01234_01243_02134_02143_02314_20134_20143_20314

Counting sequence:
1, 1, 2, 6, 24, 112, 563, 2947, 15843, 86881, 483944, 2729835, 15558878, 89452188, 518102047, 3020041993, 17702419901, 104276698699, 616934298853, 3664273410690, 21840615479622, 130594585438830, 783148265675131, 4708829743826551, 28381638336222500, 171448673018626933, 1037837451309331700, 6294447722319423802, 38243756738991774737, 232747839088880440806, 1418684264356378461204, 8660005354294796704167, 52935154706163958733219, 323987773792052079405173, 1985360308976707860185148, 12179989764352650122074994, 74803928341780367547058468, 459882584918958815661058938, 2830034406196369648500105177, 17431610597670056733809915753, 107464441065478319241932201184, 663063854333190347852788125678, 4094419496199098095357159650497, 25302300269466690476776857176581, 156474542190387063587354294531426, 968344035146088848562004021256111, 5996601019145215569342655839335041, 37158492407273314568261465789146260, 230397198063455433398189607003903799, 1429393735712195172576286695775610447, 8873034135954637757494588546151303064, 55109773586768393754424158359667033508, 342462033492980745094078927911599167911, 2129193796270457302958190284330901893467, 13244299518868594316101531114471425702562, 82422606498697747634476117328396523838692, 513168685232589725363289996542053481124443, 3196418761303075395783736899244171991120376, 19918220191651182101354167276040439998712563, 124169419858248469196052307499926199277143733, 774373119686777730285065843543499727877814044, 4831165204668973153445596944554120496530974000, 30151871934147485688647956247077142727883190915, 188248904060058983643544284672992758800354097034, 1175713925973727754556026311688258084119406112492, 7345432233737446679426225339979321752932051137661, 45906607643992835577295750710775762630386917895428, 286992831186136133580517008567003462783451257556815, 1794737478405182944311708940555897585785367241259444, 11226930992717105683470907113924594810997881889415126, 70250233838474130843607344105755810429248129547569704, 439701156497987354542761958774519385543823823380040869, 2752879552927534685716352425253608279716392609765420581, 17239845580329578435274634644167113703240463086482597516, 107992354680909258928106132283335020198277930378125633539, 676648568620036514622589054884318147585421096721898948441, 4240733649043568844821750311782363936882038168651138058304, 26584210098857839921146952002073847856995005353991710289592, 166689723926023063038548751491758191706671600329279732401456, 1045426877867361745065772929172569577046262696867490277651058, 6558066588090043809706602263497357974677012473673617634974464, 41148400292923923705786571437654639095354665495954079321517139, 258239573408446078405384883563487600049496136075018661486115587, 1621000517324985766347132706762169354541643559159691787703642779, 10177284588046705865757345566453576490588330988785686264736117051, 63909740563850388095893512849641989979577410256422598201349873785, 401408526206350356159343079838028559561194029705821841068371875388, 2521672215566570106829366630382529486994516087490881001823456842776, 15844237307284139314030404866696714646199148856503578014489154408763, 99571014525397969371751340175233505333951581883601484782674736444787, 625852075027763138325022843676111702074677073049653076318504371538161, 3934467562037526634327431012341075553192997611664208482989226798754245, 24738544317267906130089057607966512261380354269035378157463563302859391, 155573153199842828393520060188410676618274662898455209950007971950420978, 978511647794350984777706663380916965263183693259690038848733782582603178, 6155547901195246869931383011446259101180754341656185922362544576079590855, 38728919758483343752735961540644535457554658263665474123233422308496740340, 243708474248719359963619548839445049183073595302613652131068266200257165781, 1533808442273712066082031706601412670205547133446338490884112203074132775639, 9654628558991420326437638928742030330187133612936461554795398007605703665181, 60780282464080911816439743743039160741046835193696165677812103299309566864650

Specification 1
Strategy pack name: point_placements_tracked_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24637/
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[171,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[171,x]*F[7,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[142,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[137,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[50,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[16,x,k[0]]+F[29,x,k[0]]
F[16,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[14,x,k[0]]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]+F[21,x,k[0]]
F[20,x,k[0]] = F[1,x]+F[14,x,k[0]]
F[21,x,k[0]] = F[17,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x]+F[24,x,k[0]]+F[28,x,k[0]]
F[23,x] = 0
F[24,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[27,x,k[0]]
F[26,x,k[0]] = F[14,x,k[0]]
F[27,x,k[0]] = F[22,x,k[0]]
F[28,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[29,x,k[0]] = F[12,x,k[0]]+F[30,x,k[0]]
F[30,x,k[0]] = F[23,x]+F[31,x,k[0]]+F[46,x,k[0]]
F[31,x,k[0]] = F[14,x,k[0]]*F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]+F[34,x,k[0]]
F[33,x,k[0]] = F[14,x,k[0]]+F[22,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]+F[37,x,k[0]]
F[35,x,k[0]] = F[23,x]+F[31,x,k[0]]+F[36,x,k[0]]
F[36,x,k[0]] = F[12,x,k[0]]*F[14,x,k[0]]
F[37,x,k[0]] = F[23,x]+F[38,x,k[0]]+F[39,x,k[0]]+F[45,x,k[0]]
F[38,x,k[0]] = 0
F[39,x,k[0]] = F[14,x,k[0]]*F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[43,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[36,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = 2*F[23,x]+F[39,x,k[0]]+F[45,x,k[0]]
F[45,x,k[0]] = F[14,x,k[0]]*F[30,x,k[0]]
F[46,x,k[0]] = F[14,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]+F[49,x,k[0]]
F[48,x,k[0]] = F[12,x,k[0]]+F[42,x,k[0]]
F[49,x,k[0]] = F[30,x,k[0]]+F[44,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]+F[62,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = F[14,x,k[0]]*F[53,x,k[0]]
F[53,x,k[0]] = F[20,x,k[0]]+F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]+F[58,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[14,x,k[0]]*F[57,x,k[0]]
F[57,x,k[0]] = F[1,x]+F[55,x,k[0]]
F[58,x,k[0]] = F[23,x]+F[59,x,k[0]]+F[61,x,k[0]]
F[59,x,k[0]] = F[14,x,k[0]]*F[60,x,k[0]]
F[60,x,k[0]] = F[14,x,k[0]]+F[58,x,k[0]]
F[61,x,k[0]] = F[14,x,k[0]]*F[55,x,k[0]]
F[62,x,k[0]] = F[23,x]+F[63,x,k[0]]+F[92,x,k[0]]
F[63,x,k[0]] = F[14,x,k[0]]*F[64,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]+F[78,x,k[0]]
F[65,x,k[0]] = F[17,x,k[0]]+F[66,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]
F[67,x,k[0]] = F[14,x,k[0]]*F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]+F[71,x,k[0]]
F[69,x,k[0]] = F[55,x,k[0]]+F[70,x,k[0]]
F[70,x,k[0]] = F[61,x,k[0]]
F[71,x,k[0]] = F[66,x,k[0]]+F[72,x,k[0]]
F[72,x,k[0]] = 2*F[23,x]+F[73,x,k[0]]+F[77,x,k[0]]
F[73,x,k[0]] = F[14,x,k[0]]*F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]+F[76,x,k[0]]
F[75,x,k[0]] = F[70,x,k[0]]
F[76,x,k[0]] = F[72,x,k[0]]
F[77,x,k[0]] = F[14,x,k[0]]*F[66,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[14,x,k[0]]*F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]+F[85,x,k[0]]
F[82,x,k[0]] = F[51,x,k[0]]+F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[14,x,k[0]]*F[51,x,k[0]]
F[85,x,k[0]] = F[79,x,k[0]]+F[86,x,k[0]]
F[86,x,k[0]] = 2*F[23,x]+F[87,x,k[0]]+F[91,x,k[0]]
F[87,x,k[0]] = F[14,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]] = F[83,x,k[0]]
F[90,x,k[0]] = F[86,x,k[0]]
F[91,x,k[0]] = F[14,x,k[0]]*F[79,x,k[0]]
F[92,x,k[0]] = F[14,x,k[0]]*F[93,x,k[0]]
F[93,x,k[0]] = F[108,x,k[0]]+F[94,x,k[0]]
F[94,x,k[0]] = F[51,x,k[0]]+F[95,x,k[0]]
F[95,x,k[0]] = F[100,x,k[0]]+F[23,x]+F[96,x,k[0]]
F[96,x,k[0]] = F[14,x,k[0]]*F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]+F[99,x,k[0]]
F[98,x,k[0]] = F[14,x,k[0]]+F[70,x,k[0]]
F[99,x,k[0]] = F[83,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]*F[14,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]+F[82,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]+F[95,x,k[0]]
F[103,x,k[0]] = 2*F[23,x]+F[104,x,k[0]]+F[107,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]*F[14,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]+F[89,x,k[0]]
F[106,x,k[0]] = F[103,x,k[0]]
F[107,x,k[0]] = F[14,x,k[0]]*F[95,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]+F[62,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]+F[114,x,k[0]]+F[133,x,k[0]]+F[23,x]
F[110,x,k[0]] = F[111,x,k[0]]*F[14,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[113,x,k[0]]
F[112,x,k[0]] = F[22,x,k[0]]+F[72,x,k[0]]
F[113,x,k[0]] = F[86,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[14,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[120,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]+F[118,x,k[0]]
F[117,x,k[0]] = F[23,x]+F[84,x,k[0]]+F[96,x,k[0]]
F[118,x,k[0]] = F[104,x,k[0]]+F[107,x,k[0]]+F[119,x,k[0]]+F[23,x]
F[119,x,k[0]] = 0
F[120,x,k[0]] = F[121,x,k[0]]+F[123,x,k[0]]
F[121,x,k[0]] = F[110,x,k[0]]+F[114,x,k[0]]+F[122,x,k[0]]+F[23,x]
F[122,x,k[0]] = F[14,x,k[0]]*F[62,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]+F[125,x,k[0]]+F[126,x,k[0]]+F[132,x,k[0]]+F[23,x]
F[124,x,k[0]] = 0
F[125,x,k[0]] = 0
F[126,x,k[0]] = F[127,x,k[0]]*F[14,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]+F[130,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[122,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]
F[131,x,k[0]] = 3*F[23,x]+F[126,x,k[0]]+F[132,x,k[0]]
F[132,x,k[0]] = F[109,x,k[0]]*F[14,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]*F[14,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]+F[136,x,k[0]]
F[135,x,k[0]] = F[129,x,k[0]]+F[62,x,k[0]]
F[136,x,k[0]] = F[109,x,k[0]]+F[131,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]+F[489,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]+F[2,x]
F[139,x,k[0]] = F[140,x,k[0]]
F[140,x,k[0]] = F[14,x,k[0]]*F[141,x,k[0]]
F[141,x,k[0]] = F[137,x,k[0]]+F[142,x,k[0]]
F[142,x,k[0]] = F[143,x,k[0]]
F[143,x,k[0]] = F[144,x,k[0]]*F[171,x]
F[144,x,k[0]] = F[145,x,k[0]]+F[146,x,k[0]]
F[145,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[146,x,k[0]] = F[147,x,k[0]]*F[51,x,k[0]]
F[147,x,k[0]] = F[148,x,k[0]]+F[396,x,k[0]]
F[148,x,k[0]] = 1/(-1+k[0])*(F[149,x,k[0]]*k[0]-F[149,x,1])
F[149,x,k[0]] = F[150,x,k[0]]+F[4,x]
F[150,x,k[0]] = F[151,x,k[0]]+F[152,x,k[0]]
F[151,x,k[0]] = F[12,x,k[0]]+F[139,x,k[0]]
F[152,x,k[0]] = F[153,x,k[0]]
F[153,x,k[0]] = F[154,x,k[0]]*F[171,x]
F[154,x,k[0]] = -k[0]*(F[155,x,1]-F[155,x,k[0]])/(-1+k[0])
F[155,x,k[0]] = F[150,x,k[0]]+F[156,x,k[0]]
F[156,x,k[0]] = F[157,x,k[0]]
F[157,x,k[0]] = F[158,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]*F[171,x]
F[159,x,k[0]] = F[160,x,k[0]]
F[160,x,k[0]] = F[14,x,k[0]]*F[16,x,k[0]]*F[161,x]*F[57,x,k[0]]
F[161,x] = F[162,x,1]
F[163,x,k[0]] = F[162,x,k[0]]*F[327,x]*F[329,x]
F[164,x,k[0]] = F[163,x,k[0]]+F[392,x,k[0]]
F[165,x,k[0]] = F[164,x,k[0]]*F[171,x]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]+F[330,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]+F[223,x,k[0]]
F[168,x,k[0]] = F[169,x]+F[181,x,k[0]]
F[169,x] = F[170,x]
F[170,x] = F[171,x]*F[172,x]
F[171,x] = x
F[172,x] = F[173,x]+F[174,x]
F[173,x] = F[1,x]+F[171,x]
F[174,x] = F[169,x]+F[175,x]
F[175,x] = F[176,x]+F[180,x]+F[23,x]
F[176,x] = F[171,x]*F[177,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[171,x]
F[179,x] = F[175,x]
F[180,x] = F[169,x]*F[171,x]
F[181,x,k[0]] = F[182,x,k[0]]+F[212,x,k[0]]+F[23,x]
F[182,x,k[0]] = F[14,x,k[0]]*F[183,x,k[0]]
F[183,x,k[0]] = F[184,x,k[0]]+F[187,x,k[0]]
F[184,x,k[0]] = F[171,x]+F[185,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]
F[186,x,k[0]] = F[17,x,k[0]]*F[171,x]
F[187,x,k[0]] = F[188,x,k[0]]+F[190,x,k[0]]
F[188,x,k[0]] = F[182,x,k[0]]+F[189,x,k[0]]+F[23,x]
F[189,x,k[0]] = F[12,x,k[0]]*F[171,x]
F[190,x,k[0]] = F[191,x,k[0]]
F[191,x,k[0]] = F[171,x]*F[192,x,k[0]]
F[192,x,k[0]] = F[193,x,k[0]]+F[202,x,k[0]]+F[23,x]
F[193,x,k[0]] = F[14,x,k[0]]*F[194,x,k[0]]
F[194,x,k[0]] = F[195,x,k[0]]+F[198,x,k[0]]
F[195,x,k[0]] = F[14,x,k[0]]+F[196,x,k[0]]
F[196,x,k[0]] = F[197,x,k[0]]
F[197,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]+F[200,x,k[0]]
F[199,x,k[0]] = k[0]*F[188,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = F[14,x,k[0]]*F[192,x,k[0]]
F[202,x,k[0]] = F[14,x,k[0]]*F[203,x,k[0]]
F[203,x,k[0]] = F[204,x,k[0]]+F[205,x,k[0]]
F[204,x,k[0]] = F[12,x,k[0]]+F[199,x,k[0]]
F[205,x,k[0]] = F[192,x,k[0]]+F[206,x,k[0]]
F[206,x,k[0]] = F[201,x,k[0]]+F[207,x,k[0]]+F[208,x,k[0]]+F[23,x]
F[207,x,k[0]] = 0
F[208,x,k[0]] = F[14,x,k[0]]*F[209,x,k[0]]
F[209,x,k[0]] = F[210,x,k[0]]+F[211,x,k[0]]
F[210,x,k[0]] = F[199,x,k[0]]
F[211,x,k[0]] = F[206,x,k[0]]
F[212,x,k[0]] = F[171,x]*F[213,x,k[0]]
F[213,x,k[0]] = F[214,x,k[0]]+F[215,x,k[0]]
F[214,x,k[0]] = F[12,x,k[0]]+F[188,x,k[0]]
F[215,x,k[0]] = F[181,x,k[0]]+F[216,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]+F[218,x,k[0]]+F[222,x,k[0]]+F[23,x]
F[217,x,k[0]] = 0
F[218,x,k[0]] = F[171,x]*F[219,x,k[0]]
F[219,x,k[0]] = F[220,x,k[0]]+F[221,x,k[0]]
F[220,x,k[0]] = F[188,x,k[0]]
F[221,x,k[0]] = F[216,x,k[0]]
F[222,x,k[0]] = F[171,x]*F[181,x,k[0]]
F[223,x,k[0]] = F[224,x,k[0]]
F[224,x,k[0]] = F[171,x]*F[225,x,k[0]]*F[326,x]*F[329,x]
F[226,x,k[0]] = F[14,x,k[0]]*F[16,x,k[0]]*F[225,x,k[0]]*F[57,x,k[0]]
F[226,x,k[0]] = F[227,x,k[0]]
F[228,x,k[0]] = F[138,x,k[0]]+F[227,x,k[0]]
F[228,x,k[0]] = F[229,x,k[0]]
F[229,x,k[0]] = F[171,x]*F[230,x,k[0]]
F[231,x,k[0]] = F[14,x,k[0]]*F[230,x,k[0]]
F[231,x,k[0]] = F[232,x,k[0]]
F[232,x,k[0]] = F[233,x,k[0]]+F[237,x,k[0]]
F[233,x,k[0]] = F[12,x,k[0]]*F[234,x]
F[234,x] = F[0,x]+F[235,x]
F[235,x] = F[236,x]
F[236,x] = F[171,x]*F[7,x]
F[237,x,k[0]] = F[238,x,k[0]]
F[238,x,k[0]] = F[14,x,k[0]]*F[239,x,k[0]]
F[239,x,k[0]] = F[240,x,k[0]]+F[241,x,k[0]]
F[240,x,k[0]] = F[12,x,k[0]]*F[145,x,k[0]]
F[241,x,k[0]] = F[147,x,k[0]]*F[242,x,k[0]]
F[242,x,k[0]] = F[243,x,k[0]]+F[51,x,k[0]]
F[243,x,k[0]] = F[23,x]+F[244,x,k[0]]+F[277,x,k[0]]
F[244,x,k[0]] = F[14,x,k[0]]*F[245,x,k[0]]
F[245,x,k[0]] = F[246,x,k[0]]+F[260,x,k[0]]
F[246,x,k[0]] = F[17,x,k[0]]+F[247,x,k[0]]
F[247,x,k[0]] = F[248,x,k[0]]
F[248,x,k[0]] = F[14,x,k[0]]*F[249,x,k[0]]
F[249,x,k[0]] = F[250,x,k[0]]+F[253,x,k[0]]
F[250,x,k[0]] = F[251,x,k[0]]+F[55,x,k[0]]
F[251,x,k[0]] = F[252,x,k[0]]
F[252,x,k[0]] = F[14,x,k[0]]*F[55,x,k[0]]
F[253,x,k[0]] = F[247,x,k[0]]+F[254,x,k[0]]
F[254,x,k[0]] = 2*F[23,x]+F[255,x,k[0]]+F[259,x,k[0]]
F[255,x,k[0]] = F[14,x,k[0]]*F[256,x,k[0]]
F[256,x,k[0]] = F[257,x,k[0]]+F[258,x,k[0]]
F[257,x,k[0]] = F[251,x,k[0]]
F[258,x,k[0]] = F[254,x,k[0]]
F[259,x,k[0]] = F[14,x,k[0]]*F[247,x,k[0]]
F[260,x,k[0]] = F[247,x,k[0]]+F[261,x,k[0]]
F[261,x,k[0]] = F[262,x,k[0]]
F[262,x,k[0]] = F[14,x,k[0]]*F[263,x,k[0]]
F[263,x,k[0]] = F[264,x,k[0]]+F[270,x,k[0]]
F[264,x,k[0]] = F[265,x,k[0]]+F[268,x,k[0]]
F[265,x,k[0]] = F[266,x,k[0]]
F[266,x,k[0]] = F[14,x,k[0]]*F[267,x,k[0]]
F[267,x,k[0]] = F[265,x,k[0]]+F[55,x,k[0]]
F[268,x,k[0]] = F[269,x,k[0]]
F[269,x,k[0]] = F[14,x,k[0]]*F[265,x,k[0]]
F[270,x,k[0]] = F[261,x,k[0]]+F[271,x,k[0]]
F[271,x,k[0]] = 3*F[23,x]+F[272,x,k[0]]+F[276,x,k[0]]
F[272,x,k[0]] = F[14,x,k[0]]*F[273,x,k[0]]
F[273,x,k[0]] = F[274,x,k[0]]+F[275,x,k[0]]
F[274,x,k[0]] = F[268,x,k[0]]
F[275,x,k[0]] = F[271,x,k[0]]
F[276,x,k[0]] = F[14,x,k[0]]*F[261,x,k[0]]
F[277,x,k[0]] = F[14,x,k[0]]*F[278,x,k[0]]
F[278,x,k[0]] = F[279,x,k[0]]+F[298,x,k[0]]
F[279,x,k[0]] = F[280,x,k[0]]+F[51,x,k[0]]
F[280,x,k[0]] = F[23,x]+F[281,x,k[0]]+F[285,x,k[0]]
F[281,x,k[0]] = F[14,x,k[0]]*F[282,x,k[0]]
F[282,x,k[0]] = F[283,x,k[0]]+F[284,x,k[0]]
F[283,x,k[0]] = F[14,x,k[0]]+F[251,x,k[0]]
F[284,x,k[0]] = F[251,x,k[0]]+F[268,x,k[0]]
F[285,x,k[0]] = F[14,x,k[0]]*F[286,x,k[0]]
F[286,x,k[0]] = F[287,x,k[0]]+F[290,x,k[0]]
F[287,x,k[0]] = F[288,x,k[0]]+F[51,x,k[0]]
F[288,x,k[0]] = F[23,x]+F[281,x,k[0]]+F[289,x,k[0]]
F[289,x,k[0]] = F[14,x,k[0]]*F[51,x,k[0]]
F[290,x,k[0]] = F[280,x,k[0]]+F[291,x,k[0]]
F[291,x,k[0]] = F[23,x]+F[292,x,k[0]]+F[293,x,k[0]]+F[297,x,k[0]]
F[292,x,k[0]] = 0
F[293,x,k[0]] = F[14,x,k[0]]*F[294,x,k[0]]
F[294,x,k[0]] = F[295,x,k[0]]+F[296,x,k[0]]
F[295,x,k[0]] = F[288,x,k[0]]
F[296,x,k[0]] = F[291,x,k[0]]
F[297,x,k[0]] = F[14,x,k[0]]*F[280,x,k[0]]
F[298,x,k[0]] = F[243,x,k[0]]+F[299,x,k[0]]
F[299,x,k[0]] = F[23,x]+F[300,x,k[0]]+F[306,x,k[0]]+F[315,x,k[0]]
F[300,x,k[0]] = F[14,x,k[0]]*F[301,x,k[0]]
F[301,x,k[0]] = F[302,x,k[0]]+F[304,x,k[0]]
F[302,x,k[0]] = F[196,x,k[0]]+F[303,x,k[0]]
F[303,x,k[0]] = F[259,x,k[0]]
F[304,x,k[0]] = F[303,x,k[0]]+F[305,x,k[0]]
F[305,x,k[0]] = F[276,x,k[0]]
F[306,x,k[0]] = F[14,x,k[0]]*F[307,x,k[0]]
F[307,x,k[0]] = F[308,x,k[0]]+F[310,x,k[0]]
F[308,x,k[0]] = F[288,x,k[0]]+F[309,x,k[0]]
F[309,x,k[0]] = F[297,x,k[0]]
F[310,x,k[0]] = F[311,x,k[0]]+F[313,x,k[0]]
F[311,x,k[0]] = F[23,x]+F[300,x,k[0]]+F[306,x,k[0]]+F[312,x,k[0]]
F[312,x,k[0]] = F[14,x,k[0]]*F[243,x,k[0]]
F[313,x,k[0]] = F[314,x,k[0]]
F[314,x,k[0]] = F[14,x,k[0]]*F[299,x,k[0]]
F[315,x,k[0]] = F[14,x,k[0]]*F[316,x,k[0]]
F[316,x,k[0]] = F[317,x,k[0]]+F[318,x,k[0]]
F[317,x,k[0]] = F[243,x,k[0]]+F[311,x,k[0]]
F[318,x,k[0]] = F[299,x,k[0]]+F[319,x,k[0]]
F[319,x,k[0]] = F[23,x]+F[314,x,k[0]]+F[320,x,k[0]]+F[321,x,k[0]]+F[322,x,k[0]]
F[320,x,k[0]] = 0
F[321,x,k[0]] = 0
F[322,x,k[0]] = F[14,x,k[0]]*F[323,x,k[0]]
F[323,x,k[0]] = F[324,x,k[0]]+F[325,x,k[0]]
F[324,x,k[0]] = F[311,x,k[0]]
F[325,x,k[0]] = F[319,x,k[0]]
F[326,x] = F[1,x]+F[327,x]
F[327,x] = F[328,x]
F[328,x] = F[171,x]*F[326,x]
F[329,x] = F[1,x]+F[169,x]
F[330,x,k[0]] = F[331,x,k[0]]
F[331,x,k[0]] = F[171,x]*F[332,x,k[0]]
F[332,x,k[0]] = 1/(-1+k[0])*(F[333,x,k[0]]*k[0]-F[333,x,1])
F[333,x,k[0]] = F[334,x,k[0]]
F[334,x,k[0]] = F[171,x]*F[335,x,k[0]]
F[335,x,k[0]] = F[336,x,k[0]]+F[340,x,k[0]]
F[336,x,k[0]] = F[337,x,k[0]]+F[387,x,k[0]]
F[338,x,k[0]] = F[337,x,k[0]]+F[340,x,k[0]]
F[339,x,k[0]] = F[171,x]*F[338,x,k[0]]
F[339,x,k[0]] = F[166,x,k[0]]
F[340,x,k[0]] = F[341,x,k[0]]
F[342,x,k[0]] = F[341,x,k[0]]+F[364,x,k[0]]
F[343,x,k[0]] = F[342,x,k[0]]+F[374,x,k[0]]
F[343,x,k[0]] = F[344,x,k[0]]+F[356,x,k[0]]
F[344,x,k[0]] = F[345,x,k[0]]+F[353,x,k[0]]
F[345,x,k[0]] = F[346,x,k[0]]*F[348,x]
F[346,x,k[0]] = F[167,x,k[0]]+F[347,x,k[0]]
F[347,x,k[0]] = F[0,x]+F[151,x,k[0]]
F[348,x] = F[1,x]+F[349,x]
F[349,x] = F[350,x]
F[350,x] = F[171,x]*F[351,x]
F[351,x] = F[326,x]+F[352,x]
F[352,x] = F[349,x]
F[353,x,k[0]] = F[354,x,k[0]]
F[354,x,k[0]] = F[171,x]*F[355,x,k[0]]
F[355,x,k[0]] = 1/(-1+k[0])*(F[343,x,k[0]]*k[0]-F[343,x,1])
F[356,x,k[0]] = F[357,x,k[0]]
F[357,x,k[0]] = F[326,x]*F[358,x,k[0]]
F[358,x,k[0]] = F[157,x,k[0]]+F[359,x]
F[359,x] = -F[0,x]+F[360,x]
F[360,x] = F[326,x]+F[361,x]
F[361,x] = F[362,x]
F[362,x] = F[171,x]*F[363,x]
F[363,x] = F[364,x,1]
F[365,x,k[0]] = F[333,x,k[0]]+F[364,x,k[0]]
F[365,x,k[0]] = F[366,x,k[0]]+F[370,x,k[0]]
F[366,x,k[0]] = F[346,x,k[0]]+F[367,x,k[0]]
F[367,x,k[0]] = F[368,x,k[0]]
F[368,x,k[0]] = F[171,x]*F[369,x,k[0]]
F[369,x,k[0]] = 1/(-1+k[0])*(F[365,x,k[0]]*k[0]-F[365,x,1])
F[370,x,k[0]] = F[371,x,k[0]]
F[371,x,k[0]] = F[358,x,k[0]]+F[372,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]
F[333,x,k[0]] = F[166,x,k[0]]+F[373,x,k[0]]
F[374,x,k[0]] = F[375,x,k[0]]+F[385,x,k[0]]
F[375,x,k[0]] = F[376,x,k[0]]
F[376,x,k[0]] = F[171,x]*F[377,x,k[0]]
F[377,x,k[0]] = F[378,x,k[0]]+F[380,x,k[0]]
F[378,x,k[0]] = F[346,x,k[0]]*F[379,x]
F[379,x] = F[327,x]+F[348,x]
F[380,x,k[0]] = F[381,x,k[0]]
F[381,x,k[0]] = F[171,x]*F[382,x,k[0]]
F[382,x,k[0]] = 1/(-1+k[0])*(F[383,x,k[0]]*k[0]-F[383,x,1])
F[384,x,k[0]] = F[171,x]*F[383,x,k[0]]
F[384,x,k[0]] = F[374,x,k[0]]
F[385,x,k[0]] = F[386,x,k[0]]
F[386,x,k[0]] = F[327,x]*F[358,x,k[0]]
F[387,x,k[0]] = F[388,x,k[0]]
F[388,x,k[0]] = F[389,x,k[0]]*F[57,x,k[0]]
F[389,x,k[0]] = F[390,x,k[0]]
F[390,x,k[0]] = F[171,x]*F[391,x,k[0]]
F[391,x,k[0]] = F[159,x,k[0]]+F[161,x]
F[393,x,k[0]] = F[392,x,k[0]]+F[395,x,k[0]]
F[394,x,k[0]] = F[171,x]*F[393,x,k[0]]
F[394,x,k[0]] = F[166,x,k[0]]
F[395,x,k[0]] = F[341,x,k[0]]
F[396,x,k[0]] = F[397,x,k[0]]
F[397,x,k[0]] = F[171,x]*F[398,x,k[0]]
F[398,x,k[0]] = F[399,x,k[0]]+F[486,x]
F[399,x,k[0]] = 1/(-1+k[0])*(F[400,x,k[0]]*k[0]-F[400,x,1])
F[401,x,k[0]] = F[400,x,k[0]]+F[486,x]
F[402,x,k[0]] = F[171,x]*F[401,x,k[0]]
F[402,x,k[0]] = F[403,x,k[0]]
F[403,x,k[0]] = F[156,x,k[0]]+F[404,x]
F[404,x] = F[405,x]+F[460,x]
F[405,x] = F[406,x]+F[414,x]
F[406,x] = F[407,x]
F[407,x] = F[171,x]*F[408,x]
F[408,x] = F[173,x]+F[409,x]
F[409,x] = F[327,x]+F[410,x]
F[410,x] = F[23,x]+F[411,x]+F[413,x]
F[411,x] = F[171,x]*F[412,x]
F[412,x] = F[171,x]+F[410,x]
F[413,x] = F[171,x]*F[327,x]
F[414,x] = F[23,x]+F[415,x]+F[434,x]
F[415,x] = F[171,x]*F[416,x]
F[416,x] = F[417,x]+F[422,x]
F[417,x] = F[327,x]+F[418,x]
F[418,x] = F[23,x]+F[419,x]+F[420,x]
F[419,x] = F[171,x]*F[327,x]
F[420,x] = F[171,x]*F[421,x]
F[421,x] = F[171,x]+F[418,x]
F[422,x] = F[423,x]+F[428,x]
F[423,x] = F[23,x]+F[424,x]+F[426,x]
F[424,x] = F[171,x]*F[425,x]
F[425,x] = F[327,x]+F[423,x]
F[426,x] = F[171,x]*F[427,x]
F[427,x] = F[327,x]+F[423,x]
F[428,x] = F[23,x]+F[429,x]+F[431,x]+F[432,x]
F[429,x] = F[171,x]*F[430,x]
F[430,x] = F[418,x]+F[428,x]
F[431,x] = F[171,x]*F[423,x]
F[432,x] = F[171,x]*F[433,x]
F[433,x] = F[410,x]+F[428,x]
F[434,x] = F[171,x]*F[435,x]
F[435,x] = F[436,x]+F[444,x]
F[436,x] = F[406,x]+F[437,x]
F[437,x] = F[438,x]
F[438,x] = F[171,x]*F[439,x]
F[439,x] = F[440,x]+F[443,x]
F[440,x] = F[406,x]+F[441,x]
F[441,x] = F[442,x]
F[442,x] = F[171,x]*F[440,x]
F[443,x] = F[437,x]
F[444,x] = F[414,x]+F[445,x]
F[445,x] = 2*F[23,x]+F[446,x]+F[450,x]
F[446,x] = F[171,x]*F[447,x]
F[447,x] = F[448,x]+F[449,x]
F[448,x] = F[437,x]
F[449,x] = F[445,x]
F[450,x] = F[171,x]*F[451,x]
F[451,x] = F[452,x]+F[459,x]
F[452,x] = F[414,x]+F[453,x]
F[453,x] = 2*F[23,x]+F[454,x]+F[458,x]
F[454,x] = F[171,x]*F[455,x]
F[455,x] = F[456,x]+F[457,x]
F[456,x] = F[441,x]
F[457,x] = F[453,x]
F[458,x] = F[171,x]*F[452,x]
F[459,x] = F[445,x]
F[460,x] = -F[485,x]+F[461,x]
F[461,x] = -F[484,x]+F[462,x]
F[462,x] = 1/F[171,x]*F[463,x]
F[463,x] = F[464,x]
F[464,x] = -F[465,x]+F[5,x]
F[465,x] = F[466,x]
F[466,x] = F[171,x]*F[467,x]
F[467,x] = F[348,x]+F[468,x]
