01342_01432_10342_10432_13042
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3504, 20889, 128390, 807126, 5163051, 33488385, 219689612, 1454925503, 9713336866, 65299240404, 441644710704, 3002955977761, 20515249467259, 140747284746450, 969294238248203, 6698342897235980, 46434488455685198, 322818661056505352, 2250189405506915467, 15722878339684077887, 110107767054855888915, 772691163216562610241, 5432912380199421217707, 38268493699675933951483, 270010529088544576723524, 1908114070017495841542564, 13504241197835831436591089, 95706169898625703381235673, 679170149372132228741568807, 4825630911610233059429344312, 34327095262651144993251561661, 244455818951600126617826701612, 1742685862369788464189437316706, 12435697957610496077783163389515, 88824379250775033574908486965016, 635016963595726069397318671045534, 4543715925556799656380704793678123, 32538127119099077146283037586570057, 233191899744868845249384788551876013, 1672472346201777279578448492206094002, 12003696823480443075141805731172364206, 86212169063941717223599721079963761001, 619594155128667824672200718711632752685, 4455738438681214963466506821810245682081, 32062312165850751874169974260560197574061, 230846093460812176047675797851900619404829, 1663003324078052761743584690816563960362544, 11986640970390118563172685301048176829635828, 86442449921550385344536834577858723582523455, 623697049175856238173250401217773195191769866, 4502250551029176502245814227467211288825572240, 32515293376019940612694439698872546811064755202, 234931262978868102363174928856287131730707277369, 1698175193817235993967460156867504014772813559031, 12280228959376160297349345669448118639531970372250, 88839638582835616882088406854767588609840230223102, 642950873371982780737367679096081949737987352789980, 4654940086332933780040686432776864677840967667302616, 33714021399246617701858555668662773941364186811634121, 244265580285030028679926897897435629127786108774690744, 1770372121777906131232643358758451056254042202058160050, 12835504624294798918649816681328989772637116196851606692, 93090026359728024837653465534976095177056954722716462105, 675353394492015523381004264425463526280144599828389521724, 4901091731582504213574263423556348635339346485611611898229, 35578254077501983651351316374272890953509280805313488685317, 258346684946854711248140915715314296919181884914543689125543, 1876480965829241419489340627761027148859181762661779124109443, 13633429988934776452990709192949136449037122563167538780001448, 99079229442542737550930401298807402492847281581463212707222611, 720233924143489799417164417486321599518437062818328724981064119, 5236909344322812315779431812472505620077418638986156427257701616, 38087655862770740221436707683090343907864424088486476656752871669, 277075689433152645973811808214905480023225267281158589347903683618, 2016113488116768703109539500272276549942716081414381094680878489797, 14673421184309899538554662776830662438552003739821848329105698769434, 106818191630528789607315541624769040890411479757607244570834108129181, 777775303113679685832917286674013215812519547087477750330491041182645, 5664426029108942371567788978129005711692141739637951075980332795662982, 41261814999941336090330001335583480410514829944568966964672557059063831, 300627912274097424973518354337669877077077826197702166567778548995892005, 2190770079079014663664605372767720259655311988914412722935615607561334069, 15967939090203597125010867614457481346174894900079433566474893337774414737, 116408208661888115681134597736538988983354154060339696392168222661296435724, 848787912317566317362690417670879028613491919724395583543796510882094268760, 6190045423886108730452718818704820780228443858101062325930539521953417798270, 45150840809652661790912630446299361908774699677653571883266394570002047281838, 329392378705684167814060532315761297746460625903656460381809402068754814240729, 2403451390340621168944700439981067441576089464326036626602995449270456143779449, 17540003535060208001236212844130693287404143363012663046646547952991909935704743, 128025075475866383959881373980363346064131217874954358578715421062241291340092197, 934609034078751042037223444517674331532487584828757912053500942333555250748309044, 6823906432187909493570474168246665117145839724497644485768305997624402846452880133, 49831382175916019775319384046541090240889812451243387937136678006011610241450181266
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25199/
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[19,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[19,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[304,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[19,x]
F[13,x] = F[14,x]+F[300,x]
F[14,x] = F[15,x]+F[287,x]
F[15,x] = F[16,x]+F[286,x]
F[16,x] = F[17,x]+F[20,x]
F[17,x] = 1/F[19,x]*F[18,x]
F[18,x] = F[2,x]
F[19,x] = x
F[20,x] = F[21,x]+F[22,x]
F[21,x] = -F[0,x]+F[17,x]
F[22,x] = -F[285,x]+F[23,x]
F[23,x] = -F[27,x]+F[24,x]
F[24,x] = 1/F[19,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[2,x]+F[21,x]
F[27,x] = F[28,x]
F[28,x] = F[19,x]*F[29,x]
F[29,x] = 1/F[19,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[34,x]+F[32,x]
F[32,x] = 1/F[19,x]*F[33,x]
F[33,x] = F[26,x]
F[34,x] = -F[39,x]+F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[0,x]*F[17,x]
F[37,x] = -F[38,x]+F[32,x]
F[38,x] = F[17,x]*F[2,x]
F[39,x] = F[17,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[19,x]*F[42,x]
F[42,x] = F[186,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[0,x]*F[39,x]
F[45,x] = -F[183,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[19,x]*F[48,x]
F[48,x] = 1/F[19,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[51,x]+F[53,x]
F[51,x] = F[39,x]*F[52,x]
F[52,x] = F[2,x]+F[6,x]
F[53,x] = F[54,x]
F[54,x] = F[19,x]*F[55,x]*F[57,x]
F[55,x] = 1/F[19,x]*F[56,x]
F[56,x] = F[6,x]
F[57,x] = 1/F[19,x]/F[65,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[60,x]+F[85,x]
F[60,x] = -F[78,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[19,x]*F[63,x]
F[63,x] = F[64,x]+F[70,x]
F[64,x] = F[65,x]*F[66,x]
F[65,x] = 2+F[65,x]^2+(-2+x)*F[65,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[60,x]+F[65,x]
F[68,x] = F[69,x]
F[69,x] = F[19,x]*F[66,x]*F[67,x]
F[70,x] = F[71,x]+F[78,x]
F[71,x] = F[2,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[19,x]*F[74,x]
F[74,x] = F[70,x]+F[75,x]
F[75,x] = -F[61,x]+F[76,x]
F[76,x] = 1/F[19,x]*F[77,x]
F[77,x] = F[26,x]
F[78,x] = F[79,x]
F[79,x] = F[19,x]*F[80,x]*F[82,x]
F[80,x] = 1/F[19,x]*F[81,x]
F[81,x] = F[71,x]
F[82,x] = F[83,x]
F[83,x] = F[19,x]*F[84,x]
F[84,x] = F[1,x]+F[82,x]
F[85,x] = -F[182,x]+F[86,x]
F[86,x] = -F[87,x]+F[74,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = F[75,x]+F[89,x]
F[89,x] = F[67,x]+F[70,x]
F[90,x] = 1/F[181,x]*F[91,x]
F[91,x] = -F[180,x]+F[92,x]
F[92,x] = F[151,x]+F[93,x]
F[93,x] = F[105,x]+F[94,x]
F[94,x] = 1/F[19,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[99,x]+F[97,x]
F[97,x] = 1/F[19,x]*F[98,x]
F[98,x] = F[6,x]
F[99,x] = F[100,x]+F[102,x]
F[100,x] = F[101,x]*F[2,x]
F[101,x] = F[65,x]+F[71,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[19,x]
F[104,x] = F[105,x]+F[151,x]
F[105,x] = F[106,x]+F[150,x]
F[106,x] = F[107,x]*F[88,x]
F[107,x] = F[108,x]+F[2,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[19,x]
F[110,x] = F[111,x]+F[118,x]
F[111,x] = F[107,x]+F[112,x]
F[112,x] = F[113,x]+F[115,x]
F[113,x] = F[114,x]*F[2,x]
F[114,x] = (1+F[114,x])*x+F[114,x]^2
F[115,x] = F[116,x]
F[116,x] = F[110,x]*F[117,x]*F[19,x]
F[117,x] = F[114,x]+F[60,x]
F[118,x] = F[119,x]+F[135,x]
F[119,x] = F[120,x]+F[122,x]
F[120,x] = F[121,x]*F[2,x]
F[121,x] = F[1,x]+F[19,x]
F[122,x] = F[108,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[19,x]
F[125,x] = F[108,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[19,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[107,x]*F[66,x]
F[130,x] = F[0,x]*F[131,x]
F[131,x] = F[132,x]+F[133,x]
F[132,x] = F[107,x]+F[126,x]
F[133,x] = F[134,x]
F[134,x] = F[132,x]*F[19,x]*F[66,x]
F[135,x] = -F[111,x]+F[136,x]
F[136,x] = -F[137,x]+F[55,x]
F[137,x] = F[138,x]+F[140,x]
F[138,x] = F[114,x]+F[139,x]
F[139,x] = F[19,x]*F[2,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[19,x]
F[142,x] = F[143,x]+F[148,x]
F[143,x] = F[108,x]+F[144,x]
F[144,x] = F[114,x]*F[145,x]
F[145,x] = F[146,x]+F[65,x]
F[146,x] = F[147,x]
F[147,x] = F[145,x]*F[19,x]*F[67,x]
F[148,x] = F[126,x]+F[149,x]
F[149,x] = F[145,x]*F[60,x]
F[150,x] = F[112,x]*F[90,x]
