01234_01243_01342_02134_02143_03124

Counting sequence:
1, 1, 2, 6, 24, 114, 599, 3360, 19737, 119960, 748297, 4763358, 30815456, 201987560, 1338411566, 8949535187, 60305734716, 409060427882, 2790629498576, 19133224022984, 131760552146247, 910913032431855, 6319458876005298, 43978365652696131, 306917489189692241, 2147400501849928965, 15059620400087757290, 105837098287874759672, 745261602426556745608, 5257260231323192528340, 37147598222373444606694, 262887361001080021537978, 1863069965403518026641843, 13221074768068372903061665, 93938660865517453275884385, 668232393605091287554164335, 4758663724844823889959480767, 33922546738294890528654456587, 242053819855948688811648059579, 1728748529995967333022298194690, 12357380122033555084360755153019, 88404781274978503547873071359016, 632938492261913673430415823747662, 4534889631100558492822809042036873, 32514398101469487965403493950193875, 233278100327976928598593893744714461, 1674742273864039213349813548558330140, 12030542327926445149291781038890024903, 86471688621094728963081877994335195605, 621875241938938811548387603814569252674, 4474690248927887204031403183105110531210, 32213915266091581311739984586955656247155, 232025600925000269098378428713403800886088, 1671982556579202405951983351555390019408891, 12053775686056081120733033830697318579968605, 86936578336739722507263385741444707872060394, 627282297355639133377083178277133627885835666, 4527911610555631304531721796338090841007984858, 32696480438541573872238867664917348388862548292, 236192609344776844357693384871319522270367727416, 1706821967858438905262467861207107819946086479418, 12338473941601092984109402716310192767402767577074, 89223844474863958633189483895584831759935408082118, 645419206091068529097939153999131631722653447406968, 4670245946147819040125875912535893588898115060746002, 33804164136707310523083344644710329678471968693936050, 244753611285942973371880633547790132311915178680575199, 1772607330674089372723173587343494602350576169984221059, 12841529395514673896986321341479488399461863521284115279, 93054666655079123361659787993093850061477441981969611798, 674486630135026664132776173517355173214515739651850076567, 4890114703559619202999842542531499848291904652138561822595, 35462727500549450983361344424926291179927593385718754435470, 257234739962090528292035978930342800776900909839393702995437, 1866330861185025586775021366065069587514151283279955251609448, 13543984258700959094609039834795425547231773675074178154410171, 98310611053045433512181292273600170326118774676408194740237245, 713753048041655219259068161401270528002144500424219360598218382, 5183066192467817549888639813100125843644878257794383625830733285, 37645615521338901498145592702875108837634829350825742393543797698, 273481955658252505774117160438267437777440754624914872594019905847, 1987135232092746011207776300200093417581678848849380309537361147284, 14441375770685622359171987326154397779378254004485227305061248269093, 104971188857681433259571123638446289943696269037191919287067075805371, 763150410238520435089318231030209332565323994866402079138852738759080, 5549154208582275899464016029960333372680565961884068214077788972828721, 40356945139217201130497567927561453726281489980773877942492248674400350, 293550544432302264385155689488761329307238734242426578039807470227225857, 2135595257046772222865178617258188345195318221606643222503456365529216532, 15539063840343137294312446158321075322060558445162555848328427485810729480, 113083449786920952667832845206185145435775810482949748864247061240178940256, 823076197516483083914167169273907132225920701582916382754577510546096239680, 5991649266088611733861210531292575999675017694043416573415588996939100092612, 43623114521896365646049015954745068346604189582509214848195694776028603795671, 317650501701724401238655273263382003135466310938355969186758733963614621701017, 2313362546602452736015772927823021128663790465986139511122886628774566588866571, 16849920746464930740260214604203910882449784770444789051904678740303193438004291, 122746976317162038841044819925877989194881290814485601758162798302489670787412118, 894296083713955064564605189333793114920917853769888682489583196964034122867074888, 6516408264201304266810457545562140393539490483795702369356825416601205855098136482, 47488729793060291747274681099077170260598691102952004466733603901295979728250756748

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24704/
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[11,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[7,x,k[0]]
F[7,x,k[0]] = F[21,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[12,x,k[0]]+F[5,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[11,x]
F[10,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[11,x] = x
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[21,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0],1]
F[15,x,k[0],k[1]] = F[16,x,k[0],k[0]*k[1]]
F[16,x,k[0],k[1]] = F[101,x,k[0],k[1]]+F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[12,x,k[0]]+F[18,x,k[0],k[1]]+F[22,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]+F[5,x,k[0]]
F[19,x,k[0],k[1]] = F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = F[17,x,k[0],k[1]]*F[21,x,k[1]]
F[21,x,k[0]] = k[0]*x
F[22,x,k[0],k[1]] = F[11,x]*F[23,x,k[0],k[1]]
F[23,x,k[0],k[1]] = F[24,x,1,k[0],k[1]]
F[24,x,k[0],k[1],k[2]] = F[217,x,k[0],k[1]]+F[246,x,k[0],k[1],k[2]]+F[248,x,k[0],k[1],k[2]]+F[25,x,k[0],k[1],k[2]]
F[26,x,k[0],k[1],k[2]] = F[245,x,k[0],k[1],k[2]]+F[25,x,k[0],k[1],k[2]]
F[27,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[26,x,k[0],k[1],k[2]]
F[28,x,k[0],k[1],k[2]] = F[1,x]+F[240,x,k[0],k[1],k[2]]+F[242,x,k[0],k[1],k[2]]+F[243,x,k[0],k[1],k[2]]+F[27,x,k[0],k[1],k[2]]
F[28,x,k[0],k[1],k[2]] = F[29,x,k[0],k[1]]+F[30,x,k[0],k[1],k[2]]
F[29,x,k[0],k[1]] = (F[5,x,k[0]]*k[0]-F[5,x,k[1]]*k[1])/(-k[1]+k[0])
F[30,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]
F[31,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[32,x,k[0],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[217,x,k[0],k[1]]+F[222,x,k[0],k[1],k[2]]+F[236,x,k[0],k[1],k[2]]+F[29,x,k[0],k[1]]+F[33,x,k[0],k[1],k[2]]+F[35,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[11,x]*F[34,x,k[0],k[1],k[2]]
F[34,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[32,x,k[0],k[1],k[2]]*k[0]-F[32,x,1,k[1],k[2]])
F[35,x,k[0],k[1],k[2]] = F[36,x,k[0],k[1],k[2]]
F[36,x,k[0],k[1],k[2]] = F[21,x,k[0]]*F[37,x,k[0],k[1],k[2]]
F[38,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[37,x,k[0],k[1],k[2]]
F[38,x,k[0],k[1],k[2]] = F[39,x,k[0],k[1],k[2]]
F[40,x,k[0],k[1],k[2]] = F[39,x,k[0],k[1],k[2]]+F[41,x,k[0],k[1]]
F[40,x,k[0],k[1],k[2]] = F[224,x,k[0],k[1],k[2]]+F[41,x,k[0],k[2]]
F[41,x,k[0],k[1]] = (F[42,x,k[0],1]*k[0]-F[42,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[42,x,k[0],k[1]] = F[43,x,k[0],k[0]*k[1]]
F[43,x,k[0],k[1]] = F[44,x,k[0],k[1]]+F[5,x,k[0]]
F[44,x,k[0],k[1]] = F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[21,x,k[1]]*F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[223,x,k[0],k[1]]+F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[12,x,k[0]]+F[173,x,k[0],k[1]]+F[48,x,k[0],k[1]]+F[5,x,k[0]]
F[48,x,k[0],k[1]] = F[11,x]*F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[50,x,1,k[0],k[1]]
F[50,x,k[0],k[1],k[2]] = F[217,x,k[0],k[1]]+F[222,x,k[0],k[1],k[2]]+F[29,x,k[0],k[1]]+F[51,x,k[0],k[1],k[2]]+F[53,x,k[0],k[1],k[2]]
F[51,x,k[0],k[1],k[2]] = F[11,x]*F[52,x,k[0],k[1],k[2]]
F[52,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[50,x,k[0],k[1],k[2]]*k[0]-F[50,x,1,k[1],k[2]])
F[53,x,k[0],k[1],k[2]] = F[54,x,k[0],k[1],k[2]]
F[54,x,k[0],k[1],k[2]] = F[21,x,k[0]]*F[55,x,k[0],k[1],k[2]]
F[56,x,k[0],k[1],k[2]] = F[215,x,k[0],k[1],k[2]]+F[55,x,k[0],k[1],k[2]]
F[57,x,k[0],k[1],k[2]] = F[21,x,k[0]]*F[56,x,k[0],k[1],k[2]]
F[57,x,k[0],k[1],k[2]] = F[58,x,k[0],k[1],k[2]]
F[59,x,k[0],k[1],k[2]] = F[203,x,k[0],k[1],k[2]]+F[58,x,k[0],k[1],k[2]]+F[63,x,k[0],k[1],k[2]]+F[64,x,k[0],k[1],k[2]]+F[66,x,k[0],k[1],k[2]]
F[59,x,k[0],k[1],k[2]] = (F[60,x,k[0],k[2]]*k[0]-F[60,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[61,x,k[0],k[1]] = F[21,x,k[1]]*F[60,x,k[0],k[1]]
F[61,x,k[0],k[1]] = F[62,x,k[0],k[1]]
F[62,x,k[0],k[1]] = k[1]*(F[6,x,k[0]]-F[6,x,k[1]])/(-k[1]+k[0])
F[63,x,k[0],k[1],k[2]] = (F[43,x,k[0],k[2]]*k[0]-F[43,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[64,x,k[0],k[1],k[2]] = F[11,x]*F[65,x,k[0],k[1],k[2]]
F[65,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[59,x,k[0],k[1],k[2]]*k[0]-F[59,x,1,k[1],k[2]])
F[66,x,k[0],k[1],k[2]] = F[67,x,k[0],k[1],k[2]]
F[67,x,k[0],k[1],k[2]] = F[21,x,k[1]]*F[68,x,k[0],k[1],k[2]]
F[68,x,k[0],k[1],k[2]] = F[196,x,k[0],k[1],k[2]]+F[69,x,k[0],k[1],k[2]]
F[69,x,k[0],k[1],k[2]] = (-F[70,x,1,k[1],k[2]]*k[1]+F[70,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[71,x,k[0],k[1],k[2]] = F[70,x,k[0],k[1],k[2]]+F[75,x,k[0],k[1],k[2]]
F[71,x,k[0],k[1],k[2]] = F[72,x,k[0]*k[1],k[1],k[2]]
F[73,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[72,x,k[0],k[1],k[2]]
F[73,x,k[0],k[1],k[2]] = F[74,x,k[0],k[1],k[2]]
F[74,x,k[0],k[1],k[2]] = k[2]*(F[44,x,k[0],k[1]]-F[44,x,k[0],k[2]])/(-k[2]+k[1])
F[75,x,k[0],k[1],k[2]] = F[76,x,k[0],k[1],k[2]]
F[76,x,k[0],k[1],k[2]] = k[2]*(F[77,x,k[0],k[1],1]-F[77,x,k[0],k[1],k[2]/k[1]])/(-k[2]+k[1])
F[77,x,k[0],k[1],k[2]] = F[78,x,k[0]*k[1],k[1],k[2]]
F[78,x,k[0],k[1],k[2]] = F[79,x,k[0],k[1],k[1]*k[2]]
F[79,x,k[0],k[1],k[2]] = F[105,x,k[0],k[1],k[2]]+F[80,x,k[0],k[2]]
F[80,x,k[0],k[1]] = F[81,x]+F[82,x,k[0],k[1]]+F[86,x,k[0],k[1]]
F[81,x] = 0
F[82,x,k[0],k[1]] = F[11,x]*F[83,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[84,x,1,k[0],k[1]]
F[84,x,k[0],k[1],k[2]] = F[85,x,k[0],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[50,x,k[0],k[1],k[2]]+F[85,x,k[0],k[1],k[2]]
F[86,x,k[0],k[1]] = F[21,x,k[1]]*F[87,x,k[0],k[1]]
F[87,x,k[0],k[1]] = F[80,x,k[0],k[1]]+F[88,x,k[0]]
F[88,x,k[0]] = F[5,x,k[0]]+F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[11,x]*F[91,x,k[0]]
F[91,x,k[0]] = F[92,x,1,k[0]]
F[92,x,k[0],k[1]] = F[29,x,k[0],k[1]]+F[93,x,k[0],k[1]]+F[95,x,k[0],k[1]]
F[93,x,k[0],k[1]] = F[11,x]*F[94,x,k[0],k[1]]
F[94,x,k[0],k[1]] = 1/(-1+k[0])*(F[92,x,k[0],k[1]]*k[0]-F[92,x,1,k[1]])
F[95,x,k[0],k[1]] = F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[21,x,k[0]]*F[97,x,k[0],k[1]]
F[97,x,k[0],k[1]] = F[98,x,1,k[0],k[1]]
F[98,x,k[0],k[1],k[2]] = F[99,x,k[0]*k[1],k[1],k[2]]
F[99,x,k[0],k[1],k[2]] = F[100,x,k[0],k[1],k[2]]+F[101,x,k[0],k[1]]
F[100,x,k[0],k[1],k[2]] = (F[17,x,k[0],k[1]]*k[1]-F[17,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]
F[102,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[80,x,k[0],k[1]]
F[103,x,k[0],k[1]] = F[104,x,k[0],1,k[1]]
F[104,x,k[0],k[1],k[2]] = F[105,x,k[0],k[1]*k[2],k[2]]
F[105,x,k[0],k[1],k[2]] = F[106,x,k[2],k[0],k[1]]
F[107,x,k[0],k[1],k[2]] = F[106,x,k[0],k[1],k[2]]+F[195,x,k[1],k[2]]
F[108,x,k[0],k[1],k[2]] = F[107,x,k[0],k[1],k[2]]+F[112,x,k[0],k[1]]
F[109,x,k[0],k[1],k[2]] = F[108,x,k[0],k[1],k[2]]*F[111,x,k[0]]
F[109,x,k[0],k[1],k[2]] = F[110,x,k[1],k[2],k[0]]
F[110,x,k[0],k[1],k[2]] = k[2]*(F[19,x,k[0],k[1]]-F[19,x,k[0],k[2]])/(-k[2]+k[1])
F[111,x,k[0]] = k[0]*x
F[112,x,k[0],k[1]] = F[113,x,k[1],k[0]]
F[114,x,k[0],k[1]] = F[113,x,k[0],k[1]]+F[175,x,k[0],k[1]]
F[115,x,k[0],k[1]] = F[114,x,k[0],k[1]]+F[185,x,k[0],k[1]]
F[115,x,k[0],k[1]] = F[116,x,k[0],k[1]]+F[175,x,k[0],k[1]]
F[116,x,k[0],k[1]] = F[117,x,k[0],k[1]]+F[12,x,k[0]]+F[173,x,k[0],k[1]]+F[174,x,k[0],k[1]]+F[5,x,k[0]]
F[117,x,k[0],k[1]] = F[11,x]*F[118,x,k[0],k[1]]
F[118,x,k[0],k[1]] = F[119,x,1,k[0],k[1]]
F[120,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]+F[170,x,k[0],k[1],k[2]]
F[121,x,k[0],k[1],k[2]] = F[120,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[121,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]
F[122,x,k[0],k[1],k[2]] = F[123,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[123,x,k[0],k[1],k[2]] = F[124,x,k[0],k[1],k[2]]+F[126,x,k[0],k[1],k[2]]
F[125,x,k[0],k[1],k[2]] = F[124,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[125,x,k[0],k[1],k[2]] = F[30,x,k[0],k[1],k[2]]
F[126,x,k[0],k[1],k[2]] = F[127,x,k[0],k[1],k[2]]
F[128,x,k[0],k[1],k[2]] = F[127,x,k[0],k[1],k[2]]+F[168,x,k[0],k[1],k[2]]
F[129,x,k[0],k[1],k[2]] = F[128,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[129,x,k[0],k[1],k[2]] = F[130,x,k[0],k[1],k[2]]
F[131,x,k[0],k[1],k[2]] = F[130,x,k[0],k[1],k[2]]+F[137,x,k[0],k[1],k[2]]
F[131,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]+F[28,x,k[0],k[1],k[2]]
F[132,x,k[0],k[1],k[2]] = k[2]*F[133,x,k[0],k[1],k[2]]
F[133,x,k[0],k[1],k[2]] = F[134,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1],k[2]] = F[11,x]*F[135,x,k[0],k[1],k[2]]
F[136,x,k[0],k[1],k[2]] = F[135,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[136,x,k[0],k[1],k[2]] = F[30,x,k[0],k[1],k[2]]
F[137,x,k[0],k[1],k[2]] = (F[138,x,k[0],k[2]]*k[0]-F[138,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[138,x,k[0],k[1]] = F[1,x]+F[139,x,k[0],k[1]]+F[141,x,k[0],k[1]]+F[167,x,k[0],k[1]]
F[139,x,k[0],k[1]] = F[11,x]*F[140,x,k[0],k[1]]
F[140,x,k[0],k[1]] = 1/(-1+k[0])*(F[138,x,k[0],k[1]]*k[0]-F[138,x,1,k[1]])
F[141,x,k[0],k[1]] = F[142,x,k[0],k[1]]*F[21,x,k[0]]
F[142,x,k[0],k[1]] = F[143,x,1,k[0],k[1]]
F[143,x,k[0],k[1],k[2]] = F[144,x,k[0]*k[1],k[1],k[2]]
F[144,x,k[0],k[1],k[2]] = F[145,x,k[0],k[1],k[2]]+F[43,x,k[0],k[1]]
F[145,x,k[0],k[1],k[2]] = k[2]*F[146,x,k[0],k[1]]
F[146,x,k[0],k[1]] = F[147,x,k[0],k[1]]+F[149,x,k[0],k[1]]+F[154,x,k[0],k[1]]+F[165,x,k[0],k[1]]+F[81,x]
F[147,x,k[0],k[1]] = F[11,x]*F[148,x,k[0],k[1]]
F[148,x,k[0],k[1]] = F[133,x,1,k[0],k[1]]
F[149,x,k[0],k[1]] = F[150,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0],1]
F[151,x,k[0],k[1]] = F[152,x,k[0],k[1]]*F[21,x,k[0]]
F[152,x,k[0],k[1]] = F[153,x,1,k[0],k[1]]
F[153,x,k[0],k[1],k[2]] = F[145,x,k[0]*k[1],k[1],k[2]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]
F[155,x,k[0],k[1]] = F[156,x,k[0],k[1]]*F[21,x,k[1]]
F[156,x,k[0],k[1]] = 2*F[81,x]+F[155,x,k[0],k[1]]+F[157,x,k[0],k[1]]+F[165,x,k[0],k[1]]
F[157,x,k[0],k[1]] = F[11,x]*F[158,x,k[0],k[1]]