F[468,x] = F[465,x]+F[469,x]
F[469,x] = F[23,x]+F[470,x]+F[474,x]
F[470,x] = F[171,x]*F[471,x]
F[471,x] = F[472,x]+F[473,x]
F[472,x] = F[349,x]
F[473,x] = F[469,x]
F[474,x] = F[171,x]*F[475,x]
F[475,x] = F[476,x]+F[483,x]
F[476,x] = F[465,x]+F[477,x]
F[477,x] = F[23,x]+F[478,x]+F[482,x]
F[478,x] = F[171,x]*F[479,x]
F[479,x] = F[480,x]+F[481,x]
F[480,x] = F[327,x]
F[481,x] = F[477,x]
F[482,x] = F[171,x]*F[476,x]
F[483,x] = F[469,x]
F[484,x] = F[155,x,1]
F[485,x] = F[2,x]+F[464,x]
F[486,x] = F[487,x]
F[487,x] = F[171,x]*F[326,x]*F[488,x]
F[488,x] = F[391,x,1]
F[489,x,k[0]] = F[490,x,k[0]]
F[490,x,k[0]] = F[14,x,k[0]]*F[228,x,k[0]]*F[491,x,k[0]]
F[491,x,k[0]] = F[492,x,k[0]]+F[55,x,k[0]]
F[492,x,k[0]] = F[1,x]+F[51,x,k[0]]
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_{171}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{171}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{24}\! \left(x , y\right)+F_{28}\! \left(x , y\right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{34}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{38}\! \left(x , y\right)+F_{39}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = 0
F_{39}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{39}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)+F_{58}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{55}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{59}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{58}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{63}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{55}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{73}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{79}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{87}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{14}\! \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) = F_{83}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{86}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{23}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{83}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{104}\! \left(x , y\right)+F_{107}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right) F_{14}\! \left(x , y\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_{103}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{114}\! \left(x , y\right)+F_{133}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{113}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{86}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{120}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{118}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{84}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{107}\! \left(x , y\right)+F_{119}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{119}\! \left(x , y\right) = 0
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{123}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{114}\! \left(x , y\right)+F_{122}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{125}\! \left(x , y\right)+F_{126}\! \left(x , y\right)+F_{132}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{124}\! \left(x , y\right) = 0
F_{125}\! \left(x , y\right) = 0
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)+F_{130}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{122}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = 3 F_{23}\! \left(x \right)+F_{126}\! \left(x , y\right)+F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{136}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{131}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{489}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{142}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{146}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{396}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = -\frac{-F_{149}\! \left(x , y\right) y +F_{149}\! \left(x , 1\right)}{-1+y}
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{152}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{139}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{154}\! \left(x , y\right) = -\frac{y \left(F_{155}\! \left(x , 1\right)-F_{155}\! \left(x , y\right)\right)}{-1+y}
F_{155}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{159}\! \left(x , y\right) = F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{16}\! \left(x , y\right) F_{161}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{161}\! \left(x \right) = F_{162}\! \left(x , 1\right)
F_{163}\! \left(x , y\right) = F_{162}\! \left(x , y\right) F_{327}\! \left(x \right) F_{329}\! \left(x \right)
F_{164}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{392}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{164}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{330}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x \right)+F_{181}\! \left(x , y\right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right) F_{172}\! \left(x \right)
F_{171}\! \left(x \right) = x
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{1}\! \left(x \right)+F_{171}\! \left(x \right)
F_{174}\! \left(x \right) = F_{169}\! \left(x \right)+F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{180}\! \left(x \right)+F_{23}\! \left(x \right)
F_{176}\! \left(x \right) = F_{171}\! \left(x \right) F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{171}\! \left(x \right)
F_{179}\! \left(x \right) = F_{175}\! \left(x \right)
F_{180}\! \left(x \right) = F_{169}\! \left(x \right) F_{171}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{212}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{182}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{183}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{184}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{171}\! \left(x \right)+F_{185}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)+F_{190}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{189}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{189}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{171}\! \left(x \right)
F_{190}\! \left(x , y\right) = F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{192}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{193}\! \left(x , y\right)+F_{202}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{193}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{195}\! \left(x , y\right)+F_{198}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = y F_{188}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{192}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{203}\! \left(x , y\right)
F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)+F_{205}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{199}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{192}\! \left(x , y\right)+F_{206}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{201}\! \left(x , y\right)+F_{207}\! \left(x , y\right)+F_{208}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{207}\! \left(x , y\right) = 0
F_{208}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{209}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{210}\! \left(x , y\right)+F_{211}\! \left(x , y\right)
F_{210}\! \left(x , y\right) = F_{199}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{206}\! \left(x , y\right)
F_{212}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{213}\! \left(x , y\right)
F_{213}\! \left(x , y\right) = F_{214}\! \left(x , y\right)+F_{215}\! \left(x , y\right)
F_{214}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{188}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{181}\! \left(x , y\right)+F_{216}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right)+F_{218}\! \left(x , y\right)+F_{222}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{217}\! \left(x , y\right) = 0
F_{218}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{219}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)+F_{221}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{216}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{181}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{225}\! \left(x , y\right) F_{326}\! \left(x \right) F_{329}\! \left(x \right)
F_{226}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{16}\! \left(x , y\right) F_{225}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{227}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{227}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{229}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{230}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{230}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)
F_{232}\! \left(x , y\right) = F_{233}\! \left(x , y\right)+F_{237}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right)+F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{171}\! \left(x \right) F_{7}\! \left(x \right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{239}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{145}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{242}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{244}\! \left(x , y\right)+F_{277}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{245}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)+F_{260}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{247}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{249}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{250}\! \left(x , y\right)+F_{253}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{251}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{254}\! \left(x , y\right)
F_{254}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{255}\! \left(x , y\right)+F_{259}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{14}\! \left(x , y\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_{257}\! \left(x , y\right) = F_{251}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{254}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{247}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{261}\! \left(x , y\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{263}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = F_{264}\! \left(x , y\right)+F_{270}\! \left(x , y\right)
F_{264}\! \left(x , y\right) = F_{265}\! \left(x , y\right)+F_{268}\! \left(x , y\right)
F_{265}\! \left(x , y\right) = F_{266}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{267}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{265}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{268}\! \left(x , y\right) = F_{269}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{265}\! \left(x , y\right)
F_{270}\! \left(x , y\right) = F_{261}\! \left(x , y\right)+F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = 3 F_{23}\! \left(x \right)+F_{272}\! \left(x , y\right)+F_{276}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{273}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)+F_{275}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{268}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{276}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{261}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{279}\! \left(x , y\right)+F_{298}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{280}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{281}\! \left(x , y\right)+F_{285}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{282}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{283}\! \left(x , y\right)+F_{284}\! \left(x , y\right)
F_{283}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{251}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{251}\! \left(x , y\right)+F_{268}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{286}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = F_{287}\! \left(x , y\right)+F_{290}\! \left(x , y\right)
F_{287}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{288}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{281}\! \left(x , y\right)+F_{289}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{280}\! \left(x , y\right)+F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{292}\! \left(x , y\right)+F_{293}\! \left(x , y\right)+F_{297}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = 0
F_{293}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{294}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{295}\! \left(x , y\right)+F_{296}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{288}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{291}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{280}\! \left(x , y\right)
F_{298}\! \left(x , y\right) = F_{243}\! \left(x , y\right)+F_{299}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{300}\! \left(x , y\right)+F_{306}\! \left(x , y\right)+F_{315}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{301}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{302}\! \left(x , y\right)+F_{304}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{196}\! \left(x , y\right)+F_{303}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{259}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{303}\! \left(x , y\right)+F_{305}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{276}\! \left(x , y\right)
F_{306}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{307}\! \left(x , y\right)
F_{307}\! \left(x , y\right) = F_{308}\! \left(x , y\right)+F_{310}\! \left(x , y\right)
F_{308}\! \left(x , y\right) = F_{288}\! \left(x , y\right)+F_{309}\! \left(x , y\right)
F_{309}\! \left(x , y\right) = F_{297}\! \left(x , y\right)
F_{310}\! \left(x , y\right) = F_{311}\! \left(x , y\right)+F_{313}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{300}\! \left(x , y\right)+F_{306}\! \left(x , y\right)+F_{312}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{243}\! \left(x , y\right)
F_{313}\! \left(x , y\right) = F_{314}\! \left(x , y\right)
F_{314}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{299}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{316}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{317}\! \left(x , y\right)+F_{318}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{243}\! \left(x , y\right)+F_{311}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{299}\! \left(x , y\right)+F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{314}\! \left(x , y\right)+F_{320}\! \left(x , y\right)+F_{321}\! \left(x , y\right)+F_{322}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = 0
F_{321}\! \left(x , y\right) = 0
F_{322}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{323}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{324}\! \left(x , y\right)+F_{325}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{311}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{326}\! \left(x \right) = F_{1}\! \left(x \right)+F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = F_{171}\! \left(x \right) F_{326}\! \left(x \right)
F_{329}\! \left(x \right) = F_{1}\! \left(x \right)+F_{169}\! \left(x \right)
F_{330}\! \left(x , y\right) = F_{331}\! \left(x , y\right)
F_{331}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{332}\! \left(x , y\right)
F_{332}\! \left(x , y\right) = -\frac{-F_{333}\! \left(x , y\right) y +F_{333}\! \left(x , 1\right)}{-1+y}
F_{333}\! \left(x , y\right) = F_{334}\! \left(x , y\right)
F_{334}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{335}\! \left(x , y\right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)+F_{340}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{387}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{337}\! \left(x , y\right)+F_{340}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{338}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right)
F_{342}\! \left(x , y\right) = F_{341}\! \left(x , y\right)+F_{364}\! \left(x , y\right)
F_{343}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{374}\! \left(x , y\right)
F_{343}\! \left(x , y\right) = F_{344}\! \left(x , y\right)+F_{356}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{345}\! \left(x , y\right)+F_{353}\! \left(x , y\right)
F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right) F_{348}\! \left(x \right)
F_{346}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{347}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{151}\! \left(x , y\right)
F_{348}\! \left(x \right) = F_{1}\! \left(x \right)+F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = F_{171}\! \left(x \right) F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = F_{326}\! \left(x \right)+F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{349}\! \left(x \right)
F_{353}\! \left(x , y\right) = F_{354}\! \left(x , y\right)
F_{354}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{355}\! \left(x , y\right)
F_{355}\! \left(x , y\right) = -\frac{-F_{343}\! \left(x , y\right) y +F_{343}\! \left(x , 1\right)}{-1+y}
F_{356}\! \left(x , y\right) = F_{357}\! \left(x , y\right)
F_{357}\! \left(x , y\right) = F_{326}\! \left(x \right) F_{358}\! \left(x , y\right)
F_{358}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{326}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = F_{171}\! \left(x \right) F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x , 1\right)
F_{365}\! \left(x , y\right) = F_{333}\! \left(x , y\right)+F_{364}\! \left(x , y\right)
F_{365}\! \left(x , y\right) = F_{366}\! \left(x , y\right)+F_{370}\! \left(x , y\right)
F_{366}\! \left(x , y\right) = F_{346}\! \left(x , y\right)+F_{367}\! \left(x , y\right)
F_{367}\! \left(x , y\right) = F_{368}\! \left(x , y\right)
F_{368}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{369}\! \left(x , y\right)
F_{369}\! \left(x , y\right) = -\frac{-F_{365}\! \left(x , y\right) y +F_{365}\! \left(x , 1\right)}{-1+y}
F_{370}\! \left(x , y\right) = F_{371}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{358}\! \left(x , y\right)+F_{372}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{373}\! \left(x , y\right)
F_{333}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{373}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = F_{375}\! \left(x , y\right)+F_{385}\! \left(x , y\right)
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{378}\! \left(x , y\right)+F_{380}\! \left(x , y\right)
F_{378}\! \left(x , y\right) = F_{346}\! \left(x , y\right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{327}\! \left(x \right)+F_{348}\! \left(x \right)
F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)
F_{381}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = -\frac{-F_{383}\! \left(x , y\right) y +F_{383}\! \left(x , 1\right)}{-1+y}
F_{384}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{383}\! \left(x , y\right)
F_{384}\! \left(x , y\right) = F_{374}\! \left(x , y\right)
F_{385}\! \left(x , y\right) = F_{386}\! \left(x , y\right)
F_{386}\! \left(x , y\right) = F_{327}\! \left(x \right) F_{358}\! \left(x , y\right)
F_{387}\! \left(x , y\right) = F_{388}\! \left(x , y\right)
F_{388}\! \left(x , y\right) = F_{389}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{389}\! \left(x , y\right) = F_{390}\! \left(x , y\right)
F_{390}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{391}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{159}\! \left(x , y\right)+F_{161}\! \left(x \right)
F_{393}\! \left(x , y\right) = F_{392}\! \left(x , y\right)+F_{395}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{393}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{395}\! \left(x , y\right) = F_{341}\! \left(x , y\right)
F_{396}\! \left(x , y\right) = F_{397}\! \left(x , y\right)
F_{397}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{398}\! \left(x , y\right)
F_{398}\! \left(x , y\right) = F_{399}\! \left(x , y\right)+F_{486}\! \left(x \right)
F_{399}\! \left(x , y\right) = -\frac{-y F_{400}\! \left(x , y\right)+F_{400}\! \left(x , 1\right)}{-1+y}
F_{401}\! \left(x , y\right) = F_{400}\! \left(x , y\right)+F_{486}\! \left(x \right)
F_{402}\! \left(x , y\right) = F_{171}\! \left(x \right) F_{401}\! \left(x , y\right)
F_{402}\! \left(x , y\right) = F_{403}\! \left(x , y\right)
F_{403}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{404}\! \left(x \right)
F_{404}\! \left(x \right) = F_{405}\! \left(x \right)+F_{460}\! \left(x \right)
F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{414}\! \left(x \right)
F_{406}\! \left(x \right) = F_{407}\! \left(x \right)
F_{407}\! \left(x \right) = F_{171}\! \left(x \right) F_{408}\! \left(x \right)
F_{408}\! \left(x \right) = F_{173}\! \left(x \right)+F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{327}\! \left(x \right)+F_{410}\! \left(x \right)
F_{410}\! \left(x \right) = F_{23}\! \left(x \right)+F_{411}\! \left(x \right)+F_{413}\! \left(x \right)
F_{411}\! \left(x \right) = F_{171}\! \left(x \right) F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{171}\! \left(x \right)+F_{410}\! \left(x \right)
F_{413}\! \left(x \right) = F_{171}\! \left(x \right) F_{327}\! \left(x \right)
F_{414}\! \left(x \right) = F_{23}\! \left(x \right)+F_{415}\! \left(x \right)+F_{434}\! \left(x \right)
F_{415}\! \left(x \right) = F_{171}\! \left(x \right) F_{416}\! \left(x \right)
F_{416}\! \left(x \right) = F_{417}\! \left(x \right)+F_{422}\! \left(x \right)
F_{417}\! \left(x \right) = F_{327}\! \left(x \right)+F_{418}\! \left(x \right)
F_{418}\! \left(x \right) = F_{23}\! \left(x \right)+F_{419}\! \left(x \right)+F_{420}\! \left(x \right)
F_{419}\! \left(x \right) = F_{171}\! \left(x \right) F_{327}\! \left(x \right)
F_{420}\! \left(x \right) = F_{171}\! \left(x \right) F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{171}\! \left(x \right)+F_{418}\! \left(x \right)
F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{428}\! \left(x \right)
F_{423}\! \left(x \right) = F_{23}\! \left(x \right)+F_{424}\! \left(x \right)+F_{426}\! \left(x \right)
F_{424}\! \left(x \right) = F_{171}\! \left(x \right) F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{327}\! \left(x \right)+F_{423}\! \left(x \right)
F_{426}\! \left(x \right) = F_{171}\! \left(x \right) F_{427}\! \left(x \right)
F_{427}\! \left(x \right) = F_{327}\! \left(x \right)+F_{423}\! \left(x \right)
F_{428}\! \left(x \right) = F_{23}\! \left(x \right)+F_{429}\! \left(x \right)+F_{431}\! \left(x \right)+F_{432}\! \left(x \right)
