
F[200,x] = F[10,x]*F[167,x]*F[24,x]
F[201,x] = F[202,x]
F[202,x] = F[147,x]*F[203,x]*F[24,x]
F[203,x] = F[2,x]+F[50,x]
F[204,x] = F[205,x]+F[206,x]
F[205,x] = F[50,x]*F[64,x]
F[206,x] = F[207,x]
F[207,x] = F[147,x]*F[208,x]*F[24,x]
F[208,x] = F[113,x]+F[41,x]
F[209,x] = F[210,x]
F[210,x] = F[138,x]+F[211,x]
F[211,x] = F[212,x]
F[212,x] = F[123,x]*F[213,x]*F[24,x]
F[213,x] = F[214,x]
F[214,x] = F[215,x]*F[24,x]
F[215,x] = F[216,x]+F[221,x]
F[216,x] = F[217,x]+F[8,x]
F[217,x] = -F[220,x]+F[218,x]
F[218,x] = 1/F[24,x]*F[219,x]
F[219,x] = F[41,x]
F[220,x] = F[66,x]*F[9,x]
F[221,x] = -F[252,x]+F[222,x]
F[222,x] = -F[273,x]+F[223,x]
F[223,x] = F[224,x]+F[258,x]
F[224,x] = F[225,x]+F[252,x]
F[225,x] = F[226,x]
F[226,x] = F[227,x]*F[24,x]
F[227,x] = F[228,x]+F[239,x]
F[228,x] = F[229,x]+F[236,x]
F[229,x] = F[230,x]+F[234,x]
F[230,x] = F[231,x]*F[64,x]
F[231,x] = F[232,x]+F[9,x]
F[232,x] = F[233,x]
F[233,x] = F[24,x]*F[5,x]*F[9,x]
F[234,x] = F[235,x]
F[235,x] = F[147,x]*F[24,x]*F[5,x]*F[9,x]
F[236,x] = F[237,x]
F[237,x] = F[123,x]*F[238,x]*F[24,x]*F[5,x]
F[238,x] = F[10,x]+F[213,x]
F[239,x] = F[240,x]
F[240,x] = F[123,x]*F[24,x]*F[241,x]
F[241,x] = -F[250,x]+F[242,x]
F[242,x] = F[243,x]+F[248,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[24,x]*F[245,x]
F[245,x] = F[208,x]
F[246,x] = F[247,x]
F[247,x] = F[10,x]*F[24,x]*F[9,x]
F[248,x] = F[249,x]
F[249,x] = F[10,x]*F[24,x]*F[9,x]
F[250,x] = F[251,x]
F[251,x] = F[10,x]*F[238,x]*F[24,x]
F[252,x] = F[253,x]
F[253,x] = F[24,x]*F[254,x]*F[256,x]
F[254,x] = F[255,x]
F[255,x] = F[238,x]*F[24,x]*F[5,x]
F[256,x] = 1/F[10,x]/F[24,x]*F[257,x]
F[257,x] = F[110,x]
F[258,x] = F[259,x]
F[259,x] = F[167,x]*F[24,x]*F[260,x]
F[260,x] = F[231,x]+F[261,x]
F[261,x] = F[262,x]
F[262,x] = F[24,x]*F[263,x]
F[263,x] = F[264,x]+F[271,x]
F[264,x] = F[265,x]+F[269,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[231,x]*F[46,x]
F[267,x] = F[268,x]
F[268,x] = F[24,x]*F[5,x]*F[64,x]*F[9,x]
F[269,x] = F[270,x]
F[270,x] = F[238,x]*F[24,x]*F[256,x]*F[5,x]
F[271,x] = F[272,x]
F[272,x] = F[24,x]*F[241,x]*F[256,x]
F[273,x] = F[274,x]
F[274,x] = F[24,x]*F[74,x]*F[9,x]
F[275,x] = F[276,x]
F[276,x] = F[24,x]*F[64,x]*F[9,x]
F[277,x] = F[278,x]
F[278,x] = F[213,x]*F[24,x]*F[256,x]
F[279,x] = F[280,x]
F[280,x] = F[215,x]*F[24,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_{24}\! \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_{24}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{279}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{40}\! \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_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{24}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{32}\! \left(x \right)}
F_{14}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = F_{18}\! \left(x \right) x +F_{18} \left(x \right)^{2}+x
F_{19}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{24}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{6}\! \left(x \right)
F_{24}\! \left(x \right) = x
F_{25}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{19}\! \left(x \right)
F_{28}\! \left(x \right) = F_{13}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{24}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{37}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{24}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{34}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{24}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{37}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{6}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{24}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{277}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{275}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right) F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{47}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{18}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{58}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{58}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{24}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{209}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{204}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{201}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{2}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{18}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{24}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{74}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{72}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right) F_{5}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{13}\! \left(x \right) F_{24}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{199}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{10}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{24}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{87}\! \left(x \right)
