02341_02431_12340_12430_21340_21430_31240
Counting sequence:
1, 1, 2, 6, 24, 113, 581, 3143, 17551, 100094, 579238, 3387321, 19962388, 118332459, 704610106, 4210420685, 25230226821, 151530452948, 911760492083, 5494431676771, 33152386956661, 200247989468320, 1210629781922865, 7324637889874286, 44345012745038370, 268625768478410044, 1628027909244498730, 9870965621411927940, 59871162721775423339, 363258823980868123092, 2204642394298639755240, 13383482119379054056507, 81263696740639368410995, 493525609443819886701692, 2997775361432771538620794, 18211954826156081555909596, 110656000234955809138806993, 672431444344242360969615657, 4086675658896117790090759097, 24839140208883374232594511557, 150988147773044247715569386958, 917878577365488272590034588800, 5580335096898853052100470391085, 33928522976396777702941339940666, 206298724731314677323878520792775, 1254447866362435846894371745210690, 7628356750584254990649585020706159, 46390571036728475118012689042054709, 282128541130622117805626376668231804, 1715857902058045915067809803197539923, 10435930301967085808182173895417586589, 63473913592597650285302074492692965557, 386075694348006394209594715046831543410, 2348343683031267475978389202178572092539, 14284396381909448496454001771813222747172, 86890498287957015500329445805252495723756, 528557253855152599082705872709540658386118, 3215291921807600976885272582993129346661582, 19559454343220734998977226771385473542517730, 118987243341415636705848632329000455519384629, 723853793304328924675425953645221516527118124, 4403597108057770643310505173295126414160491764, 26789838992027154740254270783456704825929903969, 162981383895425856459258692261656219719494053893, 991541453452620504065101026435518518750499450406, 6032375443083895005141018281272766381755964369750, 36700343615434309227930044085236594330741245060424, 223283108283677022521655074733828373908409415234677, 1358455124251336833247388431209137235088935173522225, 8264910412165702095273160602012773101571110490412443, 50284506274241027464054268012151413815779422948154951, 305937838139127276629656290099705531634075872227858742, 1861379618690609467661987328955886114165892272074673886, 11325027948569611512338299411281118828477849476333445121, 68904248767137403637611567988243089471559259473125876176, 419232507297247067962675816306266942820012287067442790831, 2550738730672344529476061466313622379201274881389438853746, 15519543432373964986640189193317027101186280950681007588553, 94426460980032006475702670834841860904672264057475110505333, 574526642999401539383068122159603953318552355772615491394768, 3495652152563869947210590988773014087661426634927059925154003, 21269031740104523507991133834233150164840226193482893803735243, 129410228734667562254326106191334610166812013874450150753121129, 787391599102615103933427948069516559060916697149173326771138064, 4790867414901016382699451430396743322867480470441962620306202777, 29150006302630312676569339995463133076543588977696912993069540502, 177363482412684585029541104489938355668445913064767388709525409134, 1079172196270677489783535130054558888572905011829019832607018457356, 6566262060684856143130484612857157459101045981542043592121237434222, 39952737361257729341077839441280709389284880978587341079285684621400, 243094805974938528720095570600803090376613694705916694354952629240375, 1479127388104610496492251187540696341177028764400518301577597201994704, 8999869040196795366530077996501491875945178958150099259654041956840660, 54760508094833433506207805381960070745692461774208098059133607310849203, 333195689797476552149099064222468890402713340512096931661909402618127463, 2027364643676100600590796266485153897593622386738609632356928459502615696, 12335731662031475673033407694750350514700673322333290799253813309701542018, 75058257330924060177844710880570954579079549255327998820334999719685716580, 456701593174899112349308763691559628660086534121544746943048362832076381229, 2778862340072895586826645953902868166299904661838387006088751594412326310789, 16908378800297066043099091518750471002940614481853379663832941421817116611709
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24753/
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[16,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[439,x]+F[7,x]+F[8,x]
F[7,x] = 0
F[8,x] = F[16,x]*F[9,x]
F[9,x] = F[10,x]+F[47,x]
F[10,x] = F[11,x]+F[24,x]
F[11,x] = F[1,x]+F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[16,x]
F[14,x] = F[15,x]+F[17,x]
F[15,x] = F[1,x]+F[16,x]
F[16,x] = x
F[17,x] = F[12,x]+F[18,x]
F[18,x] = F[19,x]+F[23,x]+F[7,x]
F[19,x] = F[16,x]*F[20,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[16,x]
F[22,x] = F[18,x]
F[23,x] = F[12,x]*F[16,x]
F[24,x] = F[25,x]+F[27,x]
F[25,x] = F[26,x]
F[26,x] = F[10,x]*F[16,x]
F[27,x] = F[28,x]+F[43,x]+F[7,x]
F[28,x] = F[16,x]*F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = F[16,x]+F[18,x]
F[31,x] = F[32,x]+F[34,x]
F[32,x] = F[28,x]+F[33,x]+F[7,x]
F[33,x] = F[16,x]*F[25,x]
F[34,x] = F[35,x]+F[36,x]+F[42,x]+F[7,x]
F[35,x] = 0
F[36,x] = F[16,x]*F[37,x]
F[37,x] = F[38,x]+F[40,x]
F[38,x] = F[39,x]
F[39,x] = F[33,x]
F[40,x] = F[41,x]
F[41,x] = 2*F[7,x]+F[36,x]+F[42,x]
F[42,x] = F[16,x]*F[27,x]
F[43,x] = F[16,x]*F[44,x]
F[44,x] = F[45,x]+F[46,x]
F[45,x] = F[25,x]+F[39,x]
F[46,x] = F[27,x]+F[41,x]
F[47,x] = 1/F[16,x]*F[48,x]
F[48,x] = -F[436,x]-F[7,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[16,x]*F[51,x]
F[51,x] = F[414,x]+F[434,x]+F[52,x]+F[53,x]
F[52,x] = F[1,x]+F[25,x]
F[53,x] = F[16,x]*F[54,x]
F[54,x] = F[308,x]+F[55,x]
F[55,x] = F[56,x,1]
F[56,x,k[0]] = F[57,x,k[0]]+F[96,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]*F[9,x]
F[58,x,k[0]] = F[1,x]+F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]*F[62,x,k[0]]
F[61,x,k[0]] = k[0]*x
F[62,x,k[0]] = F[63,x,k[0]]+F[75,x,k[0]]
F[63,x,k[0]] = F[1,x]+F[64,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[61,x,k[0]]*F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]+F[68,x,k[0]]
F[67,x,k[0]] = F[1,x]+F[61,x,k[0]]
F[68,x,k[0]] = F[64,x,k[0]]+F[69,x,k[0]]
F[69,x,k[0]] = F[7,x]+F[70,x,k[0]]+F[74,x,k[0]]
F[70,x,k[0]] = F[61,x,k[0]]*F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]+F[73,x,k[0]]
F[72,x,k[0]] = F[61,x,k[0]]
F[73,x,k[0]] = F[69,x,k[0]]
F[74,x,k[0]] = F[61,x,k[0]]*F[64,x,k[0]]
F[75,x,k[0]] = F[59,x,k[0]]+F[76,x,k[0]]
F[76,x,k[0]] = F[7,x]+F[77,x,k[0]]+F[86,x,k[0]]
F[77,x,k[0]] = F[61,x,k[0]]*F[78,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]+F[81,x,k[0]]
F[79,x,k[0]] = F[61,x,k[0]]+F[80,x,k[0]]
F[80,x,k[0]] = F[74,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]+F[84,x,k[0]]
F[82,x,k[0]] = F[7,x]+F[77,x,k[0]]+F[83,x,k[0]]
F[83,x,k[0]] = F[59,x,k[0]]*F[61,x,k[0]]
F[84,x,k[0]] = F[85,x,k[0]]
F[85,x,k[0]] = F[61,x,k[0]]*F[76,x,k[0]]
F[86,x,k[0]] = F[61,x,k[0]]*F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]+F[89,x,k[0]]
F[88,x,k[0]] = F[59,x,k[0]]+F[82,x,k[0]]
F[89,x,k[0]] = F[76,x,k[0]]+F[90,x,k[0]]
F[90,x,k[0]] = F[7,x]+F[85,x,k[0]]+F[91,x,k[0]]+F[92,x,k[0]]
F[91,x,k[0]] = 0
F[92,x,k[0]] = F[61,x,k[0]]*F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]+F[95,x,k[0]]
F[94,x,k[0]] = F[82,x,k[0]]
F[95,x,k[0]] = F[90,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[61,x,k[0]]*F[62,x,k[0]]*F[98,x,k[0]]
F[98,x,k[0]] = F[306,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x]*F[303,x,k[0]]
F[100,x] = -F[298,x]+F[101,x]
F[101,x] = F[102,x,1]
F[102,x,k[0]] = F[103,x,k[0]]+F[293,x,k[0]]
F[103,x,k[0]] = F[1,x]+F[104,x,k[0]]+F[286,x,k[0]]+F[290,x,k[0]]+F[291,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]*F[16,x]
F[105,x,k[0]] = F[106,x,k[0]]+F[284,x,k[0]]
F[106,x,k[0]] = 1/(-1+k[0])*(F[107,x,k[0]]*k[0]-F[107,x,1])
F[107,x,k[0]] = F[108,x,k[0]]+F[4,x]
F[109,x,k[0]] = (F[108,x,k[0]]-F[108,x,1])/(-1+k[0])
F[109,x,k[0]] = F[110,x,k[0]]
F[110,x,k[0]] = 1/(-1+k[0])*(F[111,x,k[0]]*k[0]-F[111,x,1])
F[111,x,k[0]] = F[112,x]+F[158,x,k[0]]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[16,x]
F[114,x] = F[115,x]+F[152,x]+F[4,x]
F[115,x] = -F[118,x]-F[4,x]+F[116,x]
F[116,x] = 1/F[16,x]*F[117,x]
F[117,x] = F[6,x]
F[118,x] = F[119,x]*F[16,x]
F[119,x] = F[120,x,1]
F[121,x,k[0]] = F[120,x,k[0]]*F[16,x]
F[121,x,k[0]] = F[122,x,k[0]]
F[123,x,k[0]] = F[122,x,k[0]]+F[141,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]+F[4,x]
F[124,x,k[0]] = F[125,x,k[0]]+F[127,x,k[0]]+F[139,x,k[0]]+F[7,x]
F[125,x,k[0]] = F[126,x,k[0]]*F[16,x]
F[126,x,k[0]] = -k[0]*(-F[108,x,k[0]]+F[108,x,1])/(-1+k[0])
F[127,x,k[0]] = F[128,x,k[0]]*F[61,x,k[0]]
F[128,x,k[0]] = F[123,x,k[0]]+F[129,x,k[0]]
F[129,x,k[0]] = k[0]*F[130,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[133,x,k[0]]+F[135,x,k[0]]+F[136,x,k[0]]+F[7,x]
F[131,x,k[0]] = F[132,x,k[0]]*F[16,x]
F[132,x,k[0]] = 1/(-1+k[0])*(F[111,x,k[0]]*k[0]-F[111,x,1])
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[130,x,k[0]]*F[61,x,k[0]]
F[135,x,k[0]] = F[123,x,k[0]]*F[16,x]
F[136,x,k[0]] = F[137,x,k[0]]*F[16,x]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = (F[124,x,k[0]]-F[124,x,1])/(-1+k[0])
F[139,x,k[0]] = F[140,x,k[0]]*F[16,x]
F[140,x,k[0]] = -k[0]*(-F[124,x,k[0]]+F[124,x,1])/(-1+k[0])
F[141,x,k[0]] = F[142,x,k[0]]+F[5,x]
F[142,x,k[0]] = F[143,x,k[0]]+F[150,x,k[0]]+F[7,x]
F[143,x,k[0]] = F[144,x,k[0]]*F[61,x,k[0]]
F[144,x,k[0]] = F[141,x,k[0]]+F[145,x,k[0]]
F[145,x,k[0]] = k[0]*F[146,x,k[0]]
F[146,x,k[0]] = F[147,x,k[0]]
F[147,x,k[0]] = F[148,x,k[0]]*F[16,x]
F[149,x,k[0]] = F[148,x,k[0]]*F[61,x,k[0]]
F[149,x,k[0]] = F[142,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]*F[16,x]
F[151,x,k[0]] = -k[0]*(F[142,x,1]-F[142,x,k[0]])/(-1+k[0])
F[152,x] = -F[155,x]-F[4,x]+F[153,x]
F[153,x] = 1/F[16,x]*F[154,x]
F[154,x] = F[49,x]
F[155,x] = F[156,x]*F[16,x]
F[156,x] = 1/F[16,x]*F[157,x]
F[157,x] = F[47,x]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]*F[61,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]+F[280,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[16,x]*F[164,x,k[0]]
F[165,x,k[0]] = F[164,x,k[0]]*F[61,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[108,x,k[0]]+F[167,x,k[0]]+F[168,x,k[0]]
F[167,x,k[0]] = F[166,x,k[0]]*F[61,x,k[0]]
F[168,x,k[0]] = F[16,x]*F[169,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]+F[230,x,k[0]]
F[171,x,k[0]] = F[170,x,k[0]]+F[208,x,k[0]]
F[172,x,k[0]] = F[171,x,k[0]]+F[175,x,k[0]]
F[173,x,k[0]] = F[172,x,k[0]]*F[61,x,k[0]]
F[173,x,k[0]] = F[174,x,k[0]]
F[174,x,k[0]] = -k[0]*(-F[108,x,k[0]]+F[108,x,1])/(-1+k[0])
F[175,x,k[0]] = F[176,x,k[0]]
F[176,x,k[0]] = F[16,x]*F[177,x,k[0]]*F[200,x]
F[178,x,k[0]] = F[16,x]*F[177,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]
F[180,x,k[0]] = F[107,x,k[0]]+F[179,x,k[0]]
F[180,x,k[0]] = F[181,x]+F[199,x,k[0]]
F[181,x] = -F[196,x]+F[182,x]
F[182,x] = 1/F[16,x]*F[183,x]
F[183,x] = -F[1,x]-F[184,x]-F[192,x]+F[9,x]
F[184,x] = F[16,x]*F[185,x]
F[185,x] = F[186,x,1]
F[186,x,k[0]] = F[187,x,k[0]]+F[9,x]
F[187,x,k[0]] = k[0]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[16,x]*F[190,x]
F[190,x] = 1/F[16,x]*F[191,x]
F[191,x] = F[115,x]
F[192,x] = F[16,x]*F[193,x]
F[193,x] = F[194,x]+F[9,x]
F[194,x] = F[195,x,1]
F[103,x,k[0]] = F[195,x,k[0]]+F[9,x]
F[196,x] = F[197,x]
F[197,x] = -F[198,x]+F[185,x]
F[198,x] = F[112,x]+F[4,x]
F[199,x,k[0]] = F[108,x,k[0]]+F[159,x,k[0]]
F[200,x] = F[201,x,1]
F[201,x,k[0]] = F[202,x]+F[203,x,k[0]]
F[202,x] = F[141,x,1]
F[203,x,k[0]] = F[204,x,k[0]]
F[204,x,k[0]] = F[202,x]*F[205,x,k[0]]*F[61,x,k[0]]
F[205,x,k[0]] = F[1,x]+F[206,x,k[0]]+F[207,x,k[0]]
F[206,x,k[0]] = F[205,x,k[0]]*F[61,x,k[0]]
F[207,x,k[0]] = F[16,x]*F[201,x,k[0]]
F[208,x,k[0]] = F[209,x]+F[228,x,k[0]]
F[209,x] = -F[213,x]+F[210,x]
F[210,x] = 1/F[16,x]*F[211,x]
F[211,x] = F[212,x]
F[212,x] = F[189,x]
F[213,x] = F[214,x]
F[214,x] = F[16,x]*F[200,x]*F[215,x]
F[215,x] = -F[216,x]+F[153,x]
F[216,x] = F[155,x]+F[217,x]+F[7,x]
F[217,x] = F[16,x]*F[218,x]
F[218,x] = F[219,x]
F[219,x] = -F[220,x]+F[119,x]
F[220,x] = 1/F[16,x]*F[221,x]
F[221,x] = F[222,x]
F[222,x] = -F[4,x]+F[223,x]
F[223,x] = -F[224,x]+F[116,x]
F[224,x] = F[225,x,k[0]]
F[226,x,k[0]] = F[177,x,k[0]]+F[225,x,k[0]]
F[227,x,k[0]] = F[226,x,k[0]]*F[61,x,k[0]]
F[227,x,k[0]] = F[108,x,k[0]]
F[228,x,k[0]] = F[229,x,k[0]]
F[229,x,k[0]] = F[201,x,k[0]]*F[215,x]*F[61,x,k[0]]
F[231,x,k[0]] = F[230,x,k[0]]+F[264,x]
F[231,x,k[0]] = F[232,x,k[0]]
F[232,x,k[0]] = F[16,x]*F[200,x]*F[233,x,k[0]]
F[234,x,k[0]] = F[16,x]*F[233,x,k[0]]
F[234,x,k[0]] = F[235,x,k[0]]
F[235,x,k[0]] = F[236,x,k[0]]+F[252,x,k[0]]+F[254,x,k[0]]+F[255,x,k[0]]+F[7,x]
F[236,x,k[0]] = F[16,x]*F[237,x,k[0]]
F[237,x,k[0]] = F[188,x]+F[238,x,k[0]]
F[238,x,k[0]] = k[0]*F[239,x]
F[239,x] = -F[188,x]+F[240,x]
F[240,x] = 1/F[16,x]*F[241,x]
F[241,x] = -F[247,x]-F[249,x]-F[250,x]-F[7,x]+F[242,x]
F[242,x] = F[243,x]
F[243,x] = -F[182,x]+F[244,x]
F[244,x] = F[100,x]+F[245,x]
F[245,x] = F[246,x]
F[246,x] = F[179,x,1]
F[247,x] = F[248,x]
F[248,x] = F[16,x]*F[242,x]
F[249,x] = F[16,x]*F[9,x]
F[250,x] = F[16,x]*F[251,x]
F[251,x] = F[194,x]
F[252,x,k[0]] = F[253,x,k[0]]
F[253,x,k[0]] = F[235,x,k[0]]*F[61,x,k[0]]
F[254,x,k[0]] = F[107,x,k[0]]*F[16,x]
F[255,x,k[0]] = F[16,x]*F[256,x,k[0]]
F[256,x,k[0]] = F[257,x,k[0]]
F[258,x,k[0]] = F[107,x,k[0]]+F[257,x,k[0]]
F[259,x,k[0]] = F[16,x]*F[258,x,k[0]]
F[107,x,k[0]] = F[1,x]+F[259,x,k[0]]+F[260,x,k[0]]+F[261,x,k[0]]
F[260,x,k[0]] = F[16,x]*F[186,x,k[0]]
F[261,x,k[0]] = F[262,x,k[0]]*F[61,x,k[0]]
F[262,x,k[0]] = F[107,x,k[0]]+F[263,x,k[0]]
F[263,x,k[0]] = k[0]*F[179,x,k[0]]
F[264,x] = -F[266,x]+F[265,x]
F[265,x] = F[231,x,1]
F[266,x] = -F[283,x]+F[267,x]
F[267,x] = 1/F[16,x]*F[268,x]
F[268,x] = -F[212,x]-F[282,x]+F[269,x]
F[269,x] = -F[270,x]+F[190,x]
F[270,x] = -F[274,x]+F[271,x]
F[271,x] = F[209,x]+F[272,x]
F[272,x] = F[273,x]
F[273,x] = F[16,x]*F[200,x]*F[215,x]
F[274,x] = F[275,x]
F[275,x] = -F[278,x]+F[276,x]
F[276,x] = 1/F[16,x]*F[277,x]
F[277,x] = F[197,x]
F[278,x] = F[271,x]+F[279,x]
F[279,x] = F[280,x,1]
F[280,x,k[0]] = F[281,x,k[0]]
F[281,x,k[0]] = F[16,x]*F[205,x,k[0]]*F[215,x]
F[282,x] = F[16,x]*F[269,x]
F[283,x] = F[170,x,1]
F[284,x,k[0]] = F[285,x,k[0]]
F[285,x,k[0]] = (F[108,x,k[0]]-F[108,x,1])/(-1+k[0])
F[286,x,k[0]] = F[16,x]*F[287,x,k[0]]
F[287,x,k[0]] = F[182,x]+F[288,x,k[0]]
F[288,x,k[0]] = F[289,x,k[0]]
F[289,x,k[0]] = k[0]*F[242,x]
F[290,x,k[0]] = F[102,x,k[0]]*F[61,x,k[0]]
F[291,x,k[0]] = F[16,x]*F[292,x,k[0]]
F[292,x,k[0]] = (F[103,x,k[0]]*k[0]-F[103,x,1])/(-1+k[0])
F[293,x,k[0]] = k[0]*F[294,x,k[0]]
F[294,x,k[0]] = F[295,x,k[0]]
F[295,x,k[0]] = F[16,x]*F[296,x,k[0]]
F[297,x,k[0]] = F[296,x,k[0]]*F[61,x,k[0]]
F[297,x,k[0]] = F[195,x,k[0]]
F[298,x] = F[299,x,1]
F[300,x,k[0]] = -k[0]*(F[299,x,1]-F[299,x,k[0]])/(-1+k[0])
F[301,x,k[0]] = F[101,x]+F[300,x,k[0]]
F[301,x,k[0]] = (F[302,x,k[0]]*k[0]-F[302,x,1])/(-1+k[0])
F[302,x,k[0]] = F[103,x,k[0]]+F[294,x,k[0]]
F[303,x,k[0]] = F[1,x]+F[304,x,k[0]]
F[304,x,k[0]] = F[305,x,k[0]]
F[305,x,k[0]] = F[303,x,k[0]]*F[61,x,k[0]]
F[306,x,k[0]] = F[307,x,k[0]]
F[307,x,k[0]] = F[303,x,k[0]]^2*F[100,x]*F[61,x,k[0]]
F[308,x] = F[309,x,1]
F[309,x,k[0]] = F[310,x,k[0]]
F[310,x,k[0]] = F[16,x]*F[311,x,k[0]]
F[311,x,k[0]] = F[312,x,k[0]]+F[389,x]
F[312,x,k[0]] = F[313,x,k[0]]*F[327,x]
F[314,x,k[0]] = F[16,x]*F[313,x,k[0]]
F[314,x,k[0]] = F[315,x,k[0]]
F[120,x,k[0]] = F[107,x,k[0]]+F[315,x,k[0]]+F[316,x,k[0]]+F[325,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]
F[317,x,k[0]] = F[318,x,k[0]]*F[61,x,k[0]]
F[319,x,k[0]] = F[16,x]*F[318,x,k[0]]
F[319,x,k[0]] = F[320,x,k[0]]
F[321,x,k[0]] = F[320,x,k[0]]*F[61,x,k[0]]
F[122,x,k[0]] = F[321,x,k[0]]+F[322,x,k[0]]+F[323,x,k[0]]+F[7,x]
F[322,x,k[0]] = F[106,x,k[0]]*F[16,x]
F[323,x,k[0]] = F[16,x]*F[324,x,k[0]]
F[324,x,k[0]] = (F[122,x,k[0]]*k[0]-F[122,x,1])/(-1+k[0])