F[151,x] = F[152,x]+F[155,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = F[121,x]*F[2,x]*F[88,x]
F[154,x] = F[122,x]*F[90,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[135,x]*F[90,x]
F[157,x] = F[158,x]*F[87,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[19,x]
F[160,x] = F[161,x]+F[166,x]
F[161,x] = F[101,x]*F[162,x]
F[162,x] = F[163,x]+F[2,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[19,x]
F[165,x] = F[2,x]+F[5,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[19,x]
F[168,x] = F[169,x]+F[92,x]
F[169,x] = F[101,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[19,x]
F[172,x] = F[173,x]+F[175,x]
F[173,x] = F[118,x]+F[174,x]
F[174,x] = F[111,x]+F[145,x]
F[175,x] = F[176,x]
F[176,x] = F[101,x]*F[177,x]*F[19,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[120,x]+F[65,x]
F[179,x] = F[107,x]+F[158,x]
F[180,x] = F[177,x]*F[88,x]
F[181,x] = -F[177,x]+F[173,x]
F[182,x] = F[2,x]*F[65,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[19,x]*F[57,x]
F[185,x] = F[126,x]+F[60,x]
F[186,x] = F[187,x]+F[198,x]
F[187,x] = F[188,x]+F[196,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]+F[21,x]
F[190,x] = F[191,x]
F[191,x] = F[19,x]*F[192,x]
F[192,x] = F[193,x]+F[194,x]
F[193,x] = F[21,x]*F[4,x]
F[194,x] = F[195,x]
F[195,x] = F[173,x]*F[19,x]*F[88,x]
F[196,x] = F[197,x]
F[197,x] = F[185,x]*F[19,x]*F[88,x]
F[198,x] = -F[196,x]+F[199,x]
F[199,x] = F[200,x]+F[284,x]
F[200,x] = -F[283,x]+F[201,x]
F[201,x] = F[202,x]+F[212,x]
F[202,x] = -F[209,x]+F[203,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[114,x]*F[205,x]
F[205,x] = F[21,x]
F[206,x] = -F[211,x]+F[207,x]
F[207,x] = F[208,x]+F[209,x]
F[208,x] = F[31,x]
F[209,x] = F[210,x]
F[210,x] = F[114,x]*F[19,x]*F[57,x]
F[211,x] = F[205,x]*F[65,x]
F[212,x] = F[213,x]
F[213,x] = F[19,x]*F[214,x]
F[214,x] = F[215,x]+F[279,x]
F[215,x] = 1/F[19,x]*F[216,x]
F[216,x] = F[217,x]
F[217,x] = F[19,x]*F[218,x]
F[218,x] = F[219,x]+F[224,x]
F[219,x] = -F[194,x]+F[220,x]
F[220,x] = F[221,x]+F[222,x]
F[221,x] = F[31,x]*F[4,x]
F[222,x] = F[223,x]
F[223,x] = F[173,x]*F[19,x]*F[57,x]
F[224,x] = F[225,x]
F[225,x] = F[226,x]*F[4,x]
F[226,x] = F[227,x]
F[227,x] = F[19,x]*F[228,x]
F[228,x] = 1/F[254,x]*F[229,x]
F[229,x] = -F[236,x]+F[230,x]
F[230,x] = 1/F[19,x]*F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[278,x]+F[233,x]
F[233,x] = F[234,x]+F[252,x]
F[234,x] = F[235,x]
F[235,x] = F[19,x]*F[236,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[57,x]*F[80,x]
F[238,x] = F[101,x]*F[239,x]
F[239,x] = -F[248,x]+F[240,x]
F[240,x] = 1/F[19,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[59,x]+F[243,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[19,x]*F[245,x]
F[245,x] = F[26,x]
F[246,x] = F[2,x]*F[247,x]
F[247,x] = F[107,x]+F[65,x]
F[248,x] = F[249,x]+F[251,x]
F[249,x] = F[2,x]*F[250,x]
F[250,x] = F[239,x]+F[57,x]
F[251,x] = F[108,x]*F[57,x]
F[252,x] = F[253,x]
F[253,x] = F[19,x]*F[254,x]*F[57,x]
F[254,x] = F[255,x]+F[65,x]
F[255,x] = -F[266,x]+F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[19,x]*F[258,x]
F[258,x] = F[259,x]+F[262,x]
F[259,x] = F[260,x]+F[261,x]
F[260,x] = F[132,x]+F[67,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]+F[264,x]
F[263,x] = F[256,x]
F[264,x] = F[265,x]
F[265,x] = F[19,x]*F[256,x]*F[66,x]
F[266,x] = F[267,x]
F[267,x] = F[19,x]*F[268,x]
F[268,x] = F[269,x]+F[272,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[107,x]+F[266,x]
F[271,x] = F[266,x]
F[272,x] = F[273,x]
F[273,x] = F[19,x]*F[274,x]
F[274,x] = F[275,x]+F[277,x]
F[275,x] = F[130,x]+F[276,x]
F[276,x] = F[270,x]*F[66,x]
F[277,x] = F[271,x]*F[66,x]
F[278,x] = F[205,x]*F[254,x]
F[279,x] = F[2,x]*F[280,x]
F[280,x] = -F[228,x]+F[281,x]
F[281,x] = 1/F[19,x]*F[282,x]
F[282,x] = F[202,x]
F[283,x] = F[2,x]*F[31,x]
F[284,x] = F[183,x]
F[285,x] = F[2,x]+F[26,x]
F[286,x] = F[0,x]*F[114,x]
F[287,x] = F[288,x]+F[290,x]
F[288,x] = F[289,x]+F[38,x]
F[289,x] = F[0,x]*F[108,x]
F[290,x] = F[291,x]
F[291,x] = F[19,x]*F[292,x]
F[292,x] = F[293,x]+F[294,x]
F[293,x] = F[20,x]*F[4,x]
F[294,x] = F[295,x]
F[295,x] = F[173,x]*F[19,x]*F[296,x]
F[296,x] = F[297,x]+F[298,x]
F[297,x] = F[0,x]*F[67,x]
F[298,x] = F[299,x]
F[299,x] = F[19,x]*F[57,x]*F[67,x]
F[300,x] = F[301,x]
F[301,x] = F[19,x]*F[302,x]
F[302,x] = 1/F[19,x]*F[303,x]
F[303,x] = F[37,x]
F[304,x] = F[190,x]+F[305,x]
F[305,x] = F[306,x]
F[306,x] = F[19,x]*F[307,x]
F[307,x] = F[308,x]+F[311,x]
F[308,x] = F[309,x]+F[310,x]
F[309,x] = F[19,x]*F[2,x]*F[88,x]
F[310,x] = F[140,x]*F[90,x]
F[311,x] = F[150,x]+F[155,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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{304}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{19}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{300}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{287}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{286}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{20}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{19}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{26}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{32}\! \left(x \right)
F_{38}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{19}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{186}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right) F_{39}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{19}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{53}\! \left(x \right)
F_{51}\! \left(x \right) = F_{39}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{19}\! \left(x \right) F_{55}\! \left(x \right) F_{57}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{19}\! \left(x \right) F_{65}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{85}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{19}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{70}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right) F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{65}\! \left(x \right) x +F_{65} \left(x \right)^{2}-2 F_{65}\! \left(x \right)+2
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right) F_{67}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{78}\! \left(x \right)
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{19}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{70}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{26}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{19}\! \left(x \right) F_{80}\! \left(x \right) F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{71}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{1}\! \left(x \right)+F_{82}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{74}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{75}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{181}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{151}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{105}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{6}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{102}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{2}\! \left(x \right)
F_{101}\! \left(x \right) = F_{65}\! \left(x \right)+F_{71}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{19}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{151}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{150}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{88}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{19}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{118}\! \left(x \right)
F_{111}\! \left(x \right) = F_{107}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{115}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{2}\! \left(x \right)
F_{114}\! \left(x \right) = F_{114}\! \left(x \right) x +F_{114} \left(x \right)^{2}+x
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{110}\! \left(x \right) F_{117}\! \left(x \right) F_{19}\! \left(x \right)
F_{117}\! \left(x \right) = F_{114}\! \left(x \right)+F_{60}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{135}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{122}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{2}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)
F_{122}\! \left(x \right) = F_{108}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{19}\! \left(x \right)
F_{125}\! \left(x \right) = F_{108}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{107}\! \left(x \right) F_{66}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{133}\! \left(x \right)