F_{80}\! \left(x \right) = F_{76}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{10}\! \left(x \right) F_{18}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{24}\! \left(x \right) F_{79}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{18}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{13}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{165}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{143}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{24}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{141}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{121}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{64}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{101}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{46}\! \left(x \right)}
F_{98}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{51}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{10}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{24}\! \left(x \right)
F_{108}\! \left(x \right) = F_{22}\! \left(x \right)+F_{82}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{24}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{101}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{10} \left(x \right)^{2} F_{24}\! \left(x \right)
F_{120}\! \left(x \right) = F_{46}\! \left(x \right) F_{5}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{10}\! \left(x \right) F_{123}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{10}\! \left(x \right) F_{24}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{138}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{53}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{64}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = -F_{133}\! \left(x \right)+F_{128}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{75}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)
F_{137}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{123}\! \left(x \right) F_{140}\! \left(x \right) F_{24}\! \left(x \right)
F_{140}\! \left(x \right) = F_{113}\! \left(x \right)+F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{115}\! \left(x \right) F_{123}\! \left(x \right) F_{24}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{10}\! \left(x \right) F_{145}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{24}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{51}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{24}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{56}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{66}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{24}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{123}\! \left(x \right) F_{24}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{115}\! \left(x \right) F_{167}\! \left(x \right) F_{24}\! \left(x \right)
F_{167}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)
F_{169}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{174}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = \frac{F_{172}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{66}\! \left(x \right)
F_{174}\! \left(x \right) = F_{13}\! \left(x \right) F_{5}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{24}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{173}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{154}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{18}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{24}\! \left(x \right)
F_{190}\! \left(x \right) = F_{1}\! \left(x \right)+F_{24}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{151}\! \left(x \right)+F_{66}\! \left(x \right)
F_{193}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{18}\! \left(x \right)+F_{86}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{74}\! \left(x \right)
F_{197}\! \left(x \right) = F_{144}\! \left(x \right)
F_{198}\! \left(x \right) = F_{5} \left(x \right)^{2}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{10}\! \left(x \right) F_{167}\! \left(x \right) F_{24}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{147}\! \left(x \right) F_{203}\! \left(x \right) F_{24}\! \left(x \right)