F_{429}\! \left(x \right) = F_{171}\! \left(x \right) F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{418}\! \left(x \right)+F_{428}\! \left(x \right)
F_{431}\! \left(x \right) = F_{171}\! \left(x \right) F_{423}\! \left(x \right)
F_{432}\! \left(x \right) = F_{171}\! \left(x \right) F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{410}\! \left(x \right)+F_{428}\! \left(x \right)
F_{434}\! \left(x \right) = F_{171}\! \left(x \right) F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{436}\! \left(x \right)+F_{444}\! \left(x \right)
F_{436}\! \left(x \right) = F_{406}\! \left(x \right)+F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{171}\! \left(x \right) F_{439}\! \left(x \right)
F_{439}\! \left(x \right) = F_{440}\! \left(x \right)+F_{443}\! \left(x \right)
F_{440}\! \left(x \right) = F_{406}\! \left(x \right)+F_{441}\! \left(x \right)
F_{441}\! \left(x \right) = F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = F_{171}\! \left(x \right) F_{440}\! \left(x \right)
F_{443}\! \left(x \right) = F_{437}\! \left(x \right)
F_{444}\! \left(x \right) = F_{414}\! \left(x \right)+F_{445}\! \left(x \right)
F_{445}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{446}\! \left(x \right)+F_{450}\! \left(x \right)
F_{446}\! \left(x \right) = F_{171}\! \left(x \right) F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{448}\! \left(x \right)+F_{449}\! \left(x \right)
F_{448}\! \left(x \right) = F_{437}\! \left(x \right)
F_{449}\! \left(x \right) = F_{445}\! \left(x \right)
F_{450}\! \left(x \right) = F_{171}\! \left(x \right) F_{451}\! \left(x \right)
F_{451}\! \left(x \right) = F_{452}\! \left(x \right)+F_{459}\! \left(x \right)
F_{452}\! \left(x \right) = F_{414}\! \left(x \right)+F_{453}\! \left(x \right)
F_{453}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{454}\! \left(x \right)+F_{458}\! \left(x \right)
F_{454}\! \left(x \right) = F_{171}\! \left(x \right) F_{455}\! \left(x \right)
F_{455}\! \left(x \right) = F_{456}\! \left(x \right)+F_{457}\! \left(x \right)
F_{456}\! \left(x \right) = F_{441}\! \left(x \right)
F_{457}\! \left(x \right) = F_{453}\! \left(x \right)
F_{458}\! \left(x \right) = F_{171}\! \left(x \right) F_{452}\! \left(x \right)
F_{459}\! \left(x \right) = F_{445}\! \left(x \right)
F_{460}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{461}\! \left(x \right)
F_{461}\! \left(x \right) = -F_{484}\! \left(x \right)+F_{462}\! \left(x \right)
F_{462}\! \left(x \right) = \frac{F_{463}\! \left(x \right)}{F_{171}\! \left(x \right)}
F_{463}\! \left(x \right) = F_{464}\! \left(x \right)
F_{464}\! \left(x \right) = -F_{465}\! \left(x \right)+F_{5}\! \left(x \right)
F_{465}\! \left(x \right) = F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = F_{171}\! \left(x \right) F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = F_{348}\! \left(x \right)+F_{468}\! \left(x \right)
F_{468}\! \left(x \right) = F_{465}\! \left(x \right)+F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = F_{23}\! \left(x \right)+F_{470}\! \left(x \right)+F_{474}\! \left(x \right)
F_{470}\! \left(x \right) = F_{171}\! \left(x \right) F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{472}\! \left(x \right)+F_{473}\! \left(x \right)
F_{472}\! \left(x \right) = F_{349}\! \left(x \right)
F_{473}\! \left(x \right) = F_{469}\! \left(x \right)
F_{474}\! \left(x \right) = F_{171}\! \left(x \right) F_{475}\! \left(x \right)
F_{475}\! \left(x \right) = F_{476}\! \left(x \right)+F_{483}\! \left(x \right)
F_{476}\! \left(x \right) = F_{465}\! \left(x \right)+F_{477}\! \left(x \right)
F_{477}\! \left(x \right) = F_{23}\! \left(x \right)+F_{478}\! \left(x \right)+F_{482}\! \left(x \right)
F_{478}\! \left(x \right) = F_{171}\! \left(x \right) F_{479}\! \left(x \right)
F_{479}\! \left(x \right) = F_{480}\! \left(x \right)+F_{481}\! \left(x \right)
F_{480}\! \left(x \right) = F_{327}\! \left(x \right)
F_{481}\! \left(x \right) = F_{477}\! \left(x \right)
F_{482}\! \left(x \right) = F_{171}\! \left(x \right) F_{476}\! \left(x \right)
F_{483}\! \left(x \right) = F_{469}\! \left(x \right)
F_{484}\! \left(x \right) = F_{155}\! \left(x , 1\right)
F_{485}\! \left(x \right) = F_{2}\! \left(x \right)+F_{464}\! \left(x \right)
F_{486}\! \left(x \right) = F_{487}\! \left(x \right)
F_{487}\! \left(x \right) = F_{171}\! \left(x \right) F_{326}\! \left(x \right) F_{488}\! \left(x \right)
F_{488}\! \left(x \right) = F_{391}\! \left(x , 1\right)
F_{489}\! \left(x , y\right) = F_{490}\! \left(x , y\right)
F_{490}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{228}\! \left(x , y\right) F_{491}\! \left(x , y\right)
F_{491}\! \left(x , y\right) = F_{492}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{492}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{51}\! \left(x , y\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_171(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_171(x)*F_7(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_142(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_137(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_50(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_16(x, k_0) + F_29(x, k_0))
Eq(F_16(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_14(x, k_0)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_21(x, k_0))
Eq(F_20(x, k_0), F_1(x) + F_14(x, k_0))
Eq(F_21(x, k_0), F_17(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x) + F_24(x, k_0) + F_28(x, k_0))
Eq(F_23(x), 0)
Eq(F_24(x, k_0), F_14(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_27(x, k_0))
Eq(F_26(x, k_0), F_14(x, k_0))
Eq(F_27(x, k_0), F_22(x, k_0))
Eq(F_28(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_29(x, k_0), F_12(x, k_0) + F_30(x, k_0))
Eq(F_30(x, k_0), F_23(x) + F_31(x, k_0) + F_46(x, k_0))
Eq(F_31(x, k_0), F_14(x, k_0)*F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0) + F_34(x, k_0))
Eq(F_33(x, k_0), F_14(x, k_0) + F_22(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0) + F_37(x, k_0))
Eq(F_35(x, k_0), F_23(x) + F_31(x, k_0) + F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x, k_0)*F_14(x, k_0))
Eq(F_37(x, k_0), F_23(x) + F_38(x, k_0) + F_39(x, k_0) + F_45(x, k_0))
Eq(F_38(x, k_0), 0)
Eq(F_39(x, k_0), F_14(x, k_0)*F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_43(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_36(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), 2*F_23(x) + F_39(x, k_0) + F_45(x, k_0))
Eq(F_45(x, k_0), F_14(x, k_0)*F_30(x, k_0))
Eq(F_46(x, k_0), F_14(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0) + F_49(x, k_0))
Eq(F_48(x, k_0), F_12(x, k_0) + F_42(x, k_0))
Eq(F_49(x, k_0), F_30(x, k_0) + F_44(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0) + F_62(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), F_14(x, k_0)*F_53(x, k_0))
Eq(F_53(x, k_0), F_20(x, k_0) + F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, k_0) + F_58(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_14(x, k_0)*F_57(x, k_0))
Eq(F_57(x, k_0), F_1(x) + F_55(x, k_0))
Eq(F_58(x, k_0), F_23(x) + F_59(x, k_0) + F_61(x, k_0))
Eq(F_59(x, k_0), F_14(x, k_0)*F_60(x, k_0))
Eq(F_60(x, k_0), F_14(x, k_0) + F_58(x, k_0))
Eq(F_61(x, k_0), F_14(x, k_0)*F_55(x, k_0))
Eq(F_62(x, k_0), F_23(x) + F_63(x, k_0) + F_92(x, k_0))
Eq(F_63(x, k_0), F_14(x, k_0)*F_64(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0) + F_78(x, k_0))
Eq(F_65(x, k_0), F_17(x, k_0) + F_66(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0))
Eq(F_67(x, k_0), F_14(x, k_0)*F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0) + F_71(x, k_0))
Eq(F_69(x, k_0), F_55(x, k_0) + F_70(x, k_0))
Eq(F_70(x, k_0), F_61(x, k_0))
Eq(F_71(x, k_0), F_66(x, k_0) + F_72(x, k_0))
Eq(F_72(x, k_0), 2*F_23(x) + F_73(x, k_0) + F_77(x, k_0))
Eq(F_73(x, k_0), F_14(x, k_0)*F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0) + F_76(x, k_0))
Eq(F_75(x, k_0), F_70(x, k_0))
Eq(F_76(x, k_0), F_72(x, k_0))
Eq(F_77(x, k_0), F_14(x, k_0)*F_66(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_14(x, k_0)*F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0) + F_85(x, k_0))
Eq(F_82(x, k_0), F_51(x, k_0) + F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_14(x, k_0)*F_51(x, k_0))
Eq(F_85(x, k_0), F_79(x, k_0) + F_86(x, k_0))
Eq(F_86(x, k_0), 2*F_23(x) + F_87(x, k_0) + F_91(x, k_0))
Eq(F_87(x, k_0), F_14(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), F_83(x, k_0))
Eq(F_90(x, k_0), F_86(x, k_0))
Eq(F_91(x, k_0), F_14(x, k_0)*F_79(x, k_0))
Eq(F_92(x, k_0), F_14(x, k_0)*F_93(x, k_0))
Eq(F_93(x, k_0), F_108(x, k_0) + F_94(x, k_0))
Eq(F_94(x, k_0), F_51(x, k_0) + F_95(x, k_0))
Eq(F_95(x, k_0), F_100(x, k_0) + F_23(x) + F_96(x, k_0))
Eq(F_96(x, k_0), F_14(x, k_0)*F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0) + F_99(x, k_0))
Eq(F_98(x, k_0), F_14(x, k_0) + F_70(x, k_0))
Eq(F_99(x, k_0), F_83(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0)*F_14(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0) + F_82(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0) + F_95(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0) + F_107(x, k_0) + 2*F_23(x))
Eq(F_104(x, k_0), F_105(x, k_0)*F_14(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0) + F_89(x, k_0))
Eq(F_106(x, k_0), F_103(x, k_0))
Eq(F_107(x, k_0), F_14(x, k_0)*F_95(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0) + F_62(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0) + F_114(x, k_0) + F_133(x, k_0) + F_23(x))
Eq(F_110(x, k_0), F_111(x, k_0)*F_14(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_113(x, k_0))
Eq(F_112(x, k_0), F_22(x, k_0) + F_72(x, k_0))
Eq(F_113(x, k_0), F_86(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_14(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_120(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0) + F_118(x, k_0))
Eq(F_117(x, k_0), F_23(x) + F_84(x, k_0) + F_96(x, k_0))
Eq(F_118(x, k_0), F_104(x, k_0) + F_107(x, k_0) + F_119(x, k_0) + F_23(x))
Eq(F_119(x, k_0), 0)
Eq(F_120(x, k_0), F_121(x, k_0) + F_123(x, k_0))
Eq(F_121(x, k_0), F_110(x, k_0) + F_114(x, k_0) + F_122(x, k_0) + F_23(x))
Eq(F_122(x, k_0), F_14(x, k_0)*F_62(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0) + F_125(x, k_0) + F_126(x, k_0) + F_132(x, k_0) + F_23(x))
Eq(F_124(x, k_0), 0)
Eq(F_125(x, k_0), 0)
Eq(F_126(x, k_0), F_127(x, k_0)*F_14(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0) + F_130(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_122(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_131(x, k_0), F_126(x, k_0) + F_132(x, k_0) + 3*F_23(x))
Eq(F_132(x, k_0), F_109(x, k_0)*F_14(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0)*F_14(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0) + F_136(x, k_0))
Eq(F_135(x, k_0), F_129(x, k_0) + F_62(x, k_0))
Eq(F_136(x, k_0), F_109(x, k_0) + F_131(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0) + F_489(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0) + F_2(x))
Eq(F_139(x, k_0), F_140(x, k_0))
Eq(F_140(x, k_0), F_14(x, k_0)*F_141(x, k_0))
Eq(F_141(x, k_0), F_137(x, k_0) + F_142(x, k_0))
Eq(F_142(x, k_0), F_143(x, k_0))
Eq(F_143(x, k_0), F_144(x, k_0)*F_171(x))
Eq(F_144(x, k_0), F_145(x, k_0) + F_146(x, k_0))
Eq(F_145(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_146(x, k_0), F_147(x, k_0)*F_51(x, k_0))
Eq(F_147(x, k_0), F_148(x, k_0) + F_396(x, k_0))
Eq(F_148(x, k_0), (k_0*F_149(x, k_0) - F_149(x, 1))/(k_0 - 1))
Eq(F_149(x, k_0), F_150(x, k_0) + F_4(x))
Eq(F_150(x, k_0), F_151(x, k_0) + F_152(x, k_0))
Eq(F_151(x, k_0), F_12(x, k_0) + F_139(x, k_0))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_153(x, k_0), F_154(x, k_0)*F_171(x))
Eq(F_154(x, k_0), -F_155(x, 1) + (k_0*F_155(x, k_0) - F_155(x, 1))/(k_0 - 1))
Eq(F_155(x, k_0), F_150(x, k_0) + F_156(x, k_0))
Eq(F_156(x, k_0), F_157(x, k_0))
Eq(F_157(x, k_0), F_158(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0)*F_171(x))
Eq(F_159(x, k_0), F_160(x, k_0))
Eq(F_160(x, k_0), F_14(x, k_0)*F_16(x, k_0)*F_161(x)*F_57(x, k_0))
Eq(F_161(x), F_162(x, 1))
Eq(F_163(x, k_0), F_162(x, k_0)*F_327(x)*F_329(x))
Eq(F_164(x, k_0), F_163(x, k_0) + F_392(x, k_0))
Eq(F_165(x, k_0), F_164(x, k_0)*F_171(x))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0) + F_330(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0) + F_223(x, k_0))
Eq(F_168(x, k_0), F_169(x) + F_181(x, k_0))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x)*F_172(x))
Eq(F_171(x), x)
Eq(F_172(x), F_173(x) + F_174(x))
Eq(F_173(x), F_1(x) + F_171(x))
Eq(F_174(x), F_169(x) + F_175(x))
Eq(F_175(x), F_176(x) + F_180(x) + F_23(x))
Eq(F_176(x), F_171(x)*F_177(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_171(x))
Eq(F_179(x), F_175(x))
Eq(F_180(x), F_169(x)*F_171(x))
Eq(F_181(x, k_0), F_182(x, k_0) + F_212(x, k_0) + F_23(x))
Eq(F_182(x, k_0), F_14(x, k_0)*F_183(x, k_0))
Eq(F_183(x, k_0), F_184(x, k_0) + F_187(x, k_0))
Eq(F_184(x, k_0), F_171(x) + F_185(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0))
Eq(F_186(x, k_0), F_17(x, k_0)*F_171(x))
Eq(F_187(x, k_0), F_188(x, k_0) + F_190(x, k_0))
Eq(F_188(x, k_0), F_182(x, k_0) + F_189(x, k_0) + F_23(x))
Eq(F_189(x, k_0), F_12(x, k_0)*F_171(x))
Eq(F_190(x, k_0), F_191(x, k_0))
Eq(F_191(x, k_0), F_171(x)*F_192(x, k_0))
Eq(F_192(x, k_0), F_193(x, k_0) + F_202(x, k_0) + F_23(x))
Eq(F_193(x, k_0), F_14(x, k_0)*F_194(x, k_0))
Eq(F_194(x, k_0), F_195(x, k_0) + F_198(x, k_0))
Eq(F_195(x, k_0), F_14(x, k_0) + F_196(x, k_0))
Eq(F_196(x, k_0), F_197(x, k_0))
Eq(F_197(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0) + F_200(x, k_0))
Eq(F_199(x, k_0), k_0*F_188(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), F_14(x, k_0)*F_192(x, k_0))
Eq(F_202(x, k_0), F_14(x, k_0)*F_203(x, k_0))
Eq(F_203(x, k_0), F_204(x, k_0) + F_205(x, k_0))
Eq(F_204(x, k_0), F_12(x, k_0) + F_199(x, k_0))
Eq(F_205(x, k_0), F_192(x, k_0) + F_206(x, k_0))
Eq(F_206(x, k_0), F_201(x, k_0) + F_207(x, k_0) + F_208(x, k_0) + F_23(x))
Eq(F_207(x, k_0), 0)
Eq(F_208(x, k_0), F_14(x, k_0)*F_209(x, k_0))
Eq(F_209(x, k_0), F_210(x, k_0) + F_211(x, k_0))
Eq(F_210(x, k_0), F_199(x, k_0))
Eq(F_211(x, k_0), F_206(x, k_0))
Eq(F_212(x, k_0), F_171(x)*F_213(x, k_0))
Eq(F_213(x, k_0), F_214(x, k_0) + F_215(x, k_0))
Eq(F_214(x, k_0), F_12(x, k_0) + F_188(x, k_0))
Eq(F_215(x, k_0), F_181(x, k_0) + F_216(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0) + F_218(x, k_0) + F_222(x, k_0) + F_23(x))
Eq(F_217(x, k_0), 0)
Eq(F_218(x, k_0), F_171(x)*F_219(x, k_0))
Eq(F_219(x, k_0), F_220(x, k_0) + F_221(x, k_0))
Eq(F_220(x, k_0), F_188(x, k_0))
Eq(F_221(x, k_0), F_216(x, k_0))
Eq(F_222(x, k_0), F_171(x)*F_181(x, k_0))
Eq(F_223(x, k_0), F_224(x, k_0))
Eq(F_224(x, k_0), F_171(x)*F_225(x, k_0)*F_326(x)*F_329(x))
Eq(F_226(x, k_0), F_14(x, k_0)*F_16(x, k_0)*F_225(x, k_0)*F_57(x, k_0))
Eq(F_226(x, k_0), F_227(x, k_0))
Eq(F_228(x, k_0), F_138(x, k_0) + F_227(x, k_0))
Eq(F_228(x, k_0), F_229(x, k_0))
Eq(F_229(x, k_0), F_171(x)*F_230(x, k_0))
Eq(F_231(x, k_0), F_14(x, k_0)*F_230(x, k_0))
Eq(F_231(x, k_0), F_232(x, k_0))
Eq(F_232(x, k_0), F_233(x, k_0) + F_237(x, k_0))
Eq(F_233(x, k_0), F_12(x, k_0)*F_234(x))
Eq(F_234(x), F_0(x) + F_235(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_171(x)*F_7(x))
Eq(F_237(x, k_0), F_238(x, k_0))
Eq(F_238(x, k_0), F_14(x, k_0)*F_239(x, k_0))
Eq(F_239(x, k_0), F_240(x, k_0) + F_241(x, k_0))
Eq(F_240(x, k_0), F_12(x, k_0)*F_145(x, k_0))
Eq(F_241(x, k_0), F_147(x, k_0)*F_242(x, k_0))
Eq(F_242(x, k_0), F_243(x, k_0) + F_51(x, k_0))
Eq(F_243(x, k_0), F_23(x) + F_244(x, k_0) + F_277(x, k_0))
Eq(F_244(x, k_0), F_14(x, k_0)*F_245(x, k_0))
Eq(F_245(x, k_0), F_246(x, k_0) + F_260(x, k_0))
Eq(F_246(x, k_0), F_17(x, k_0) + F_247(x, k_0))
Eq(F_247(x, k_0), F_248(x, k_0))
Eq(F_248(x, k_0), F_14(x, k_0)*F_249(x, k_0))
Eq(F_249(x, k_0), F_250(x, k_0) + F_253(x, k_0))
Eq(F_250(x, k_0), F_251(x, k_0) + F_55(x, k_0))
Eq(F_251(x, k_0), F_252(x, k_0))
Eq(F_252(x, k_0), F_14(x, k_0)*F_55(x, k_0))
Eq(F_253(x, k_0), F_247(x, k_0) + F_254(x, k_0))
Eq(F_254(x, k_0), 2*F_23(x) + F_255(x, k_0) + F_259(x, k_0))
Eq(F_255(x, k_0), F_14(x, k_0)*F_256(x, k_0))
Eq(F_256(x, k_0), F_257(x, k_0) + F_258(x, k_0))
Eq(F_257(x, k_0), F_251(x, k_0))
Eq(F_258(x, k_0), F_254(x, k_0))
Eq(F_259(x, k_0), F_14(x, k_0)*F_247(x, k_0))
Eq(F_260(x, k_0), F_247(x, k_0) + F_261(x, k_0))
Eq(F_261(x, k_0), F_262(x, k_0))
Eq(F_262(x, k_0), F_14(x, k_0)*F_263(x, k_0))
Eq(F_263(x, k_0), F_264(x, k_0) + F_270(x, k_0))
Eq(F_264(x, k_0), F_265(x, k_0) + F_268(x, k_0))
Eq(F_265(x, k_0), F_266(x, k_0))
Eq(F_266(x, k_0), F_14(x, k_0)*F_267(x, k_0))
Eq(F_267(x, k_0), F_265(x, k_0) + F_55(x, k_0))
Eq(F_268(x, k_0), F_269(x, k_0))
Eq(F_269(x, k_0), F_14(x, k_0)*F_265(x, k_0))
Eq(F_270(x, k_0), F_261(x, k_0) + F_271(x, k_0))
Eq(F_271(x, k_0), 3*F_23(x) + F_272(x, k_0) + F_276(x, k_0))
Eq(F_272(x, k_0), F_14(x, k_0)*F_273(x, k_0))
Eq(F_273(x, k_0), F_274(x, k_0) + F_275(x, k_0))
Eq(F_274(x, k_0), F_268(x, k_0))
Eq(F_275(x, k_0), F_271(x, k_0))
Eq(F_276(x, k_0), F_14(x, k_0)*F_261(x, k_0))
Eq(F_277(x, k_0), F_14(x, k_0)*F_278(x, k_0))
Eq(F_278(x, k_0), F_279(x, k_0) + F_298(x, k_0))
Eq(F_279(x, k_0), F_280(x, k_0) + F_51(x, k_0))
Eq(F_280(x, k_0), F_23(x) + F_281(x, k_0) + F_285(x, k_0))
Eq(F_281(x, k_0), F_14(x, k_0)*F_282(x, k_0))
Eq(F_282(x, k_0), F_283(x, k_0) + F_284(x, k_0))
Eq(F_283(x, k_0), F_14(x, k_0) + F_251(x, k_0))
Eq(F_284(x, k_0), F_251(x, k_0) + F_268(x, k_0))
Eq(F_285(x, k_0), F_14(x, k_0)*F_286(x, k_0))
Eq(F_286(x, k_0), F_287(x, k_0) + F_290(x, k_0))
Eq(F_287(x, k_0), F_288(x, k_0) + F_51(x, k_0))
Eq(F_288(x, k_0), F_23(x) + F_281(x, k_0) + F_289(x, k_0))
Eq(F_289(x, k_0), F_14(x, k_0)*F_51(x, k_0))
Eq(F_290(x, k_0), F_280(x, k_0) + F_291(x, k_0))
Eq(F_291(x, k_0), F_23(x) + F_292(x, k_0) + F_293(x, k_0) + F_297(x, k_0))
Eq(F_292(x, k_0), 0)
Eq(F_293(x, k_0), F_14(x, k_0)*F_294(x, k_0))
Eq(F_294(x, k_0), F_295(x, k_0) + F_296(x, k_0))
Eq(F_295(x, k_0), F_288(x, k_0))
Eq(F_296(x, k_0), F_291(x, k_0))
Eq(F_297(x, k_0), F_14(x, k_0)*F_280(x, k_0))
Eq(F_298(x, k_0), F_243(x, k_0) + F_299(x, k_0))
Eq(F_299(x, k_0), F_23(x) + F_300(x, k_0) + F_306(x, k_0) + F_315(x, k_0))
Eq(F_300(x, k_0), F_14(x, k_0)*F_301(x, k_0))
Eq(F_301(x, k_0), F_302(x, k_0) + F_304(x, k_0))
Eq(F_302(x, k_0), F_196(x, k_0) + F_303(x, k_0))
Eq(F_303(x, k_0), F_259(x, k_0))
Eq(F_304(x, k_0), F_303(x, k_0) + F_305(x, k_0))
Eq(F_305(x, k_0), F_276(x, k_0))
Eq(F_306(x, k_0), F_14(x, k_0)*F_307(x, k_0))
Eq(F_307(x, k_0), F_308(x, k_0) + F_310(x, k_0))
Eq(F_308(x, k_0), F_288(x, k_0) + F_309(x, k_0))
Eq(F_309(x, k_0), F_297(x, k_0))
Eq(F_310(x, k_0), F_311(x, k_0) + F_313(x, k_0))
Eq(F_311(x, k_0), F_23(x) + F_300(x, k_0) + F_306(x, k_0) + F_312(x, k_0))
Eq(F_312(x, k_0), F_14(x, k_0)*F_243(x, k_0))
Eq(F_313(x, k_0), F_314(x, k_0))
Eq(F_314(x, k_0), F_14(x, k_0)*F_299(x, k_0))
Eq(F_315(x, k_0), F_14(x, k_0)*F_316(x, k_0))
Eq(F_316(x, k_0), F_317(x, k_0) + F_318(x, k_0))
Eq(F_317(x, k_0), F_243(x, k_0) + F_311(x, k_0))
Eq(F_318(x, k_0), F_299(x, k_0) + F_319(x, k_0))
Eq(F_319(x, k_0), F_23(x) + F_314(x, k_0) + F_320(x, k_0) + F_321(x, k_0) + F_322(x, k_0))
Eq(F_320(x, k_0), 0)
Eq(F_321(x, k_0), 0)
Eq(F_322(x, k_0), F_14(x, k_0)*F_323(x, k_0))
Eq(F_323(x, k_0), F_324(x, k_0) + F_325(x, k_0))
Eq(F_324(x, k_0), F_311(x, k_0))
Eq(F_325(x, k_0), F_319(x, k_0))
Eq(F_326(x), F_1(x) + F_327(x))
Eq(F_327(x), F_328(x))
Eq(F_328(x), F_171(x)*F_326(x))
Eq(F_329(x), F_1(x) + F_169(x))
Eq(F_330(x, k_0), F_331(x, k_0))
Eq(F_331(x, k_0), F_171(x)*F_332(x, k_0))
Eq(F_332(x, k_0), (k_0*F_333(x, k_0) - F_333(x, 1))/(k_0 - 1))
Eq(F_333(x, k_0), F_334(x, k_0))
Eq(F_334(x, k_0), F_171(x)*F_335(x, k_0))
Eq(F_335(x, k_0), F_336(x, k_0) + F_340(x, k_0))
Eq(F_336(x, k_0), F_337(x, k_0) + F_387(x, k_0))
Eq(F_338(x, k_0), F_337(x, k_0) + F_340(x, k_0))
Eq(F_339(x, k_0), F_171(x)*F_338(x, k_0))
Eq(F_339(x, k_0), F_166(x, k_0))
Eq(F_340(x, k_0), F_341(x, k_0))
Eq(F_342(x, k_0), F_341(x, k_0) + F_364(x, k_0))
Eq(F_343(x, k_0), F_342(x, k_0) + F_374(x, k_0))
Eq(F_343(x, k_0), F_344(x, k_0) + F_356(x, k_0))
Eq(F_344(x, k_0), F_345(x, k_0) + F_353(x, k_0))
Eq(F_345(x, k_0), F_346(x, k_0)*F_348(x))
Eq(F_346(x, k_0), F_167(x, k_0) + F_347(x, k_0))
Eq(F_347(x, k_0), F_0(x) + F_151(x, k_0))
Eq(F_348(x), F_1(x) + F_349(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_171(x)*F_351(x))
Eq(F_351(x), F_326(x) + F_352(x))
Eq(F_352(x), F_349(x))
Eq(F_353(x, k_0), F_354(x, k_0))
Eq(F_354(x, k_0), F_171(x)*F_355(x, k_0))
Eq(F_355(x, k_0), (k_0*F_343(x, k_0) - F_343(x, 1))/(k_0 - 1))
Eq(F_356(x, k_0), F_357(x, k_0))
Eq(F_357(x, k_0), F_326(x)*F_358(x, k_0))
Eq(F_358(x, k_0), F_157(x, k_0) + F_359(x))
Eq(F_359(x), -F_0(x) + F_360(x))
Eq(F_360(x), F_326(x) + F_361(x))
Eq(F_361(x), F_362(x))
Eq(F_362(x), F_171(x)*F_363(x))
Eq(F_363(x), F_364(x, 1))
Eq(F_365(x, k_0), F_333(x, k_0) + F_364(x, k_0))
Eq(F_365(x, k_0), F_366(x, k_0) + F_370(x, k_0))
Eq(F_366(x, k_0), F_346(x, k_0) + F_367(x, k_0))
Eq(F_367(x, k_0), F_368(x, k_0))
Eq(F_368(x, k_0), F_171(x)*F_369(x, k_0))
Eq(F_369(x, k_0), (k_0*F_365(x, k_0) - F_365(x, 1))/(k_0 - 1))
Eq(F_370(x, k_0), F_371(x, k_0))
Eq(F_371(x, k_0), F_358(x, k_0) + F_372(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0))
Eq(F_333(x, k_0), F_166(x, k_0) + F_373(x, k_0))
Eq(F_374(x, k_0), F_375(x, k_0) + F_385(x, k_0))
Eq(F_375(x, k_0), F_376(x, k_0))
Eq(F_376(x, k_0), F_171(x)*F_377(x, k_0))
Eq(F_377(x, k_0), F_378(x, k_0) + F_380(x, k_0))
Eq(F_378(x, k_0), F_346(x, k_0)*F_379(x))
Eq(F_379(x), F_327(x) + F_348(x))
Eq(F_380(x, k_0), F_381(x, k_0))
Eq(F_381(x, k_0), F_171(x)*F_382(x, k_0))
Eq(F_382(x, k_0), (k_0*F_383(x, k_0) - F_383(x, 1))/(k_0 - 1))
Eq(F_384(x, k_0), F_171(x)*F_383(x, k_0))
Eq(F_384(x, k_0), F_374(x, k_0))
Eq(F_385(x, k_0), F_386(x, k_0))
Eq(F_386(x, k_0), F_327(x)*F_358(x, k_0))
Eq(F_387(x, k_0), F_388(x, k_0))
Eq(F_388(x, k_0), F_389(x, k_0)*F_57(x, k_0))
Eq(F_389(x, k_0), F_390(x, k_0))
Eq(F_390(x, k_0), F_171(x)*F_391(x, k_0))
Eq(F_391(x, k_0), F_159(x, k_0) + F_161(x))
Eq(F_393(x, k_0), F_392(x, k_0) + F_395(x, k_0))
Eq(F_394(x, k_0), F_171(x)*F_393(x, k_0))
Eq(F_394(x, k_0), F_166(x, k_0))
Eq(F_395(x, k_0), F_341(x, k_0))
Eq(F_396(x, k_0), F_397(x, k_0))
Eq(F_397(x, k_0), F_171(x)*F_398(x, k_0))