F[325,x,k[0]] = F[16,x]*F[326,x,k[0]]
F[326,x,k[0]] = (F[120,x,k[0]]*k[0]-F[120,x,1])/(-1+k[0])
F[327,x] = F[328,x]+F[52,x]
F[328,x] = F[329,x]+F[332,x]
F[329,x] = F[330,x]
F[330,x] = F[16,x]*F[331,x]
F[331,x] = F[1,x]+F[329,x]
F[332,x] = F[333,x]+F[348,x]+F[7,x]
F[333,x] = F[16,x]*F[334,x]
F[334,x] = F[12,x]+F[335,x]
F[335,x] = F[336,x]
F[336,x] = F[16,x]*F[337,x]
F[337,x] = F[338,x]+F[341,x]
F[338,x] = F[329,x]+F[339,x]
F[339,x] = F[340,x]
F[340,x] = F[16,x]*F[329,x]
F[341,x] = F[335,x]+F[342,x]
F[342,x] = 2*F[7,x]+F[343,x]+F[347,x]
F[343,x] = F[16,x]*F[344,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[339,x]
F[346,x] = F[342,x]
F[347,x] = F[16,x]*F[335,x]
F[348,x] = F[16,x]*F[349,x]
F[349,x] = F[350,x]+F[362,x]
F[350,x] = F[329,x]+F[351,x]
F[351,x] = F[352,x]+F[354,x]+F[7,x]
F[352,x] = F[16,x]*F[353,x]
F[353,x] = F[16,x]+F[339,x]
F[354,x] = F[16,x]*F[355,x]
F[355,x] = F[338,x]+F[356,x]
F[356,x] = F[351,x]+F[357,x]
F[357,x] = 2*F[7,x]+F[358,x]+F[361,x]
F[358,x] = F[16,x]*F[359,x]
F[359,x] = F[345,x]+F[360,x]
F[360,x] = F[357,x]
F[361,x] = F[16,x]*F[351,x]
F[362,x] = F[332,x]+F[363,x]
F[363,x] = F[364,x]+F[366,x]+F[385,x]+F[7,x]
F[364,x] = F[16,x]*F[365,x]
F[365,x] = F[18,x]+F[342,x]
F[366,x] = F[16,x]*F[367,x]
F[367,x] = F[368,x]+F[372,x]
F[368,x] = F[369,x]+F[370,x]
F[369,x] = F[340,x]+F[352,x]+F[7,x]
F[370,x] = F[358,x]+F[361,x]+F[371,x]+F[7,x]
F[371,x] = 0
F[372,x] = F[373,x]+F[375,x]
F[373,x] = F[364,x]+F[366,x]+F[374,x]+F[7,x]
F[374,x] = F[16,x]*F[332,x]
F[375,x] = F[376,x]+F[377,x]+F[378,x]+F[384,x]+F[7,x]
F[376,x] = 0
F[377,x] = 0
F[378,x] = F[16,x]*F[379,x]
F[379,x] = F[380,x]+F[382,x]
F[380,x] = F[381,x]
F[381,x] = F[374,x]
F[382,x] = F[383,x]
F[383,x] = 3*F[7,x]+F[378,x]+F[384,x]
F[384,x] = F[16,x]*F[363,x]
F[385,x] = F[16,x]*F[386,x]
F[386,x] = F[387,x]+F[388,x]
F[387,x] = F[332,x]+F[381,x]
F[388,x] = F[363,x]+F[383,x]
F[389,x] = F[390,x]
F[390,x] = F[16,x]*F[331,x]*F[391,x]*F[392,x]
F[391,x] = F[177,x,1]
F[392,x] = 1/F[16,x]/F[331,x]/F[9,x]*F[393,x]
F[393,x] = F[394,x]
F[394,x] = -F[411,x]+F[395,x]
F[395,x] = F[396,x]+F[409,x]
F[396,x] = -F[404,x]+F[397,x]
F[397,x] = F[398,x]+F[402,x]
F[398,x] = F[399,x]+F[400,x]
F[399,x] = F[100,x]*F[327,x]
F[400,x] = F[401,x]
F[401,x] = F[16,x]*F[327,x]*F[391,x]
F[402,x] = F[403,x]
F[403,x] = F[96,x,1]
F[404,x] = F[405,x]
F[405,x] = F[406,x]+F[407,x]
F[406,x] = F[242,x]*F[327,x]
F[407,x] = F[408,x]
F[408,x] = F[16,x]*F[242,x]*F[331,x]*F[392,x]
F[409,x] = F[410,x]
F[410,x] = F[246,x]*F[327,x]
F[411,x] = F[412,x]+F[413,x]
F[412,x] = F[182,x]*F[327,x]
F[413,x] = F[401,x]
F[414,x] = F[415,x,1]
F[415,x,k[0]] = F[416,x,k[0]]*F[61,x,k[0]]
F[416,x,k[0]] = F[417,x,k[0]]+F[427,x,k[0]]
F[417,x,k[0]] = F[415,x,k[0]]+F[418,x,k[0]]+F[425,x,k[0]]+F[52,x]
F[418,x,k[0]] = F[16,x]*F[419,x,k[0]]
F[419,x,k[0]] = F[309,x,k[0]]+F[420,x,k[0]]
F[420,x,k[0]] = F[421,x,k[0]]+F[422,x,k[0]]
F[421,x,k[0]] = F[107,x,k[0]]*F[52,x]
F[422,x,k[0]] = F[423,x,k[0]]
F[423,x,k[0]] = F[394,x]+F[424,x,k[0]]
F[424,x,k[0]] = k[0]*F[407,x]
F[425,x,k[0]] = F[16,x]*F[426,x,k[0]]
F[426,x,k[0]] = (F[417,x,k[0]]*k[0]-F[417,x,1])/(-1+k[0])
F[427,x,k[0]] = k[0]*F[428,x,k[0]]
F[428,x,k[0]] = F[429,x,k[0]]
F[429,x,k[0]] = F[16,x]*F[430,x,k[0]]
F[431,x,k[0]] = F[430,x,k[0]]*F[61,x,k[0]]
F[431,x,k[0]] = F[432,x,k[0]]
F[433,x,k[0]] = -k[0]*(F[432,x,1]-F[432,x,k[0]])/(-1+k[0])
F[426,x,k[0]] = F[433,x,k[0]]+F[51,x]
F[434,x] = F[16,x]*F[435,x]
F[435,x] = F[426,x,1]
F[436,x] = F[16,x]*F[437,x]
F[437,x] = F[202,x]+F[438,x]
F[438,x] = F[122,x,1]
F[439,x] = F[16,x]*F[438,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_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{439}\! \left(x \right)+F_{7}\! \left(x \right)+F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x \right) = F_{16}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{47}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{24}\! \left(x \right)
F_{11}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{16}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{17}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = x
F_{17}\! \left(x \right) = F_{12}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{23}\! \left(x \right)+F_{7}\! \left(x \right)
F_{19}\! \left(x \right) = F_{16}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{16}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{27}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{43}\! \left(x \right)+F_{7}\! \left(x \right)
F_{28}\! \left(x \right) = F_{16}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = F_{16}\! \left(x \right)+F_{18}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{34}\! \left(x \right)
F_{32}\! \left(x \right) = F_{28}\! \left(x \right)+F_{33}\! \left(x \right)+F_{7}\! \left(x \right)
F_{33}\! \left(x \right) = F_{16}\! \left(x \right) F_{25}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)+F_{42}\! \left(x \right)+F_{7}\! \left(x \right)
F_{35}\! \left(x \right) = 0
F_{36}\! \left(x \right) = F_{16}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{33}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{36}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{16}\! \left(x \right) F_{27}\! \left(x \right)
F_{43}\! \left(x \right) = F_{16}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{46}\! \left(x \right)
F_{45}\! \left(x \right) = F_{25}\! \left(x \right)+F_{39}\! \left(x \right)
F_{46}\! \left(x \right) = F_{27}\! \left(x \right)+F_{41}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{48}\! \left(x \right) = -F_{436}\! \left(x \right)-F_{7}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{16}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{414}\! \left(x \right)+F_{434}\! \left(x \right)+F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{53}\! \left(x \right) = F_{16}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{308}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{9}\! \left(x \right)
F_{58}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = y x
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{64}\! \left(x , y\right)+F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{70}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{59}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{77}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{77}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{59}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{76}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{59}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{85}\! \left(x , y\right)+F_{91}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = 0
F_{92}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{61}\! \left(x , y\right) F_{62}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{306}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x \right) F_{303}\! \left(x , y\right)
F_{100}\! \left(x \right) = -F_{298}\! \left(x \right)+F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x , 1\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{293}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{104}\! \left(x , y\right)+F_{286}\! \left(x , y\right)+F_{290}\! \left(x , y\right)+F_{291}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{284}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = -\frac{-F_{107}\! \left(x , y\right) y +F_{107}\! \left(x , 1\right)}{-1+y}
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{109}\! \left(x , y\right) = -\frac{-F_{108}\! \left(x , y\right)+F_{108}\! \left(x , 1\right)}{-1+y}
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = -\frac{-F_{111}\! \left(x , y\right) y +F_{111}\! \left(x , 1\right)}{-1+y}
F_{111}\! \left(x , y\right) = F_{112}\! \left(x \right)+F_{158}\! \left(x , y\right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{16}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{152}\! \left(x \right)+F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)-F_{4}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{6}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{16}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x , 1\right)
F_{121}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{141}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{127}\! \left(x , y\right)+F_{139}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{126}\! \left(x , y\right) = -\frac{y \left(-F_{108}\! \left(x , y\right)+F_{108}\! \left(x , 1\right)\right)}{-1+y}
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = y F_{130}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{133}\! \left(x , y\right)+F_{135}\! \left(x , y\right)+F_{136}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{132}\! \left(x , y\right) = -\frac{-F_{111}\! \left(x , y\right) y +F_{111}\! \left(x , 1\right)}{-1+y}
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = -\frac{-F_{124}\! \left(x , y\right)+F_{124}\! \left(x , 1\right)}{-1+y}
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{140}\! \left(x , y\right) = -\frac{y \left(-F_{124}\! \left(x , y\right)+F_{124}\! \left(x , 1\right)\right)}{-1+y}
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{5}\! \left(x \right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{150}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{141}\! \left(x , y\right)+F_{145}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = y F_{146}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{149}\! \left(x , y\right) = F_{148}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{142}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{151}\! \left(x , y\right) = -\frac{y \left(F_{142}\! \left(x , 1\right)-F_{142}\! \left(x , y\right)\right)}{-1+y}
F_{152}\! \left(x \right) = -F_{155}\! \left(x \right)-F_{4}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{49}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{16}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{157}\! \left(x \right) = F_{47}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{280}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{164}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{164}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{167}\! \left(x , y\right)+F_{168}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{166}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{169}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)+F_{230}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{170}\! \left(x , y\right)+F_{208}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{172}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = -\frac{y \left(-F_{108}\! \left(x , y\right)+F_{108}\! \left(x , 1\right)\right)}{-1+y}
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{177}\! \left(x , y\right) F_{200}\! \left(x \right)
F_{178}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{177}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{179}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x \right)+F_{199}\! \left(x , y\right)
F_{181}\! \left(x \right) = -F_{196}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = \frac{F_{183}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{183}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{184}\! \left(x \right)-F_{192}\! \left(x \right)+F_{9}\! \left(x \right)
F_{184}\! \left(x \right) = F_{16}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x , 1\right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{187}\! \left(x , y\right) = y F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{16}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{115}\! \left(x \right)
F_{192}\! \left(x \right) = F_{16}\! \left(x \right) F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{9}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x , 1\right)
F_{103}\! \left(x , y\right) = F_{195}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{185}\! \left(x \right)
F_{198}\! \left(x \right) = F_{112}\! \left(x \right)+F_{4}\! \left(x \right)
F_{199}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{159}\! \left(x , y\right)
F_{200}\! \left(x \right) = F_{201}\! \left(x , 1\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x \right)+F_{203}\! \left(x , y\right)
F_{202}\! \left(x \right) = F_{141}\! \left(x , 1\right)
F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{202}\! \left(x \right) F_{205}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{206}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{205}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{201}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{209}\! \left(x \right)+F_{228}\! \left(x , y\right)
F_{209}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{189}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{16}\! \left(x \right) F_{200}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{153}\! \left(x \right)
F_{216}\! \left(x \right) = F_{155}\! \left(x \right)+F_{217}\! \left(x \right)+F_{7}\! \left(x \right)
F_{217}\! \left(x \right) = F_{16}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = -F_{220}\! \left(x \right)+F_{119}\! \left(x \right)
F_{220}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{116}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{177}\! \left(x , y\right)+F_{225}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{226}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{229}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{201}\! \left(x , y\right) F_{215}\! \left(x \right) F_{61}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{230}\! \left(x , y\right)+F_{264}\! \left(x \right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)
F_{232}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{200}\! \left(x \right) F_{233}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{233}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{235}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{252}\! \left(x , y\right)+F_{254}\! \left(x , y\right)+F_{255}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{236}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{237}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{188}\! \left(x \right)+F_{238}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = y F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{241}\! \left(x \right) = -F_{247}\! \left(x \right)-F_{249}\! \left(x \right)-F_{250}\! \left(x \right)-F_{7}\! \left(x \right)+F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{100}\! \left(x \right)+F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{179}\! \left(x , 1\right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{16}\! \left(x \right) F_{242}\! \left(x \right)
F_{249}\! \left(x \right) = F_{16}\! \left(x \right) F_{9}\! \left(x \right)
F_{250}\! \left(x \right) = F_{16}\! \left(x \right) F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{194}\! \left(x \right)
F_{252}\! \left(x , y\right) = F_{253}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{235}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{254}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{255}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{256}\! \left(x , y\right)
F_{256}\! \left(x , y\right) = F_{257}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{257}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{258}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{259}\! \left(x , y\right)+F_{260}\! \left(x , y\right)+F_{261}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{186}\! \left(x , y\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = y F_{179}\! \left(x , y\right)
F_{264}\! \left(x \right) = -F_{266}\! \left(x \right)+F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{231}\! \left(x , 1\right)