F_{132}\! \left(x \right) = F_{107}\! \left(x \right)+F_{126}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{132}\! \left(x \right) F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{55}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{140}\! \left(x \right)
F_{138}\! \left(x \right) = F_{114}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{19}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{108}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{114}\! \left(x \right) F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{65}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right) F_{67}\! \left(x \right)
F_{148}\! \left(x \right) = F_{126}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{145}\! \left(x \right) F_{60}\! \left(x \right)
F_{150}\! \left(x \right) = F_{112}\! \left(x \right) F_{90}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{155}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = F_{121}\! \left(x \right) F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{154}\! \left(x \right) = F_{122}\! \left(x \right) F_{90}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{135}\! \left(x \right) F_{90}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{87}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{19}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{166}\! \left(x \right)
F_{161}\! \left(x \right) = F_{101}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{2}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{19}\! \left(x \right)
F_{165}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{19}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{92}\! \left(x \right)
F_{169}\! \left(x \right) = F_{101}\! \left(x \right) F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{19}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{175}\! \left(x \right)
F_{173}\! \left(x \right) = F_{118}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{111}\! \left(x \right)+F_{145}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{101}\! \left(x \right) F_{177}\! \left(x \right) F_{19}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{120}\! \left(x \right)+F_{65}\! \left(x \right)
F_{179}\! \left(x \right) = F_{107}\! \left(x \right)+F_{158}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right) F_{88}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{173}\! \left(x \right)
F_{182}\! \left(x \right) = F_{2}\! \left(x \right) F_{65}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{185}\! \left(x \right) = F_{126}\! \left(x \right)+F_{60}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{198}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{196}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{21}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{19}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{194}\! \left(x \right)
F_{193}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{88}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{88}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{284}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{212}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{114}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{21}\! \left(x \right)
F_{206}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{209}\! \left(x \right)
F_{208}\! \left(x \right) = F_{31}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{114}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{211}\! \left(x \right) = F_{205}\! \left(x \right) F_{65}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{19}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{279}\! \left(x \right)
F_{215}\! \left(x \right) = \frac{F_{216}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{19}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{224}\! \left(x \right)
F_{219}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{222}\! \left(x \right)
F_{221}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{19}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{254}\! \left(x \right)}
F_{229}\! \left(x \right) = -F_{236}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{252}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{19}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{57}\! \left(x \right) F_{80}\! \left(x \right)
F_{238}\! \left(x \right) = F_{101}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{248}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{243}\! \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_{19}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{26}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{107}\! \left(x \right)+F_{65}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{2}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{239}\! \left(x \right)+F_{57}\! \left(x \right)
F_{251}\! \left(x \right) = F_{108}\! \left(x \right) F_{57}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{19}\! \left(x \right) F_{254}\! \left(x \right) F_{57}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{65}\! \left(x \right)
F_{255}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{19}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{262}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{261}\! \left(x \right)
F_{260}\! \left(x \right) = F_{132}\! \left(x \right)+F_{67}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{264}\! \left(x \right)
F_{263}\! \left(x \right) = F_{256}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right) F_{66}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{19}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{107}\! \left(x \right)+F_{266}\! \left(x \right)
F_{271}\! \left(x \right) = F_{266}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{19}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{277}\! \left(x \right)
F_{275}\! \left(x \right) = F_{130}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{270}\! \left(x \right) F_{66}\! \left(x \right)
F_{277}\! \left(x \right) = F_{271}\! \left(x \right) F_{66}\! \left(x \right)
F_{278}\! \left(x \right) = F_{205}\! \left(x \right) F_{254}\! \left(x \right)
F_{279}\! \left(x \right) = F_{2}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{228}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{202}\! \left(x \right)
F_{283}\! \left(x \right) = F_{2}\! \left(x \right) F_{31}\! \left(x \right)
F_{284}\! \left(x \right) = F_{183}\! \left(x \right)
F_{285}\! \left(x \right) = F_{2}\! \left(x \right)+F_{26}\! \left(x \right)
F_{286}\! \left(x \right) = F_{0}\! \left(x \right) F_{114}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{290}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{38}\! \left(x \right)
F_{289}\! \left(x \right) = F_{0}\! \left(x \right) F_{108}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{19}\! \left(x \right) F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{294}\! \left(x \right)
F_{293}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{298}\! \left(x \right)
F_{297}\! \left(x \right) = F_{0}\! \left(x \right) F_{67}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{19}\! \left(x \right) F_{57}\! \left(x \right) F_{67}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{19}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{37}\! \left(x \right)
F_{304}\! \left(x \right) = F_{190}\! \left(x \right)+F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{19}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{311}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{310}\! \left(x \right)
F_{309}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{310}\! \left(x \right) = F_{140}\! \left(x \right) F_{90}\! \left(x \right)
F_{311}\! \left(x \right) = F_{150}\! \left(x \right)+F_{155}\! \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_19(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_19(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_304(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_19(x))
Eq(F_13(x), F_14(x) + F_300(x))
Eq(F_14(x), F_15(x) + F_287(x))
Eq(F_15(x), F_16(x) + F_286(x))
Eq(F_16(x), F_17(x) + F_20(x))
Eq(F_17(x), F_18(x)/F_19(x))
Eq(F_18(x), F_2(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), -F_0(x) + F_17(x))
Eq(F_22(x), F_23(x) - F_285(x))
Eq(F_23(x), F_24(x) - F_27(x))
Eq(F_24(x), F_25(x)/F_19(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), -F_2(x) + F_21(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_19(x)*F_29(x))
Eq(F_29(x), F_30(x)/F_19(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_34(x))