F_{203}\! \left(x \right) = F_{2}\! \left(x \right)+F_{50}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{206}\! \left(x \right)
F_{205}\! \left(x \right) = F_{50}\! \left(x \right) F_{64}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{147}\! \left(x \right) F_{208}\! \left(x \right) F_{24}\! \left(x \right)
F_{208}\! \left(x \right) = F_{113}\! \left(x \right)+F_{41}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{138}\! \left(x \right)+F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{123}\! \left(x \right) F_{213}\! \left(x \right) F_{24}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right) F_{24}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)+F_{221}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{8}\! \left(x \right)
F_{217}\! \left(x \right) = -F_{220}\! \left(x \right)+F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{41}\! \left(x \right)
F_{220}\! \left(x \right) = F_{66}\! \left(x \right) F_{9}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = -F_{273}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{258}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{252}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{24}\! \left(x \right)
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{239}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{236}\! \left(x \right)
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{234}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right) F_{64}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{9}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{147}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{9}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{123}\! \left(x \right) F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{238}\! \left(x \right) = F_{10}\! \left(x \right)+F_{213}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{123}\! \left(x \right) F_{24}\! \left(x \right) F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = -F_{250}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{248}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{208}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{9}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right) F_{9}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{10}\! \left(x \right) F_{238}\! \left(x \right) F_{24}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{24}\! \left(x \right) F_{254}\! \left(x \right) F_{256}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{256}\! \left(x \right) = \frac{F_{257}\! \left(x \right)}{F_{10}\! \left(x \right) F_{24}\! \left(x \right)}
F_{257}\! \left(x \right) = F_{110}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{167}\! \left(x \right) F_{24}\! \left(x \right) F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{231}\! \left(x \right)+F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{24}\! \left(x \right) F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)+F_{271}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)+F_{269}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{231}\! \left(x \right) F_{46}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{24}\! \left(x \right) F_{5}\! \left(x \right) F_{64}\! \left(x \right) F_{9}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{238}\! \left(x \right) F_{24}\! \left(x \right) F_{256}\! \left(x \right) F_{5}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{24}\! \left(x \right) F_{241}\! \left(x \right) F_{256}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{24}\! \left(x \right) F_{74}\! \left(x \right) F_{9}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{24}\! \left(x \right) F_{64}\! \left(x \right) F_{9}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{213}\! \left(x \right) F_{24}\! \left(x \right) F_{256}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{215}\! \left(x \right) F_{24}\! \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_24(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_24(x)*F_8(x))
Eq(F_8(x), F_279(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_40(x))
Eq(F_10(x), F_11(x) + F_5(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_10(x)*F_13(x)*F_24(x))
Eq(F_13(x), F_14(x)/F_32(x))
Eq(F_14(x), F_15(x) - F_25(x))
Eq(F_15(x), F_16(x)/F_24(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x) + F_19(x))