Eq(F_398(x, k_0), F_399(x, k_0) + F_486(x))
Eq(F_399(x, k_0), (k_0*F_400(x, k_0) - F_400(x, 1))/(k_0 - 1))
Eq(F_401(x, k_0), F_400(x, k_0) + F_486(x))
Eq(F_402(x, k_0), F_171(x)*F_401(x, k_0))
Eq(F_402(x, k_0), F_403(x, k_0))
Eq(F_403(x, k_0), F_156(x, k_0) + F_404(x))
Eq(F_404(x), F_405(x) + F_460(x))
Eq(F_405(x), F_406(x) + F_414(x))
Eq(F_406(x), F_407(x))
Eq(F_407(x), F_171(x)*F_408(x))
Eq(F_408(x), F_173(x) + F_409(x))
Eq(F_409(x), F_327(x) + F_410(x))
Eq(F_410(x), F_23(x) + F_411(x) + F_413(x))
Eq(F_411(x), F_171(x)*F_412(x))
Eq(F_412(x), F_171(x) + F_410(x))
Eq(F_413(x), F_171(x)*F_327(x))
Eq(F_414(x), F_23(x) + F_415(x) + F_434(x))
Eq(F_415(x), F_171(x)*F_416(x))
Eq(F_416(x), F_417(x) + F_422(x))
Eq(F_417(x), F_327(x) + F_418(x))
Eq(F_418(x), F_23(x) + F_419(x) + F_420(x))
Eq(F_419(x), F_171(x)*F_327(x))
Eq(F_420(x), F_171(x)*F_421(x))
Eq(F_421(x), F_171(x) + F_418(x))
Eq(F_422(x), F_423(x) + F_428(x))
Eq(F_423(x), F_23(x) + F_424(x) + F_426(x))
Eq(F_424(x), F_171(x)*F_425(x))
Eq(F_425(x), F_327(x) + F_423(x))
Eq(F_426(x), F_171(x)*F_427(x))
Eq(F_427(x), F_327(x) + F_423(x))
Eq(F_428(x), F_23(x) + F_429(x) + F_431(x) + F_432(x))
Eq(F_429(x), F_171(x)*F_430(x))
Eq(F_430(x), F_418(x) + F_428(x))
Eq(F_431(x), F_171(x)*F_423(x))
Eq(F_432(x), F_171(x)*F_433(x))
Eq(F_433(x), F_410(x) + F_428(x))
Eq(F_434(x), F_171(x)*F_435(x))
Eq(F_435(x), F_436(x) + F_444(x))
Eq(F_436(x), F_406(x) + F_437(x))
Eq(F_437(x), F_438(x))
Eq(F_438(x), F_171(x)*F_439(x))
Eq(F_439(x), F_440(x) + F_443(x))
Eq(F_440(x), F_406(x) + F_441(x))
Eq(F_441(x), F_442(x))
Eq(F_442(x), F_171(x)*F_440(x))
Eq(F_443(x), F_437(x))
Eq(F_444(x), F_414(x) + F_445(x))
Eq(F_445(x), 2*F_23(x) + F_446(x) + F_450(x))
Eq(F_446(x), F_171(x)*F_447(x))
Eq(F_447(x), F_448(x) + F_449(x))
Eq(F_448(x), F_437(x))
Eq(F_449(x), F_445(x))
Eq(F_450(x), F_171(x)*F_451(x))
Eq(F_451(x), F_452(x) + F_459(x))
Eq(F_452(x), F_414(x) + F_453(x))
Eq(F_453(x), 2*F_23(x) + F_454(x) + F_458(x))
Eq(F_454(x), F_171(x)*F_455(x))
Eq(F_455(x), F_456(x) + F_457(x))
Eq(F_456(x), F_441(x))
Eq(F_457(x), F_453(x))
Eq(F_458(x), F_171(x)*F_452(x))
Eq(F_459(x), F_445(x))
Eq(F_460(x), F_461(x) - F_485(x))
Eq(F_461(x), F_462(x) - F_484(x))
Eq(F_462(x), F_463(x)/F_171(x))
Eq(F_463(x), F_464(x))
Eq(F_464(x), -F_465(x) + F_5(x))
Eq(F_465(x), F_466(x))
Eq(F_466(x), F_171(x)*F_467(x))
Eq(F_467(x), F_348(x) + F_468(x))
Eq(F_468(x), F_465(x) + F_469(x))
Eq(F_469(x), F_23(x) + F_470(x) + F_474(x))
Eq(F_470(x), F_171(x)*F_471(x))
Eq(F_471(x), F_472(x) + F_473(x))
Eq(F_472(x), F_349(x))
Eq(F_473(x), F_469(x))
Eq(F_474(x), F_171(x)*F_475(x))
Eq(F_475(x), F_476(x) + F_483(x))
Eq(F_476(x), F_465(x) + F_477(x))
Eq(F_477(x), F_23(x) + F_478(x) + F_482(x))
Eq(F_478(x), F_171(x)*F_479(x))
Eq(F_479(x), F_480(x) + F_481(x))
Eq(F_480(x), F_327(x))
Eq(F_481(x), F_477(x))
Eq(F_482(x), F_171(x)*F_476(x))
Eq(F_483(x), F_469(x))
Eq(F_484(x), F_155(x, 1))
Eq(F_485(x), F_2(x) + F_464(x))
Eq(F_486(x), F_487(x))
Eq(F_487(x), F_171(x)*F_326(x)*F_488(x))
Eq(F_488(x), F_391(x, 1))
Eq(F_489(x, k_0), F_490(x, k_0))
Eq(F_490(x, k_0), F_14(x, k_0)*F_228(x, k_0)*F_491(x, k_0))
Eq(F_491(x, k_0), F_492(x, k_0) + F_55(x, k_0))
Eq(F_492(x, k_0), F_1(x) + F_51(x, k_0))
Pack JSON:
{"name": "point_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"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], [2, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 2], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 0], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 0], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 3], [0, 0], [0, 3], [2, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 3], [0, 0], [2, 3], [2, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": 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[0, 1], "pos": [[1, 4], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 5]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 4]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 1]]}, {"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, 0], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 3], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 3], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 3], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 5]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 4], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 5], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 4], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 5], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 4], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 5], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 4]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 5]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 0], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 0], [1, 4]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 0], [1, 5]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 1], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 1], [1, 4]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 1], [1, 5]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 5]]}, {"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], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 3], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 4], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 5], [1, 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, 3], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 4], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 4]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 5]]}, {"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], [1, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 4]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 5]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 0], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 0], [1, 3], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 0], [1, 4], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 0], [1, 5], [1, 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, 3], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 4], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 0], [1, 3]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 0], [1, 4]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 0], [1, 5]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 3]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 4]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 1], [1, 1], [1, 1], [1, 5]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 4]]}], [{"patt": [0], "pos": [[1, 5]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}]}]}, "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": [[0, 5]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 5]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 5]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 5]]}, {"patt": [0, 1], "pos": [[1, 5], [1, 5]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 4]]}, {"patt": [1, 0], "pos": [[1, 5], [1, 5]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 3], [1, 3], [1, 5]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 4], [1, 3]]}, {"patt": [0, 2, 1], "pos": [[1, 3], [1, 5], [1, 3]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 3]]}], [{"patt": [0], "pos": [[1, 4]]}], [{"patt": [0], "pos": [[1, 5]]}]], "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]]}, {"patt": [0], "pos": [[1, 5]]}]}]}, "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, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"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, 2], [1, 0]]}, {"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, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[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_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25024/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[13,x,k[0]]+F[16,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]+F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]*F[8,x,k[0]]
F[12,x,k[0]] = k[0]*x
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x]
F[14,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[15,x] = x
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]*F[86,x,k[0]]
F[18,x,k[0]] = F[103,x,k[0]]+F[19,x,k[0]]
F[19,x,k[0]] = F[101,x,k[0]]+F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]+F[9,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[15,x]*F[23,x,k[0]]
F[23,x,k[0]] = 1/(-1+k[0])*(F[24,x,k[0]]*k[0]-F[24,x,1])
F[24,x,k[0]] = F[25,x]+F[60,x,k[0]]
F[25,x] = F[26,x]+F[55,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]+F[36,x]
F[28,x] = F[1,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[15,x]*F[31,x]
F[31,x] = F[32,x]+F[35,x]
F[32,x] = F[1,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[15,x]*F[32,x]
F[35,x] = F[29,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[38,x]
F[38,x] = F[15,x]*F[27,x]
F[39,x] = F[40,x]+F[41,x]+F[45,x]
F[40,x] = 0
F[41,x] = F[15,x]*F[42,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[29,x]
F[44,x] = F[39,x]
F[45,x] = F[15,x]*F[46,x]
F[46,x] = F[47,x]+F[54,x]
F[47,x] = F[37,x]+F[48,x]
F[48,x] = F[40,x]+F[49,x]+F[53,x]
F[49,x] = F[15,x]*F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[33,x]
F[52,x] = F[48,x]
F[53,x] = F[15,x]*F[47,x]
F[54,x] = F[39,x]
F[55,x] = -F[59,x]+F[56,x]
F[56,x] = 1/F[15,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[37,x]+F[5,x]
F[59,x] = F[60,x,1]
F[60,x,k[0]] = F[61,x,k[0]]+F[62,x,k[0]]
F[20,x,k[0]] = F[4,x]+F[61,x,k[0]]
F[62,x,k[0]] = F[15,x]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[12,x,k[0]]*F[65,x]*F[86,x,k[0]]*F[89,x,k[0]]
F[65,x] = 1/F[15,x]/F[32,x]/F[72,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x,1]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]+F[84,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]
F[71,x,k[0]] = F[15,x]*F[19,x,k[0]]*F[32,x]*F[72,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[15,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[1,x]+F[15,x]
F[77,x] = F[73,x]+F[78,x]
F[78,x] = F[40,x]+F[79,x]+F[83,x]
F[79,x] = F[15,x]*F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[15,x]
F[82,x] = F[78,x]
F[83,x] = F[15,x]*F[73,x]
F[84,x,k[0]] = F[15,x]*F[85,x,k[0]]
F[85,x,k[0]] = 1/(-1+k[0])*(F[69,x,k[0]]*k[0]-F[69,x,1])
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[12,x,k[0]]*F[86,x,k[0]]
F[89,x,k[0]] = F[1,x]+F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[12,x,k[0]]*F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]+F[94,x,k[0]]
F[93,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[94,x,k[0]] = F[90,x,k[0]]+F[95,x,k[0]]
F[95,x,k[0]] = F[100,x,k[0]]+F[40,x]+F[96,x,k[0]]
F[96,x,k[0]] = F[12,x,k[0]]*F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]+F[99,x,k[0]]
F[98,x,k[0]] = F[12,x,k[0]]
F[99,x,k[0]] = F[95,x,k[0]]
F[100,x,k[0]] = F[12,x,k[0]]*F[90,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]*F[86,x,k[0]]
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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{16}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = y x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{14}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{15}\! \left(x \right) = x
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = -\frac{-F_{24}\! \left(x , y\right) y +F_{24}\! \left(x , 1\right)}{-1+y}
F_{24}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{60}\! \left(x , y\right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{55}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{36}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{15}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{35}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right) F_{32}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right) F_{27}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)+F_{45}\! \left(x \right)
F_{40}\! \left(x \right) = 0
F_{41}\! \left(x \right) = F_{15}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{29}\! \left(x \right)
F_{44}\! \left(x \right) = F_{39}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{54}\! \left(x \right)
F_{47}\! \left(x \right) = F_{37}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{40}\! \left(x \right)+F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{49}\! \left(x \right) = F_{15}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{33}\! \left(x \right)
F_{52}\! \left(x \right) = F_{48}\! \left(x \right)
F_{53}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{54}\! \left(x \right) = F_{39}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{5}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x , 1\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{65}\! \left(x \right) F_{86}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{15}\! \left(x \right) F_{32}\! \left(x \right) F_{72}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{19}\! \left(x , y\right) F_{32}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{40}\! \left(x \right)+F_{79}\! \left(x \right)+F_{83}\! \left(x \right)
F_{79}\! \left(x \right) = F_{15}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{15}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{73}\! \left(x \right)
F_{84}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = -\frac{-y F_{69}\! \left(x , y\right)+F_{69}\! \left(x , 1\right)}{-1+y}
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_{12}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{90}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{40}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{90}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right) F_{86}\! \left(x , y\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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_13(x, k_0) + F_16(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x) + F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0)*F_8(x, k_0))
Eq(F_12(x, k_0), k_0*x)
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x))
Eq(F_14(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_15(x), x)
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_12(x, k_0)*F_18(x, k_0)*F_86(x, k_0))
Eq(F_18(x, k_0), F_103(x, k_0) + F_19(x, k_0))
Eq(F_19(x, k_0), F_101(x, k_0) + F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0) + F_9(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_15(x)*F_23(x, k_0))
Eq(F_23(x, k_0), (k_0*F_24(x, k_0) - F_24(x, 1))/(k_0 - 1))
Eq(F_24(x, k_0), F_25(x) + F_60(x, k_0))
Eq(F_25(x), F_26(x) + F_55(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) + F_36(x))
Eq(F_28(x), F_1(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_15(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_35(x))
Eq(F_32(x), F_1(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_15(x)*F_32(x))
Eq(F_35(x), F_29(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_15(x)*F_27(x))
Eq(F_39(x), F_40(x) + F_41(x) + F_45(x))
Eq(F_40(x), 0)
Eq(F_41(x), F_15(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_29(x))
Eq(F_44(x), F_39(x))
Eq(F_45(x), F_15(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_54(x))
Eq(F_47(x), F_37(x) + F_48(x))
Eq(F_48(x), F_40(x) + F_49(x) + F_53(x))
Eq(F_49(x), F_15(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_33(x))
Eq(F_52(x), F_48(x))
Eq(F_53(x), F_15(x)*F_47(x))
Eq(F_54(x), F_39(x))
Eq(F_55(x), F_56(x) - F_59(x))
Eq(F_56(x), F_57(x)/F_15(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), -F_37(x) + F_5(x))
Eq(F_59(x), F_60(x, 1))
Eq(F_60(x, k_0), F_61(x, k_0) + F_62(x, k_0))
Eq(F_20(x, k_0), F_4(x) + F_61(x, k_0))
Eq(F_62(x, k_0), F_15(x)*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_12(x, k_0)*F_65(x)*F_86(x, k_0)*F_89(x, k_0))
Eq(F_65(x), F_66(x)/(F_15(x)*F_32(x)*F_72(x)))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x, 1))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0) + F_84(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0))
Eq(F_71(x, k_0), F_15(x)*F_19(x, k_0)*F_32(x)*F_72(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_15(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_1(x) + F_15(x))
Eq(F_77(x), F_73(x) + F_78(x))
Eq(F_78(x), F_40(x) + F_79(x) + F_83(x))
Eq(F_79(x), F_15(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_15(x))
Eq(F_82(x), F_78(x))
Eq(F_83(x), F_15(x)*F_73(x))
Eq(F_84(x, k_0), F_15(x)*F_85(x, k_0))
Eq(F_85(x, k_0), (k_0*F_69(x, k_0) - F_69(x, 1))/(k_0 - 1))
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_12(x, k_0)*F_86(x, k_0))
Eq(F_89(x, k_0), F_1(x) + F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_12(x, k_0)*F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0) + F_94(x, k_0))
Eq(F_93(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_94(x, k_0), F_90(x, k_0) + F_95(x, k_0))
Eq(F_95(x, k_0), F_100(x, k_0) + F_40(x) + F_96(x, k_0))
Eq(F_96(x, k_0), F_12(x, k_0)*F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0) + F_99(x, k_0))
Eq(F_98(x, k_0), F_12(x, k_0))
Eq(F_99(x, k_0), F_95(x, k_0))
Eq(F_100(x, k_0), F_12(x, k_0)*F_90(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_12(x, k_0)*F_18(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_12(x, k_0)*F_18(x, k_0)*F_86(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}], "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, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]]}], "iterative": false}
Specification JSON:
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2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"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"}}]}

Specification 3
Strategy pack name: point_and_row_placements_tracked_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25244/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[13,x,k[0]]+F[16,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]+F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]*F[8,x,k[0]]
F[12,x,k[0]] = k[0]*x
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x]
F[14,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[15,x] = x
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]*F[86,x,k[0]]
F[18,x,k[0]] = F[103,x,k[0]]+F[19,x,k[0]]
F[19,x,k[0]] = F[101,x,k[0]]+F[20,x,k[0]]
F[20,x,k[0]] = F[21,x,k[0]]+F[9,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[15,x]*F[23,x,k[0]]
F[23,x,k[0]] = 1/(-1+k[0])*(F[24,x,k[0]]*k[0]-F[24,x,1])
F[24,x,k[0]] = F[25,x]+F[60,x,k[0]]
F[25,x] = F[26,x]+F[55,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]+F[36,x]
F[28,x] = F[1,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[15,x]*F[31,x]
F[31,x] = F[32,x]+F[35,x]
F[32,x] = F[1,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[15,x]*F[32,x]
F[35,x] = F[29,x]
F[36,x] = F[37,x]+F[39,x]
F[37,x] = F[38,x]
F[38,x] = F[15,x]*F[27,x]
F[39,x] = F[40,x]+F[41,x]+F[45,x]
F[40,x] = 0
F[41,x] = F[15,x]*F[42,x]
F[42,x] = F[43,x]+F[44,x]
F[43,x] = F[29,x]
F[44,x] = F[39,x]
F[45,x] = F[15,x]*F[46,x]
F[46,x] = F[47,x]+F[54,x]
F[47,x] = F[37,x]+F[48,x]
F[48,x] = F[40,x]+F[49,x]+F[53,x]
F[49,x] = F[15,x]*F[50,x]
F[50,x] = F[51,x]+F[52,x]
F[51,x] = F[33,x]
F[52,x] = F[48,x]
F[53,x] = F[15,x]*F[47,x]
F[54,x] = F[39,x]
F[55,x] = -F[59,x]+F[56,x]
F[56,x] = 1/F[15,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[37,x]+F[5,x]
F[59,x] = F[60,x,1]
F[60,x,k[0]] = F[61,x,k[0]]+F[62,x,k[0]]
F[20,x,k[0]] = F[4,x]+F[61,x,k[0]]
F[62,x,k[0]] = F[15,x]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[12,x,k[0]]*F[65,x]*F[86,x,k[0]]*F[89,x,k[0]]
F[65,x] = 1/F[15,x]/F[32,x]/F[72,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x,1]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]+F[84,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]
F[71,x,k[0]] = F[15,x]*F[19,x,k[0]]*F[32,x]*F[72,x]
F[72,x] = F[1,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[15,x]*F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[1,x]+F[15,x]
F[77,x] = F[73,x]+F[78,x]
F[78,x] = F[40,x]+F[79,x]+F[83,x]
F[79,x] = F[15,x]*F[80,x]
F[80,x] = F[81,x]+F[82,x]
F[81,x] = F[15,x]
F[82,x] = F[78,x]
F[83,x] = F[15,x]*F[73,x]
F[84,x,k[0]] = F[15,x]*F[85,x,k[0]]
F[85,x,k[0]] = 1/(-1+k[0])*(F[69,x,k[0]]*k[0]-F[69,x,1])
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[12,x,k[0]]*F[86,x,k[0]]
F[89,x,k[0]] = F[1,x]+F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[12,x,k[0]]*F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]+F[94,x,k[0]]
F[93,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[94,x,k[0]] = F[90,x,k[0]]+F[95,x,k[0]]
F[95,x,k[0]] = F[100,x,k[0]]+F[40,x]+F[96,x,k[0]]
F[96,x,k[0]] = F[12,x,k[0]]*F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]+F[99,x,k[0]]
F[98,x,k[0]] = F[12,x,k[0]]
F[99,x,k[0]] = F[95,x,k[0]]
F[100,x,k[0]] = F[12,x,k[0]]*F[90,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[12,x,k[0]]*F[18,x,k[0]]*F[86,x,k[0]]
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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{16}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{10}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = y x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x \right)
F_{14}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{15}\! \left(x \right) = x
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = -\frac{-F_{24}\! \left(x , y\right) y +F_{24}\! \left(x , 1\right)}{-1+y}
F_{24}\! \left(x , y\right) = F_{25}\! \left(x \right)+F_{60}\! \left(x , y\right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{55}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{36}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{15}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{35}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right) F_{32}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{39}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right) F_{27}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{41}\! \left(x \right)+F_{45}\! \left(x \right)
F_{40}\! \left(x \right) = 0
F_{41}\! \left(x \right) = F_{15}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{44}\! \left(x \right)
F_{43}\! \left(x \right) = F_{29}\! \left(x \right)
F_{44}\! \left(x \right) = F_{39}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{54}\! \left(x \right)