Eq(F_32(x), F_33(x)/F_19(x))
Eq(F_33(x), F_26(x))
Eq(F_34(x), F_35(x) - F_39(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_0(x)*F_17(x))
Eq(F_37(x), F_32(x) - F_38(x))
Eq(F_38(x), F_17(x)*F_2(x))
Eq(F_39(x), F_17(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_19(x)*F_42(x))
Eq(F_42(x), F_186(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_0(x)*F_39(x))
Eq(F_45(x), -F_183(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_19(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_19(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_51(x) + F_53(x))
Eq(F_51(x), F_39(x)*F_52(x))
Eq(F_52(x), F_2(x) + F_6(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_19(x)*F_55(x)*F_57(x))
Eq(F_55(x), F_56(x)/F_19(x))
Eq(F_56(x), F_6(x))
Eq(F_57(x), F_58(x)/(F_19(x)*F_65(x)))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) + F_85(x))
Eq(F_60(x), F_61(x) - F_78(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_19(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_70(x))
Eq(F_64(x), F_65(x)*F_66(x))
Eq(F_65(x), (x - 2)*F_65(x) + F_65(x)**2 + 2)
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_60(x) + F_65(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_19(x)*F_66(x)*F_67(x))
Eq(F_70(x), F_71(x) + F_78(x))
Eq(F_71(x), F_2(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_19(x)*F_74(x))
Eq(F_74(x), F_70(x) + F_75(x))
Eq(F_75(x), -F_61(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_19(x))
Eq(F_77(x), F_26(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_19(x)*F_80(x)*F_82(x))
Eq(F_80(x), F_81(x)/F_19(x))
Eq(F_81(x), F_71(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_19(x)*F_84(x))
Eq(F_84(x), F_1(x) + F_82(x))
Eq(F_85(x), -F_182(x) + F_86(x))
Eq(F_86(x), F_74(x) - F_87(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_75(x) + F_89(x))
Eq(F_89(x), F_67(x) + F_70(x))
Eq(F_90(x), F_91(x)/F_181(x))
Eq(F_91(x), -F_180(x) + F_92(x))
Eq(F_92(x), F_151(x) + F_93(x))
Eq(F_93(x), F_105(x) + F_94(x))
Eq(F_94(x), F_95(x)/F_19(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_97(x) - F_99(x))
Eq(F_97(x), F_98(x)/F_19(x))
Eq(F_98(x), F_6(x))
Eq(F_99(x), F_100(x) + F_102(x))
Eq(F_100(x), F_101(x)*F_2(x))
Eq(F_101(x), F_65(x) + F_71(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_19(x))
Eq(F_104(x), F_105(x) + F_151(x))
Eq(F_105(x), F_106(x) + F_150(x))
Eq(F_106(x), F_107(x)*F_88(x))
Eq(F_107(x), F_108(x) + F_2(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_19(x))
Eq(F_110(x), F_111(x) + F_118(x))
Eq(F_111(x), F_107(x) + F_112(x))
Eq(F_112(x), F_113(x) + F_115(x))
Eq(F_113(x), F_114(x)*F_2(x))
Eq(F_114(x), (x - 3)*(F_114(x) + 1) + (F_114(x) + 1)**2 + F_114(x) + 2)
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_110(x)*F_117(x)*F_19(x))
Eq(F_117(x), F_114(x) + F_60(x))
Eq(F_118(x), F_119(x) + F_135(x))
Eq(F_119(x), F_120(x) + F_122(x))
Eq(F_120(x), F_121(x)*F_2(x))
Eq(F_121(x), F_1(x) + F_19(x))
Eq(F_122(x), F_108(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_19(x))
Eq(F_125(x), F_108(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_19(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_107(x)*F_66(x))
Eq(F_130(x), F_0(x)*F_131(x))
Eq(F_131(x), F_132(x) + F_133(x))
Eq(F_132(x), F_107(x) + F_126(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_132(x)*F_19(x)*F_66(x))
Eq(F_135(x), -F_111(x) + F_136(x))
Eq(F_136(x), -F_137(x) + F_55(x))
Eq(F_137(x), F_138(x) + F_140(x))
Eq(F_138(x), F_114(x) + F_139(x))
Eq(F_139(x), F_19(x)*F_2(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_19(x))
Eq(F_142(x), F_143(x) + F_148(x))
Eq(F_143(x), F_108(x) + F_144(x))
Eq(F_144(x), F_114(x)*F_145(x))
Eq(F_145(x), F_146(x) + F_65(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_145(x)*F_19(x)*F_67(x))
Eq(F_148(x), F_126(x) + F_149(x))
Eq(F_149(x), F_145(x)*F_60(x))
Eq(F_150(x), F_112(x)*F_90(x))
Eq(F_151(x), F_152(x) + F_155(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), F_121(x)*F_2(x)*F_88(x))
Eq(F_154(x), F_122(x)*F_90(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_135(x)*F_90(x))
Eq(F_157(x), F_158(x)*F_87(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_19(x))
Eq(F_160(x), F_161(x) + F_166(x))
Eq(F_161(x), F_101(x)*F_162(x))
Eq(F_162(x), F_163(x) + F_2(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_19(x))
Eq(F_165(x), F_2(x) + F_5(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_19(x))
Eq(F_168(x), F_169(x) + F_92(x))
Eq(F_169(x), F_101(x)*F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_19(x))
Eq(F_172(x), F_173(x) + F_175(x))
Eq(F_173(x), F_118(x) + F_174(x))
Eq(F_174(x), F_111(x) + F_145(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_101(x)*F_177(x)*F_19(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_120(x) + F_65(x))
Eq(F_179(x), F_107(x) + F_158(x))
Eq(F_180(x), F_177(x)*F_88(x))
Eq(F_181(x), F_173(x) - F_177(x))
Eq(F_182(x), F_2(x)*F_65(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_19(x)*F_57(x))
Eq(F_185(x), F_126(x) + F_60(x))
Eq(F_186(x), F_187(x) + F_198(x))
Eq(F_187(x), F_188(x) + F_196(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x) + F_21(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_19(x)*F_192(x))
Eq(F_192(x), F_193(x) + F_194(x))
Eq(F_193(x), F_21(x)*F_4(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_173(x)*F_19(x)*F_88(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_185(x)*F_19(x)*F_88(x))
Eq(F_198(x), -F_196(x) + F_199(x))
Eq(F_199(x), F_200(x) + F_284(x))
Eq(F_200(x), F_201(x) - F_283(x))
Eq(F_201(x), F_202(x) + F_212(x))
Eq(F_202(x), F_203(x) - F_209(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_114(x)*F_205(x))
Eq(F_205(x), F_21(x))
Eq(F_206(x), F_207(x) - F_211(x))
Eq(F_207(x), F_208(x) + F_209(x))
Eq(F_208(x), F_31(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_114(x)*F_19(x)*F_57(x))
Eq(F_211(x), F_205(x)*F_65(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_19(x)*F_214(x))
Eq(F_214(x), F_215(x) + F_279(x))
Eq(F_215(x), F_216(x)/F_19(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_19(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_224(x))
Eq(F_219(x), -F_194(x) + F_220(x))
Eq(F_220(x), F_221(x) + F_222(x))
Eq(F_221(x), F_31(x)*F_4(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_173(x)*F_19(x)*F_57(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_226(x)*F_4(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_19(x)*F_228(x))
Eq(F_228(x), F_229(x)/F_254(x))
Eq(F_229(x), F_230(x) - F_236(x))
Eq(F_230(x), F_231(x)/F_19(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x) - F_278(x))
Eq(F_233(x), F_234(x) + F_252(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_19(x)*F_236(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_57(x)*F_80(x))
Eq(F_238(x), F_101(x)*F_239(x))
Eq(F_239(x), F_240(x) - F_248(x))
Eq(F_240(x), F_241(x)/F_19(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_59(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_19(x))
Eq(F_245(x), F_26(x))
Eq(F_246(x), F_2(x)*F_247(x))
Eq(F_247(x), F_107(x) + F_65(x))
Eq(F_248(x), F_249(x) + F_251(x))
Eq(F_249(x), F_2(x)*F_250(x))
Eq(F_250(x), F_239(x) + F_57(x))
Eq(F_251(x), F_108(x)*F_57(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_19(x)*F_254(x)*F_57(x))
Eq(F_254(x), F_255(x) + F_65(x))
Eq(F_255(x), F_256(x) - F_266(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_19(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_262(x))
Eq(F_259(x), F_260(x) + F_261(x))
Eq(F_260(x), F_132(x) + F_67(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x) + F_264(x))
Eq(F_263(x), F_256(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_19(x)*F_256(x)*F_66(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_19(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_272(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_107(x) + F_266(x))
Eq(F_271(x), F_266(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_19(x)*F_274(x))
Eq(F_274(x), F_275(x) + F_277(x))
Eq(F_275(x), F_130(x) + F_276(x))
Eq(F_276(x), F_270(x)*F_66(x))
Eq(F_277(x), F_271(x)*F_66(x))
Eq(F_278(x), F_205(x)*F_254(x))
Eq(F_279(x), F_2(x)*F_280(x))
Eq(F_280(x), -F_228(x) + F_281(x))
Eq(F_281(x), F_282(x)/F_19(x))
Eq(F_282(x), F_202(x))
Eq(F_283(x), F_2(x)*F_31(x))
Eq(F_284(x), F_183(x))
Eq(F_285(x), F_2(x) + F_26(x))
Eq(F_286(x), F_0(x)*F_114(x))
Eq(F_287(x), F_288(x) + F_290(x))
Eq(F_288(x), F_289(x) + F_38(x))
Eq(F_289(x), F_0(x)*F_108(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_19(x)*F_292(x))