F[158,x,k[0],k[1]] = F[159,x,1,k[0],k[1]]
F[159,x,k[0],k[1],k[2]] = F[160,x,k[0],k[1],k[2]]
F[160,x,k[0],k[1],k[2]] = F[11,x]*F[161,x,k[0],k[1],k[2]]
F[135,x,k[0],k[1],k[2]] = F[161,x,k[0],k[1],k[2]]+F[162,x,k[0],k[1],k[2]]
F[162,x,k[0],k[1],k[2]] = F[163,x,k[0],k[1]]
F[164,x,k[0],k[1]] = F[163,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[164,x,k[0],k[1]] = (F[8,x,k[0]]*k[0]-F[8,x,k[1]]*k[1])/(-k[1]+k[0])
F[165,x,k[0],k[1]] = F[166,x,k[0],k[1],1]
F[166,x,k[0],k[1],k[2]] = F[18,x,k[0],k[1]]*F[21,x,k[2]]
F[167,x,k[0],k[1]] = F[21,x,k[1]]*F[5,x,k[0]]
F[168,x,k[0],k[1],k[2]] = F[135,x,k[0],k[1],k[2]]+F[169,x,k[0],k[1],k[2]]
F[124,x,k[0],k[1],k[2]] = F[169,x,k[0],k[1],k[2]]+F[24,x,k[0],k[1],k[2]]
F[171,x,k[0],k[1],k[2]] = F[170,x,k[0],k[1],k[2]]+F[50,x,k[0],k[1],k[2]]
F[172,x,k[0],k[1],k[2]] = F[171,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[172,x,k[0],k[1],k[2]] = F[30,x,k[0],k[1],k[2]]
F[173,x,k[0],k[1]] = F[116,x,k[0],k[1]]*F[21,x,k[1]]
F[174,x,k[0],k[1]] = F[113,x,k[0],k[1]]*F[21,x,k[1]]
F[175,x,k[0],k[1]] = k[1]*F[176,x,k[0],k[1]]
F[177,x,k[0],k[1]] = (F[176,x,k[0],k[1]]*k[1]-F[176,x,k[0],1])/(-1+k[1])
F[178,x,k[0],k[1]] = F[177,x,k[0],k[1]]+F[181,x,k[0],k[1]]
F[179,x,k[0],k[1]] = F[178,x,k[0],k[1]]*F[21,x,k[1]]
F[179,x,k[0],k[1]] = F[180,x,k[0],k[1]]
F[180,x,k[0],k[1]] = -k[1]*(F[44,x,k[0],1]-F[44,x,k[0],k[1]])/(-1+k[1])
F[181,x,k[0],k[1]] = F[182,x,k[0],k[1],1]
F[182,x,k[0],k[1],k[2]] = (F[183,x,k[0],k[1],k[2]]*k[1]*k[2]-F[183,x,k[0],k[1],1/k[1]])/(k[1]*k[2]-1)
F[183,x,k[0],k[1],k[2]] = F[184,x,k[0],k[1],k[2]]+F[47,x,k[0],k[1]*k[2]]
F[184,x,k[0],k[1],k[2]] = F[80,x,k[0],k[1]]
F[185,x,k[0],k[1]] = k[1]*F[186,x,k[0],k[1]]
F[186,x,k[0],k[1]] = F[187,x,k[0],k[1]]
F[187,x,k[0],k[1]] = F[188,x,k[0],k[1],1]
F[188,x,k[0],k[1],k[2]] = F[189,x,k[0],k[1],k[2]]
F[190,x,k[0],k[1],k[2]] = F[189,x,k[0],k[1],k[2]]+F[193,x,k[0],k[1],k[2]]
F[191,x,k[0],k[1],k[2]] = F[190,x,k[0],k[1],k[2]]*F[21,x,k[1]]
F[191,x,k[0],k[1],k[2]] = F[192,x,k[0],k[1],k[2]]
F[144,x,k[0],k[1],k[2]] = F[138,x,k[0],k[2]]+F[192,x,k[0],k[1],k[2]]
F[193,x,k[0],k[1],k[2]] = F[194,x,k[0],k[1],k[2]]+F[46,x,k[0],k[1]]
F[194,x,k[0],k[1],k[2]] = k[2]*F[176,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[195,x,k[0],k[1]]+F[8,x,k[0]]
F[196,x,k[0],k[1],k[2]] = (-F[197,x,1,k[1],k[2]]*k[1]+F[197,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[197,x,k[0],k[1],k[2]] = F[198,x,k[0]*k[1],k[1],k[2]]
F[199,x,k[0],k[1],k[2]] = F[198,x,k[0],k[1],k[2]]+F[202,x,k[0],k[1],k[2]]
F[200,x,k[0],k[1],k[2]] = F[199,x,k[0],k[1],k[2]]*F[21,x,k[1]]
F[200,x,k[0],k[1],k[2]] = F[201,x,k[0],k[1],k[2]]
F[201,x,k[0],k[1],k[2]] = k[1]*(F[44,x,k[0],k[1]]-F[44,x,k[0],k[2]])/(-k[2]+k[1])
F[70,x,k[0],k[1],k[2]] = F[202,x,k[0]*k[1],k[1],k[2]]
F[203,x,k[0],k[1],k[2]] = F[204,x,k[0],k[1],k[2]]
F[204,x,k[0],k[1],k[2]] = F[205,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[205,x,k[0],k[1],k[2]] = (F[206,x,k[0],k[2]]*k[0]-F[206,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[207,x,k[0],k[1]] = F[206,x,k[0],k[1]]*F[21,x,k[1]]
F[207,x,k[0],k[1]] = F[208,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[208,x,k[0],k[1]]+F[209,x,k[0],k[1]]+F[211,x,k[0],k[1]]+F[43,x,k[0],k[1]]
F[209,x,k[0],k[1]] = F[11,x]*F[210,x,k[0],k[1]]
F[210,x,k[0],k[1]] = 1/(-1+k[0])*(F[60,x,k[0],k[1]]*k[0]-F[60,x,1,k[1]])
F[211,x,k[0],k[1]] = F[212,x,k[0],k[1]]
F[212,x,k[0],k[1]] = F[21,x,k[0]]*F[213,x,k[0],k[1]]
F[213,x,k[0],k[1]] = F[214,x,1,k[0],k[1]]
F[214,x,k[0],k[1],k[2]] = F[199,x,k[0]*k[1],k[1],k[2]]
F[215,x,k[0],k[1],k[2]] = (F[216,x,k[0],1,k[2]]*k[0]-F[216,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[216,x,k[0],k[1],k[2]] = F[198,x,k[0],k[0]*k[1],k[2]]
F[217,x,k[0],k[1]] = F[218,x,k[0],k[1]]
F[218,x,k[0],k[1]] = F[21,x,k[1]]*F[219,x,k[0],k[1]]
F[219,x,k[0],k[1]] = (-F[220,x,1,k[1]]*k[1]+F[220,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[220,x,k[0],k[1]] = F[221,x,k[0],k[1],1]
F[221,x,k[0],k[1],k[2]] = F[16,x,k[0]*k[1],k[1]*k[2]]
F[222,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]*F[21,x,k[2]]
F[223,x,k[0],k[1]] = F[80,x,k[0],k[1]]
F[224,x,k[0],k[1],k[2]] = F[225,x,k[0],k[1],k[2]]
F[225,x,k[0],k[1],k[2]] = F[21,x,k[1]]*F[226,x,k[0],k[1],k[2]]
F[226,x,k[0],k[1],k[2]] = F[227,x,k[0],k[1],k[2]]+F[55,x,k[0],k[1],k[2]]
F[227,x,k[0],k[1],k[2]] = (F[228,x,k[0],1,k[2]]*k[0]-F[228,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[228,x,k[0],k[1],k[2]] = F[229,x,k[0],k[0]*k[1],k[2]]
F[229,x,k[0],k[1],k[2]] = k[2]*F[230,x,k[0],k[1]]
F[231,x,k[0],k[1]] = (F[230,x,k[0],k[1]]*k[1]-F[230,x,k[0],1])/(-1+k[1])
F[232,x,k[0],k[1]] = F[231,x,k[0],k[1]]+F[235,x,k[0],k[1]]
F[233,x,k[0],k[1]] = F[11,x]*F[232,x,k[0],k[1]]
F[233,x,k[0],k[1]] = F[234,x,k[0],k[1]]
F[234,x,k[0],k[1]] = (F[44,x,k[0],k[1]]-F[44,x,k[0],1])/(-1+k[1])
F[235,x,k[0],k[1]] = F[99,x,k[0],k[1],1]
F[236,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[237,x,k[0],k[1],k[2]]
F[237,x,k[0],k[1],k[2]] = F[238,x,k[2],k[0],k[1]]
F[238,x,k[0],k[1],k[2]] = F[239,x,k[0],k[1],k[2]]+F[92,x,k[1],k[2]]
F[239,x,k[0],k[1],k[2]] = F[84,x,k[1],k[2],k[0]]
F[240,x,k[0],k[1],k[2]] = F[11,x]*F[241,x,k[0],k[1],k[2]]
F[241,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[28,x,k[0],k[1],k[2]]*k[0]-F[28,x,1,k[1],k[2]])
F[242,x,k[0],k[1],k[2]] = F[21,x,k[0]]*F[40,x,k[0],k[1],k[2]]
F[243,x,k[0],k[1],k[2]] = F[21,x,k[1]]*F[244,x,k[0],k[1],k[2]]
F[244,x,k[0],k[1],k[2]] = (-F[143,x,1,k[1],k[2]]*k[1]+F[143,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[245,x,k[0],k[1],k[2]] = k[2]*F[159,x,k[0],k[1],k[2]]
F[246,x,k[0],k[1],k[2]] = F[11,x]*F[247,x,k[0],k[1],k[2]]
F[247,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[24,x,k[0],k[1],k[2]]*k[0]-F[24,x,1,k[1],k[2]])
F[248,x,k[0],k[1],k[2]] = F[249,x,k[0],k[1],k[2]]
F[249,x,k[0],k[1],k[2]] = F[21,x,k[0]]*F[250,x,k[0],k[1],k[2]]
F[251,x,k[0],k[1],k[2]] = F[250,x,k[0],k[1],k[2]]+F[255,x,k[0],k[1],k[2]]
F[252,x,k[0],k[1],k[2]] = F[21,x,k[2]]*F[251,x,k[0],k[1],k[2]]
F[252,x,k[0],k[1],k[2]] = F[253,x,k[0],k[1],k[2]]
F[253,x,k[0],k[1],k[2]] = (F[254,x,k[0],1,k[2]]*k[0]-F[254,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[254,x,k[0],k[1],k[2]] = F[74,x,k[0],k[0]*k[1],k[2]]
F[255,x,k[0],k[1],k[2]] = (F[256,x,k[0],1,k[2]]*k[0]-F[256,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[256,x,k[0],k[1],k[2]] = F[257,x,k[0],k[0]*k[1],k[2]]
F[257,x,k[0],k[1],k[2]] = (-F[258,x,k[0],1,k[2]]*k[2]+F[258,x,k[0],k[1]/k[2],k[2]]*k[1])/(-k[2]+k[1])
F[258,x,k[0],k[1],k[2]] = F[229,x,k[0],k[1]*k[2],k[2]]
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_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{7}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right) F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{5}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{11}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = -\frac{-F_{8}\! \left(x , y_{0}\right) y_{0}+F_{8}\! \left(x , 1\right)}{-1+y_{0}}
F_{11}\! \left(x \right) = x
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{21}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}, 1\right)
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{16}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \left(x , y_{0}, y_{1}\right)+F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{0}\right)+F_{18}\! \left(x , y_{0}, y_{1}\right)+F_{22}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{21}\! \left(x , y_{0}\right) = y_{0} x
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{23}\! \left(x , y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , 1, y_{0}, y_{1}\right)
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{217}\! \left(x , y_{0}, y_{1}\right)+F_{246}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{248}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{245}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{240}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{242}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{243}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{5}\! \left(x , y_{0}\right) y_{0}-F_{5}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{217}\! \left(x , y_{0}, y_{1}\right)+F_{222}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{236}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{34}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{32}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}\right) F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{39}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{39}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{224}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{41}\! \left(x , y_{0}, y_{2}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{42}\! \left(x , y_{0}, 1\right) y_{0}-F_{42}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{44}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{223}\! \left(x , y_{0}, y_{1}\right)+F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{0}\right)+F_{173}\! \left(x , y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{50}\! \left(x , 1, y_{0}, y_{1}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{217}\! \left(x , y_{0}, y_{1}\right)+F_{222}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{50}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{54}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}\right) F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{215}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}\right) F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{59}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{203}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{63}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{64}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{59}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{60}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{60}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{61}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = F_{62}\! \left(x , y_{0}, y_{1}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{6}\! \left(x , y_{0}\right)-F_{6}\! \left(x , y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{63}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{43}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{43}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{64}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{59}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{59}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}\right) F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{196}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{70}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{70}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{75}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{72}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{44}\! \left(x , y_{0}, y_{1}\right)-F_{44}\! \left(x , y_{0}, y_{2}\right)\right)}{-y_{2}+y_{1}}
F_{75}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{77}\! \left(x , y_{0}, y_{1}, 1\right)-F_{77}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right)\right)}{-y_{2}+y_{1}}
F_{77}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{78}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{79}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{105}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{80}\! \left(x , y_{0}, y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}\right) = F_{81}\! \left(x \right)+F_{82}\! \left(x , y_{0}, y_{1}\right)+F_{86}\! \left(x , y_{0}, y_{1}\right)
F_{81}\! \left(x \right) = 0
F_{82}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{83}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}, y_{1}\right) = F_{84}\! \left(x , 1, y_{0}, y_{1}\right)
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{86}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{87}\! \left(x , y_{0}, y_{1}\right)
F_{87}\! \left(x , y_{0}, y_{1}\right) = F_{80}\! \left(x , y_{0}, y_{1}\right)+F_{88}\! \left(x , y_{0}\right)
F_{88}\! \left(x , y_{0}\right) = F_{5}\! \left(x , y_{0}\right)+F_{89}\! \left(x , y_{0}\right)
F_{89}\! \left(x , y_{0}\right) = F_{90}\! \left(x , y_{0}\right)
F_{90}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{91}\! \left(x , y_{0}\right)
F_{91}\! \left(x , y_{0}\right) = F_{92}\! \left(x , 1, y_{0}\right)
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{93}\! \left(x , y_{0}, y_{1}\right)+F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{93}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{94}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{92}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{92}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{96}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right) F_{97}\! \left(x , y_{0}, y_{1}\right)
F_{97}\! \left(x , y_{0}, y_{1}\right) = F_{98}\! \left(x , 1, y_{0}, y_{1}\right)
F_{98}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{99}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{101}\! \left(x , y_{0}, y_{1}\right)
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{17}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{17}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}
F_{101}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right)
F_{102}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)+F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, 1, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{105}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{105}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{106}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{106}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{195}\! \left(x , y_{1}, y_{2}\right)
F_{108}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{107}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{112}\! \left(x , y_{0}, y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{108}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{111}\! \left(x , y_{0}\right)