F_{266}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = \frac{F_{268}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{268}\! \left(x \right) = -F_{212}\! \left(x \right)-F_{282}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{270}\! \left(x \right)+F_{190}\! \left(x \right)
F_{270}\! \left(x \right) = -F_{274}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{209}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{16}\! \left(x \right) F_{200}\! \left(x \right) F_{215}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = \frac{F_{277}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{277}\! \left(x \right) = F_{197}\! \left(x \right)
F_{278}\! \left(x \right) = F_{271}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x , 1\right)
F_{280}\! \left(x , y\right) = F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{205}\! \left(x , y\right) F_{215}\! \left(x \right)
F_{282}\! \left(x \right) = F_{16}\! \left(x \right) F_{269}\! \left(x \right)
F_{283}\! \left(x \right) = F_{170}\! \left(x , 1\right)
F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = -\frac{-F_{108}\! \left(x , y\right)+F_{108}\! \left(x , 1\right)}{-1+y}
F_{286}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{287}\! \left(x , y\right)
F_{287}\! \left(x , y\right) = F_{182}\! \left(x \right)+F_{288}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = F_{289}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = y F_{242}\! \left(x \right)
F_{290}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{292}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = -\frac{-F_{103}\! \left(x , y\right) y +F_{103}\! \left(x , 1\right)}{-1+y}
F_{293}\! \left(x , y\right) = y F_{294}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{296}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{296}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{195}\! \left(x , y\right)
F_{298}\! \left(x \right) = F_{299}\! \left(x , 1\right)
F_{300}\! \left(x , y\right) = -\frac{y \left(F_{299}\! \left(x , 1\right)-F_{299}\! \left(x , y\right)\right)}{-1+y}
F_{301}\! \left(x , y\right) = F_{101}\! \left(x \right)+F_{300}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = -\frac{-F_{302}\! \left(x , y\right) y +F_{302}\! \left(x , 1\right)}{-1+y}
F_{302}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{294}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{304}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{305}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{303}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{306}\! \left(x , y\right) = F_{307}\! \left(x , y\right)
F_{307}\! \left(x , y\right) = F_{303}\! \left(x , y\right)^{2} F_{100}\! \left(x \right) F_{61}\! \left(x , y\right)
F_{308}\! \left(x \right) = F_{309}\! \left(x , 1\right)
F_{309}\! \left(x , y\right) = F_{310}\! \left(x , y\right)
F_{310}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{311}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{312}\! \left(x , y\right)+F_{389}\! \left(x \right)
F_{312}\! \left(x , y\right) = F_{313}\! \left(x , y\right) F_{327}\! \left(x \right)
F_{314}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{313}\! \left(x , y\right)
F_{314}\! \left(x , y\right) = F_{315}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{315}\! \left(x , y\right)+F_{316}\! \left(x , y\right)+F_{325}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{318}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{318}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{320}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{320}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{321}\! \left(x , y\right)+F_{322}\! \left(x , y\right)+F_{323}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{322}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{323}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = -\frac{-F_{122}\! \left(x , y\right) y +F_{122}\! \left(x , 1\right)}{-1+y}
F_{325}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{326}\! \left(x , y\right)
F_{326}\! \left(x , y\right) = -\frac{-F_{120}\! \left(x , y\right) y +F_{120}\! \left(x , 1\right)}{-1+y}
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)+F_{52}\! \left(x \right)
F_{328}\! \left(x \right) = F_{329}\! \left(x \right)+F_{332}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{16}\! \left(x \right) F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{1}\! \left(x \right)+F_{329}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)+F_{348}\! \left(x \right)+F_{7}\! \left(x \right)
F_{333}\! \left(x \right) = F_{16}\! \left(x \right) F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{12}\! \left(x \right)+F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{16}\! \left(x \right) F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{341}\! \left(x \right)
F_{338}\! \left(x \right) = F_{329}\! \left(x \right)+F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{16}\! \left(x \right) F_{329}\! \left(x \right)
F_{341}\! \left(x \right) = F_{335}\! \left(x \right)+F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{343}\! \left(x \right)+F_{347}\! \left(x \right)
F_{343}\! \left(x \right) = F_{16}\! \left(x \right) F_{344}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{339}\! \left(x \right)
F_{346}\! \left(x \right) = F_{342}\! \left(x \right)
F_{347}\! \left(x \right) = F_{16}\! \left(x \right) F_{335}\! \left(x \right)
F_{348}\! \left(x \right) = F_{16}\! \left(x \right) F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{362}\! \left(x \right)
F_{350}\! \left(x \right) = F_{329}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)+F_{354}\! \left(x \right)+F_{7}\! \left(x \right)
F_{352}\! \left(x \right) = F_{16}\! \left(x \right) F_{353}\! \left(x \right)
F_{353}\! \left(x \right) = F_{16}\! \left(x \right)+F_{339}\! \left(x \right)
F_{354}\! \left(x \right) = F_{16}\! \left(x \right) F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{338}\! \left(x \right)+F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{351}\! \left(x \right)+F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{358}\! \left(x \right)+F_{361}\! \left(x \right)
F_{358}\! \left(x \right) = F_{16}\! \left(x \right) F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{345}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{357}\! \left(x \right)
F_{361}\! \left(x \right) = F_{16}\! \left(x \right) F_{351}\! \left(x \right)
F_{362}\! \left(x \right) = F_{332}\! \left(x \right)+F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{366}\! \left(x \right)+F_{385}\! \left(x \right)+F_{7}\! \left(x \right)
F_{364}\! \left(x \right) = F_{16}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{18}\! \left(x \right)+F_{342}\! \left(x \right)
F_{366}\! \left(x \right) = F_{16}\! \left(x \right) F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)+F_{372}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)+F_{370}\! \left(x \right)
F_{369}\! \left(x \right) = F_{340}\! \left(x \right)+F_{352}\! \left(x \right)+F_{7}\! \left(x \right)
F_{370}\! \left(x \right) = F_{358}\! \left(x \right)+F_{361}\! \left(x \right)+F_{371}\! \left(x \right)+F_{7}\! \left(x \right)
F_{371}\! \left(x \right) = 0
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{375}\! \left(x \right)
F_{373}\! \left(x \right) = F_{364}\! \left(x \right)+F_{366}\! \left(x \right)+F_{374}\! \left(x \right)+F_{7}\! \left(x \right)
F_{374}\! \left(x \right) = F_{16}\! \left(x \right) F_{332}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{377}\! \left(x \right)+F_{378}\! \left(x \right)+F_{384}\! \left(x \right)+F_{7}\! \left(x \right)
F_{376}\! \left(x \right) = 0
F_{377}\! \left(x \right) = 0
F_{378}\! \left(x \right) = F_{16}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{382}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{374}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = 3 F_{7}\! \left(x \right)+F_{378}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{16}\! \left(x \right) F_{363}\! \left(x \right)
F_{385}\! \left(x \right) = F_{16}\! \left(x \right) F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)+F_{388}\! \left(x \right)
F_{387}\! \left(x \right) = F_{332}\! \left(x \right)+F_{381}\! \left(x \right)
F_{388}\! \left(x \right) = F_{363}\! \left(x \right)+F_{383}\! \left(x \right)
F_{389}\! \left(x \right) = F_{390}\! \left(x \right)
F_{390}\! \left(x \right) = F_{16}\! \left(x \right) F_{331}\! \left(x \right) F_{391}\! \left(x \right) F_{392}\! \left(x \right)
F_{391}\! \left(x \right) = F_{177}\! \left(x , 1\right)
F_{392}\! \left(x \right) = \frac{F_{393}\! \left(x \right)}{F_{16}\! \left(x \right) F_{331}\! \left(x \right) F_{9}\! \left(x \right)}
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = -F_{411}\! \left(x \right)+F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{409}\! \left(x \right)
F_{396}\! \left(x \right) = -F_{404}\! \left(x \right)+F_{397}\! \left(x \right)
F_{397}\! \left(x \right) = F_{398}\! \left(x \right)+F_{402}\! \left(x \right)
F_{398}\! \left(x \right) = F_{399}\! \left(x \right)+F_{400}\! \left(x \right)
F_{399}\! \left(x \right) = F_{100}\! \left(x \right) F_{327}\! \left(x \right)
F_{400}\! \left(x \right) = F_{401}\! \left(x \right)
F_{401}\! \left(x \right) = F_{16}\! \left(x \right) F_{327}\! \left(x \right) F_{391}\! \left(x \right)
F_{402}\! \left(x \right) = F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{96}\! \left(x , 1\right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{407}\! \left(x \right)
F_{406}\! \left(x \right) = F_{242}\! \left(x \right) F_{327}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{16}\! \left(x \right) F_{242}\! \left(x \right) F_{331}\! \left(x \right) F_{392}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{246}\! \left(x \right) F_{327}\! \left(x \right)
F_{411}\! \left(x \right) = F_{412}\! \left(x \right)+F_{413}\! \left(x \right)
F_{412}\! \left(x \right) = F_{182}\! \left(x \right) F_{327}\! \left(x \right)
F_{413}\! \left(x \right) = F_{401}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x , 1\right)
F_{415}\! \left(x , y\right) = F_{416}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{416}\! \left(x , y\right) = F_{417}\! \left(x , y\right)+F_{427}\! \left(x , y\right)
F_{417}\! \left(x , y\right) = F_{415}\! \left(x , y\right)+F_{418}\! \left(x , y\right)+F_{425}\! \left(x , y\right)+F_{52}\! \left(x \right)
F_{418}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{419}\! \left(x , y\right)
F_{419}\! \left(x , y\right) = F_{309}\! \left(x , y\right)+F_{420}\! \left(x , y\right)
F_{420}\! \left(x , y\right) = F_{421}\! \left(x , y\right)+F_{422}\! \left(x , y\right)
F_{421}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{52}\! \left(x \right)
F_{422}\! \left(x , y\right) = F_{423}\! \left(x , y\right)
F_{423}\! \left(x , y\right) = F_{394}\! \left(x \right)+F_{424}\! \left(x , y\right)
F_{424}\! \left(x , y\right) = y F_{407}\! \left(x \right)
F_{425}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{426}\! \left(x , y\right)
F_{426}\! \left(x , y\right) = -\frac{-y F_{417}\! \left(x , y\right)+F_{417}\! \left(x , 1\right)}{-1+y}
F_{427}\! \left(x , y\right) = y F_{428}\! \left(x , y\right)
F_{428}\! \left(x , y\right) = F_{429}\! \left(x , y\right)
F_{429}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{430}\! \left(x , y\right)
F_{431}\! \left(x , y\right) = F_{430}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{431}\! \left(x , y\right) = F_{432}\! \left(x , y\right)
F_{433}\! \left(x , y\right) = -\frac{y \left(F_{432}\! \left(x , 1\right)-F_{432}\! \left(x , y\right)\right)}{-1+y}
F_{426}\! \left(x , y\right) = F_{433}\! \left(x , y\right)+F_{51}\! \left(x \right)
F_{434}\! \left(x \right) = F_{16}\! \left(x \right) F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{426}\! \left(x , 1\right)
F_{436}\! \left(x \right) = F_{16}\! \left(x \right) F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{202}\! \left(x \right)+F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{122}\! \left(x , 1\right)
F_{439}\! \left(x \right) = F_{16}\! \left(x \right) F_{438}\! \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_16(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_439(x) + F_7(x) + F_8(x))
Eq(F_7(x), 0)
Eq(F_8(x), F_16(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_47(x))
Eq(F_10(x), F_11(x) + F_24(x))
Eq(F_11(x), F_1(x) + F_12(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_16(x))
Eq(F_14(x), F_15(x) + F_17(x))
Eq(F_15(x), F_1(x) + F_16(x))
Eq(F_16(x), x)
Eq(F_17(x), F_12(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_23(x) + F_7(x))
Eq(F_19(x), F_16(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_16(x))
Eq(F_22(x), F_18(x))
Eq(F_23(x), F_12(x)*F_16(x))
Eq(F_24(x), F_25(x) + F_27(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_10(x)*F_16(x))
Eq(F_27(x), F_28(x) + F_43(x) + F_7(x))
Eq(F_28(x), F_16(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), F_16(x) + F_18(x))
Eq(F_31(x), F_32(x) + F_34(x))
Eq(F_32(x), F_28(x) + F_33(x) + F_7(x))
Eq(F_33(x), F_16(x)*F_25(x))
Eq(F_34(x), F_35(x) + F_36(x) + F_42(x) + F_7(x))
Eq(F_35(x), 0)
Eq(F_36(x), F_16(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_40(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_33(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_36(x) + F_42(x) + 2*F_7(x))
Eq(F_42(x), F_16(x)*F_27(x))
Eq(F_43(x), F_16(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_46(x))
Eq(F_45(x), F_25(x) + F_39(x))
Eq(F_46(x), F_27(x) + F_41(x))
Eq(F_47(x), F_48(x)/F_16(x))
Eq(F_48(x), -F_436(x) + F_49(x) - F_7(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_16(x)*F_51(x))
Eq(F_51(x), F_414(x) + F_434(x) + F_52(x) + F_53(x))
Eq(F_52(x), F_1(x) + F_25(x))
Eq(F_53(x), F_16(x)*F_54(x))
Eq(F_54(x), F_308(x) + F_55(x))
Eq(F_55(x), F_56(x, 1))
Eq(F_56(x, k_0), F_57(x, k_0) + F_96(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0)*F_9(x))
Eq(F_58(x, k_0), F_1(x) + F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0)*F_62(x, k_0))
Eq(F_61(x, k_0), k_0*x)
Eq(F_62(x, k_0), F_63(x, k_0) + F_75(x, k_0))
Eq(F_63(x, k_0), F_1(x) + F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_61(x, k_0)*F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0) + F_68(x, k_0))
Eq(F_67(x, k_0), F_1(x) + F_61(x, k_0))
Eq(F_68(x, k_0), F_64(x, k_0) + F_69(x, k_0))
Eq(F_69(x, k_0), F_7(x) + F_70(x, k_0) + F_74(x, k_0))
Eq(F_70(x, k_0), F_61(x, k_0)*F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0) + F_73(x, k_0))
Eq(F_72(x, k_0), F_61(x, k_0))
Eq(F_73(x, k_0), F_69(x, k_0))
Eq(F_74(x, k_0), F_61(x, k_0)*F_64(x, k_0))
Eq(F_75(x, k_0), F_59(x, k_0) + F_76(x, k_0))
Eq(F_76(x, k_0), F_7(x) + F_77(x, k_0) + F_86(x, k_0))
Eq(F_77(x, k_0), F_61(x, k_0)*F_78(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0) + F_81(x, k_0))
Eq(F_79(x, k_0), F_61(x, k_0) + F_80(x, k_0))
Eq(F_80(x, k_0), F_74(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0) + F_84(x, k_0))
Eq(F_82(x, k_0), F_7(x) + F_77(x, k_0) + F_83(x, k_0))
Eq(F_83(x, k_0), F_59(x, k_0)*F_61(x, k_0))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_85(x, k_0), F_61(x, k_0)*F_76(x, k_0))
Eq(F_86(x, k_0), F_61(x, k_0)*F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0) + F_89(x, k_0))
Eq(F_88(x, k_0), F_59(x, k_0) + F_82(x, k_0))
Eq(F_89(x, k_0), F_76(x, k_0) + F_90(x, k_0))
Eq(F_90(x, k_0), F_7(x) + F_85(x, k_0) + F_91(x, k_0) + F_92(x, k_0))
Eq(F_91(x, k_0), 0)
Eq(F_92(x, k_0), F_61(x, k_0)*F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0) + F_95(x, k_0))
Eq(F_94(x, k_0), F_82(x, k_0))
