01234_01243_01324_02134_02143_02314_03124_03214

Counting sequence:
1, 1, 2, 6, 24, 112, 572, 3106, 17671, 104238, 632461, 3923962, 24788280, 158940516, 1031927992, 6771295026, 44837652563, 299244203156, 2010843266412, 13593552987455, 92380908279443, 630762451817434, 4324762420948581, 29763325485796926, 205522493417294396, 1423486980383299179, 9886429943908414791, 68834828608193713287, 480356406178846682235, 3359081057937147761119, 23534412985415883632818, 165175219560950852675557, 1161140592042856895390911, 8174647972919755701424530, 57630050628338064716938494, 406799798903474526021455355, 2874911760478618689523186667, 20339690277897435693247929218, 144048059569500543969676683639, 1021136716381225282104692052367, 7245135424724236778538713132152, 51448214592623285332479160581156, 365622082537584532695841328803817, 2600230371670130320878095427576008, 18505004800397209550985999151161967, 131779157632967605361344110283997341, 939005107826936274617649066946952833, 6694801106009708639574748037352813730, 47757526158457302966791355241671467363, 340853164615507013919976535261600241807, 2433896381453999642401766492435601064905, 17387406974126495868471412505511331589906, 124266780597801633241019329869747612307413, 888490923001855051172574542464290965309827, 6355058402099818015555093666525151233359411, 45472222629995608178065686272679996410614743, 325480475151492998502697314236321958351827767, 2330496033989895018075906710293682793189331041, 16692042380743519993317355348700066888898930373, 119591888011281659015651264002794810907843464199, 857075240077752969879213118555617807256606247126, 6144059045067552390136749516318276400866390007059, 44056052661301574089980216079306546514023713584792, 315983524805070782282182216658145049233352533922158, 2266872697266368853646863748965112078943617987924002, 16266312673864566547431140943967744929887433814607317, 116747100968996344576688109463768560657605708720908242, 838096544553644554459493551613112199178014164704074530, 6017680490813324824258330000696512863078745182700711431, 43216312973982842545468398494859043073876251375378750132, 310417635630869176939038630660313635033745812287896322725, 2230087515209859509811449829152331285719567816462070411381, 16024009662871095594450779288525718904803842618523586630305, 115157266676635732278692458914358901685976174158289960235181, 827712647253948727640698859184635699241270595090537246795824, 5950223819017591623040187599249559939109268760261224924588694, 42780906906068004371050428286679055796453218670336313541668964, 307629000578391132072394119371485552309537948245942939031243959, 2212396231757090568646720567223058006197940979555176698286460915, 15913098366467272231941770688083787571203829305879224198831137454, 114472388034647401254048612290233672845749187244655771881927634017, 823567025090198557386070923534202510106108168182627448195441097717, 5925807121103734786650897095062260663907450054283487430624359761471, 42642696449186958688057169742380752780580041685335669395224195138910, 306894215396261674256997502862909811813283497794850165476394507064702, 2208910045161933003404294286636442880969927343901801033992963871110736, 15900511734228076558101260229604604935102746965257548924640346819640276, 114468619519434353316483679931385439123695846684169851411858629781939449, 824143151548568620019818875954409748278483883738011136390310696118910014, 5934148118253888950366285851547093509640475804755145921890315398581015979, 42731913638222472003517176598664980253433381497866618481002119508046712828, 307739540188261119598382229998686950263767600759371829284090698404724308016, 2216409878498861877825042622835272093777321875855464777909481976204639858258, 15964361022306834707811761991730533887401538426909034586811632976254592654020, 114997025254677227129742920289307986146806606342802751697886675101561925901213, 828426979776109461047154738734408819582063084403488675605220776319309932728555, 5968338236455997777854654877231222891512092709638675762242486242424137032461835, 43001462665191099263399704276441431479270350849816569676820927346023270488098471, 309843733540526024504392081885560567182228862167097296127178770861152477829172502, 2232703287963184664152681686067620702299529049538076760887452211793633578037630380, 16089674723538530586942118328801283648295795913683368127414072922556163516459941521

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25350/
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[7,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[7,x]*F[8,x]
F[7,x] = x
F[8,x] = F[9,x]
F[9,x] = F[10,x,1]
F[10,x,k[0]] = F[11,x,k[0]]+F[284,x,k[0]]+F[286,x,k[0]]
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]+F[14,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[7,x]
F[13,x,k[0]] = 1/(-1+k[0])*(F[11,x,k[0]]*k[0]-F[11,x,1])
F[14,x,k[0]] = F[15,x,k[0]]*F[29,x,k[0]]
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = F[17,x,k[0]*k[1],k[1]]
F[17,x,k[0],k[1]] = F[11,x,k[0]]+F[18,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[19,x]+F[20,x,k[0],k[1]]+F[278,x,k[0],k[1]]+F[281,x,k[0],k[1]]
F[19,x] = 0
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]*F[7,x]
F[21,x,k[0],k[1]] = F[22,x,1,k[0],k[1]]
F[22,x,k[0],k[1],k[2]] = F[115,x,k[0],k[1],k[2]]+F[19,x]+F[23,x,k[0],k[1],k[2]]+F[25,x,k[0],k[1],k[2]]+F[30,x,k[0],k[1],k[2]]
F[23,x,k[0],k[1],k[2]] = F[24,x,k[0],k[1],k[2]]*F[7,x]
F[24,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[22,x,k[0],k[1],k[2]]*k[0]-F[22,x,1,k[1],k[2]])
F[25,x,k[0],k[1],k[2]] = F[26,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[26,x,k[0],k[1],k[2]] = (F[27,x,k[0],1,k[2]]*k[0]-F[27,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[27,x,k[0],k[1],k[2]] = k[2]*(F[28,x,k[0],k[1]]-F[28,x,k[0],k[2]/k[0]])/(k[0]*k[1]-k[2])
F[28,x,k[0],k[1]] = F[18,x,k[0],k[0]*k[1]]
F[29,x,k[0]] = k[0]*x
F[30,x,k[0],k[1],k[2]] = F[29,x,k[1]]*F[31,x,k[0],k[1],k[2]]
F[31,x,k[0],k[1],k[2]] = k[2]*F[32,x,k[0],k[1]]
F[32,x,k[0],k[1]] = F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[34,x,k[0],k[1]]*F[7,x]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[1],1]
F[35,x,k[0],k[1],k[2]] = F[262,x,k[0],k[1]]+F[36,x,k[0],k[1],k[2]]
F[36,x,k[0],k[1],k[2]] = (-F[37,x,1,k[1],k[2]]*k[1]+F[37,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[37,x,k[0],k[1],k[2]] = F[38,x,k[0]*k[1],k[1]*k[2]]
F[38,x,k[0],k[1]] = F[17,x,k[0],k[1]]+F[39,x,k[0],k[1]]
F[39,x,k[0],k[1]] = F[40,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]*F[7,x]
F[41,x,k[0],k[1]] = F[42,x,1,k[0],k[1]]
F[42,x,k[0],k[1],k[2]] = F[43,x,k[0],k[1],k[2]]+F[45,x,k[0],k[1],k[2]]+F[47,x,k[0],k[1],k[2]]
F[43,x,k[0],k[1],k[2]] = F[22,x,k[0],k[1],k[2]]+F[44,x,k[0],k[1]]
F[44,x,k[0],k[1]] = (F[11,x,k[0]]*k[0]-F[11,x,k[1]]*k[1])/(-k[1]+k[0])
F[45,x,k[0],k[1],k[2]] = F[46,x,k[0],k[1],k[2]]*F[7,x]
F[46,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[42,x,k[0],k[1],k[2]]*k[0]-F[42,x,1,k[1],k[2]])
F[47,x,k[0],k[1],k[2]] = F[48,x,k[0],k[1],k[2]]
F[48,x,k[0],k[1],k[2]] = F[29,x,k[0]]*F[49,x,k[0],k[1],k[2]]
F[49,x,k[0],k[1],k[2]] = F[234,x,k[0]]+F[50,x,k[0],k[1],k[2]]
F[50,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]+F[54,x,k[0]]
F[51,x,k[0],k[1],k[2]] = (F[52,x,k[0],1,k[2]]*k[0]-F[52,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[52,x,k[0],k[1],k[2]] = (F[53,x,k[0],k[1]]*k[0]*k[1]-F[53,x,k[0],k[2]/k[0]]*k[2])/(k[0]*k[1]-k[2])
F[53,x,k[0],k[1]] = F[38,x,k[0],k[0]*k[1]]
F[54,x,k[0]] = F[55,x,k[0],1]
F[55,x,k[0],k[1]] = F[56,x,k[0],k[0]*k[1]]
F[56,x,k[0],k[1]] = F[57,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[57,x,k[0],k[1]]+F[60,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[29,x,k[1]]*F[58,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[18,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[38,x,k[0],k[1]]+F[61,x,k[0]]
F[61,x,k[0]] = k[0]*F[62,x,k[0]]
F[62,x,k[0]] = F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]*F[7,x]
F[64,x,k[0]] = F[65,x,k[0],1]
F[65,x,k[0],k[1]] = F[66,x,k[0],k[0]*k[1]]
F[67,x,k[0],k[1]] = F[250,x,k[0]]+F[66,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[202,x,k[0],k[1]]+F[67,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[29,x,k[1]]*F[68,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[70,x,k[0],k[1]]
F[70,x,k[0],k[1]] = F[216,x,k[0],k[1]]+F[71,x,k[1]]
F[71,x,k[0]] = F[191,x,k[0]]+F[72,x,k[0]]
F[72,x,k[0]] = F[183,x,k[0]]+F[19,x]+F[73,x,k[0]]
F[73,x,k[0]] = F[7,x]*F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,1,k[0]]