F_{109}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{110}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{19}\! \left(x , y_{0}, y_{1}\right)-F_{19}\! \left(x , y_{0}, y_{2}\right)\right)}{-y_{2}+y_{1}}
F_{111}\! \left(x , y_{0}\right) = y_{0} x
F_{112}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{1}, y_{0}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right)+F_{175}\! \left(x , y_{0}, y_{1}\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{114}\! \left(x , y_{0}, y_{1}\right)+F_{185}\! \left(x , y_{0}, y_{1}\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{0}, y_{1}\right)+F_{175}\! \left(x , y_{0}, y_{1}\right)
F_{116}\! \left(x , y_{0}, y_{1}\right) = F_{117}\! \left(x , y_{0}, y_{1}\right)+F_{12}\! \left(x , y_{0}\right)+F_{173}\! \left(x , y_{0}, y_{1}\right)+F_{174}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)
F_{117}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{118}\! \left(x , y_{0}, y_{1}\right)
F_{118}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , 1, y_{0}, y_{1}\right)
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{170}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{123}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{123}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{168}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{138}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{138}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{138}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{139}\! \left(x , y_{0}, y_{1}\right)+F_{141}\! \left(x , y_{0}, y_{1}\right)+F_{167}\! \left(x , y_{0}, y_{1}\right)
F_{139}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{140}\! \left(x , y_{0}, y_{1}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{138}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{138}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{141}\! \left(x , y_{0}, y_{1}\right) = F_{142}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{0}\right)
F_{142}\! \left(x , y_{0}, y_{1}\right) = F_{143}\! \left(x , 1, y_{0}, y_{1}\right)
F_{143}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{144}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{144}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{145}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{145}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{146}\! \left(x , y_{0}, y_{1}\right)
F_{146}\! \left(x , y_{0}, y_{1}\right) = F_{147}\! \left(x , y_{0}, y_{1}\right)+F_{149}\! \left(x , y_{0}, y_{1}\right)+F_{154}\! \left(x , y_{0}, y_{1}\right)+F_{165}\! \left(x , y_{0}, y_{1}\right)+F_{81}\! \left(x \right)
F_{147}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{148}\! \left(x , y_{0}, y_{1}\right)
F_{148}\! \left(x , y_{0}, y_{1}\right) = F_{133}\! \left(x , 1, y_{0}, y_{1}\right)
F_{149}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}\right)
F_{150}\! \left(x , y_{0}\right) = F_{151}\! \left(x , y_{0}, 1\right)
F_{151}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{0}\right)
F_{152}\! \left(x , y_{0}, y_{1}\right) = F_{153}\! \left(x , 1, y_{0}, y_{1}\right)
F_{153}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{145}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{154}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right)
F_{155}\! \left(x , y_{0}, y_{1}\right) = F_{156}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{156}\! \left(x , y_{0}, y_{1}\right) = 2 F_{81}\! \left(x \right)+F_{155}\! \left(x , y_{0}, y_{1}\right)+F_{157}\! \left(x , y_{0}, y_{1}\right)+F_{165}\! \left(x , y_{0}, y_{1}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{158}\! \left(x , y_{0}, y_{1}\right)
F_{158}\! \left(x , y_{0}, y_{1}\right) = F_{159}\! \left(x , 1, y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{161}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{163}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}, y_{1}\right) = F_{163}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{8}\! \left(x , y_{0}\right) y_{0}-F_{8}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{166}\! \left(x , y_{0}, y_{1}, 1\right)
F_{166}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{2}\right)
F_{167}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{5}\! \left(x , y_{0}\right)
F_{168}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{169}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{169}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{171}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{170}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{172}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{171}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{172}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{173}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{174}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{175}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{176}\! \left(x , y_{0}, y_{1}\right)
F_{177}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{1} F_{176}\! \left(x , y_{0}, y_{1}\right)+F_{176}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{178}\! \left(x , y_{0}, y_{1}\right) = F_{177}\! \left(x , y_{0}, y_{1}\right)+F_{181}\! \left(x , y_{0}, y_{1}\right)
F_{179}\! \left(x , y_{0}, y_{1}\right) = F_{178}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{179}\! \left(x , y_{0}, y_{1}\right) = F_{180}\! \left(x , y_{0}, y_{1}\right)
F_{180}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{44}\! \left(x , y_{0}, 1\right)-F_{44}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{181}\! \left(x , y_{0}, y_{1}\right) = F_{182}\! \left(x , y_{0}, y_{1}, 1\right)
F_{182}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{183}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1} y_{2}-F_{183}\! \left(x , y_{0}, y_{1}, \frac{1}{y_{1}}\right)}{y_{1} y_{2}-1}
F_{183}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{184}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{47}\! \left(x , y_{0}, y_{1} y_{2}\right)
F_{184}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{185}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{186}\! \left(x , y_{0}, y_{1}\right)
F_{186}\! \left(x , y_{0}, y_{1}\right) = F_{187}\! \left(x , y_{0}, y_{1}\right)
F_{187}\! \left(x , y_{0}, y_{1}\right) = F_{188}\! \left(x , y_{0}, y_{1}, 1\right)
F_{188}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{189}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{190}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{189}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{193}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{191}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{190}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{1}\right)
F_{191}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{192}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{144}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{138}\! \left(x , y_{0}, y_{2}\right)+F_{192}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{193}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{194}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{194}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{176}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{195}\! \left(x , y_{0}, y_{1}\right)+F_{8}\! \left(x , y_{0}\right)
F_{196}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{197}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{197}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{197}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{198}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{199}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{198}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{202}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{200}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{199}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{1}\right)
F_{200}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{201}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{201}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} \left(F_{44}\! \left(x , y_{0}, y_{1}\right)-F_{44}\! \left(x , y_{0}, y_{2}\right)\right)}{-y_{2}+y_{1}}
F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{202}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{203}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{204}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{204}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{205}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{205}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{206}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{206}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{207}\! \left(x , y_{0}, y_{1}\right) = F_{206}\! \left(x , y_{0}, y_{1}\right) F_{21}\! \left(x , y_{1}\right)
F_{207}\! \left(x , y_{0}, y_{1}\right) = F_{208}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{208}\! \left(x , y_{0}, y_{1}\right)+F_{209}\! \left(x , y_{0}, y_{1}\right)+F_{211}\! \left(x , y_{0}, y_{1}\right)+F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{209}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{210}\! \left(x , y_{0}, y_{1}\right)
F_{210}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{60}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{60}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{211}\! \left(x , y_{0}, y_{1}\right) = F_{212}\! \left(x , y_{0}, y_{1}\right)
F_{212}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right) F_{213}\! \left(x , y_{0}, y_{1}\right)
F_{213}\! \left(x , y_{0}, y_{1}\right) = F_{214}\! \left(x , 1, y_{0}, y_{1}\right)
F_{214}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{199}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{215}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{216}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{216}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{216}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{198}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{217}\! \left(x , y_{0}, y_{1}\right) = F_{218}\! \left(x , y_{0}, y_{1}\right)
F_{218}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right) F_{219}\! \left(x , y_{0}, y_{1}\right)
F_{219}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{220}\! \left(x , 1, y_{1}\right) y_{1}-F_{220}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{220}\! \left(x , y_{0}, y_{1}\right) = F_{221}\! \left(x , y_{0}, y_{1}, 1\right)
F_{221}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{16}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{222}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{21}\! \left(x , y_{2}\right)
F_{223}\! \left(x , y_{0}, y_{1}\right) = F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{224}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{225}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{225}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}\right) F_{226}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{226}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{227}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{227}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{228}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{228}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{228}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{229}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{229}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{230}\! \left(x , y_{0}, y_{1}\right)
F_{231}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{230}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{230}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{232}\! \left(x , y_{0}, y_{1}\right) = F_{231}\! \left(x , y_{0}, y_{1}\right)+F_{235}\! \left(x , y_{0}, y_{1}\right)
F_{233}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{232}\! \left(x , y_{0}, y_{1}\right)
F_{233}\! \left(x , y_{0}, y_{1}\right) = F_{234}\! \left(x , y_{0}, y_{1}\right)
F_{234}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{44}\! \left(x , y_{0}, 1\right)-F_{44}\! \left(x , y_{0}, y_{1}\right)}{-1+y_{1}}
F_{235}\! \left(x , y_{0}, y_{1}\right) = F_{99}\! \left(x , y_{0}, y_{1}, 1\right)
F_{236}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{237}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{237}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{238}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{238}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{239}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{92}\! \left(x , y_{1}, y_{2}\right)
F_{239}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{84}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{240}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{241}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{241}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{28}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{242}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}\right) F_{40}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{243}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}\right) F_{244}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{244}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{143}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{143}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{245}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{159}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{246}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{247}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{247}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{24}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{248}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{249}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{249}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}\right) F_{250}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{251}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{250}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{255}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{252}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{2}\right) F_{251}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{252}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{253}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{253}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{254}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{254}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{254}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{74}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{255}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{256}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{256}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{256}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{257}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{257}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{y_{2} F_{258}\! \left(x , y_{0}, 1, y_{2}\right)-y_{1} F_{258}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right)}{-y_{2}+y_{1}}
