01234_01243_01342_02134_02143_03124_12034_12043_13024
Counting sequence:
1, 1, 2, 6, 24, 111, 549, 2820, 14873, 80038, 437564, 2422471, 13550582, 76456831, 434594798, 2486166270, 14302229338, 82683374664, 480103724981, 2798686578646, 16372168308008, 96082855728881, 565520533039783, 3337375397556342, 19743357793851182, 117061135284206122, 695514731239618277, 4140341294290969840, 24691273909603546305, 147494483682524416208, 882440831802430316358, 5287253276935397676861, 31722725006288370454134, 190577383231641798279408, 1146305754677841694387109, 6902847849564389966162620, 41612877886690897340815603, 251115722207940760176284093, 1516853996001783368986750985, 9170988419618130048309350845, 55497233884698586588035460001, 336117491493555310721139066980, 2037316559790277057493706169228, 12358271997712914948797060350870, 75019486089461170061216489002812, 455715454077016777715243214932708, 2770153814806433178968208939749818, 16849708692458560040907677236128884, 102552904750373239607833143656337315, 624539549263516866515106385967856280, 3805557758978166974401291103171186626, 23201370818276959715787021172015696137, 141526258537915730930420571731805760713, 863734072827541940295284035703387333027, 5273935055933587809216999201302611920806, 32217636762162543426039761149518912720497, 196901777600058910496262640060447451140374, 1203915178103232527750649777448742206532269, 7364207663556588929556713075277391404500913, 45064437611605395913613907577573668490418430, 275875976757865616780532720315103795438443121, 1689508179832703303147889494510066473532101175, 10350657783402347226925012550071990989760371731, 63435421952933671848795851707619140425997902506, 388908265739656778277601568665704050413070610200, 2385115498179485654464045713697174154815655980321, 14632354070840491123574484642881795067885945016377, 89796078906190632841800441060442706340186187863719, 551232666987885237372469341490089731205662477294628, 3384878711264600540462066536648436832948357532949392, 20791135852363832318921269486887042856297747324320894, 127742897168521151040002439798634563474055176072858364, 785082671708777464467371892242721848889280375874045646, 4826261908636742686925282835868314188798001058994592821, 29677010683620166251346349191009115258825186338027280244, 182532508279554976029255833897033001689216263900678633408, 1122970214159717735172965385767112940787489216854891700206, 6910372421077352203990661141557593737103920100029915707141, 42534098141262573331622168899210209618465618432110774583135, 261862325204526840298144845482813340514807373958522510299966, 1612524705381730869475522436146756671825315063582636431569343, 9931959509673056675964475819931158394677677602343346344440087, 61186615925251706944496469322932333089040197710995013111887103, 377023711171245276527572909331142612264102238875085405795847180, 2323643577314876561932330670554599753965239061944830726296080911, 14323756712555632993423091558531366834476540013397640977520028757, 88313878946201128470462854105750548848401262805306563730161224086, 544607576717799308530475616842297823190387472699870850091185308389, 3359071507352551974900508799069904800937409666066462168618797937168, 20722105900927443708462607872475612414223140856519524841080282416929, 127857401815170823255082897917118877619708836219014608600826004285789, 789030043433583296228614291031347595219365302041649418651406019851334, 4870070743696259193343944016786470361578201052878714686139759955137808, 30064189643610902750016429714387266128144948622132239362699126147936859, 185624254893947076052123698933873863128052632758240798332880392327450367, 1146276705133844314048679370631245699551939919150694766635240397436059837, 7079658524234088949808906996948722887350646296429815107398965700362047038, 43732255555358124889335165688624338474283837281537566553588895924759898597, 270182259799089916509318076283580132513026159214472286455089419848978630298, 1669459436934019748638152728763686227901236420628044280160312088571299917655, 10317102462287447130142877003453572550079406894098299512450301648990044251735