Eq(F_18(x), (x - 3)*(F_18(x) + 1) + (F_18(x) + 1)**2 + F_18(x) + 2)
Eq(F_19(x), -F_2(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_24(x))
Eq(F_22(x), F_23(x)/F_24(x))
Eq(F_23(x), F_6(x))
Eq(F_24(x), x)
Eq(F_25(x), F_26(x) - F_28(x))
Eq(F_26(x), F_27(x)/F_24(x))
Eq(F_27(x), F_19(x))
Eq(F_28(x), F_13(x)*F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_24(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_1(x) + F_29(x))
Eq(F_33(x), F_34(x) + F_37(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_24(x)*F_36(x))
Eq(F_36(x), F_1(x) + F_34(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_24(x)*F_39(x))
Eq(F_39(x), F_29(x) + F_37(x))
Eq(F_40(x), F_41(x) + F_6(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_24(x)*F_43(x))
Eq(F_43(x), F_277(x) + F_44(x))
Eq(F_44(x), F_275(x) + F_45(x))
Eq(F_45(x), F_46(x)*F_6(x))
Eq(F_46(x), F_47(x)/F_0(x))
Eq(F_47(x), F_48(x) - F_52(x))
Eq(F_48(x), F_49(x)/F_24(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_18(x) + F_51(x))
Eq(F_51(x), -F_2(x) + F_6(x))
Eq(F_52(x), F_53(x) + F_58(x))
Eq(F_53(x), F_54(x) - F_56(x))
Eq(F_54(x), F_55(x)/F_24(x))
Eq(F_55(x), F_51(x))
Eq(F_56(x), F_57(x) + F_58(x))
Eq(F_57(x), F_2(x)*F_46(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_24(x)*F_60(x))
Eq(F_60(x), F_209(x) + F_61(x))
Eq(F_61(x), F_204(x) + F_62(x))
Eq(F_62(x), F_201(x) + F_63(x))
Eq(F_63(x), F_2(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_24(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_18(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_24(x)*F_69(x))
Eq(F_69(x), F_70(x) + F_74(x))
Eq(F_70(x), F_71(x) + F_72(x))
Eq(F_71(x), F_18(x)*F_5(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_13(x)*F_24(x)*F_69(x))
Eq(F_74(x), F_199(x) + F_75(x))
Eq(F_75(x), -F_198(x) + F_76(x))
Eq(F_76(x), F_10(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_24(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_87(x))
Eq(F_80(x), F_76(x) + F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_10(x)*F_18(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_24(x)*F_79(x)*F_85(x))
Eq(F_85(x), F_18(x) + F_86(x))
Eq(F_86(x), F_13(x) - F_5(x))
Eq(F_87(x), -F_197(x) + F_88(x))
Eq(F_88(x), -F_195(x) + F_89(x))
Eq(F_89(x), F_165(x) + F_90(x))
Eq(F_90(x), F_143(x) + F_91(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_24(x)*F_93(x))
Eq(F_93(x), F_141(x) + F_94(x))
Eq(F_94(x), F_121(x) + F_95(x))
Eq(F_95(x), F_64(x)*F_96(x))
Eq(F_96(x), F_101(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_46(x))
Eq(F_98(x), -F_109(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_24(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x) - F_104(x))
Eq(F_102(x), F_103(x)/F_24(x))
Eq(F_103(x), F_51(x))
Eq(F_104(x), -F_105(x) + F_22(x))
Eq(F_105(x), F_10(x) + F_106(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_24(x))
Eq(F_108(x), F_22(x) + F_82(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) - F_120(x))
Eq(F_111(x), F_112(x)/F_24(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_24(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_24(x))
Eq(F_117(x), F_101(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_10(x)**2*F_24(x))
Eq(F_120(x), F_46(x)*F_5(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_10(x)*F_123(x)*F_24(x)*F_5(x))
Eq(F_123(x), F_124(x)/(F_10(x)*F_24(x)))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_138(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_24(x))
Eq(F_129(x), F_53(x))
Eq(F_130(x), F_131(x) + F_64(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_128(x) - F_133(x))
Eq(F_133(x), F_134(x) - F_136(x))
Eq(F_134(x), F_135(x)/F_24(x))
Eq(F_135(x), F_75(x))
Eq(F_136(x), F_137(x) + F_138(x))
Eq(F_137(x), F_18(x)*F_64(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_123(x)*F_140(x)*F_24(x))
Eq(F_140(x), F_113(x) + F_18(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_115(x)*F_123(x)*F_24(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_10(x)*F_145(x)*F_24(x)*F_5(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_24(x))
Eq(F_147(x), F_148(x)/F_24(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)/F_24(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_153(x) - F_160(x))
Eq(F_153(x), F_154(x) - F_156(x))
Eq(F_154(x), F_155(x)/F_24(x))
Eq(F_155(x), F_51(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_158(x)*F_24(x))
Eq(F_158(x), F_159(x)/F_24(x))
Eq(F_159(x), F_56(x))