F_{258}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{229}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\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_11(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_7(x, k_0))
Eq(F_7(x, k_0), F_21(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_12(x, k_0) + F_5(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_11(x))
Eq(F_10(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_11(x), x)
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_21(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0, 1))
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_0*k_1))
Eq(F_16(x, k_0, k_1), F_101(x, k_0, k_1) + F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_12(x, k_0) + F_18(x, k_0, k_1) + F_22(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1) + F_5(x, k_0))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), F_17(x, k_0, k_1)*F_21(x, k_1))
Eq(F_21(x, k_0), k_0*x)
Eq(F_22(x, k_0, k_1), F_11(x)*F_23(x, k_0, k_1))
Eq(F_23(x, k_0, k_1), F_24(x, 1, k_0, k_1))
Eq(F_24(x, k_0, k_1, k_2), F_217(x, k_0, k_1) + F_246(x, k_0, k_1, k_2) + F_248(x, k_0, k_1, k_2) + F_25(x, k_0, k_1, k_2))
Eq(F_26(x, k_0, k_1, k_2), F_245(x, k_0, k_1, k_2) + F_25(x, k_0, k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2), F_21(x, k_2)*F_26(x, k_0, k_1, k_2))
Eq(F_28(x, k_0, k_1, k_2), F_1(x) + F_240(x, k_0, k_1, k_2) + F_242(x, k_0, k_1, k_2) + F_243(x, k_0, k_1, k_2) + F_27(x, k_0, k_1, k_2))
Eq(F_28(x, k_0, k_1, k_2), F_29(x, k_0, k_1) + F_30(x, k_0, k_1, k_2))
Eq(F_29(x, k_0, k_1), (-k_0*F_5(x, k_0) + k_1*F_5(x, k_1))/(-k_0 + k_1))
Eq(F_30(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2))
Eq(F_31(x, k_0, k_1, k_2), F_21(x, k_2)*F_32(x, k_0, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_217(x, k_0, k_1) + F_222(x, k_0, k_1, k_2) + F_236(x, k_0, k_1, k_2) + F_29(x, k_0, k_1) + F_33(x, k_0, k_1, k_2) + F_35(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_11(x)*F_34(x, k_0, k_1, k_2))
Eq(F_34(x, k_0, k_1, k_2), (k_0*F_32(x, k_0, k_1, k_2) - F_32(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_35(x, k_0, k_1, k_2), F_36(x, k_0, k_1, k_2))
Eq(F_36(x, k_0, k_1, k_2), F_21(x, k_0)*F_37(x, k_0, k_1, k_2))
Eq(F_38(x, k_0, k_1, k_2), F_21(x, k_2)*F_37(x, k_0, k_1, k_2))
Eq(F_38(x, k_0, k_1, k_2), F_39(x, k_0, k_1, k_2))
Eq(F_40(x, k_0, k_1, k_2), F_39(x, k_0, k_1, k_2) + F_41(x, k_0, k_1))
Eq(F_40(x, k_0, k_1, k_2), F_224(x, k_0, k_1, k_2) + F_41(x, k_0, k_2))
Eq(F_41(x, k_0, k_1), (-k_0*F_42(x, k_0, 1) + k_1*F_42(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_0*k_1))
Eq(F_43(x, k_0, k_1), F_44(x, k_0, k_1) + F_5(x, k_0))
Eq(F_44(x, k_0, k_1), F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_21(x, k_1)*F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_223(x, k_0, k_1) + F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_12(x, k_0) + F_173(x, k_0, k_1) + F_48(x, k_0, k_1) + F_5(x, k_0))
Eq(F_48(x, k_0, k_1), F_11(x)*F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_50(x, 1, k_0, k_1))
Eq(F_50(x, k_0, k_1, k_2), F_217(x, k_0, k_1) + F_222(x, k_0, k_1, k_2) + F_29(x, k_0, k_1) + F_51(x, k_0, k_1, k_2) + F_53(x, k_0, k_1, k_2))
Eq(F_51(x, k_0, k_1, k_2), F_11(x)*F_52(x, k_0, k_1, k_2))
Eq(F_52(x, k_0, k_1, k_2), (k_0*F_50(x, k_0, k_1, k_2) - F_50(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_53(x, k_0, k_1, k_2), F_54(x, k_0, k_1, k_2))
Eq(F_54(x, k_0, k_1, k_2), F_21(x, k_0)*F_55(x, k_0, k_1, k_2))
Eq(F_56(x, k_0, k_1, k_2), F_215(x, k_0, k_1, k_2) + F_55(x, k_0, k_1, k_2))
Eq(F_57(x, k_0, k_1, k_2), F_21(x, k_0)*F_56(x, k_0, k_1, k_2))
Eq(F_57(x, k_0, k_1, k_2), F_58(x, k_0, k_1, k_2))
Eq(F_59(x, k_0, k_1, k_2), F_203(x, k_0, k_1, k_2) + F_58(x, k_0, k_1, k_2) + F_63(x, k_0, k_1, k_2) + F_64(x, k_0, k_1, k_2) + F_66(x, k_0, k_1, k_2))
Eq(F_59(x, k_0, k_1, k_2), (-k_0*F_60(x, k_0, k_2) + k_1*F_60(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_61(x, k_0, k_1), F_21(x, k_1)*F_60(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), F_62(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), -F_6(x, k_0) + (-k_0*F_6(x, k_0) + k_1*F_6(x, k_1))/(-k_0 + k_1))
Eq(F_63(x, k_0, k_1, k_2), (-k_0*F_43(x, k_0, k_2) + k_1*F_43(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_64(x, k_0, k_1, k_2), F_11(x)*F_65(x, k_0, k_1, k_2))
Eq(F_65(x, k_0, k_1, k_2), (k_0*F_59(x, k_0, k_1, k_2) - F_59(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_66(x, k_0, k_1, k_2), F_67(x, k_0, k_1, k_2))
Eq(F_67(x, k_0, k_1, k_2), F_21(x, k_1)*F_68(x, k_0, k_1, k_2))
Eq(F_68(x, k_0, k_1, k_2), F_196(x, k_0, k_1, k_2) + F_69(x, k_0, k_1, k_2))
Eq(F_69(x, k_0, k_1, k_2), (-k_0*F_70(x, k_0/k_1, k_1, k_2) + k_1*F_70(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_71(x, k_0, k_1, k_2), F_70(x, k_0, k_1, k_2) + F_75(x, k_0, k_1, k_2))
Eq(F_71(x, k_0, k_1, k_2), F_72(x, k_0*k_1, k_1, k_2))
Eq(F_73(x, k_0, k_1, k_2), F_21(x, k_2)*F_72(x, k_0, k_1, k_2))
Eq(F_73(x, k_0, k_1, k_2), F_74(x, k_0, k_1, k_2))
Eq(F_74(x, k_0, k_1, k_2), -F_44(x, k_0, k_1) + (-k_1*F_44(x, k_0, k_1) + k_2*F_44(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_75(x, k_0, k_1, k_2), F_76(x, k_0, k_1, k_2))
Eq(F_76(x, k_0, k_1, k_2), -F_77(x, k_0, k_1, 1) + (-k_1*F_77(x, k_0, k_1, 1) + k_2*F_77(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_77(x, k_0, k_1, k_2), F_78(x, k_0*k_1, k_1, k_2))
Eq(F_78(x, k_0, k_1, k_2), F_79(x, k_0, k_1, k_1*k_2))
Eq(F_79(x, k_0, k_1, k_2), F_105(x, k_0, k_1, k_2) + F_80(x, k_0, k_2))
Eq(F_80(x, k_0, k_1), F_81(x) + F_82(x, k_0, k_1) + F_86(x, k_0, k_1))
Eq(F_81(x), 0)
Eq(F_82(x, k_0, k_1), F_11(x)*F_83(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_84(x, 1, k_0, k_1))
Eq(F_84(x, k_0, k_1, k_2), F_85(x, k_0, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_50(x, k_0, k_1, k_2) + F_85(x, k_0, k_1, k_2))
Eq(F_86(x, k_0, k_1), F_21(x, k_1)*F_87(x, k_0, k_1))
Eq(F_87(x, k_0, k_1), F_80(x, k_0, k_1) + F_88(x, k_0))
Eq(F_88(x, k_0), F_5(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_11(x)*F_91(x, k_0))
Eq(F_91(x, k_0), F_92(x, 1, k_0))
Eq(F_92(x, k_0, k_1), F_29(x, k_0, k_1) + F_93(x, k_0, k_1) + F_95(x, k_0, k_1))
Eq(F_93(x, k_0, k_1), F_11(x)*F_94(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), (k_0*F_92(x, k_0, k_1) - F_92(x, 1, k_1))/(k_0 - 1))
Eq(F_95(x, k_0, k_1), F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_21(x, k_0)*F_97(x, k_0, k_1))
Eq(F_97(x, k_0, k_1), F_98(x, 1, k_0, k_1))
Eq(F_98(x, k_0, k_1, k_2), F_99(x, k_0*k_1, k_1, k_2))
Eq(F_99(x, k_0, k_1, k_2), F_100(x, k_0, k_1, k_2) + F_101(x, k_0, k_1))
Eq(F_100(x, k_0, k_1, k_2), (-k_1*F_17(x, k_0, k_1) + k_2*F_17(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1))
Eq(F_102(x, k_0, k_1), F_103(x, k_0, k_1) + F_80(x, k_0, k_1))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, 1, k_1))
Eq(F_104(x, k_0, k_1, k_2), F_105(x, k_0, k_1*k_2, k_2))
Eq(F_105(x, k_0, k_1, k_2), F_106(x, k_2, k_0, k_1))
Eq(F_107(x, k_0, k_1, k_2), F_106(x, k_0, k_1, k_2) + F_195(x, k_1, k_2))
Eq(F_108(x, k_0, k_1, k_2), F_107(x, k_0, k_1, k_2) + F_112(x, k_0, k_1))
Eq(F_109(x, k_0, k_1, k_2), F_108(x, k_0, k_1, k_2)*F_111(x, k_0))
Eq(F_109(x, k_0, k_1, k_2), F_110(x, k_1, k_2, k_0))
Eq(F_110(x, k_0, k_1, k_2), -F_19(x, k_0, k_1) + (-k_1*F_19(x, k_0, k_1) + k_2*F_19(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_111(x, k_0), k_0*x)
Eq(F_112(x, k_0, k_1), F_113(x, k_1, k_0))
Eq(F_114(x, k_0, k_1), F_113(x, k_0, k_1) + F_175(x, k_0, k_1))
Eq(F_115(x, k_0, k_1), F_114(x, k_0, k_1) + F_185(x, k_0, k_1))
Eq(F_115(x, k_0, k_1), F_116(x, k_0, k_1) + F_175(x, k_0, k_1))
Eq(F_116(x, k_0, k_1), F_117(x, k_0, k_1) + F_12(x, k_0) + F_173(x, k_0, k_1) + F_174(x, k_0, k_1) + F_5(x, k_0))
Eq(F_117(x, k_0, k_1), F_11(x)*F_118(x, k_0, k_1))
Eq(F_118(x, k_0, k_1), F_119(x, 1, k_0, k_1))
Eq(F_120(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2) + F_170(x, k_0, k_1, k_2))
Eq(F_121(x, k_0, k_1, k_2), F_120(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_121(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2))
Eq(F_122(x, k_0, k_1, k_2), F_123(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_123(x, k_0, k_1, k_2), F_124(x, k_0, k_1, k_2) + F_126(x, k_0, k_1, k_2))
Eq(F_125(x, k_0, k_1, k_2), F_124(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_125(x, k_0, k_1, k_2), F_30(x, k_0, k_1, k_2))
Eq(F_126(x, k_0, k_1, k_2), F_127(x, k_0, k_1, k_2))
Eq(F_128(x, k_0, k_1, k_2), F_127(x, k_0, k_1, k_2) + F_168(x, k_0, k_1, k_2))
Eq(F_129(x, k_0, k_1, k_2), F_128(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_129(x, k_0, k_1, k_2), F_130(x, k_0, k_1, k_2))
Eq(F_131(x, k_0, k_1, k_2), F_130(x, k_0, k_1, k_2) + F_137(x, k_0, k_1, k_2))
Eq(F_131(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2) + F_28(x, k_0, k_1, k_2))
Eq(F_132(x, k_0, k_1, k_2), k_2*F_133(x, k_0, k_1, k_2))
Eq(F_133(x, k_0, k_1, k_2), F_134(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1, k_2), F_11(x)*F_135(x, k_0, k_1, k_2))
Eq(F_136(x, k_0, k_1, k_2), F_135(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_136(x, k_0, k_1, k_2), F_30(x, k_0, k_1, k_2))
Eq(F_137(x, k_0, k_1, k_2), (-k_0*F_138(x, k_0, k_2) + k_1*F_138(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_138(x, k_0, k_1), F_1(x) + F_139(x, k_0, k_1) + F_141(x, k_0, k_1) + F_167(x, k_0, k_1))
Eq(F_139(x, k_0, k_1), F_11(x)*F_140(x, k_0, k_1))
Eq(F_140(x, k_0, k_1), (k_0*F_138(x, k_0, k_1) - F_138(x, 1, k_1))/(k_0 - 1))
Eq(F_141(x, k_0, k_1), F_142(x, k_0, k_1)*F_21(x, k_0))
Eq(F_142(x, k_0, k_1), F_143(x, 1, k_0, k_1))
Eq(F_143(x, k_0, k_1, k_2), F_144(x, k_0*k_1, k_1, k_2))
Eq(F_144(x, k_0, k_1, k_2), F_145(x, k_0, k_1, k_2) + F_43(x, k_0, k_1))
Eq(F_145(x, k_0, k_1, k_2), k_2*F_146(x, k_0, k_1))
Eq(F_146(x, k_0, k_1), F_147(x, k_0, k_1) + F_149(x, k_0, k_1) + F_154(x, k_0, k_1) + F_165(x, k_0, k_1) + F_81(x))
Eq(F_147(x, k_0, k_1), F_11(x)*F_148(x, k_0, k_1))
Eq(F_148(x, k_0, k_1), F_133(x, 1, k_0, k_1))
Eq(F_149(x, k_0, k_1), F_150(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0, 1))
Eq(F_151(x, k_0, k_1), F_152(x, k_0, k_1)*F_21(x, k_0))
Eq(F_152(x, k_0, k_1), F_153(x, 1, k_0, k_1))
Eq(F_153(x, k_0, k_1, k_2), F_145(x, k_0*k_1, k_1, k_2))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1))
Eq(F_155(x, k_0, k_1), F_156(x, k_0, k_1)*F_21(x, k_1))
Eq(F_156(x, k_0, k_1), F_155(x, k_0, k_1) + F_157(x, k_0, k_1) + F_165(x, k_0, k_1) + 2*F_81(x))
Eq(F_157(x, k_0, k_1), F_11(x)*F_158(x, k_0, k_1))
Eq(F_158(x, k_0, k_1), F_159(x, 1, k_0, k_1))
Eq(F_159(x, k_0, k_1, k_2), F_160(x, k_0, k_1, k_2))
Eq(F_160(x, k_0, k_1, k_2), F_11(x)*F_161(x, k_0, k_1, k_2))
Eq(F_135(x, k_0, k_1, k_2), F_161(x, k_0, k_1, k_2) + F_162(x, k_0, k_1, k_2))
Eq(F_162(x, k_0, k_1, k_2), F_163(x, k_0, k_1))
Eq(F_164(x, k_0, k_1), F_163(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_164(x, k_0, k_1), (-k_0*F_8(x, k_0) + k_1*F_8(x, k_1))/(-k_0 + k_1))
Eq(F_165(x, k_0, k_1), F_166(x, k_0, k_1, 1))
Eq(F_166(x, k_0, k_1, k_2), F_18(x, k_0, k_1)*F_21(x, k_2))
Eq(F_167(x, k_0, k_1), F_21(x, k_1)*F_5(x, k_0))
Eq(F_168(x, k_0, k_1, k_2), F_135(x, k_0, k_1, k_2) + F_169(x, k_0, k_1, k_2))
Eq(F_124(x, k_0, k_1, k_2), F_169(x, k_0, k_1, k_2) + F_24(x, k_0, k_1, k_2))
Eq(F_171(x, k_0, k_1, k_2), F_170(x, k_0, k_1, k_2) + F_50(x, k_0, k_1, k_2))
Eq(F_172(x, k_0, k_1, k_2), F_171(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_172(x, k_0, k_1, k_2), F_30(x, k_0, k_1, k_2))
Eq(F_173(x, k_0, k_1), F_116(x, k_0, k_1)*F_21(x, k_1))
Eq(F_174(x, k_0, k_1), F_113(x, k_0, k_1)*F_21(x, k_1))
Eq(F_175(x, k_0, k_1), k_1*F_176(x, k_0, k_1))
Eq(F_177(x, k_0, k_1), (-k_1*F_176(x, k_0, k_1) + F_176(x, k_0, 1))/(1 - k_1))
Eq(F_178(x, k_0, k_1), F_177(x, k_0, k_1) + F_181(x, k_0, k_1))
Eq(F_179(x, k_0, k_1), F_178(x, k_0, k_1)*F_21(x, k_1))
Eq(F_179(x, k_0, k_1), F_180(x, k_0, k_1))
Eq(F_180(x, k_0, k_1), -F_44(x, k_0, 1) + (-k_1*F_44(x, k_0, k_1) + F_44(x, k_0, 1))/(1 - k_1))
Eq(F_181(x, k_0, k_1), F_182(x, k_0, k_1, 1))
Eq(F_182(x, k_0, k_1, k_2), (-k_1*k_2*F_183(x, k_0, k_1, k_2) + F_183(x, k_0, k_1, 1/k_1))/(-k_1*k_2 + 1))
Eq(F_183(x, k_0, k_1, k_2), F_184(x, k_0, k_1, k_2) + F_47(x, k_0, k_1*k_2))
Eq(F_184(x, k_0, k_1, k_2), F_80(x, k_0, k_1))
Eq(F_185(x, k_0, k_1), k_1*F_186(x, k_0, k_1))
Eq(F_186(x, k_0, k_1), F_187(x, k_0, k_1))
Eq(F_187(x, k_0, k_1), F_188(x, k_0, k_1, 1))
Eq(F_188(x, k_0, k_1, k_2), F_189(x, k_0, k_1, k_2))
Eq(F_190(x, k_0, k_1, k_2), F_189(x, k_0, k_1, k_2) + F_193(x, k_0, k_1, k_2))
Eq(F_191(x, k_0, k_1, k_2), F_190(x, k_0, k_1, k_2)*F_21(x, k_1))
Eq(F_191(x, k_0, k_1, k_2), F_192(x, k_0, k_1, k_2))
Eq(F_144(x, k_0, k_1, k_2), F_138(x, k_0, k_2) + F_192(x, k_0, k_1, k_2))
Eq(F_193(x, k_0, k_1, k_2), F_194(x, k_0, k_1, k_2) + F_46(x, k_0, k_1))
Eq(F_194(x, k_0, k_1, k_2), k_2*F_176(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_195(x, k_0, k_1) + F_8(x, k_0))
Eq(F_196(x, k_0, k_1, k_2), (-k_0*F_197(x, k_0/k_1, k_1, k_2) + k_1*F_197(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_197(x, k_0, k_1, k_2), F_198(x, k_0*k_1, k_1, k_2))
