01243_01342_01432_02341_02431_03421
Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3299, 18945, 111577, 669245, 4069941, 25020310, 155169018, 969357579, 6093331339, 38508360743, 244512323265, 1559064186817, 9978329650936, 64080546275092, 412797089499636, 2666706555113244, 17272013813072333, 112138031614798155, 729672781945684394, 4757733235344206059, 31081884129801732376, 203420443984026822855, 1333557876803464018694, 8756161632400530934823, 57578318358806582433818, 379148854727944699840911, 2499951149950374465002876, 16504127423430615339186874, 109084661306853961817762817, 721801792538179016756135947, 4781129369750543854388706054, 31701387559050708752633708592, 210397184194949363444731831366, 1397640906215051780578537801099, 9292377428659516034200243866997, 61832445308517678557602072563209, 411763905777830092169963522839147, 2744147020874014970829284439031677, 18301203883620266853172147810547652, 122138319756582990569755431606907800, 815665033433456673872539018341431629, 5450643018741612422285475353236470964, 36445900065178191290473081153785245162, 243839666676652529322556585371949651314, 1632319029220615513989912862608562520925, 10933055733731693418600354457809836111066, 73266464407532525038251572639553262781506, 491233359354524381089497830734365699150080, 3295198945989661389478364810943179802229657, 22114607214697234675040300481863518538524686, 148481939086241674044976103021599955121582123, 997374366162759105467593718725671422398838448, 6702342769808449146795157479243596582377359894, 45058105342220618653516963674620686901384100042, 303034002563516997246794146351717356741770228134, 2038808798604666452879052999820527064295361955794, 13722181095716781023856460955699532400639022234889, 92390294594317359410797254989660744331564824525039, 622273614443344389534584233293225109721343025469601, 4192602916142559249244547626584162164227923878455375, 28257196301131307405690529779871479748828498439308477, 190508019880595225782510371987930045516410861058986256, 1284790623130884768261875289798412886840187854334312403, 8667274752381473116750981620185695950103236210021665436, 58487121342739121597401478227994689202605341383240291784, 394786161995302455027601845253318127193017339592428888153, 2665534111460293403839681667996478919654725181148492588417, 18002134638085862695827895034408972046105978073052534084245, 121612472814485962911623007229186724498897172700122497556768, 821757395838237980873318770386668728280090723868710975817856, 5554150718435759882077990371339265109169740397451909826526206, 37548923773770426827938357592849380705546017414139751950718455, 253910394404322437575540273942609089390822884093843248039887373, 1717370807629727640992309525188393872001226485953667166718911642, 11618386833881585696667676021903835085905753063870142217516705465, 78618252366131478800665751468111721592962290784462256745174993254, 532101469452956816336464998078454231323625814838199494559269616341, 3602109018975462483214864072903024983246492841230805663373612762227, 24389811711829946919574973925294461927655347090607631809176582602533, 165176094976669302878064715374382984319231519412026608096168397978396, 1118848064108876715616068172749006203699635757965413450745395570709370, 7580158666587493942368492200102128619504094386157026337662225596414900, 51364952470487029203614422815801427060509760586423329133983068579655902, 348124917747744449212477328444908846990244652289679852563671998493603421, 2359832753963524013319242642292851074583586723585335484156716040939707148, 15999395025389157300174860213331294052881050205631821019808602782659255004, 108492695399800000464740507148961472613980808590128292962382115585358199534, 735818103070111919736995060002228009638134014542749154108246684692137408424, 4991280179448669432066685861294778192206848106738189298934353757149244038377, 33862846942099819519156058019101688948999294029206545846373323916086763197135, 229775434176251723728262097363189347241644116023604251371821707021155542900949, 1559376364081087076183190556020422276707561590512589027827648519506988478331953, 10584349677019903916201597444267457599766225227309289924848222865352216422894581, 71852517266582670274394223909323663333139151918783940868969421715860710223351145
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24983/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[10,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[11,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[10,x]*F[9,x,k[0]]
F[9,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[10,x] = x
F[11,x,k[0]] = F[12,x,k[0]]*F[25,x,k[0]]
F[12,x,k[0]] = F[13,x,1,k[0]]
F[13,x,k[0],k[1]] = F[14,x,k[0]*k[1],k[1]]
F[14,x,k[0],k[1]] = F[15,x,k[1]]+F[153,x,k[0],k[1]]
F[15,x,k[0]] = F[0,x]+F[16,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]*F[25,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0],1]
F[19,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[152,x,k[0],k[1]]+F[21,x,k[1]]+F[28,x,k[0],k[1]]
F[21,x,k[0]] = F[22,x,k[0]]+F[26,x,k[0]]
F[22,x,k[0]] = F[1,x]+F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[22,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = k[0]*x
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[10,x]*F[18,x,k[0]]
F[28,x,k[0],k[1]] = F[10,x]*F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[30,x,k[0],k[1]]
F[30,x,k[0],k[1]] = F[150,x,k[0],k[1]]+F[31,x,k[1]]
F[31,x,k[0]] = F[32,x,1,k[0]]
F[32,x,k[0],k[1]] = F[134,x,k[0],k[1]]+F[136,x,k[0],k[1]]+F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[21,x,k[1]]+F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[25,x,k[0]]*F[36,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1],1]
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],k[2]] = F[124,x,k[0],k[1],k[2]]+F[39,x,k[0],k[2]]
F[40,x,k[0],k[1]] = F[25,x,k[1]]*F[39,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[42,x,k[0],k[1]] = -k[1]*(F[41,x,k[0],1]-F[41,x,k[0],k[1]])/(-1+k[1])
F[43,x,k[0],k[1]] = F[123,x,k[0]]+F[42,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],k[1]]*k[1]-F[44,x,k[0],1])/(-1+k[1])
F[44,x,k[0],k[1]] = F[21,x,k[1]]+F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[25,x,k[0]]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[48,x,k[0],k[1],1]
F[48,x,k[0],k[1],k[2]] = F[49,x,k[0],k[1],k[1]*k[2]]
F[49,x,k[0],k[1],k[2]] = F[50,x,k[1],k[0],k[2]]
F[50,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]+F[51,x,k[1],k[2]]
F[52,x,k[0],k[1]] = F[51,x,k[0],k[1]]+F[61,x,k[0],k[1]]
F[52,x,k[0],k[1]] = F[53,x,k[1]]+F[70,x,k[0],k[1]]
F[53,x,k[0]] = F[54,x,k[0]]+F[57,x,k[0]]
F[54,x,k[0]] = F[21,x,k[0]]+F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[10,x]*F[31,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]+F[69,x,k[0]]+F[7,x]
F[58,x,k[0]] = F[59,x,k[0]]
F[59,x,k[0]] = F[10,x]*F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,1,k[0]]
F[61,x,k[0],k[1]] = F[62,x,k[0],k[1]]
F[62,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[67,x,k[0],k[1]]+F[7,x]
F[63,x,k[0],k[1]] = F[64,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[10,x]*F[65,x,k[0],k[1]]
F[65,x,k[0],k[1]] = F[66,x,k[0],k[1]]
F[66,x,k[0],k[1]] = 1/(-1+k[0])*(F[61,x,k[0],k[1]]*k[0]-F[61,x,1,k[1]])
F[67,x,k[0],k[1]] = F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[10,x]*F[52,x,k[0],k[1]]
F[69,x,k[0]] = F[10,x]*F[53,x,k[0]]
F[70,x,k[0],k[1]] = F[71,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[121,x,k[0]]*F[72,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[73,x,k[0],k[1]]
F[73,x,k[0],k[1]] = F[74,x,k[0],1,k[1]]
F[74,x,k[0],k[1],k[2]] = F[75,x,k[1],k[0],k[2]]
F[76,x,k[0],k[1],k[2]] = F[114,x,k[1],k[2]]+F[75,x,k[0],k[1],k[2]]
F[76,x,k[0],k[1],k[2]] = F[77,x,k[1],k[0],k[2]]
F[78,x,k[0],k[1],k[2]] = F[25,x,k[0]]*F[77,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,k[0],k[1],k[2]] = F[20,x,k[1],k[2]]+F[79,x,k[0],k[1],k[2]]
F[80,x,k[0],k[1],k[2]] = F[113,x,k[0],k[1],k[2]]+F[33,x,k[0],k[2]]+F[81,x,k[0],k[1],k[2]]
F[81,x,k[0],k[1],k[2]] = F[10,x]*F[82,x,k[0],k[1],k[2]]
F[82,x,k[0],k[1],k[2]] = F[83,x,k[1],k[0],k[2]]
F[83,x,k[0],k[1],k[2]] = F[30,x,k[0],k[2]]+F[84,x,k[0],k[1],k[2]]
F[84,x,k[0],k[1],k[2]] = F[85,x,k[0],k[1],k[2]]+F[87,x,k[0],k[1],k[2]]