F_{47}\! \left(x \right) = F_{37}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{40}\! \left(x \right)+F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{49}\! \left(x \right) = F_{15}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = F_{33}\! \left(x \right)
F_{52}\! \left(x \right) = F_{48}\! \left(x \right)
F_{53}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{54}\! \left(x \right) = F_{39}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{5}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x , 1\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{65}\! \left(x \right) F_{86}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{15}\! \left(x \right) F_{32}\! \left(x \right) F_{72}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{19}\! \left(x , y\right) F_{32}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{15}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{77}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{40}\! \left(x \right)+F_{79}\! \left(x \right)+F_{83}\! \left(x \right)
F_{79}\! \left(x \right) = F_{15}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{82}\! \left(x \right)
F_{81}\! \left(x \right) = F_{15}\! \left(x \right)
F_{82}\! \left(x \right) = F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{73}\! \left(x \right)
F_{84}\! \left(x , y\right) = F_{15}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = -\frac{-y F_{69}\! \left(x , y\right)+F_{69}\! \left(x , 1\right)}{-1+y}
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_{12}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{90}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{40}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{90}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{18}\! \left(x , y\right) F_{86}\! \left(x , y\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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_13(x, k_0) + F_16(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x) + F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0)*F_8(x, k_0))
Eq(F_12(x, k_0), k_0*x)
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x))
Eq(F_14(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_15(x), x)
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_12(x, k_0)*F_18(x, k_0)*F_86(x, k_0))
Eq(F_18(x, k_0), F_103(x, k_0) + F_19(x, k_0))
Eq(F_19(x, k_0), F_101(x, k_0) + F_20(x, k_0))
Eq(F_20(x, k_0), F_21(x, k_0) + F_9(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_15(x)*F_23(x, k_0))
Eq(F_23(x, k_0), (k_0*F_24(x, k_0) - F_24(x, 1))/(k_0 - 1))
Eq(F_24(x, k_0), F_25(x) + F_60(x, k_0))
Eq(F_25(x), F_26(x) + F_55(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) + F_36(x))
Eq(F_28(x), F_1(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_15(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_35(x))
Eq(F_32(x), F_1(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_15(x)*F_32(x))
Eq(F_35(x), F_29(x))
Eq(F_36(x), F_37(x) + F_39(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_15(x)*F_27(x))
Eq(F_39(x), F_40(x) + F_41(x) + F_45(x))
Eq(F_40(x), 0)
Eq(F_41(x), F_15(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_44(x))
Eq(F_43(x), F_29(x))
Eq(F_44(x), F_39(x))
Eq(F_45(x), F_15(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_54(x))
Eq(F_47(x), F_37(x) + F_48(x))
Eq(F_48(x), F_40(x) + F_49(x) + F_53(x))
Eq(F_49(x), F_15(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_52(x))
Eq(F_51(x), F_33(x))
Eq(F_52(x), F_48(x))
Eq(F_53(x), F_15(x)*F_47(x))
Eq(F_54(x), F_39(x))
Eq(F_55(x), F_56(x) - F_59(x))
Eq(F_56(x), F_57(x)/F_15(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), -F_37(x) + F_5(x))
Eq(F_59(x), F_60(x, 1))
Eq(F_60(x, k_0), F_61(x, k_0) + F_62(x, k_0))
Eq(F_20(x, k_0), F_4(x) + F_61(x, k_0))
Eq(F_62(x, k_0), F_15(x)*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_12(x, k_0)*F_65(x)*F_86(x, k_0)*F_89(x, k_0))
Eq(F_65(x), F_66(x)/(F_15(x)*F_32(x)*F_72(x)))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x, 1))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0) + F_84(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0))
Eq(F_71(x, k_0), F_15(x)*F_19(x, k_0)*F_32(x)*F_72(x))
Eq(F_72(x), F_1(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_15(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_1(x) + F_15(x))
Eq(F_77(x), F_73(x) + F_78(x))
Eq(F_78(x), F_40(x) + F_79(x) + F_83(x))
Eq(F_79(x), F_15(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_82(x))
Eq(F_81(x), F_15(x))
Eq(F_82(x), F_78(x))
Eq(F_83(x), F_15(x)*F_73(x))
Eq(F_84(x, k_0), F_15(x)*F_85(x, k_0))
Eq(F_85(x, k_0), (k_0*F_69(x, k_0) - F_69(x, 1))/(k_0 - 1))
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_12(x, k_0)*F_86(x, k_0))
Eq(F_89(x, k_0), F_1(x) + F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_12(x, k_0)*F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0) + F_94(x, k_0))
Eq(F_93(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_94(x, k_0), F_90(x, k_0) + F_95(x, k_0))
Eq(F_95(x, k_0), F_100(x, k_0) + F_40(x) + F_96(x, k_0))
Eq(F_96(x, k_0), F_12(x, k_0)*F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0) + F_99(x, k_0))
Eq(F_98(x, k_0), F_12(x, k_0))
Eq(F_99(x, k_0), F_95(x, k_0))
Eq(F_100(x, k_0), F_12(x, k_0)*F_90(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_12(x, k_0)*F_18(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_12(x, k_0)*F_18(x, k_0)*F_86(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}], "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, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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"comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 0]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"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"}}]}

Specification 4
Strategy pack name: point_placements_tracked_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25412/
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[179,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[179,x]*F[7,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[148,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[143,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]+F[56,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[16,x,k[0]]+F[29,x,k[0]]
F[16,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[14,x,k[0]]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]+F[21,x,k[0]]
F[20,x,k[0]] = F[1,x]+F[14,x,k[0]]
F[21,x,k[0]] = F[17,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x]+F[24,x,k[0]]+F[28,x,k[0]]
F[23,x] = 0
F[24,x,k[0]] = F[14,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[27,x,k[0]]
F[26,x,k[0]] = F[14,x,k[0]]
F[27,x,k[0]] = F[22,x,k[0]]
F[28,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[29,x,k[0]] = F[12,x,k[0]]+F[30,x,k[0]]
F[30,x,k[0]] = F[23,x]+F[31,x,k[0]]+F[52,x,k[0]]
F[31,x,k[0]] = F[14,x,k[0]]*F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]+F[40,x,k[0]]
F[33,x,k[0]] = F[14,x,k[0]]+F[34,x,k[0]]
F[34,x,k[0]] = F[23,x]+F[35,x,k[0]]+F[39,x,k[0]]
F[35,x,k[0]] = F[14,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]+F[38,x,k[0]]
F[37,x,k[0]] = F[14,x,k[0]]
F[38,x,k[0]] = F[34,x,k[0]]
F[39,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[43,x,k[0]]
F[41,x,k[0]] = F[23,x]+F[31,x,k[0]]+F[42,x,k[0]]
F[42,x,k[0]] = F[12,x,k[0]]*F[14,x,k[0]]
F[43,x,k[0]] = F[23,x]+F[44,x,k[0]]+F[45,x,k[0]]+F[51,x,k[0]]
F[44,x,k[0]] = 0
F[45,x,k[0]] = F[14,x,k[0]]*F[46,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[49,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[42,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = 2*F[23,x]+F[45,x,k[0]]+F[51,x,k[0]]
F[51,x,k[0]] = F[14,x,k[0]]*F[30,x,k[0]]
F[52,x,k[0]] = F[14,x,k[0]]*F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]+F[55,x,k[0]]
F[54,x,k[0]] = F[12,x,k[0]]+F[48,x,k[0]]
F[55,x,k[0]] = F[30,x,k[0]]+F[50,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]+F[68,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[14,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[20,x,k[0]]+F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]+F[64,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[14,x,k[0]]*F[63,x,k[0]]
F[63,x,k[0]] = F[1,x]+F[61,x,k[0]]
F[64,x,k[0]] = F[23,x]+F[65,x,k[0]]+F[67,x,k[0]]
F[65,x,k[0]] = F[14,x,k[0]]*F[66,x,k[0]]
F[66,x,k[0]] = F[14,x,k[0]]+F[64,x,k[0]]
F[67,x,k[0]] = F[14,x,k[0]]*F[61,x,k[0]]
F[68,x,k[0]] = F[23,x]+F[69,x,k[0]]+F[98,x,k[0]]
F[69,x,k[0]] = F[14,x,k[0]]*F[70,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]+F[84,x,k[0]]
F[71,x,k[0]] = F[17,x,k[0]]+F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]
F[73,x,k[0]] = F[14,x,k[0]]*F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]+F[77,x,k[0]]
F[75,x,k[0]] = F[61,x,k[0]]+F[76,x,k[0]]
F[76,x,k[0]] = F[67,x,k[0]]
F[77,x,k[0]] = F[72,x,k[0]]+F[78,x,k[0]]
F[78,x,k[0]] = 2*F[23,x]+F[79,x,k[0]]+F[83,x,k[0]]
F[79,x,k[0]] = F[14,x,k[0]]*F[80,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]+F[82,x,k[0]]
F[81,x,k[0]] = F[76,x,k[0]]
F[82,x,k[0]] = F[78,x,k[0]]
F[83,x,k[0]] = F[14,x,k[0]]*F[72,x,k[0]]
F[84,x,k[0]] = F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]
F[86,x,k[0]] = F[14,x,k[0]]*F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]+F[91,x,k[0]]
F[88,x,k[0]] = F[57,x,k[0]]+F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[14,x,k[0]]*F[57,x,k[0]]
F[91,x,k[0]] = F[85,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = 2*F[23,x]+F[93,x,k[0]]+F[97,x,k[0]]
F[93,x,k[0]] = F[14,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[89,x,k[0]]
F[96,x,k[0]] = F[92,x,k[0]]
F[97,x,k[0]] = F[14,x,k[0]]*F[85,x,k[0]]
F[98,x,k[0]] = F[14,x,k[0]]*F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[114,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]+F[57,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]+F[106,x,k[0]]+F[23,x]
F[102,x,k[0]] = F[103,x,k[0]]*F[14,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]+F[105,x,k[0]]
F[104,x,k[0]] = F[14,x,k[0]]+F[76,x,k[0]]
F[105,x,k[0]] = F[89,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[14,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]+F[88,x,k[0]]
F[108,x,k[0]] = F[101,x,k[0]]+F[109,x,k[0]]
F[109,x,k[0]] = 2*F[23,x]+F[110,x,k[0]]+F[113,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]*F[14,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[95,x,k[0]]
F[112,x,k[0]] = F[109,x,k[0]]
F[113,x,k[0]] = F[101,x,k[0]]*F[14,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]+F[68,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[120,x,k[0]]+F[139,x,k[0]]+F[23,x]
F[116,x,k[0]] = F[117,x,k[0]]*F[14,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[119,x,k[0]]
F[118,x,k[0]] = F[34,x,k[0]]+F[78,x,k[0]]
F[119,x,k[0]] = F[92,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]*F[14,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]+F[126,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]+F[124,x,k[0]]
F[123,x,k[0]] = F[102,x,k[0]]+F[23,x]+F[90,x,k[0]]
F[124,x,k[0]] = F[110,x,k[0]]+F[113,x,k[0]]+F[125,x,k[0]]+F[23,x]
F[125,x,k[0]] = 0
F[126,x,k[0]] = F[127,x,k[0]]+F[129,x,k[0]]
F[127,x,k[0]] = F[116,x,k[0]]+F[120,x,k[0]]+F[128,x,k[0]]+F[23,x]
F[128,x,k[0]] = F[14,x,k[0]]*F[68,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]+F[131,x,k[0]]+F[132,x,k[0]]+F[138,x,k[0]]+F[23,x]
F[130,x,k[0]] = 0
F[131,x,k[0]] = 0
F[132,x,k[0]] = F[133,x,k[0]]*F[14,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]+F[136,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]
F[135,x,k[0]] = F[128,x,k[0]]
F[136,x,k[0]] = F[137,x,k[0]]
F[137,x,k[0]] = 3*F[23,x]+F[132,x,k[0]]+F[138,x,k[0]]
F[138,x,k[0]] = F[115,x,k[0]]*F[14,x,k[0]]
F[139,x,k[0]] = F[14,x,k[0]]*F[140,x,k[0]]
F[140,x,k[0]] = F[141,x,k[0]]+F[142,x,k[0]]
F[141,x,k[0]] = F[135,x,k[0]]+F[68,x,k[0]]
F[142,x,k[0]] = F[115,x,k[0]]+F[137,x,k[0]]
F[143,x,k[0]] = F[144,x,k[0]]+F[494,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]+F[2,x]
F[145,x,k[0]] = F[146,x,k[0]]
F[146,x,k[0]] = F[14,x,k[0]]*F[147,x,k[0]]
F[147,x,k[0]] = F[143,x,k[0]]+F[148,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]*F[179,x]
F[150,x,k[0]] = F[151,x,k[0]]+F[152,x,k[0]]
F[151,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[152,x,k[0]] = F[153,x,k[0]]*F[57,x,k[0]]
F[153,x,k[0]] = F[154,x,k[0]]+F[401,x,k[0]]
F[154,x,k[0]] = 1/(-1+k[0])*(F[155,x,k[0]]*k[0]-F[155,x,1])
F[155,x,k[0]] = F[156,x,k[0]]+F[4,x]
F[156,x,k[0]] = F[157,x,k[0]]+F[158,x,k[0]]
F[157,x,k[0]] = F[12,x,k[0]]+F[145,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[160,x,k[0]]*F[179,x]
F[160,x,k[0]] = -k[0]*(F[161,x,1]-F[161,x,k[0]])/(-1+k[0])
F[161,x,k[0]] = F[156,x,k[0]]+F[162,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]*F[179,x]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[14,x,k[0]]*F[16,x,k[0]]*F[167,x]*F[63,x,k[0]]
F[167,x] = F[168,x,1]
F[169,x,k[0]] = F[168,x,k[0]]*F[332,x]*F[334,x]
F[170,x,k[0]] = F[169,x,k[0]]+F[397,x,k[0]]
F[171,x,k[0]] = F[170,x,k[0]]*F[179,x]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]+F[335,x,k[0]]
F[173,x,k[0]] = F[174,x,k[0]]+F[228,x,k[0]]
F[174,x,k[0]] = F[175,x]+F[187,x,k[0]]
F[175,x] = F[176,x]
F[176,x] = F[177,x]*F[179,x]
F[177,x] = F[178,x]+F[180,x]
F[178,x] = F[1,x]+F[179,x]
F[179,x] = x
F[180,x] = F[175,x]+F[181,x]
F[181,x] = F[182,x]+F[186,x]+F[23,x]
F[182,x] = F[179,x]*F[183,x]
F[183,x] = F[184,x]+F[185,x]
F[184,x] = F[179,x]
F[185,x] = F[181,x]
F[186,x] = F[175,x]*F[179,x]
F[187,x,k[0]] = F[188,x,k[0]]+F[217,x,k[0]]+F[23,x]
F[188,x,k[0]] = F[14,x,k[0]]*F[189,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]+F[193,x,k[0]]
F[190,x,k[0]] = F[179,x]+F[191,x,k[0]]
F[191,x,k[0]] = F[192,x,k[0]]
F[192,x,k[0]] = F[17,x,k[0]]*F[179,x]
F[193,x,k[0]] = F[194,x,k[0]]+F[196,x,k[0]]
F[194,x,k[0]] = F[188,x,k[0]]+F[195,x,k[0]]+F[23,x]
F[195,x,k[0]] = F[12,x,k[0]]*F[179,x]
F[196,x,k[0]] = F[197,x,k[0]]
F[197,x,k[0]] = F[179,x]*F[198,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]+F[207,x,k[0]]+F[23,x]
F[199,x,k[0]] = F[14,x,k[0]]*F[200,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]+F[203,x,k[0]]
F[201,x,k[0]] = F[14,x,k[0]]+F[202,x,k[0]]
F[202,x,k[0]] = k[0]*F[191,x,k[0]]
F[203,x,k[0]] = F[204,x,k[0]]+F[205,x,k[0]]
F[204,x,k[0]] = k[0]*F[194,x,k[0]]
F[205,x,k[0]] = F[206,x,k[0]]
F[206,x,k[0]] = F[14,x,k[0]]*F[198,x,k[0]]
F[207,x,k[0]] = F[14,x,k[0]]*F[208,x,k[0]]
F[208,x,k[0]] = F[209,x,k[0]]+F[210,x,k[0]]
F[209,x,k[0]] = F[12,x,k[0]]+F[204,x,k[0]]
F[210,x,k[0]] = F[198,x,k[0]]+F[211,x,k[0]]
F[211,x,k[0]] = F[206,x,k[0]]+F[212,x,k[0]]+F[213,x,k[0]]+F[23,x]
F[212,x,k[0]] = 0
F[213,x,k[0]] = F[14,x,k[0]]*F[214,x,k[0]]
F[214,x,k[0]] = F[215,x,k[0]]+F[216,x,k[0]]
F[215,x,k[0]] = F[204,x,k[0]]
F[216,x,k[0]] = F[211,x,k[0]]
F[217,x,k[0]] = F[179,x]*F[218,x,k[0]]
F[218,x,k[0]] = F[219,x,k[0]]+F[220,x,k[0]]
F[219,x,k[0]] = F[12,x,k[0]]+F[194,x,k[0]]
F[220,x,k[0]] = F[187,x,k[0]]+F[221,x,k[0]]
F[221,x,k[0]] = F[222,x,k[0]]+F[223,x,k[0]]+F[227,x,k[0]]+F[23,x]
F[222,x,k[0]] = 0
F[223,x,k[0]] = F[179,x]*F[224,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]+F[226,x,k[0]]
F[225,x,k[0]] = F[194,x,k[0]]
F[226,x,k[0]] = F[221,x,k[0]]
F[227,x,k[0]] = F[179,x]*F[187,x,k[0]]
F[228,x,k[0]] = F[229,x,k[0]]
F[229,x,k[0]] = F[179,x]*F[230,x,k[0]]*F[331,x]*F[334,x]
F[231,x,k[0]] = F[14,x,k[0]]*F[16,x,k[0]]*F[230,x,k[0]]*F[63,x,k[0]]
F[231,x,k[0]] = F[232,x,k[0]]
F[233,x,k[0]] = F[144,x,k[0]]+F[232,x,k[0]]
F[233,x,k[0]] = F[234,x,k[0]]
F[234,x,k[0]] = F[179,x]*F[235,x,k[0]]
F[236,x,k[0]] = F[14,x,k[0]]*F[235,x,k[0]]
F[236,x,k[0]] = F[237,x,k[0]]
F[237,x,k[0]] = F[238,x,k[0]]+F[242,x,k[0]]
F[238,x,k[0]] = F[12,x,k[0]]*F[239,x]
F[239,x] = F[0,x]+F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[179,x]*F[7,x]
F[242,x,k[0]] = F[243,x,k[0]]
F[243,x,k[0]] = F[14,x,k[0]]*F[244,x,k[0]]
F[244,x,k[0]] = F[245,x,k[0]]+F[246,x,k[0]]
F[245,x,k[0]] = F[12,x,k[0]]*F[151,x,k[0]]
F[246,x,k[0]] = F[153,x,k[0]]*F[247,x,k[0]]
F[247,x,k[0]] = F[248,x,k[0]]+F[57,x,k[0]]
F[248,x,k[0]] = F[23,x]+F[249,x,k[0]]+F[282,x,k[0]]
F[249,x,k[0]] = F[14,x,k[0]]*F[250,x,k[0]]
F[250,x,k[0]] = F[251,x,k[0]]+F[265,x,k[0]]
F[251,x,k[0]] = F[17,x,k[0]]+F[252,x,k[0]]
F[252,x,k[0]] = F[253,x,k[0]]
F[253,x,k[0]] = F[14,x,k[0]]*F[254,x,k[0]]
F[254,x,k[0]] = F[255,x,k[0]]+F[258,x,k[0]]
F[255,x,k[0]] = F[256,x,k[0]]+F[61,x,k[0]]
F[256,x,k[0]] = F[257,x,k[0]]
F[257,x,k[0]] = F[14,x,k[0]]*F[61,x,k[0]]
F[258,x,k[0]] = F[252,x,k[0]]+F[259,x,k[0]]
F[259,x,k[0]] = 2*F[23,x]+F[260,x,k[0]]+F[264,x,k[0]]
F[260,x,k[0]] = F[14,x,k[0]]*F[261,x,k[0]]
F[261,x,k[0]] = F[262,x,k[0]]+F[263,x,k[0]]
F[262,x,k[0]] = F[256,x,k[0]]
F[263,x,k[0]] = F[259,x,k[0]]
F[264,x,k[0]] = F[14,x,k[0]]*F[252,x,k[0]]
F[265,x,k[0]] = F[252,x,k[0]]+F[266,x,k[0]]
F[266,x,k[0]] = F[267,x,k[0]]
F[267,x,k[0]] = F[14,x,k[0]]*F[268,x,k[0]]
F[268,x,k[0]] = F[269,x,k[0]]+F[275,x,k[0]]
F[269,x,k[0]] = F[270,x,k[0]]+F[273,x,k[0]]
F[270,x,k[0]] = F[271,x,k[0]]
F[271,x,k[0]] = F[14,x,k[0]]*F[272,x,k[0]]
F[272,x,k[0]] = F[270,x,k[0]]+F[61,x,k[0]]
F[273,x,k[0]] = F[274,x,k[0]]
F[274,x,k[0]] = F[14,x,k[0]]*F[270,x,k[0]]
F[275,x,k[0]] = F[266,x,k[0]]+F[276,x,k[0]]
F[276,x,k[0]] = 3*F[23,x]+F[277,x,k[0]]+F[281,x,k[0]]
F[277,x,k[0]] = F[14,x,k[0]]*F[278,x,k[0]]
F[278,x,k[0]] = F[279,x,k[0]]+F[280,x,k[0]]
F[279,x,k[0]] = F[273,x,k[0]]
F[280,x,k[0]] = F[276,x,k[0]]
F[281,x,k[0]] = F[14,x,k[0]]*F[266,x,k[0]]
F[282,x,k[0]] = F[14,x,k[0]]*F[283,x,k[0]]
F[283,x,k[0]] = F[284,x,k[0]]+F[303,x,k[0]]
F[284,x,k[0]] = F[285,x,k[0]]+F[57,x,k[0]]
F[285,x,k[0]] = F[23,x]+F[286,x,k[0]]+F[290,x,k[0]]
F[286,x,k[0]] = F[14,x,k[0]]*F[287,x,k[0]]
F[287,x,k[0]] = F[288,x,k[0]]+F[289,x,k[0]]
F[288,x,k[0]] = F[14,x,k[0]]+F[256,x,k[0]]
F[289,x,k[0]] = F[256,x,k[0]]+F[273,x,k[0]]
F[290,x,k[0]] = F[14,x,k[0]]*F[291,x,k[0]]
F[291,x,k[0]] = F[292,x,k[0]]+F[295,x,k[0]]
F[292,x,k[0]] = F[293,x,k[0]]+F[57,x,k[0]]
F[293,x,k[0]] = F[23,x]+F[286,x,k[0]]+F[294,x,k[0]]
F[294,x,k[0]] = F[14,x,k[0]]*F[57,x,k[0]]
F[295,x,k[0]] = F[285,x,k[0]]+F[296,x,k[0]]
F[296,x,k[0]] = F[23,x]+F[297,x,k[0]]+F[298,x,k[0]]+F[302,x,k[0]]
F[297,x,k[0]] = 0
F[298,x,k[0]] = F[14,x,k[0]]*F[299,x,k[0]]
F[299,x,k[0]] = F[300,x,k[0]]+F[301,x,k[0]]
F[300,x,k[0]] = F[293,x,k[0]]
F[301,x,k[0]] = F[296,x,k[0]]
F[302,x,k[0]] = F[14,x,k[0]]*F[285,x,k[0]]
F[303,x,k[0]] = F[248,x,k[0]]+F[304,x,k[0]]
F[304,x,k[0]] = F[23,x]+F[305,x,k[0]]+F[311,x,k[0]]+F[320,x,k[0]]
F[305,x,k[0]] = F[14,x,k[0]]*F[306,x,k[0]]
F[306,x,k[0]] = F[307,x,k[0]]+F[309,x,k[0]]
F[307,x,k[0]] = F[202,x,k[0]]+F[308,x,k[0]]
F[308,x,k[0]] = F[264,x,k[0]]
F[309,x,k[0]] = F[308,x,k[0]]+F[310,x,k[0]]
F[310,x,k[0]] = F[281,x,k[0]]
F[311,x,k[0]] = F[14,x,k[0]]*F[312,x,k[0]]
F[312,x,k[0]] = F[313,x,k[0]]+F[315,x,k[0]]
F[313,x,k[0]] = F[293,x,k[0]]+F[314,x,k[0]]
F[314,x,k[0]] = F[302,x,k[0]]
F[315,x,k[0]] = F[316,x,k[0]]+F[318,x,k[0]]
F[316,x,k[0]] = F[23,x]+F[305,x,k[0]]+F[311,x,k[0]]+F[317,x,k[0]]
F[317,x,k[0]] = F[14,x,k[0]]*F[248,x,k[0]]
F[318,x,k[0]] = F[319,x,k[0]]
F[319,x,k[0]] = F[14,x,k[0]]*F[304,x,k[0]]
F[320,x,k[0]] = F[14,x,k[0]]*F[321,x,k[0]]
F[321,x,k[0]] = F[322,x,k[0]]+F[323,x,k[0]]
F[322,x,k[0]] = F[248,x,k[0]]+F[316,x,k[0]]
F[323,x,k[0]] = F[304,x,k[0]]+F[324,x,k[0]]
F[324,x,k[0]] = F[23,x]+F[319,x,k[0]]+F[325,x,k[0]]+F[326,x,k[0]]+F[327,x,k[0]]
F[325,x,k[0]] = 0
F[326,x,k[0]] = 0
F[327,x,k[0]] = F[14,x,k[0]]*F[328,x,k[0]]
F[328,x,k[0]] = F[329,x,k[0]]+F[330,x,k[0]]
F[329,x,k[0]] = F[316,x,k[0]]
F[330,x,k[0]] = F[324,x,k[0]]
F[331,x] = F[1,x]+F[332,x]
F[332,x] = F[333,x]
F[333,x] = F[179,x]*F[331,x]
F[334,x] = F[1,x]+F[175,x]
F[335,x,k[0]] = F[336,x,k[0]]
F[336,x,k[0]] = F[179,x]*F[337,x,k[0]]
F[337,x,k[0]] = 1/(-1+k[0])*(F[338,x,k[0]]*k[0]-F[338,x,1])
F[338,x,k[0]] = F[339,x,k[0]]
F[339,x,k[0]] = F[179,x]*F[340,x,k[0]]
F[340,x,k[0]] = F[341,x,k[0]]+F[345,x,k[0]]
F[341,x,k[0]] = F[342,x,k[0]]+F[392,x,k[0]]
F[343,x,k[0]] = F[342,x,k[0]]+F[345,x,k[0]]
F[344,x,k[0]] = F[179,x]*F[343,x,k[0]]
F[344,x,k[0]] = F[172,x,k[0]]
F[345,x,k[0]] = F[346,x,k[0]]
F[347,x,k[0]] = F[346,x,k[0]]+F[369,x,k[0]]
F[348,x,k[0]] = F[347,x,k[0]]+F[379,x,k[0]]
F[348,x,k[0]] = F[349,x,k[0]]+F[361,x,k[0]]
F[349,x,k[0]] = F[350,x,k[0]]+F[358,x,k[0]]
F[350,x,k[0]] = F[351,x,k[0]]*F[353,x]
F[351,x,k[0]] = F[173,x,k[0]]+F[352,x,k[0]]
F[352,x,k[0]] = F[0,x]+F[157,x,k[0]]
F[353,x] = F[1,x]+F[354,x]
F[354,x] = F[355,x]
F[355,x] = F[179,x]*F[356,x]
F[356,x] = F[331,x]+F[357,x]
F[357,x] = F[354,x]
F[358,x,k[0]] = F[359,x,k[0]]
F[359,x,k[0]] = F[179,x]*F[360,x,k[0]]
F[360,x,k[0]] = 1/(-1+k[0])*(F[348,x,k[0]]*k[0]-F[348,x,1])
F[361,x,k[0]] = F[362,x,k[0]]
F[362,x,k[0]] = F[331,x]*F[363,x,k[0]]
F[363,x,k[0]] = F[163,x,k[0]]+F[364,x]
F[364,x] = -F[0,x]+F[365,x]
F[365,x] = F[331,x]+F[366,x]
F[366,x] = F[367,x]
F[367,x] = F[179,x]*F[368,x]
F[368,x] = F[369,x,1]
F[370,x,k[0]] = F[338,x,k[0]]+F[369,x,k[0]]
F[370,x,k[0]] = F[371,x,k[0]]+F[375,x,k[0]]
F[371,x,k[0]] = F[351,x,k[0]]+F[372,x,k[0]]
F[372,x,k[0]] = F[373,x,k[0]]
F[373,x,k[0]] = F[179,x]*F[374,x,k[0]]
F[374,x,k[0]] = 1/(-1+k[0])*(F[370,x,k[0]]*k[0]-F[370,x,1])
F[375,x,k[0]] = F[376,x,k[0]]
F[376,x,k[0]] = F[363,x,k[0]]+F[377,x,k[0]]
F[377,x,k[0]] = F[378,x,k[0]]
F[338,x,k[0]] = F[172,x,k[0]]+F[378,x,k[0]]
F[379,x,k[0]] = F[380,x,k[0]]+F[390,x,k[0]]
F[380,x,k[0]] = F[381,x,k[0]]
F[381,x,k[0]] = F[179,x]*F[382,x,k[0]]
F[382,x,k[0]] = F[383,x,k[0]]+F[385,x,k[0]]
F[383,x,k[0]] = F[351,x,k[0]]*F[384,x]
F[384,x] = F[332,x]+F[353,x]
F[385,x,k[0]] = F[386,x,k[0]]
F[386,x,k[0]] = F[179,x]*F[387,x,k[0]]
F[387,x,k[0]] = 1/(-1+k[0])*(F[388,x,k[0]]*k[0]-F[388,x,1])
F[389,x,k[0]] = F[179,x]*F[388,x,k[0]]
F[389,x,k[0]] = F[379,x,k[0]]
F[390,x,k[0]] = F[391,x,k[0]]
F[391,x,k[0]] = F[332,x]*F[363,x,k[0]]
F[392,x,k[0]] = F[393,x,k[0]]
F[393,x,k[0]] = F[394,x,k[0]]*F[63,x,k[0]]
F[394,x,k[0]] = F[395,x,k[0]]
F[395,x,k[0]] = F[179,x]*F[396,x,k[0]]
F[396,x,k[0]] = F[165,x,k[0]]+F[167,x]
F[398,x,k[0]] = F[397,x,k[0]]+F[400,x,k[0]]
F[399,x,k[0]] = F[179,x]*F[398,x,k[0]]
F[399,x,k[0]] = F[172,x,k[0]]
F[400,x,k[0]] = F[346,x,k[0]]
F[401,x,k[0]] = F[402,x,k[0]]
F[402,x,k[0]] = F[179,x]*F[403,x,k[0]]
F[403,x,k[0]] = F[404,x,k[0]]+F[491,x]
F[404,x,k[0]] = 1/(-1+k[0])*(F[405,x,k[0]]*k[0]-F[405,x,1])