F[75,x,k[0],k[1]] = F[19,x]+F[76,x,k[0],k[1]]+F[78,x,k[0],k[1]]+F[80,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[7,x]*F[77,x,k[0],k[1]]
F[77,x,k[0],k[1]] = 1/(-1+k[0])*(F[75,x,k[0],k[1]]*k[0]-F[75,x,1,k[1]])
F[78,x,k[0],k[1]] = F[29,x,k[0]]*F[79,x,k[0],k[1]]
F[79,x,k[0],k[1]] = k[1]*(F[28,x,k[0],1]-F[28,x,k[0],k[1]/k[0]])/(-k[1]+k[0])
F[81,x,k[0],k[1]] = F[1,x]+F[180,x,k[0],k[1]]+F[182,x,k[0],k[1]]+F[80,x,k[0],k[1]]
F[43,x,k[0],k[1],k[2]] = F[81,x,k[0],k[2]]+F[82,x,k[0],k[1],k[2]]
F[82,x,k[0],k[1],k[2]] = F[19,x]+F[83,x,k[0],k[1],k[2]]+F[85,x,k[0],k[1],k[2]]+F[88,x,k[0],k[1],k[2]]+F[91,x,k[0],k[1],k[2]]
F[83,x,k[0],k[1],k[2]] = F[7,x]*F[84,x,k[0],k[1],k[2]]
F[84,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[82,x,k[0],k[1],k[2]]*k[0]-F[82,x,1,k[1],k[2]])
F[85,x,k[0],k[1],k[2]] = F[29,x,k[0]]*F[86,x,k[0],k[1],k[2]]
F[86,x,k[0],k[1],k[2]] = k[1]*(F[87,x,k[0],1,k[2]]-F[87,x,k[0],k[1]/k[0],k[2]])/(-k[1]+k[0])
F[87,x,k[0],k[1],k[2]] = k[0]*k[1]*(F[28,x,k[0],k[1]]-F[28,x,k[0],k[2]/k[0]])/(k[0]*k[1]-k[2])
F[88,x,k[0],k[1],k[2]] = F[29,x,k[1]]*F[89,x,k[0],k[1],k[2]]
F[89,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]+F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = (-F[16,x,1,k[1]]*k[1]+F[16,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[91,x,k[0],k[1],k[2]] = F[29,x,k[2]]*F[92,x,k[0],k[1],k[2]]
F[92,x,k[0],k[1],k[2]] = F[93,x,k[0],k[1],k[2]]
F[94,x,k[0],k[1],k[2]] = F[93,x,k[0],k[1],k[2]]+F[98,x,k[0],k[2]]
F[94,x,k[0],k[1],k[2]] = F[43,x,k[0],k[1],k[2]]+F[95,x,k[0],k[1],k[2]]
F[95,x,k[0],k[1],k[2]] = k[2]*F[96,x,k[0],k[1],k[2]]
F[96,x,k[0],k[1],k[2]] = F[97,x,k[0],k[1],k[2]]
F[97,x,k[0],k[1],k[2]] = F[42,x,k[0],k[1],k[2]]*F[7,x]
F[98,x,k[0],k[1]] = F[1,x]+F[101,x,k[0],k[1]]+F[179,x,k[0],k[1]]+F[80,x,k[0],k[1]]+F[99,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[100,x,k[0],k[1]]*F[7,x]
F[100,x,k[0],k[1]] = 1/(-1+k[0])*(F[98,x,k[0],k[1]]*k[0]-F[98,x,1,k[1]])
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]*F[29,x,k[0]]
F[102,x,k[0],k[1]] = F[103,x,k[0],1,k[1]]
F[104,x,k[0],k[1],k[2]] = 1/(k[1]*k[2]-1)*(F[103,x,k[0],k[1],k[2]]*k[1]*k[2]-F[103,x,k[0],1/k[2],k[2]])
F[105,x,k[0],k[1],k[2]] = F[104,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[106,x,k[0],k[1],k[2]] = F[1,x]+F[105,x,k[0],k[1],k[2]]+F[111,x,k[0],k[1],k[2]]+F[113,x,k[0],k[1]*k[2]]+F[114,x,k[0],k[1]*k[2]]+F[178,x,k[0],k[1],k[2]]
F[106,x,k[0],k[1],k[2]] = F[107,x,k[0],k[1]*k[2]]+F[108,x,k[0],k[1],k[2]]
F[107,x,k[0],k[1]] = F[43,x,k[0],1,k[1]]
F[108,x,k[0],k[1],k[2]] = k[2]*F[109,x,k[0],k[2]]
F[109,x,k[0],k[1]] = F[110,x,k[0],1,k[1]]
F[110,x,k[0],k[1],k[2]] = F[96,x,k[0],k[1],k[1]*k[2]]
F[111,x,k[0],k[1],k[2]] = F[112,x,k[0],k[1],k[2]]*F[7,x]
F[112,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[106,x,k[0],k[1],k[2]]*k[0]-F[106,x,1,k[1],k[2]])
F[113,x,k[0],k[1]] = F[88,x,k[0],1,k[1]]
F[114,x,k[0],k[1]] = F[115,x,k[0],1,k[1]]
F[115,x,k[0],k[1],k[2]] = F[116,x,k[0],k[1],k[2]]*F[29,x,k[2]]
F[116,x,k[0],k[1],k[2]] = F[117,x,k[0],k[1],k[2]]+F[177,x,k[0],k[1],k[2]]
F[117,x,k[0],k[1],k[2]] = F[118,x,k[0],k[1],k[2]]+F[44,x,k[0],k[1]]
F[118,x,k[0],k[1],k[2]] = k[2]*F[119,x,k[0],k[1]]
F[120,x,k[0],k[1]] = F[119,x,k[0],k[1]]+F[175,x,k[0],k[1]]
F[121,x,k[0],k[1]] = F[120,x,k[0],k[1]]+F[123,x,k[0],k[1]]
F[122,x,k[0],k[1]] = F[121,x,k[0],k[1]]*F[7,x]
F[123,x,k[0],k[1]] = F[1,x]+F[122,x,k[0],k[1]]+F[172,x,k[0],k[1]]+F[173,x,k[0],k[1]]+F[174,x,k[0],k[1]]
F[123,x,k[0],k[1]] = F[124,x,k[0]]+F[171,x,k[0],k[1]]
F[125,x,k[0]] = F[124,x,k[0]]+F[169,x,k[0]]
F[125,x,k[0]] = F[1,x]+F[126,x,k[0]]+F[130,x,k[0]]+F[136,x,k[0]]+F[137,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0],1]
F[127,x,k[0],k[1]] = F[128,x,k[0],1,k[1]]
F[128,x,k[0],k[1],k[2]] = F[129,x,k[0],k[1],k[2]]*F[7,x]
F[129,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[43,x,k[0],k[1],k[2]]*k[0]-F[43,x,1,k[1],k[2]])
F[130,x,k[0]] = F[131,x,k[0],1]
F[131,x,k[0],k[1]] = F[132,x,k[0],1,k[1]]
F[132,x,k[0],k[1],k[2]] = F[133,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[133,x,k[0],k[1],k[2]] = (F[134,x,k[0],k[1]]*k[1]-F[134,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[134,x,k[0],k[1]] = (F[135,x,k[0],1]*k[0]-F[135,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[135,x,k[0],k[1]] = F[17,x,k[0],k[0]*k[1]]
F[136,x,k[0]] = F[113,x,k[0],1]
F[137,x,k[0]] = F[138,x,k[0]]*F[7,x]
F[138,x,k[0]] = F[139,x,k[0]]+F[164,x,k[0]]
F[140,x,k[0]] = F[139,x,k[0]]+F[142,x,k[0]]
F[140,x,k[0]] = F[141,x,k[0],1]
F[141,x,k[0],k[1]] = F[89,x,k[0],1,k[1]]
F[142,x,k[0]] = F[143,x,k[0],1]
F[143,x,k[0],k[1]] = F[144,x,k[0],k[1]]
F[144,x,k[0],k[1]] = F[145,x,k[0],k[1],1]
F[145,x,k[0],k[1],k[2]] = F[146,x,k[0],k[1],k[2]]
F[146,x,k[0],k[1],k[2]] = F[147,x,k[0],k[1],k[1]*k[2]]
F[147,x,k[0],k[1],k[2]] = (F[148,x,k[0],k[1],k[2]]*k[0]-F[148,x,1,k[1],k[2]])/(-1+k[0])
F[149,x,k[0],k[1],k[2]] = F[148,x,k[0],k[1],k[2]]+F[153,x,k[0],k[2]]
F[149,x,k[0],k[1],k[2]] = F[150,x,k[0],k[1],k[2]]+F[17,x,k[0],k[1]]
F[150,x,k[0],k[1],k[2]] = k[2]*F[151,x,k[0],k[1]]
F[151,x,k[0],k[1]] = F[152,x,k[0],k[1]]
F[152,x,k[0],k[1]] = F[38,x,k[0],k[1]]*F[7,x]
F[153,x,k[0],k[1]] = F[1,x]+F[14,x,k[0]]+F[154,x,k[0],k[1]]+F[163,x,k[0],k[1]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]*F[7,x]
F[155,x,k[0],k[1]] = F[156,x,1,k[0],k[1]]
F[156,x,k[0],k[1],k[2]] = F[1,x]+F[157,x,k[0],k[1],k[2]]+F[159,x,k[0],k[1],k[2]]+F[161,x,k[0],k[1]]+F[162,x,k[0],k[1],k[2]]
F[157,x,k[0],k[1],k[2]] = F[158,x,k[0],k[1],k[2]]*F[7,x]
F[158,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[156,x,k[0],k[1],k[2]]*k[0]-F[156,x,1,k[1],k[2]])
F[159,x,k[0],k[1],k[2]] = F[160,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[103,x,k[0],k[1],k[2]] = F[160,x,k[0],k[1]*k[2],k[2]]
F[161,x,k[0],k[1]] = F[29,x,k[1]]*F[90,x,k[0],k[1]]
F[162,x,k[0],k[1],k[2]] = F[29,x,k[2]]*F[44,x,k[0],k[1]]
F[163,x,k[0],k[1]] = F[11,x,k[0]]*F[29,x,k[1]]
F[164,x,k[0]] = F[165,x,k[0],1]
F[165,x,k[0],k[1]] = F[166,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[167,x,k[0],1,k[1]]
F[167,x,k[0],k[1],k[2]] = F[168,x,k[0],k[1],k[1]*k[2]]
F[94,x,k[0],k[1],k[2]] = F[156,x,k[0],k[1],k[2]]+F[168,x,k[0],k[1],k[2]]
F[169,x,k[0]] = F[170,x,k[0],1]
F[170,x,k[0],k[1]] = F[82,x,k[0],1,k[1]]
F[171,x,k[0],k[1]] = F[82,x,k[0],k[1],1]
F[172,x,k[0],k[1]] = F[128,x,k[0],k[1],1]
F[173,x,k[0],k[1]] = F[132,x,k[0],k[1],1]
F[174,x,k[0],k[1]] = F[88,x,k[0],k[1],1]
F[175,x,k[0],k[1]] = F[176,x,k[0],k[1],1]
F[177,x,k[0],k[1],k[2]] = F[176,x,k[0],k[1],k[2]]+F[22,x,k[0],k[1],k[2]]
F[177,x,k[0],k[1],k[2]] = F[168,x,k[0],k[1],k[2]]
F[178,x,k[0],k[1],k[2]] = F[107,x,k[0],k[2]]*F[29,x,k[2]]
F[179,x,k[0],k[1]] = F[29,x,k[1]]*F[81,x,k[0],k[1]]
F[180,x,k[0],k[1]] = F[181,x,k[0],k[1]]*F[7,x]
F[181,x,k[0],k[1]] = 1/(-1+k[0])*(F[81,x,k[0],k[1]]*k[0]-F[81,x,1,k[1]])
F[182,x,k[0],k[1]] = F[134,x,k[0],k[1]]*F[29,x,k[0]]
F[183,x,k[0]] = F[184,x,k[0]]*F[29,x,k[0]]
F[184,x,k[0]] = F[1,x]+F[183,x,k[0]]+F[185,x,k[0]]+F[187,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]*F[7,x]
F[186,x,k[0]] = F[98,x,1,k[0]]
F[187,x,k[0]] = F[188,x,1,k[0]]
F[188,x,k[0],k[1]] = F[189,x,k[0]*k[1],k[1]]
F[189,x,k[0],k[1]] = F[190,x,k[0]]*F[29,x,k[1]]
F[190,x,k[0]] = F[0,x]+F[72,x,k[0]]
F[191,x,k[0]] = F[192,x,k[0]]
F[192,x,k[0]] = F[193,x,k[0]]*F[7,x]
F[193,x,k[0]] = F[194,x,k[0]]+F[196,x,k[0]]
F[194,x,k[0]] = F[195,x,1,k[0]]
F[195,x,k[0],k[1]] = F[70,x,k[0],k[0]*k[1]]
F[196,x,k[0]] = k[0]*F[197,x]
F[197,x] = F[198,x]
F[198,x] = F[199,x]*F[7,x]
F[199,x] = F[200,x,1]
F[200,x,k[0]] = F[201,x,1,k[0]]
F[201,x,k[0],k[1]] = F[202,x,k[0],k[0]*k[1]]
F[202,x,k[0],k[1]] = F[203,x,1,k[0],k[1]]
F[203,x,k[0],k[1],k[2]] = k[2]*F[204,x,k[0],k[1],k[2]]
F[204,x,k[0],k[1],k[2]] = F[205,x,k[1],k[2]]+F[214,x,k[0],k[1],k[2]]
F[206,x,k[0],k[1]] = F[205,x,k[0],k[0]*k[1]]
F[206,x,k[0],k[1]] = F[207,x,k[0],k[1],1]
F[208,x,k[0],k[1],k[2]] = (F[207,x,k[0],k[1]/k[2],k[2]]*k[0]*k[1]-F[207,x,k[0],1/k[0],k[2]]*k[2])/(k[0]*k[1]-k[2])
F[209,x,k[0],k[1],k[2]] = F[208,x,k[0],k[1],k[2]]+F[211,x,k[0],k[1],k[2]]
F[210,x,k[0],k[1],k[2]] = F[209,x,k[0],k[1],k[2]]*F[29,x,k[2]]
F[210,x,k[0],k[1],k[2]] = F[27,x,k[0],k[1],k[2]]
F[211,x,k[0],k[1],k[2]] = F[212,x,k[0],k[1],k[2]]+F[213,x,k[0],k[1]]
F[212,x,k[0],k[1],k[2]] = F[52,x,k[0],k[1],k[2]]+F[55,x,k[0],k[1]]
F[213,x,k[0],k[1]] = F[61,x,k[0]]
F[214,x,k[0],k[1],k[2]] = F[215,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[215,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[204,x,k[0],k[1],k[2]]*k[1]-F[204,x,k[0],1,k[2]])