Eq(F_160(x), F_161(x) + F_66(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_24(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_123(x)*F_24(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_115(x)*F_167(x)*F_24(x))
Eq(F_167(x), F_168(x) - F_175(x))
Eq(F_168(x), F_169(x) + F_170(x))
Eq(F_169(x), F_13(x)*F_18(x))
Eq(F_170(x), F_171(x) - F_174(x))
Eq(F_171(x), F_172(x)/F_24(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_66(x))
Eq(F_174(x), F_13(x)*F_5(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x)*F_24(x))
Eq(F_177(x), F_178(x)/F_24(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_173(x) + F_180(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_182(x) - F_194(x))
Eq(F_182(x), F_183(x)/F_24(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x) - F_191(x))
Eq(F_185(x), -F_156(x) + F_186(x))
Eq(F_186(x), F_154(x) - F_187(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_18(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_24(x))
Eq(F_190(x), F_1(x) + F_24(x))
Eq(F_191(x), F_192(x) - F_193(x))
Eq(F_192(x), F_151(x) + F_66(x))
Eq(F_193(x), F_18(x)*F_190(x))
Eq(F_194(x), -F_18(x) + F_86(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_10(x)*F_24(x)*F_74(x))
Eq(F_197(x), F_144(x))
Eq(F_198(x), F_5(x)**2)
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_10(x)*F_167(x)*F_24(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_147(x)*F_203(x)*F_24(x))
Eq(F_203(x), F_2(x) + F_50(x))
Eq(F_204(x), F_205(x) + F_206(x))
Eq(F_205(x), F_50(x)*F_64(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_147(x)*F_208(x)*F_24(x))
Eq(F_208(x), F_113(x) + F_41(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_138(x) + F_211(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_123(x)*F_213(x)*F_24(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_215(x)*F_24(x))
Eq(F_215(x), F_216(x) + F_221(x))
Eq(F_216(x), F_217(x) + F_8(x))
Eq(F_217(x), F_218(x) - F_220(x))
Eq(F_218(x), F_219(x)/F_24(x))
Eq(F_219(x), F_41(x))
Eq(F_220(x), F_66(x)*F_9(x))
Eq(F_221(x), F_222(x) - F_252(x))
Eq(F_222(x), F_223(x) - F_273(x))
Eq(F_223(x), F_224(x) + F_258(x))
Eq(F_224(x), F_225(x) + F_252(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_227(x)*F_24(x))
Eq(F_227(x), F_228(x) + F_239(x))
Eq(F_228(x), F_229(x) + F_236(x))
Eq(F_229(x), F_230(x) + F_234(x))
Eq(F_230(x), F_231(x)*F_64(x))
Eq(F_231(x), F_232(x) + F_9(x))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_24(x)*F_5(x)*F_9(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_147(x)*F_24(x)*F_5(x)*F_9(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_123(x)*F_238(x)*F_24(x)*F_5(x))
Eq(F_238(x), F_10(x) + F_213(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_123(x)*F_24(x)*F_241(x))
Eq(F_241(x), F_242(x) - F_250(x))
Eq(F_242(x), F_243(x) + F_248(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_24(x))
Eq(F_245(x), F_208(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_10(x)*F_24(x)*F_9(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_10(x)*F_24(x)*F_9(x))
Eq(F_250(x), F_251(x))
Eq(F_251(x), F_10(x)*F_238(x)*F_24(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_24(x)*F_254(x)*F_256(x))
Eq(F_254(x), F_255(x))
Eq(F_255(x), F_238(x)*F_24(x)*F_5(x))
Eq(F_256(x), F_257(x)/(F_10(x)*F_24(x)))
Eq(F_257(x), F_110(x))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_167(x)*F_24(x)*F_260(x))
Eq(F_260(x), F_231(x) + F_261(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_24(x)*F_263(x))
Eq(F_263(x), F_264(x) + F_271(x))
Eq(F_264(x), F_265(x) + F_269(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_231(x)*F_46(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_24(x)*F_5(x)*F_64(x)*F_9(x))
Eq(F_269(x), F_270(x))
Eq(F_270(x), F_238(x)*F_24(x)*F_256(x)*F_5(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_24(x)*F_241(x)*F_256(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_24(x)*F_74(x)*F_9(x))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_24(x)*F_64(x)*F_9(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_213(x)*F_24(x)*F_256(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_215(x)*F_24(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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 1, 4], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [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, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "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", 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