F[85,x,k[0],k[1],k[2]] = -k[1]*(F[86,x,k[0],1,k[2]]-F[86,x,k[0],k[1],k[2]])/(-1+k[1])
F[86,x,k[0],k[1],k[2]] = F[79,x,k[1],k[0],k[2]]
F[87,x,k[0],k[1],k[2]] = F[88,x,k[1],k[2]]
F[88,x,k[0],k[1]] = F[89,x,1,k[0],k[1]]
F[89,x,k[0],k[1],k[2]] = k[1]*F[90,x,k[0],k[2]]
F[90,x,k[0],k[1]] = F[91,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[104,x,k[0],k[1]]+F[91,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[101,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[94,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[10,x]*F[36,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[10,x]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = 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]] = 1/(-1+k[1])*(F[99,x,k[0],k[1],k[2]]*k[1]-F[99,x,k[0],1,k[2]])
F[99,x,k[0],k[1],k[2]] = F[100,x,k[1],k[0],k[2]]
F[100,x,k[0],k[1],k[2]] = k[1]*F[92,x,k[0],k[2]]
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[25,x,k[0]]
F[103,x,k[0],k[1]] = F[92,x,k[0],k[1]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]
F[105,x,k[0],k[1]] = F[10,x]*F[106,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[106,x,k[0],k[1]]*F[25,x,k[0]]
F[107,x,k[0],k[1]] = F[108,x,k[0],k[1]]
F[108,x,k[0],k[1]] = F[109,x,k[0],k[1]]+F[34,x,k[0],k[1]]
F[109,x,k[0],k[1]] = F[110,x,k[0],k[1]]
F[110,x,k[0],k[1]] = F[10,x]*F[111,x,k[0],k[1]]
F[111,x,k[0],k[1]] = F[112,x,k[0],k[1]]+F[88,x,k[0],k[1]]
F[112,x,k[0],k[1]] = -k[0]*(F[108,x,1,k[1]]-F[108,x,k[0],k[1]])/(-1+k[0])
F[113,x,k[0],k[1],k[2]] = F[25,x,k[1]]*F[49,x,k[0],k[1],k[2]]
F[106,x,k[0],k[1]] = F[114,x,k[0],k[1]]+F[115,x,k[0],k[1]]
F[116,x,k[0],k[1]] = F[115,x,k[0],k[1]]*F[25,x,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],1]
F[118,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[1]*k[2]]
F[80,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]+F[120,x,k[0],k[2]]
F[120,x,k[0],k[1]] = F[108,x,k[0],k[1]]+F[54,x,k[1]]
F[121,x,k[0]] = k[0]*x
F[122,x,k[0],k[1],k[2]] = F[119,x,k[1],k[0],k[2]]
F[123,x,k[0]] = F[44,x,k[0],1]
F[124,x,k[0],k[1],k[2]] = F[125,x,k[0],k[1],k[2]]
F[125,x,k[0],k[1],k[2]] = F[126,x,k[0],k[1],k[2]]+F[130,x,k[0],k[1],k[2]]+F[132,x,k[0],k[1],k[2]]+F[7,x]
F[126,x,k[0],k[1],k[2]] = F[10,x]*F[127,x,k[0],k[1],k[2]]
F[127,x,k[0],k[1],k[2]] = F[128,x,k[1],k[0],k[2]]
F[128,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[129,x,k[0],k[1],k[2]]*k[1]-F[129,x,k[0],1,k[2]])
F[129,x,k[0],k[1],k[2]] = F[125,x,k[1],k[0],k[2]]
F[130,x,k[0],k[1],k[2]] = F[131,x,k[0],k[1],k[2]]
F[131,x,k[0],k[1],k[2]] = F[124,x,k[0],k[1],k[2]]*F[25,x,k[0]]
F[132,x,k[0],k[1],k[2]] = F[133,x,k[0],k[1],k[2]]
F[133,x,k[0],k[1],k[2]] = F[25,x,k[1]]*F[38,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1]] = F[10,x]*F[135,x,k[0],k[1]]
F[135,x,k[0],k[1]] = 1/(-1+k[0])*(F[32,x,k[0],k[1]]*k[0]-F[32,x,1,k[1]])
F[136,x,k[0],k[1]] = F[137,x,k[0],k[1]]
F[137,x,k[0],k[1]] = F[138,x,k[0],k[1]]*F[25,x,k[0]]
F[139,x,k[0],k[1]] = F[138,x,k[0],k[1]]+F[148,x,k[0],k[1]]
F[140,x,k[0],k[1]] = F[139,x,k[0],k[1]]*F[25,x,k[1]]
F[140,x,k[0],k[1]] = F[141,x,k[0],k[1]]
F[142,x,k[0],k[1]] = F[141,x,k[0],k[1]]*F[25,x,k[0]]
F[143,x,k[0],k[1]] = F[142,x,k[0],k[1]]+F[144,x,k[0],k[1]]+F[146,x,k[0],k[1]]+F[7,x]
F[143,x,k[0],k[1]] = k[1]*(F[6,x,k[0]]-F[6,x,k[1]])/(-k[1]+k[0])
F[144,x,k[0],k[1]] = F[10,x]*F[145,x,k[0],k[1]]
F[145,x,k[0],k[1]] = 1/(-1+k[0])*(F[143,x,k[0],k[1]]*k[0]-F[143,x,1,k[1]])
F[146,x,k[0],k[1]] = F[147,x,k[0],k[1]]*F[25,x,k[1]]
F[147,x,k[0],k[1]] = (-F[13,x,1,k[1]]*k[1]+F[13,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[148,x,k[0],k[1]] = F[149,x,k[0],k[1]]
F[149,x,k[0],k[1]] = k[1]*F[92,x,k[0],k[1]]
F[150,x,k[0],k[1]] = F[151,x,k[0],k[1]]
F[151,x,k[0],k[1]] = F[125,x,1,k[0],k[1]]
F[152,x,k[0],k[1]] = F[20,x,k[0],k[1]]*F[25,x,k[0]]
F[153,x,k[0],k[1]] = F[154,x,k[0],k[1]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]*F[25,x,k[0]]
F[156,x,k[0],k[1]] = F[155,x,k[0],k[1]]+F[169,x,k[0],k[1]]
F[157,x,k[0],k[1]] = F[156,x,k[0],k[1]]*F[25,x,k[0]]
F[157,x,k[0],k[1]] = F[158,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[158,x,k[0],k[1]]+F[166,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1]]+F[164,x,k[0],k[1]]
F[160,x,k[0],k[1]] = F[161,x,k[0]]+F[162,x,k[0],k[1]]
F[44,x,k[0],k[1]] = F[161,x,k[0]]+F[41,x,k[0],k[1]]
F[162,x,k[0],k[1]] = F[163,x,k[0],k[1]]
F[163,x,k[0],k[1]] = F[25,x,k[1]]*F[36,x,k[0],k[1]]
F[164,x,k[0],k[1]] = k[0]*F[165,x,k[0],k[1]]
F[165,x,k[0],k[1]] = F[94,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[15,x,k[1]]+F[167,x,k[0],k[1]]
F[167,x,k[0],k[1]] = k[0]*F[168,x,k[1]]
F[168,x,k[0]] = F[27,x,k[0]]
F[169,x,k[0],k[1]] = k[0]*F[170,x,k[0],k[1]]
F[170,x,k[0],k[1]] = F[171,x,k[0],k[1]]
F[171,x,k[0],k[1]] = F[10,x]*F[172,x,k[0],k[1]]
F[172,x,k[0],k[1]] = F[173,x,k[0],k[1],1]
F[173,x,k[0],k[1],k[2]] = F[74,x,k[0],k[1],k[1]*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_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y_{0}\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{10}\! \left(x \right) = x
F_{11}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , 1, y_{0}\right)
F_{13}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{1}\right)+F_{153}\! \left(x , y_{0}, y_{1}\right)
F_{15}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{16}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{17}\! \left(x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}, 1\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{0}, y_{1}\right)+F_{21}\! \left(x , y_{1}\right)+F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right)+F_{26}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{23}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)
F_{24}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = y_{0} x
F_{26}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{18}\! \left(x , y_{0}\right)
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{29}\! \left(x , y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{30}\! \left(x , y_{0}, y_{1}\right)
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}, y_{1}\right)+F_{31}\! \left(x , y_{1}\right)
F_{31}\! \left(x , y_{0}\right) = F_{32}\! \left(x , 1, y_{0}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{134}\! \left(x , y_{0}, y_{1}\right)+F_{136}\! \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_{21}\! \left(x , y_{1}\right)+F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}, 1\right)
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}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{39}\! \left(x , y_{0}, y_{2}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right) F_{39}\! \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_{42}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{41}\! \left(x , y_{0}, 1\right)-F_{41}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{123}\! \left(x , y_{0}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{44}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{44}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\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_{25}\! \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}, 1\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{49}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{50}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{51}\! \left(x , y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{51}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{53}\! \left(x , y_{1}\right)+F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , y_{0}\right)+F_{57}\! \left(x , y_{0}\right)
F_{54}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right)+F_{55}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , y_{0}\right)
F_{56}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{31}\! \left(x , y_{0}\right)
F_{57}\! \left(x , y_{0}\right) = F_{58}\! \left(x , y_{0}\right)+F_{69}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)
F_{58}\! \left(x , y_{0}\right) = F_{59}\! \left(x , y_{0}\right)
F_{59}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{60}\! \left(x , y_{0}\right)