Eq(F_292(x), F_293(x) + F_294(x))
Eq(F_293(x), F_20(x)*F_4(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_173(x)*F_19(x)*F_296(x))
Eq(F_296(x), F_297(x) + F_298(x))
Eq(F_297(x), F_0(x)*F_67(x))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_19(x)*F_57(x)*F_67(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_19(x)*F_302(x))
Eq(F_302(x), F_303(x)/F_19(x))
Eq(F_303(x), F_37(x))
Eq(F_304(x), F_190(x) + F_305(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_19(x)*F_307(x))
Eq(F_307(x), F_308(x) + F_311(x))
Eq(F_308(x), F_309(x) + F_310(x))
Eq(F_309(x), F_19(x)*F_2(x)*F_88(x))
Eq(F_310(x), F_140(x)*F_90(x))
Eq(F_311(x), F_150(x) + F_155(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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", 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[6, 0], [6, 0], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 3], [0, 3], [0, 0], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 2], [2, 2], [2, 2], [2, 2], [4, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 2], [2, 2], [2, 2], [2, 2], [4, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 0], [5, 0], [5, 2], [5, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 0], [6, 0], [6, 2], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 2], [5, 0], [5, 2], [5, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [5, 2], [6, 0], [6, 2], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [6, 0], [6, 0], [6, 2], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[5, 0], [6, 2], [6, 0], [6, 2], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[6, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[6, 0], [6, 0], [6, 0], [6, 2], [6, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[6, 0], [6, 2], [6, 0], [6, 2], [6, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[3, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "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": "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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25664/
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[19,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[19,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[304,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[19,x]
F[13,x] = F[14,x]+F[300,x]
F[14,x] = F[15,x]+F[287,x]
F[15,x] = F[16,x]+F[286,x]
F[16,x] = F[17,x]+F[20,x]
F[17,x] = 1/F[19,x]*F[18,x]
F[18,x] = F[2,x]
F[19,x] = x
F[20,x] = F[21,x]+F[22,x]
F[21,x] = -F[0,x]+F[17,x]
F[22,x] = -F[285,x]+F[23,x]
F[23,x] = -F[27,x]+F[24,x]
F[24,x] = 1/F[19,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[2,x]+F[21,x]
F[27,x] = F[28,x]
F[28,x] = F[19,x]*F[29,x]
F[29,x] = 1/F[19,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[34,x]+F[32,x]
F[32,x] = 1/F[19,x]*F[33,x]
F[33,x] = F[26,x]
F[34,x] = -F[39,x]+F[35,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[0,x]*F[17,x]
F[37,x] = -F[38,x]+F[32,x]
F[38,x] = F[17,x]*F[2,x]
F[39,x] = F[17,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[19,x]*F[42,x]
F[42,x] = F[186,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[0,x]*F[39,x]
F[45,x] = -F[183,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[19,x]*F[48,x]
F[48,x] = 1/F[19,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[51,x]+F[53,x]
F[51,x] = F[39,x]*F[52,x]
F[52,x] = F[2,x]+F[6,x]
F[53,x] = F[54,x]
F[54,x] = F[19,x]*F[55,x]*F[57,x]
F[55,x] = 1/F[19,x]*F[56,x]
F[56,x] = F[6,x]
F[57,x] = 1/F[19,x]/F[65,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[60,x]+F[85,x]
F[60,x] = -F[78,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[19,x]*F[63,x]
F[63,x] = F[64,x]+F[70,x]
F[64,x] = F[65,x]*F[66,x]
F[65,x] = 2+F[65,x]^2+(-2+x)*F[65,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[60,x]+F[65,x]
F[68,x] = F[69,x]
F[69,x] = F[19,x]*F[66,x]*F[67,x]
F[70,x] = F[71,x]+F[78,x]
F[71,x] = F[2,x]+F[72,x]
F[72,x] = F[73,x]
F[73,x] = F[19,x]*F[74,x]
F[74,x] = F[70,x]+F[75,x]
F[75,x] = -F[61,x]+F[76,x]
F[76,x] = 1/F[19,x]*F[77,x]
F[77,x] = F[26,x]
F[78,x] = F[79,x]
F[79,x] = F[19,x]*F[80,x]*F[82,x]
F[80,x] = 1/F[19,x]*F[81,x]
F[81,x] = F[71,x]
F[82,x] = F[83,x]
F[83,x] = F[19,x]*F[84,x]
F[84,x] = F[1,x]+F[82,x]
F[85,x] = -F[182,x]+F[86,x]
F[86,x] = -F[87,x]+F[74,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = F[75,x]+F[89,x]
F[89,x] = F[67,x]+F[70,x]
F[90,x] = 1/F[181,x]*F[91,x]
F[91,x] = -F[180,x]+F[92,x]
F[92,x] = F[151,x]+F[93,x]
F[93,x] = F[105,x]+F[94,x]
F[94,x] = 1/F[19,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[99,x]+F[97,x]
F[97,x] = 1/F[19,x]*F[98,x]
F[98,x] = F[6,x]
F[99,x] = F[100,x]+F[102,x]
F[100,x] = F[101,x]*F[2,x]
F[101,x] = F[65,x]+F[71,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[19,x]
F[104,x] = F[105,x]+F[151,x]
F[105,x] = F[106,x]+F[150,x]
F[106,x] = F[107,x]*F[88,x]
F[107,x] = F[108,x]+F[2,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[19,x]
F[110,x] = F[111,x]+F[118,x]
F[111,x] = F[107,x]+F[112,x]
F[112,x] = F[113,x]+F[115,x]
F[113,x] = F[114,x]*F[2,x]
F[114,x] = (1+F[114,x])*x+F[114,x]^2
F[115,x] = F[116,x]
F[116,x] = F[110,x]*F[117,x]*F[19,x]
F[117,x] = F[114,x]+F[60,x]
F[118,x] = F[119,x]+F[135,x]
F[119,x] = F[120,x]+F[122,x]
F[120,x] = F[121,x]*F[2,x]
F[121,x] = F[1,x]+F[19,x]
F[122,x] = F[108,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[19,x]
F[125,x] = F[108,x]+F[126,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[19,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[107,x]*F[66,x]
F[130,x] = F[0,x]*F[131,x]
F[131,x] = F[132,x]+F[133,x]
F[132,x] = F[107,x]+F[126,x]
F[133,x] = F[134,x]
F[134,x] = F[132,x]*F[19,x]*F[66,x]
F[135,x] = -F[111,x]+F[136,x]
F[136,x] = -F[137,x]+F[55,x]
F[137,x] = F[138,x]+F[140,x]
F[138,x] = F[114,x]+F[139,x]
F[139,x] = F[19,x]*F[2,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[19,x]
F[142,x] = F[143,x]+F[148,x]
F[143,x] = F[108,x]+F[144,x]
F[144,x] = F[114,x]*F[145,x]
F[145,x] = F[146,x]+F[65,x]
F[146,x] = F[147,x]
F[147,x] = F[145,x]*F[19,x]*F[67,x]
F[148,x] = F[126,x]+F[149,x]
F[149,x] = F[145,x]*F[60,x]
F[150,x] = F[112,x]*F[90,x]
F[151,x] = F[152,x]+F[155,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = F[121,x]*F[2,x]*F[88,x]
F[154,x] = F[122,x]*F[90,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[135,x]*F[90,x]
F[157,x] = F[158,x]*F[87,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[19,x]
F[160,x] = F[161,x]+F[166,x]
F[161,x] = F[101,x]*F[162,x]
F[162,x] = F[163,x]+F[2,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[19,x]
F[165,x] = F[2,x]+F[5,x]
F[166,x] = F[167,x]
F[167,x] = F[168,x]*F[19,x]
F[168,x] = F[169,x]+F[92,x]
F[169,x] = F[101,x]*F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[19,x]
F[172,x] = F[173,x]+F[175,x]
F[173,x] = F[118,x]+F[174,x]
F[174,x] = F[111,x]+F[145,x]
F[175,x] = F[176,x]
F[176,x] = F[101,x]*F[177,x]*F[19,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[120,x]+F[65,x]
F[179,x] = F[107,x]+F[158,x]
F[180,x] = F[177,x]*F[88,x]
F[181,x] = -F[177,x]+F[173,x]
F[182,x] = F[2,x]*F[65,x]
F[183,x] = F[184,x]
F[184,x] = F[185,x]*F[19,x]*F[57,x]
F[185,x] = F[126,x]+F[60,x]
F[186,x] = F[187,x]+F[198,x]
F[187,x] = F[188,x]+F[196,x]
F[188,x] = F[189,x]
F[189,x] = F[190,x]+F[21,x]
F[190,x] = F[191,x]
F[191,x] = F[19,x]*F[192,x]
F[192,x] = F[193,x]+F[194,x]
F[193,x] = F[21,x]*F[4,x]
F[194,x] = F[195,x]
F[195,x] = F[173,x]*F[19,x]*F[88,x]
F[196,x] = F[197,x]
F[197,x] = F[185,x]*F[19,x]*F[88,x]
F[198,x] = -F[196,x]+F[199,x]
F[199,x] = F[200,x]+F[284,x]
F[200,x] = -F[283,x]+F[201,x]
F[201,x] = F[202,x]+F[212,x]
F[202,x] = -F[209,x]+F[203,x]
F[203,x] = F[204,x]+F[206,x]
F[204,x] = F[114,x]*F[205,x]
F[205,x] = F[21,x]
F[206,x] = -F[211,x]+F[207,x]
F[207,x] = F[208,x]+F[209,x]
F[208,x] = F[31,x]
F[209,x] = F[210,x]
F[210,x] = F[114,x]*F[19,x]*F[57,x]
F[211,x] = F[205,x]*F[65,x]
F[212,x] = F[213,x]
F[213,x] = F[19,x]*F[214,x]
F[214,x] = F[215,x]+F[279,x]
F[215,x] = 1/F[19,x]*F[216,x]
F[216,x] = F[217,x]
F[217,x] = F[19,x]*F[218,x]
F[218,x] = F[219,x]+F[224,x]
F[219,x] = -F[194,x]+F[220,x]
F[220,x] = F[221,x]+F[222,x]
F[221,x] = F[31,x]*F[4,x]
F[222,x] = F[223,x]
F[223,x] = F[173,x]*F[19,x]*F[57,x]
F[224,x] = F[225,x]
F[225,x] = F[226,x]*F[4,x]
F[226,x] = F[227,x]
F[227,x] = F[19,x]*F[228,x]
F[228,x] = 1/F[254,x]*F[229,x]
F[229,x] = -F[236,x]+F[230,x]
F[230,x] = 1/F[19,x]*F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[278,x]+F[233,x]
F[233,x] = F[234,x]+F[252,x]
F[234,x] = F[235,x]
F[235,x] = F[19,x]*F[236,x]