F[217,x,k[0],k[1]] = F[216,x,k[0],k[1]]+F[240,x,k[0]]
F[218,x,k[0],k[1]] = F[217,x,k[0]*k[1],k[1]]
F[219,x,k[0],k[1]] = F[218,x,k[0],k[1]]+F[238,x,k[1]]
F[219,x,k[0],k[1]] = F[220,x,k[0]*k[1],k[1]]
F[220,x,k[0],k[1]] = F[17,x,k[0],k[1]]+F[221,x,k[0],k[1]]
F[221,x,k[0],k[1]] = F[222,x,k[0],k[1]]
F[222,x,k[0],k[1]] = F[223,x,k[0],k[1]]*F[7,x]
F[223,x,k[0],k[1]] = F[224,x,1,k[0],k[1]]
F[224,x,k[0],k[1],k[2]] = F[225,x,k[0],k[1],k[2]]+F[226,x,k[0],k[1],k[2]]+F[228,x,k[0],k[1],k[2]]
F[225,x,k[0],k[1],k[2]] = (F[17,x,k[0],k[2]]*k[0]-F[17,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[226,x,k[0],k[1],k[2]] = F[227,x,k[0],k[1],k[2]]*F[7,x]
F[227,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[224,x,k[0],k[1],k[2]]*k[0]-F[224,x,1,k[1],k[2]])
F[228,x,k[0],k[1],k[2]] = F[229,x,k[0],k[1],k[2]]
F[229,x,k[0],k[1],k[2]] = F[230,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[230,x,k[0],k[1],k[2]] = F[231,x,k[0],k[1]]+F[235,x,k[0],k[1],k[2]]
F[231,x,k[0],k[1]] = F[232,x,k[0],k[1]]+F[234,x,k[0]]
F[232,x,k[0],k[1]] = F[233,x,k[0],k[1]]+F[54,x,k[0]]
F[233,x,k[0],k[1]] = (F[53,x,k[0],1]*k[0]-F[53,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[234,x,k[0]] = F[61,x,k[0]]
F[235,x,k[0],k[1],k[2]] = (F[236,x,k[0],1,k[2]]*k[0]-F[236,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[236,x,k[0],k[1],k[2]] = F[237,x,k[0],k[0]*k[1],k[2]]
F[237,x,k[0],k[1],k[2]] = k[2]*F[205,x,k[0],k[1]]
F[238,x,k[0]] = F[239,x]+F[71,x,k[0]]
F[239,x] = F[4,x]
F[241,x,k[0]] = F[239,x]+F[240,x,k[0]]
F[241,x,k[0]] = F[11,x,k[0]]+F[242,x,k[0]]
F[242,x,k[0]] = F[243,x,k[0]]
F[243,x,k[0]] = F[244,x,k[0]]*F[7,x]
F[244,x,k[0]] = F[245,x,1,k[0]]
F[245,x,k[0],k[1]] = F[246,x,k[0],k[1]]+F[248,x,k[0],k[1]]+F[44,x,k[0],k[1]]
F[246,x,k[0],k[1]] = F[247,x,k[0],k[1]]*F[7,x]
F[247,x,k[0],k[1]] = 1/(-1+k[0])*(F[245,x,k[0],k[1]]*k[0]-F[245,x,1,k[1]])
F[248,x,k[0],k[1]] = F[249,x,k[0],k[1]]
F[249,x,k[0],k[1]] = F[231,x,k[0],k[1]]*F[29,x,k[0]]
F[250,x,k[0]] = F[251,x,1,k[0]]
F[251,x,k[0],k[1]] = k[1]*F[252,x,k[0],k[1]]
F[252,x,k[0],k[1]] = F[253,x,k[0],k[1]]
F[253,x,k[0],k[1]] = F[254,x,k[0],k[1]]*F[7,x]
F[254,x,k[0],k[1]] = F[255,x,k[0],k[1]]+F[64,x,k[1]]
F[255,x,k[0],k[1]] = F[256,x,k[0],k[1]]*F[29,x,k[0]]
F[256,x,k[0],k[1]] = F[257,x,k[0],1,k[1]]
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[259,x,k[1],k[2]]+F[260,x,k[0],k[1],k[2]]
F[259,x,k[0],k[1]] = F[66,x,k[0]*k[1],k[1]]
F[260,x,k[0],k[1],k[2]] = F[261,x,k[0],k[1],k[2]]*F[29,x,k[0]]
F[261,x,k[0],k[1],k[2]] = 1/(k[1]*k[2]-1)*(F[258,x,k[0],k[1],k[2]]*k[1]*k[2]-F[258,x,k[0],1/k[2],k[2]])
F[262,x,k[0],k[1]] = F[263,x,k[0],k[1]]
F[264,x,k[0],k[1],k[2]] = F[263,x,k[0],k[1]]+F[268,x,k[0],k[1],k[2]]
F[265,x,k[0],k[1],k[2]] = F[264,x,k[0],k[1],k[2]]*F[29,x,k[2]]
F[265,x,k[0],k[1],k[2]] = F[266,x,k[0],k[1],k[2]]
F[266,x,k[0],k[1],k[2]] = (-F[267,x,1,k[1],k[2]]*k[1]+F[267,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[267,x,k[0],k[1],k[2]] = F[18,x,k[0]*k[1],k[1]*k[2]]
F[268,x,k[0],k[1],k[2]] = F[269,x,k[0],k[1],k[2]]+F[274,x,k[0],k[1]]
F[269,x,k[0],k[1],k[2]] = (-F[270,x,1,k[1],k[2]]*k[1]+F[270,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[270,x,k[0],k[1],k[2]] = F[271,x,k[0]*k[1],k[1]*k[2]]
F[271,x,k[0],k[1]] = F[272,x,k[0],1,k[1]]
F[272,x,k[0],k[1],k[2]] = F[273,x,k[0],k[1]*k[2],k[2]]
F[273,x,k[0],k[1],k[2]] = F[237,x,k[0],k[1],k[2]]+F[38,x,k[0],k[1]]
F[274,x,k[0],k[1]] = k[1]*F[275,x,k[0],k[1]]
F[275,x,k[0],k[1]] = F[276,x,k[0],k[1]]
F[276,x,k[0],k[1]] = F[277,x,k[0],k[1]]*F[7,x]
F[277,x,k[0],k[1]] = (-F[259,x,1,k[1]]*k[1]+F[259,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[278,x,k[0],k[1]] = F[279,x,k[0],k[1]]*F[29,x,k[0]]
F[279,x,k[0],k[1]] = F[280,x,k[0],1,k[1]]
F[280,x,k[0],k[1],k[2]] = F[150,x,k[0],k[0]*k[1],k[2]]
F[281,x,k[0],k[1]] = F[282,x,k[0],k[1]]*F[29,x,k[1]]
F[282,x,k[0],k[1]] = F[283,x,k[0],1,k[1]]
F[283,x,k[0],k[1],k[2]] = F[149,x,k[0],k[1]*k[2],k[2]]
F[284,x,k[0]] = F[285,x,k[0]]*F[7,x]
F[285,x,k[0]] = 1/(-1+k[0])*(F[10,x,k[0]]*k[0]-F[10,x,1])
F[286,x,k[0]] = F[287,x,k[0]]
F[287,x,k[0]] = F[288,x,k[0]]*F[29,x,k[0]]
F[288,x,k[0]] = F[289,x,k[0],1]
F[289,x,k[0],k[1]] = F[58,x,k[0],k[0]*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_{7}\! \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_{8}\! \left(x \right)
F_{7}\! \left(x \right) = x
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x , 1\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{284}\! \left(x , y_{0}\right)+F_{286}\! \left(x , y_{0}\right)
F_{11}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y_{0}\right)+F_{14}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = -\frac{-F_{11}\! \left(x , y_{0}\right) y_{0}+F_{11}\! \left(x , 1\right)}{-1+y_{0}}
F_{14}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{0}\right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}\right)+F_{18}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x \right)+F_{20}\! \left(x , y_{0}, y_{1}\right)+F_{278}\! \left(x , y_{0}, y_{1}\right)+F_{281}\! \left(x , y_{0}, y_{1}\right)
F_{19}\! \left(x \right) = 0
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{21}\! \left(x , y_{0}, y_{1}\right) = F_{22}\! \left(x , 1, y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{115}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{19}\! \left(x \right)+F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{22}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{27}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{27}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{28}\! \left(x , y_{0}, y_{1}\right)-F_{28}\! \left(x , y_{0}, \frac{y_{2}}{y_{0}}\right)\right)}{y_{0} y_{1}-y_{2}}
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{29}\! \left(x , y_{0}\right) = y_{0} x
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{1}\right) F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{32}\! \left(x , y_{0}, y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{33}\! \left(x , y_{0}, y_{1}\right)
F_{33}\! \left(x , y_{0}, y_{1}\right) = F_{34}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}, 1\right)
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{262}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{37}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{37}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{38}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{38}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right)+F_{39}\! \left(x , y_{0}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{41}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{42}\! \left(x , 1, y_{0}, y_{1}\right)
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{45}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{47}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{11}\! \left(x , y_{0}\right) y_{0}-F_{11}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{45}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{46}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{46}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{42}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{234}\! \left(x , y_{0}\right)+F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{54}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{52}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{52}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{53}\! \left(x , y_{0}, y_{1}\right) y_{0} y_{1}-F_{53}\! \left(x , y_{0}, \frac{y_{2}}{y_{0}}\right) y_{2}}{y_{0} y_{1}-y_{2}}
F_{53}\! \left(x , y_{0}, y_{1}\right) = F_{38}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{54}\! \left(x , y_{0}\right) = F_{55}\! \left(x , y_{0}, 1\right)
F_{55}\! \left(x , y_{0}, y_{1}\right) = F_{56}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0}, y_{1}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right) F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{38}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}\right)
F_{61}\! \left(x , y_{0}\right) = y_{0} F_{62}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}\right) = F_{63}\! \left(x , y_{0}\right)
F_{63}\! \left(x , y_{0}\right) = F_{64}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{64}\! \left(x , y_{0}\right) = F_{65}\! \left(x , y_{0}, 1\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{67}\! \left(x , y_{0}, y_{1}\right) = F_{250}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{202}\! \left(x , y_{0}, y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right) F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{216}\! \left(x , y_{0}, y_{1}\right)+F_{71}\! \left(x , y_{1}\right)