F[406,x,k[0]] = F[405,x,k[0]]+F[491,x]
F[407,x,k[0]] = F[179,x]*F[406,x,k[0]]
F[407,x,k[0]] = F[408,x,k[0]]
F[408,x,k[0]] = F[162,x,k[0]]+F[409,x]
F[409,x] = F[410,x]+F[465,x]
F[410,x] = F[411,x]+F[419,x]
F[411,x] = F[412,x]
F[412,x] = F[179,x]*F[413,x]
F[413,x] = F[178,x]+F[414,x]
F[414,x] = F[332,x]+F[415,x]
F[415,x] = F[23,x]+F[416,x]+F[418,x]
F[416,x] = F[179,x]*F[417,x]
F[417,x] = F[179,x]+F[415,x]
F[418,x] = F[179,x]*F[332,x]
F[419,x] = F[23,x]+F[420,x]+F[439,x]
F[420,x] = F[179,x]*F[421,x]
F[421,x] = F[422,x]+F[427,x]
F[422,x] = F[332,x]+F[423,x]
F[423,x] = F[23,x]+F[424,x]+F[425,x]
F[424,x] = F[179,x]*F[332,x]
F[425,x] = F[179,x]*F[426,x]
F[426,x] = F[179,x]+F[423,x]
F[427,x] = F[428,x]+F[433,x]
F[428,x] = F[23,x]+F[429,x]+F[431,x]
F[429,x] = F[179,x]*F[430,x]
F[430,x] = F[332,x]+F[428,x]
F[431,x] = F[179,x]*F[432,x]
F[432,x] = F[332,x]+F[428,x]
F[433,x] = F[23,x]+F[434,x]+F[436,x]+F[437,x]
F[434,x] = F[179,x]*F[435,x]
F[435,x] = F[423,x]+F[433,x]
F[436,x] = F[179,x]*F[428,x]
F[437,x] = F[179,x]*F[438,x]
F[438,x] = F[415,x]+F[433,x]
F[439,x] = F[179,x]*F[440,x]
F[440,x] = F[441,x]+F[449,x]
F[441,x] = F[411,x]+F[442,x]
F[442,x] = F[443,x]
F[443,x] = F[179,x]*F[444,x]
F[444,x] = F[445,x]+F[448,x]
F[445,x] = F[411,x]+F[446,x]
F[446,x] = F[447,x]
F[447,x] = F[179,x]*F[445,x]
F[448,x] = F[442,x]
F[449,x] = F[419,x]+F[450,x]
F[450,x] = 2*F[23,x]+F[451,x]+F[455,x]
F[451,x] = F[179,x]*F[452,x]
F[452,x] = F[453,x]+F[454,x]
F[453,x] = F[442,x]
F[454,x] = F[450,x]
F[455,x] = F[179,x]*F[456,x]
F[456,x] = F[457,x]+F[464,x]
F[457,x] = F[419,x]+F[458,x]
F[458,x] = 2*F[23,x]+F[459,x]+F[463,x]
F[459,x] = F[179,x]*F[460,x]
F[460,x] = F[461,x]+F[462,x]
F[461,x] = F[446,x]
F[462,x] = F[458,x]
F[463,x] = F[179,x]*F[457,x]
F[464,x] = F[450,x]
F[465,x] = -F[490,x]+F[466,x]
F[466,x] = -F[489,x]+F[467,x]
F[467,x] = 1/F[179,x]*F[468,x]
F[468,x] = F[469,x]
F[469,x] = -F[470,x]+F[5,x]
F[470,x] = F[471,x]
F[471,x] = F[179,x]*F[472,x]
F[472,x] = F[353,x]+F[473,x]
F[473,x] = F[470,x]+F[474,x]
F[474,x] = F[23,x]+F[475,x]+F[479,x]
F[475,x] = F[179,x]*F[476,x]
F[476,x] = F[477,x]+F[478,x]
F[477,x] = F[354,x]
F[478,x] = F[474,x]
F[479,x] = F[179,x]*F[480,x]
F[480,x] = F[481,x]+F[488,x]
F[481,x] = F[470,x]+F[482,x]
F[482,x] = F[23,x]+F[483,x]+F[487,x]
F[483,x] = F[179,x]*F[484,x]
F[484,x] = F[485,x]+F[486,x]
F[485,x] = F[332,x]
F[486,x] = F[482,x]
F[487,x] = F[179,x]*F[481,x]
F[488,x] = F[474,x]
F[489,x] = F[161,x,1]
F[490,x] = F[2,x]+F[469,x]
F[491,x] = F[492,x]
F[492,x] = F[179,x]*F[331,x]*F[493,x]
F[493,x] = F[396,x,1]
F[494,x,k[0]] = F[495,x,k[0]]
F[495,x,k[0]] = F[14,x,k[0]]*F[233,x,k[0]]*F[496,x,k[0]]
F[496,x,k[0]] = F[497,x,k[0]]+F[61,x,k[0]]
F[497,x,k[0]] = F[1,x]+F[57,x,k[0]]
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_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{179}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y\right) = F_{148}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{143}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{24}\! \left(x , y\right)+F_{28}\! \left(x , y\right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{35}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{31}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = 0
F_{45}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{45}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{61}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{65}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{69}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)+F_{84}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{79}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{72}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{85}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{93}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{14}\! \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_{89}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{92}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{85}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{114}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{106}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{105}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{109}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{110}\! \left(x , y\right)+F_{113}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{120}\! \left(x , y\right)+F_{139}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{119}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{34}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{92}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{126}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{23}\! \left(x \right)+F_{90}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{113}\! \left(x , y\right)+F_{125}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{125}\! \left(x , y\right) = 0
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{129}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{120}\! \left(x , y\right)+F_{128}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{128}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{131}\! \left(x , y\right)+F_{132}\! \left(x , y\right)+F_{138}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{130}\! \left(x , y\right) = 0
F_{131}\! \left(x , y\right) = 0
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{136}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = 3 F_{23}\! \left(x \right)+F_{132}\! \left(x , y\right)+F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{140}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)+F_{142}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right)+F_{494}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{2}\! \left(x \right)
F_{145}\! \left(x , y\right) = F_{146}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{147}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{148}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right) F_{179}\! \left(x \right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{152}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right)+F_{401}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = -\frac{-F_{155}\! \left(x , y\right) y +F_{155}\! \left(x , 1\right)}{-1+y}
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{145}\! \left(x , y\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_{179}\! \left(x \right)
F_{160}\! \left(x , y\right) = -\frac{y \left(F_{161}\! \left(x , 1\right)-F_{161}\! \left(x , y\right)\right)}{-1+y}
F_{161}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{162}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right) F_{179}\! \left(x \right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{16}\! \left(x , y\right) F_{167}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{167}\! \left(x \right) = F_{168}\! \left(x , 1\right)
F_{169}\! \left(x , y\right) = F_{168}\! \left(x , y\right) F_{332}\! \left(x \right) F_{334}\! \left(x \right)
F_{170}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{397}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{170}\! \left(x , y\right) F_{179}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{335}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{228}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x \right)+F_{187}\! \left(x , y\right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right) F_{179}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{180}\! \left(x \right)
F_{178}\! \left(x \right) = F_{1}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = x
F_{180}\! \left(x \right) = F_{175}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{186}\! \left(x \right)+F_{23}\! \left(x \right)
F_{182}\! \left(x \right) = F_{179}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{185}\! \left(x \right)
F_{184}\! \left(x \right) = F_{179}\! \left(x \right)
F_{185}\! \left(x \right) = F_{181}\! \left(x \right)
F_{186}\! \left(x \right) = F_{175}\! \left(x \right) F_{179}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)+F_{217}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{188}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{189}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{193}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{179}\! \left(x \right)+F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{192}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{179}\! \left(x \right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{188}\! \left(x , y\right)+F_{195}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{195}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{179}\! \left(x \right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{198}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{207}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{199}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{200}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)+F_{203}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{202}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = y F_{191}\! \left(x , y\right)
F_{203}\! \left(x , y\right) = F_{204}\! \left(x , y\right)+F_{205}\! \left(x , y\right)
F_{204}\! \left(x , y\right) = y F_{194}\! \left(x , y\right)
F_{205}\! \left(x , y\right) = F_{206}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{198}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{208}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{209}\! \left(x , y\right)+F_{210}\! \left(x , y\right)
F_{209}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{204}\! \left(x , y\right)
F_{210}\! \left(x , y\right) = F_{198}\! \left(x , y\right)+F_{211}\! \left(x , y\right)
F_{211}\! \left(x , y\right) = F_{206}\! \left(x , y\right)+F_{212}\! \left(x , y\right)+F_{213}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{212}\! \left(x , y\right) = 0
F_{213}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{214}\! \left(x , y\right)
F_{214}\! \left(x , y\right) = F_{215}\! \left(x , y\right)+F_{216}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{204}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{211}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{218}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{219}\! \left(x , y\right)+F_{220}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{194}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{221}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right)+F_{223}\! \left(x , y\right)+F_{227}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{222}\! \left(x , y\right) = 0
F_{223}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right)+F_{226}\! \left(x , y\right)
F_{225}\! \left(x , y\right) = F_{194}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{221}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{187}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{229}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{230}\! \left(x , y\right) F_{331}\! \left(x \right) F_{334}\! \left(x \right)
F_{231}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{16}\! \left(x , y\right) F_{230}\! \left(x , y\right) F_{63}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{144}\! \left(x , y\right)+F_{232}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{234}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{235}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{235}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right)+F_{242}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{0}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{179}\! \left(x \right) F_{7}\! \left(x \right)
F_{242}\! \left(x , y\right) = F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{244}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{245}\! \left(x , y\right)+F_{246}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{151}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{153}\! \left(x , y\right) F_{247}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{248}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{249}\! \left(x , y\right)+F_{282}\! \left(x , y\right)
F_{249}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{250}\! \left(x , y\right)
F_{250}\! \left(x , y\right) = F_{251}\! \left(x , y\right)+F_{265}\! \left(x , y\right)
F_{251}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{252}\! \left(x , y\right)
F_{252}\! \left(x , y\right) = F_{253}\! \left(x , y\right)
F_{253}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{254}\! \left(x , y\right)
F_{254}\! \left(x , y\right) = F_{255}\! \left(x , y\right)+F_{258}\! \left(x , y\right)
F_{255}\! \left(x , y\right) = F_{256}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{256}\! \left(x , y\right) = F_{257}\! \left(x , y\right)
F_{257}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{258}\! \left(x , y\right) = F_{252}\! \left(x , y\right)+F_{259}\! \left(x , y\right)
F_{259}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{260}\! \left(x , y\right)+F_{264}\! \left(x , y\right)
F_{260}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{261}\! \left(x , y\right)
F_{261}\! \left(x , y\right) = F_{262}\! \left(x , y\right)+F_{263}\! \left(x , y\right)
F_{262}\! \left(x , y\right) = F_{256}\! \left(x , y\right)
F_{263}\! \left(x , y\right) = F_{259}\! \left(x , y\right)
F_{264}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{252}\! \left(x , y\right)
F_{265}\! \left(x , y\right) = F_{252}\! \left(x , y\right)+F_{266}\! \left(x , y\right)
F_{266}\! \left(x , y\right) = F_{267}\! \left(x , y\right)
F_{267}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{268}\! \left(x , y\right)
F_{268}\! \left(x , y\right) = F_{269}\! \left(x , y\right)+F_{275}\! \left(x , y\right)
F_{269}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{273}\! \left(x , y\right)
F_{270}\! \left(x , y\right) = F_{271}\! \left(x , y\right)
F_{271}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{272}\! \left(x , y\right)
F_{272}\! \left(x , y\right) = F_{270}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{273}\! \left(x , y\right) = F_{274}\! \left(x , y\right)
F_{274}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{270}\! \left(x , y\right)
F_{275}\! \left(x , y\right) = F_{266}\! \left(x , y\right)+F_{276}\! \left(x , y\right)
F_{276}\! \left(x , y\right) = 3 F_{23}\! \left(x \right)+F_{277}\! \left(x , y\right)+F_{281}\! \left(x , y\right)
F_{277}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{278}\! \left(x , y\right)
F_{278}\! \left(x , y\right) = F_{279}\! \left(x , y\right)+F_{280}\! \left(x , y\right)
F_{279}\! \left(x , y\right) = F_{273}\! \left(x , y\right)
F_{280}\! \left(x , y\right) = F_{276}\! \left(x , y\right)
F_{281}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{266}\! \left(x , y\right)
F_{282}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{283}\! \left(x , y\right)
F_{283}\! \left(x , y\right) = F_{284}\! \left(x , y\right)+F_{303}\! \left(x , y\right)
F_{284}\! \left(x , y\right) = F_{285}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{285}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{286}\! \left(x , y\right)+F_{290}\! \left(x , y\right)
F_{286}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{287}\! \left(x , y\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 , y\right)+F_{256}\! \left(x , y\right)
F_{289}\! \left(x , y\right) = F_{256}\! \left(x , y\right)+F_{273}\! \left(x , y\right)
F_{290}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{291}\! \left(x , y\right)
F_{291}\! \left(x , y\right) = F_{292}\! \left(x , y\right)+F_{295}\! \left(x , y\right)
F_{292}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{293}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{286}\! \left(x , y\right)+F_{294}\! \left(x , y\right)
F_{294}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{295}\! \left(x , y\right) = F_{285}\! \left(x , y\right)+F_{296}\! \left(x , y\right)
F_{296}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{297}\! \left(x , y\right)+F_{298}\! \left(x , y\right)+F_{302}\! \left(x , y\right)
F_{297}\! \left(x , y\right) = 0
F_{298}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{299}\! \left(x , y\right)
F_{299}\! \left(x , y\right) = F_{300}\! \left(x , y\right)+F_{301}\! \left(x , y\right)
F_{300}\! \left(x , y\right) = F_{293}\! \left(x , y\right)
F_{301}\! \left(x , y\right) = F_{296}\! \left(x , y\right)
F_{302}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{285}\! \left(x , y\right)
F_{303}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{304}\! \left(x , y\right)
F_{304}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{305}\! \left(x , y\right)+F_{311}\! \left(x , y\right)+F_{320}\! \left(x , y\right)
F_{305}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{306}\! \left(x , y\right)
F_{306}\! \left(x , y\right) = F_{307}\! \left(x , y\right)+F_{309}\! \left(x , y\right)
F_{307}\! \left(x , y\right) = F_{202}\! \left(x , y\right)+F_{308}\! \left(x , y\right)
F_{308}\! \left(x , y\right) = F_{264}\! \left(x , y\right)
F_{309}\! \left(x , y\right) = F_{308}\! \left(x , y\right)+F_{310}\! \left(x , y\right)
F_{310}\! \left(x , y\right) = F_{281}\! \left(x , y\right)
F_{311}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{312}\! \left(x , y\right)
F_{312}\! \left(x , y\right) = F_{313}\! \left(x , y\right)+F_{315}\! \left(x , y\right)
F_{313}\! \left(x , y\right) = F_{293}\! \left(x , y\right)+F_{314}\! \left(x , y\right)
F_{314}\! \left(x , y\right) = F_{302}\! \left(x , y\right)
F_{315}\! \left(x , y\right) = F_{316}\! \left(x , y\right)+F_{318}\! \left(x , y\right)
F_{316}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{305}\! \left(x , y\right)+F_{311}\! \left(x , y\right)+F_{317}\! \left(x , y\right)
F_{317}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{248}\! \left(x , y\right)
F_{318}\! \left(x , y\right) = F_{319}\! \left(x , y\right)
F_{319}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{304}\! \left(x , y\right)
F_{320}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{321}\! \left(x , y\right)
F_{321}\! \left(x , y\right) = F_{322}\! \left(x , y\right)+F_{323}\! \left(x , y\right)
F_{322}\! \left(x , y\right) = F_{248}\! \left(x , y\right)+F_{316}\! \left(x , y\right)
F_{323}\! \left(x , y\right) = F_{304}\! \left(x , y\right)+F_{324}\! \left(x , y\right)
F_{324}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{319}\! \left(x , y\right)+F_{325}\! \left(x , y\right)+F_{326}\! \left(x , y\right)+F_{327}\! \left(x , y\right)
F_{325}\! \left(x , y\right) = 0
F_{326}\! \left(x , y\right) = 0
F_{327}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{328}\! \left(x , y\right)
F_{328}\! \left(x , y\right) = F_{329}\! \left(x , y\right)+F_{330}\! \left(x , y\right)
F_{329}\! \left(x , y\right) = F_{316}\! \left(x , y\right)
F_{330}\! \left(x , y\right) = F_{324}\! \left(x , y\right)
F_{331}\! \left(x \right) = F_{1}\! \left(x \right)+F_{332}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{179}\! \left(x \right) F_{331}\! \left(x \right)
F_{334}\! \left(x \right) = F_{1}\! \left(x \right)+F_{175}\! \left(x \right)
F_{335}\! \left(x , y\right) = F_{336}\! \left(x , y\right)
F_{336}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{337}\! \left(x , y\right)
F_{337}\! \left(x , y\right) = -\frac{-F_{338}\! \left(x , y\right) y +F_{338}\! \left(x , 1\right)}{-1+y}
F_{338}\! \left(x , y\right) = F_{339}\! \left(x , y\right)
F_{339}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{340}\! \left(x , y\right)
F_{340}\! \left(x , y\right) = F_{341}\! \left(x , y\right)+F_{345}\! \left(x , y\right)
F_{341}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{392}\! \left(x , y\right)
F_{343}\! \left(x , y\right) = F_{342}\! \left(x , y\right)+F_{345}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{343}\! \left(x , y\right)
F_{344}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{345}\! \left(x , y\right) = F_{346}\! \left(x , y\right)
F_{347}\! \left(x , y\right) = F_{346}\! \left(x , y\right)+F_{369}\! \left(x , y\right)
F_{348}\! \left(x , y\right) = F_{347}\! \left(x , y\right)+F_{379}\! \left(x , y\right)
F_{348}\! \left(x , y\right) = F_{349}\! \left(x , y\right)+F_{361}\! \left(x , y\right)
F_{349}\! \left(x , y\right) = F_{350}\! \left(x , y\right)+F_{358}\! \left(x , y\right)
F_{350}\! \left(x , y\right) = F_{351}\! \left(x , y\right) F_{353}\! \left(x \right)
F_{351}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{352}\! \left(x , y\right)
F_{352}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{157}\! \left(x , y\right)
F_{353}\! \left(x \right) = F_{1}\! \left(x \right)+F_{354}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{179}\! \left(x \right) F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{331}\! \left(x \right)+F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{354}\! \left(x \right)
F_{358}\! \left(x , y\right) = F_{359}\! \left(x , y\right)
F_{359}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{360}\! \left(x , y\right)
F_{360}\! \left(x , y\right) = -\frac{-F_{348}\! \left(x , y\right) y +F_{348}\! \left(x , 1\right)}{-1+y}
F_{361}\! \left(x , y\right) = F_{362}\! \left(x , y\right)
F_{362}\! \left(x , y\right) = F_{331}\! \left(x \right) F_{363}\! \left(x , y\right)
F_{363}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{331}\! \left(x \right)+F_{366}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{179}\! \left(x \right) F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x , 1\right)
F_{370}\! \left(x , y\right) = F_{338}\! \left(x , y\right)+F_{369}\! \left(x , y\right)
F_{370}\! \left(x , y\right) = F_{371}\! \left(x , y\right)+F_{375}\! \left(x , y\right)
F_{371}\! \left(x , y\right) = F_{351}\! \left(x , y\right)+F_{372}\! \left(x , y\right)
F_{372}\! \left(x , y\right) = F_{373}\! \left(x , y\right)
F_{373}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{374}\! \left(x , y\right)
F_{374}\! \left(x , y\right) = -\frac{-F_{370}\! \left(x , y\right) y +F_{370}\! \left(x , 1\right)}{-1+y}
F_{375}\! \left(x , y\right) = F_{376}\! \left(x , y\right)
F_{376}\! \left(x , y\right) = F_{363}\! \left(x , y\right)+F_{377}\! \left(x , y\right)