F[236,x] = F[237,x]+F[238,x]
F[237,x] = F[57,x]*F[80,x]
F[238,x] = F[101,x]*F[239,x]
F[239,x] = -F[248,x]+F[240,x]
F[240,x] = 1/F[19,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[59,x]+F[243,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[19,x]*F[245,x]
F[245,x] = F[26,x]
F[246,x] = F[2,x]*F[247,x]
F[247,x] = F[107,x]+F[65,x]
F[248,x] = F[249,x]+F[251,x]
F[249,x] = F[2,x]*F[250,x]
F[250,x] = F[239,x]+F[57,x]
F[251,x] = F[108,x]*F[57,x]
F[252,x] = F[253,x]
F[253,x] = F[19,x]*F[254,x]*F[57,x]
F[254,x] = F[255,x]+F[65,x]
F[255,x] = -F[266,x]+F[256,x]
F[256,x] = F[257,x]
F[257,x] = F[19,x]*F[258,x]
F[258,x] = F[259,x]+F[262,x]
F[259,x] = F[260,x]+F[261,x]
F[260,x] = F[132,x]+F[67,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]+F[264,x]
F[263,x] = F[256,x]
F[264,x] = F[265,x]
F[265,x] = F[19,x]*F[256,x]*F[66,x]
F[266,x] = F[267,x]
F[267,x] = F[19,x]*F[268,x]
F[268,x] = F[269,x]+F[272,x]
F[269,x] = F[270,x]+F[271,x]
F[270,x] = F[107,x]+F[266,x]
F[271,x] = F[266,x]
F[272,x] = F[273,x]
F[273,x] = F[19,x]*F[274,x]
F[274,x] = F[275,x]+F[277,x]
F[275,x] = F[130,x]+F[276,x]
F[276,x] = F[270,x]*F[66,x]
F[277,x] = F[271,x]*F[66,x]
F[278,x] = F[205,x]*F[254,x]
F[279,x] = F[2,x]*F[280,x]
F[280,x] = -F[228,x]+F[281,x]
F[281,x] = 1/F[19,x]*F[282,x]
F[282,x] = F[202,x]
F[283,x] = F[2,x]*F[31,x]
F[284,x] = F[183,x]
F[285,x] = F[2,x]+F[26,x]
F[286,x] = F[0,x]*F[114,x]
F[287,x] = F[288,x]+F[290,x]
F[288,x] = F[289,x]+F[38,x]
F[289,x] = F[0,x]*F[108,x]
F[290,x] = F[291,x]
F[291,x] = F[19,x]*F[292,x]
F[292,x] = F[293,x]+F[294,x]
F[293,x] = F[20,x]*F[4,x]
F[294,x] = F[295,x]
F[295,x] = F[173,x]*F[19,x]*F[296,x]
F[296,x] = F[297,x]+F[298,x]
F[297,x] = F[0,x]*F[67,x]
F[298,x] = F[299,x]
F[299,x] = F[19,x]*F[57,x]*F[67,x]
F[300,x] = F[301,x]
F[301,x] = F[19,x]*F[302,x]
F[302,x] = 1/F[19,x]*F[303,x]
F[303,x] = F[37,x]
F[304,x] = F[190,x]+F[305,x]
F[305,x] = F[306,x]
F[306,x] = F[19,x]*F[307,x]
F[307,x] = F[308,x]+F[311,x]
F[308,x] = F[309,x]+F[310,x]
F[309,x] = F[19,x]*F[2,x]*F[88,x]
F[310,x] = F[140,x]*F[90,x]
F[311,x] = F[150,x]+F[155,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_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{304}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{19}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{300}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{287}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{286}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{20}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = x
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{21}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{19}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{26}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{32}\! \left(x \right)
F_{38}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{19}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{186}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right) F_{39}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{183}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{19}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{53}\! \left(x \right)
F_{51}\! \left(x \right) = F_{39}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{19}\! \left(x \right) F_{55}\! \left(x \right) F_{57}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{56}\! \left(x \right) = F_{6}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{19}\! \left(x \right) F_{65}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{85}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{19}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{70}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right) F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{65}\! \left(x \right) x +F_{65} \left(x \right)^{2}-2 F_{65}\! \left(x \right)+2
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{60}\! \left(x \right)+F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{19}\! \left(x \right) F_{66}\! \left(x \right) F_{67}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{78}\! \left(x \right)
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{19}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{70}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{26}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{19}\! \left(x \right) F_{80}\! \left(x \right) F_{82}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{71}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{1}\! \left(x \right)+F_{82}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{74}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{75}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{67}\! \left(x \right)+F_{70}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{181}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{151}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{105}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{6}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{102}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{2}\! \left(x \right)
F_{101}\! \left(x \right) = F_{65}\! \left(x \right)+F_{71}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{19}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{151}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{150}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{88}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{19}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{118}\! \left(x \right)
F_{111}\! \left(x \right) = F_{107}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{115}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{2}\! \left(x \right)
F_{114}\! \left(x \right) = F_{114}\! \left(x \right) x +F_{114} \left(x \right)^{2}+x
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{110}\! \left(x \right) F_{117}\! \left(x \right) F_{19}\! \left(x \right)
F_{117}\! \left(x \right) = F_{114}\! \left(x \right)+F_{60}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{135}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{122}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{2}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)
F_{122}\! \left(x \right) = F_{108}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{19}\! \left(x \right)
F_{125}\! \left(x \right) = F_{108}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{19}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{107}\! \left(x \right) F_{66}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{133}\! \left(x \right)
F_{132}\! \left(x \right) = F_{107}\! \left(x \right)+F_{126}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{132}\! \left(x \right) F_{19}\! \left(x \right) F_{66}\! \left(x \right)
F_{135}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{55}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{140}\! \left(x \right)
F_{138}\! \left(x \right) = F_{114}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{19}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{148}\! \left(x \right)
F_{143}\! \left(x \right) = F_{108}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{114}\! \left(x \right) F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)+F_{65}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right) F_{67}\! \left(x \right)
F_{148}\! \left(x \right) = F_{126}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{145}\! \left(x \right) F_{60}\! \left(x \right)
F_{150}\! \left(x \right) = F_{112}\! \left(x \right) F_{90}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{155}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = F_{121}\! \left(x \right) F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{154}\! \left(x \right) = F_{122}\! \left(x \right) F_{90}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{135}\! \left(x \right) F_{90}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{87}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{19}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{166}\! \left(x \right)
F_{161}\! \left(x \right) = F_{101}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{2}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{19}\! \left(x \right)
F_{165}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{19}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{92}\! \left(x \right)
F_{169}\! \left(x \right) = F_{101}\! \left(x \right) F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{19}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{175}\! \left(x \right)