F_{71}\! \left(x , y_{0}\right) = F_{191}\! \left(x , y_{0}\right)+F_{72}\! \left(x , y_{0}\right)
F_{72}\! \left(x , y_{0}\right) = F_{183}\! \left(x , y_{0}\right)+F_{19}\! \left(x \right)+F_{73}\! \left(x , y_{0}\right)
F_{73}\! \left(x , y_{0}\right) = F_{7}\! \left(x \right) F_{74}\! \left(x , y_{0}\right)
F_{74}\! \left(x , y_{0}\right) = F_{75}\! \left(x , 1, y_{0}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x \right)+F_{76}\! \left(x , y_{0}, y_{1}\right)+F_{78}\! \left(x , y_{0}, y_{1}\right)+F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{7}\! \left(x \right) F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{77}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{75}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{75}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{0}\right) F_{79}\! \left(x , y_{0}, y_{1}\right)
F_{79}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{28}\! \left(x , y_{0}, 1\right)-F_{28}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)\right)}{-y_{1}+y_{0}}
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{180}\! \left(x , y_{0}, y_{1}\right)+F_{182}\! \left(x , y_{0}, y_{1}\right)+F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{81}\! \left(x , y_{0}, y_{2}\right)+F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{19}\! \left(x \right)+F_{83}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{91}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{83}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{7}\! \left(x \right) F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{82}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{0}\right) F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} \left(F_{87}\! \left(x , y_{0}, 1, y_{2}\right)-F_{87}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right)\right)}{-y_{1}+y_{0}}
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} y_{1} \left(F_{28}\! \left(x , y_{0}, y_{1}\right)-F_{28}\! \left(x , y_{0}, \frac{y_{2}}{y_{0}}\right)\right)}{y_{0} y_{1}-y_{2}}
F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{1}\right) F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{90}\! \left(x , y_{0}, y_{1}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{16}\! \left(x , 1, y_{1}\right) y_{1}-F_{16}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{91}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{2}\right) F_{92}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{92}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{98}\! \left(x , y_{0}, y_{2}\right)
F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{95}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{95}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{96}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{96}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{98}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{101}\! \left(x , y_{0}, y_{1}\right)+F_{179}\! \left(x , y_{0}, y_{1}\right)+F_{80}\! \left(x , y_{0}, y_{1}\right)+F_{99}\! \left(x , y_{0}, y_{1}\right)
F_{99}\! \left(x , y_{0}, y_{1}\right) = F_{100}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{100}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{98}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{98}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{101}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, 1, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{103}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1} y_{2}-F_{103}\! \left(x , y_{0}, \frac{1}{y_{2}}, y_{2}\right)}{y_{1} y_{2}-1}
F_{105}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{104}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{106}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{105}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{111}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{113}\! \left(x , y_{0}, y_{1} y_{2}\right)+F_{114}\! \left(x , y_{0}, y_{1} y_{2}\right)+F_{178}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{106}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{107}\! \left(x , y_{0}, y_{1} y_{2}\right)+F_{108}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, 1, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{109}\! \left(x , y_{0}, y_{2}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, 1, y_{1}\right)
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{96}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{111}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{112}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{112}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{106}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{106}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{113}\! \left(x , y_{0}, y_{1}\right) = F_{88}\! \left(x , y_{0}, 1, y_{1}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{115}\! \left(x , y_{0}, 1, y_{1}\right)
F_{115}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{116}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{2}\right)
F_{116}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{117}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{177}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{117}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{118}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{118}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{119}\! \left(x , y_{0}, y_{1}\right)
F_{120}\! \left(x , y_{0}, y_{1}\right) = F_{119}\! \left(x , y_{0}, y_{1}\right)+F_{175}\! \left(x , y_{0}, y_{1}\right)
F_{121}\! \left(x , y_{0}, y_{1}\right) = F_{120}\! \left(x , y_{0}, y_{1}\right)+F_{123}\! \left(x , y_{0}, y_{1}\right)
F_{122}\! \left(x , y_{0}, y_{1}\right) = F_{121}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{122}\! \left(x , y_{0}, y_{1}\right)+F_{172}\! \left(x , y_{0}, y_{1}\right)+F_{173}\! \left(x , y_{0}, y_{1}\right)+F_{174}\! \left(x , y_{0}, y_{1}\right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{124}\! \left(x , y_{0}\right)+F_{171}\! \left(x , y_{0}, y_{1}\right)
F_{125}\! \left(x , y_{0}\right) = F_{124}\! \left(x , y_{0}\right)+F_{169}\! \left(x , y_{0}\right)
F_{125}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{126}\! \left(x , y_{0}\right)+F_{130}\! \left(x , y_{0}\right)+F_{136}\! \left(x , y_{0}\right)+F_{137}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{127}\! \left(x , y_{0}, 1\right)
F_{127}\! \left(x , y_{0}, y_{1}\right) = F_{128}\! \left(x , y_{0}, 1, y_{1}\right)
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{43}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{130}\! \left(x , y_{0}\right) = F_{131}\! \left(x , y_{0}, 1\right)
F_{131}\! \left(x , y_{0}, y_{1}\right) = F_{132}\! \left(x , y_{0}, 1, y_{1}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{134}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{134}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}
F_{134}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{135}\! \left(x , y_{0}, 1\right) y_{0}-F_{135}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{135}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{136}\! \left(x , y_{0}\right) = F_{113}\! \left(x , y_{0}, 1\right)
F_{137}\! \left(x , y_{0}\right) = F_{138}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{138}\! \left(x , y_{0}\right) = F_{139}\! \left(x , y_{0}\right)+F_{164}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}\right) = F_{139}\! \left(x , y_{0}\right)+F_{142}\! \left(x , y_{0}\right)
F_{140}\! \left(x , y_{0}\right) = F_{141}\! \left(x , y_{0}, 1\right)
F_{141}\! \left(x , y_{0}, y_{1}\right) = F_{89}\! \left(x , y_{0}, 1, y_{1}\right)
F_{142}\! \left(x , y_{0}\right) = F_{143}\! \left(x , y_{0}, 1\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = F_{144}\! \left(x , y_{0}, y_{1}\right)
F_{144}\! \left(x , y_{0}, y_{1}\right) = F_{145}\! \left(x , y_{0}, y_{1}, 1\right)
F_{145}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{146}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{146}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{147}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{147}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{148}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{148}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{149}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{148}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{153}\! \left(x , y_{0}, y_{2}\right)