Eq(F_199(x, k_0, k_1, k_2), F_198(x, k_0, k_1, k_2) + F_202(x, k_0, k_1, k_2))
Eq(F_200(x, k_0, k_1, k_2), F_199(x, k_0, k_1, k_2)*F_21(x, k_1))
Eq(F_200(x, k_0, k_1, k_2), F_201(x, k_0, k_1, k_2))
Eq(F_201(x, k_0, k_1, k_2), -F_44(x, k_0, k_2) + (-k_1*F_44(x, k_0, k_1) + k_2*F_44(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_70(x, k_0, k_1, k_2), F_202(x, k_0*k_1, k_1, k_2))
Eq(F_203(x, k_0, k_1, k_2), F_204(x, k_0, k_1, k_2))
Eq(F_204(x, k_0, k_1, k_2), F_205(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_205(x, k_0, k_1, k_2), (-k_0*F_206(x, k_0, k_2) + k_1*F_206(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_207(x, k_0, k_1), F_206(x, k_0, k_1)*F_21(x, k_1))
Eq(F_207(x, k_0, k_1), F_208(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_208(x, k_0, k_1) + F_209(x, k_0, k_1) + F_211(x, k_0, k_1) + F_43(x, k_0, k_1))
Eq(F_209(x, k_0, k_1), F_11(x)*F_210(x, k_0, k_1))
Eq(F_210(x, k_0, k_1), (k_0*F_60(x, k_0, k_1) - F_60(x, 1, k_1))/(k_0 - 1))
Eq(F_211(x, k_0, k_1), F_212(x, k_0, k_1))
Eq(F_212(x, k_0, k_1), F_21(x, k_0)*F_213(x, k_0, k_1))
Eq(F_213(x, k_0, k_1), F_214(x, 1, k_0, k_1))
Eq(F_214(x, k_0, k_1, k_2), F_199(x, k_0*k_1, k_1, k_2))
Eq(F_215(x, k_0, k_1, k_2), (-k_0*F_216(x, k_0, 1, k_2) + k_1*F_216(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_216(x, k_0, k_1, k_2), F_198(x, k_0, k_0*k_1, k_2))
Eq(F_217(x, k_0, k_1), F_218(x, k_0, k_1))
Eq(F_218(x, k_0, k_1), F_21(x, k_1)*F_219(x, k_0, k_1))
Eq(F_219(x, k_0, k_1), (-k_0*F_220(x, k_0/k_1, k_1) + k_1*F_220(x, 1, k_1))/(-k_0 + k_1))
Eq(F_220(x, k_0, k_1), F_221(x, k_0, k_1, 1))
Eq(F_221(x, k_0, k_1, k_2), F_16(x, k_0*k_1, k_1*k_2))
Eq(F_222(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2)*F_21(x, k_2))
Eq(F_223(x, k_0, k_1), F_80(x, k_0, k_1))
Eq(F_224(x, k_0, k_1, k_2), F_225(x, k_0, k_1, k_2))
Eq(F_225(x, k_0, k_1, k_2), F_21(x, k_1)*F_226(x, k_0, k_1, k_2))
Eq(F_226(x, k_0, k_1, k_2), F_227(x, k_0, k_1, k_2) + F_55(x, k_0, k_1, k_2))
Eq(F_227(x, k_0, k_1, k_2), (-k_0*F_228(x, k_0, 1, k_2) + k_1*F_228(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_228(x, k_0, k_1, k_2), F_229(x, k_0, k_0*k_1, k_2))
Eq(F_229(x, k_0, k_1, k_2), k_2*F_230(x, k_0, k_1))
Eq(F_231(x, k_0, k_1), (-k_1*F_230(x, k_0, k_1) + F_230(x, k_0, 1))/(1 - k_1))
Eq(F_232(x, k_0, k_1), F_231(x, k_0, k_1) + F_235(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), F_11(x)*F_232(x, k_0, k_1))
Eq(F_233(x, k_0, k_1), F_234(x, k_0, k_1))
Eq(F_234(x, k_0, k_1), -F_44(x, k_0, k_1) + (-k_1*F_44(x, k_0, k_1) + F_44(x, k_0, 1))/(1 - k_1))
Eq(F_235(x, k_0, k_1), F_99(x, k_0, k_1, 1))
Eq(F_236(x, k_0, k_1, k_2), F_21(x, k_2)*F_237(x, k_0, k_1, k_2))
Eq(F_237(x, k_0, k_1, k_2), F_238(x, k_2, k_0, k_1))
Eq(F_238(x, k_0, k_1, k_2), F_239(x, k_0, k_1, k_2) + F_92(x, k_1, k_2))
Eq(F_239(x, k_0, k_1, k_2), F_84(x, k_1, k_2, k_0))
Eq(F_240(x, k_0, k_1, k_2), F_11(x)*F_241(x, k_0, k_1, k_2))
Eq(F_241(x, k_0, k_1, k_2), (k_0*F_28(x, k_0, k_1, k_2) - F_28(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_242(x, k_0, k_1, k_2), F_21(x, k_0)*F_40(x, k_0, k_1, k_2))
Eq(F_243(x, k_0, k_1, k_2), F_21(x, k_1)*F_244(x, k_0, k_1, k_2))
Eq(F_244(x, k_0, k_1, k_2), (-k_0*F_143(x, k_0/k_1, k_1, k_2) + k_1*F_143(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_245(x, k_0, k_1, k_2), k_2*F_159(x, k_0, k_1, k_2))
Eq(F_246(x, k_0, k_1, k_2), F_11(x)*F_247(x, k_0, k_1, k_2))
Eq(F_247(x, k_0, k_1, k_2), (k_0*F_24(x, k_0, k_1, k_2) - F_24(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_248(x, k_0, k_1, k_2), F_249(x, k_0, k_1, k_2))
Eq(F_249(x, k_0, k_1, k_2), F_21(x, k_0)*F_250(x, k_0, k_1, k_2))
Eq(F_251(x, k_0, k_1, k_2), F_250(x, k_0, k_1, k_2) + F_255(x, k_0, k_1, k_2))
Eq(F_252(x, k_0, k_1, k_2), F_21(x, k_2)*F_251(x, k_0, k_1, k_2))
Eq(F_252(x, k_0, k_1, k_2), F_253(x, k_0, k_1, k_2))
Eq(F_253(x, k_0, k_1, k_2), (-k_0*F_254(x, k_0, 1, k_2) + k_1*F_254(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_254(x, k_0, k_1, k_2), F_74(x, k_0, k_0*k_1, k_2))
Eq(F_255(x, k_0, k_1, k_2), (-k_0*F_256(x, k_0, 1, k_2) + k_1*F_256(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_256(x, k_0, k_1, k_2), F_257(x, k_0, k_0*k_1, k_2))
Eq(F_257(x, k_0, k_1, k_2), (-k_1*F_258(x, k_0, k_1/k_2, k_2) + k_2*F_258(x, k_0, 1, k_2))/(-k_1 + k_2))
Eq(F_258(x, k_0, k_1, k_2), F_229(x, k_0, k_1*k_2, k_2))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 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, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 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, 1, 3, 4, 2], "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, 3, 1, 2, 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], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "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], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], 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1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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, 0], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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, 0], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 0], [1, 1], [1, 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, 0], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 3, "tracked": true}}]}

Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25340/
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[4,x]*F[80,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[80,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[101,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[4,x]
F[10,x,k[0]] = F[11,x,1,k[0]]
F[11,x,k[0],k[1]] = F[12,x,k[1]]+F[15,x,k[0],k[1]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[8,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0],k[1]] = F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[14,x,k[0]]*F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = -k[1]*(F[18,x,k[0],1]-F[18,x,k[0],k[1]])/(-1+k[1])
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]
F[19,x,k[0],k[1]] = F[14,x,k[1]]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[23,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[14,x,k[1]]*F[21,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[11,x,k[0],k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]+F[98,x,k[0],k[1]]
F[24,x,k[0]] = F[25,x,k[0],1]
F[25,x,k[0],k[1]] = F[26,x,k[0],k[0]*k[1]]
F[26,x,k[0],k[1]] = F[27,x,k[0],k[1]]
F[27,x,k[0],k[1]] = F[14,x,k[0]]*F[28,x,k[0],k[1]]
F[28,x,k[0],k[1]] = F[29,x,k[0],k[1],1]
F[30,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[29,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]+F[97,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[32,x,k[0],k[1],k[2]]+F[81,x,k[0],k[1]]
F[33,x,k[0],k[1],k[2]] = F[34,x,k[1],k[2]]+F[65,x,k[0],k[1],k[2]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[54,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[11,x,k[0],k[1]]+F[36,x,k[0]]
F[36,x,k[0]] = F[0,x]+F[37,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[14,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]+F[41,x,k[0]]
F[40,x,k[0]] = F[35,x,k[0],1]
F[41,x,k[0]] = F[42,x,k[0],1]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[0]*k[1]]
F[43,x,k[0],k[1]] = F[44,x,k[0],k[1],1]
F[44,x,k[0],k[1],k[2]] = F[45,x,k[0],k[1]]+F[50,x,k[0],k[1],k[2]]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[14,x,k[0]]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[48,x,k[0],k[1]]+F[49,x,k[0],k[1]]
F[48,x,k[0],k[1]] = F[36,x,k[1]]+F[45,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[31,x,k[0],k[1],1]
F[50,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]
F[51,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[52,x,k[0],k[1],k[2]]
F[52,x,k[0],k[1],k[2]] = F[26,x,k[0],k[1]]+F[53,x,k[0],k[1],k[2]]
F[53,x,k[0],k[1],k[2]] = (F[50,x,k[0],k[1],k[2]]*k[1]-F[50,x,k[0],1,k[2]])/(-1+k[1])
F[54,x,k[0],k[1]] = F[55,x,k[0],k[1],1]
F[56,x,k[0],k[1],k[2]] = F[55,x,k[0],k[1],k[2]]+F[77,x,k[0],k[1],k[2]]
F[56,x,k[0],k[1],k[2]] = F[57,x,k[0],k[1],k[2]]
F[57,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[58,x,k[0],k[1],k[2]]
F[58,x,k[0],k[1],k[2]] = F[59,x,k[0],k[1]]+F[76,x,k[0],k[1],k[2]]
F[60,x,k[0],k[1]] = F[14,x,k[1]]*F[59,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[61,x,k[0],k[1]]
F[62,x,k[0],k[1]] = F[61,x,k[0],k[1]]+F[75,x,k[0]]
F[62,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[63,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[70,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[65,x,1,k[0],k[1]]
F[65,x,k[0],k[1],k[2]] = F[66,x,k[0],k[1],k[2]]
F[66,x,k[0],k[1],k[2]] = F[67,x,k[0],k[1],k[2]]*F[69,x,k[0]]
F[67,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[68,x,k[0],k[1],k[2]]*k[2]-F[68,x,k[0],k[1],1])
F[68,x,k[0],k[1],k[2]] = F[33,x,k[0],k[1],k[2]]
F[69,x,k[0]] = k[0]*x
F[70,x,k[0],k[1]] = F[71,x,1,k[0],k[1]]
F[71,x,k[0],k[1],k[2]] = F[72,x,k[0],k[1],k[2]]
F[72,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[73,x,k[0],k[1],k[2]]
F[73,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[74,x,k[0],k[1],k[2]]*k[2]-F[74,x,k[0],k[1],1])
F[74,x,k[0],k[1],k[2]] = F[54,x,k[1],k[2]]+F[71,x,k[0],k[1],k[2]]
F[75,x,k[0]] = F[48,x,1,k[0]]
F[76,x,k[0],k[1],k[2]] = (F[56,x,k[0],k[1],k[2]]*k[0]-F[56,x,1,k[1],k[2]])/(-1+k[0])
F[77,x,k[0],k[1],k[2]] = F[78,x,k[0],k[1],k[2]]
F[78,x,k[0],k[1],k[2]] = F[79,x,k[0],k[1],k[2]]*F[80,x]
F[79,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[56,x,k[0],k[1],k[2]]*k[1]-F[56,x,k[0],1,k[2]])
F[80,x] = x
F[81,x,k[0],k[1]] = F[48,x,k[0],k[1]]+F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[83,x,k[1]]+F[95,x,k[0],k[1]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[80,x]*F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]+F[96,x,k[0]]
F[86,x,k[0]] = F[4,x]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[14,x,k[0]]*F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]+F[91,x,k[0]]
F[90,x,k[0]] = F[21,x,k[0],1]
F[91,x,k[0]] = F[24,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0],1]
F[93,x,k[0],k[1]] = (F[94,x,k[0],k[1]]*k[0]*k[1]-F[94,x,k[0],1/k[0]])/(k[0]*k[1]-1)
F[94,x,k[0],k[1]] = F[95,x,k[0],k[0]*k[1]]
F[95,x,k[0],k[1]] = F[50,x,k[0],k[1],1]
F[96,x,k[0]] = (F[83,x,k[0]]*k[0]-F[83,x,1])/(-1+k[0])
F[74,x,k[0],k[1],k[2]] = F[82,x,k[0],k[1]]+F[97,x,k[0],k[1],k[2]]
F[98,x,k[0],k[1]] = F[99,x,k[0],1,k[1]]
F[99,x,k[0],k[1],k[2]] = (F[100,x,k[0],k[1],k[2]]*k[0]*k[1]-F[100,x,k[0],1/k[0],k[2]])/(k[0]*k[1]-1)
F[100,x,k[0],k[1],k[2]] = F[50,x,k[0],k[0]*k[1],k[2]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[14,x,k[0]]
F[103,x,k[0]] = F[104,x,1,k[0]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]+F[148,x,k[0],k[1]]
F[105,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[147,x,k[0],k[1]]
F[106,x,k[0],k[1]] = F[107,x,k[0],k[1]]+F[144,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[108,x,k[0]]+F[143,x,k[0],k[1]]
F[108,x,k[0]] = F[109,x,k[0]]+F[4,x]
F[109,x,k[0]] = F[110,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[113,x,k[0]]
F[112,x,k[0]] = F[106,x,k[0],1]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0],1]
F[115,x,k[0],k[1]] = F[116,x,k[0],k[0]*k[1]]
F[116,x,k[0],k[1]] = F[117,x,k[0],k[1]]
F[117,x,k[0],k[1]] = F[118,x,k[0],k[1]]*F[14,x,k[0]]
F[118,x,k[0],k[1]] = F[119,x,k[0],k[1],1]
F[120,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]*F[80,x]
F[120,x,k[0],k[1],k[2]] = F[121,x,k[0],k[1],k[2]]
F[121,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]+F[129,x,k[0],k[1],k[2]]
F[122,x,k[0],k[1],k[2]] = F[123,x,k[1],k[2]]+F[125,x,k[0],k[1],k[2]]
F[123,x,k[0],k[1]] = F[124,x,k[0],k[1]]
F[124,x,k[0],k[1]] = F[107,x,k[0],k[1]]*F[80,x]
F[125,x,k[0],k[1],k[2]] = F[126,x,k[0],k[1],k[2]]
F[126,x,k[0],k[1],k[2]] = F[127,x,k[0],k[1],k[2]]*F[69,x,k[0]]
F[127,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[128,x,k[0],k[1],k[2]]*k[2]-F[128,x,k[0],k[1],1])
F[128,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]
F[129,x,k[0],k[1],k[2]] = F[130,x,k[0],k[1],k[2]]
F[130,x,k[0],k[1],k[2]] = F[131,x,k[0],k[1],k[2]]*F[80,x]
F[131,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]+F[139,x,k[0],k[1],k[2]]
F[132,x,k[0],k[1],k[2]] = (F[133,x,k[0],k[1],k[2]]*k[1]-F[133,x,k[0],1,k[2]])/(-1+k[1])
F[133,x,k[0],k[1],k[2]] = F[134,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1],k[2]] = F[135,x,k[0],k[1],k[2]]*F[14,x,k[2]]
F[135,x,k[0],k[1],k[2]] = F[136,x,k[0],k[1],k[2]]
F[136,x,k[0],k[1],k[2]] = F[137,x,k[0],k[1],k[2]]+F[138,x,k[0],k[1],k[2]]
F[137,x,k[0],k[1],k[2]] = F[29,x,k[0],k[1],k[2]]
F[138,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]
F[139,x,k[0],k[1],k[2]] = F[140,x,k[0],k[1],k[2]]
F[140,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[141,x,k[0],k[1],k[2]]
F[141,x,k[0],k[1],k[2]] = (F[142,x,k[0],k[1],k[2]]*k[1]-F[142,x,k[0],1,k[2]])/(-1+k[1])
F[142,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]
F[143,x,k[0],k[1]] = (F[11,x,k[0],k[1]]*k[0]-F[11,x,1,k[1]])/(-1+k[0])
F[144,x,k[0],k[1]] = F[145,x,k[0],k[1]]
F[145,x,k[0],k[1]] = F[14,x,k[1]]*F[146,x,k[0],k[1]]
F[146,x,k[0],k[1]] = (F[104,x,k[0],k[1]]*k[0]-F[104,x,1,k[1]])/(-1+k[0])
F[147,x,k[0],k[1]] = F[133,x,k[0],1,k[1]]
F[148,x,k[0],k[1]] = F[149,x,k[0],k[1]]
F[149,x,k[0],k[1]] = F[14,x,k[1]]*F[150,x,k[0],k[1]]
F[150,x,k[0],k[1]] = F[119,x,k[0],1,k[1]]
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_{4}\! \left(x \right) F_{80}\! \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_{7}\! \left(x \right) F_{80}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , 1, y_{0}\right)
F_{11}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{1}\right)+F_{15}\! \left(x , y_{0}, y_{1}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{8}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} x
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{16}\! \left(x , y_{0}, y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{18}\! \left(x , y_{0}, 1\right)-F_{18}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{20}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right)+F_{23}\! \left(x , y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{21}\! \left(x , y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}, y_{1}\right)