F_{173}\! \left(x \right) = F_{118}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{111}\! \left(x \right)+F_{145}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{101}\! \left(x \right) F_{177}\! \left(x \right) F_{19}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{120}\! \left(x \right)+F_{65}\! \left(x \right)
F_{179}\! \left(x \right) = F_{107}\! \left(x \right)+F_{158}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right) F_{88}\! \left(x \right)
F_{181}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{173}\! \left(x \right)
F_{182}\! \left(x \right) = F_{2}\! \left(x \right) F_{65}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{185}\! \left(x \right) = F_{126}\! \left(x \right)+F_{60}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{198}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{196}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{21}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{19}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{194}\! \left(x \right)
F_{193}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{88}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right) F_{88}\! \left(x \right)
F_{198}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{284}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{212}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{206}\! \left(x \right)
F_{204}\! \left(x \right) = F_{114}\! \left(x \right) F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{21}\! \left(x \right)
F_{206}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{209}\! \left(x \right)
F_{208}\! \left(x \right) = F_{31}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{114}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{211}\! \left(x \right) = F_{205}\! \left(x \right) F_{65}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{19}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{279}\! \left(x \right)
F_{215}\! \left(x \right) = \frac{F_{216}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{19}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)+F_{224}\! \left(x \right)
F_{219}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{222}\! \left(x \right)
F_{221}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{57}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{19}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{254}\! \left(x \right)}
F_{229}\! \left(x \right) = -F_{236}\! \left(x \right)+F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{252}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{19}\! \left(x \right) F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{238}\! \left(x \right)
F_{237}\! \left(x \right) = F_{57}\! \left(x \right) F_{80}\! \left(x \right)
F_{238}\! \left(x \right) = F_{101}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{248}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{243}\! \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_{19}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{26}\! \left(x \right)
F_{246}\! \left(x \right) = F_{2}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{107}\! \left(x \right)+F_{65}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{2}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{239}\! \left(x \right)+F_{57}\! \left(x \right)
F_{251}\! \left(x \right) = F_{108}\! \left(x \right) F_{57}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{19}\! \left(x \right) F_{254}\! \left(x \right) F_{57}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{65}\! \left(x \right)
F_{255}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{19}\! \left(x \right) F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{262}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{261}\! \left(x \right)
F_{260}\! \left(x \right) = F_{132}\! \left(x \right)+F_{67}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{264}\! \left(x \right)
F_{263}\! \left(x \right) = F_{256}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{19}\! \left(x \right) F_{256}\! \left(x \right) F_{66}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{19}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{272}\! \left(x \right)
F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)
F_{270}\! \left(x \right) = F_{107}\! \left(x \right)+F_{266}\! \left(x \right)
F_{271}\! \left(x \right) = F_{266}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{19}\! \left(x \right) F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{277}\! \left(x \right)
F_{275}\! \left(x \right) = F_{130}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{270}\! \left(x \right) F_{66}\! \left(x \right)
F_{277}\! \left(x \right) = F_{271}\! \left(x \right) F_{66}\! \left(x \right)
F_{278}\! \left(x \right) = F_{205}\! \left(x \right) F_{254}\! \left(x \right)
F_{279}\! \left(x \right) = F_{2}\! \left(x \right) F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{228}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{202}\! \left(x \right)
F_{283}\! \left(x \right) = F_{2}\! \left(x \right) F_{31}\! \left(x \right)
F_{284}\! \left(x \right) = F_{183}\! \left(x \right)
F_{285}\! \left(x \right) = F_{2}\! \left(x \right)+F_{26}\! \left(x \right)
F_{286}\! \left(x \right) = F_{0}\! \left(x \right) F_{114}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{290}\! \left(x \right)
F_{288}\! \left(x \right) = F_{289}\! \left(x \right)+F_{38}\! \left(x \right)
F_{289}\! \left(x \right) = F_{0}\! \left(x \right) F_{108}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{19}\! \left(x \right) F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{294}\! \left(x \right)
F_{293}\! \left(x \right) = F_{20}\! \left(x \right) F_{4}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{173}\! \left(x \right) F_{19}\! \left(x \right) F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{298}\! \left(x \right)
F_{297}\! \left(x \right) = F_{0}\! \left(x \right) F_{67}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{19}\! \left(x \right) F_{57}\! \left(x \right) F_{67}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{19}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = \frac{F_{303}\! \left(x \right)}{F_{19}\! \left(x \right)}
F_{303}\! \left(x \right) = F_{37}\! \left(x \right)
F_{304}\! \left(x \right) = F_{190}\! \left(x \right)+F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{19}\! \left(x \right) F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{311}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{310}\! \left(x \right)
F_{309}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{310}\! \left(x \right) = F_{140}\! \left(x \right) F_{90}\! \left(x \right)
F_{311}\! \left(x \right) = F_{150}\! \left(x \right)+F_{155}\! \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_19(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_19(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_304(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_19(x))
Eq(F_13(x), F_14(x) + F_300(x))
Eq(F_14(x), F_15(x) + F_287(x))
Eq(F_15(x), F_16(x) + F_286(x))
Eq(F_16(x), F_17(x) + F_20(x))
Eq(F_17(x), F_18(x)/F_19(x))
Eq(F_18(x), F_2(x))
Eq(F_19(x), x)
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), -F_0(x) + F_17(x))
Eq(F_22(x), F_23(x) - F_285(x))
Eq(F_23(x), F_24(x) - F_27(x))
Eq(F_24(x), F_25(x)/F_19(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), -F_2(x) + F_21(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_19(x)*F_29(x))
Eq(F_29(x), F_30(x)/F_19(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_34(x))
Eq(F_32(x), F_33(x)/F_19(x))
Eq(F_33(x), F_26(x))
Eq(F_34(x), F_35(x) - F_39(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_0(x)*F_17(x))
Eq(F_37(x), F_32(x) - F_38(x))
Eq(F_38(x), F_17(x)*F_2(x))
Eq(F_39(x), F_17(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_19(x)*F_42(x))
Eq(F_42(x), F_186(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_0(x)*F_39(x))
Eq(F_45(x), -F_183(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_19(x)*F_48(x))
Eq(F_48(x), F_49(x)/F_19(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_51(x) + F_53(x))
Eq(F_51(x), F_39(x)*F_52(x))
Eq(F_52(x), F_2(x) + F_6(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_19(x)*F_55(x)*F_57(x))
Eq(F_55(x), F_56(x)/F_19(x))
Eq(F_56(x), F_6(x))
Eq(F_57(x), F_58(x)/(F_19(x)*F_65(x)))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) + F_85(x))