F_{149}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{150}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{150}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{151}\! \left(x , y_{0}, y_{1}\right)
F_{151}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{0}, y_{1}\right)
F_{152}\! \left(x , y_{0}, y_{1}\right) = F_{38}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{153}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y_{0}\right)+F_{154}\! \left(x , y_{0}, y_{1}\right)+F_{163}\! \left(x , y_{0}, y_{1}\right)
F_{154}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{155}\! \left(x , y_{0}, y_{1}\right) = F_{156}\! \left(x , 1, y_{0}, y_{1}\right)
F_{156}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{157}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{159}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{161}\! \left(x , y_{0}, y_{1}\right)+F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{157}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{158}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{158}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{156}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{156}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{159}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{160}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{160}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{161}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right) F_{90}\! \left(x , y_{0}, y_{1}\right)
F_{162}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x , y_{2}\right) F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{163}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{1}\right)
F_{164}\! \left(x , y_{0}\right) = F_{165}\! \left(x , y_{0}, 1\right)
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{166}\! \left(x , y_{0}, y_{1}\right) = F_{167}\! \left(x , y_{0}, 1, y_{1}\right)
F_{167}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{168}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{156}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{168}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{169}\! \left(x , y_{0}\right) = F_{170}\! \left(x , y_{0}, 1\right)
F_{170}\! \left(x , y_{0}, y_{1}\right) = F_{82}\! \left(x , y_{0}, 1, y_{1}\right)
F_{171}\! \left(x , y_{0}, y_{1}\right) = F_{82}\! \left(x , y_{0}, y_{1}, 1\right)
F_{172}\! \left(x , y_{0}, y_{1}\right) = F_{128}\! \left(x , y_{0}, y_{1}, 1\right)
F_{173}\! \left(x , y_{0}, y_{1}\right) = F_{132}\! \left(x , y_{0}, y_{1}, 1\right)
F_{174}\! \left(x , y_{0}, y_{1}\right) = F_{88}\! \left(x , y_{0}, y_{1}, 1\right)
F_{175}\! \left(x , y_{0}, y_{1}\right) = F_{176}\! \left(x , y_{0}, y_{1}, 1\right)
F_{177}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{176}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{177}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{168}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{178}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{107}\! \left(x , y_{0}, y_{2}\right) F_{29}\! \left(x , y_{2}\right)
F_{179}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right) F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{180}\! \left(x , y_{0}, y_{1}\right) = F_{181}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{181}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{81}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{81}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{182}\! \left(x , y_{0}, y_{1}\right) = F_{134}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{0}\right)
F_{183}\! \left(x , y_{0}\right) = F_{184}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{0}\right)
F_{184}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{183}\! \left(x , y_{0}\right)+F_{185}\! \left(x , y_{0}\right)+F_{187}\! \left(x , y_{0}\right)
F_{185}\! \left(x , y_{0}\right) = F_{186}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{186}\! \left(x , y_{0}\right) = F_{98}\! \left(x , 1, y_{0}\right)
F_{187}\! \left(x , y_{0}\right) = F_{188}\! \left(x , 1, y_{0}\right)
F_{188}\! \left(x , y_{0}, y_{1}\right) = F_{189}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{189}\! \left(x , y_{0}, y_{1}\right) = F_{190}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{1}\right)
F_{190}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{72}\! \left(x , y_{0}\right)
F_{191}\! \left(x , y_{0}\right) = F_{192}\! \left(x , y_{0}\right)
F_{192}\! \left(x , y_{0}\right) = F_{193}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{193}\! \left(x , y_{0}\right) = F_{194}\! \left(x , y_{0}\right)+F_{196}\! \left(x , y_{0}\right)
F_{194}\! \left(x , y_{0}\right) = F_{195}\! \left(x , 1, y_{0}\right)
F_{195}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{196}\! \left(x , y_{0}\right) = y_{0} F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{7}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x , 1\right)
F_{200}\! \left(x , y_{0}\right) = F_{201}\! \left(x , 1, y_{0}\right)
F_{201}\! \left(x , y_{0}, y_{1}\right) = F_{202}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{202}\! \left(x , y_{0}, y_{1}\right) = F_{203}\! \left(x , 1, y_{0}, y_{1}\right)
F_{203}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} 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_{1}, y_{2}\right)+F_{214}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{206}\! \left(x , y_{0}, y_{1}\right) = F_{205}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{206}\! \left(x , y_{0}, y_{1}\right) = F_{207}\! \left(x , y_{0}, y_{1}, 1\right)
F_{208}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{207}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{0} y_{1}+F_{207}\! \left(x , y_{0}, \frac{1}{y_{0}}, y_{2}\right) y_{2}}{y_{0} y_{1}-y_{2}}
F_{209}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{208}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{211}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{210}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{209}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{2}\right)
F_{210}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{211}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{212}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{213}\! \left(x , y_{0}, y_{1}\right)
F_{212}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{55}\! \left(x , y_{0}, y_{1}\right)
F_{213}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}\right)
F_{214}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{215}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{215}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{204}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{204}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{217}\! \left(x , y_{0}, y_{1}\right) = F_{216}\! \left(x , y_{0}, y_{1}\right)+F_{240}\! \left(x , y_{0}\right)
F_{218}\! \left(x , y_{0}, y_{1}\right) = F_{217}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{219}\! \left(x , y_{0}, y_{1}\right) = F_{218}\! \left(x , y_{0}, y_{1}\right)+F_{238}\! \left(x , y_{1}\right)
F_{219}\! \left(x , y_{0}, y_{1}\right) = F_{220}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{220}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right)+F_{221}\! \left(x , y_{0}, y_{1}\right)
F_{221}\! \left(x , y_{0}, y_{1}\right) = F_{222}\! \left(x , y_{0}, y_{1}\right)
F_{222}\! \left(x , y_{0}, y_{1}\right) = F_{223}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{223}\! \left(x , y_{0}, y_{1}\right) = F_{224}\! \left(x , 1, 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_{226}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{228}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{225}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{17}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{17}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{226}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{227}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{7}\! \left(x \right)