F_{60}\! \left(x , y_{0}\right) = F_{61}\! \left(x , 1, y_{0}\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) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)+F_{7}\! \left(x \right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{65}\! \left(x , y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{66}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{61}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{67}\! \left(x , y_{0}, y_{1}\right) = F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{52}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{53}\! \left(x , y_{0}\right)
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{121}\! \left(x , y_{0}\right) F_{72}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{73}\! \left(x , y_{0}, y_{1}\right) = F_{74}\! \left(x , y_{0}, 1, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{75}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{114}\! \left(x , y_{1}, y_{2}\right)+F_{75}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{77}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}\right) F_{77}\! \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 , y_{0}, y_{1}, y_{2}\right) = F_{20}\! \left(x , y_{1}, y_{2}\right)+F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{113}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{33}\! \left(x , y_{0}, y_{2}\right)+F_{81}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{81}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x \right) F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{83}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{83}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{2}\right)+F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{y_{1} \left(F_{86}\! \left(x , y_{0}, 1, y_{2}\right)-F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right)\right)}{-1+y_{1}}
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{79}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{88}\! \left(x , y_{1}, y_{2}\right)
F_{88}\! \left(x , y_{0}, y_{1}\right) = F_{89}\! \left(x , 1, y_{0}, y_{1}\right)
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{90}\! \left(x , y_{0}, y_{2}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, y_{1}\right)+F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \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_{94}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{96}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\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) = -\frac{-F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{99}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{100}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{92}\! \left(x , y_{0}, y_{2}\right)
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_{25}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{106}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right)+F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, y_{1}\right)
F_{110}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{111}\! \left(x , y_{0}, y_{1}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{112}\! \left(x , y_{0}, y_{1}\right)+F_{88}\! \left(x , y_{0}, y_{1}\right)
F_{112}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{108}\! \left(x , 1, y_{1}\right)-F_{108}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{113}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{1}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{114}\! \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_{115}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , 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}, 1\right)
F_{118}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{120}\! \left(x , y_{0}, y_{2}\right)
F_{120}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)+F_{54}\! \left(x , y_{1}\right)
F_{121}\! \left(x , y_{0}\right) = y_{0} x
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{123}\! \left(x , y_{0}\right) = F_{44}\! \left(x , y_{0}, 1\right)
F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{7}\! \left(x \right)
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x \right) F_{127}\! \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_{1}, y_{0}, y_{2}\right)
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{129}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{125}\! \left(x , y_{1}, y_{0}, 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_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{25}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{1}\right) F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{135}\! \left(x , y_{0}, y_{1}\right)
F_{135}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{32}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{32}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{136}\! \left(x , y_{0}, y_{1}\right) = F_{137}\! \left(x , y_{0}, y_{1}\right)
F_{137}\! \left(x , y_{0}, y_{1}\right) = F_{138}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{139}\! \left(x , y_{0}, y_{1}\right) = F_{138}\! \left(x , y_{0}, y_{1}\right)+F_{148}\! \left(x , y_{0}, y_{1}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = F_{139}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{1}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = F_{141}\! \left(x , y_{0}, y_{1}\right)
F_{142}\! \left(x , y_{0}, y_{1}\right) = F_{141}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = F_{142}\! \left(x , y_{0}, y_{1}\right)+F_{144}\! \left(x , y_{0}, y_{1}\right)+F_{146}\! \left(x , y_{0}, y_{1}\right)+F_{7}\! \left(x \right)
F_{143}\! \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_{144}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{145}\! \left(x , y_{0}, y_{1}\right)
F_{145}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{143}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{143}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{146}\! \left(x , y_{0}, y_{1}\right) = F_{147}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{1}\right)
F_{147}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} F_{13}\! \left(x , 1, y_{1}\right)-y_{0} F_{13}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)}{-y_{1}+y_{0}}
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) = y_{1} F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{151}\! \left(x , y_{0}, y_{1}\right)
F_{151}\! \left(x , y_{0}, y_{1}\right) = F_{125}\! \left(x , 1, y_{0}, y_{1}\right)
F_{152}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{153}\! \left(x , y_{0}, y_{1}\right) = F_{154}\! \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_{25}\! \left(x , y_{0}\right)
F_{156}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right)+F_{169}\! \left(x , y_{0}, y_{1}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = F_{156}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = F_{158}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{158}\! \left(x , y_{0}, y_{1}\right)+F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right)+F_{164}\! \left(x , y_{0}, y_{1}\right)
F_{160}\! \left(x , y_{0}, y_{1}\right) = F_{161}\! \left(x , y_{0}\right)+F_{162}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{161}\! \left(x , y_{0}\right)+F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{162}\! \left(x , y_{0}, y_{1}\right) = F_{163}\! \left(x , y_{0}, y_{1}\right)
F_{163}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{165}\! \left(x , y_{0}, y_{1}\right)
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{94}\! \left(x , y_{0}, y_{1}\right)
F_{166}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{1}\right)+F_{167}\! \left(x , y_{0}, y_{1}\right)
F_{167}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{168}\! \left(x , y_{1}\right)
F_{168}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right)
F_{169}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{170}\! \left(x , y_{0}, y_{1}\right)
F_{170}\! \left(x , y_{0}, y_{1}\right) = F_{171}\! \left(x , y_{0}, y_{1}\right)
F_{171}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{172}\! \left(x , y_{0}, y_{1}\right)
F_{172}\! \left(x , y_{0}, y_{1}\right) = F_{173}\! \left(x , y_{0}, y_{1}, 1\right)