Eq(F_60(x), F_61(x) - F_78(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_19(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_70(x))
Eq(F_64(x), F_65(x)*F_66(x))
Eq(F_65(x), (x - 2)*F_65(x) + F_65(x)**2 + 2)
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_60(x) + F_65(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_19(x)*F_66(x)*F_67(x))
Eq(F_70(x), F_71(x) + F_78(x))
Eq(F_71(x), F_2(x) + F_72(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_19(x)*F_74(x))
Eq(F_74(x), F_70(x) + F_75(x))
Eq(F_75(x), -F_61(x) + F_76(x))
Eq(F_76(x), F_77(x)/F_19(x))
Eq(F_77(x), F_26(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_19(x)*F_80(x)*F_82(x))
Eq(F_80(x), F_81(x)/F_19(x))
Eq(F_81(x), F_71(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_19(x)*F_84(x))
Eq(F_84(x), F_1(x) + F_82(x))
Eq(F_85(x), -F_182(x) + F_86(x))
Eq(F_86(x), F_74(x) - F_87(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_75(x) + F_89(x))
Eq(F_89(x), F_67(x) + F_70(x))
Eq(F_90(x), F_91(x)/F_181(x))
Eq(F_91(x), -F_180(x) + F_92(x))
Eq(F_92(x), F_151(x) + F_93(x))
Eq(F_93(x), F_105(x) + F_94(x))
Eq(F_94(x), F_95(x)/F_19(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_97(x) - F_99(x))
Eq(F_97(x), F_98(x)/F_19(x))
Eq(F_98(x), F_6(x))
Eq(F_99(x), F_100(x) + F_102(x))
Eq(F_100(x), F_101(x)*F_2(x))
Eq(F_101(x), F_65(x) + F_71(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_19(x))
Eq(F_104(x), F_105(x) + F_151(x))
Eq(F_105(x), F_106(x) + F_150(x))
Eq(F_106(x), F_107(x)*F_88(x))
Eq(F_107(x), F_108(x) + F_2(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_19(x))
Eq(F_110(x), F_111(x) + F_118(x))
Eq(F_111(x), F_107(x) + F_112(x))
Eq(F_112(x), F_113(x) + F_115(x))
Eq(F_113(x), F_114(x)*F_2(x))
Eq(F_114(x), (x - 3)*(F_114(x) + 1) + (F_114(x) + 1)**2 + F_114(x) + 2)
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_110(x)*F_117(x)*F_19(x))
Eq(F_117(x), F_114(x) + F_60(x))
Eq(F_118(x), F_119(x) + F_135(x))
Eq(F_119(x), F_120(x) + F_122(x))
Eq(F_120(x), F_121(x)*F_2(x))
Eq(F_121(x), F_1(x) + F_19(x))
Eq(F_122(x), F_108(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_19(x))
Eq(F_125(x), F_108(x) + F_126(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_19(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_107(x)*F_66(x))
Eq(F_130(x), F_0(x)*F_131(x))
Eq(F_131(x), F_132(x) + F_133(x))
Eq(F_132(x), F_107(x) + F_126(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_132(x)*F_19(x)*F_66(x))
Eq(F_135(x), -F_111(x) + F_136(x))
Eq(F_136(x), -F_137(x) + F_55(x))
Eq(F_137(x), F_138(x) + F_140(x))
Eq(F_138(x), F_114(x) + F_139(x))
Eq(F_139(x), F_19(x)*F_2(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_19(x))
Eq(F_142(x), F_143(x) + F_148(x))
Eq(F_143(x), F_108(x) + F_144(x))
Eq(F_144(x), F_114(x)*F_145(x))
Eq(F_145(x), F_146(x) + F_65(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_145(x)*F_19(x)*F_67(x))
Eq(F_148(x), F_126(x) + F_149(x))
Eq(F_149(x), F_145(x)*F_60(x))
Eq(F_150(x), F_112(x)*F_90(x))
Eq(F_151(x), F_152(x) + F_155(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), F_121(x)*F_2(x)*F_88(x))
Eq(F_154(x), F_122(x)*F_90(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_135(x)*F_90(x))
Eq(F_157(x), F_158(x)*F_87(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_19(x))
Eq(F_160(x), F_161(x) + F_166(x))
Eq(F_161(x), F_101(x)*F_162(x))
Eq(F_162(x), F_163(x) + F_2(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_19(x))
Eq(F_165(x), F_2(x) + F_5(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_19(x))
Eq(F_168(x), F_169(x) + F_92(x))
Eq(F_169(x), F_101(x)*F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_19(x))
Eq(F_172(x), F_173(x) + F_175(x))
Eq(F_173(x), F_118(x) + F_174(x))
Eq(F_174(x), F_111(x) + F_145(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_101(x)*F_177(x)*F_19(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_120(x) + F_65(x))
Eq(F_179(x), F_107(x) + F_158(x))
Eq(F_180(x), F_177(x)*F_88(x))
Eq(F_181(x), F_173(x) - F_177(x))
Eq(F_182(x), F_2(x)*F_65(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_185(x)*F_19(x)*F_57(x))
Eq(F_185(x), F_126(x) + F_60(x))
Eq(F_186(x), F_187(x) + F_198(x))
Eq(F_187(x), F_188(x) + F_196(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_190(x) + F_21(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_19(x)*F_192(x))
Eq(F_192(x), F_193(x) + F_194(x))
Eq(F_193(x), F_21(x)*F_4(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_173(x)*F_19(x)*F_88(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_185(x)*F_19(x)*F_88(x))
Eq(F_198(x), -F_196(x) + F_199(x))
Eq(F_199(x), F_200(x) + F_284(x))
Eq(F_200(x), F_201(x) - F_283(x))
Eq(F_201(x), F_202(x) + F_212(x))
Eq(F_202(x), F_203(x) - F_209(x))
Eq(F_203(x), F_204(x) + F_206(x))
Eq(F_204(x), F_114(x)*F_205(x))
Eq(F_205(x), F_21(x))
Eq(F_206(x), F_207(x) - F_211(x))
Eq(F_207(x), F_208(x) + F_209(x))
Eq(F_208(x), F_31(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_114(x)*F_19(x)*F_57(x))
Eq(F_211(x), F_205(x)*F_65(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_19(x)*F_214(x))
Eq(F_214(x), F_215(x) + F_279(x))
Eq(F_215(x), F_216(x)/F_19(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_19(x)*F_218(x))
Eq(F_218(x), F_219(x) + F_224(x))
Eq(F_219(x), -F_194(x) + F_220(x))
Eq(F_220(x), F_221(x) + F_222(x))
Eq(F_221(x), F_31(x)*F_4(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_173(x)*F_19(x)*F_57(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_226(x)*F_4(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_19(x)*F_228(x))
Eq(F_228(x), F_229(x)/F_254(x))
Eq(F_229(x), F_230(x) - F_236(x))
Eq(F_230(x), F_231(x)/F_19(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x) - F_278(x))
Eq(F_233(x), F_234(x) + F_252(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), F_19(x)*F_236(x))
Eq(F_236(x), F_237(x) + F_238(x))
Eq(F_237(x), F_57(x)*F_80(x))
Eq(F_238(x), F_101(x)*F_239(x))
Eq(F_239(x), F_240(x) - F_248(x))
Eq(F_240(x), F_241(x)/F_19(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_59(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_19(x))
Eq(F_245(x), F_26(x))
Eq(F_246(x), F_2(x)*F_247(x))
Eq(F_247(x), F_107(x) + F_65(x))
Eq(F_248(x), F_249(x) + F_251(x))
Eq(F_249(x), F_2(x)*F_250(x))
Eq(F_250(x), F_239(x) + F_57(x))
Eq(F_251(x), F_108(x)*F_57(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_19(x)*F_254(x)*F_57(x))
Eq(F_254(x), F_255(x) + F_65(x))
Eq(F_255(x), F_256(x) - F_266(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_19(x)*F_258(x))
Eq(F_258(x), F_259(x) + F_262(x))
Eq(F_259(x), F_260(x) + F_261(x))
Eq(F_260(x), F_132(x) + F_67(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x) + F_264(x))
Eq(F_263(x), F_256(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_19(x)*F_256(x)*F_66(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_19(x)*F_268(x))
Eq(F_268(x), F_269(x) + F_272(x))
Eq(F_269(x), F_270(x) + F_271(x))
Eq(F_270(x), F_107(x) + F_266(x))
Eq(F_271(x), F_266(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_19(x)*F_274(x))
Eq(F_274(x), F_275(x) + F_277(x))
Eq(F_275(x), F_130(x) + F_276(x))
Eq(F_276(x), F_270(x)*F_66(x))
Eq(F_277(x), F_271(x)*F_66(x))
Eq(F_278(x), F_205(x)*F_254(x))
Eq(F_279(x), F_2(x)*F_280(x))
Eq(F_280(x), -F_228(x) + F_281(x))
Eq(F_281(x), F_282(x)/F_19(x))
Eq(F_282(x), F_202(x))
Eq(F_283(x), F_2(x)*F_31(x))
Eq(F_284(x), F_183(x))
Eq(F_285(x), F_2(x) + F_26(x))
Eq(F_286(x), F_0(x)*F_114(x))
Eq(F_287(x), F_288(x) + F_290(x))
Eq(F_288(x), F_289(x) + F_38(x))
Eq(F_289(x), F_0(x)*F_108(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_19(x)*F_292(x))
Eq(F_292(x), F_293(x) + F_294(x))
Eq(F_293(x), F_20(x)*F_4(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_173(x)*F_19(x)*F_296(x))
Eq(F_296(x), F_297(x) + F_298(x))
Eq(F_297(x), F_0(x)*F_67(x))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_19(x)*F_57(x)*F_67(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_19(x)*F_302(x))
Eq(F_302(x), F_303(x)/F_19(x))
Eq(F_303(x), F_37(x))
Eq(F_304(x), F_190(x) + F_305(x))
Eq(F_305(x), F_306(x))
Eq(F_306(x), F_19(x)*F_307(x))
Eq(F_307(x), F_308(x) + F_311(x))
Eq(F_308(x), F_309(x) + F_310(x))
Eq(F_309(x), F_19(x)*F_2(x)*F_88(x))
Eq(F_310(x), F_140(x)*F_90(x))
Eq(F_311(x), F_150(x) + F_155(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, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2]], "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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 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