F_{227}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{224}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{224}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{228}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{229}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{229}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{230}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{230}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{231}\! \left(x , y_{0}, y_{1}\right)+F_{235}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{231}\! \left(x , y_{0}, y_{1}\right) = F_{232}\! \left(x , y_{0}, y_{1}\right)+F_{234}\! \left(x , y_{0}\right)
F_{232}\! \left(x , y_{0}, y_{1}\right) = F_{233}\! \left(x , y_{0}, y_{1}\right)+F_{54}\! \left(x , y_{0}\right)
F_{233}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{53}\! \left(x , y_{0}, 1\right) y_{0}-F_{53}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{234}\! \left(x , y_{0}\right) = F_{61}\! \left(x , y_{0}\right)
F_{235}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{236}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{236}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{236}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{237}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{237}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{2} F_{205}\! \left(x , y_{0}, y_{1}\right)
F_{238}\! \left(x , y_{0}\right) = F_{239}\! \left(x \right)+F_{71}\! \left(x , y_{0}\right)
F_{239}\! \left(x \right) = F_{4}\! \left(x \right)
F_{241}\! \left(x , y_{0}\right) = F_{239}\! \left(x \right)+F_{240}\! \left(x , y_{0}\right)
F_{241}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{242}\! \left(x , y_{0}\right)
F_{242}\! \left(x , y_{0}\right) = F_{243}\! \left(x , y_{0}\right)
F_{243}\! \left(x , y_{0}\right) = F_{244}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{244}\! \left(x , y_{0}\right) = F_{245}\! \left(x , 1, y_{0}\right)
F_{245}\! \left(x , y_{0}, y_{1}\right) = F_{246}\! \left(x , y_{0}, y_{1}\right)+F_{248}\! \left(x , y_{0}, y_{1}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{246}\! \left(x , y_{0}, y_{1}\right) = F_{247}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{247}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{245}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{245}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{248}\! \left(x , y_{0}, y_{1}\right) = F_{249}\! \left(x , y_{0}, y_{1}\right)
F_{249}\! \left(x , y_{0}, y_{1}\right) = F_{231}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{0}\right)
F_{250}\! \left(x , y_{0}\right) = F_{251}\! \left(x , 1, y_{0}\right)
F_{251}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{252}\! \left(x , y_{0}, y_{1}\right)
F_{252}\! \left(x , y_{0}, y_{1}\right) = F_{253}\! \left(x , y_{0}, y_{1}\right)
F_{253}\! \left(x , y_{0}, y_{1}\right) = F_{254}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{254}\! \left(x , y_{0}, y_{1}\right) = F_{255}\! \left(x , y_{0}, y_{1}\right)+F_{64}\! \left(x , y_{1}\right)
F_{255}\! \left(x , y_{0}, y_{1}\right) = F_{256}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{0}\right)
F_{256}\! \left(x , y_{0}, y_{1}\right) = F_{257}\! \left(x , y_{0}, 1, y_{1}\right)
F_{257}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{258}\! \left(x , y_{0}, 1, y_{2}\right) y_{2}-F_{258}\! \left(x , y_{0}, \frac{y_{1}}{y_{2}}, y_{2}\right) y_{1}}{-y_{2}+y_{1}}
F_{258}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{259}\! \left(x , y_{1}, y_{2}\right)+F_{260}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{259}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{260}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{261}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{0}\right)
F_{261}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{258}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1} y_{2}-F_{258}\! \left(x , y_{0}, \frac{1}{y_{2}}, y_{2}\right)}{y_{1} y_{2}-1}
F_{262}\! \left(x , y_{0}, y_{1}\right) = F_{263}\! \left(x , y_{0}, y_{1}\right)
F_{264}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{263}\! \left(x , y_{0}, y_{1}\right)+F_{268}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{265}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{264}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{29}\! \left(x , y_{2}\right)
F_{265}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{266}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{266}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{267}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{267}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{267}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{268}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{269}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{274}\! \left(x , y_{0}, y_{1}\right)
F_{269}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{270}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{270}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{270}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{271}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{271}\! \left(x , y_{0}, y_{1}\right) = F_{272}\! \left(x , y_{0}, 1, y_{1}\right)
F_{272}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{273}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{273}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{237}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{38}\! \left(x , y_{0}, y_{1}\right)
F_{274}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{275}\! \left(x , y_{0}, y_{1}\right)
F_{275}\! \left(x , y_{0}, y_{1}\right) = F_{276}\! \left(x , y_{0}, y_{1}\right)
F_{276}\! \left(x , y_{0}, y_{1}\right) = F_{277}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{277}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{259}\! \left(x , 1, y_{1}\right) y_{1}-y_{0} F_{259}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)}{-y_{1}+y_{0}}
F_{278}\! \left(x , y_{0}, y_{1}\right) = F_{279}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{0}\right)
F_{279}\! \left(x , y_{0}, y_{1}\right) = F_{280}\! \left(x , y_{0}, 1, y_{1}\right)
F_{280}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{150}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{281}\! \left(x , y_{0}, y_{1}\right) = F_{282}\! \left(x , y_{0}, y_{1}\right) F_{29}\! \left(x , y_{1}\right)
F_{282}\! \left(x , y_{0}, y_{1}\right) = F_{283}\! \left(x , y_{0}, 1, y_{1}\right)
F_{283}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{149}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{284}\! \left(x , y_{0}\right) = F_{285}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{285}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{10}\! \left(x , y_{0}\right)+F_{10}\! \left(x , 1\right)}{-1+y_{0}}
F_{286}\! \left(x , y_{0}\right) = F_{287}\! \left(x , y_{0}\right)
F_{287}\! \left(x , y_{0}\right) = F_{288}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{0}\right)
F_{288}\! \left(x , y_{0}\right) = F_{289}\! \left(x , y_{0}, 1\right)
F_{289}\! \left(x , y_{0}, y_{1}\right) = F_{58}\! \left(x , y_{0}, y_{0} 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_7(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_8(x))
Eq(F_7(x), x)
Eq(F_8(x), F_9(x))
Eq(F_9(x), F_10(x, 1))
Eq(F_10(x, k_0), F_11(x, k_0) + F_284(x, k_0) + F_286(x, k_0))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0) + F_14(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_7(x))
Eq(F_13(x, k_0), (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))
Eq(F_14(x, k_0), F_15(x, k_0)*F_29(x, k_0))
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), F_17(x, k_0*k_1, k_1))
Eq(F_17(x, k_0, k_1), F_11(x, k_0) + F_18(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_19(x) + F_20(x, k_0, k_1) + F_278(x, k_0, k_1) + F_281(x, k_0, k_1))
Eq(F_19(x), 0)
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1)*F_7(x))
Eq(F_21(x, k_0, k_1), F_22(x, 1, k_0, k_1))
Eq(F_22(x, k_0, k_1, k_2), F_115(x, k_0, k_1, k_2) + F_19(x) + F_23(x, k_0, k_1, k_2) + F_25(x, k_0, k_1, k_2) + F_30(x, k_0, k_1, k_2))
Eq(F_23(x, k_0, k_1, k_2), F_24(x, k_0, k_1, k_2)*F_7(x))
Eq(F_24(x, k_0, k_1, k_2), (k_0*F_22(x, k_0, k_1, k_2) - F_22(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_25(x, k_0, k_1, k_2), F_26(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_26(x, k_0, k_1, k_2), (-k_0*F_27(x, k_0, 1, k_2) + k_1*F_27(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_27(x, k_0, k_1, k_2), -F_28(x, k_0, k_1) + (-k_0*k_1*F_28(x, k_0, k_1) + k_2*F_28(x, k_0, k_2/k_0))/(-k_0*k_1 + k_2))