F_{24}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}, 1\right)
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{26}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0}, y_{1}\right)
F_{27}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{0}, y_{1}, 1\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{34}\! \left(x , y_{1}, y_{2}\right)+F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{54}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}\right)
F_{36}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{37}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}\right) = F_{38}\! \left(x , y_{0}\right)
F_{38}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{40}\! \left(x , y_{0}\right)+F_{41}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}\right) = F_{35}\! \left(x , y_{0}, 1\right)
F_{41}\! \left(x , y_{0}\right) = F_{42}\! \left(x , y_{0}, 1\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{44}\! \left(x , y_{0}, y_{1}, 1\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{45}\! \left(x , y_{0}, y_{1}\right)+F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{31}\! \left(x , y_{0}, y_{1}, 1\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{26}\! \left(x , y_{0}, y_{1}\right)+F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{50}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{54}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, y_{1}, 1\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{77}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{59}\! \left(x , y_{0}, y_{1}\right)+F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}, y_{1}\right)+F_{75}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{63}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{65}\! \left(x , 1, y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{69}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{68}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}\right) = y_{0} x
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , 1, y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{74}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{1}, y_{2}\right)+F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{75}\! \left(x , y_{0}\right) = F_{48}\! \left(x , 1, y_{0}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{56}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{77}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{56}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{80}\! \left(x \right) = x
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{82}\! \left(x , y_{0}, y_{1}\right) = F_{83}\! \left(x , y_{1}\right)+F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}\right) = F_{84}\! \left(x , y_{0}\right)
F_{84}\! \left(x , y_{0}\right) = F_{80}\! \left(x \right) F_{85}\! \left(x , y_{0}\right)
F_{85}\! \left(x , y_{0}\right) = F_{86}\! \left(x , y_{0}\right)+F_{96}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right)+F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{88}\! \left(x , y_{0}\right)
F_{88}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{89}\! \left(x , y_{0}\right)
F_{89}\! \left(x , y_{0}\right) = F_{90}\! \left(x , y_{0}\right)+F_{91}\! \left(x , y_{0}\right)
F_{90}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}, 1\right)
F_{91}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)+F_{92}\! \left(x , y_{0}\right)
F_{92}\! \left(x , y_{0}\right) = F_{93}\! \left(x , y_{0}, 1\right)
F_{93}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{94}\! \left(x , y_{0}, y_{1}\right) y_{0} y_{1}-F_{94}\! \left(x , y_{0}, \frac{1}{y_{0}}\right)}{y_{0} y_{1}-1}
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{95}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{50}\! \left(x , y_{0}, y_{1}, 1\right)
F_{96}\! \left(x , y_{0}\right) = -\frac{-F_{83}\! \left(x , y_{0}\right) y_{0}+F_{83}\! \left(x , 1\right)}{-1+y_{0}}
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{82}\! \left(x , y_{0}, y_{1}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{98}\! \left(x , y_{0}, y_{1}\right) = F_{99}\! \left(x , y_{0}, 1, y_{1}\right)
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0} y_{1}-F_{100}\! \left(x , y_{0}, \frac{1}{y_{0}}, y_{2}\right)}{y_{0} y_{1}-1}
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{50}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}\right) = F_{104}\! \left(x , 1, y_{0}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)+F_{148}\! \left(x , y_{0}, y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{147}\! \left(x , y_{0}, y_{1}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right)+F_{144}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}\right)+F_{143}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}\right) = F_{109}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{109}\! \left(x , y_{0}\right) = F_{110}\! \left(x , y_{0}\right)
F_{110}\! \left(x , y_{0}\right) = F_{111}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}\right) = F_{112}\! \left(x , y_{0}\right)+F_{113}\! \left(x , y_{0}\right)
F_{112}\! \left(x , y_{0}\right) = F_{106}\! \left(x , y_{0}, 1\right)
F_{113}\! \left(x , y_{0}\right) = F_{114}\! \left(x , y_{0}\right)
F_{114}\! \left(x , y_{0}\right) = F_{115}\! \left(x , y_{0}, 1\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{116}\! \left(x , y_{0}, y_{1}\right) = F_{117}\! \left(x , y_{0}, y_{1}\right)
F_{117}\! \left(x , y_{0}, y_{1}\right) = F_{118}\! \left(x , y_{0}, y_{1}\right) F_{14}\! \left(x , y_{0}\right)
F_{118}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , y_{0}, y_{1}, 1\right)
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{123}\! \left(x , y_{1}, y_{2}\right)+F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{124}\! \left(x , y_{0}, y_{1}\right)
F_{124}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right) F_{80}\! \left(x \right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{69}\! \left(x , y_{0}\right)
F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{128}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{133}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{2}\right)
F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{140}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{140}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{141}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{141}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{142}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{142}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{142}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{11}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{11}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{144}\! \left(x , y_{0}, y_{1}\right) = F_{145}\! \left(x , y_{0}, y_{1}\right)
F_{145}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{146}\! \left(x , y_{0}, y_{1}\right)
F_{146}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{104}\! \left(x , y_{0}, y_{1}\right)+F_{104}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{147}\! \left(x , y_{0}, y_{1}\right) = F_{133}\! \left(x , y_{0}, 1, y_{1}\right)
F_{148}\! \left(x , y_{0}, y_{1}\right) = F_{149}\! \left(x , y_{0}, y_{1}\right)
F_{149}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{150}\! \left(x , y_{0}, y_{1}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , y_{0}, 1, y_{1}\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_4(x)*F_80(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_7(x)*F_80(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_101(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_4(x))
Eq(F_10(x, k_0), F_11(x, 1, k_0))
Eq(F_11(x, k_0, k_1), F_12(x, k_1) + F_15(x, k_0, k_1))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_8(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_14(x, k_0)*F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), -F_18(x, k_0, 1) + (k_1*F_18(x, k_0, k_1) - F_18(x, k_0, 1))/(k_1 - 1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1))
Eq(F_19(x, k_0, k_1), F_14(x, k_1)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_23(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_14(x, k_1)*F_21(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_11(x, k_0, k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0) + F_98(x, k_0, k_1))
Eq(F_24(x, k_0), F_25(x, k_0, 1))
Eq(F_25(x, k_0, k_1), F_26(x, k_0, k_0*k_1))
Eq(F_26(x, k_0, k_1), F_27(x, k_0, k_1))
Eq(F_27(x, k_0, k_1), F_14(x, k_0)*F_28(x, k_0, k_1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0, k_1, 1))
Eq(F_30(x, k_0, k_1, k_2), F_14(x, k_2)*F_29(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2) + F_97(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_32(x, k_0, k_1, k_2) + F_81(x, k_0, k_1))
Eq(F_33(x, k_0, k_1, k_2), F_34(x, k_1, k_2) + F_65(x, k_0, k_1, k_2))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_1) + F_54(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_11(x, k_0, k_1) + F_36(x, k_0))
Eq(F_36(x, k_0), F_0(x) + F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_14(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_41(x, k_0))
Eq(F_40(x, k_0), F_35(x, k_0, 1))
Eq(F_41(x, k_0), F_42(x, k_0, 1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_0*k_1))
Eq(F_43(x, k_0, k_1), F_44(x, k_0, k_1, 1))
Eq(F_44(x, k_0, k_1, k_2), F_45(x, k_0, k_1) + F_50(x, k_0, k_1, k_2))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_14(x, k_0)*F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_48(x, k_0, k_1) + F_49(x, k_0, k_1))
Eq(F_48(x, k_0, k_1), F_36(x, k_1) + F_45(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_31(x, k_0, k_1, 1))
Eq(F_50(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2))
Eq(F_51(x, k_0, k_1, k_2), F_14(x, k_2)*F_52(x, k_0, k_1, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_26(x, k_0, k_1) + F_53(x, k_0, k_1, k_2))
Eq(F_53(x, k_0, k_1, k_2), (-k_1*F_50(x, k_0, k_1, k_2) + F_50(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_54(x, k_0, k_1), F_55(x, k_0, k_1, 1))
Eq(F_56(x, k_0, k_1, k_2), F_55(x, k_0, k_1, k_2) + F_77(x, k_0, k_1, k_2))
Eq(F_56(x, k_0, k_1, k_2), F_57(x, k_0, k_1, k_2))
Eq(F_57(x, k_0, k_1, k_2), F_14(x, k_2)*F_58(x, k_0, k_1, k_2))
Eq(F_58(x, k_0, k_1, k_2), F_59(x, k_0, k_1) + F_76(x, k_0, k_1, k_2))
Eq(F_60(x, k_0, k_1), F_14(x, k_1)*F_59(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_61(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), F_61(x, k_0, k_1) + F_75(x, k_0))
Eq(F_62(x, k_0, k_1), F_35(x, k_0, k_1) + F_63(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_63(x, k_0, k_1) + F_70(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_65(x, 1, k_0, k_1))
Eq(F_65(x, k_0, k_1, k_2), F_66(x, k_0, k_1, k_2))
Eq(F_66(x, k_0, k_1, k_2), F_67(x, k_0, k_1, k_2)*F_69(x, k_0))
Eq(F_67(x, k_0, k_1, k_2), (k_2*F_68(x, k_0, k_1, k_2) - F_68(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_68(x, k_0, k_1, k_2), F_33(x, k_0, k_1, k_2))
Eq(F_69(x, k_0), k_0*x)
Eq(F_70(x, k_0, k_1), F_71(x, 1, k_0, k_1))
Eq(F_71(x, k_0, k_1, k_2), F_72(x, k_0, k_1, k_2))
Eq(F_72(x, k_0, k_1, k_2), F_14(x, k_0)*F_73(x, k_0, k_1, k_2))
Eq(F_73(x, k_0, k_1, k_2), (k_2*F_74(x, k_0, k_1, k_2) - F_74(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_74(x, k_0, k_1, k_2), F_54(x, k_1, k_2) + F_71(x, k_0, k_1, k_2))
Eq(F_75(x, k_0), F_48(x, 1, k_0))
Eq(F_76(x, k_0, k_1, k_2), (-k_0*F_56(x, k_0, k_1, k_2) + F_56(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_77(x, k_0, k_1, k_2), F_78(x, k_0, k_1, k_2))
Eq(F_78(x, k_0, k_1, k_2), F_79(x, k_0, k_1, k_2)*F_80(x))
Eq(F_79(x, k_0, k_1, k_2), (k_1*F_56(x, k_0, k_1, k_2) - F_56(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_80(x), x)
Eq(F_81(x, k_0, k_1), F_48(x, k_0, k_1) + F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_83(x, k_1) + F_95(x, k_0, k_1))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_80(x)*F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0) + F_96(x, k_0))
Eq(F_86(x, k_0), F_4(x) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_14(x, k_0)*F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0) + F_91(x, k_0))
Eq(F_90(x, k_0), F_21(x, k_0, 1))
Eq(F_91(x, k_0), F_24(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0, 1))
Eq(F_93(x, k_0, k_1), (-k_0*k_1*F_94(x, k_0, k_1) + F_94(x, k_0, 1/k_0))/(-k_0*k_1 + 1))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_0*k_1))
Eq(F_95(x, k_0, k_1), F_50(x, k_0, k_1, 1))
Eq(F_96(x, k_0), (-k_0*F_83(x, k_0) + F_83(x, 1))/(1 - k_0))
Eq(F_74(x, k_0, k_1, k_2), F_82(x, k_0, k_1) + F_97(x, k_0, k_1, k_2))
Eq(F_98(x, k_0, k_1), F_99(x, k_0, 1, k_1))
Eq(F_99(x, k_0, k_1, k_2), (-k_0*k_1*F_100(x, k_0, k_1, k_2) + F_100(x, k_0, 1/k_0, k_2))/(-k_0*k_1 + 1))
Eq(F_100(x, k_0, k_1, k_2), F_50(x, k_0, k_0*k_1, k_2))
Eq(F_101(x, k_0), F_102(x, k_0))
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, 1, k_0))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1) + F_148(x, k_0, k_1))
Eq(F_105(x, k_0, k_1), F_106(x, k_0, k_1) + F_147(x, k_0, k_1))
Eq(F_106(x, k_0, k_1), F_107(x, k_0, k_1) + F_144(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_108(x, k_0) + F_143(x, k_0, k_1))
Eq(F_108(x, k_0), F_109(x, k_0) + F_4(x))
Eq(F_109(x, k_0), F_110(x, k_0))
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_106(x, k_0, 1))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0, 1))
Eq(F_115(x, k_0, k_1), F_116(x, k_0, k_0*k_1))
Eq(F_116(x, k_0, k_1), F_117(x, k_0, k_1))
Eq(F_117(x, k_0, k_1), F_118(x, k_0, k_1)*F_14(x, k_0))
Eq(F_118(x, k_0, k_1), F_119(x, k_0, k_1, 1))
Eq(F_120(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2)*F_80(x))
Eq(F_120(x, k_0, k_1, k_2), F_121(x, k_0, k_1, k_2))
Eq(F_121(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2) + F_129(x, k_0, k_1, k_2))
Eq(F_122(x, k_0, k_1, k_2), F_123(x, k_1, k_2) + F_125(x, k_0, k_1, k_2))
Eq(F_123(x, k_0, k_1), F_124(x, k_0, k_1))
Eq(F_124(x, k_0, k_1), F_107(x, k_0, k_1)*F_80(x))