F_{173}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{74}\! \left(x , y_{0}, y_{1}, y_{1} 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_10(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_11(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_10(x)*F_9(x, k_0))
Eq(F_9(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_10(x), x)
Eq(F_11(x, k_0), F_12(x, k_0)*F_25(x, k_0))
Eq(F_12(x, k_0), F_13(x, 1, k_0))
Eq(F_13(x, k_0, k_1), F_14(x, k_0*k_1, k_1))
Eq(F_14(x, k_0, k_1), F_15(x, k_1) + F_153(x, k_0, k_1))
Eq(F_15(x, k_0), F_0(x) + F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0)*F_25(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0, 1))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_152(x, k_0, k_1) + F_21(x, k_1) + F_28(x, k_0, k_1))
Eq(F_21(x, k_0), F_22(x, k_0) + F_26(x, k_0))
Eq(F_22(x, k_0), F_1(x) + F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_22(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), k_0*x)
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_10(x)*F_18(x, k_0))
Eq(F_28(x, k_0, k_1), F_10(x)*F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_30(x, k_0, k_1))
Eq(F_30(x, k_0, k_1), F_150(x, k_0, k_1) + F_31(x, k_1))
Eq(F_31(x, k_0), F_32(x, 1, k_0))
Eq(F_32(x, k_0, k_1), F_134(x, k_0, k_1) + F_136(x, k_0, k_1) + F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_21(x, k_1) + F_34(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_25(x, k_0)*F_36(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1, 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, k_2), F_124(x, k_0, k_1, k_2) + F_39(x, k_0, k_2))
Eq(F_40(x, k_0, k_1), F_25(x, k_1)*F_39(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), -F_41(x, k_0, 1) + (-k_1*F_41(x, k_0, k_1) + F_41(x, k_0, 1))/(1 - k_1))
Eq(F_43(x, k_0, k_1), F_123(x, k_0) + F_42(x, k_0, k_1))
Eq(F_43(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_44(x, k_0, k_1), F_21(x, k_1) + F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_25(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, 1))
Eq(F_48(x, k_0, k_1, k_2), F_49(x, k_0, k_1, k_1*k_2))
Eq(F_49(x, k_0, k_1, k_2), F_50(x, k_1, k_0, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2) + F_51(x, k_1, k_2))
Eq(F_52(x, k_0, k_1), F_51(x, k_0, k_1) + F_61(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), F_53(x, k_1) + F_70(x, k_0, k_1))
Eq(F_53(x, k_0), F_54(x, k_0) + F_57(x, k_0))
Eq(F_54(x, k_0), F_21(x, k_0) + F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_10(x)*F_31(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0) + F_69(x, k_0) + F_7(x))
Eq(F_58(x, k_0), F_59(x, k_0))
Eq(F_59(x, k_0), F_10(x)*F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, 1, k_0))
Eq(F_61(x, k_0, k_1), F_62(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), F_63(x, k_0, k_1) + F_67(x, k_0, k_1) + F_7(x))
Eq(F_63(x, k_0, k_1), F_64(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_10(x)*F_65(x, k_0, k_1))
Eq(F_65(x, k_0, k_1), F_66(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), (k_0*F_61(x, k_0, k_1) - F_61(x, 1, k_1))/(k_0 - 1))
Eq(F_67(x, k_0, k_1), F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_10(x)*F_52(x, k_0, k_1))
Eq(F_69(x, k_0), F_10(x)*F_53(x, k_0))
Eq(F_70(x, k_0, k_1), F_71(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_121(x, k_0)*F_72(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_73(x, k_0, k_1))
Eq(F_73(x, k_0, k_1), F_74(x, k_0, 1, k_1))
Eq(F_74(x, k_0, k_1, k_2), F_75(x, k_1, k_0, k_2))
Eq(F_76(x, k_0, k_1, k_2), F_114(x, k_1, k_2) + F_75(x, k_0, k_1, k_2))
Eq(F_76(x, k_0, k_1, k_2), F_77(x, k_1, k_0, k_2))
Eq(F_78(x, k_0, k_1, k_2), F_25(x, k_0)*F_77(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))
Eq(F_80(x, k_0, k_1, k_2), F_20(x, k_1, k_2) + F_79(x, k_0, k_1, k_2))
Eq(F_80(x, k_0, k_1, k_2), F_113(x, k_0, k_1, k_2) + F_33(x, k_0, k_2) + F_81(x, k_0, k_1, k_2))
Eq(F_81(x, k_0, k_1, k_2), F_10(x)*F_82(x, k_0, k_1, k_2))
Eq(F_82(x, k_0, k_1, k_2), F_83(x, k_1, k_0, k_2))
Eq(F_83(x, k_0, k_1, k_2), F_30(x, k_0, k_2) + F_84(x, k_0, k_1, k_2))
Eq(F_84(x, k_0, k_1, k_2), F_85(x, k_0, k_1, k_2) + F_87(x, k_0, k_1, k_2))
Eq(F_85(x, k_0, k_1, k_2), -F_86(x, k_0, 1, k_2) + (k_1*F_86(x, k_0, k_1, k_2) - F_86(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_86(x, k_0, k_1, k_2), F_79(x, k_1, k_0, k_2))
Eq(F_87(x, k_0, k_1, k_2), F_88(x, k_1, k_2))
Eq(F_88(x, k_0, k_1), F_89(x, 1, k_0, k_1))
Eq(F_89(x, k_0, k_1, k_2), k_1*F_90(x, k_0, k_2))
Eq(F_90(x, k_0, k_1), F_91(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_104(x, k_0, k_1) + F_91(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_101(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_94(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_10(x)*F_36(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_10(x)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), 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), (k_1*F_99(x, k_0, k_1, k_2) - F_99(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_99(x, k_0, k_1, k_2), F_100(x, k_1, k_0, k_2))
Eq(F_100(x, k_0, k_1, k_2), k_1*F_92(x, k_0, 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_25(x, k_0))
Eq(F_103(x, k_0, k_1), F_92(x, k_0, k_1))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1))
Eq(F_105(x, k_0, k_1), F_10(x)*F_106(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_106(x, k_0, k_1)*F_25(x, k_0))
Eq(F_107(x, k_0, k_1), F_108(x, k_0, k_1))
Eq(F_108(x, k_0, k_1), F_109(x, k_0, k_1) + F_34(x, k_0, k_1))
Eq(F_109(x, k_0, k_1), F_110(x, k_0, k_1))
Eq(F_110(x, k_0, k_1), F_10(x)*F_111(x, k_0, k_1))
Eq(F_111(x, k_0, k_1), F_112(x, k_0, k_1) + F_88(x, k_0, k_1))
Eq(F_112(x, k_0, k_1), -F_108(x, 1, k_1) + (k_0*F_108(x, k_0, k_1) - F_108(x, 1, k_1))/(k_0 - 1))
Eq(F_113(x, k_0, k_1, k_2), F_25(x, k_1)*F_49(x, k_0, k_1, k_2))
Eq(F_106(x, k_0, k_1), F_114(x, k_0, k_1) + F_115(x, k_0, k_1))
Eq(F_116(x, k_0, k_1), F_115(x, k_0, k_1)*F_25(x, 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, 1))
Eq(F_118(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_1*k_2))
Eq(F_80(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2) + F_120(x, k_0, k_2))
Eq(F_120(x, k_0, k_1), F_108(x, k_0, k_1) + F_54(x, k_1))
Eq(F_121(x, k_0), k_0*x)
Eq(F_122(x, k_0, k_1, k_2), F_119(x, k_1, k_0, k_2))
Eq(F_123(x, k_0), F_44(x, k_0, 1))
Eq(F_124(x, k_0, k_1, k_2), F_125(x, k_0, k_1, k_2))
Eq(F_125(x, k_0, k_1, k_2), F_126(x, k_0, k_1, k_2) + F_130(x, k_0, k_1, k_2) + F_132(x, k_0, k_1, k_2) + F_7(x))
Eq(F_126(x, k_0, k_1, k_2), F_10(x)*F_127(x, k_0, k_1, k_2))
Eq(F_127(x, k_0, k_1, k_2), F_128(x, k_1, k_0, k_2))
Eq(F_128(x, k_0, k_1, k_2), (k_1*F_129(x, k_0, k_1, k_2) - F_129(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_129(x, k_0, k_1, k_2), F_125(x, k_1, k_0, k_2))
Eq(F_130(x, k_0, k_1, k_2), F_131(x, k_0, k_1, k_2))
Eq(F_131(x, k_0, k_1, k_2), F_124(x, k_0, k_1, k_2)*F_25(x, k_0))
Eq(F_132(x, k_0, k_1, k_2), F_133(x, k_0, k_1, k_2))
Eq(F_133(x, k_0, k_1, k_2), F_25(x, k_1)*F_38(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1), F_10(x)*F_135(x, k_0, k_1))
Eq(F_135(x, k_0, k_1), (k_0*F_32(x, k_0, k_1) - F_32(x, 1, k_1))/(k_0 - 1))
Eq(F_136(x, k_0, k_1), F_137(x, k_0, k_1))
Eq(F_137(x, k_0, k_1), F_138(x, k_0, k_1)*F_25(x, k_0))
Eq(F_139(x, k_0, k_1), F_138(x, k_0, k_1) + F_148(x, k_0, k_1))
Eq(F_140(x, k_0, k_1), F_139(x, k_0, k_1)*F_25(x, k_1))
Eq(F_140(x, k_0, k_1), F_141(x, k_0, k_1))
Eq(F_142(x, k_0, k_1), F_141(x, k_0, k_1)*F_25(x, k_0))
Eq(F_143(x, k_0, k_1), F_142(x, k_0, k_1) + F_144(x, k_0, k_1) + F_146(x, k_0, k_1) + F_7(x))
Eq(F_143(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_144(x, k_0, k_1), F_10(x)*F_145(x, k_0, k_1))
Eq(F_145(x, k_0, k_1), (k_0*F_143(x, k_0, k_1) - F_143(x, 1, k_1))/(k_0 - 1))
Eq(F_146(x, k_0, k_1), F_147(x, k_0, k_1)*F_25(x, k_1))
Eq(F_147(x, k_0, k_1), (-k_0*F_13(x, k_0/k_1, k_1) + k_1*F_13(x, 1, k_1))/(-k_0 + 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), k_1*F_92(x, k_0, k_1))
Eq(F_150(x, k_0, k_1), F_151(x, k_0, k_1))
Eq(F_151(x, k_0, k_1), F_125(x, 1, k_0, k_1))
Eq(F_152(x, k_0, k_1), F_20(x, k_0, k_1)*F_25(x, k_0))
Eq(F_153(x, k_0, k_1), F_154(x, k_0, k_1))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1)*F_25(x, k_0))
Eq(F_156(x, k_0, k_1), F_155(x, k_0, k_1) + F_169(x, k_0, k_1))