Eq(F_28(x, k_0, k_1), F_18(x, k_0, k_0*k_1))
Eq(F_29(x, k_0), k_0*x)
Eq(F_30(x, k_0, k_1, k_2), F_29(x, k_1)*F_31(x, k_0, k_1, k_2))
Eq(F_31(x, k_0, k_1, k_2), k_2*F_32(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_34(x, k_0, k_1)*F_7(x))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_1, 1))
Eq(F_35(x, k_0, k_1, k_2), F_262(x, k_0, k_1) + F_36(x, k_0, k_1, k_2))
Eq(F_36(x, k_0, k_1, k_2), (-k_0*F_37(x, k_0/k_1, k_1, k_2) + k_1*F_37(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_37(x, k_0, k_1, k_2), F_38(x, k_0*k_1, k_1*k_2))
Eq(F_38(x, k_0, k_1), F_17(x, k_0, k_1) + F_39(x, k_0, k_1))
Eq(F_39(x, k_0, k_1), F_40(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1)*F_7(x))
Eq(F_41(x, k_0, k_1), F_42(x, 1, k_0, k_1))
Eq(F_42(x, k_0, k_1, k_2), F_43(x, k_0, k_1, k_2) + F_45(x, k_0, k_1, k_2) + F_47(x, k_0, k_1, k_2))
Eq(F_43(x, k_0, k_1, k_2), F_22(x, k_0, k_1, k_2) + F_44(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), (-k_0*F_11(x, k_0) + k_1*F_11(x, k_1))/(-k_0 + k_1))
Eq(F_45(x, k_0, k_1, k_2), F_46(x, k_0, k_1, k_2)*F_7(x))
Eq(F_46(x, k_0, k_1, k_2), (k_0*F_42(x, k_0, k_1, k_2) - F_42(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_47(x, k_0, k_1, k_2), F_48(x, k_0, k_1, k_2))
Eq(F_48(x, k_0, k_1, k_2), F_29(x, k_0)*F_49(x, k_0, k_1, k_2))
Eq(F_49(x, k_0, k_1, k_2), F_234(x, k_0) + F_50(x, k_0, k_1, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2) + F_54(x, k_0))
Eq(F_51(x, k_0, k_1, k_2), (-k_0*F_52(x, k_0, 1, k_2) + k_1*F_52(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_52(x, k_0, k_1, k_2), (-k_0*k_1*F_53(x, k_0, k_1) + k_2*F_53(x, k_0, k_2/k_0))/(-k_0*k_1 + k_2))
Eq(F_53(x, k_0, k_1), F_38(x, k_0, k_0*k_1))
Eq(F_54(x, k_0), F_55(x, k_0, 1))
Eq(F_55(x, k_0, k_1), F_56(x, k_0, k_0*k_1))
Eq(F_56(x, k_0, k_1), F_57(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_57(x, k_0, k_1) + F_60(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_29(x, k_1)*F_58(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_18(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_38(x, k_0, k_1) + F_61(x, k_0))
Eq(F_61(x, k_0), k_0*F_62(x, k_0))
Eq(F_62(x, k_0), F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0)*F_7(x))
Eq(F_64(x, k_0), F_65(x, k_0, 1))
Eq(F_65(x, k_0, k_1), F_66(x, k_0, k_0*k_1))
Eq(F_67(x, k_0, k_1), F_250(x, k_0) + F_66(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_202(x, k_0, k_1) + F_67(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_29(x, k_1)*F_68(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_70(x, k_0, k_1))
Eq(F_70(x, k_0, k_1), F_216(x, k_0, k_1) + F_71(x, k_1))
Eq(F_71(x, k_0), F_191(x, k_0) + F_72(x, k_0))
Eq(F_72(x, k_0), F_183(x, k_0) + F_19(x) + F_73(x, k_0))
Eq(F_73(x, k_0), F_7(x)*F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, 1, k_0))
Eq(F_75(x, k_0, k_1), F_19(x) + F_76(x, k_0, k_1) + F_78(x, k_0, k_1) + F_80(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_7(x)*F_77(x, k_0, k_1))
Eq(F_77(x, k_0, k_1), (k_0*F_75(x, k_0, k_1) - F_75(x, 1, k_1))/(k_0 - 1))
Eq(F_78(x, k_0, k_1), F_29(x, k_0)*F_79(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), -F_28(x, k_0, 1) + (-k_0*F_28(x, k_0, 1) + k_1*F_28(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_81(x, k_0, k_1), F_1(x) + F_180(x, k_0, k_1) + F_182(x, k_0, k_1) + F_80(x, k_0, k_1))
Eq(F_43(x, k_0, k_1, k_2), F_81(x, k_0, k_2) + F_82(x, k_0, k_1, k_2))
Eq(F_82(x, k_0, k_1, k_2), F_19(x) + F_83(x, k_0, k_1, k_2) + F_85(x, k_0, k_1, k_2) + F_88(x, k_0, k_1, k_2) + F_91(x, k_0, k_1, k_2))
Eq(F_83(x, k_0, k_1, k_2), F_7(x)*F_84(x, k_0, k_1, k_2))
Eq(F_84(x, k_0, k_1, k_2), (k_0*F_82(x, k_0, k_1, k_2) - F_82(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_85(x, k_0, k_1, k_2), F_29(x, k_0)*F_86(x, k_0, k_1, k_2))
Eq(F_86(x, k_0, k_1, k_2), -F_87(x, k_0, 1, k_2) + (-k_0*F_87(x, k_0, 1, k_2) + k_1*F_87(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_87(x, k_0, k_1, k_2), -F_28(x, k_0, k_2/k_0) + (-k_0*k_1*F_28(x, k_0, k_1) + k_2*F_28(x, k_0, k_2/k_0))/(-k_0*k_1 + k_2))
Eq(F_88(x, k_0, k_1, k_2), F_29(x, k_1)*F_89(x, k_0, k_1, k_2))
Eq(F_89(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2) + F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), (-k_0*F_16(x, k_0/k_1, k_1) + k_1*F_16(x, 1, k_1))/(-k_0 + k_1))
Eq(F_91(x, k_0, k_1, k_2), F_29(x, k_2)*F_92(x, k_0, k_1, k_2))
Eq(F_92(x, k_0, k_1, k_2), F_93(x, k_0, k_1, k_2))
Eq(F_94(x, k_0, k_1, k_2), F_93(x, k_0, k_1, k_2) + F_98(x, k_0, k_2))
Eq(F_94(x, k_0, k_1, k_2), F_43(x, k_0, k_1, k_2) + F_95(x, k_0, k_1, k_2))
Eq(F_95(x, k_0, k_1, k_2), k_2*F_96(x, k_0, k_1, k_2))
Eq(F_96(x, k_0, k_1, k_2), F_97(x, k_0, k_1, k_2))
Eq(F_97(x, k_0, k_1, k_2), F_42(x, k_0, k_1, k_2)*F_7(x))
Eq(F_98(x, k_0, k_1), F_1(x) + F_101(x, k_0, k_1) + F_179(x, k_0, k_1) + F_80(x, k_0, k_1) + F_99(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_100(x, k_0, k_1)*F_7(x))
Eq(F_100(x, k_0, k_1), (k_0*F_98(x, k_0, k_1) - F_98(x, 1, k_1))/(k_0 - 1))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1)*F_29(x, k_0))
Eq(F_102(x, k_0, k_1), F_103(x, k_0, 1, k_1))
Eq(F_104(x, k_0, k_1, k_2), (k_1*k_2*F_103(x, k_0, k_1, k_2) - F_103(x, k_0, 1/k_2, k_2))/(k_1*k_2 - 1))
Eq(F_105(x, k_0, k_1, k_2), F_104(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_106(x, k_0, k_1, k_2), F_1(x) + F_105(x, k_0, k_1, k_2) + F_111(x, k_0, k_1, k_2) + F_113(x, k_0, k_1*k_2) + F_114(x, k_0, k_1*k_2) + F_178(x, k_0, k_1, k_2))
Eq(F_106(x, k_0, k_1, k_2), F_107(x, k_0, k_1*k_2) + F_108(x, k_0, k_1, k_2))
Eq(F_107(x, k_0, k_1), F_43(x, k_0, 1, k_1))
Eq(F_108(x, k_0, k_1, k_2), k_2*F_109(x, k_0, k_2))
Eq(F_109(x, k_0, k_1), F_110(x, k_0, 1, k_1))
Eq(F_110(x, k_0, k_1, k_2), F_96(x, k_0, k_1, k_1*k_2))
Eq(F_111(x, k_0, k_1, k_2), F_112(x, k_0, k_1, k_2)*F_7(x))
Eq(F_112(x, k_0, k_1, k_2), (k_0*F_106(x, k_0, k_1, k_2) - F_106(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_113(x, k_0, k_1), F_88(x, k_0, 1, k_1))
Eq(F_114(x, k_0, k_1), F_115(x, k_0, 1, k_1))
Eq(F_115(x, k_0, k_1, k_2), F_116(x, k_0, k_1, k_2)*F_29(x, k_2))
Eq(F_116(x, k_0, k_1, k_2), F_117(x, k_0, k_1, k_2) + F_177(x, k_0, k_1, k_2))
Eq(F_117(x, k_0, k_1, k_2), F_118(x, k_0, k_1, k_2) + F_44(x, k_0, k_1))
Eq(F_118(x, k_0, k_1, k_2), k_2*F_119(x, k_0, k_1))
Eq(F_120(x, k_0, k_1), F_119(x, k_0, k_1) + F_175(x, k_0, k_1))
Eq(F_121(x, k_0, k_1), F_120(x, k_0, k_1) + F_123(x, k_0, k_1))
Eq(F_122(x, k_0, k_1), F_121(x, k_0, k_1)*F_7(x))
Eq(F_123(x, k_0, k_1), F_1(x) + F_122(x, k_0, k_1) + F_172(x, k_0, k_1) + F_173(x, k_0, k_1) + F_174(x, k_0, k_1))
Eq(F_123(x, k_0, k_1), F_124(x, k_0) + F_171(x, k_0, k_1))
Eq(F_125(x, k_0), F_124(x, k_0) + F_169(x, k_0))
Eq(F_125(x, k_0), F_1(x) + F_126(x, k_0) + F_130(x, k_0) + F_136(x, k_0) + F_137(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0, 1))
Eq(F_127(x, k_0, k_1), F_128(x, k_0, 1, k_1))
Eq(F_128(x, k_0, k_1, k_2), F_129(x, k_0, k_1, k_2)*F_7(x))
Eq(F_129(x, k_0, k_1, k_2), (k_0*F_43(x, k_0, k_1, k_2) - F_43(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_130(x, k_0), F_131(x, k_0, 1))
Eq(F_131(x, k_0, k_1), F_132(x, k_0, 1, k_1))
Eq(F_132(x, k_0, k_1, k_2), F_133(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_133(x, k_0, k_1, k_2), (-k_1*F_134(x, k_0, k_1) + k_2*F_134(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_134(x, k_0, k_1), (-k_0*F_135(x, k_0, 1) + k_1*F_135(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_135(x, k_0, k_1), F_17(x, k_0, k_0*k_1))
Eq(F_136(x, k_0), F_113(x, k_0, 1))
Eq(F_137(x, k_0), F_138(x, k_0)*F_7(x))
Eq(F_138(x, k_0), F_139(x, k_0) + F_164(x, k_0))
Eq(F_140(x, k_0), F_139(x, k_0) + F_142(x, k_0))
Eq(F_140(x, k_0), F_141(x, k_0, 1))
Eq(F_141(x, k_0, k_1), F_89(x, k_0, 1, k_1))
Eq(F_142(x, k_0), F_143(x, k_0, 1))
Eq(F_143(x, k_0, k_1), F_144(x, k_0, k_1))
Eq(F_144(x, k_0, k_1), F_145(x, k_0, k_1, 1))
Eq(F_145(x, k_0, k_1, k_2), F_146(x, k_0, k_1, k_2))
Eq(F_146(x, k_0, k_1, k_2), F_147(x, k_0, k_1, k_1*k_2))
Eq(F_147(x, k_0, k_1, k_2), (-k_0*F_148(x, k_0, k_1, k_2) + F_148(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_149(x, k_0, k_1, k_2), F_148(x, k_0, k_1, k_2) + F_153(x, k_0, k_2))
Eq(F_149(x, k_0, k_1, k_2), F_150(x, k_0, k_1, k_2) + F_17(x, k_0, k_1))
Eq(F_150(x, k_0, k_1, k_2), k_2*F_151(x, k_0, k_1))