Eq(F_95(x, k_0), F_90(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_61(x, k_0)*F_62(x, k_0)*F_98(x, k_0))
Eq(F_98(x, k_0), F_306(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x)*F_303(x, k_0))
Eq(F_100(x), F_101(x) - F_298(x))
Eq(F_101(x), F_102(x, 1))
Eq(F_102(x, k_0), F_103(x, k_0) + F_293(x, k_0))
Eq(F_103(x, k_0), F_1(x) + F_104(x, k_0) + F_286(x, k_0) + F_290(x, k_0) + F_291(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0)*F_16(x))
Eq(F_105(x, k_0), F_106(x, k_0) + F_284(x, k_0))
Eq(F_106(x, k_0), (k_0*F_107(x, k_0) - F_107(x, 1))/(k_0 - 1))
Eq(F_107(x, k_0), F_108(x, k_0) + F_4(x))
Eq(F_109(x, k_0), -F_108(x, k_0) + (-k_0*F_108(x, k_0) + F_108(x, 1))/(1 - k_0))
Eq(F_109(x, k_0), F_110(x, k_0))
Eq(F_110(x, k_0), (-k_0*F_111(x, k_0) + F_111(x, 1))/(1 - k_0))
Eq(F_111(x, k_0), F_112(x) + F_158(x, k_0))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_16(x))
Eq(F_114(x), F_115(x) + F_152(x) + F_4(x))
Eq(F_115(x), F_116(x) - F_118(x) - F_4(x))
Eq(F_116(x), F_117(x)/F_16(x))
Eq(F_117(x), F_6(x))
Eq(F_118(x), F_119(x)*F_16(x))
Eq(F_119(x), F_120(x, 1))
Eq(F_121(x, k_0), F_120(x, k_0)*F_16(x))
Eq(F_121(x, k_0), F_122(x, k_0))
Eq(F_123(x, k_0), F_122(x, k_0) + F_141(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0) + F_4(x))
Eq(F_124(x, k_0), F_125(x, k_0) + F_127(x, k_0) + F_139(x, k_0) + F_7(x))
Eq(F_125(x, k_0), F_126(x, k_0)*F_16(x))
Eq(F_126(x, k_0), -F_108(x, 1) + (k_0*F_108(x, k_0) - F_108(x, 1))/(k_0 - 1))
Eq(F_127(x, k_0), F_128(x, k_0)*F_61(x, k_0))
Eq(F_128(x, k_0), F_123(x, k_0) + F_129(x, k_0))
Eq(F_129(x, k_0), k_0*F_130(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_133(x, k_0) + F_135(x, k_0) + F_136(x, k_0) + F_7(x))
Eq(F_131(x, k_0), F_132(x, k_0)*F_16(x))
Eq(F_132(x, k_0), (k_0*F_111(x, k_0) - F_111(x, 1))/(k_0 - 1))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_130(x, k_0)*F_61(x, k_0))
Eq(F_135(x, k_0), F_123(x, k_0)*F_16(x))
Eq(F_136(x, k_0), F_137(x, k_0)*F_16(x))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), -F_124(x, k_0) + (-k_0*F_124(x, k_0) + F_124(x, 1))/(1 - k_0))
Eq(F_139(x, k_0), F_140(x, k_0)*F_16(x))
Eq(F_140(x, k_0), -F_124(x, 1) + (-k_0*F_124(x, k_0) + F_124(x, 1))/(1 - k_0))
Eq(F_141(x, k_0), F_142(x, k_0) + F_5(x))
Eq(F_142(x, k_0), F_143(x, k_0) + F_150(x, k_0) + F_7(x))
Eq(F_143(x, k_0), F_144(x, k_0)*F_61(x, k_0))
Eq(F_144(x, k_0), F_141(x, k_0) + F_145(x, k_0))
Eq(F_145(x, k_0), k_0*F_146(x, k_0))
Eq(F_146(x, k_0), F_147(x, k_0))
Eq(F_147(x, k_0), F_148(x, k_0)*F_16(x))
Eq(F_149(x, k_0), F_148(x, k_0)*F_61(x, k_0))
Eq(F_149(x, k_0), F_142(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0)*F_16(x))
Eq(F_151(x, k_0), -F_142(x, 1) + (-k_0*F_142(x, k_0) + F_142(x, 1))/(1 - k_0))
Eq(F_152(x), F_153(x) - F_155(x) - F_4(x))
Eq(F_153(x), F_154(x)/F_16(x))
Eq(F_154(x), F_49(x))
Eq(F_155(x), F_156(x)*F_16(x))
Eq(F_156(x), F_157(x)/F_16(x))
Eq(F_157(x), F_47(x))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0)*F_61(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0) + F_280(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_16(x)*F_164(x, k_0))
Eq(F_165(x, k_0), F_164(x, k_0)*F_61(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_108(x, k_0) + F_167(x, k_0) + F_168(x, k_0))
Eq(F_167(x, k_0), F_166(x, k_0)*F_61(x, k_0))
Eq(F_168(x, k_0), F_16(x)*F_169(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0) + F_230(x, k_0))
Eq(F_171(x, k_0), F_170(x, k_0) + F_208(x, k_0))
Eq(F_172(x, k_0), F_171(x, k_0) + F_175(x, k_0))
Eq(F_173(x, k_0), F_172(x, k_0)*F_61(x, k_0))
Eq(F_173(x, k_0), F_174(x, k_0))
Eq(F_174(x, k_0), -F_108(x, 1) + (-k_0*F_108(x, k_0) + F_108(x, 1))/(1 - k_0))
Eq(F_175(x, k_0), F_176(x, k_0))
Eq(F_176(x, k_0), F_16(x)*F_177(x, k_0)*F_200(x))
Eq(F_178(x, k_0), F_16(x)*F_177(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0))
Eq(F_180(x, k_0), F_107(x, k_0) + F_179(x, k_0))
Eq(F_180(x, k_0), F_181(x) + F_199(x, k_0))
Eq(F_181(x), F_182(x) - F_196(x))
Eq(F_182(x), F_183(x)/F_16(x))
Eq(F_183(x), -F_1(x) - F_184(x) - F_192(x) + F_9(x))
Eq(F_184(x), F_16(x)*F_185(x))
Eq(F_185(x), F_186(x, 1))
Eq(F_186(x, k_0), F_187(x, k_0) + F_9(x))
Eq(F_187(x, k_0), k_0*F_188(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_16(x)*F_190(x))
Eq(F_190(x), F_191(x)/F_16(x))
Eq(F_191(x), F_115(x))
Eq(F_192(x), F_16(x)*F_193(x))
Eq(F_193(x), F_194(x) + F_9(x))
Eq(F_194(x), F_195(x, 1))
Eq(F_103(x, k_0), F_195(x, k_0) + F_9(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_185(x) - F_198(x))
Eq(F_198(x), F_112(x) + F_4(x))
Eq(F_199(x, k_0), F_108(x, k_0) + F_159(x, k_0))
Eq(F_200(x), F_201(x, 1))
Eq(F_201(x, k_0), F_202(x) + F_203(x, k_0))
Eq(F_202(x), F_141(x, 1))
Eq(F_203(x, k_0), F_204(x, k_0))
Eq(F_204(x, k_0), F_202(x)*F_205(x, k_0)*F_61(x, k_0))
Eq(F_205(x, k_0), F_1(x) + F_206(x, k_0) + F_207(x, k_0))
Eq(F_206(x, k_0), F_205(x, k_0)*F_61(x, k_0))
Eq(F_207(x, k_0), F_16(x)*F_201(x, k_0))
Eq(F_208(x, k_0), F_209(x) + F_228(x, k_0))
Eq(F_209(x), F_210(x) - F_213(x))
Eq(F_210(x), F_211(x)/F_16(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_189(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_16(x)*F_200(x)*F_215(x))
Eq(F_215(x), F_153(x) - F_216(x))
Eq(F_216(x), F_155(x) + F_217(x) + F_7(x))
Eq(F_217(x), F_16(x)*F_218(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_119(x) - F_220(x))
Eq(F_220(x), F_221(x)/F_16(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_223(x) - F_4(x))
Eq(F_223(x), F_116(x) - F_224(x))
Eq(F_224(x), F_225(x, k_0))
Eq(F_226(x, k_0), F_177(x, k_0) + F_225(x, k_0))
Eq(F_227(x, k_0), F_226(x, k_0)*F_61(x, k_0))
Eq(F_227(x, k_0), F_108(x, k_0))
Eq(F_228(x, k_0), F_229(x, k_0))
Eq(F_229(x, k_0), F_201(x, k_0)*F_215(x)*F_61(x, k_0))
Eq(F_231(x, k_0), F_230(x, k_0) + F_264(x))
Eq(F_231(x, k_0), F_232(x, k_0))
Eq(F_232(x, k_0), F_16(x)*F_200(x)*F_233(x, k_0))
Eq(F_234(x, k_0), F_16(x)*F_233(x, k_0))
Eq(F_234(x, k_0), F_235(x, k_0))
Eq(F_235(x, k_0), F_236(x, k_0) + F_252(x, k_0) + F_254(x, k_0) + F_255(x, k_0) + F_7(x))
Eq(F_236(x, k_0), F_16(x)*F_237(x, k_0))
Eq(F_237(x, k_0), F_188(x) + F_238(x, k_0))
Eq(F_238(x, k_0), k_0*F_239(x))
Eq(F_239(x), -F_188(x) + F_240(x))
Eq(F_240(x), F_241(x)/F_16(x))
Eq(F_241(x), F_242(x) - F_247(x) - F_249(x) - F_250(x) - F_7(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), -F_182(x) + F_244(x))
Eq(F_244(x), F_100(x) + F_245(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_179(x, 1))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_16(x)*F_242(x))
Eq(F_249(x), F_16(x)*F_9(x))
Eq(F_250(x), F_16(x)*F_251(x))
Eq(F_251(x), F_194(x))
Eq(F_252(x, k_0), F_253(x, k_0))
Eq(F_253(x, k_0), F_235(x, k_0)*F_61(x, k_0))
Eq(F_254(x, k_0), F_107(x, k_0)*F_16(x))
Eq(F_255(x, k_0), F_16(x)*F_256(x, k_0))
Eq(F_256(x, k_0), F_257(x, k_0))
Eq(F_258(x, k_0), F_107(x, k_0) + F_257(x, k_0))
Eq(F_259(x, k_0), F_16(x)*F_258(x, k_0))
Eq(F_107(x, k_0), F_1(x) + F_259(x, k_0) + F_260(x, k_0) + F_261(x, k_0))
Eq(F_260(x, k_0), F_16(x)*F_186(x, k_0))
Eq(F_261(x, k_0), F_262(x, k_0)*F_61(x, k_0))
Eq(F_262(x, k_0), F_107(x, k_0) + F_263(x, k_0))
Eq(F_263(x, k_0), k_0*F_179(x, k_0))
Eq(F_264(x), F_265(x) - F_266(x))
Eq(F_265(x), F_231(x, 1))
Eq(F_266(x), F_267(x) - F_283(x))
Eq(F_267(x), F_268(x)/F_16(x))
Eq(F_268(x), -F_212(x) + F_269(x) - F_282(x))
Eq(F_269(x), F_190(x) - F_270(x))
Eq(F_270(x), F_271(x) - F_274(x))
Eq(F_271(x), F_209(x) + F_272(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_16(x)*F_200(x)*F_215(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x) - F_278(x))
Eq(F_276(x), F_277(x)/F_16(x))
Eq(F_277(x), F_197(x))
Eq(F_278(x), F_271(x) + F_279(x))
Eq(F_279(x), F_280(x, 1))
Eq(F_280(x, k_0), F_281(x, k_0))
Eq(F_281(x, k_0), F_16(x)*F_205(x, k_0)*F_215(x))
Eq(F_282(x), F_16(x)*F_269(x))
Eq(F_283(x), F_170(x, 1))
Eq(F_284(x, k_0), F_285(x, k_0))
Eq(F_285(x, k_0), -F_108(x, k_0) + (k_0*F_108(x, k_0) - F_108(x, 1))/(k_0 - 1))
Eq(F_286(x, k_0), F_16(x)*F_287(x, k_0))
Eq(F_287(x, k_0), F_182(x) + F_288(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0))
Eq(F_289(x, k_0), k_0*F_242(x))
Eq(F_290(x, k_0), F_102(x, k_0)*F_61(x, k_0))
Eq(F_291(x, k_0), F_16(x)*F_292(x, k_0))
Eq(F_292(x, k_0), (-k_0*F_103(x, k_0) + F_103(x, 1))/(1 - k_0))
Eq(F_293(x, k_0), k_0*F_294(x, k_0))
Eq(F_294(x, k_0), F_295(x, k_0))
Eq(F_295(x, k_0), F_16(x)*F_296(x, k_0))
Eq(F_297(x, k_0), F_296(x, k_0)*F_61(x, k_0))
Eq(F_297(x, k_0), F_195(x, k_0))
Eq(F_298(x), F_299(x, 1))
Eq(F_300(x, k_0), -F_299(x, 1) + (-k_0*F_299(x, k_0) + F_299(x, 1))/(1 - k_0))
Eq(F_301(x, k_0), F_101(x) + F_300(x, k_0))
Eq(F_301(x, k_0), (-k_0*F_302(x, k_0) + F_302(x, 1))/(1 - k_0))
Eq(F_302(x, k_0), F_103(x, k_0) + F_294(x, k_0))
Eq(F_303(x, k_0), F_1(x) + F_304(x, k_0))
Eq(F_304(x, k_0), F_305(x, k_0))
Eq(F_305(x, k_0), F_303(x, k_0)*F_61(x, k_0))
Eq(F_306(x, k_0), F_307(x, k_0))
Eq(F_307(x, k_0), F_100(x)*F_303(x, k_0)**2*F_61(x, k_0))
Eq(F_308(x), F_309(x, 1))
Eq(F_309(x, k_0), F_310(x, k_0))
Eq(F_310(x, k_0), F_16(x)*F_311(x, k_0))
Eq(F_311(x, k_0), F_312(x, k_0) + F_389(x))
Eq(F_312(x, k_0), F_313(x, k_0)*F_327(x))
Eq(F_314(x, k_0), F_16(x)*F_313(x, k_0))
Eq(F_314(x, k_0), F_315(x, k_0))
Eq(F_120(x, k_0), F_107(x, k_0) + F_315(x, k_0) + F_316(x, k_0) + F_325(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0))
Eq(F_317(x, k_0), F_318(x, k_0)*F_61(x, k_0))
Eq(F_319(x, k_0), F_16(x)*F_318(x, k_0))
Eq(F_319(x, k_0), F_320(x, k_0))
Eq(F_321(x, k_0), F_320(x, k_0)*F_61(x, k_0))
Eq(F_122(x, k_0), F_321(x, k_0) + F_322(x, k_0) + F_323(x, k_0) + F_7(x))
Eq(F_322(x, k_0), F_106(x, k_0)*F_16(x))
Eq(F_323(x, k_0), F_16(x)*F_324(x, k_0))
Eq(F_324(x, k_0), (-k_0*F_122(x, k_0) + F_122(x, 1))/(1 - k_0))
Eq(F_325(x, k_0), F_16(x)*F_326(x, k_0))
Eq(F_326(x, k_0), (-k_0*F_120(x, k_0) + F_120(x, 1))/(1 - k_0))
Eq(F_327(x), F_328(x) + F_52(x))
Eq(F_328(x), F_329(x) + F_332(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_16(x)*F_331(x))
Eq(F_331(x), F_1(x) + F_329(x))
Eq(F_332(x), F_333(x) + F_348(x) + F_7(x))
Eq(F_333(x), F_16(x)*F_334(x))
Eq(F_334(x), F_12(x) + F_335(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_16(x)*F_337(x))
Eq(F_337(x), F_338(x) + F_341(x))
Eq(F_338(x), F_329(x) + F_339(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_16(x)*F_329(x))
Eq(F_341(x), F_335(x) + F_342(x))
Eq(F_342(x), F_343(x) + F_347(x) + 2*F_7(x))
Eq(F_343(x), F_16(x)*F_344(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_339(x))
Eq(F_346(x), F_342(x))
Eq(F_347(x), F_16(x)*F_335(x))
Eq(F_348(x), F_16(x)*F_349(x))
Eq(F_349(x), F_350(x) + F_362(x))
Eq(F_350(x), F_329(x) + F_351(x))
Eq(F_351(x), F_352(x) + F_354(x) + F_7(x))
Eq(F_352(x), F_16(x)*F_353(x))
Eq(F_353(x), F_16(x) + F_339(x))
Eq(F_354(x), F_16(x)*F_355(x))
Eq(F_355(x), F_338(x) + F_356(x))
Eq(F_356(x), F_351(x) + F_357(x))
Eq(F_357(x), F_358(x) + F_361(x) + 2*F_7(x))
Eq(F_358(x), F_16(x)*F_359(x))
Eq(F_359(x), F_345(x) + F_360(x))
Eq(F_360(x), F_357(x))
Eq(F_361(x), F_16(x)*F_351(x))
Eq(F_362(x), F_332(x) + F_363(x))
Eq(F_363(x), F_364(x) + F_366(x) + F_385(x) + F_7(x))
Eq(F_364(x), F_16(x)*F_365(x))
Eq(F_365(x), F_18(x) + F_342(x))
Eq(F_366(x), F_16(x)*F_367(x))
Eq(F_367(x), F_368(x) + F_372(x))
Eq(F_368(x), F_369(x) + F_370(x))
Eq(F_369(x), F_340(x) + F_352(x) + F_7(x))
Eq(F_370(x), F_358(x) + F_361(x) + F_371(x) + F_7(x))
Eq(F_371(x), 0)
Eq(F_372(x), F_373(x) + F_375(x))
Eq(F_373(x), F_364(x) + F_366(x) + F_374(x) + F_7(x))
Eq(F_374(x), F_16(x)*F_332(x))
Eq(F_375(x), F_376(x) + F_377(x) + F_378(x) + F_384(x) + F_7(x))
Eq(F_376(x), 0)
Eq(F_377(x), 0)
Eq(F_378(x), F_16(x)*F_379(x))
Eq(F_379(x), F_380(x) + F_382(x))
Eq(F_380(x), F_381(x))
Eq(F_381(x), F_374(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_378(x) + F_384(x) + 3*F_7(x))
Eq(F_384(x), F_16(x)*F_363(x))
Eq(F_385(x), F_16(x)*F_386(x))
Eq(F_386(x), F_387(x) + F_388(x))
Eq(F_387(x), F_332(x) + F_381(x))
Eq(F_388(x), F_363(x) + F_383(x))
Eq(F_389(x), F_390(x))
Eq(F_390(x), F_16(x)*F_331(x)*F_391(x)*F_392(x))
Eq(F_391(x), F_177(x, 1))
Eq(F_392(x), F_393(x)/(F_16(x)*F_331(x)*F_9(x)))
Eq(F_393(x), F_394(x))
Eq(F_394(x), F_395(x) - F_411(x))
Eq(F_395(x), F_396(x) + F_409(x))
Eq(F_396(x), F_397(x) - F_404(x))
Eq(F_397(x), F_398(x) + F_402(x))
Eq(F_398(x), F_399(x) + F_400(x))
Eq(F_399(x), F_100(x)*F_327(x))
Eq(F_400(x), F_401(x))
Eq(F_401(x), F_16(x)*F_327(x)*F_391(x))
Eq(F_402(x), F_403(x))
Eq(F_403(x), F_96(x, 1))
Eq(F_404(x), F_405(x))
Eq(F_405(x), F_406(x) + F_407(x))
Eq(F_406(x), F_242(x)*F_327(x))
Eq(F_407(x), F_408(x))
Eq(F_408(x), F_16(x)*F_242(x)*F_331(x)*F_392(x))
Eq(F_409(x), F_410(x))
Eq(F_410(x), F_246(x)*F_327(x))
Eq(F_411(x), F_412(x) + F_413(x))
Eq(F_412(x), F_182(x)*F_327(x))
Eq(F_413(x), F_401(x))
Eq(F_414(x), F_415(x, 1))
Eq(F_415(x, k_0), F_416(x, k_0)*F_61(x, k_0))
Eq(F_416(x, k_0), F_417(x, k_0) + F_427(x, k_0))
Eq(F_417(x, k_0), F_415(x, k_0) + F_418(x, k_0) + F_425(x, k_0) + F_52(x))
Eq(F_418(x, k_0), F_16(x)*F_419(x, k_0))
Eq(F_419(x, k_0), F_309(x, k_0) + F_420(x, k_0))
Eq(F_420(x, k_0), F_421(x, k_0) + F_422(x, k_0))
Eq(F_421(x, k_0), F_107(x, k_0)*F_52(x))
Eq(F_422(x, k_0), F_423(x, k_0))
Eq(F_423(x, k_0), F_394(x) + F_424(x, k_0))
Eq(F_424(x, k_0), k_0*F_407(x))
Eq(F_425(x, k_0), F_16(x)*F_426(x, k_0))
Eq(F_426(x, k_0), (-k_0*F_417(x, k_0) + F_417(x, 1))/(1 - k_0))
Eq(F_427(x, k_0), k_0*F_428(x, k_0))
Eq(F_428(x, k_0), F_429(x, k_0))
Eq(F_429(x, k_0), F_16(x)*F_430(x, k_0))
Eq(F_431(x, k_0), F_430(x, k_0)*F_61(x, k_0))
Eq(F_431(x, k_0), F_432(x, k_0))
Eq(F_433(x, k_0), -F_432(x, 1) + (-k_0*F_432(x, k_0) + F_432(x, 1))/(1 - k_0))
Eq(F_426(x, k_0), F_433(x, k_0) + F_51(x))
Eq(F_434(x), F_16(x)*F_435(x))
Eq(F_435(x), F_426(x, 1))
Eq(F_436(x), F_16(x)*F_437(x))
Eq(F_437(x), F_202(x) + F_438(x))
Eq(F_438(x), F_122(x, 1))
Eq(F_439(x), F_16(x)*F_438(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 0], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 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[[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [2, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [2, 1], [4, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[5, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[5, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [3, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [3, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [3, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [3, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[3, 1], [3, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[3, 1], [3, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [3, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [3, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 1], [3, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 1], [3, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[3, 1], [3, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [3, 1], [5, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [3, 1], [3, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [3, 1], [4, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [3, 1], [5, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [1, 1], [1, 1], [5, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [4, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 1], [1, 1], [1, 1], [5, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[4, 1]]}], [{"patt": [0], "pos": [[5, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[2, 1]]}], [{"patt": [0], "pos": [[3, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 3], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 4], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 3]]}], [{"patt": [0], "pos": [[1, 4]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}]}]}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25693/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[14,x]*F[4,x]