Eq(F_157(x, k_0, k_1), F_156(x, k_0, k_1)*F_25(x, k_0))
Eq(F_157(x, k_0, k_1), F_158(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_158(x, k_0, k_1) + F_166(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1) + F_164(x, k_0, k_1))
Eq(F_160(x, k_0, k_1), F_161(x, k_0) + F_162(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), F_161(x, k_0) + F_41(x, k_0, k_1))
Eq(F_162(x, k_0, k_1), F_163(x, k_0, k_1))
Eq(F_163(x, k_0, k_1), F_25(x, k_1)*F_36(x, k_0, k_1))
Eq(F_164(x, k_0, k_1), k_0*F_165(x, k_0, k_1))
Eq(F_165(x, k_0, k_1), F_94(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_15(x, k_1) + F_167(x, k_0, k_1))
Eq(F_167(x, k_0, k_1), k_0*F_168(x, k_1))
Eq(F_168(x, k_0), F_27(x, k_0))
Eq(F_169(x, k_0, k_1), k_0*F_170(x, k_0, k_1))
Eq(F_170(x, k_0, k_1), F_171(x, k_0, k_1))
Eq(F_171(x, k_0, k_1), F_10(x)*F_172(x, k_0, k_1))
Eq(F_172(x, k_0, k_1), F_173(x, k_0, k_1, 1))
Eq(F_173(x, k_0, k_1, k_2), F_74(x, k_0, k_1, k_1*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, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]], "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, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "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], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 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, 2, 0], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 0], "pos": [[3, 0], [3, 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], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [3, 0], [3, 0]]}, 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[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [3, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [3, 0], [3, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [2, 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], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 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"Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "SkewComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25491/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[10,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[11,x,k[0]]+F[7,x]+F[8,x,k[0]]
F[7,x] = 0
F[8,x,k[0]] = F[10,x]*F[9,x,k[0]]
F[9,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[10,x] = x
F[11,x,k[0]] = F[12,x,k[0]]*F[25,x,k[0]]
F[12,x,k[0]] = F[13,x,1,k[0]]
F[13,x,k[0],k[1]] = F[14,x,k[0]*k[1],k[1]]
F[14,x,k[0],k[1]] = F[15,x,k[1]]+F[153,x,k[0],k[1]]
F[15,x,k[0]] = F[0,x]+F[16,x,k[0]]
F[16,x,k[0]] = F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]*F[25,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0],1]
F[19,x,k[0],k[1]] = F[20,x,k[0],k[0]*k[1]]
F[20,x,k[0],k[1]] = F[152,x,k[0],k[1]]+F[21,x,k[1]]+F[28,x,k[0],k[1]]
F[21,x,k[0]] = F[22,x,k[0]]+F[26,x,k[0]]
F[22,x,k[0]] = F[1,x]+F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[22,x,k[0]]*F[25,x,k[0]]
F[25,x,k[0]] = k[0]*x
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[10,x]*F[18,x,k[0]]
F[28,x,k[0],k[1]] = F[10,x]*F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[30,x,k[0],k[1]]
F[30,x,k[0],k[1]] = F[150,x,k[0],k[1]]+F[31,x,k[1]]
F[31,x,k[0]] = F[32,x,1,k[0]]
F[32,x,k[0],k[1]] = F[134,x,k[0],k[1]]+F[136,x,k[0],k[1]]+F[33,x,k[0],k[1]]
F[33,x,k[0],k[1]] = F[21,x,k[1]]+F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[25,x,k[0]]*F[36,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1],1]
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],k[2]] = F[124,x,k[0],k[1],k[2]]+F[39,x,k[0],k[2]]
F[40,x,k[0],k[1]] = F[25,x,k[1]]*F[39,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[42,x,k[0],k[1]] = -k[1]*(F[41,x,k[0],1]-F[41,x,k[0],k[1]])/(-1+k[1])
F[43,x,k[0],k[1]] = F[123,x,k[0]]+F[42,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],k[1]]*k[1]-F[44,x,k[0],1])/(-1+k[1])
F[44,x,k[0],k[1]] = F[21,x,k[1]]+F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[25,x,k[0]]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[48,x,k[0],k[1],1]
F[48,x,k[0],k[1],k[2]] = F[49,x,k[0],k[1],k[1]*k[2]]
F[49,x,k[0],k[1],k[2]] = F[50,x,k[1],k[0],k[2]]
F[50,x,k[0],k[1],k[2]] = F[122,x,k[0],k[1],k[2]]+F[51,x,k[1],k[2]]
F[52,x,k[0],k[1]] = F[51,x,k[0],k[1]]+F[61,x,k[0],k[1]]
F[52,x,k[0],k[1]] = F[53,x,k[1]]+F[70,x,k[0],k[1]]
F[53,x,k[0]] = F[54,x,k[0]]+F[57,x,k[0]]
F[54,x,k[0]] = F[21,x,k[0]]+F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[10,x]*F[31,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]+F[69,x,k[0]]+F[7,x]
F[58,x,k[0]] = F[59,x,k[0]]
F[59,x,k[0]] = F[10,x]*F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,1,k[0]]
F[61,x,k[0],k[1]] = F[62,x,k[0],k[1]]
F[62,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[67,x,k[0],k[1]]+F[7,x]
F[63,x,k[0],k[1]] = F[64,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[10,x]*F[65,x,k[0],k[1]]
F[65,x,k[0],k[1]] = F[66,x,k[0],k[1]]
F[66,x,k[0],k[1]] = 1/(-1+k[0])*(F[61,x,k[0],k[1]]*k[0]-F[61,x,1,k[1]])
F[67,x,k[0],k[1]] = F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[10,x]*F[52,x,k[0],k[1]]
F[69,x,k[0]] = F[10,x]*F[53,x,k[0]]
F[70,x,k[0],k[1]] = F[71,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[121,x,k[0]]*F[72,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[73,x,k[0],k[1]]
F[73,x,k[0],k[1]] = F[74,x,k[0],1,k[1]]
F[74,x,k[0],k[1],k[2]] = F[75,x,k[1],k[0],k[2]]
F[76,x,k[0],k[1],k[2]] = F[114,x,k[1],k[2]]+F[75,x,k[0],k[1],k[2]]
F[76,x,k[0],k[1],k[2]] = F[77,x,k[1],k[0],k[2]]
F[78,x,k[0],k[1],k[2]] = F[25,x,k[0]]*F[77,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,k[0],k[1],k[2]] = F[20,x,k[1],k[2]]+F[79,x,k[0],k[1],k[2]]
F[80,x,k[0],k[1],k[2]] = F[113,x,k[0],k[1],k[2]]+F[33,x,k[0],k[2]]+F[81,x,k[0],k[1],k[2]]
F[81,x,k[0],k[1],k[2]] = F[10,x]*F[82,x,k[0],k[1],k[2]]
F[82,x,k[0],k[1],k[2]] = F[83,x,k[1],k[0],k[2]]
F[83,x,k[0],k[1],k[2]] = F[30,x,k[0],k[2]]+F[84,x,k[0],k[1],k[2]]
F[84,x,k[0],k[1],k[2]] = F[85,x,k[0],k[1],k[2]]+F[87,x,k[0],k[1],k[2]]
F[85,x,k[0],k[1],k[2]] = -k[1]*(F[86,x,k[0],1,k[2]]-F[86,x,k[0],k[1],k[2]])/(-1+k[1])
F[86,x,k[0],k[1],k[2]] = F[79,x,k[1],k[0],k[2]]
F[87,x,k[0],k[1],k[2]] = F[88,x,k[1],k[2]]
F[88,x,k[0],k[1]] = F[89,x,1,k[0],k[1]]
F[89,x,k[0],k[1],k[2]] = k[1]*F[90,x,k[0],k[2]]
F[90,x,k[0],k[1]] = F[91,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[104,x,k[0],k[1]]+F[91,x,k[0],k[1]]
F[92,x,k[0],k[1]] = F[101,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[94,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[10,x]*F[36,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[10,x]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = 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]] = 1/(-1+k[1])*(F[99,x,k[0],k[1],k[2]]*k[1]-F[99,x,k[0],1,k[2]])
F[99,x,k[0],k[1],k[2]] = F[100,x,k[1],k[0],k[2]]
F[100,x,k[0],k[1],k[2]] = k[1]*F[92,x,k[0],k[2]]
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[25,x,k[0]]
F[103,x,k[0],k[1]] = F[92,x,k[0],k[1]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]
F[105,x,k[0],k[1]] = F[10,x]*F[106,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[106,x,k[0],k[1]]*F[25,x,k[0]]
F[107,x,k[0],k[1]] = F[108,x,k[0],k[1]]
F[108,x,k[0],k[1]] = F[109,x,k[0],k[1]]+F[34,x,k[0],k[1]]
F[109,x,k[0],k[1]] = F[110,x,k[0],k[1]]
F[110,x,k[0],k[1]] = F[10,x]*F[111,x,k[0],k[1]]
F[111,x,k[0],k[1]] = F[112,x,k[0],k[1]]+F[88,x,k[0],k[1]]
F[112,x,k[0],k[1]] = -k[0]*(F[108,x,1,k[1]]-F[108,x,k[0],k[1]])/(-1+k[0])
F[113,x,k[0],k[1],k[2]] = F[25,x,k[1]]*F[49,x,k[0],k[1],k[2]]
F[106,x,k[0],k[1]] = F[114,x,k[0],k[1]]+F[115,x,k[0],k[1]]
F[116,x,k[0],k[1]] = F[115,x,k[0],k[1]]*F[25,x,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],1]
F[118,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[1]*k[2]]
F[80,x,k[0],k[1],k[2]] = F[119,x,k[0],k[1],k[2]]+F[120,x,k[0],k[2]]
F[120,x,k[0],k[1]] = F[108,x,k[0],k[1]]+F[54,x,k[1]]
F[121,x,k[0]] = k[0]*x
F[122,x,k[0],k[1],k[2]] = F[119,x,k[1],k[0],k[2]]
F[123,x,k[0]] = F[44,x,k[0],1]
F[124,x,k[0],k[1],k[2]] = F[125,x,k[0],k[1],k[2]]
F[125,x,k[0],k[1],k[2]] = F[126,x,k[0],k[1],k[2]]+F[130,x,k[0],k[1],k[2]]+F[132,x,k[0],k[1],k[2]]+F[7,x]
F[126,x,k[0],k[1],k[2]] = F[10,x]*F[127,x,k[0],k[1],k[2]]
F[127,x,k[0],k[1],k[2]] = F[128,x,k[1],k[0],k[2]]