Eq(F_151(x, k_0, k_1), F_152(x, k_0, k_1))
Eq(F_152(x, k_0, k_1), F_38(x, k_0, k_1)*F_7(x))
Eq(F_153(x, k_0, k_1), F_1(x) + F_14(x, k_0) + F_154(x, k_0, k_1) + F_163(x, k_0, k_1))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1)*F_7(x))
Eq(F_155(x, k_0, k_1), F_156(x, 1, k_0, k_1))
Eq(F_156(x, k_0, k_1, k_2), F_1(x) + F_157(x, k_0, k_1, k_2) + F_159(x, k_0, k_1, k_2) + F_161(x, k_0, k_1) + F_162(x, k_0, k_1, k_2))
Eq(F_157(x, k_0, k_1, k_2), F_158(x, k_0, k_1, k_2)*F_7(x))
Eq(F_158(x, k_0, k_1, k_2), (k_0*F_156(x, k_0, k_1, k_2) - F_156(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_159(x, k_0, k_1, k_2), F_160(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_103(x, k_0, k_1, k_2), F_160(x, k_0, k_1*k_2, k_2))
Eq(F_161(x, k_0, k_1), F_29(x, k_1)*F_90(x, k_0, k_1))
Eq(F_162(x, k_0, k_1, k_2), F_29(x, k_2)*F_44(x, k_0, k_1))
Eq(F_163(x, k_0, k_1), F_11(x, k_0)*F_29(x, k_1))
Eq(F_164(x, k_0), F_165(x, k_0, 1))
Eq(F_165(x, k_0, k_1), F_166(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_167(x, k_0, 1, k_1))
Eq(F_167(x, k_0, k_1, k_2), F_168(x, k_0, k_1, k_1*k_2))
Eq(F_94(x, k_0, k_1, k_2), F_156(x, k_0, k_1, k_2) + F_168(x, k_0, k_1, k_2))
Eq(F_169(x, k_0), F_170(x, k_0, 1))
Eq(F_170(x, k_0, k_1), F_82(x, k_0, 1, k_1))
Eq(F_171(x, k_0, k_1), F_82(x, k_0, k_1, 1))
Eq(F_172(x, k_0, k_1), F_128(x, k_0, k_1, 1))
Eq(F_173(x, k_0, k_1), F_132(x, k_0, k_1, 1))
Eq(F_174(x, k_0, k_1), F_88(x, k_0, k_1, 1))
Eq(F_175(x, k_0, k_1), F_176(x, k_0, k_1, 1))
Eq(F_177(x, k_0, k_1, k_2), F_176(x, k_0, k_1, k_2) + F_22(x, k_0, k_1, k_2))
Eq(F_177(x, k_0, k_1, k_2), F_168(x, k_0, k_1, k_2))
Eq(F_178(x, k_0, k_1, k_2), F_107(x, k_0, k_2)*F_29(x, k_2))
Eq(F_179(x, k_0, k_1), F_29(x, k_1)*F_81(x, k_0, k_1))
Eq(F_180(x, k_0, k_1), F_181(x, k_0, k_1)*F_7(x))
Eq(F_181(x, k_0, k_1), (k_0*F_81(x, k_0, k_1) - F_81(x, 1, k_1))/(k_0 - 1))
Eq(F_182(x, k_0, k_1), F_134(x, k_0, k_1)*F_29(x, k_0))
Eq(F_183(x, k_0), F_184(x, k_0)*F_29(x, k_0))
Eq(F_184(x, k_0), F_1(x) + F_183(x, k_0) + F_185(x, k_0) + F_187(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0)*F_7(x))
Eq(F_186(x, k_0), F_98(x, 1, k_0))
Eq(F_187(x, k_0), F_188(x, 1, k_0))
Eq(F_188(x, k_0, k_1), F_189(x, k_0*k_1, k_1))
Eq(F_189(x, k_0, k_1), F_190(x, k_0)*F_29(x, k_1))
Eq(F_190(x, k_0), F_0(x) + F_72(x, k_0))
Eq(F_191(x, k_0), F_192(x, k_0))
Eq(F_192(x, k_0), F_193(x, k_0)*F_7(x))
Eq(F_193(x, k_0), F_194(x, k_0) + F_196(x, k_0))
Eq(F_194(x, k_0), F_195(x, 1, k_0))
Eq(F_195(x, k_0, k_1), F_70(x, k_0, k_0*k_1))
Eq(F_196(x, k_0), k_0*F_197(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)*F_7(x))
Eq(F_199(x), F_200(x, 1))
Eq(F_200(x, k_0), F_201(x, 1, k_0))
Eq(F_201(x, k_0, k_1), F_202(x, k_0, k_0*k_1))
Eq(F_202(x, k_0, k_1), F_203(x, 1, k_0, k_1))
Eq(F_203(x, k_0, k_1, k_2), 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_1, k_2) + F_214(x, k_0, k_1, k_2))
Eq(F_206(x, k_0, k_1), F_205(x, k_0, k_0*k_1))
Eq(F_206(x, k_0, k_1), F_207(x, k_0, k_1, 1))
Eq(F_208(x, k_0, k_1, k_2), (-k_0*k_1*F_207(x, k_0, k_1/k_2, k_2) + k_2*F_207(x, k_0, 1/k_0, k_2))/(-k_0*k_1 + k_2))
Eq(F_209(x, k_0, k_1, k_2), F_208(x, k_0, k_1, k_2) + F_211(x, k_0, k_1, k_2))
Eq(F_210(x, k_0, k_1, k_2), F_209(x, k_0, k_1, k_2)*F_29(x, k_2))
Eq(F_210(x, k_0, k_1, k_2), F_27(x, k_0, k_1, k_2))
Eq(F_211(x, k_0, k_1, k_2), F_212(x, k_0, k_1, k_2) + F_213(x, k_0, k_1))
Eq(F_212(x, k_0, k_1, k_2), F_52(x, k_0, k_1, k_2) + F_55(x, k_0, k_1))
Eq(F_213(x, k_0, k_1), F_61(x, k_0))
Eq(F_214(x, k_0, k_1, k_2), F_215(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_215(x, k_0, k_1, k_2), (k_1*F_204(x, k_0, k_1, k_2) - F_204(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_217(x, k_0, k_1), F_216(x, k_0, k_1) + F_240(x, k_0))
Eq(F_218(x, k_0, k_1), F_217(x, k_0*k_1, k_1))
Eq(F_219(x, k_0, k_1), F_218(x, k_0, k_1) + F_238(x, k_1))
Eq(F_219(x, k_0, k_1), F_220(x, k_0*k_1, k_1))
Eq(F_220(x, k_0, k_1), F_17(x, k_0, k_1) + F_221(x, k_0, k_1))
Eq(F_221(x, k_0, k_1), F_222(x, k_0, k_1))
Eq(F_222(x, k_0, k_1), F_223(x, k_0, k_1)*F_7(x))
Eq(F_223(x, k_0, k_1), F_224(x, 1, k_0, k_1))
Eq(F_224(x, k_0, k_1, k_2), F_225(x, k_0, k_1, k_2) + F_226(x, k_0, k_1, k_2) + F_228(x, k_0, k_1, k_2))
Eq(F_225(x, k_0, k_1, k_2), (-k_0*F_17(x, k_0, k_2) + k_1*F_17(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_226(x, k_0, k_1, k_2), F_227(x, k_0, k_1, k_2)*F_7(x))
Eq(F_227(x, k_0, k_1, k_2), (k_0*F_224(x, k_0, k_1, k_2) - F_224(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_228(x, k_0, k_1, k_2), F_229(x, k_0, k_1, k_2))
Eq(F_229(x, k_0, k_1, k_2), F_230(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_230(x, k_0, k_1, k_2), F_231(x, k_0, k_1) + F_235(x, k_0, k_1, k_2))
Eq(F_231(x, k_0, k_1), F_232(x, k_0, k_1) + F_234(x, k_0))
Eq(F_232(x, k_0, k_1), F_233(x, k_0, k_1) + F_54(x, k_0))
Eq(F_233(x, k_0, k_1), (-k_0*F_53(x, k_0, 1) + k_1*F_53(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_234(x, k_0), F_61(x, k_0))
Eq(F_235(x, k_0, k_1, k_2), (-k_0*F_236(x, k_0, 1, k_2) + k_1*F_236(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_236(x, k_0, k_1, k_2), F_237(x, k_0, k_0*k_1, k_2))
Eq(F_237(x, k_0, k_1, k_2), k_2*F_205(x, k_0, k_1))
Eq(F_238(x, k_0), F_239(x) + F_71(x, k_0))
Eq(F_239(x), F_4(x))
Eq(F_241(x, k_0), F_239(x) + F_240(x, k_0))
Eq(F_241(x, k_0), F_11(x, k_0) + F_242(x, k_0))
Eq(F_242(x, k_0), F_243(x, k_0))
Eq(F_243(x, k_0), F_244(x, k_0)*F_7(x))
Eq(F_244(x, k_0), F_245(x, 1, k_0))
Eq(F_245(x, k_0, k_1), F_246(x, k_0, k_1) + F_248(x, k_0, k_1) + F_44(x, k_0, k_1))
Eq(F_246(x, k_0, k_1), F_247(x, k_0, k_1)*F_7(x))
Eq(F_247(x, k_0, k_1), (k_0*F_245(x, k_0, k_1) - F_245(x, 1, k_1))/(k_0 - 1))
Eq(F_248(x, k_0, k_1), F_249(x, k_0, k_1))
Eq(F_249(x, k_0, k_1), F_231(x, k_0, k_1)*F_29(x, k_0))
Eq(F_250(x, k_0), F_251(x, 1, k_0))
Eq(F_251(x, k_0, k_1), k_1*F_252(x, k_0, k_1))
Eq(F_252(x, k_0, k_1), F_253(x, k_0, k_1))
Eq(F_253(x, k_0, k_1), F_254(x, k_0, k_1)*F_7(x))
Eq(F_254(x, k_0, k_1), F_255(x, k_0, k_1) + F_64(x, k_1))
Eq(F_255(x, k_0, k_1), F_256(x, k_0, k_1)*F_29(x, k_0))
Eq(F_256(x, k_0, k_1), F_257(x, k_0, 1, k_1))
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_259(x, k_1, k_2) + F_260(x, k_0, k_1, k_2))
Eq(F_259(x, k_0, k_1), F_66(x, k_0*k_1, k_1))
Eq(F_260(x, k_0, k_1, k_2), F_261(x, k_0, k_1, k_2)*F_29(x, k_0))
Eq(F_261(x, k_0, k_1, k_2), (k_1*k_2*F_258(x, k_0, k_1, k_2) - F_258(x, k_0, 1/k_2, k_2))/(k_1*k_2 - 1))
Eq(F_262(x, k_0, k_1), F_263(x, k_0, k_1))
Eq(F_264(x, k_0, k_1, k_2), F_263(x, k_0, k_1) + F_268(x, k_0, k_1, k_2))
Eq(F_265(x, k_0, k_1, k_2), F_264(x, k_0, k_1, k_2)*F_29(x, k_2))
Eq(F_265(x, k_0, k_1, k_2), F_266(x, k_0, k_1, k_2))
Eq(F_266(x, k_0, k_1, k_2), (-k_0*F_267(x, k_0/k_1, k_1, k_2) + k_1*F_267(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_267(x, k_0, k_1, k_2), F_18(x, k_0*k_1, k_1*k_2))
Eq(F_268(x, k_0, k_1, k_2), F_269(x, k_0, k_1, k_2) + F_274(x, k_0, k_1))
Eq(F_269(x, k_0, k_1, k_2), (-k_0*F_270(x, k_0/k_1, k_1, k_2) + k_1*F_270(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_270(x, k_0, k_1, k_2), F_271(x, k_0*k_1, k_1*k_2))
Eq(F_271(x, k_0, k_1), F_272(x, k_0, 1, k_1))
Eq(F_272(x, k_0, k_1, k_2), F_273(x, k_0, k_1*k_2, k_2))
Eq(F_273(x, k_0, k_1, k_2), F_237(x, k_0, k_1, k_2) + F_38(x, k_0, k_1))
Eq(F_274(x, k_0, k_1), k_1*F_275(x, k_0, k_1))
Eq(F_275(x, k_0, k_1), F_276(x, k_0, k_1))
Eq(F_276(x, k_0, k_1), F_277(x, k_0, k_1)*F_7(x))
Eq(F_277(x, k_0, k_1), (-k_0*F_259(x, k_0/k_1, k_1) + k_1*F_259(x, 1, k_1))/(-k_0 + k_1))
Eq(F_278(x, k_0, k_1), F_279(x, k_0, k_1)*F_29(x, k_0))
Eq(F_279(x, k_0, k_1), F_280(x, k_0, 1, k_1))
Eq(F_280(x, k_0, k_1, k_2), F_150(x, k_0, k_0*k_1, k_2))
Eq(F_281(x, k_0, k_1), F_282(x, k_0, k_1)*F_29(x, k_1))
Eq(F_282(x, k_0, k_1), F_283(x, k_0, 1, k_1))
Eq(F_283(x, k_0, k_1, k_2), F_149(x, k_0, k_1*k_2, k_2))
Eq(F_284(x, k_0), F_285(x, k_0)*F_7(x))
Eq(F_285(x, k_0), (k_0*F_10(x, k_0) - F_10(x, 1))/(k_0 - 1))
Eq(F_286(x, k_0), F_287(x, k_0))
Eq(F_287(x, k_0), F_288(x, k_0)*F_29(x, k_0))
Eq(F_288(x, k_0), F_289(x, k_0, 1))
Eq(F_289(x, k_0, k_1), F_58(x, k_0, k_0*k_1))
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, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 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, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 3, 1, 4], [0, 3, 1, 2, 4], [0, 3, 2, 1, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 3, 2, 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