F[4,x] = F[5,x]+F[6,x]
F[5,x] = 2+F[5,x]^2+(-2+x)*F[5,x]
F[6,x] = F[467,x]+F[7,x]+F[8,x]
F[7,x] = 0
F[8,x] = F[14,x]*F[9,x]
F[9,x] = F[10,x]+F[75,x]
F[10,x] = F[11,x]+F[24,x]
F[11,x] = F[1,x]+F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]*F[15,x]
F[14,x] = x
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[1,x]+F[14,x]
F[17,x] = F[12,x]+F[18,x]
F[18,x] = F[19,x]+F[23,x]+F[7,x]
F[19,x] = F[14,x]*F[20,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[14,x]
F[22,x] = F[18,x]
F[23,x] = F[12,x]*F[14,x]
F[24,x] = F[25,x]+F[49,x]
F[25,x] = F[26,x]
F[26,x] = F[14,x]*F[27,x]
F[27,x] = F[11,x]+F[28,x]
F[28,x] = F[25,x]+F[29,x]
F[29,x] = F[30,x]+F[39,x]+F[7,x]
F[30,x] = F[14,x]*F[31,x]
F[31,x] = F[32,x]+F[34,x]
F[32,x] = F[14,x]+F[33,x]
F[33,x] = F[23,x]
F[34,x] = F[35,x]+F[37,x]
F[35,x] = F[30,x]+F[36,x]+F[7,x]
F[36,x] = F[14,x]*F[25,x]
F[37,x] = F[38,x]
F[38,x] = F[14,x]*F[29,x]
F[39,x] = F[14,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[25,x]+F[35,x]
F[42,x] = F[29,x]+F[43,x]
F[43,x] = F[38,x]+F[44,x]+F[45,x]+F[7,x]
F[44,x] = 0
F[45,x] = F[14,x]*F[46,x]
F[46,x] = F[47,x]+F[48,x]
F[47,x] = F[35,x]
F[48,x] = F[43,x]
F[49,x] = F[50,x]+F[7,x]+F[71,x]
F[50,x] = F[14,x]*F[51,x]
F[51,x] = F[52,x]+F[59,x]
F[52,x] = F[14,x]+F[53,x]
F[53,x] = F[54,x]+F[58,x]+F[7,x]
F[54,x] = F[14,x]*F[55,x]
F[55,x] = F[56,x]+F[57,x]
F[56,x] = F[14,x]
F[57,x] = F[53,x]
F[58,x] = F[12,x]*F[14,x]
F[59,x] = F[60,x]+F[62,x]
F[60,x] = F[50,x]+F[61,x]+F[7,x]
F[61,x] = F[14,x]*F[25,x]
F[62,x] = F[63,x]+F[64,x]+F[7,x]+F[70,x]
F[63,x] = 0
F[64,x] = F[14,x]*F[65,x]
F[65,x] = F[66,x]+F[68,x]
F[66,x] = F[67,x]
F[67,x] = F[61,x]
F[68,x] = F[69,x]
F[69,x] = 2*F[7,x]+F[64,x]+F[70,x]
F[70,x] = F[14,x]*F[49,x]
F[71,x] = F[14,x]*F[72,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[25,x]+F[67,x]
F[74,x] = F[49,x]+F[69,x]
F[75,x] = 1/F[14,x]*F[76,x]
F[76,x] = -F[464,x]-F[7,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[14,x]*F[79,x]
F[79,x] = F[442,x]+F[462,x]+F[80,x]+F[81,x]
F[80,x] = F[1,x]+F[25,x]
F[81,x] = F[14,x]*F[82,x]
F[82,x] = F[336,x]+F[83,x]
F[83,x] = F[84,x,1]
F[84,x,k[0]] = F[124,x,k[0]]+F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]*F[9,x]
F[86,x,k[0]] = F[1,x]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]*F[90,x,k[0]]
F[89,x,k[0]] = k[0]*x
F[90,x,k[0]] = F[103,x,k[0]]+F[91,x,k[0]]
F[91,x,k[0]] = F[1,x]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[89,x,k[0]]*F[94,x,k[0]]
F[94,x,k[0]] = F[95,x,k[0]]+F[96,x,k[0]]
F[95,x,k[0]] = F[1,x]+F[89,x,k[0]]
F[96,x,k[0]] = F[92,x,k[0]]+F[97,x,k[0]]
F[97,x,k[0]] = F[102,x,k[0]]+F[7,x]+F[98,x,k[0]]
F[98,x,k[0]] = F[89,x,k[0]]*F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[101,x,k[0]]
F[100,x,k[0]] = F[89,x,k[0]]
F[101,x,k[0]] = F[97,x,k[0]]
F[102,x,k[0]] = F[89,x,k[0]]*F[92,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]+F[87,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]+F[114,x,k[0]]+F[7,x]
F[105,x,k[0]] = F[106,x,k[0]]*F[89,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]+F[109,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]+F[89,x,k[0]]
F[108,x,k[0]] = F[102,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]+F[112,x,k[0]]
F[110,x,k[0]] = F[105,x,k[0]]+F[111,x,k[0]]+F[7,x]
F[111,x,k[0]] = F[87,x,k[0]]*F[89,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]
F[113,x,k[0]] = F[104,x,k[0]]*F[89,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[89,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[117,x,k[0]]
F[116,x,k[0]] = F[110,x,k[0]]+F[87,x,k[0]]
F[117,x,k[0]] = F[104,x,k[0]]+F[118,x,k[0]]
F[118,x,k[0]] = F[113,x,k[0]]+F[119,x,k[0]]+F[120,x,k[0]]+F[7,x]
F[119,x,k[0]] = 0
F[120,x,k[0]] = F[121,x,k[0]]*F[89,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]+F[123,x,k[0]]
F[122,x,k[0]] = F[110,x,k[0]]
F[123,x,k[0]] = F[118,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]*F[89,x,k[0]]*F[90,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]+F[334,x,k[0]]
F[127,x,k[0]] = F[128,x]*F[331,x,k[0]]
F[128,x] = -F[326,x]+F[129,x]
F[129,x] = F[130,x,1]
F[130,x,k[0]] = F[131,x,k[0]]+F[321,x,k[0]]
F[131,x,k[0]] = F[1,x]+F[132,x,k[0]]+F[314,x,k[0]]+F[318,x,k[0]]+F[319,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]*F[14,x]
F[133,x,k[0]] = F[134,x,k[0]]+F[312,x,k[0]]
F[134,x,k[0]] = 1/(-1+k[0])*(F[135,x,k[0]]*k[0]-F[135,x,1])
F[135,x,k[0]] = F[136,x,k[0]]+F[4,x]
F[137,x,k[0]] = (F[136,x,k[0]]-F[136,x,1])/(-1+k[0])
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = 1/(-1+k[0])*(F[139,x,k[0]]*k[0]-F[139,x,1])
F[139,x,k[0]] = F[140,x]+F[186,x,k[0]]
F[140,x] = F[141,x]
F[141,x] = F[14,x]*F[142,x]
F[142,x] = F[143,x]+F[180,x]+F[4,x]
F[143,x] = -F[146,x]-F[4,x]+F[144,x]
F[144,x] = 1/F[14,x]*F[145,x]
F[145,x] = F[6,x]
F[146,x] = F[14,x]*F[147,x]
F[147,x] = F[148,x,1]
F[149,x,k[0]] = F[14,x]*F[148,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]
F[151,x,k[0]] = F[150,x,k[0]]+F[169,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]+F[4,x]
F[152,x,k[0]] = F[153,x,k[0]]+F[155,x,k[0]]+F[167,x,k[0]]+F[7,x]
F[153,x,k[0]] = F[14,x]*F[154,x,k[0]]
F[154,x,k[0]] = -k[0]*(-F[136,x,k[0]]+F[136,x,1])/(-1+k[0])
F[155,x,k[0]] = F[156,x,k[0]]*F[89,x,k[0]]
F[156,x,k[0]] = F[151,x,k[0]]+F[157,x,k[0]]
F[157,x,k[0]] = k[0]*F[158,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]+F[161,x,k[0]]+F[163,x,k[0]]+F[164,x,k[0]]+F[7,x]
F[159,x,k[0]] = F[14,x]*F[160,x,k[0]]
F[160,x,k[0]] = 1/(-1+k[0])*(F[139,x,k[0]]*k[0]-F[139,x,1])
F[161,x,k[0]] = F[162,x,k[0]]
F[162,x,k[0]] = F[158,x,k[0]]*F[89,x,k[0]]
F[163,x,k[0]] = F[14,x]*F[151,x,k[0]]
F[164,x,k[0]] = F[14,x]*F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = (F[152,x,k[0]]-F[152,x,1])/(-1+k[0])
F[167,x,k[0]] = F[14,x]*F[168,x,k[0]]
F[168,x,k[0]] = -k[0]*(-F[152,x,k[0]]+F[152,x,1])/(-1+k[0])
F[169,x,k[0]] = F[170,x,k[0]]+F[5,x]
F[170,x,k[0]] = F[171,x,k[0]]+F[178,x,k[0]]+F[7,x]
F[171,x,k[0]] = F[172,x,k[0]]*F[89,x,k[0]]
F[172,x,k[0]] = F[169,x,k[0]]+F[173,x,k[0]]
F[173,x,k[0]] = k[0]*F[174,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]
F[175,x,k[0]] = F[14,x]*F[176,x,k[0]]
F[177,x,k[0]] = F[176,x,k[0]]*F[89,x,k[0]]
F[177,x,k[0]] = F[170,x,k[0]]
F[178,x,k[0]] = F[14,x]*F[179,x,k[0]]
F[179,x,k[0]] = -k[0]*(F[170,x,1]-F[170,x,k[0]])/(-1+k[0])
F[180,x] = -F[183,x]-F[4,x]+F[181,x]
F[181,x] = 1/F[14,x]*F[182,x]
F[182,x] = F[77,x]
F[183,x] = F[14,x]*F[184,x]
F[184,x] = 1/F[14,x]*F[185,x]
F[185,x] = F[75,x]
F[186,x,k[0]] = F[187,x,k[0]]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]*F[89,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]+F[308,x,k[0]]
F[190,x,k[0]] = F[191,x,k[0]]
F[191,x,k[0]] = F[14,x]*F[192,x,k[0]]
F[193,x,k[0]] = F[192,x,k[0]]*F[89,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]
F[194,x,k[0]] = F[136,x,k[0]]+F[195,x,k[0]]+F[196,x,k[0]]
F[195,x,k[0]] = F[194,x,k[0]]*F[89,x,k[0]]
F[196,x,k[0]] = F[14,x]*F[197,x,k[0]]
F[197,x,k[0]] = F[198,x,k[0]]+F[258,x,k[0]]
F[199,x,k[0]] = F[198,x,k[0]]+F[236,x,k[0]]
F[200,x,k[0]] = F[199,x,k[0]]+F[203,x,k[0]]
F[201,x,k[0]] = F[200,x,k[0]]*F[89,x,k[0]]
F[201,x,k[0]] = F[202,x,k[0]]
F[202,x,k[0]] = -k[0]*(-F[136,x,k[0]]+F[136,x,1])/(-1+k[0])
F[203,x,k[0]] = F[204,x,k[0]]
F[204,x,k[0]] = F[14,x]*F[205,x,k[0]]*F[228,x]
F[206,x,k[0]] = F[14,x]*F[205,x,k[0]]
F[206,x,k[0]] = F[207,x,k[0]]
F[208,x,k[0]] = F[135,x,k[0]]+F[207,x,k[0]]
F[208,x,k[0]] = F[209,x]+F[227,x,k[0]]
F[209,x] = -F[224,x]+F[210,x]
F[210,x] = 1/F[14,x]*F[211,x]
F[211,x] = -F[1,x]-F[212,x]-F[220,x]+F[9,x]
F[212,x] = F[14,x]*F[213,x]
F[213,x] = F[214,x,1]
F[214,x,k[0]] = F[215,x,k[0]]+F[9,x]
F[215,x,k[0]] = k[0]*F[216,x]
F[216,x] = F[217,x]
F[217,x] = F[14,x]*F[218,x]
F[218,x] = 1/F[14,x]*F[219,x]
F[219,x] = F[143,x]
F[220,x] = F[14,x]*F[221,x]
F[221,x] = F[222,x]+F[9,x]
F[222,x] = F[223,x,1]
F[131,x,k[0]] = F[223,x,k[0]]+F[9,x]
F[224,x] = F[225,x]
F[225,x] = -F[226,x]+F[213,x]
F[226,x] = F[140,x]+F[4,x]
F[227,x,k[0]] = F[136,x,k[0]]+F[187,x,k[0]]
F[228,x] = F[229,x,1]
F[229,x,k[0]] = F[230,x]+F[231,x,k[0]]
F[230,x] = F[169,x,1]
F[231,x,k[0]] = F[232,x,k[0]]
F[232,x,k[0]] = F[230,x]*F[233,x,k[0]]*F[89,x,k[0]]
F[233,x,k[0]] = F[1,x]+F[234,x,k[0]]+F[235,x,k[0]]
F[234,x,k[0]] = F[233,x,k[0]]*F[89,x,k[0]]
F[235,x,k[0]] = F[14,x]*F[229,x,k[0]]
F[236,x,k[0]] = F[237,x]+F[256,x,k[0]]
F[237,x] = -F[241,x]+F[238,x]
F[238,x] = 1/F[14,x]*F[239,x]
F[239,x] = F[240,x]
F[240,x] = F[217,x]
F[241,x] = F[242,x]
F[242,x] = F[14,x]*F[228,x]*F[243,x]
F[243,x] = -F[244,x]+F[181,x]
F[244,x] = F[183,x]+F[245,x]+F[7,x]
F[245,x] = F[14,x]*F[246,x]
F[246,x] = F[247,x]
F[247,x] = -F[248,x]+F[147,x]
F[248,x] = 1/F[14,x]*F[249,x]
F[249,x] = F[250,x]
F[250,x] = -F[4,x]+F[251,x]
F[251,x] = -F[252,x]+F[144,x]
F[252,x] = F[253,x,k[0]]
F[254,x,k[0]] = F[205,x,k[0]]+F[253,x,k[0]]
F[255,x,k[0]] = F[254,x,k[0]]*F[89,x,k[0]]
F[255,x,k[0]] = F[136,x,k[0]]
F[256,x,k[0]] = F[257,x,k[0]]
F[257,x,k[0]] = F[229,x,k[0]]*F[243,x]*F[89,x,k[0]]
F[259,x,k[0]] = F[258,x,k[0]]+F[292,x]
F[259,x,k[0]] = F[260,x,k[0]]
F[260,x,k[0]] = F[14,x]*F[228,x]*F[261,x,k[0]]
F[262,x,k[0]] = F[14,x]*F[261,x,k[0]]
F[262,x,k[0]] = F[263,x,k[0]]
F[263,x,k[0]] = F[264,x,k[0]]+F[280,x,k[0]]+F[282,x,k[0]]+F[283,x,k[0]]+F[7,x]
F[264,x,k[0]] = F[14,x]*F[265,x,k[0]]
F[265,x,k[0]] = F[216,x]+F[266,x,k[0]]
F[266,x,k[0]] = k[0]*F[267,x]
F[267,x] = -F[216,x]+F[268,x]
F[268,x] = 1/F[14,x]*F[269,x]
F[269,x] = -F[275,x]-F[277,x]-F[278,x]-F[7,x]+F[270,x]
F[270,x] = F[271,x]
F[271,x] = -F[210,x]+F[272,x]
F[272,x] = F[128,x]+F[273,x]
F[273,x] = F[274,x]
F[274,x] = F[207,x,1]
F[275,x] = F[276,x]
F[276,x] = F[14,x]*F[270,x]
F[277,x] = F[14,x]*F[9,x]
F[278,x] = F[14,x]*F[279,x]
F[279,x] = F[222,x]
F[280,x,k[0]] = F[281,x,k[0]]
F[281,x,k[0]] = F[263,x,k[0]]*F[89,x,k[0]]
F[282,x,k[0]] = F[135,x,k[0]]*F[14,x]
F[283,x,k[0]] = F[14,x]*F[284,x,k[0]]
F[284,x,k[0]] = F[285,x,k[0]]
F[286,x,k[0]] = F[135,x,k[0]]+F[285,x,k[0]]
F[287,x,k[0]] = F[14,x]*F[286,x,k[0]]
F[135,x,k[0]] = F[1,x]+F[287,x,k[0]]+F[288,x,k[0]]+F[289,x,k[0]]
F[288,x,k[0]] = F[14,x]*F[214,x,k[0]]
F[289,x,k[0]] = F[290,x,k[0]]*F[89,x,k[0]]
F[290,x,k[0]] = F[135,x,k[0]]+F[291,x,k[0]]
F[291,x,k[0]] = k[0]*F[207,x,k[0]]
F[292,x] = -F[294,x]+F[293,x]
F[293,x] = F[259,x,1]
F[294,x] = -F[311,x]+F[295,x]
F[295,x] = 1/F[14,x]*F[296,x]
F[296,x] = -F[240,x]-F[310,x]+F[297,x]
F[297,x] = -F[298,x]+F[218,x]
F[298,x] = -F[302,x]+F[299,x]
F[299,x] = F[237,x]+F[300,x]
F[300,x] = F[301,x]
F[301,x] = F[14,x]*F[228,x]*F[243,x]
F[302,x] = F[303,x]
F[303,x] = -F[306,x]+F[304,x]
F[304,x] = 1/F[14,x]*F[305,x]
F[305,x] = F[225,x]
F[306,x] = F[299,x]+F[307,x]
F[307,x] = F[308,x,1]
F[308,x,k[0]] = F[309,x,k[0]]
F[309,x,k[0]] = F[14,x]*F[233,x,k[0]]*F[243,x]
F[310,x] = F[14,x]*F[297,x]
F[311,x] = F[198,x,1]
F[312,x,k[0]] = F[313,x,k[0]]
F[313,x,k[0]] = (F[136,x,k[0]]-F[136,x,1])/(-1+k[0])
F[314,x,k[0]] = F[14,x]*F[315,x,k[0]]
F[315,x,k[0]] = F[210,x]+F[316,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]
F[317,x,k[0]] = k[0]*F[270,x]
F[318,x,k[0]] = F[130,x,k[0]]*F[89,x,k[0]]
F[319,x,k[0]] = F[14,x]*F[320,x,k[0]]
F[320,x,k[0]] = (F[131,x,k[0]]*k[0]-F[131,x,1])/(-1+k[0])
F[321,x,k[0]] = k[0]*F[322,x,k[0]]
F[322,x,k[0]] = F[323,x,k[0]]
F[323,x,k[0]] = F[14,x]*F[324,x,k[0]]
F[325,x,k[0]] = F[324,x,k[0]]*F[89,x,k[0]]
F[325,x,k[0]] = F[223,x,k[0]]
F[326,x] = F[327,x,1]
F[328,x,k[0]] = -k[0]*(F[327,x,1]-F[327,x,k[0]])/(-1+k[0])
F[329,x,k[0]] = F[129,x]+F[328,x,k[0]]
F[329,x,k[0]] = (F[330,x,k[0]]*k[0]-F[330,x,1])/(-1+k[0])
F[330,x,k[0]] = F[131,x,k[0]]+F[322,x,k[0]]
F[331,x,k[0]] = F[1,x]+F[332,x,k[0]]
F[332,x,k[0]] = F[333,x,k[0]]
F[333,x,k[0]] = F[331,x,k[0]]*F[89,x,k[0]]
F[334,x,k[0]] = F[335,x,k[0]]
F[335,x,k[0]] = F[331,x,k[0]]^2*F[128,x]*F[89,x,k[0]]
F[336,x] = F[337,x,1]
F[337,x,k[0]] = F[338,x,k[0]]
F[338,x,k[0]] = F[14,x]*F[339,x,k[0]]
F[339,x,k[0]] = F[340,x,k[0]]+F[417,x]
F[340,x,k[0]] = F[341,x,k[0]]*F[355,x]
F[342,x,k[0]] = F[14,x]*F[341,x,k[0]]
F[342,x,k[0]] = F[343,x,k[0]]
F[148,x,k[0]] = F[135,x,k[0]]+F[343,x,k[0]]+F[344,x,k[0]]+F[353,x,k[0]]
F[344,x,k[0]] = F[345,x,k[0]]
F[345,x,k[0]] = F[346,x,k[0]]*F[89,x,k[0]]
F[347,x,k[0]] = F[14,x]*F[346,x,k[0]]
F[347,x,k[0]] = F[348,x,k[0]]
F[349,x,k[0]] = F[348,x,k[0]]*F[89,x,k[0]]
F[150,x,k[0]] = F[349,x,k[0]]+F[350,x,k[0]]+F[351,x,k[0]]+F[7,x]
F[350,x,k[0]] = F[134,x,k[0]]*F[14,x]
F[351,x,k[0]] = F[14,x]*F[352,x,k[0]]
F[352,x,k[0]] = (F[150,x,k[0]]*k[0]-F[150,x,1])/(-1+k[0])
F[353,x,k[0]] = F[14,x]*F[354,x,k[0]]
F[354,x,k[0]] = (F[148,x,k[0]]*k[0]-F[148,x,1])/(-1+k[0])
F[355,x] = F[356,x]+F[80,x]
F[356,x] = F[357,x]+F[360,x]
F[357,x] = F[358,x]
F[358,x] = F[14,x]*F[359,x]
F[359,x] = F[1,x]+F[357,x]
F[360,x] = F[361,x]+F[376,x]+F[7,x]
F[361,x] = F[14,x]*F[362,x]
F[362,x] = F[12,x]+F[363,x]
F[363,x] = F[364,x]
F[364,x] = F[14,x]*F[365,x]
F[365,x] = F[366,x]+F[369,x]
F[366,x] = F[357,x]+F[367,x]
F[367,x] = F[368,x]
F[368,x] = F[14,x]*F[357,x]
F[369,x] = F[363,x]+F[370,x]
F[370,x] = 2*F[7,x]+F[371,x]+F[375,x]
F[371,x] = F[14,x]*F[372,x]
F[372,x] = F[373,x]+F[374,x]
F[373,x] = F[367,x]
F[374,x] = F[370,x]
F[375,x] = F[14,x]*F[363,x]
F[376,x] = F[14,x]*F[377,x]
F[377,x] = F[378,x]+F[390,x]
F[378,x] = F[357,x]+F[379,x]
F[379,x] = F[380,x]+F[382,x]+F[7,x]
F[380,x] = F[14,x]*F[381,x]
F[381,x] = F[14,x]+F[367,x]
F[382,x] = F[14,x]*F[383,x]
F[383,x] = F[366,x]+F[384,x]
F[384,x] = F[379,x]+F[385,x]
F[385,x] = 2*F[7,x]+F[386,x]+F[389,x]
F[386,x] = F[14,x]*F[387,x]
F[387,x] = F[373,x]+F[388,x]
F[388,x] = F[385,x]
F[389,x] = F[14,x]*F[379,x]
F[390,x] = F[360,x]+F[391,x]
F[391,x] = F[392,x]+F[394,x]+F[413,x]+F[7,x]
F[392,x] = F[14,x]*F[393,x]
F[393,x] = F[370,x]+F[53,x]
F[394,x] = F[14,x]*F[395,x]
F[395,x] = F[396,x]+F[400,x]
F[396,x] = F[397,x]+F[398,x]
F[397,x] = F[368,x]+F[380,x]+F[7,x]
F[398,x] = F[386,x]+F[389,x]+F[399,x]+F[7,x]
F[399,x] = 0
F[400,x] = F[401,x]+F[403,x]
F[401,x] = F[392,x]+F[394,x]+F[402,x]+F[7,x]
F[402,x] = F[14,x]*F[360,x]
F[403,x] = F[404,x]+F[405,x]+F[406,x]+F[412,x]+F[7,x]
F[404,x] = 0
F[405,x] = 0
F[406,x] = F[14,x]*F[407,x]
F[407,x] = F[408,x]+F[410,x]
F[408,x] = F[409,x]
F[409,x] = F[402,x]
F[410,x] = F[411,x]
F[411,x] = 3*F[7,x]+F[406,x]+F[412,x]
F[412,x] = F[14,x]*F[391,x]
F[413,x] = F[14,x]*F[414,x]
F[414,x] = F[415,x]+F[416,x]
F[415,x] = F[360,x]+F[409,x]
F[416,x] = F[391,x]+F[411,x]
F[417,x] = F[418,x]
F[418,x] = F[14,x]*F[359,x]*F[419,x]*F[420,x]
F[419,x] = F[205,x,1]
F[420,x] = 1/F[14,x]/F[359,x]/F[9,x]*F[421,x]
F[421,x] = F[422,x]
F[422,x] = -F[439,x]+F[423,x]
F[423,x] = F[424,x]+F[437,x]
F[424,x] = -F[432,x]+F[425,x]
F[425,x] = F[426,x]+F[430,x]
F[426,x] = F[427,x]+F[428,x]
F[427,x] = F[128,x]*F[355,x]
F[428,x] = F[429,x]
F[429,x] = F[14,x]*F[355,x]*F[419,x]
F[430,x] = F[431,x]
F[431,x] = F[124,x,1]
F[432,x] = F[433,x]
F[433,x] = F[434,x]+F[435,x]
F[434,x] = F[270,x]*F[355,x]
F[435,x] = F[436,x]
F[436,x] = F[14,x]*F[270,x]*F[359,x]*F[420,x]
F[437,x] = F[438,x]
F[438,x] = F[274,x]*F[355,x]
F[439,x] = F[440,x]+F[441,x]
F[440,x] = F[210,x]*F[355,x]
F[441,x] = F[429,x]
F[442,x] = F[443,x,1]
F[443,x,k[0]] = F[444,x,k[0]]*F[89,x,k[0]]
F[444,x,k[0]] = F[445,x,k[0]]+F[455,x,k[0]]
F[445,x,k[0]] = F[443,x,k[0]]+F[446,x,k[0]]+F[453,x,k[0]]+F[80,x]
F[446,x,k[0]] = F[14,x]*F[447,x,k[0]]
F[447,x,k[0]] = F[337,x,k[0]]+F[448,x,k[0]]
F[448,x,k[0]] = F[449,x,k[0]]+F[450,x,k[0]]
F[449,x,k[0]] = F[135,x,k[0]]*F[80,x]
F[450,x,k[0]] = F[451,x,k[0]]
F[451,x,k[0]] = F[422,x]+F[452,x,k[0]]
F[452,x,k[0]] = k[0]*F[435,x]
F[453,x,k[0]] = F[14,x]*F[454,x,k[0]]
F[454,x,k[0]] = (F[445,x,k[0]]*k[0]-F[445,x,1])/(-1+k[0])
F[455,x,k[0]] = k[0]*F[456,x,k[0]]
F[456,x,k[0]] = F[457,x,k[0]]
F[457,x,k[0]] = F[14,x]*F[458,x,k[0]]
F[459,x,k[0]] = F[458,x,k[0]]*F[89,x,k[0]]
F[459,x,k[0]] = F[460,x,k[0]]