F[128,x,k[0],k[1],k[2]] = 1/(-1+k[1])*(F[129,x,k[0],k[1],k[2]]*k[1]-F[129,x,k[0],1,k[2]])
F[129,x,k[0],k[1],k[2]] = F[125,x,k[1],k[0],k[2]]
F[130,x,k[0],k[1],k[2]] = F[131,x,k[0],k[1],k[2]]
F[131,x,k[0],k[1],k[2]] = F[124,x,k[0],k[1],k[2]]*F[25,x,k[0]]
F[132,x,k[0],k[1],k[2]] = F[133,x,k[0],k[1],k[2]]
F[133,x,k[0],k[1],k[2]] = F[25,x,k[1]]*F[38,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1]] = F[10,x]*F[135,x,k[0],k[1]]
F[135,x,k[0],k[1]] = 1/(-1+k[0])*(F[32,x,k[0],k[1]]*k[0]-F[32,x,1,k[1]])
F[136,x,k[0],k[1]] = F[137,x,k[0],k[1]]
F[137,x,k[0],k[1]] = F[138,x,k[0],k[1]]*F[25,x,k[0]]
F[139,x,k[0],k[1]] = F[138,x,k[0],k[1]]+F[148,x,k[0],k[1]]
F[140,x,k[0],k[1]] = F[139,x,k[0],k[1]]*F[25,x,k[1]]
F[140,x,k[0],k[1]] = F[141,x,k[0],k[1]]
F[142,x,k[0],k[1]] = F[141,x,k[0],k[1]]*F[25,x,k[0]]
F[143,x,k[0],k[1]] = F[142,x,k[0],k[1]]+F[144,x,k[0],k[1]]+F[146,x,k[0],k[1]]+F[7,x]
F[143,x,k[0],k[1]] = k[1]*(F[6,x,k[0]]-F[6,x,k[1]])/(-k[1]+k[0])
F[144,x,k[0],k[1]] = F[10,x]*F[145,x,k[0],k[1]]
F[145,x,k[0],k[1]] = 1/(-1+k[0])*(F[143,x,k[0],k[1]]*k[0]-F[143,x,1,k[1]])
F[146,x,k[0],k[1]] = F[147,x,k[0],k[1]]*F[25,x,k[1]]
F[147,x,k[0],k[1]] = (-F[13,x,1,k[1]]*k[1]+F[13,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[148,x,k[0],k[1]] = F[149,x,k[0],k[1]]
F[149,x,k[0],k[1]] = k[1]*F[92,x,k[0],k[1]]
F[150,x,k[0],k[1]] = F[151,x,k[0],k[1]]
F[151,x,k[0],k[1]] = F[125,x,1,k[0],k[1]]
F[152,x,k[0],k[1]] = F[20,x,k[0],k[1]]*F[25,x,k[0]]
F[153,x,k[0],k[1]] = F[154,x,k[0],k[1]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]*F[25,x,k[0]]
F[156,x,k[0],k[1]] = F[155,x,k[0],k[1]]+F[169,x,k[0],k[1]]
F[157,x,k[0],k[1]] = F[156,x,k[0],k[1]]*F[25,x,k[0]]
F[157,x,k[0],k[1]] = F[158,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[158,x,k[0],k[1]]+F[166,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1]]+F[164,x,k[0],k[1]]
F[160,x,k[0],k[1]] = F[161,x,k[0]]+F[162,x,k[0],k[1]]
F[44,x,k[0],k[1]] = F[161,x,k[0]]+F[41,x,k[0],k[1]]
F[162,x,k[0],k[1]] = F[163,x,k[0],k[1]]
F[163,x,k[0],k[1]] = F[25,x,k[1]]*F[36,x,k[0],k[1]]
F[164,x,k[0],k[1]] = k[0]*F[165,x,k[0],k[1]]
F[165,x,k[0],k[1]] = F[94,x,k[0],k[1]]
F[166,x,k[0],k[1]] = F[15,x,k[1]]+F[167,x,k[0],k[1]]
F[167,x,k[0],k[1]] = k[0]*F[168,x,k[1]]
F[168,x,k[0]] = F[27,x,k[0]]
F[169,x,k[0],k[1]] = k[0]*F[170,x,k[0],k[1]]
F[170,x,k[0],k[1]] = F[171,x,k[0],k[1]]
F[171,x,k[0],k[1]] = F[10,x]*F[172,x,k[0],k[1]]
F[172,x,k[0],k[1]] = F[173,x,k[0],k[1],1]
F[173,x,k[0],k[1],k[2]] = F[74,x,k[0],k[1],k[1]*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_{10}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)+F_{8}\! \left(x , y_{0}\right)
F_{7}\! \left(x \right) = 0
F_{8}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{10}\! \left(x \right) = x
F_{11}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , 1, y_{0}\right)
F_{13}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{1}\right)+F_{153}\! \left(x , y_{0}, y_{1}\right)
F_{15}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{16}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{17}\! \left(x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}, 1\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{152}\! \left(x , y_{0}, y_{1}\right)+F_{21}\! \left(x , y_{1}\right)+F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right)+F_{26}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{23}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)
F_{24}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right) F_{25}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = y_{0} x
F_{26}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{18}\! \left(x , y_{0}\right)
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{29}\! \left(x , y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{30}\! \left(x , y_{0}, y_{1}\right)
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}, y_{1}\right)+F_{31}\! \left(x , y_{1}\right)
F_{31}\! \left(x , y_{0}\right) = F_{32}\! \left(x , 1, y_{0}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = F_{134}\! \left(x , y_{0}, y_{1}\right)+F_{136}\! \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_{21}\! \left(x , y_{1}\right)+F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}, 1\right)
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}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{39}\! \left(x , y_{0}, y_{2}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right) F_{39}\! \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_{42}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{41}\! \left(x , y_{0}, 1\right)-F_{41}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{123}\! \left(x , y_{0}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{44}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{44}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\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_{25}\! \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}, 1\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{49}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{50}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{51}\! \left(x , y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{51}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{53}\! \left(x , y_{1}\right)+F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , y_{0}\right)+F_{57}\! \left(x , y_{0}\right)
F_{54}\! \left(x , y_{0}\right) = F_{21}\! \left(x , y_{0}\right)+F_{55}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , y_{0}\right)
F_{56}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{31}\! \left(x , y_{0}\right)
F_{57}\! \left(x , y_{0}\right) = F_{58}\! \left(x , y_{0}\right)+F_{69}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)
F_{58}\! \left(x , y_{0}\right) = F_{59}\! \left(x , y_{0}\right)
F_{59}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{60}\! \left(x , y_{0}\right)
F_{60}\! \left(x , y_{0}\right) = F_{61}\! \left(x , 1, y_{0}\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) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)+F_{7}\! \left(x \right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{65}\! \left(x , y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{66}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{61}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{67}\! \left(x , y_{0}, y_{1}\right) = F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{52}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right) F_{53}\! \left(x , y_{0}\right)
F_{70}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{121}\! \left(x , y_{0}\right) F_{72}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{73}\! \left(x , y_{0}, y_{1}\right) = F_{74}\! \left(x , y_{0}, 1, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{75}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{114}\! \left(x , y_{1}, y_{2}\right)+F_{75}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{76}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{77}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{78}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}\right) F_{77}\! \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 , y_{0}, y_{1}, y_{2}\right) = F_{20}\! \left(x , y_{1}, y_{2}\right)+F_{79}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{113}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{33}\! \left(x , y_{0}, y_{2}\right)+F_{81}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{81}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x \right) F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{82}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{83}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{83}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{30}\! \left(x , y_{0}, y_{2}\right)+F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{84}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{85}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{y_{1} \left(F_{86}\! \left(x , y_{0}, 1, y_{2}\right)-F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right)\right)}{-1+y_{1}}
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{79}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{88}\! \left(x , y_{1}, y_{2}\right)