F_{377}\! \left(x , y\right) = F_{378}\! \left(x , y\right)
F_{338}\! \left(x , y\right) = F_{172}\! \left(x , y\right)+F_{378}\! \left(x , y\right)
F_{379}\! \left(x , y\right) = F_{380}\! \left(x , y\right)+F_{390}\! \left(x , y\right)
F_{380}\! \left(x , y\right) = F_{381}\! \left(x , y\right)
F_{381}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{382}\! \left(x , y\right)
F_{382}\! \left(x , y\right) = F_{383}\! \left(x , y\right)+F_{385}\! \left(x , y\right)
F_{383}\! \left(x , y\right) = F_{351}\! \left(x , y\right) F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{332}\! \left(x \right)+F_{353}\! \left(x \right)
F_{385}\! \left(x , y\right) = F_{386}\! \left(x , y\right)
F_{386}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{387}\! \left(x , y\right)
F_{387}\! \left(x , y\right) = -\frac{-F_{388}\! \left(x , y\right) y +F_{388}\! \left(x , 1\right)}{-1+y}
F_{389}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{388}\! \left(x , y\right)
F_{389}\! \left(x , y\right) = F_{379}\! \left(x , y\right)
F_{390}\! \left(x , y\right) = F_{391}\! \left(x , y\right)
F_{391}\! \left(x , y\right) = F_{332}\! \left(x \right) F_{363}\! \left(x , y\right)
F_{392}\! \left(x , y\right) = F_{393}\! \left(x , y\right)
F_{393}\! \left(x , y\right) = F_{394}\! \left(x , y\right) F_{63}\! \left(x , y\right)
F_{394}\! \left(x , y\right) = F_{395}\! \left(x , y\right)
F_{395}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{396}\! \left(x , y\right)
F_{396}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{167}\! \left(x \right)
F_{398}\! \left(x , y\right) = F_{397}\! \left(x , y\right)+F_{400}\! \left(x , y\right)
F_{399}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{398}\! \left(x , y\right)
F_{399}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{400}\! \left(x , y\right) = F_{346}\! \left(x , y\right)
F_{401}\! \left(x , y\right) = F_{402}\! \left(x , y\right)
F_{402}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{403}\! \left(x , y\right)
F_{403}\! \left(x , y\right) = F_{404}\! \left(x , y\right)+F_{491}\! \left(x \right)
F_{404}\! \left(x , y\right) = -\frac{-y F_{405}\! \left(x , y\right)+F_{405}\! \left(x , 1\right)}{-1+y}
F_{406}\! \left(x , y\right) = F_{405}\! \left(x , y\right)+F_{491}\! \left(x \right)
F_{407}\! \left(x , y\right) = F_{179}\! \left(x \right) F_{406}\! \left(x , y\right)
F_{407}\! \left(x , y\right) = F_{408}\! \left(x , y\right)
F_{408}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{409}\! \left(x \right)
F_{409}\! \left(x \right) = F_{410}\! \left(x \right)+F_{465}\! \left(x \right)
F_{410}\! \left(x \right) = F_{411}\! \left(x \right)+F_{419}\! \left(x \right)
F_{411}\! \left(x \right) = F_{412}\! \left(x \right)
F_{412}\! \left(x \right) = F_{179}\! \left(x \right) F_{413}\! \left(x \right)
F_{413}\! \left(x \right) = F_{178}\! \left(x \right)+F_{414}\! \left(x \right)
F_{414}\! \left(x \right) = F_{332}\! \left(x \right)+F_{415}\! \left(x \right)
F_{415}\! \left(x \right) = F_{23}\! \left(x \right)+F_{416}\! \left(x \right)+F_{418}\! \left(x \right)
F_{416}\! \left(x \right) = F_{179}\! \left(x \right) F_{417}\! \left(x \right)
F_{417}\! \left(x \right) = F_{179}\! \left(x \right)+F_{415}\! \left(x \right)
F_{418}\! \left(x \right) = F_{179}\! \left(x \right) F_{332}\! \left(x \right)
F_{419}\! \left(x \right) = F_{23}\! \left(x \right)+F_{420}\! \left(x \right)+F_{439}\! \left(x \right)
F_{420}\! \left(x \right) = F_{179}\! \left(x \right) F_{421}\! \left(x \right)
F_{421}\! \left(x \right) = F_{422}\! \left(x \right)+F_{427}\! \left(x \right)
F_{422}\! \left(x \right) = F_{332}\! \left(x \right)+F_{423}\! \left(x \right)
F_{423}\! \left(x \right) = F_{23}\! \left(x \right)+F_{424}\! \left(x \right)+F_{425}\! \left(x \right)
F_{424}\! \left(x \right) = F_{179}\! \left(x \right) F_{332}\! \left(x \right)
F_{425}\! \left(x \right) = F_{179}\! \left(x \right) F_{426}\! \left(x \right)
F_{426}\! \left(x \right) = F_{179}\! \left(x \right)+F_{423}\! \left(x \right)
F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{433}\! \left(x \right)
F_{428}\! \left(x \right) = F_{23}\! \left(x \right)+F_{429}\! \left(x \right)+F_{431}\! \left(x \right)
F_{429}\! \left(x \right) = F_{179}\! \left(x \right) F_{430}\! \left(x \right)
F_{430}\! \left(x \right) = F_{332}\! \left(x \right)+F_{428}\! \left(x \right)
F_{431}\! \left(x \right) = F_{179}\! \left(x \right) F_{432}\! \left(x \right)
F_{432}\! \left(x \right) = F_{332}\! \left(x \right)+F_{428}\! \left(x \right)
F_{433}\! \left(x \right) = F_{23}\! \left(x \right)+F_{434}\! \left(x \right)+F_{436}\! \left(x \right)+F_{437}\! \left(x \right)
F_{434}\! \left(x \right) = F_{179}\! \left(x \right) F_{435}\! \left(x \right)
F_{435}\! \left(x \right) = F_{423}\! \left(x \right)+F_{433}\! \left(x \right)
F_{436}\! \left(x \right) = F_{179}\! \left(x \right) F_{428}\! \left(x \right)
F_{437}\! \left(x \right) = F_{179}\! \left(x \right) F_{438}\! \left(x \right)
F_{438}\! \left(x \right) = F_{415}\! \left(x \right)+F_{433}\! \left(x \right)
F_{439}\! \left(x \right) = F_{179}\! \left(x \right) F_{440}\! \left(x \right)
F_{440}\! \left(x \right) = F_{441}\! \left(x \right)+F_{449}\! \left(x \right)
F_{441}\! \left(x \right) = F_{411}\! \left(x \right)+F_{442}\! \left(x \right)
F_{442}\! \left(x \right) = F_{443}\! \left(x \right)
F_{443}\! \left(x \right) = F_{179}\! \left(x \right) F_{444}\! \left(x \right)
F_{444}\! \left(x \right) = F_{445}\! \left(x \right)+F_{448}\! \left(x \right)
F_{445}\! \left(x \right) = F_{411}\! \left(x \right)+F_{446}\! \left(x \right)
F_{446}\! \left(x \right) = F_{447}\! \left(x \right)
F_{447}\! \left(x \right) = F_{179}\! \left(x \right) F_{445}\! \left(x \right)
F_{448}\! \left(x \right) = F_{442}\! \left(x \right)
F_{449}\! \left(x \right) = F_{419}\! \left(x \right)+F_{450}\! \left(x \right)
F_{450}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{451}\! \left(x \right)+F_{455}\! \left(x \right)
F_{451}\! \left(x \right) = F_{179}\! \left(x \right) F_{452}\! \left(x \right)
F_{452}\! \left(x \right) = F_{453}\! \left(x \right)+F_{454}\! \left(x \right)
F_{453}\! \left(x \right) = F_{442}\! \left(x \right)
F_{454}\! \left(x \right) = F_{450}\! \left(x \right)
F_{455}\! \left(x \right) = F_{179}\! \left(x \right) F_{456}\! \left(x \right)
F_{456}\! \left(x \right) = F_{457}\! \left(x \right)+F_{464}\! \left(x \right)
F_{457}\! \left(x \right) = F_{419}\! \left(x \right)+F_{458}\! \left(x \right)
F_{458}\! \left(x \right) = 2 F_{23}\! \left(x \right)+F_{459}\! \left(x \right)+F_{463}\! \left(x \right)
F_{459}\! \left(x \right) = F_{179}\! \left(x \right) F_{460}\! \left(x \right)
F_{460}\! \left(x \right) = F_{461}\! \left(x \right)+F_{462}\! \left(x \right)
F_{461}\! \left(x \right) = F_{446}\! \left(x \right)
F_{462}\! \left(x \right) = F_{458}\! \left(x \right)
F_{463}\! \left(x \right) = F_{179}\! \left(x \right) F_{457}\! \left(x \right)
F_{464}\! \left(x \right) = F_{450}\! \left(x \right)
F_{465}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{466}\! \left(x \right)
F_{466}\! \left(x \right) = -F_{489}\! \left(x \right)+F_{467}\! \left(x \right)
F_{467}\! \left(x \right) = \frac{F_{468}\! \left(x \right)}{F_{179}\! \left(x \right)}
F_{468}\! \left(x \right) = F_{469}\! \left(x \right)
F_{469}\! \left(x \right) = -F_{470}\! \left(x \right)+F_{5}\! \left(x \right)
F_{470}\! \left(x \right) = F_{471}\! \left(x \right)
F_{471}\! \left(x \right) = F_{179}\! \left(x \right) F_{472}\! \left(x \right)
F_{472}\! \left(x \right) = F_{353}\! \left(x \right)+F_{473}\! \left(x \right)
F_{473}\! \left(x \right) = F_{470}\! \left(x \right)+F_{474}\! \left(x \right)
F_{474}\! \left(x \right) = F_{23}\! \left(x \right)+F_{475}\! \left(x \right)+F_{479}\! \left(x \right)
F_{475}\! \left(x \right) = F_{179}\! \left(x \right) F_{476}\! \left(x \right)
F_{476}\! \left(x \right) = F_{477}\! \left(x \right)+F_{478}\! \left(x \right)
F_{477}\! \left(x \right) = F_{354}\! \left(x \right)
F_{478}\! \left(x \right) = F_{474}\! \left(x \right)
F_{479}\! \left(x \right) = F_{179}\! \left(x \right) F_{480}\! \left(x \right)
F_{480}\! \left(x \right) = F_{481}\! \left(x \right)+F_{488}\! \left(x \right)
F_{481}\! \left(x \right) = F_{470}\! \left(x \right)+F_{482}\! \left(x \right)
F_{482}\! \left(x \right) = F_{23}\! \left(x \right)+F_{483}\! \left(x \right)+F_{487}\! \left(x \right)
F_{483}\! \left(x \right) = F_{179}\! \left(x \right) F_{484}\! \left(x \right)
F_{484}\! \left(x \right) = F_{485}\! \left(x \right)+F_{486}\! \left(x \right)
F_{485}\! \left(x \right) = F_{332}\! \left(x \right)
F_{486}\! \left(x \right) = F_{482}\! \left(x \right)
F_{487}\! \left(x \right) = F_{179}\! \left(x \right) F_{481}\! \left(x \right)
F_{488}\! \left(x \right) = F_{474}\! \left(x \right)
F_{489}\! \left(x \right) = F_{161}\! \left(x , 1\right)
F_{490}\! \left(x \right) = F_{2}\! \left(x \right)+F_{469}\! \left(x \right)
F_{491}\! \left(x \right) = F_{492}\! \left(x \right)
F_{492}\! \left(x \right) = F_{179}\! \left(x \right) F_{331}\! \left(x \right) F_{493}\! \left(x \right)
F_{493}\! \left(x \right) = F_{396}\! \left(x , 1\right)
F_{494}\! \left(x , y\right) = F_{495}\! \left(x , y\right)
F_{495}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{233}\! \left(x , y\right) F_{496}\! \left(x , y\right)
F_{496}\! \left(x , y\right) = F_{497}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{497}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{57}\! \left(x , y\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_179(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_179(x)*F_7(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_148(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_143(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0) + F_56(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_16(x, k_0) + F_29(x, k_0))
Eq(F_16(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_14(x, k_0)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_21(x, k_0))
Eq(F_20(x, k_0), F_1(x) + F_14(x, k_0))
Eq(F_21(x, k_0), F_17(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x) + F_24(x, k_0) + F_28(x, k_0))
Eq(F_23(x), 0)
Eq(F_24(x, k_0), F_14(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_27(x, k_0))
Eq(F_26(x, k_0), F_14(x, k_0))
Eq(F_27(x, k_0), F_22(x, k_0))
Eq(F_28(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_29(x, k_0), F_12(x, k_0) + F_30(x, k_0))
Eq(F_30(x, k_0), F_23(x) + F_31(x, k_0) + F_52(x, k_0))
Eq(F_31(x, k_0), F_14(x, k_0)*F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0) + F_40(x, k_0))
Eq(F_33(x, k_0), F_14(x, k_0) + F_34(x, k_0))
Eq(F_34(x, k_0), F_23(x) + F_35(x, k_0) + F_39(x, k_0))
Eq(F_35(x, k_0), F_14(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0) + F_38(x, k_0))
Eq(F_37(x, k_0), F_14(x, k_0))
Eq(F_38(x, k_0), F_34(x, k_0))
Eq(F_39(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_43(x, k_0))
Eq(F_41(x, k_0), F_23(x) + F_31(x, k_0) + F_42(x, k_0))
Eq(F_42(x, k_0), F_12(x, k_0)*F_14(x, k_0))
Eq(F_43(x, k_0), F_23(x) + F_44(x, k_0) + F_45(x, k_0) + F_51(x, k_0))
Eq(F_44(x, k_0), 0)
Eq(F_45(x, k_0), F_14(x, k_0)*F_46(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_49(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_42(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), 2*F_23(x) + F_45(x, k_0) + F_51(x, k_0))
Eq(F_51(x, k_0), F_14(x, k_0)*F_30(x, k_0))
Eq(F_52(x, k_0), F_14(x, k_0)*F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0) + F_55(x, k_0))
Eq(F_54(x, k_0), F_12(x, k_0) + F_48(x, k_0))
Eq(F_55(x, k_0), F_30(x, k_0) + F_50(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0) + F_68(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_14(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_20(x, k_0) + F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0) + F_64(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_14(x, k_0)*F_63(x, k_0))
Eq(F_63(x, k_0), F_1(x) + F_61(x, k_0))
Eq(F_64(x, k_0), F_23(x) + F_65(x, k_0) + F_67(x, k_0))
Eq(F_65(x, k_0), F_14(x, k_0)*F_66(x, k_0))
Eq(F_66(x, k_0), F_14(x, k_0) + F_64(x, k_0))
Eq(F_67(x, k_0), F_14(x, k_0)*F_61(x, k_0))
Eq(F_68(x, k_0), F_23(x) + F_69(x, k_0) + F_98(x, k_0))
Eq(F_69(x, k_0), F_14(x, k_0)*F_70(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0) + F_84(x, k_0))
Eq(F_71(x, k_0), F_17(x, k_0) + F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0))
Eq(F_73(x, k_0), F_14(x, k_0)*F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0) + F_77(x, k_0))
Eq(F_75(x, k_0), F_61(x, k_0) + F_76(x, k_0))
Eq(F_76(x, k_0), F_67(x, k_0))
Eq(F_77(x, k_0), F_72(x, k_0) + F_78(x, k_0))
Eq(F_78(x, k_0), 2*F_23(x) + F_79(x, k_0) + F_83(x, k_0))
Eq(F_79(x, k_0), F_14(x, k_0)*F_80(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0) + F_82(x, k_0))
Eq(F_81(x, k_0), F_76(x, k_0))
Eq(F_82(x, k_0), F_78(x, k_0))
Eq(F_83(x, k_0), F_14(x, k_0)*F_72(x, k_0))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0))
Eq(F_86(x, k_0), F_14(x, k_0)*F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0) + F_91(x, k_0))
Eq(F_88(x, k_0), F_57(x, k_0) + F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), F_14(x, k_0)*F_57(x, k_0))
Eq(F_91(x, k_0), F_85(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), 2*F_23(x) + F_93(x, k_0) + F_97(x, k_0))
Eq(F_93(x, k_0), F_14(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_89(x, k_0))
Eq(F_96(x, k_0), F_92(x, k_0))
Eq(F_97(x, k_0), F_14(x, k_0)*F_85(x, k_0))
Eq(F_98(x, k_0), F_14(x, k_0)*F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_114(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0) + F_57(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0) + F_106(x, k_0) + F_23(x))
Eq(F_102(x, k_0), F_103(x, k_0)*F_14(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0) + F_105(x, k_0))
Eq(F_104(x, k_0), F_14(x, k_0) + F_76(x, k_0))
Eq(F_105(x, k_0), F_89(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_14(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0) + F_88(x, k_0))
Eq(F_108(x, k_0), F_101(x, k_0) + F_109(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0) + F_113(x, k_0) + 2*F_23(x))
Eq(F_110(x, k_0), F_111(x, k_0)*F_14(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_95(x, k_0))
Eq(F_112(x, k_0), F_109(x, k_0))
Eq(F_113(x, k_0), F_101(x, k_0)*F_14(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0) + F_68(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_120(x, k_0) + F_139(x, k_0) + F_23(x))
Eq(F_116(x, k_0), F_117(x, k_0)*F_14(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_119(x, k_0))
Eq(F_118(x, k_0), F_34(x, k_0) + F_78(x, k_0))
Eq(F_119(x, k_0), F_92(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0)*F_14(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0) + F_126(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0) + F_124(x, k_0))
Eq(F_123(x, k_0), F_102(x, k_0) + F_23(x) + F_90(x, k_0))
Eq(F_124(x, k_0), F_110(x, k_0) + F_113(x, k_0) + F_125(x, k_0) + F_23(x))
Eq(F_125(x, k_0), 0)
Eq(F_126(x, k_0), F_127(x, k_0) + F_129(x, k_0))
Eq(F_127(x, k_0), F_116(x, k_0) + F_120(x, k_0) + F_128(x, k_0) + F_23(x))
Eq(F_128(x, k_0), F_14(x, k_0)*F_68(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_131(x, k_0) + F_132(x, k_0) + F_138(x, k_0) + F_23(x))
Eq(F_130(x, k_0), 0)
Eq(F_131(x, k_0), 0)
Eq(F_132(x, k_0), F_133(x, k_0)*F_14(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0) + F_136(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0))
Eq(F_135(x, k_0), F_128(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0))
Eq(F_137(x, k_0), F_132(x, k_0) + F_138(x, k_0) + 3*F_23(x))
Eq(F_138(x, k_0), F_115(x, k_0)*F_14(x, k_0))
Eq(F_139(x, k_0), F_14(x, k_0)*F_140(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0) + F_142(x, k_0))
Eq(F_141(x, k_0), F_135(x, k_0) + F_68(x, k_0))
Eq(F_142(x, k_0), F_115(x, k_0) + F_137(x, k_0))
Eq(F_143(x, k_0), F_144(x, k_0) + F_494(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0) + F_2(x))
Eq(F_145(x, k_0), F_146(x, k_0))
Eq(F_146(x, k_0), F_14(x, k_0)*F_147(x, k_0))
Eq(F_147(x, k_0), F_143(x, k_0) + F_148(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0)*F_179(x))
Eq(F_150(x, k_0), F_151(x, k_0) + F_152(x, k_0))
Eq(F_151(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_152(x, k_0), F_153(x, k_0)*F_57(x, k_0))
Eq(F_153(x, k_0), F_154(x, k_0) + F_401(x, k_0))
Eq(F_154(x, k_0), (k_0*F_155(x, k_0) - F_155(x, 1))/(k_0 - 1))
Eq(F_155(x, k_0), F_156(x, k_0) + F_4(x))
Eq(F_156(x, k_0), F_157(x, k_0) + F_158(x, k_0))
Eq(F_157(x, k_0), F_12(x, k_0) + F_145(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_160(x, k_0)*F_179(x))
Eq(F_160(x, k_0), -F_161(x, 1) + (k_0*F_161(x, k_0) - F_161(x, 1))/(k_0 - 1))
Eq(F_161(x, k_0), F_156(x, k_0) + F_162(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0)*F_179(x))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_14(x, k_0)*F_16(x, k_0)*F_167(x)*F_63(x, k_0))
Eq(F_167(x), F_168(x, 1))
Eq(F_169(x, k_0), F_168(x, k_0)*F_332(x)*F_334(x))
Eq(F_170(x, k_0), F_169(x, k_0) + F_397(x, k_0))
Eq(F_171(x, k_0), F_170(x, k_0)*F_179(x))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0) + F_335(x, k_0))
Eq(F_173(x, k_0), F_174(x, k_0) + F_228(x, k_0))
Eq(F_174(x, k_0), F_175(x) + F_187(x, k_0))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_177(x)*F_179(x))
Eq(F_177(x), F_178(x) + F_180(x))
Eq(F_178(x), F_1(x) + F_179(x))
Eq(F_179(x), x)
Eq(F_180(x), F_175(x) + F_181(x))
Eq(F_181(x), F_182(x) + F_186(x) + F_23(x))
Eq(F_182(x), F_179(x)*F_183(x))
Eq(F_183(x), F_184(x) + F_185(x))
Eq(F_184(x), F_179(x))
Eq(F_185(x), F_181(x))
Eq(F_186(x), F_175(x)*F_179(x))
Eq(F_187(x, k_0), F_188(x, k_0) + F_217(x, k_0) + F_23(x))
Eq(F_188(x, k_0), F_14(x, k_0)*F_189(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0) + F_193(x, k_0))
Eq(F_190(x, k_0), F_179(x) + F_191(x, k_0))
Eq(F_191(x, k_0), F_192(x, k_0))
Eq(F_192(x, k_0), F_17(x, k_0)*F_179(x))
Eq(F_193(x, k_0), F_194(x, k_0) + F_196(x, k_0))
Eq(F_194(x, k_0), F_188(x, k_0) + F_195(x, k_0) + F_23(x))
Eq(F_195(x, k_0), F_12(x, k_0)*F_179(x))
Eq(F_196(x, k_0), F_197(x, k_0))
Eq(F_197(x, k_0), F_179(x)*F_198(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0) + F_207(x, k_0) + F_23(x))
Eq(F_199(x, k_0), F_14(x, k_0)*F_200(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0) + F_203(x, k_0))
Eq(F_201(x, k_0), F_14(x, k_0) + F_202(x, k_0))
Eq(F_202(x, k_0), k_0*F_191(x, k_0))
Eq(F_203(x, k_0), F_204(x, k_0) + F_205(x, k_0))
Eq(F_204(x, k_0), k_0*F_194(x, k_0))
Eq(F_205(x, k_0), F_206(x, k_0))
Eq(F_206(x, k_0), F_14(x, k_0)*F_198(x, k_0))
Eq(F_207(x, k_0), F_14(x, k_0)*F_208(x, k_0))
Eq(F_208(x, k_0), F_209(x, k_0) + F_210(x, k_0))
Eq(F_209(x, k_0), F_12(x, k_0) + F_204(x, k_0))
Eq(F_210(x, k_0), F_198(x, k_0) + F_211(x, k_0))
Eq(F_211(x, k_0), F_206(x, k_0) + F_212(x, k_0) + F_213(x, k_0) + F_23(x))
Eq(F_212(x, k_0), 0)
Eq(F_213(x, k_0), F_14(x, k_0)*F_214(x, k_0))
Eq(F_214(x, k_0), F_215(x, k_0) + F_216(x, k_0))
Eq(F_215(x, k_0), F_204(x, k_0))
Eq(F_216(x, k_0), F_211(x, k_0))
Eq(F_217(x, k_0), F_179(x)*F_218(x, k_0))
Eq(F_218(x, k_0), F_219(x, k_0) + F_220(x, k_0))
Eq(F_219(x, k_0), F_12(x, k_0) + F_194(x, k_0))
Eq(F_220(x, k_0), F_187(x, k_0) + F_221(x, k_0))
Eq(F_221(x, k_0), F_222(x, k_0) + F_223(x, k_0) + F_227(x, k_0) + F_23(x))
Eq(F_222(x, k_0), 0)
Eq(F_223(x, k_0), F_179(x)*F_224(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0) + F_226(x, k_0))
Eq(F_225(x, k_0), F_194(x, k_0))
Eq(F_226(x, k_0), F_221(x, k_0))
Eq(F_227(x, k_0), F_179(x)*F_187(x, k_0))
Eq(F_228(x, k_0), F_229(x, k_0))
Eq(F_229(x, k_0), F_179(x)*F_230(x, k_0)*F_331(x)*F_334(x))
Eq(F_231(x, k_0), F_14(x, k_0)*F_16(x, k_0)*F_230(x, k_0)*F_63(x, k_0))
Eq(F_231(x, k_0), F_232(x, k_0))
Eq(F_233(x, k_0), F_144(x, k_0) + F_232(x, k_0))
Eq(F_233(x, k_0), F_234(x, k_0))
Eq(F_234(x, k_0), F_179(x)*F_235(x, k_0))
Eq(F_236(x, k_0), F_14(x, k_0)*F_235(x, k_0))
Eq(F_236(x, k_0), F_237(x, k_0))
Eq(F_237(x, k_0), F_238(x, k_0) + F_242(x, k_0))
Eq(F_238(x, k_0), F_12(x, k_0)*F_239(x))
Eq(F_239(x), F_0(x) + F_240(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_179(x)*F_7(x))
Eq(F_242(x, k_0), F_243(x, k_0))
Eq(F_243(x, k_0), F_14(x, k_0)*F_244(x, k_0))
Eq(F_244(x, k_0), F_245(x, k_0) + F_246(x, k_0))
Eq(F_245(x, k_0), F_12(x, k_0)*F_151(x, k_0))
Eq(F_246(x, k_0), F_153(x, k_0)*F_247(x, k_0))
Eq(F_247(x, k_0), F_248(x, k_0) + F_57(x, k_0))
Eq(F_248(x, k_0), F_23(x) + F_249(x, k_0) + F_282(x, k_0))
Eq(F_249(x, k_0), F_14(x, k_0)*F_250(x, k_0))
Eq(F_250(x, k_0), F_251(x, k_0) + F_265(x, k_0))
Eq(F_251(x, k_0), F_17(x, k_0) + F_252(x, k_0))
Eq(F_252(x, k_0), F_253(x, k_0))
Eq(F_253(x, k_0), F_14(x, k_0)*F_254(x, k_0))
Eq(F_254(x, k_0), F_255(x, k_0) + F_258(x, k_0))
Eq(F_255(x, k_0), F_256(x, k_0) + F_61(x, k_0))
Eq(F_256(x, k_0), F_257(x, k_0))
Eq(F_257(x, k_0), F_14(x, k_0)*F_61(x, k_0))
Eq(F_258(x, k_0), F_252(x, k_0) + F_259(x, k_0))
Eq(F_259(x, k_0), 2*F_23(x) + F_260(x, k_0) + F_264(x, k_0))
Eq(F_260(x, k_0), F_14(x, k_0)*F_261(x, k_0))
Eq(F_261(x, k_0), F_262(x, k_0) + F_263(x, k_0))
Eq(F_262(x, k_0), F_256(x, k_0))
Eq(F_263(x, k_0), F_259(x, k_0))
Eq(F_264(x, k_0), F_14(x, k_0)*F_252(x, k_0))
Eq(F_265(x, k_0), F_252(x, k_0) + F_266(x, k_0))
Eq(F_266(x, k_0), F_267(x, k_0))
Eq(F_267(x, k_0), F_14(x, k_0)*F_268(x, k_0))
Eq(F_268(x, k_0), F_269(x, k_0) + F_275(x, k_0))
Eq(F_269(x, k_0), F_270(x, k_0) + F_273(x, k_0))
Eq(F_270(x, k_0), F_271(x, k_0))
Eq(F_271(x, k_0), F_14(x, k_0)*F_272(x, k_0))
Eq(F_272(x, k_0), F_270(x, k_0) + F_61(x, k_0))
Eq(F_273(x, k_0), F_274(x, k_0))
Eq(F_274(x, k_0), F_14(x, k_0)*F_270(x, k_0))
Eq(F_275(x, k_0), F_266(x, k_0) + F_276(x, k_0))
Eq(F_276(x, k_0), 3*F_23(x) + F_277(x, k_0) + F_281(x, k_0))
Eq(F_277(x, k_0), F_14(x, k_0)*F_278(x, k_0))
Eq(F_278(x, k_0), F_279(x, k_0) + F_280(x, k_0))
Eq(F_279(x, k_0), F_273(x, k_0))
Eq(F_280(x, k_0), F_276(x, k_0))
Eq(F_281(x, k_0), F_14(x, k_0)*F_266(x, k_0))
Eq(F_282(x, k_0), F_14(x, k_0)*F_283(x, k_0))
Eq(F_283(x, k_0), F_284(x, k_0) + F_303(x, k_0))
Eq(F_284(x, k_0), F_285(x, k_0) + F_57(x, k_0))
Eq(F_285(x, k_0), F_23(x) + F_286(x, k_0) + F_290(x, k_0))
Eq(F_286(x, k_0), F_14(x, k_0)*F_287(x, k_0))
Eq(F_287(x, k_0), F_288(x, k_0) + F_289(x, k_0))
Eq(F_288(x, k_0), F_14(x, k_0) + F_256(x, k_0))