F[461,x,k[0]] = -k[0]*(F[460,x,1]-F[460,x,k[0]])/(-1+k[0])
F[454,x,k[0]] = F[461,x,k[0]]+F[79,x]
F[462,x] = F[14,x]*F[463,x]
F[463,x] = F[454,x,1]
F[464,x] = F[14,x]*F[465,x]
F[465,x] = F[230,x]+F[466,x]
F[466,x] = F[150,x,1]
F[467,x] = F[14,x]*F[466,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_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x \right)+F_{6}\! \left(x \right)
F_{5}\! \left(x \right) = F_{5}\! \left(x \right) x +F_{5} \left(x \right)^{2}-2 F_{5}\! \left(x \right)+2
F_{6}\! \left(x \right) = F_{467}\! \left(x \right)+F_{7}\! \left(x \right)+F_{8}\! \left(x \right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x \right) = F_{14}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{75}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{24}\! \left(x \right)
F_{11}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = x
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{12}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{23}\! \left(x \right)+F_{7}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{14}\! \left(x \right)
F_{22}\! \left(x \right) = F_{18}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{49}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{14}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{11}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{25}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{39}\! \left(x \right)+F_{7}\! \left(x \right)
F_{30}\! \left(x \right) = F_{14}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{34}\! \left(x \right)
F_{32}\! \left(x \right) = F_{14}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{23}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{37}\! \left(x \right)
F_{35}\! \left(x \right) = F_{30}\! \left(x \right)+F_{36}\! \left(x \right)+F_{7}\! \left(x \right)
F_{36}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{14}\! \left(x \right) F_{29}\! \left(x \right)
F_{39}\! \left(x \right) = F_{14}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{25}\! \left(x \right)+F_{35}\! \left(x \right)
F_{42}\! \left(x \right) = F_{29}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{38}\! \left(x \right)+F_{44}\! \left(x \right)+F_{45}\! \left(x \right)+F_{7}\! \left(x \right)
F_{44}\! \left(x \right) = 0
F_{45}\! \left(x \right) = F_{14}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{35}\! \left(x \right)
F_{48}\! \left(x \right) = F_{43}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{7}\! \left(x \right)+F_{71}\! \left(x \right)
F_{50}\! \left(x \right) = F_{14}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{52}\! \left(x \right) = F_{14}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{58}\! \left(x \right)+F_{7}\! \left(x \right)
F_{54}\! \left(x \right) = F_{14}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{14}\! \left(x \right)
F_{57}\! \left(x \right) = F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{62}\! \left(x \right)
F_{60}\! \left(x \right) = F_{50}\! \left(x \right)+F_{61}\! \left(x \right)+F_{7}\! \left(x \right)
F_{61}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{64}\! \left(x \right)+F_{7}\! \left(x \right)+F_{70}\! \left(x \right)
F_{63}\! \left(x \right) = 0
F_{64}\! \left(x \right) = F_{14}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{68}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{61}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{64}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{14}\! \left(x \right) F_{49}\! \left(x \right)
F_{71}\! \left(x \right) = F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{25}\! \left(x \right)+F_{67}\! \left(x \right)
F_{74}\! \left(x \right) = F_{49}\! \left(x \right)+F_{69}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{76}\! \left(x \right) = -F_{464}\! \left(x \right)-F_{7}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{14}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{442}\! \left(x \right)+F_{462}\! \left(x \right)+F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{81}\! \left(x \right) = F_{14}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{336}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x , 1\right)
F_{84}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y\right) F_{9}\! \left(x \right)
F_{86}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right) F_{90}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = y x
F_{90}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{89}\! \left(x , y\right) F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{89}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{92}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{89}\! \left(x , y\right) F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{101}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{89}\! \left(x , y\right) F_{92}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{114}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{109}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{112}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{111}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{87}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{117}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{118}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{119}\! \left(x , y\right)+F_{120}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{119}\! \left(x , y\right) = 0
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{123}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{110}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{118}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{89}\! \left(x , y\right) F_{90}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{334}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x \right) F_{331}\! \left(x , y\right)
F_{128}\! \left(x \right) = -F_{326}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x , 1\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{321}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{132}\! \left(x , y\right)+F_{314}\! \left(x , y\right)+F_{318}\! \left(x , y\right)+F_{319}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{312}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = -\frac{-F_{135}\! \left(x , y\right) y +F_{135}\! \left(x , 1\right)}{-1+y}
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{137}\! \left(x , y\right) = -\frac{-F_{136}\! \left(x , y\right)+F_{136}\! \left(x , 1\right)}{-1+y}
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = -\frac{-F_{139}\! \left(x , y\right) y +F_{139}\! \left(x , 1\right)}{-1+y}
F_{139}\! \left(x , y\right) = F_{140}\! \left(x \right)+F_{186}\! \left(x , y\right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{14}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{180}\! \left(x \right)+F_{4}\! \left(x \right)
F_{143}\! \left(x \right) = -F_{146}\! \left(x \right)-F_{4}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{6}\! \left(x \right)
F_{146}\! \left(x \right) = F_{14}\! \left(x \right) F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x , 1\right)
F_{149}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{148}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{155}\! \left(x , y\right)+F_{167}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{153}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{154}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = -\frac{y \left(-F_{136}\! \left(x , y\right)+F_{136}\! \left(x , 1\right)\right)}{-1+y}
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = y F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)+F_{161}\! \left(x , y\right)+F_{163}\! \left(x , y\right)+F_{164}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{159}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = -\frac{-F_{139}\! \left(x , y\right) y +F_{139}\! \left(x , 1\right)}{-1+y}
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{158}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{151}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{165}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = -\frac{-F_{152}\! \left(x , y\right)+F_{152}\! \left(x , 1\right)}{-1+y}
F_{167}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = -\frac{y \left(-F_{152}\! \left(x , y\right)+F_{152}\! \left(x , 1\right)\right)}{-1+y}
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)+F_{5}\! \left(x \right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{178}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{173}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = y F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{176}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{176}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{170}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{179}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = -\frac{y \left(F_{170}\! \left(x , 1\right)-F_{170}\! \left(x , y\right)\right)}{-1+y}
F_{180}\! \left(x \right) = -F_{183}\! \left(x \right)-F_{4}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{77}\! \left(x \right)
F_{183}\! \left(x \right) = F_{14}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = \frac{F_{185}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{185}\! \left(x \right) = F_{75}\! \left(x \right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{308}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{192}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{192}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{195}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{194}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{258}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{236}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{203}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{200}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{202}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = -\frac{y \left(-F_{136}\! \left(x , y\right)+F_{136}\! \left(x , 1\right)\right)}{-1+y}
F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{205}\! \left(x , y\right) F_{228}\! \left(x \right)
F_{206}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{205}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{207}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{209}\! \left(x \right)+F_{227}\! \left(x , y\right)
F_{209}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = \frac{F_{211}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{211}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{212}\! \left(x \right)-F_{220}\! \left(x \right)+F_{9}\! \left(x \right)
F_{212}\! \left(x \right) = F_{14}\! \left(x \right) F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x , 1\right)
F_{214}\! \left(x , y\right) = F_{215}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{215}\! \left(x , y\right) = y F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{14}\! \left(x \right) F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = \frac{F_{219}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{219}\! \left(x \right) = F_{143}\! \left(x \right)
F_{220}\! \left(x \right) = F_{14}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{9}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x , 1\right)
F_{131}\! \left(x , y\right) = F_{223}\! \left(x , y\right)+F_{9}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{213}\! \left(x \right)
F_{226}\! \left(x \right) = F_{140}\! \left(x \right)+F_{4}\! \left(x \right)
F_{227}\! \left(x , y\right) = F_{136}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{228}\! \left(x \right) = F_{229}\! \left(x , 1\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x \right)+F_{231}\! \left(x , y\right)
F_{230}\! \left(x \right) = F_{169}\! \left(x , 1\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)
F_{232}\! \left(x , y\right) = F_{230}\! \left(x \right) F_{233}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{234}\! \left(x , y\right)+F_{235}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{233}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{235}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{229}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{237}\! \left(x \right)+F_{256}\! \left(x , y\right)
F_{237}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = \frac{F_{239}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{217}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = F_{14}\! \left(x \right) F_{228}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{181}\! \left(x \right)
F_{244}\! \left(x \right) = F_{183}\! \left(x \right)+F_{245}\! \left(x \right)+F_{7}\! \left(x \right)
F_{245}\! \left(x \right) = F_{14}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = -F_{248}\! \left(x \right)+F_{147}\! \left(x \right)
F_{248}\! \left(x \right) = \frac{F_{249}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = -F_{252}\! \left(x \right)+F_{144}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x , y\right)
F_{254}\! \left(x , y\right) = F_{205}\! \left(x , y\right)+F_{253}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{254}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{136}\! \left(x , y\right)
F_{256}\! \left(x , y\right) = F_{257}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = F_{229}\! \left(x , y\right) F_{243}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{258}\! \left(x , y\right)+F_{292}\! \left(x \right)
F_{259}\! \left(x , y\right) = F_{260}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{228}\! \left(x \right) F_{261}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{261}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , y\right)+F_{280}\! \left(x , y\right)+F_{282}\! \left(x , y\right)+F_{283}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{264}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{265}\! \left(x , y\right)
F_{265}\! \left(x , y\right) = F_{216}\! \left(x \right)+F_{266}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = y F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = \frac{F_{269}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{269}\! \left(x \right) = -F_{275}\! \left(x \right)-F_{277}\! \left(x \right)-F_{278}\! \left(x \right)-F_{7}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = -F_{210}\! \left(x \right)+F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{128}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{207}\! \left(x , 1\right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{14}\! \left(x \right) F_{270}\! \left(x \right)
F_{277}\! \left(x \right) = F_{14}\! \left(x \right) F_{9}\! \left(x \right)
F_{278}\! \left(x \right) = F_{14}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{222}\! \left(x \right)
F_{280}\! \left(x , y\right) = F_{281}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{263}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{283}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{284}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{287}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{286}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{287}\! \left(x , y\right)+F_{288}\! \left(x , y\right)+F_{289}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{214}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{290}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = y F_{207}\! \left(x , y\right)
F_{292}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{259}\! \left(x , 1\right)
F_{294}\! \left(x \right) = -F_{311}\! \left(x \right)+F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = \frac{F_{296}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{296}\! \left(x \right) = -F_{240}\! \left(x \right)-F_{310}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{298}\! \left(x \right)+F_{218}\! \left(x \right)