Eq(F_125(x, k_0, k_1, k_2), F_126(x, k_0, k_1, k_2))
Eq(F_126(x, k_0, k_1, k_2), F_127(x, k_0, k_1, k_2)*F_69(x, k_0))
Eq(F_127(x, k_0, k_1, k_2), (k_2*F_128(x, k_0, k_1, k_2) - F_128(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_128(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2))
Eq(F_129(x, k_0, k_1, k_2), F_130(x, k_0, k_1, k_2))
Eq(F_130(x, k_0, k_1, k_2), F_131(x, k_0, k_1, k_2)*F_80(x))
Eq(F_131(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2) + F_139(x, k_0, k_1, k_2))
Eq(F_132(x, k_0, k_1, k_2), (-k_1*F_133(x, k_0, k_1, k_2) + F_133(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_133(x, k_0, k_1, k_2), F_134(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1, k_2), F_135(x, k_0, k_1, k_2)*F_14(x, k_2))
Eq(F_135(x, k_0, k_1, k_2), F_136(x, k_0, k_1, k_2))
Eq(F_136(x, k_0, k_1, k_2), F_137(x, k_0, k_1, k_2) + F_138(x, k_0, k_1, k_2))
Eq(F_137(x, k_0, k_1, k_2), F_29(x, k_0, k_1, k_2))
Eq(F_138(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2))
Eq(F_139(x, k_0, k_1, k_2), F_140(x, k_0, k_1, k_2))
Eq(F_140(x, k_0, k_1, k_2), F_14(x, k_2)*F_141(x, k_0, k_1, k_2))
Eq(F_141(x, k_0, k_1, k_2), (-k_1*F_142(x, k_0, k_1, k_2) + F_142(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_142(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2))
Eq(F_143(x, k_0, k_1), (-k_0*F_11(x, k_0, k_1) + F_11(x, 1, k_1))/(1 - k_0))
Eq(F_144(x, k_0, k_1), F_145(x, k_0, k_1))
Eq(F_145(x, k_0, k_1), F_14(x, k_1)*F_146(x, k_0, k_1))
Eq(F_146(x, k_0, k_1), (-k_0*F_104(x, k_0, k_1) + F_104(x, 1, k_1))/(1 - k_0))
Eq(F_147(x, k_0, k_1), F_133(x, k_0, 1, k_1))
Eq(F_148(x, k_0, k_1), F_149(x, k_0, k_1))
Eq(F_149(x, k_0, k_1), F_14(x, k_1)*F_150(x, k_0, k_1))
Eq(F_150(x, k_0, k_1), F_119(x, k_0, 1, k_1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 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, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 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, 1, 3, 4, 2], "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, 3, 1, 2, 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, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": 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1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 3]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 1], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": 1, "col_idx": null, "tracked": true}}]}

Specification 3
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25802/
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[4,x]*F[80,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[80,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[101,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[4,x]
F[10,x,k[0]] = F[11,x,1,k[0]]
F[11,x,k[0],k[1]] = F[12,x,k[1]]+F[15,x,k[0],k[1]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[8,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0],k[1]] = F[16,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[14,x,k[0]]*F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = -k[1]*(F[18,x,k[0],1]-F[18,x,k[0],k[1]])/(-1+k[1])
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]
F[19,x,k[0],k[1]] = F[14,x,k[1]]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[23,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[14,x,k[1]]*F[21,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[11,x,k[0],k[1]]
F[23,x,k[0],k[1]] = F[24,x,k[0]]+F[98,x,k[0],k[1]]
F[24,x,k[0]] = F[25,x,k[0],1]
F[25,x,k[0],k[1]] = F[26,x,k[0],k[0]*k[1]]
F[26,x,k[0],k[1]] = F[27,x,k[0],k[1]]
F[27,x,k[0],k[1]] = F[14,x,k[0]]*F[28,x,k[0],k[1]]
F[28,x,k[0],k[1]] = F[29,x,k[0],k[1],1]
F[30,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[29,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]+F[97,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[32,x,k[0],k[1],k[2]]+F[81,x,k[0],k[1]]
F[33,x,k[0],k[1],k[2]] = F[34,x,k[1],k[2]]+F[65,x,k[0],k[1],k[2]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[54,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[11,x,k[0],k[1]]+F[36,x,k[0]]
F[36,x,k[0]] = F[0,x]+F[37,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[14,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]+F[41,x,k[0]]
F[40,x,k[0]] = F[35,x,k[0],1]
F[41,x,k[0]] = F[42,x,k[0],1]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[0]*k[1]]
F[43,x,k[0],k[1]] = F[44,x,k[0],k[1],1]
F[44,x,k[0],k[1],k[2]] = F[45,x,k[0],k[1]]+F[50,x,k[0],k[1],k[2]]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[14,x,k[0]]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[48,x,k[0],k[1]]+F[49,x,k[0],k[1]]
F[48,x,k[0],k[1]] = F[36,x,k[1]]+F[45,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[31,x,k[0],k[1],1]
F[50,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]
F[51,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[52,x,k[0],k[1],k[2]]
F[52,x,k[0],k[1],k[2]] = F[26,x,k[0],k[1]]+F[53,x,k[0],k[1],k[2]]
F[53,x,k[0],k[1],k[2]] = (F[50,x,k[0],k[1],k[2]]*k[1]-F[50,x,k[0],1,k[2]])/(-1+k[1])
F[54,x,k[0],k[1]] = F[55,x,k[0],k[1],1]
F[56,x,k[0],k[1],k[2]] = F[55,x,k[0],k[1],k[2]]+F[77,x,k[0],k[1],k[2]]
F[56,x,k[0],k[1],k[2]] = F[57,x,k[0],k[1],k[2]]
F[57,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[58,x,k[0],k[1],k[2]]
F[58,x,k[0],k[1],k[2]] = F[59,x,k[0],k[1]]+F[76,x,k[0],k[1],k[2]]
F[60,x,k[0],k[1]] = F[14,x,k[1]]*F[59,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[61,x,k[0],k[1]]
F[62,x,k[0],k[1]] = F[61,x,k[0],k[1]]+F[75,x,k[0]]
F[62,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[63,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[70,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[65,x,1,k[0],k[1]]
F[65,x,k[0],k[1],k[2]] = F[66,x,k[0],k[1],k[2]]
F[66,x,k[0],k[1],k[2]] = F[67,x,k[0],k[1],k[2]]*F[69,x,k[0]]
F[67,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[68,x,k[0],k[1],k[2]]*k[2]-F[68,x,k[0],k[1],1])
F[68,x,k[0],k[1],k[2]] = F[33,x,k[0],k[1],k[2]]
F[69,x,k[0]] = k[0]*x
F[70,x,k[0],k[1]] = F[71,x,1,k[0],k[1]]
F[71,x,k[0],k[1],k[2]] = F[72,x,k[0],k[1],k[2]]
F[72,x,k[0],k[1],k[2]] = F[14,x,k[0]]*F[73,x,k[0],k[1],k[2]]
F[73,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[74,x,k[0],k[1],k[2]]*k[2]-F[74,x,k[0],k[1],1])
F[74,x,k[0],k[1],k[2]] = F[54,x,k[1],k[2]]+F[71,x,k[0],k[1],k[2]]
F[75,x,k[0]] = F[48,x,1,k[0]]
F[76,x,k[0],k[1],k[2]] = (F[56,x,k[0],k[1],k[2]]*k[0]-F[56,x,1,k[1],k[2]])/(-1+k[0])
F[77,x,k[0],k[1],k[2]] = F[78,x,k[0],k[1],k[2]]
F[78,x,k[0],k[1],k[2]] = F[79,x,k[0],k[1],k[2]]*F[80,x]
F[79,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[56,x,k[0],k[1],k[2]]*k[1]-F[56,x,k[0],1,k[2]])
F[80,x] = x
F[81,x,k[0],k[1]] = F[48,x,k[0],k[1]]+F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[83,x,k[1]]+F[95,x,k[0],k[1]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[80,x]*F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]+F[96,x,k[0]]
F[86,x,k[0]] = F[4,x]+F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[14,x,k[0]]*F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]+F[91,x,k[0]]
F[90,x,k[0]] = F[21,x,k[0],1]
F[91,x,k[0]] = F[24,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0],1]
F[93,x,k[0],k[1]] = (F[94,x,k[0],k[1]]*k[0]*k[1]-F[94,x,k[0],1/k[0]])/(k[0]*k[1]-1)
F[94,x,k[0],k[1]] = F[95,x,k[0],k[0]*k[1]]
F[95,x,k[0],k[1]] = F[50,x,k[0],k[1],1]
F[96,x,k[0]] = (F[83,x,k[0]]*k[0]-F[83,x,1])/(-1+k[0])
F[74,x,k[0],k[1],k[2]] = F[82,x,k[0],k[1]]+F[97,x,k[0],k[1],k[2]]
F[98,x,k[0],k[1]] = F[99,x,k[0],1,k[1]]
F[99,x,k[0],k[1],k[2]] = (F[100,x,k[0],k[1],k[2]]*k[0]*k[1]-F[100,x,k[0],1/k[0],k[2]])/(k[0]*k[1]-1)
F[100,x,k[0],k[1],k[2]] = F[50,x,k[0],k[0]*k[1],k[2]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[14,x,k[0]]
F[103,x,k[0]] = F[104,x,1,k[0]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]+F[148,x,k[0],k[1]]
F[105,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[147,x,k[0],k[1]]
F[106,x,k[0],k[1]] = F[107,x,k[0],k[1]]+F[144,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[108,x,k[0]]+F[143,x,k[0],k[1]]
F[108,x,k[0]] = F[109,x,k[0]]+F[4,x]
F[109,x,k[0]] = F[110,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[113,x,k[0]]
F[112,x,k[0]] = F[106,x,k[0],1]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0],1]
F[115,x,k[0],k[1]] = F[116,x,k[0],k[0]*k[1]]
F[116,x,k[0],k[1]] = F[117,x,k[0],k[1]]
F[117,x,k[0],k[1]] = F[118,x,k[0],k[1]]*F[14,x,k[0]]
F[118,x,k[0],k[1]] = F[119,x,k[0],k[1],1]
F[120,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]*F[80,x]
F[120,x,k[0],k[1],k[2]] = F[121,x,k[0],k[1],k[2]]
F[121,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]+F[129,x,k[0],k[1],k[2]]
F[122,x,k[0],k[1],k[2]] = F[123,x,k[1],k[2]]+F[125,x,k[0],k[1],k[2]]
F[123,x,k[0],k[1]] = F[124,x,k[0],k[1]]
F[124,x,k[0],k[1]] = F[107,x,k[0],k[1]]*F[80,x]
F[125,x,k[0],k[1],k[2]] = F[126,x,k[0],k[1],k[2]]
F[126,x,k[0],k[1],k[2]] = F[127,x,k[0],k[1],k[2]]*F[69,x,k[0]]
F[127,x,k[0],k[1],k[2]] = 1/(-1+k[2])*(F[128,x,k[0],k[1],k[2]]*k[2]-F[128,x,k[0],k[1],1])
F[128,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]
F[129,x,k[0],k[1],k[2]] = F[130,x,k[0],k[1],k[2]]
F[130,x,k[0],k[1],k[2]] = F[131,x,k[0],k[1],k[2]]*F[80,x]
F[131,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]+F[139,x,k[0],k[1],k[2]]
F[132,x,k[0],k[1],k[2]] = (F[133,x,k[0],k[1],k[2]]*k[1]-F[133,x,k[0],1,k[2]])/(-1+k[1])
F[133,x,k[0],k[1],k[2]] = F[134,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1],k[2]] = F[135,x,k[0],k[1],k[2]]*F[14,x,k[2]]
F[135,x,k[0],k[1],k[2]] = F[136,x,k[0],k[1],k[2]]
F[136,x,k[0],k[1],k[2]] = F[137,x,k[0],k[1],k[2]]+F[138,x,k[0],k[1],k[2]]
F[137,x,k[0],k[1],k[2]] = F[29,x,k[0],k[1],k[2]]
F[138,x,k[0],k[1],k[2]] = F[132,x,k[0],k[1],k[2]]
F[139,x,k[0],k[1],k[2]] = F[140,x,k[0],k[1],k[2]]
F[140,x,k[0],k[1],k[2]] = F[14,x,k[2]]*F[141,x,k[0],k[1],k[2]]
F[141,x,k[0],k[1],k[2]] = (F[142,x,k[0],k[1],k[2]]*k[1]-F[142,x,k[0],1,k[2]])/(-1+k[1])
F[142,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]
F[143,x,k[0],k[1]] = (F[11,x,k[0],k[1]]*k[0]-F[11,x,1,k[1]])/(-1+k[0])
F[144,x,k[0],k[1]] = F[145,x,k[0],k[1]]
F[145,x,k[0],k[1]] = F[14,x,k[1]]*F[146,x,k[0],k[1]]
F[146,x,k[0],k[1]] = (F[104,x,k[0],k[1]]*k[0]-F[104,x,1,k[1]])/(-1+k[0])
F[147,x,k[0],k[1]] = F[133,x,k[0],1,k[1]]
F[148,x,k[0],k[1]] = F[149,x,k[0],k[1]]
F[149,x,k[0],k[1]] = F[14,x,k[1]]*F[150,x,k[0],k[1]]
F[150,x,k[0],k[1]] = F[119,x,k[0],1,k[1]]
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_{4}\! \left(x \right) F_{80}\! \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_{7}\! \left(x \right) F_{80}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , 1, y_{0}\right)
F_{11}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{1}\right)+F_{15}\! \left(x , y_{0}, y_{1}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{8}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} x
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{16}\! \left(x , y_{0}, y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{18}\! \left(x , y_{0}, 1\right)-F_{18}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{20}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right)+F_{23}\! \left(x , y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{21}\! \left(x , y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}, y_{1}\right)
F_{24}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}, 1\right)
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{26}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0}, y_{1}\right)
F_{27}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{0}, y_{1}, 1\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{34}\! \left(x , y_{1}, y_{2}\right)+F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{54}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}\right)
F_{36}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{37}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}\right) = F_{38}\! \left(x , y_{0}\right)
F_{38}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{40}\! \left(x , y_{0}\right)+F_{41}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}\right) = F_{35}\! \left(x , y_{0}, 1\right)
F_{41}\! \left(x , y_{0}\right) = F_{42}\! \left(x , y_{0}, 1\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{44}\! \left(x , y_{0}, y_{1}, 1\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{45}\! \left(x , y_{0}, y_{1}\right)+F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}\right) F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{31}\! \left(x , y_{0}, y_{1}, 1\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{26}\! \left(x , y_{0}, y_{1}\right)+F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{50}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{54}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, y_{1}, 1\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{55}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{77}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{57}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{58}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{59}\! \left(x , y_{0}, y_{1}\right)+F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}, y_{1}\right)+F_{75}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{63}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{65}\! \left(x , 1, y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{66}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{69}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{68}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}\right) = y_{0} x
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , 1, y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{73}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{74}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{1}, y_{2}\right)+F_{71}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{75}\! \left(x , y_{0}\right) = F_{48}\! \left(x , 1, y_{0}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{56}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{77}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{56}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{56}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{80}\! \left(x \right) = x