Eq(F_289(x, k_0), F_256(x, k_0) + F_273(x, k_0))
Eq(F_290(x, k_0), F_14(x, k_0)*F_291(x, k_0))
Eq(F_291(x, k_0), F_292(x, k_0) + F_295(x, k_0))
Eq(F_292(x, k_0), F_293(x, k_0) + F_57(x, k_0))
Eq(F_293(x, k_0), F_23(x) + F_286(x, k_0) + F_294(x, k_0))
Eq(F_294(x, k_0), F_14(x, k_0)*F_57(x, k_0))
Eq(F_295(x, k_0), F_285(x, k_0) + F_296(x, k_0))
Eq(F_296(x, k_0), F_23(x) + F_297(x, k_0) + F_298(x, k_0) + F_302(x, k_0))
Eq(F_297(x, k_0), 0)
Eq(F_298(x, k_0), F_14(x, k_0)*F_299(x, k_0))
Eq(F_299(x, k_0), F_300(x, k_0) + F_301(x, k_0))
Eq(F_300(x, k_0), F_293(x, k_0))
Eq(F_301(x, k_0), F_296(x, k_0))
Eq(F_302(x, k_0), F_14(x, k_0)*F_285(x, k_0))
Eq(F_303(x, k_0), F_248(x, k_0) + F_304(x, k_0))
Eq(F_304(x, k_0), F_23(x) + F_305(x, k_0) + F_311(x, k_0) + F_320(x, k_0))
Eq(F_305(x, k_0), F_14(x, k_0)*F_306(x, k_0))
Eq(F_306(x, k_0), F_307(x, k_0) + F_309(x, k_0))
Eq(F_307(x, k_0), F_202(x, k_0) + F_308(x, k_0))
Eq(F_308(x, k_0), F_264(x, k_0))
Eq(F_309(x, k_0), F_308(x, k_0) + F_310(x, k_0))
Eq(F_310(x, k_0), F_281(x, k_0))
Eq(F_311(x, k_0), F_14(x, k_0)*F_312(x, k_0))
Eq(F_312(x, k_0), F_313(x, k_0) + F_315(x, k_0))
Eq(F_313(x, k_0), F_293(x, k_0) + F_314(x, k_0))
Eq(F_314(x, k_0), F_302(x, k_0))
Eq(F_315(x, k_0), F_316(x, k_0) + F_318(x, k_0))
Eq(F_316(x, k_0), F_23(x) + F_305(x, k_0) + F_311(x, k_0) + F_317(x, k_0))
Eq(F_317(x, k_0), F_14(x, k_0)*F_248(x, k_0))
Eq(F_318(x, k_0), F_319(x, k_0))
Eq(F_319(x, k_0), F_14(x, k_0)*F_304(x, k_0))
Eq(F_320(x, k_0), F_14(x, k_0)*F_321(x, k_0))
Eq(F_321(x, k_0), F_322(x, k_0) + F_323(x, k_0))
Eq(F_322(x, k_0), F_248(x, k_0) + F_316(x, k_0))
Eq(F_323(x, k_0), F_304(x, k_0) + F_324(x, k_0))
Eq(F_324(x, k_0), F_23(x) + F_319(x, k_0) + F_325(x, k_0) + F_326(x, k_0) + F_327(x, k_0))
Eq(F_325(x, k_0), 0)
Eq(F_326(x, k_0), 0)
Eq(F_327(x, k_0), F_14(x, k_0)*F_328(x, k_0))
Eq(F_328(x, k_0), F_329(x, k_0) + F_330(x, k_0))
Eq(F_329(x, k_0), F_316(x, k_0))
Eq(F_330(x, k_0), F_324(x, k_0))
Eq(F_331(x), F_1(x) + F_332(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_179(x)*F_331(x))
Eq(F_334(x), F_1(x) + F_175(x))
Eq(F_335(x, k_0), F_336(x, k_0))
Eq(F_336(x, k_0), F_179(x)*F_337(x, k_0))
Eq(F_337(x, k_0), (k_0*F_338(x, k_0) - F_338(x, 1))/(k_0 - 1))
Eq(F_338(x, k_0), F_339(x, k_0))
Eq(F_339(x, k_0), F_179(x)*F_340(x, k_0))
Eq(F_340(x, k_0), F_341(x, k_0) + F_345(x, k_0))
Eq(F_341(x, k_0), F_342(x, k_0) + F_392(x, k_0))
Eq(F_343(x, k_0), F_342(x, k_0) + F_345(x, k_0))
Eq(F_344(x, k_0), F_179(x)*F_343(x, k_0))
Eq(F_344(x, k_0), F_172(x, k_0))
Eq(F_345(x, k_0), F_346(x, k_0))
Eq(F_347(x, k_0), F_346(x, k_0) + F_369(x, k_0))
Eq(F_348(x, k_0), F_347(x, k_0) + F_379(x, k_0))
Eq(F_348(x, k_0), F_349(x, k_0) + F_361(x, k_0))
Eq(F_349(x, k_0), F_350(x, k_0) + F_358(x, k_0))
Eq(F_350(x, k_0), F_351(x, k_0)*F_353(x))
Eq(F_351(x, k_0), F_173(x, k_0) + F_352(x, k_0))
Eq(F_352(x, k_0), F_0(x) + F_157(x, k_0))
Eq(F_353(x), F_1(x) + F_354(x))
Eq(F_354(x), F_355(x))
Eq(F_355(x), F_179(x)*F_356(x))
Eq(F_356(x), F_331(x) + F_357(x))
Eq(F_357(x), F_354(x))
Eq(F_358(x, k_0), F_359(x, k_0))
Eq(F_359(x, k_0), F_179(x)*F_360(x, k_0))
Eq(F_360(x, k_0), (k_0*F_348(x, k_0) - F_348(x, 1))/(k_0 - 1))
Eq(F_361(x, k_0), F_362(x, k_0))
Eq(F_362(x, k_0), F_331(x)*F_363(x, k_0))
Eq(F_363(x, k_0), F_163(x, k_0) + F_364(x))
Eq(F_364(x), -F_0(x) + F_365(x))
Eq(F_365(x), F_331(x) + F_366(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_179(x)*F_368(x))
Eq(F_368(x), F_369(x, 1))
Eq(F_370(x, k_0), F_338(x, k_0) + F_369(x, k_0))
Eq(F_370(x, k_0), F_371(x, k_0) + F_375(x, k_0))
Eq(F_371(x, k_0), F_351(x, k_0) + F_372(x, k_0))
Eq(F_372(x, k_0), F_373(x, k_0))
Eq(F_373(x, k_0), F_179(x)*F_374(x, k_0))
Eq(F_374(x, k_0), (k_0*F_370(x, k_0) - F_370(x, 1))/(k_0 - 1))
Eq(F_375(x, k_0), F_376(x, k_0))
Eq(F_376(x, k_0), F_363(x, k_0) + F_377(x, k_0))
Eq(F_377(x, k_0), F_378(x, k_0))
Eq(F_338(x, k_0), F_172(x, k_0) + F_378(x, k_0))
Eq(F_379(x, k_0), F_380(x, k_0) + F_390(x, k_0))
Eq(F_380(x, k_0), F_381(x, k_0))
Eq(F_381(x, k_0), F_179(x)*F_382(x, k_0))
Eq(F_382(x, k_0), F_383(x, k_0) + F_385(x, k_0))
Eq(F_383(x, k_0), F_351(x, k_0)*F_384(x))
Eq(F_384(x), F_332(x) + F_353(x))
Eq(F_385(x, k_0), F_386(x, k_0))
Eq(F_386(x, k_0), F_179(x)*F_387(x, k_0))
Eq(F_387(x, k_0), (k_0*F_388(x, k_0) - F_388(x, 1))/(k_0 - 1))
Eq(F_389(x, k_0), F_179(x)*F_388(x, k_0))
Eq(F_389(x, k_0), F_379(x, k_0))
Eq(F_390(x, k_0), F_391(x, k_0))
Eq(F_391(x, k_0), F_332(x)*F_363(x, k_0))
Eq(F_392(x, k_0), F_393(x, k_0))
Eq(F_393(x, k_0), F_394(x, k_0)*F_63(x, k_0))
Eq(F_394(x, k_0), F_395(x, k_0))
Eq(F_395(x, k_0), F_179(x)*F_396(x, k_0))
Eq(F_396(x, k_0), F_165(x, k_0) + F_167(x))
Eq(F_398(x, k_0), F_397(x, k_0) + F_400(x, k_0))
Eq(F_399(x, k_0), F_179(x)*F_398(x, k_0))
Eq(F_399(x, k_0), F_172(x, k_0))
Eq(F_400(x, k_0), F_346(x, k_0))
Eq(F_401(x, k_0), F_402(x, k_0))
Eq(F_402(x, k_0), F_179(x)*F_403(x, k_0))
Eq(F_403(x, k_0), F_404(x, k_0) + F_491(x))
Eq(F_404(x, k_0), (k_0*F_405(x, k_0) - F_405(x, 1))/(k_0 - 1))
Eq(F_406(x, k_0), F_405(x, k_0) + F_491(x))
Eq(F_407(x, k_0), F_179(x)*F_406(x, k_0))
Eq(F_407(x, k_0), F_408(x, k_0))
Eq(F_408(x, k_0), F_162(x, k_0) + F_409(x))
Eq(F_409(x), F_410(x) + F_465(x))
Eq(F_410(x), F_411(x) + F_419(x))
Eq(F_411(x), F_412(x))
Eq(F_412(x), F_179(x)*F_413(x))
Eq(F_413(x), F_178(x) + F_414(x))
Eq(F_414(x), F_332(x) + F_415(x))
Eq(F_415(x), F_23(x) + F_416(x) + F_418(x))
Eq(F_416(x), F_179(x)*F_417(x))
Eq(F_417(x), F_179(x) + F_415(x))
Eq(F_418(x), F_179(x)*F_332(x))
Eq(F_419(x), F_23(x) + F_420(x) + F_439(x))
Eq(F_420(x), F_179(x)*F_421(x))
Eq(F_421(x), F_422(x) + F_427(x))
Eq(F_422(x), F_332(x) + F_423(x))
Eq(F_423(x), F_23(x) + F_424(x) + F_425(x))
Eq(F_424(x), F_179(x)*F_332(x))
Eq(F_425(x), F_179(x)*F_426(x))
Eq(F_426(x), F_179(x) + F_423(x))
Eq(F_427(x), F_428(x) + F_433(x))
Eq(F_428(x), F_23(x) + F_429(x) + F_431(x))
Eq(F_429(x), F_179(x)*F_430(x))
Eq(F_430(x), F_332(x) + F_428(x))
Eq(F_431(x), F_179(x)*F_432(x))
Eq(F_432(x), F_332(x) + F_428(x))
Eq(F_433(x), F_23(x) + F_434(x) + F_436(x) + F_437(x))
Eq(F_434(x), F_179(x)*F_435(x))
Eq(F_435(x), F_423(x) + F_433(x))
Eq(F_436(x), F_179(x)*F_428(x))
Eq(F_437(x), F_179(x)*F_438(x))
Eq(F_438(x), F_415(x) + F_433(x))
Eq(F_439(x), F_179(x)*F_440(x))
Eq(F_440(x), F_441(x) + F_449(x))
Eq(F_441(x), F_411(x) + F_442(x))
Eq(F_442(x), F_443(x))
Eq(F_443(x), F_179(x)*F_444(x))
Eq(F_444(x), F_445(x) + F_448(x))
Eq(F_445(x), F_411(x) + F_446(x))
Eq(F_446(x), F_447(x))
Eq(F_447(x), F_179(x)*F_445(x))
Eq(F_448(x), F_442(x))
Eq(F_449(x), F_419(x) + F_450(x))
Eq(F_450(x), 2*F_23(x) + F_451(x) + F_455(x))
Eq(F_451(x), F_179(x)*F_452(x))
Eq(F_452(x), F_453(x) + F_454(x))
Eq(F_453(x), F_442(x))
Eq(F_454(x), F_450(x))
Eq(F_455(x), F_179(x)*F_456(x))
Eq(F_456(x), F_457(x) + F_464(x))
Eq(F_457(x), F_419(x) + F_458(x))
Eq(F_458(x), 2*F_23(x) + F_459(x) + F_463(x))
Eq(F_459(x), F_179(x)*F_460(x))
Eq(F_460(x), F_461(x) + F_462(x))
Eq(F_461(x), F_446(x))
Eq(F_462(x), F_458(x))
Eq(F_463(x), F_179(x)*F_457(x))
Eq(F_464(x), F_450(x))
Eq(F_465(x), F_466(x) - F_490(x))
Eq(F_466(x), F_467(x) - F_489(x))
Eq(F_467(x), F_468(x)/F_179(x))
Eq(F_468(x), F_469(x))
Eq(F_469(x), -F_470(x) + F_5(x))
Eq(F_470(x), F_471(x))
Eq(F_471(x), F_179(x)*F_472(x))
Eq(F_472(x), F_353(x) + F_473(x))
Eq(F_473(x), F_470(x) + F_474(x))
Eq(F_474(x), F_23(x) + F_475(x) + F_479(x))
Eq(F_475(x), F_179(x)*F_476(x))
Eq(F_476(x), F_477(x) + F_478(x))
Eq(F_477(x), F_354(x))
Eq(F_478(x), F_474(x))
Eq(F_479(x), F_179(x)*F_480(x))
Eq(F_480(x), F_481(x) + F_488(x))
Eq(F_481(x), F_470(x) + F_482(x))
Eq(F_482(x), F_23(x) + F_483(x) + F_487(x))
Eq(F_483(x), F_179(x)*F_484(x))
Eq(F_484(x), F_485(x) + F_486(x))
Eq(F_485(x), F_332(x))
Eq(F_486(x), F_482(x))
Eq(F_487(x), F_179(x)*F_481(x))
Eq(F_488(x), F_474(x))
Eq(F_489(x), F_161(x, 1))
Eq(F_490(x), F_2(x) + F_469(x))
Eq(F_491(x), F_492(x))
Eq(F_492(x), F_179(x)*F_331(x)*F_493(x))
Eq(F_493(x), F_396(x, 1))
Eq(F_494(x, k_0), F_495(x, k_0))
Eq(F_495(x, k_0), F_14(x, k_0)*F_233(x, k_0)*F_496(x, k_0))
Eq(F_496(x, k_0), F_497(x, k_0) + F_61(x, k_0))
Eq(F_497(x, k_0), F_1(x) + F_57(x, k_0))
Pack JSON:
{"name": "point_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]], "symmetry": true}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 3, 1, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", 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[0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}]}]}, "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, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"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, 2], [1, 0]]}, {"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, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[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 5
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25849/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[10,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[11,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[10,x]*F[9,x,k[0]]
F[9,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[10,x] = x
F[11,x,k[0]] = F[12,x,k[0]]*F[20,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]+F[5,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[110,x,k[0]]*F[15,x,k[0]]*F[20,x,k[0]]
F[15,x,k[0]] = F[13,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[109,x,k[0]]+F[17,x,k[0]]
F[18,x,k[0]] = F[17,x,k[0]]+F[21,x,k[0]]
F[19,x,k[0]] = F[18,x,k[0]]*F[20,x,k[0]]
F[19,x,k[0]] = F[6,x,k[0]]
F[20,x,k[0]] = k[0]*x
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[20,x,k[0]]*F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]+F[85,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]+F[78,x,k[0]]
F[26,x,k[0]] = F[25,x,k[0]]+F[77,x,k[0]]
F[27,x,k[0]] = F[26,x,k[0]]+F[61,x,k[0]]
F[28,x,k[0]] = F[10,x]*F[27,x,k[0]]
F[28,x,k[0]] = F[29,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[47,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[10,x]*F[16,x,k[0]]*F[32,x]*F[35,x]
F[32,x] = F[1,x]+F[33,x]
F[33,x] = F[34,x]
F[34,x] = F[10,x]*F[32,x]
F[35,x] = F[1,x]+F[36,x]
F[36,x] = F[37,x]
F[37,x] = F[10,x]*F[38,x]
F[38,x] = F[39,x]+F[40,x]
F[39,x] = F[1,x]+F[10,x]
F[40,x] = F[36,x]+F[41,x]
F[41,x] = F[42,x]+F[46,x]+F[7,x]
F[42,x] = F[10,x]*F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[10,x]
F[45,x] = F[41,x]
F[46,x] = F[10,x]*F[36,x]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[10,x]*F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]+F[51,x,k[0]]
F[50,x,k[0]] = 1/(-1+k[0])*(F[29,x,k[0]]*k[0]-F[29,x,1])
F[51,x,k[0]] = F[10,x]*F[52,x,k[0]]
F[52,x,k[0]] = 1/(-1+k[0])*(F[53,x,k[0]]*k[0]-F[53,x,1])
F[53,x,k[0]] = F[54,x,k[0]]+F[7,x]+F[92,x,k[0]]+F[95,x,k[0]]+F[97,x,k[0]]
F[54,x,k[0]] = F[55,x]
F[55,x] = F[10,x]*F[56,x]
F[56,x] = F[57,x,1]
F[57,x,k[0]] = k[0]*F[58,x,k[0]]
F[59,x,k[0]] = F[10,x]*F[58,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]
F[61,x,k[0]] = F[60,x,k[0]]+F[65,x,k[0]]+F[7,x]+F[89,x,k[0]]+F[91,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]+F[63,x,k[0]]
F[62,x,k[0]] = F[30,x,k[0]]
F[63,x,k[0]] = F[10,x]*F[64,x,k[0]]
F[64,x,k[0]] = 1/(-1+k[0])*(F[61,x,k[0]]*k[0]-F[61,x,1])
F[65,x,k[0]] = F[66,x,k[0]]
F[66,x,k[0]] = F[20,x,k[0]]*F[67,x,k[0]]
F[67,x,k[0]] = 2*F[7,x]+F[68,x,k[0]]+F[69,x,k[0]]+F[70,x,k[0]]
F[68,x,k[0]] = F[59,x,k[0]]
F[69,x,k[0]] = F[66,x,k[0]]
F[70,x,k[0]] = F[10,x]*F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]+F[78,x,k[0]]
F[73,x,k[0]] = F[72,x,k[0]]+F[77,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]+F[75,x,k[0]]
F[74,x,k[0]] = F[30,x,k[0]]+F[5,x,k[0]]
F[75,x,k[0]] = F[10,x]*F[76,x,k[0]]
F[76,x,k[0]] = 1/(-1+k[0])*(F[73,x,k[0]]*k[0]-F[73,x,1])
F[77,x,k[0]] = F[61,x,k[0]]
F[78,x,k[0]] = F[7,x]+F[79,x,k[0]]+F[81,x,k[0]]+F[83,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[10,x]*F[57,x,k[0]]
F[81,x,k[0]] = F[20,x,k[0]]*F[82,x,k[0]]
F[82,x,k[0]] = k[0]*F[67,x,k[0]]
F[83,x,k[0]] = F[20,x,k[0]]*F[84,x,k[0]]
F[84,x,k[0]] = F[71,x,k[0]]+F[85,x,k[0]]
F[85,x,k[0]] = k[0]*F[86,x,k[0]]
F[86,x,k[0]] = F[68,x,k[0]]+F[69,x,k[0]]+F[7,x]+F[70,x,k[0]]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[20,x,k[0]]*F[86,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[10,x]*F[61,x,k[0]]
F[91,x,k[0]] = F[10,x]*F[73,x,k[0]]
F[92,x,k[0]] = F[93,x]
F[93,x] = F[10,x]*F[94,x]
F[94,x] = F[67,x,1]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[20,x,k[0]]*F[53,x,k[0]]
F[97,x,k[0]] = F[10,x]*F[98,x,k[0]]
F[98,x,k[0]] = F[100,x,k[0]]+F[99,x]
F[99,x] = F[72,x,1]
F[100,x,k[0]] = F[101,x,k[0]]+F[104,x,k[0]]+F[106,x,k[0]]+F[7,x]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[10,x]*F[103,x,k[0]]
F[103,x,k[0]] = k[0]*F[56,x]
F[104,x,k[0]] = F[10,x]*F[105,x,k[0]]
F[105,x,k[0]] = k[0]*F[94,x]
F[106,x,k[0]] = F[107,x,k[0]]*F[20,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]+F[98,x,k[0]]
F[108,x,k[0]] = k[0]*F[53,x,k[0]]
F[109,x,k[0]] = F[15,x,k[0]]*F[20,x,k[0]]
F[110,x,k[0]] = F[1,x]+F[111,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = F[110,x,k[0]]*F[20,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{6}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = -\frac{y \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y\right)\right)}{-1+y}
F_{10}\! \left(x \right) = x
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{5}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{15}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{6}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = y x
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{27}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{16}\! \left(x , y\right) F_{32}\! \left(x \right) F_{35}\! \left(x \right)
F_{32}\! \left(x \right) = F_{1}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{10}\! \left(x \right) F_{32}\! \left(x \right)
F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{10}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{40}\! \left(x \right) = F_{36}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{46}\! \left(x \right)+F_{7}\! \left(x \right)
F_{42}\! \left(x \right) = F_{10}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{10}\! \left(x \right)
F_{45}\! \left(x \right) = F_{41}\! \left(x \right)
F_{46}\! \left(x \right) = F_{10}\! \left(x \right) F_{36}\! \left(x \right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = -\frac{-F_{29}\! \left(x , y\right) y +F_{29}\! \left(x , 1\right)}{-1+y}
F_{51}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = -\frac{-y F_{53}\! \left(x , y\right)+F_{53}\! \left(x , 1\right)}{-1+y}
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{92}\! \left(x , y\right)+F_{95}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{10}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x , 1\right)
F_{57}\! \left(x , y\right) = y F_{58}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{58}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{65}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{89}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = -\frac{-F_{61}\! \left(x , y\right) y +F_{61}\! \left(x , 1\right)}{-1+y}
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = 2 F_{7}\! \left(x \right)+F_{68}\! \left(x , y\right)+F_{69}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{59}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{5}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = -\frac{-y F_{73}\! \left(x , y\right)+F_{73}\! \left(x , 1\right)}{-1+y}
F_{77}\! \left(x , y\right) = F_{61}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{7}\! \left(x \right)+F_{79}\! \left(x , y\right)+F_{81}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = y F_{67}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{71}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = y F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{69}\! \left(x , y\right)+F_{7}\! \left(x \right)+F_{70}\! \left(x , y\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_{20}\! \left(x , y\right) F_{86}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{61}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{10}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{67}\! \left(x , 1\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{53}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{72}\! \left(x , 1\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{104}\! \left(x , y\right)+F_{106}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{103}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = y F_{56}\! \left(x \right)
F_{104}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{105}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = y F_{94}\! \left(x \right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = y F_{53}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{111}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{20}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_10(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_11(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_10(x)*F_9(x, k_0))
Eq(F_9(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_10(x), x)
Eq(F_11(x, k_0), F_12(x, k_0)*F_20(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0) + F_5(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_110(x, k_0)*F_15(x, k_0)*F_20(x, k_0))
Eq(F_15(x, k_0), F_13(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_109(x, k_0) + F_17(x, k_0))
Eq(F_18(x, k_0), F_17(x, k_0) + F_21(x, k_0))
Eq(F_19(x, k_0), F_18(x, k_0)*F_20(x, k_0))
Eq(F_19(x, k_0), F_6(x, k_0))
Eq(F_20(x, k_0), k_0*x)
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_20(x, k_0)*F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0) + F_85(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0) + F_78(x, k_0))
Eq(F_26(x, k_0), F_25(x, k_0) + F_77(x, k_0))
Eq(F_27(x, k_0), F_26(x, k_0) + F_61(x, k_0))
Eq(F_28(x, k_0), F_10(x)*F_27(x, k_0))
Eq(F_28(x, k_0), F_29(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_47(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_10(x)*F_16(x, k_0)*F_32(x)*F_35(x))
Eq(F_32(x), F_1(x) + F_33(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_10(x)*F_32(x))
Eq(F_35(x), F_1(x) + F_36(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_10(x)*F_38(x))
Eq(F_38(x), F_39(x) + F_40(x))
Eq(F_39(x), F_1(x) + F_10(x))
Eq(F_40(x), F_36(x) + F_41(x))
Eq(F_41(x), F_42(x) + F_46(x) + F_7(x))
Eq(F_42(x), F_10(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_10(x))
Eq(F_45(x), F_41(x))
Eq(F_46(x), F_10(x)*F_36(x))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_10(x)*F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0) + F_51(x, k_0))
Eq(F_50(x, k_0), (k_0*F_29(x, k_0) - F_29(x, 1))/(k_0 - 1))
Eq(F_51(x, k_0), F_10(x)*F_52(x, k_0))
Eq(F_52(x, k_0), (k_0*F_53(x, k_0) - F_53(x, 1))/(k_0 - 1))
Eq(F_53(x, k_0), F_54(x, k_0) + F_7(x) + F_92(x, k_0) + F_95(x, k_0) + F_97(x, k_0))
Eq(F_54(x, k_0), F_55(x))
Eq(F_55(x), F_10(x)*F_56(x))
Eq(F_56(x), F_57(x, 1))
Eq(F_57(x, k_0), k_0*F_58(x, k_0))
Eq(F_59(x, k_0), F_10(x)*F_58(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_61(x, k_0), F_60(x, k_0) + F_65(x, k_0) + F_7(x) + F_89(x, k_0) + F_91(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0) + F_63(x, k_0))
Eq(F_62(x, k_0), F_30(x, k_0))
Eq(F_63(x, k_0), F_10(x)*F_64(x, k_0))
Eq(F_64(x, k_0), (k_0*F_61(x, k_0) - F_61(x, 1))/(k_0 - 1))
Eq(F_65(x, k_0), F_66(x, k_0))
Eq(F_66(x, k_0), F_20(x, k_0)*F_67(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0) + F_69(x, k_0) + 2*F_7(x) + F_70(x, k_0))
Eq(F_68(x, k_0), F_59(x, k_0))
Eq(F_69(x, k_0), F_66(x, k_0))
Eq(F_70(x, k_0), F_10(x)*F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0) + F_78(x, k_0))
Eq(F_73(x, k_0), F_72(x, k_0) + F_77(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0) + F_75(x, k_0))
Eq(F_74(x, k_0), F_30(x, k_0) + F_5(x, k_0))
Eq(F_75(x, k_0), F_10(x)*F_76(x, k_0))
Eq(F_76(x, k_0), (k_0*F_73(x, k_0) - F_73(x, 1))/(k_0 - 1))
Eq(F_77(x, k_0), F_61(x, k_0))
Eq(F_78(x, k_0), F_7(x) + F_79(x, k_0) + F_81(x, k_0) + F_83(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_10(x)*F_57(x, k_0))
Eq(F_81(x, k_0), F_20(x, k_0)*F_82(x, k_0))
Eq(F_82(x, k_0), k_0*F_67(x, k_0))
Eq(F_83(x, k_0), F_20(x, k_0)*F_84(x, k_0))
Eq(F_84(x, k_0), F_71(x, k_0) + F_85(x, k_0))
Eq(F_85(x, k_0), k_0*F_86(x, k_0))
Eq(F_86(x, k_0), F_68(x, k_0) + F_69(x, k_0) + F_7(x) + F_70(x, k_0) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_20(x, k_0)*F_86(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), F_10(x)*F_61(x, k_0))
Eq(F_91(x, k_0), F_10(x)*F_73(x, k_0))
Eq(F_92(x, k_0), F_93(x))
Eq(F_93(x), F_10(x)*F_94(x))
Eq(F_94(x), F_67(x, 1))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_20(x, k_0)*F_53(x, k_0))
Eq(F_97(x, k_0), F_10(x)*F_98(x, k_0))
Eq(F_98(x, k_0), F_100(x, k_0) + F_99(x))
Eq(F_99(x), F_72(x, 1))
Eq(F_100(x, k_0), F_101(x, k_0) + F_104(x, k_0) + F_106(x, k_0) + F_7(x))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_10(x)*F_103(x, k_0))
Eq(F_103(x, k_0), k_0*F_56(x))
Eq(F_104(x, k_0), F_10(x)*F_105(x, k_0))
Eq(F_105(x, k_0), k_0*F_94(x))
Eq(F_106(x, k_0), F_107(x, k_0)*F_20(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0) + F_98(x, k_0))
Eq(F_108(x, k_0), k_0*F_53(x, k_0))
Eq(F_109(x, k_0), F_15(x, k_0)*F_20(x, k_0))
Eq(F_110(x, k_0), F_1(x) + F_111(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), F_110(x, k_0)*F_20(x, k_0))
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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"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": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1, 4], "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, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [1, 2], [3, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [3, 2], [3, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [3, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [3, 2], [3, 2]]}, {"patt": [0, 1, 2], "pos": [[3, 2], [3, 2], [3, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [3, 2], [3, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [3, 2], [3, 2]]}, {"patt": [0, 2, 1], "pos": [[3, 2], [3, 2], [3, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], 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