F_{88}\! \left(x , y_{0}, y_{1}\right) = F_{89}\! \left(x , 1, y_{0}, y_{1}\right)
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{90}\! \left(x , y_{0}, y_{2}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, y_{1}\right)+F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \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_{94}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{96}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\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) = -\frac{-F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{99}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{100}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{100}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{92}\! \left(x , y_{0}, y_{2}\right)
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_{25}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{106}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right)+F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, y_{1}\right)
F_{110}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{111}\! \left(x , y_{0}, y_{1}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{112}\! \left(x , y_{0}, y_{1}\right)+F_{88}\! \left(x , y_{0}, y_{1}\right)
F_{112}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{108}\! \left(x , 1, y_{1}\right)-F_{108}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{113}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{1}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{114}\! \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_{115}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , 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}, 1\right)
F_{118}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{80}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{120}\! \left(x , y_{0}, y_{2}\right)
F_{120}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)+F_{54}\! \left(x , y_{1}\right)
F_{121}\! \left(x , y_{0}\right) = y_{0} x
F_{122}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{119}\! \left(x , y_{1}, y_{0}, y_{2}\right)
F_{123}\! \left(x , y_{0}\right) = F_{44}\! \left(x , y_{0}, 1\right)
F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{130}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{7}\! \left(x \right)
F_{126}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x \right) F_{127}\! \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_{1}, y_{0}, y_{2}\right)
F_{128}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{1}+F_{129}\! \left(x , y_{0}, 1, y_{2}\right)}{-1+y_{1}}
F_{129}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{125}\! \left(x , y_{1}, y_{0}, 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_{131}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{124}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{25}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{1}\right) F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{135}\! \left(x , y_{0}, y_{1}\right)
F_{135}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{32}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{32}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{136}\! \left(x , y_{0}, y_{1}\right) = F_{137}\! \left(x , y_{0}, y_{1}\right)
F_{137}\! \left(x , y_{0}, y_{1}\right) = F_{138}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{139}\! \left(x , y_{0}, y_{1}\right) = F_{138}\! \left(x , y_{0}, y_{1}\right)+F_{148}\! \left(x , y_{0}, y_{1}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = F_{139}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{1}\right)
F_{140}\! \left(x , y_{0}, y_{1}\right) = F_{141}\! \left(x , y_{0}, y_{1}\right)
F_{142}\! \left(x , y_{0}, y_{1}\right) = F_{141}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{143}\! \left(x , y_{0}, y_{1}\right) = F_{142}\! \left(x , y_{0}, y_{1}\right)+F_{144}\! \left(x , y_{0}, y_{1}\right)+F_{146}\! \left(x , y_{0}, y_{1}\right)+F_{7}\! \left(x \right)
F_{143}\! \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_{144}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{145}\! \left(x , y_{0}, y_{1}\right)
F_{145}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{143}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{143}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{146}\! \left(x , y_{0}, y_{1}\right) = F_{147}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{1}\right)
F_{147}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} F_{13}\! \left(x , 1, y_{1}\right)-y_{0} F_{13}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)}{-y_{1}+y_{0}}
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) = y_{1} F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{150}\! \left(x , y_{0}, y_{1}\right) = F_{151}\! \left(x , y_{0}, y_{1}\right)
F_{151}\! \left(x , y_{0}, y_{1}\right) = F_{125}\! \left(x , 1, y_{0}, y_{1}\right)
F_{152}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{153}\! \left(x , y_{0}, y_{1}\right) = F_{154}\! \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_{25}\! \left(x , y_{0}\right)
F_{156}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right)+F_{169}\! \left(x , y_{0}, y_{1}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = F_{156}\! \left(x , y_{0}, y_{1}\right) F_{25}\! \left(x , y_{0}\right)
F_{157}\! \left(x , y_{0}, y_{1}\right) = F_{158}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{158}\! \left(x , y_{0}, y_{1}\right)+F_{166}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right)+F_{164}\! \left(x , y_{0}, y_{1}\right)
F_{160}\! \left(x , y_{0}, y_{1}\right) = F_{161}\! \left(x , y_{0}\right)+F_{162}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{161}\! \left(x , y_{0}\right)+F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{162}\! \left(x , y_{0}, y_{1}\right) = F_{163}\! \left(x , y_{0}, y_{1}\right)
F_{163}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right) F_{36}\! \left(x , y_{0}, y_{1}\right)
F_{164}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{165}\! \left(x , y_{0}, y_{1}\right)
F_{165}\! \left(x , y_{0}, y_{1}\right) = F_{94}\! \left(x , y_{0}, y_{1}\right)
F_{166}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{1}\right)+F_{167}\! \left(x , y_{0}, y_{1}\right)
F_{167}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{168}\! \left(x , y_{1}\right)
F_{168}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right)
F_{169}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{170}\! \left(x , y_{0}, y_{1}\right)
F_{170}\! \left(x , y_{0}, y_{1}\right) = F_{171}\! \left(x , y_{0}, y_{1}\right)
F_{171}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x \right) F_{172}\! \left(x , y_{0}, y_{1}\right)
F_{172}\! \left(x , y_{0}, y_{1}\right) = F_{173}\! \left(x , y_{0}, y_{1}, 1\right)
F_{173}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{74}\! \left(x , y_{0}, y_{1}, y_{1} 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_10(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_11(x, k_0) + F_7(x) + F_8(x, k_0))
Eq(F_7(x), 0)
Eq(F_8(x, k_0), F_10(x)*F_9(x, k_0))
Eq(F_9(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_10(x), x)
Eq(F_11(x, k_0), F_12(x, k_0)*F_25(x, k_0))
Eq(F_12(x, k_0), F_13(x, 1, k_0))
Eq(F_13(x, k_0, k_1), F_14(x, k_0*k_1, k_1))
Eq(F_14(x, k_0, k_1), F_15(x, k_1) + F_153(x, k_0, k_1))
Eq(F_15(x, k_0), F_0(x) + F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0)*F_25(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0, 1))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, k_0*k_1))
Eq(F_20(x, k_0, k_1), F_152(x, k_0, k_1) + F_21(x, k_1) + F_28(x, k_0, k_1))
Eq(F_21(x, k_0), F_22(x, k_0) + F_26(x, k_0))
Eq(F_22(x, k_0), F_1(x) + F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_22(x, k_0)*F_25(x, k_0))
Eq(F_25(x, k_0), k_0*x)
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_10(x)*F_18(x, k_0))
Eq(F_28(x, k_0, k_1), F_10(x)*F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_30(x, k_0, k_1))
Eq(F_30(x, k_0, k_1), F_150(x, k_0, k_1) + F_31(x, k_1))
Eq(F_31(x, k_0), F_32(x, 1, k_0))
Eq(F_32(x, k_0, k_1), F_134(x, k_0, k_1) + F_136(x, k_0, k_1) + F_33(x, k_0, k_1))