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{82}\! \left(x , y_{0}, y_{1}\right) = F_{83}\! \left(x , y_{1}\right)+F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}\right) = F_{84}\! \left(x , y_{0}\right)
F_{84}\! \left(x , y_{0}\right) = F_{80}\! \left(x \right) F_{85}\! \left(x , y_{0}\right)
F_{85}\! \left(x , y_{0}\right) = F_{86}\! \left(x , y_{0}\right)+F_{96}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right)+F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{88}\! \left(x , y_{0}\right)
F_{88}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{89}\! \left(x , y_{0}\right)
F_{89}\! \left(x , y_{0}\right) = F_{90}\! \left(x , y_{0}\right)+F_{91}\! \left(x , y_{0}\right)
F_{90}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}, 1\right)
F_{91}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)+F_{92}\! \left(x , y_{0}\right)
F_{92}\! \left(x , y_{0}\right) = F_{93}\! \left(x , y_{0}, 1\right)
F_{93}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{94}\! \left(x , y_{0}, y_{1}\right) y_{0} y_{1}-F_{94}\! \left(x , y_{0}, \frac{1}{y_{0}}\right)}{y_{0} y_{1}-1}
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{95}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{50}\! \left(x , y_{0}, y_{1}, 1\right)
F_{96}\! \left(x , y_{0}\right) = -\frac{-F_{83}\! \left(x , y_{0}\right) y_{0}+F_{83}\! \left(x , 1\right)}{-1+y_{0}}
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{82}\! \left(x , y_{0}, y_{1}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{98}\! \left(x , y_{0}, y_{1}\right) = F_{99}\! \left(x , y_{0}, 1, y_{1}\right)
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0} y_{1}-F_{100}\! \left(x , y_{0}, \frac{1}{y_{0}}, y_{2}\right)}{y_{0} y_{1}-1}
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{50}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}\right) = F_{104}\! \left(x , 1, y_{0}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)+F_{148}\! \left(x , y_{0}, y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{147}\! \left(x , y_{0}, y_{1}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right)+F_{144}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}\right)+F_{143}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}\right) = F_{109}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{109}\! \left(x , y_{0}\right) = F_{110}\! \left(x , y_{0}\right)
F_{110}\! \left(x , y_{0}\right) = F_{111}\! \left(x , y_{0}\right) F_{14}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}\right) = F_{112}\! \left(x , y_{0}\right)+F_{113}\! \left(x , y_{0}\right)
F_{112}\! \left(x , y_{0}\right) = F_{106}\! \left(x , y_{0}, 1\right)
F_{113}\! \left(x , y_{0}\right) = F_{114}\! \left(x , y_{0}\right)
F_{114}\! \left(x , y_{0}\right) = F_{115}\! \left(x , y_{0}, 1\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{116}\! \left(x , y_{0}, y_{1}\right) = F_{117}\! \left(x , y_{0}, y_{1}\right)
F_{117}\! \left(x , y_{0}, y_{1}\right) = F_{118}\! \left(x , y_{0}, y_{1}\right) F_{14}\! \left(x , y_{0}\right)
F_{118}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , y_{0}, y_{1}, 1\right)
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{120}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{121}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{123}\! \left(x , y_{1}, y_{2}\right)+F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{124}\! \left(x , y_{0}, y_{1}\right)
F_{124}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right) F_{80}\! \left(x \right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{69}\! \left(x , y_{0}\right)
F_{127}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}+F_{128}\! \left(x , y_{0}, y_{1}, 1\right)}{-1+y_{2}}
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{80}\! \left(x \right)
F_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{133}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{14}\! \left(x , y_{2}\right)
F_{135}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{136}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{137}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{138}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{139}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{140}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{140}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{14}\! \left(x , y_{2}\right) F_{141}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{141}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{142}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{142}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{142}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{11}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{11}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{144}\! \left(x , y_{0}, y_{1}\right) = F_{145}\! \left(x , y_{0}, y_{1}\right)
F_{145}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{146}\! \left(x , y_{0}, y_{1}\right)
F_{146}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{104}\! \left(x , y_{0}, y_{1}\right)+F_{104}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{147}\! \left(x , y_{0}, y_{1}\right) = F_{133}\! \left(x , y_{0}, 1, y_{1}\right)
F_{148}\! \left(x , y_{0}, y_{1}\right) = F_{149}\! \left(x , y_{0}, y_{1}\right)
F_{149}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{150}\! \left(x , y_{0}, y_{1}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , y_{0}, 1, y_{1}\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_4(x)*F_80(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_7(x)*F_80(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_101(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_4(x))
Eq(F_10(x, k_0), F_11(x, 1, k_0))
Eq(F_11(x, k_0, k_1), F_12(x, k_1) + F_15(x, k_0, k_1))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_8(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_14(x, k_0)*F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), -F_18(x, k_0, 1) + (k_1*F_18(x, k_0, k_1) - F_18(x, k_0, 1))/(k_1 - 1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1))
Eq(F_19(x, k_0, k_1), F_14(x, k_1)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_23(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_14(x, k_1)*F_21(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_11(x, k_0, k_1))
Eq(F_23(x, k_0, k_1), F_24(x, k_0) + F_98(x, k_0, k_1))
Eq(F_24(x, k_0), F_25(x, k_0, 1))
Eq(F_25(x, k_0, k_1), F_26(x, k_0, k_0*k_1))
Eq(F_26(x, k_0, k_1), F_27(x, k_0, k_1))
Eq(F_27(x, k_0, k_1), F_14(x, k_0)*F_28(x, k_0, k_1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0, k_1, 1))
Eq(F_30(x, k_0, k_1, k_2), F_14(x, k_2)*F_29(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2) + F_97(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_32(x, k_0, k_1, k_2) + F_81(x, k_0, k_1))
Eq(F_33(x, k_0, k_1, k_2), F_34(x, k_1, k_2) + F_65(x, k_0, k_1, k_2))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_1) + F_54(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_11(x, k_0, k_1) + F_36(x, k_0))
Eq(F_36(x, k_0), F_0(x) + F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_14(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_41(x, k_0))
Eq(F_40(x, k_0), F_35(x, k_0, 1))
Eq(F_41(x, k_0), F_42(x, k_0, 1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_0*k_1))
Eq(F_43(x, k_0, k_1), F_44(x, k_0, k_1, 1))
Eq(F_44(x, k_0, k_1, k_2), F_45(x, k_0, k_1) + F_50(x, k_0, k_1, k_2))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_14(x, k_0)*F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_48(x, k_0, k_1) + F_49(x, k_0, k_1))
Eq(F_48(x, k_0, k_1), F_36(x, k_1) + F_45(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_31(x, k_0, k_1, 1))
Eq(F_50(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2))
Eq(F_51(x, k_0, k_1, k_2), F_14(x, k_2)*F_52(x, k_0, k_1, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_26(x, k_0, k_1) + F_53(x, k_0, k_1, k_2))
Eq(F_53(x, k_0, k_1, k_2), (-k_1*F_50(x, k_0, k_1, k_2) + F_50(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_54(x, k_0, k_1), F_55(x, k_0, k_1, 1))
Eq(F_56(x, k_0, k_1, k_2), F_55(x, k_0, k_1, k_2) + F_77(x, k_0, k_1, k_2))
Eq(F_56(x, k_0, k_1, k_2), F_57(x, k_0, k_1, k_2))
Eq(F_57(x, k_0, k_1, k_2), F_14(x, k_2)*F_58(x, k_0, k_1, k_2))
Eq(F_58(x, k_0, k_1, k_2), F_59(x, k_0, k_1) + F_76(x, k_0, k_1, k_2))
Eq(F_60(x, k_0, k_1), F_14(x, k_1)*F_59(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_61(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), F_61(x, k_0, k_1) + F_75(x, k_0))
Eq(F_62(x, k_0, k_1), F_35(x, k_0, k_1) + F_63(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_63(x, k_0, k_1) + F_70(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_65(x, 1, k_0, k_1))
Eq(F_65(x, k_0, k_1, k_2), F_66(x, k_0, k_1, k_2))
Eq(F_66(x, k_0, k_1, k_2), F_67(x, k_0, k_1, k_2)*F_69(x, k_0))
Eq(F_67(x, k_0, k_1, k_2), (k_2*F_68(x, k_0, k_1, k_2) - F_68(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_68(x, k_0, k_1, k_2), F_33(x, k_0, k_1, k_2))
Eq(F_69(x, k_0), k_0*x)
Eq(F_70(x, k_0, k_1), F_71(x, 1, k_0, k_1))
Eq(F_71(x, k_0, k_1, k_2), F_72(x, k_0, k_1, k_2))
Eq(F_72(x, k_0, k_1, k_2), F_14(x, k_0)*F_73(x, k_0, k_1, k_2))
Eq(F_73(x, k_0, k_1, k_2), (k_2*F_74(x, k_0, k_1, k_2) - F_74(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_74(x, k_0, k_1, k_2), F_54(x, k_1, k_2) + F_71(x, k_0, k_1, k_2))
Eq(F_75(x, k_0), F_48(x, 1, k_0))
Eq(F_76(x, k_0, k_1, k_2), (-k_0*F_56(x, k_0, k_1, k_2) + F_56(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_77(x, k_0, k_1, k_2), F_78(x, k_0, k_1, k_2))
Eq(F_78(x, k_0, k_1, k_2), F_79(x, k_0, k_1, k_2)*F_80(x))
Eq(F_79(x, k_0, k_1, k_2), (k_1*F_56(x, k_0, k_1, k_2) - F_56(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_80(x), x)
Eq(F_81(x, k_0, k_1), F_48(x, k_0, k_1) + F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_83(x, k_1) + F_95(x, k_0, k_1))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_80(x)*F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0) + F_96(x, k_0))
Eq(F_86(x, k_0), F_4(x) + F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_14(x, k_0)*F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0) + F_91(x, k_0))
Eq(F_90(x, k_0), F_21(x, k_0, 1))
Eq(F_91(x, k_0), F_24(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0, 1))
Eq(F_93(x, k_0, k_1), (-k_0*k_1*F_94(x, k_0, k_1) + F_94(x, k_0, 1/k_0))/(-k_0*k_1 + 1))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_0*k_1))
Eq(F_95(x, k_0, k_1), F_50(x, k_0, k_1, 1))
Eq(F_96(x, k_0), (-k_0*F_83(x, k_0) + F_83(x, 1))/(1 - k_0))
Eq(F_74(x, k_0, k_1, k_2), F_82(x, k_0, k_1) + F_97(x, k_0, k_1, k_2))
Eq(F_98(x, k_0, k_1), F_99(x, k_0, 1, k_1))
Eq(F_99(x, k_0, k_1, k_2), (-k_0*k_1*F_100(x, k_0, k_1, k_2) + F_100(x, k_0, 1/k_0, k_2))/(-k_0*k_1 + 1))
Eq(F_100(x, k_0, k_1, k_2), F_50(x, k_0, k_0*k_1, k_2))
Eq(F_101(x, k_0), F_102(x, k_0))
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, 1, k_0))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1) + F_148(x, k_0, k_1))
Eq(F_105(x, k_0, k_1), F_106(x, k_0, k_1) + F_147(x, k_0, k_1))
Eq(F_106(x, k_0, k_1), F_107(x, k_0, k_1) + F_144(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_108(x, k_0) + F_143(x, k_0, k_1))
Eq(F_108(x, k_0), F_109(x, k_0) + F_4(x))
Eq(F_109(x, k_0), F_110(x, k_0))
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_106(x, k_0, 1))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0, 1))
Eq(F_115(x, k_0, k_1), F_116(x, k_0, k_0*k_1))
Eq(F_116(x, k_0, k_1), F_117(x, k_0, k_1))
Eq(F_117(x, k_0, k_1), F_118(x, k_0, k_1)*F_14(x, k_0))
Eq(F_118(x, k_0, k_1), F_119(x, k_0, k_1, 1))
Eq(F_120(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2)*F_80(x))
Eq(F_120(x, k_0, k_1, k_2), F_121(x, k_0, k_1, k_2))
Eq(F_121(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2) + F_129(x, k_0, k_1, k_2))
Eq(F_122(x, k_0, k_1, k_2), F_123(x, k_1, k_2) + F_125(x, k_0, k_1, k_2))
Eq(F_123(x, k_0, k_1), F_124(x, k_0, k_1))
Eq(F_124(x, k_0, k_1), F_107(x, k_0, k_1)*F_80(x))
Eq(F_125(x, k_0, k_1, k_2), F_126(x, k_0, k_1, k_2))
Eq(F_126(x, k_0, k_1, k_2), F_127(x, k_0, k_1, k_2)*F_69(x, k_0))
Eq(F_127(x, k_0, k_1, k_2), (k_2*F_128(x, k_0, k_1, k_2) - F_128(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_128(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2))
Eq(F_129(x, k_0, k_1, k_2), F_130(x, k_0, k_1, k_2))
Eq(F_130(x, k_0, k_1, k_2), F_131(x, k_0, k_1, k_2)*F_80(x))
Eq(F_131(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2) + F_139(x, k_0, k_1, k_2))
Eq(F_132(x, k_0, k_1, k_2), (-k_1*F_133(x, k_0, k_1, k_2) + F_133(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_133(x, k_0, k_1, k_2), F_134(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1, k_2), F_135(x, k_0, k_1, k_2)*F_14(x, k_2))
Eq(F_135(x, k_0, k_1, k_2), F_136(x, k_0, k_1, k_2))
Eq(F_136(x, k_0, k_1, k_2), F_137(x, k_0, k_1, k_2) + F_138(x, k_0, k_1, k_2))
Eq(F_137(x, k_0, k_1, k_2), F_29(x, k_0, k_1, k_2))
Eq(F_138(x, k_0, k_1, k_2), F_132(x, k_0, k_1, k_2))
Eq(F_139(x, k_0, k_1, k_2), F_140(x, k_0, k_1, k_2))
Eq(F_140(x, k_0, k_1, k_2), F_14(x, k_2)*F_141(x, k_0, k_1, k_2))
Eq(F_141(x, k_0, k_1, k_2), (-k_1*F_142(x, k_0, k_1, k_2) + F_142(x, k_0, 1, k_2))/(1 - k_1))
Eq(F_142(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2))
Eq(F_143(x, k_0, k_1), (-k_0*F_11(x, k_0, k_1) + F_11(x, 1, k_1))/(1 - k_0))
Eq(F_144(x, k_0, k_1), F_145(x, k_0, k_1))
Eq(F_145(x, k_0, k_1), F_14(x, k_1)*F_146(x, k_0, k_1))
Eq(F_146(x, k_0, k_1), (-k_0*F_104(x, k_0, k_1) + F_104(x, 1, k_1))/(1 - k_0))
Eq(F_147(x, k_0, k_1), F_133(x, k_0, 1, k_1))
Eq(F_148(x, k_0, k_1), F_149(x, k_0, k_1))
Eq(F_149(x, k_0, k_1), F_14(x, k_1)*F_150(x, k_0, k_1))
Eq(F_150(x, k_0, k_1), F_119(x, k_0, 1, k_1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 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, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 3, 1, 2, 4]]}], "iterative": false}
Specification JSON:
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