F_{298}\! \left(x \right) = -F_{302}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{237}\! \left(x \right)+F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{14}\! \left(x \right) F_{228}\! \left(x \right) F_{243}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{225}\! \left(x \right)
F_{306}\! \left(x \right) = F_{299}\! \left(x \right)+F_{307}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x , 1\right)
F_{308}\! \left(x , y\right) = F_{309}\! \left(x , y\right)
F_{309}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{233}\! \left(x , y\right) F_{243}\! \left(x \right)
F_{310}\! \left(x \right) = F_{14}\! \left(x \right) F_{297}\! \left(x \right)
F_{311}\! \left(x \right) = F_{198}\! \left(x , 1\right)
F_{312}\! \left(x , y\right) = F_{313}\! \left(x , y\right)
F_{313}\! \left(x , y\right) = -\frac{-F_{136}\! \left(x , y\right)+F_{136}\! \left(x , 1\right)}{-1+y}
F_{314}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{315}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{210}\! \left(x \right)+F_{316}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = y F_{270}\! \left(x \right)
F_{318}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{320}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = -\frac{-F_{131}\! \left(x , y\right) y +F_{131}\! \left(x , 1\right)}{-1+y}
F_{321}\! \left(x , y\right) = y F_{322}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{323}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{324}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = F_{324}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = F_{223}\! \left(x , y\right)
F_{326}\! \left(x \right) = F_{327}\! \left(x , 1\right)
F_{328}\! \left(x , y\right) = -\frac{y \left(F_{327}\! \left(x , 1\right)-F_{327}\! \left(x , y\right)\right)}{-1+y}
F_{329}\! \left(x , y\right) = F_{129}\! \left(x \right)+F_{328}\! \left(x , y\right)
F_{329}\! \left(x , y\right) = -\frac{-F_{330}\! \left(x , y\right) y +F_{330}\! \left(x , 1\right)}{-1+y}
F_{330}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{322}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{332}\! \left(x , y\right)
F_{332}\! \left(x , y\right) = F_{333}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = F_{331}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{335}\! \left(x , y\right)
F_{335}\! \left(x , y\right) = F_{331}\! \left(x , y\right)^{2} F_{128}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{336}\! \left(x \right) = F_{337}\! \left(x , 1\right)
F_{337}\! \left(x , y\right) = F_{338}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{339}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{340}\! \left(x , y\right)+F_{417}\! \left(x \right)
F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right) F_{355}\! \left(x \right)
F_{342}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{341}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{343}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{343}\! \left(x , y\right)+F_{344}\! \left(x , y\right)+F_{353}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{345}\! \left(x , y\right)
F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{346}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{348}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{348}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{349}\! \left(x , y\right)+F_{350}\! \left(x , y\right)+F_{351}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{350}\! \left(x , y\right) = F_{134}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{351}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{352}\! \left(x , y\right)
F_{352}\! \left(x , y\right) = -\frac{-F_{150}\! \left(x , y\right) y +F_{150}\! \left(x , 1\right)}{-1+y}
F_{353}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{354}\! \left(x , y\right)
F_{354}\! \left(x , y\right) = -\frac{-F_{148}\! \left(x , y\right) y +F_{148}\! \left(x , 1\right)}{-1+y}
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)+F_{80}\! \left(x \right)
F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{360}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)
F_{358}\! \left(x \right) = F_{14}\! \left(x \right) F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = F_{1}\! \left(x \right)+F_{357}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{376}\! \left(x \right)+F_{7}\! \left(x \right)
F_{361}\! \left(x \right) = F_{14}\! \left(x \right) F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{12}\! \left(x \right)+F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{14}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{369}\! \left(x \right)
F_{366}\! \left(x \right) = F_{357}\! \left(x \right)+F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{14}\! \left(x \right) F_{357}\! \left(x \right)
F_{369}\! \left(x \right) = F_{363}\! \left(x \right)+F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{371}\! \left(x \right)+F_{375}\! \left(x \right)
F_{371}\! \left(x \right) = F_{14}\! \left(x \right) F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)+F_{374}\! \left(x \right)
F_{373}\! \left(x \right) = F_{367}\! \left(x \right)
F_{374}\! \left(x \right) = F_{370}\! \left(x \right)
F_{375}\! \left(x \right) = F_{14}\! \left(x \right) F_{363}\! \left(x \right)
F_{376}\! \left(x \right) = F_{14}\! \left(x \right) F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)+F_{390}\! \left(x \right)
F_{378}\! \left(x \right) = F_{357}\! \left(x \right)+F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)+F_{382}\! \left(x \right)+F_{7}\! \left(x \right)
F_{380}\! \left(x \right) = F_{14}\! \left(x \right) F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{14}\! \left(x \right)+F_{367}\! \left(x \right)
F_{382}\! \left(x \right) = F_{14}\! \left(x \right) F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{366}\! \left(x \right)+F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{379}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = 2 F_{7}\! \left(x \right)+F_{386}\! \left(x \right)+F_{389}\! \left(x \right)
F_{386}\! \left(x \right) = F_{14}\! \left(x \right) F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{373}\! \left(x \right)+F_{388}\! \left(x \right)
F_{388}\! \left(x \right) = F_{385}\! \left(x \right)
F_{389}\! \left(x \right) = F_{14}\! \left(x \right) F_{379}\! \left(x \right)
F_{390}\! \left(x \right) = F_{360}\! \left(x \right)+F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)+F_{394}\! \left(x \right)+F_{413}\! \left(x \right)+F_{7}\! \left(x \right)
F_{392}\! \left(x \right) = F_{14}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{370}\! \left(x \right)+F_{53}\! \left(x \right)
F_{394}\! \left(x \right) = F_{14}\! \left(x \right) F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{400}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{398}\! \left(x \right)
F_{397}\! \left(x \right) = F_{368}\! \left(x \right)+F_{380}\! \left(x \right)+F_{7}\! \left(x \right)
F_{398}\! \left(x \right) = F_{386}\! \left(x \right)+F_{389}\! \left(x \right)+F_{399}\! \left(x \right)+F_{7}\! \left(x \right)
F_{399}\! \left(x \right) = 0
F_{400}\! \left(x \right) = F_{401}\! \left(x \right)+F_{403}\! \left(x \right)
F_{401}\! \left(x \right) = F_{392}\! \left(x \right)+F_{394}\! \left(x \right)+F_{402}\! \left(x \right)+F_{7}\! \left(x \right)
F_{402}\! \left(x \right) = F_{14}\! \left(x \right) F_{360}\! \left(x \right)
F_{403}\! \left(x \right) = F_{404}\! \left(x \right)+F_{405}\! \left(x \right)+F_{406}\! \left(x \right)+F_{412}\! \left(x \right)+F_{7}\! \left(x \right)
F_{404}\! \left(x \right) = 0
F_{405}\! \left(x \right) = 0
F_{406}\! \left(x \right) = F_{14}\! \left(x \right) F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{408}\! \left(x \right)+F_{410}\! \left(x \right)
F_{408}\! \left(x \right) = F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{402}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)
F_{411}\! \left(x \right) = 3 F_{7}\! \left(x \right)+F_{406}\! \left(x \right)+F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{14}\! \left(x \right) F_{391}\! \left(x \right)
F_{413}\! \left(x \right) = F_{14}\! \left(x \right) F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{415}\! \left(x \right)+F_{416}\! \left(x \right)
F_{415}\! \left(x \right) = F_{360}\! \left(x \right)+F_{409}\! \left(x \right)
F_{416}\! \left(x \right) = F_{391}\! \left(x \right)+F_{411}\! \left(x \right)
F_{417}\! \left(x \right) = F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = F_{14}\! \left(x \right) F_{359}\! \left(x \right) F_{419}\! \left(x \right) F_{420}\! \left(x \right)
F_{419}\! \left(x \right) = F_{205}\! \left(x , 1\right)
F_{420}\! \left(x \right) = \frac{F_{421}\! \left(x \right)}{F_{14}\! \left(x \right) F_{359}\! \left(x \right) F_{9}\! \left(x \right)}
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)
F_{422}\! \left(x \right) = -F_{439}\! \left(x \right)+F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{437}\! \left(x \right)
F_{424}\! \left(x \right) = -F_{432}\! \left(x \right)+F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{430}\! \left(x \right)
F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{428}\! \left(x \right)
F_{427}\! \left(x \right) = F_{128}\! \left(x \right) F_{355}\! \left(x \right)
F_{428}\! \left(x \right) = F_{429}\! \left(x \right)
F_{429}\! \left(x \right) = F_{14}\! \left(x \right) F_{355}\! \left(x \right) F_{419}\! \left(x \right)
F_{430}\! \left(x \right) = F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{124}\! \left(x , 1\right)
F_{432}\! \left(x \right) = F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)+F_{435}\! \left(x \right)
F_{434}\! \left(x \right) = F_{270}\! \left(x \right) F_{355}\! \left(x \right)
F_{435}\! \left(x \right) = F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = F_{14}\! \left(x \right) F_{270}\! \left(x \right) F_{359}\! \left(x \right) F_{420}\! \left(x \right)
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{274}\! \left(x \right) F_{355}\! \left(x \right)
F_{439}\! \left(x \right) = F_{440}\! \left(x \right)+F_{441}\! \left(x \right)
F_{440}\! \left(x \right) = F_{210}\! \left(x \right) F_{355}\! \left(x \right)
F_{441}\! \left(x \right) = F_{429}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x , 1\right)
F_{443}\! \left(x , y\right) = F_{444}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{444}\! \left(x , y\right) = F_{445}\! \left(x , y\right)+F_{455}\! \left(x , y\right)
F_{445}\! \left(x , y\right) = F_{443}\! \left(x , y\right)+F_{446}\! \left(x , y\right)+F_{453}\! \left(x , y\right)+F_{80}\! \left(x \right)
F_{446}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{447}\! \left(x , y\right)
F_{447}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{448}\! \left(x , y\right)
F_{448}\! \left(x , y\right) = F_{449}\! \left(x , y\right)+F_{450}\! \left(x , y\right)
F_{449}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{80}\! \left(x \right)
F_{450}\! \left(x , y\right) = F_{451}\! \left(x , y\right)
F_{451}\! \left(x , y\right) = F_{422}\! \left(x \right)+F_{452}\! \left(x , y\right)
F_{452}\! \left(x , y\right) = y F_{435}\! \left(x \right)
F_{453}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{454}\! \left(x , y\right)
F_{454}\! \left(x , y\right) = -\frac{-y F_{445}\! \left(x , y\right)+F_{445}\! \left(x , 1\right)}{-1+y}
F_{455}\! \left(x , y\right) = y F_{456}\! \left(x , y\right)
F_{456}\! \left(x , y\right) = F_{457}\! \left(x , y\right)
F_{457}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{458}\! \left(x , y\right)
F_{459}\! \left(x , y\right) = F_{458}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{459}\! \left(x , y\right) = F_{460}\! \left(x , y\right)
F_{461}\! \left(x , y\right) = -\frac{y \left(F_{460}\! \left(x , 1\right)-F_{460}\! \left(x , y\right)\right)}{-1+y}
F_{454}\! \left(x , y\right) = F_{461}\! \left(x , y\right)+F_{79}\! \left(x \right)
F_{462}\! \left(x \right) = F_{14}\! \left(x \right) F_{463}\! \left(x \right)
F_{463}\! \left(x \right) = F_{454}\! \left(x , 1\right)
F_{464}\! \left(x \right) = F_{14}\! \left(x \right) F_{465}\! \left(x \right)
F_{465}\! \left(x \right) = F_{230}\! \left(x \right)+F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{150}\! \left(x , 1\right)
F_{467}\! \left(x \right) = F_{14}\! \left(x \right) F_{466}\! \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_14(x)*F_4(x))
Eq(F_4(x), F_5(x) + F_6(x))
Eq(F_5(x), (x - 2)*F_5(x) + F_5(x)**2 + 2)
Eq(F_6(x), F_467(x) + F_7(x) + F_8(x))
Eq(F_7(x), 0)
Eq(F_8(x), F_14(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_75(x))
Eq(F_10(x), F_11(x) + F_24(x))
Eq(F_11(x), F_1(x) + F_12(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x)*F_15(x))
Eq(F_14(x), x)
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_1(x) + F_14(x))
Eq(F_17(x), F_12(x) + F_18(x))
Eq(F_18(x), F_19(x) + F_23(x) + F_7(x))
Eq(F_19(x), F_14(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_14(x))
Eq(F_22(x), F_18(x))
Eq(F_23(x), F_12(x)*F_14(x))
Eq(F_24(x), F_25(x) + F_49(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_14(x)*F_27(x))
Eq(F_27(x), F_11(x) + F_28(x))
Eq(F_28(x), F_25(x) + F_29(x))
Eq(F_29(x), F_30(x) + F_39(x) + F_7(x))
Eq(F_30(x), F_14(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_34(x))
Eq(F_32(x), F_14(x) + F_33(x))
Eq(F_33(x), F_23(x))
Eq(F_34(x), F_35(x) + F_37(x))
Eq(F_35(x), F_30(x) + F_36(x) + F_7(x))
Eq(F_36(x), F_14(x)*F_25(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_14(x)*F_29(x))
Eq(F_39(x), F_14(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_25(x) + F_35(x))
Eq(F_42(x), F_29(x) + F_43(x))
Eq(F_43(x), F_38(x) + F_44(x) + F_45(x) + F_7(x))
Eq(F_44(x), 0)
Eq(F_45(x), F_14(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_48(x))
Eq(F_47(x), F_35(x))
Eq(F_48(x), F_43(x))
Eq(F_49(x), F_50(x) + F_7(x) + F_71(x))
Eq(F_50(x), F_14(x)*F_51(x))
Eq(F_51(x), F_52(x) + F_59(x))
Eq(F_52(x), F_14(x) + F_53(x))
Eq(F_53(x), F_54(x) + F_58(x) + F_7(x))
Eq(F_54(x), F_14(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_57(x))
Eq(F_56(x), F_14(x))
Eq(F_57(x), F_53(x))
Eq(F_58(x), F_12(x)*F_14(x))
Eq(F_59(x), F_60(x) + F_62(x))
Eq(F_60(x), F_50(x) + F_61(x) + F_7(x))
Eq(F_61(x), F_14(x)*F_25(x))
Eq(F_62(x), F_63(x) + F_64(x) + F_7(x) + F_70(x))
Eq(F_63(x), 0)
Eq(F_64(x), F_14(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_68(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_61(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_64(x) + 2*F_7(x) + F_70(x))
Eq(F_70(x), F_14(x)*F_49(x))
Eq(F_71(x), F_14(x)*F_72(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_25(x) + F_67(x))
Eq(F_74(x), F_49(x) + F_69(x))
Eq(F_75(x), F_76(x)/F_14(x))
Eq(F_76(x), -F_464(x) - F_7(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_14(x)*F_79(x))
Eq(F_79(x), F_442(x) + F_462(x) + F_80(x) + F_81(x))
Eq(F_80(x), F_1(x) + F_25(x))
Eq(F_81(x), F_14(x)*F_82(x))
Eq(F_82(x), F_336(x) + F_83(x))
Eq(F_83(x), F_84(x, 1))
Eq(F_84(x, k_0), F_124(x, k_0) + F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0)*F_9(x))
Eq(F_86(x, k_0), F_1(x) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0)*F_90(x, k_0))
Eq(F_89(x, k_0), k_0*x)
Eq(F_90(x, k_0), F_103(x, k_0) + F_91(x, k_0))
Eq(F_91(x, k_0), F_1(x) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_89(x, k_0)*F_94(x, k_0))
Eq(F_94(x, k_0), F_95(x, k_0) + F_96(x, k_0))
Eq(F_95(x, k_0), F_1(x) + F_89(x, k_0))
Eq(F_96(x, k_0), F_92(x, k_0) + F_97(x, k_0))
Eq(F_97(x, k_0), F_102(x, k_0) + F_7(x) + F_98(x, k_0))