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24183/
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[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[9,x,1]
F[10,x,k[0]] = F[14,x,k[0]]*F[9,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[49,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]
F[14,x,k[0]] = k[0]*x
F[15,x,k[0]] = F[16,x,k[0]]+F[27,x,k[0]]
F[16,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[14,x,k[0]]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x,k[0]]+F[21,x,k[0]]
F[20,x,k[0]] = F[1,x]+F[14,x,k[0]]
F[21,x,k[0]] = F[17,x,k[0]]+F[22,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]
F[23,x,k[0]] = F[14,x,k[0]]*F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]+F[26,x,k[0]]
F[25,x,k[0]] = F[14,x,k[0]]
F[26,x,k[0]] = F[22,x,k[0]]
F[27,x,k[0]] = F[12,x,k[0]]+F[28,x,k[0]]
F[28,x,k[0]] = F[29,x]+F[30,x,k[0]]+F[40,x,k[0]]
F[29,x] = 0
F[30,x,k[0]] = F[14,x,k[0]]*F[31,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]+F[35,x,k[0]]
F[32,x,k[0]] = F[14,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[14,x,k[0]]*F[17,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]+F[38,x,k[0]]
F[36,x,k[0]] = F[29,x]+F[30,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = F[12,x,k[0]]*F[14,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[14,x,k[0]]*F[28,x,k[0]]
F[40,x,k[0]] = F[14,x,k[0]]*F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]+F[43,x,k[0]]
F[42,x,k[0]] = F[12,x,k[0]]+F[36,x,k[0]]
F[43,x,k[0]] = F[28,x,k[0]]+F[44,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[14,x,k[0]]*F[46,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[48,x,k[0]]
F[47,x,k[0]] = F[36,x,k[0]]
F[48,x,k[0]] = F[44,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[4,x]*F[51,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]+F[53,x,k[0]]
F[52,x,k[0]] = F[12,x,k[0]]*F[5,x]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[14,x,k[0]]*F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]+F[59,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]*F[58,x,k[0]]
F[57,x,k[0]] = F[1,x]+F[12,x,k[0]]
F[58,x,k[0]] = 1/(-1+k[0])*(F[9,x,k[0]]*k[0]-F[9,x,1])
F[59,x,k[0]] = F[128,x,k[0]]*F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]+F[70,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[14,x,k[0]]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]+F[67,x,k[0]]
F[64,x,k[0]] = F[1,x]+F[65,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]
F[66,x,k[0]] = F[14,x,k[0]]*F[64,x,k[0]]
F[67,x,k[0]] = F[65,x,k[0]]+F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[14,x,k[0]]*F[67,x,k[0]]
F[70,x,k[0]] = F[29,x]+F[71,x,k[0]]+F[78,x,k[0]]
F[71,x,k[0]] = F[14,x,k[0]]*F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]+F[74,x,k[0]]
F[73,x,k[0]] = F[65,x,k[0]]+F[68,x,k[0]]
F[74,x,k[0]] = F[68,x,k[0]]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[14,x,k[0]]*F[77,x,k[0]]
F[77,x,k[0]] = F[68,x,k[0]]+F[75,x,k[0]]
F[78,x,k[0]] = F[14,x,k[0]]*F[79,x,k[0]]
F[79,x,k[0]] = F[101,x,k[0]]+F[80,x,k[0]]
F[80,x,k[0]] = F[61,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[29,x]+F[82,x,k[0]]+F[90,x,k[0]]