Eq(F_33(x, k_0, k_1), F_21(x, k_1) + F_34(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_25(x, k_0)*F_36(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1, 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, k_2), F_124(x, k_0, k_1, k_2) + F_39(x, k_0, k_2))
Eq(F_40(x, k_0, k_1), F_25(x, k_1)*F_39(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), -F_41(x, k_0, 1) + (-k_1*F_41(x, k_0, k_1) + F_41(x, k_0, 1))/(1 - k_1))
Eq(F_43(x, k_0, k_1), F_123(x, k_0) + F_42(x, k_0, k_1))
Eq(F_43(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_44(x, k_0, k_1), F_21(x, k_1) + F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_25(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, 1))
Eq(F_48(x, k_0, k_1, k_2), F_49(x, k_0, k_1, k_1*k_2))
Eq(F_49(x, k_0, k_1, k_2), F_50(x, k_1, k_0, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_122(x, k_0, k_1, k_2) + F_51(x, k_1, k_2))
Eq(F_52(x, k_0, k_1), F_51(x, k_0, k_1) + F_61(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), F_53(x, k_1) + F_70(x, k_0, k_1))
Eq(F_53(x, k_0), F_54(x, k_0) + F_57(x, k_0))
Eq(F_54(x, k_0), F_21(x, k_0) + F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_10(x)*F_31(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0) + F_69(x, k_0) + F_7(x))
Eq(F_58(x, k_0), F_59(x, k_0))
Eq(F_59(x, k_0), F_10(x)*F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, 1, k_0))
Eq(F_61(x, k_0, k_1), F_62(x, k_0, k_1))
Eq(F_62(x, k_0, k_1), F_63(x, k_0, k_1) + F_67(x, k_0, k_1) + F_7(x))
Eq(F_63(x, k_0, k_1), F_64(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_10(x)*F_65(x, k_0, k_1))
Eq(F_65(x, k_0, k_1), F_66(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), (k_0*F_61(x, k_0, k_1) - F_61(x, 1, k_1))/(k_0 - 1))
Eq(F_67(x, k_0, k_1), F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_10(x)*F_52(x, k_0, k_1))
Eq(F_69(x, k_0), F_10(x)*F_53(x, k_0))
Eq(F_70(x, k_0, k_1), F_71(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_121(x, k_0)*F_72(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_73(x, k_0, k_1))
Eq(F_73(x, k_0, k_1), F_74(x, k_0, 1, k_1))
Eq(F_74(x, k_0, k_1, k_2), F_75(x, k_1, k_0, k_2))
Eq(F_76(x, k_0, k_1, k_2), F_114(x, k_1, k_2) + F_75(x, k_0, k_1, k_2))
Eq(F_76(x, k_0, k_1, k_2), F_77(x, k_1, k_0, k_2))
Eq(F_78(x, k_0, k_1, k_2), F_25(x, k_0)*F_77(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))
Eq(F_80(x, k_0, k_1, k_2), F_20(x, k_1, k_2) + F_79(x, k_0, k_1, k_2))
Eq(F_80(x, k_0, k_1, k_2), F_113(x, k_0, k_1, k_2) + F_33(x, k_0, k_2) + F_81(x, k_0, k_1, k_2))
Eq(F_81(x, k_0, k_1, k_2), F_10(x)*F_82(x, k_0, k_1, k_2))
Eq(F_82(x, k_0, k_1, k_2), F_83(x, k_1, k_0, k_2))
Eq(F_83(x, k_0, k_1, k_2), F_30(x, k_0, k_2) + F_84(x, k_0, k_1, k_2))
Eq(F_84(x, k_0, k_1, k_2), F_85(x, k_0, k_1, k_2) + F_87(x, k_0, k_1, k_2))
Eq(F_85(x, k_0, k_1, k_2), -F_86(x, k_0, 1, k_2) + (k_1*F_86(x, k_0, k_1, k_2) - F_86(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_86(x, k_0, k_1, k_2), F_79(x, k_1, k_0, k_2))
Eq(F_87(x, k_0, k_1, k_2), F_88(x, k_1, k_2))
Eq(F_88(x, k_0, k_1), F_89(x, 1, k_0, k_1))
Eq(F_89(x, k_0, k_1, k_2), k_1*F_90(x, k_0, k_2))
Eq(F_90(x, k_0, k_1), F_91(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_104(x, k_0, k_1) + F_91(x, k_0, k_1))
Eq(F_92(x, k_0, k_1), F_101(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_94(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_10(x)*F_36(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_10(x)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), 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), (k_1*F_99(x, k_0, k_1, k_2) - F_99(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_99(x, k_0, k_1, k_2), F_100(x, k_1, k_0, k_2))
Eq(F_100(x, k_0, k_1, k_2), k_1*F_92(x, k_0, 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_25(x, k_0))
Eq(F_103(x, k_0, k_1), F_92(x, k_0, k_1))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1))
Eq(F_105(x, k_0, k_1), F_10(x)*F_106(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_106(x, k_0, k_1)*F_25(x, k_0))
Eq(F_107(x, k_0, k_1), F_108(x, k_0, k_1))
Eq(F_108(x, k_0, k_1), F_109(x, k_0, k_1) + F_34(x, k_0, k_1))
Eq(F_109(x, k_0, k_1), F_110(x, k_0, k_1))
Eq(F_110(x, k_0, k_1), F_10(x)*F_111(x, k_0, k_1))
Eq(F_111(x, k_0, k_1), F_112(x, k_0, k_1) + F_88(x, k_0, k_1))
Eq(F_112(x, k_0, k_1), -F_108(x, 1, k_1) + (k_0*F_108(x, k_0, k_1) - F_108(x, 1, k_1))/(k_0 - 1))
Eq(F_113(x, k_0, k_1, k_2), F_25(x, k_1)*F_49(x, k_0, k_1, k_2))
Eq(F_106(x, k_0, k_1), F_114(x, k_0, k_1) + F_115(x, k_0, k_1))
Eq(F_116(x, k_0, k_1), F_115(x, k_0, k_1)*F_25(x, 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, 1))
Eq(F_118(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_1*k_2))
Eq(F_80(x, k_0, k_1, k_2), F_119(x, k_0, k_1, k_2) + F_120(x, k_0, k_2))
Eq(F_120(x, k_0, k_1), F_108(x, k_0, k_1) + F_54(x, k_1))
Eq(F_121(x, k_0), k_0*x)
Eq(F_122(x, k_0, k_1, k_2), F_119(x, k_1, k_0, k_2))
Eq(F_123(x, k_0), F_44(x, k_0, 1))
Eq(F_124(x, k_0, k_1, k_2), F_125(x, k_0, k_1, k_2))
Eq(F_125(x, k_0, k_1, k_2), F_126(x, k_0, k_1, k_2) + F_130(x, k_0, k_1, k_2) + F_132(x, k_0, k_1, k_2) + F_7(x))
Eq(F_126(x, k_0, k_1, k_2), F_10(x)*F_127(x, k_0, k_1, k_2))
Eq(F_127(x, k_0, k_1, k_2), F_128(x, k_1, k_0, k_2))
Eq(F_128(x, k_0, k_1, k_2), (k_1*F_129(x, k_0, k_1, k_2) - F_129(x, k_0, 1, k_2))/(k_1 - 1))
Eq(F_129(x, k_0, k_1, k_2), F_125(x, k_1, k_0, k_2))
Eq(F_130(x, k_0, k_1, k_2), F_131(x, k_0, k_1, k_2))
Eq(F_131(x, k_0, k_1, k_2), F_124(x, k_0, k_1, k_2)*F_25(x, k_0))
Eq(F_132(x, k_0, k_1, k_2), F_133(x, k_0, k_1, k_2))
Eq(F_133(x, k_0, k_1, k_2), F_25(x, k_1)*F_38(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1), F_10(x)*F_135(x, k_0, k_1))
Eq(F_135(x, k_0, k_1), (k_0*F_32(x, k_0, k_1) - F_32(x, 1, k_1))/(k_0 - 1))
Eq(F_136(x, k_0, k_1), F_137(x, k_0, k_1))
Eq(F_137(x, k_0, k_1), F_138(x, k_0, k_1)*F_25(x, k_0))
Eq(F_139(x, k_0, k_1), F_138(x, k_0, k_1) + F_148(x, k_0, k_1))
Eq(F_140(x, k_0, k_1), F_139(x, k_0, k_1)*F_25(x, k_1))
Eq(F_140(x, k_0, k_1), F_141(x, k_0, k_1))
Eq(F_142(x, k_0, k_1), F_141(x, k_0, k_1)*F_25(x, k_0))
Eq(F_143(x, k_0, k_1), F_142(x, k_0, k_1) + F_144(x, k_0, k_1) + F_146(x, k_0, k_1) + F_7(x))
Eq(F_143(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_144(x, k_0, k_1), F_10(x)*F_145(x, k_0, k_1))
Eq(F_145(x, k_0, k_1), (k_0*F_143(x, k_0, k_1) - F_143(x, 1, k_1))/(k_0 - 1))
Eq(F_146(x, k_0, k_1), F_147(x, k_0, k_1)*F_25(x, k_1))
Eq(F_147(x, k_0, k_1), (-k_0*F_13(x, k_0/k_1, k_1) + k_1*F_13(x, 1, k_1))/(-k_0 + 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), k_1*F_92(x, k_0, k_1))
Eq(F_150(x, k_0, k_1), F_151(x, k_0, k_1))
Eq(F_151(x, k_0, k_1), F_125(x, 1, k_0, k_1))
Eq(F_152(x, k_0, k_1), F_20(x, k_0, k_1)*F_25(x, k_0))
Eq(F_153(x, k_0, k_1), F_154(x, k_0, k_1))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1)*F_25(x, k_0))
Eq(F_156(x, k_0, k_1), F_155(x, k_0, k_1) + F_169(x, k_0, k_1))
Eq(F_157(x, k_0, k_1), F_156(x, k_0, k_1)*F_25(x, k_0))
Eq(F_157(x, k_0, k_1), F_158(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_158(x, k_0, k_1) + F_166(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1) + F_164(x, k_0, k_1))
Eq(F_160(x, k_0, k_1), F_161(x, k_0) + F_162(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), F_161(x, k_0) + F_41(x, k_0, k_1))
Eq(F_162(x, k_0, k_1), F_163(x, k_0, k_1))
Eq(F_163(x, k_0, k_1), F_25(x, k_1)*F_36(x, k_0, k_1))
Eq(F_164(x, k_0, k_1), k_0*F_165(x, k_0, k_1))
Eq(F_165(x, k_0, k_1), F_94(x, k_0, k_1))
Eq(F_166(x, k_0, k_1), F_15(x, k_1) + F_167(x, k_0, k_1))
Eq(F_167(x, k_0, k_1), k_0*F_168(x, k_1))
Eq(F_168(x, k_0), F_27(x, k_0))
Eq(F_169(x, k_0, k_1), k_0*F_170(x, k_0, k_1))
Eq(F_170(x, k_0, k_1), F_171(x, k_0, k_1))
Eq(F_171(x, k_0, k_1), F_10(x)*F_172(x, k_0, k_1))
Eq(F_172(x, k_0, k_1), F_173(x, k_0, k_1, 1))
Eq(F_173(x, k_0, k_1, k_2), F_74(x, k_0, k_1, k_1*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, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]], "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, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 4, 2, 1]]}], "iterative": false}
Specification JSON:
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