Eq(F_98(x, k_0), F_89(x, k_0)*F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_101(x, k_0))
Eq(F_100(x, k_0), F_89(x, k_0))
Eq(F_101(x, k_0), F_97(x, k_0))
Eq(F_102(x, k_0), F_89(x, k_0)*F_92(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0) + F_87(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0) + F_114(x, k_0) + F_7(x))
Eq(F_105(x, k_0), F_106(x, k_0)*F_89(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0) + F_109(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0) + F_89(x, k_0))
Eq(F_108(x, k_0), F_102(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0) + F_112(x, k_0))
Eq(F_110(x, k_0), F_105(x, k_0) + F_111(x, k_0) + F_7(x))
Eq(F_111(x, k_0), F_87(x, k_0)*F_89(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_113(x, k_0), F_104(x, k_0)*F_89(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_89(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_117(x, k_0))
Eq(F_116(x, k_0), F_110(x, k_0) + F_87(x, k_0))
Eq(F_117(x, k_0), F_104(x, k_0) + F_118(x, k_0))
Eq(F_118(x, k_0), F_113(x, k_0) + F_119(x, k_0) + F_120(x, k_0) + F_7(x))
Eq(F_119(x, k_0), 0)
Eq(F_120(x, k_0), F_121(x, k_0)*F_89(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0) + F_123(x, k_0))
Eq(F_122(x, k_0), F_110(x, k_0))
Eq(F_123(x, k_0), F_118(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0)*F_89(x, k_0)*F_90(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_334(x, k_0))
Eq(F_127(x, k_0), F_128(x)*F_331(x, k_0))
Eq(F_128(x), F_129(x) - F_326(x))
Eq(F_129(x), F_130(x, 1))
Eq(F_130(x, k_0), F_131(x, k_0) + F_321(x, k_0))
Eq(F_131(x, k_0), F_1(x) + F_132(x, k_0) + F_314(x, k_0) + F_318(x, k_0) + F_319(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0)*F_14(x))
Eq(F_133(x, k_0), F_134(x, k_0) + F_312(x, k_0))
Eq(F_134(x, k_0), (k_0*F_135(x, k_0) - F_135(x, 1))/(k_0 - 1))
Eq(F_135(x, k_0), F_136(x, k_0) + F_4(x))
Eq(F_137(x, k_0), -F_136(x, k_0) + (-k_0*F_136(x, k_0) + F_136(x, 1))/(1 - k_0))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), (-k_0*F_139(x, k_0) + F_139(x, 1))/(1 - k_0))
Eq(F_139(x, k_0), F_140(x) + F_186(x, k_0))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_14(x)*F_142(x))
Eq(F_142(x), F_143(x) + F_180(x) + F_4(x))
Eq(F_143(x), F_144(x) - F_146(x) - F_4(x))
Eq(F_144(x), F_145(x)/F_14(x))
Eq(F_145(x), F_6(x))
Eq(F_146(x), F_14(x)*F_147(x))
Eq(F_147(x), F_148(x, 1))
Eq(F_149(x, k_0), F_14(x)*F_148(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0))
Eq(F_151(x, k_0), F_150(x, k_0) + F_169(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0) + F_4(x))
Eq(F_152(x, k_0), F_153(x, k_0) + F_155(x, k_0) + F_167(x, k_0) + F_7(x))
Eq(F_153(x, k_0), F_14(x)*F_154(x, k_0))
Eq(F_154(x, k_0), -F_136(x, 1) + (k_0*F_136(x, k_0) - F_136(x, 1))/(k_0 - 1))
Eq(F_155(x, k_0), F_156(x, k_0)*F_89(x, k_0))
Eq(F_156(x, k_0), F_151(x, k_0) + F_157(x, k_0))
Eq(F_157(x, k_0), k_0*F_158(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0) + F_161(x, k_0) + F_163(x, k_0) + F_164(x, k_0) + F_7(x))
Eq(F_159(x, k_0), F_14(x)*F_160(x, k_0))
Eq(F_160(x, k_0), (k_0*F_139(x, k_0) - F_139(x, 1))/(k_0 - 1))
Eq(F_161(x, k_0), F_162(x, k_0))
Eq(F_162(x, k_0), F_158(x, k_0)*F_89(x, k_0))
Eq(F_163(x, k_0), F_14(x)*F_151(x, k_0))
Eq(F_164(x, k_0), F_14(x)*F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), -F_152(x, k_0) + (-k_0*F_152(x, k_0) + F_152(x, 1))/(1 - k_0))
Eq(F_167(x, k_0), F_14(x)*F_168(x, k_0))
Eq(F_168(x, k_0), -F_152(x, 1) + (-k_0*F_152(x, k_0) + F_152(x, 1))/(1 - k_0))
Eq(F_169(x, k_0), F_170(x, k_0) + F_5(x))
Eq(F_170(x, k_0), F_171(x, k_0) + F_178(x, k_0) + F_7(x))
Eq(F_171(x, k_0), F_172(x, k_0)*F_89(x, k_0))
Eq(F_172(x, k_0), F_169(x, k_0) + F_173(x, k_0))
Eq(F_173(x, k_0), k_0*F_174(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0))
Eq(F_175(x, k_0), F_14(x)*F_176(x, k_0))
Eq(F_177(x, k_0), F_176(x, k_0)*F_89(x, k_0))
Eq(F_177(x, k_0), F_170(x, k_0))
Eq(F_178(x, k_0), F_14(x)*F_179(x, k_0))
Eq(F_179(x, k_0), -F_170(x, 1) + (-k_0*F_170(x, k_0) + F_170(x, 1))/(1 - k_0))
Eq(F_180(x), F_181(x) - F_183(x) - F_4(x))
Eq(F_181(x), F_182(x)/F_14(x))
Eq(F_182(x), F_77(x))
Eq(F_183(x), F_14(x)*F_184(x))
Eq(F_184(x), F_185(x)/F_14(x))
Eq(F_185(x), F_75(x))
Eq(F_186(x, k_0), F_187(x, k_0))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0)*F_89(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0) + F_308(x, k_0))
Eq(F_190(x, k_0), F_191(x, k_0))
Eq(F_191(x, k_0), F_14(x)*F_192(x, k_0))
Eq(F_193(x, k_0), F_192(x, k_0)*F_89(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0))
Eq(F_194(x, k_0), F_136(x, k_0) + F_195(x, k_0) + F_196(x, k_0))
Eq(F_195(x, k_0), F_194(x, k_0)*F_89(x, k_0))
Eq(F_196(x, k_0), F_14(x)*F_197(x, k_0))
Eq(F_197(x, k_0), F_198(x, k_0) + F_258(x, k_0))
Eq(F_199(x, k_0), F_198(x, k_0) + F_236(x, k_0))
Eq(F_200(x, k_0), F_199(x, k_0) + F_203(x, k_0))
Eq(F_201(x, k_0), F_200(x, k_0)*F_89(x, k_0))
Eq(F_201(x, k_0), F_202(x, k_0))
Eq(F_202(x, k_0), -F_136(x, 1) + (-k_0*F_136(x, k_0) + F_136(x, 1))/(1 - k_0))
Eq(F_203(x, k_0), F_204(x, k_0))
Eq(F_204(x, k_0), F_14(x)*F_205(x, k_0)*F_228(x))
Eq(F_206(x, k_0), F_14(x)*F_205(x, k_0))
Eq(F_206(x, k_0), F_207(x, k_0))
Eq(F_208(x, k_0), F_135(x, k_0) + F_207(x, k_0))
Eq(F_208(x, k_0), F_209(x) + F_227(x, k_0))
Eq(F_209(x), F_210(x) - F_224(x))
Eq(F_210(x), F_211(x)/F_14(x))
Eq(F_211(x), -F_1(x) - F_212(x) - F_220(x) + F_9(x))
Eq(F_212(x), F_14(x)*F_213(x))
Eq(F_213(x), F_214(x, 1))
Eq(F_214(x, k_0), F_215(x, k_0) + F_9(x))
Eq(F_215(x, k_0), k_0*F_216(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_14(x)*F_218(x))
Eq(F_218(x), F_219(x)/F_14(x))
Eq(F_219(x), F_143(x))
Eq(F_220(x), F_14(x)*F_221(x))
Eq(F_221(x), F_222(x) + F_9(x))
Eq(F_222(x), F_223(x, 1))
Eq(F_131(x, k_0), F_223(x, k_0) + F_9(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_213(x) - F_226(x))
Eq(F_226(x), F_140(x) + F_4(x))
Eq(F_227(x, k_0), F_136(x, k_0) + F_187(x, k_0))
Eq(F_228(x), F_229(x, 1))
Eq(F_229(x, k_0), F_230(x) + F_231(x, k_0))
Eq(F_230(x), F_169(x, 1))
Eq(F_231(x, k_0), F_232(x, k_0))
Eq(F_232(x, k_0), F_230(x)*F_233(x, k_0)*F_89(x, k_0))
Eq(F_233(x, k_0), F_1(x) + F_234(x, k_0) + F_235(x, k_0))
Eq(F_234(x, k_0), F_233(x, k_0)*F_89(x, k_0))
Eq(F_235(x, k_0), F_14(x)*F_229(x, k_0))
Eq(F_236(x, k_0), F_237(x) + F_256(x, k_0))
Eq(F_237(x), F_238(x) - F_241(x))
Eq(F_238(x), F_239(x)/F_14(x))
Eq(F_239(x), F_240(x))
Eq(F_240(x), F_217(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_14(x)*F_228(x)*F_243(x))
Eq(F_243(x), F_181(x) - F_244(x))
Eq(F_244(x), F_183(x) + F_245(x) + F_7(x))
Eq(F_245(x), F_14(x)*F_246(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_147(x) - F_248(x))
Eq(F_248(x), F_249(x)/F_14(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_251(x) - F_4(x))
Eq(F_251(x), F_144(x) - F_252(x))
Eq(F_252(x), F_253(x, k_0))
Eq(F_254(x, k_0), F_205(x, k_0) + F_253(x, k_0))
Eq(F_255(x, k_0), F_254(x, k_0)*F_89(x, k_0))
Eq(F_255(x, k_0), F_136(x, k_0))
Eq(F_256(x, k_0), F_257(x, k_0))
Eq(F_257(x, k_0), F_229(x, k_0)*F_243(x)*F_89(x, k_0))
Eq(F_259(x, k_0), F_258(x, k_0) + F_292(x))
Eq(F_259(x, k_0), F_260(x, k_0))
Eq(F_260(x, k_0), F_14(x)*F_228(x)*F_261(x, k_0))
Eq(F_262(x, k_0), F_14(x)*F_261(x, k_0))
Eq(F_262(x, k_0), F_263(x, k_0))
Eq(F_263(x, k_0), F_264(x, k_0) + F_280(x, k_0) + F_282(x, k_0) + F_283(x, k_0) + F_7(x))
Eq(F_264(x, k_0), F_14(x)*F_265(x, k_0))
Eq(F_265(x, k_0), F_216(x) + F_266(x, k_0))
Eq(F_266(x, k_0), k_0*F_267(x))
Eq(F_267(x), -F_216(x) + F_268(x))
Eq(F_268(x), F_269(x)/F_14(x))
Eq(F_269(x), F_270(x) - F_275(x) - F_277(x) - F_278(x) - F_7(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), -F_210(x) + F_272(x))
Eq(F_272(x), F_128(x) + F_273(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_207(x, 1))
Eq(F_275(x), F_276(x))
Eq(F_276(x), F_14(x)*F_270(x))
Eq(F_277(x), F_14(x)*F_9(x))
Eq(F_278(x), F_14(x)*F_279(x))
Eq(F_279(x), F_222(x))
Eq(F_280(x, k_0), F_281(x, k_0))
Eq(F_281(x, k_0), F_263(x, k_0)*F_89(x, k_0))
Eq(F_282(x, k_0), F_135(x, k_0)*F_14(x))
Eq(F_283(x, k_0), F_14(x)*F_284(x, k_0))
Eq(F_284(x, k_0), F_285(x, k_0))
Eq(F_286(x, k_0), F_135(x, k_0) + F_285(x, k_0))
Eq(F_287(x, k_0), F_14(x)*F_286(x, k_0))
Eq(F_135(x, k_0), F_1(x) + F_287(x, k_0) + F_288(x, k_0) + F_289(x, k_0))
Eq(F_288(x, k_0), F_14(x)*F_214(x, k_0))
Eq(F_289(x, k_0), F_290(x, k_0)*F_89(x, k_0))
Eq(F_290(x, k_0), F_135(x, k_0) + F_291(x, k_0))
Eq(F_291(x, k_0), k_0*F_207(x, k_0))
Eq(F_292(x), F_293(x) - F_294(x))
Eq(F_293(x), F_259(x, 1))
Eq(F_294(x), F_295(x) - F_311(x))
Eq(F_295(x), F_296(x)/F_14(x))
Eq(F_296(x), -F_240(x) + F_297(x) - F_310(x))
Eq(F_297(x), F_218(x) - F_298(x))
Eq(F_298(x), F_299(x) - F_302(x))
Eq(F_299(x), F_237(x) + F_300(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_14(x)*F_228(x)*F_243(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_304(x) - F_306(x))
Eq(F_304(x), F_305(x)/F_14(x))
Eq(F_305(x), F_225(x))
Eq(F_306(x), F_299(x) + F_307(x))
Eq(F_307(x), F_308(x, 1))
Eq(F_308(x, k_0), F_309(x, k_0))
Eq(F_309(x, k_0), F_14(x)*F_233(x, k_0)*F_243(x))
Eq(F_310(x), F_14(x)*F_297(x))
Eq(F_311(x), F_198(x, 1))
Eq(F_312(x, k_0), F_313(x, k_0))
Eq(F_313(x, k_0), -F_136(x, k_0) + (k_0*F_136(x, k_0) - F_136(x, 1))/(k_0 - 1))
Eq(F_314(x, k_0), F_14(x)*F_315(x, k_0))
Eq(F_315(x, k_0), F_210(x) + F_316(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0))
Eq(F_317(x, k_0), k_0*F_270(x))
Eq(F_318(x, k_0), F_130(x, k_0)*F_89(x, k_0))
Eq(F_319(x, k_0), F_14(x)*F_320(x, k_0))
Eq(F_320(x, k_0), (-k_0*F_131(x, k_0) + F_131(x, 1))/(1 - k_0))
Eq(F_321(x, k_0), k_0*F_322(x, k_0))
Eq(F_322(x, k_0), F_323(x, k_0))
Eq(F_323(x, k_0), F_14(x)*F_324(x, k_0))
Eq(F_325(x, k_0), F_324(x, k_0)*F_89(x, k_0))
Eq(F_325(x, k_0), F_223(x, k_0))
Eq(F_326(x), F_327(x, 1))
Eq(F_328(x, k_0), -F_327(x, 1) + (-k_0*F_327(x, k_0) + F_327(x, 1))/(1 - k_0))
Eq(F_329(x, k_0), F_129(x) + F_328(x, k_0))
Eq(F_329(x, k_0), (-k_0*F_330(x, k_0) + F_330(x, 1))/(1 - k_0))
Eq(F_330(x, k_0), F_131(x, k_0) + F_322(x, k_0))
Eq(F_331(x, k_0), F_1(x) + F_332(x, k_0))
Eq(F_332(x, k_0), F_333(x, k_0))
Eq(F_333(x, k_0), F_331(x, k_0)*F_89(x, k_0))
Eq(F_334(x, k_0), F_335(x, k_0))
Eq(F_335(x, k_0), F_128(x)*F_331(x, k_0)**2*F_89(x, k_0))
Eq(F_336(x), F_337(x, 1))
Eq(F_337(x, k_0), F_338(x, k_0))
Eq(F_338(x, k_0), F_14(x)*F_339(x, k_0))
Eq(F_339(x, k_0), F_340(x, k_0) + F_417(x))
Eq(F_340(x, k_0), F_341(x, k_0)*F_355(x))
Eq(F_342(x, k_0), F_14(x)*F_341(x, k_0))
Eq(F_342(x, k_0), F_343(x, k_0))
Eq(F_148(x, k_0), F_135(x, k_0) + F_343(x, k_0) + F_344(x, k_0) + F_353(x, k_0))
Eq(F_344(x, k_0), F_345(x, k_0))
Eq(F_345(x, k_0), F_346(x, k_0)*F_89(x, k_0))
Eq(F_347(x, k_0), F_14(x)*F_346(x, k_0))
Eq(F_347(x, k_0), F_348(x, k_0))
Eq(F_349(x, k_0), F_348(x, k_0)*F_89(x, k_0))
Eq(F_150(x, k_0), F_349(x, k_0) + F_350(x, k_0) + F_351(x, k_0) + F_7(x))
Eq(F_350(x, k_0), F_134(x, k_0)*F_14(x))
Eq(F_351(x, k_0), F_14(x)*F_352(x, k_0))
Eq(F_352(x, k_0), (-k_0*F_150(x, k_0) + F_150(x, 1))/(1 - k_0))
Eq(F_353(x, k_0), F_14(x)*F_354(x, k_0))
Eq(F_354(x, k_0), (-k_0*F_148(x, k_0) + F_148(x, 1))/(1 - k_0))
Eq(F_355(x), F_356(x) + F_80(x))
Eq(F_356(x), F_357(x) + F_360(x))
Eq(F_357(x), F_358(x))
Eq(F_358(x), F_14(x)*F_359(x))
Eq(F_359(x), F_1(x) + F_357(x))
Eq(F_360(x), F_361(x) + F_376(x) + F_7(x))
Eq(F_361(x), F_14(x)*F_362(x))
Eq(F_362(x), F_12(x) + F_363(x))
Eq(F_363(x), F_364(x))
Eq(F_364(x), F_14(x)*F_365(x))
Eq(F_365(x), F_366(x) + F_369(x))
Eq(F_366(x), F_357(x) + F_367(x))
Eq(F_367(x), F_368(x))
Eq(F_368(x), F_14(x)*F_357(x))
Eq(F_369(x), F_363(x) + F_370(x))
Eq(F_370(x), F_371(x) + F_375(x) + 2*F_7(x))
Eq(F_371(x), F_14(x)*F_372(x))
Eq(F_372(x), F_373(x) + F_374(x))
Eq(F_373(x), F_367(x))
Eq(F_374(x), F_370(x))
Eq(F_375(x), F_14(x)*F_363(x))
Eq(F_376(x), F_14(x)*F_377(x))
Eq(F_377(x), F_378(x) + F_390(x))
Eq(F_378(x), F_357(x) + F_379(x))
Eq(F_379(x), F_380(x) + F_382(x) + F_7(x))
Eq(F_380(x), F_14(x)*F_381(x))
Eq(F_381(x), F_14(x) + F_367(x))
Eq(F_382(x), F_14(x)*F_383(x))
Eq(F_383(x), F_366(x) + F_384(x))
Eq(F_384(x), F_379(x) + F_385(x))
Eq(F_385(x), F_386(x) + F_389(x) + 2*F_7(x))
Eq(F_386(x), F_14(x)*F_387(x))
Eq(F_387(x), F_373(x) + F_388(x))
Eq(F_388(x), F_385(x))
Eq(F_389(x), F_14(x)*F_379(x))
Eq(F_390(x), F_360(x) + F_391(x))
Eq(F_391(x), F_392(x) + F_394(x) + F_413(x) + F_7(x))
Eq(F_392(x), F_14(x)*F_393(x))
Eq(F_393(x), F_370(x) + F_53(x))
Eq(F_394(x), F_14(x)*F_395(x))
Eq(F_395(x), F_396(x) + F_400(x))
Eq(F_396(x), F_397(x) + F_398(x))
Eq(F_397(x), F_368(x) + F_380(x) + F_7(x))
Eq(F_398(x), F_386(x) + F_389(x) + F_399(x) + F_7(x))
Eq(F_399(x), 0)
Eq(F_400(x), F_401(x) + F_403(x))
Eq(F_401(x), F_392(x) + F_394(x) + F_402(x) + F_7(x))
Eq(F_402(x), F_14(x)*F_360(x))
Eq(F_403(x), F_404(x) + F_405(x) + F_406(x) + F_412(x) + F_7(x))
Eq(F_404(x), 0)
Eq(F_405(x), 0)
Eq(F_406(x), F_14(x)*F_407(x))
Eq(F_407(x), F_408(x) + F_410(x))
Eq(F_408(x), F_409(x))
Eq(F_409(x), F_402(x))
Eq(F_410(x), F_411(x))
Eq(F_411(x), F_406(x) + F_412(x) + 3*F_7(x))
Eq(F_412(x), F_14(x)*F_391(x))
Eq(F_413(x), F_14(x)*F_414(x))
Eq(F_414(x), F_415(x) + F_416(x))
Eq(F_415(x), F_360(x) + F_409(x))
Eq(F_416(x), F_391(x) + F_411(x))
Eq(F_417(x), F_418(x))
Eq(F_418(x), F_14(x)*F_359(x)*F_419(x)*F_420(x))
Eq(F_419(x), F_205(x, 1))
Eq(F_420(x), F_421(x)/(F_14(x)*F_359(x)*F_9(x)))
Eq(F_421(x), F_422(x))
Eq(F_422(x), F_423(x) - F_439(x))
Eq(F_423(x), F_424(x) + F_437(x))
Eq(F_424(x), F_425(x) - F_432(x))
Eq(F_425(x), F_426(x) + F_430(x))
Eq(F_426(x), F_427(x) + F_428(x))
Eq(F_427(x), F_128(x)*F_355(x))
Eq(F_428(x), F_429(x))
Eq(F_429(x), F_14(x)*F_355(x)*F_419(x))
Eq(F_430(x), F_431(x))
Eq(F_431(x), F_124(x, 1))
Eq(F_432(x), F_433(x))
Eq(F_433(x), F_434(x) + F_435(x))
Eq(F_434(x), F_270(x)*F_355(x))
Eq(F_435(x), F_436(x))
Eq(F_436(x), F_14(x)*F_270(x)*F_359(x)*F_420(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_274(x)*F_355(x))
Eq(F_439(x), F_440(x) + F_441(x))
Eq(F_440(x), F_210(x)*F_355(x))
Eq(F_441(x), F_429(x))
Eq(F_442(x), F_443(x, 1))
Eq(F_443(x, k_0), F_444(x, k_0)*F_89(x, k_0))
Eq(F_444(x, k_0), F_445(x, k_0) + F_455(x, k_0))
Eq(F_445(x, k_0), F_443(x, k_0) + F_446(x, k_0) + F_453(x, k_0) + F_80(x))
Eq(F_446(x, k_0), F_14(x)*F_447(x, k_0))
Eq(F_447(x, k_0), F_337(x, k_0) + F_448(x, k_0))
Eq(F_448(x, k_0), F_449(x, k_0) + F_450(x, k_0))
Eq(F_449(x, k_0), F_135(x, k_0)*F_80(x))
Eq(F_450(x, k_0), F_451(x, k_0))
Eq(F_451(x, k_0), F_422(x) + F_452(x, k_0))
Eq(F_452(x, k_0), k_0*F_435(x))
Eq(F_453(x, k_0), F_14(x)*F_454(x, k_0))
Eq(F_454(x, k_0), (-k_0*F_445(x, k_0) + F_445(x, 1))/(1 - k_0))
Eq(F_455(x, k_0), k_0*F_456(x, k_0))
Eq(F_456(x, k_0), F_457(x, k_0))
Eq(F_457(x, k_0), F_14(x)*F_458(x, k_0))
Eq(F_459(x, k_0), F_458(x, k_0)*F_89(x, k_0))
Eq(F_459(x, k_0), F_460(x, k_0))
Eq(F_461(x, k_0), -F_460(x, 1) + (-k_0*F_460(x, k_0) + F_460(x, 1))/(1 - k_0))
Eq(F_454(x, k_0), F_461(x, k_0) + F_79(x))
Eq(F_462(x), F_14(x)*F_463(x))
Eq(F_463(x), F_454(x, 1))
Eq(F_464(x), F_14(x)*F_465(x))
Eq(F_465(x), F_230(x) + F_466(x))
Eq(F_466(x), F_150(x, 1))
Eq(F_467(x), F_14(x)*F_466(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 2, 3, 4, 0], [1, 2, 4, 3, 0], [2, 1, 3, 4, 0], [2, 1, 4, 3, 0], [3, 1, 2, 4, 0]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 0], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 0], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 3, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 0], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 4, 3, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 3, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [2, 1, 4, 3, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 0]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [3, 1, 2, 4, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 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