F[82,x,k[0]] = F[14,x,k[0]]*F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]+F[87,x,k[0]]
F[84,x,k[0]] = F[14,x,k[0]]+F[85,x,k[0]]
F[85,x,k[0]] = F[86,x,k[0]]
F[86,x,k[0]] = F[14,x,k[0]]*F[65,x,k[0]]
F[87,x,k[0]] = F[85,x,k[0]]+F[88,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = F[14,x,k[0]]*F[68,x,k[0]]
F[90,x,k[0]] = F[14,x,k[0]]*F[91,x,k[0]]
F[91,x,k[0]] = F[92,x,k[0]]+F[95,x,k[0]]
F[92,x,k[0]] = F[61,x,k[0]]+F[93,x,k[0]]
F[93,x,k[0]] = F[29,x]+F[82,x,k[0]]+F[94,x,k[0]]
F[94,x,k[0]] = F[14,x,k[0]]*F[61,x,k[0]]
F[95,x,k[0]] = F[81,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[14,x,k[0]]*F[98,x,k[0]]
F[98,x,k[0]] = F[100,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[93,x,k[0]]
F[100,x,k[0]] = F[96,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]+F[70,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]+F[109,x,k[0]]+F[119,x,k[0]]+F[29,x]
F[103,x,k[0]] = F[104,x,k[0]]*F[14,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]+F[106,x,k[0]]
F[105,x,k[0]] = F[85,x,k[0]]+F[88,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]+F[88,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]
F[108,x,k[0]] = F[14,x,k[0]]*F[75,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]*F[14,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]+F[114,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]+F[93,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]
F[113,x,k[0]] = F[14,x,k[0]]*F[81,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]+F[117,x,k[0]]
F[115,x,k[0]] = F[103,x,k[0]]+F[109,x,k[0]]+F[116,x,k[0]]+F[29,x]
F[116,x,k[0]] = F[14,x,k[0]]*F[70,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]
F[118,x,k[0]] = F[102,x,k[0]]*F[14,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]*F[14,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]+F[122,x,k[0]]
F[121,x,k[0]] = F[115,x,k[0]]+F[70,x,k[0]]
F[122,x,k[0]] = F[102,x,k[0]]+F[123,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]*F[14,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]+F[127,x,k[0]]
F[126,x,k[0]] = F[115,x,k[0]]
F[127,x,k[0]] = F[123,x,k[0]]
F[129,x,k[0]] = F[128,x,k[0]]*F[4,x]
F[129,x,k[0]] = F[130,x,k[0]]
F[130,x,k[0]] = F[131,x]+F[133,x,k[0]]
F[131,x] = F[132,x]
F[132,x] = F[4,x]*F[8,x]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]*F[4,x]
F[135,x,k[0]] = -k[0]*(F[136,x,1]-F[136,x,k[0]])/(-1+k[0])
F[136,x,k[0]] = F[137,x,k[0]]+F[138,x,k[0]]
F[137,x,k[0]] = F[11,x,k[0]]+F[133,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]
F[139,x,k[0]] = F[140,x,k[0]]*F[4,x]
F[140,x,k[0]] = F[141,x,k[0]]
F[141,x,k[0]] = F[64,x,k[0]]^2*F[14,x,k[0]]*F[142,x]
F[142,x] = 1/F[173,x]/F[174,x]*F[143,x]
F[143,x] = -F[153,x]+F[144,x]
F[144,x] = 1/F[4,x]*F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[4,x]
F[147,x] = 1/F[4,x]*F[148,x]
F[148,x] = F[149,x]
F[149,x] = -F[150,x]+F[8,x]
F[150,x] = F[151,x,1]
F[151,x,k[0]] = F[130,x,k[0]]+F[152,x,k[0]]
F[152,x,k[0]] = F[0,x]+F[11,x,k[0]]
F[153,x] = -F[154,x]+F[147,x]
F[154,x] = 1/F[4,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]*F[4,x]
F[157,x] = F[158,x]
F[158,x] = F[173,x]^2*F[159,x]*F[4,x]
F[159,x] = -F[171,x]+F[160,x]
F[161,x,k[0]] = F[160,x]+F[169,x,k[0]]
F[162,x,k[0]] = F[161,x,k[0]]*F[4,x]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[138,x,k[0]]+F[164,x]
F[164,x] = -F[168,x]+F[165,x]
F[165,x] = -F[150,x]+F[166,x]
F[166,x] = 1/F[4,x]*F[167,x]
F[167,x] = F[131,x]
F[168,x] = F[156,x]
F[170,x,k[0]] = F[169,x,k[0]]*F[4,x]
F[170,x,k[0]] = F[139,x,k[0]]
F[171,x] = F[172,x]*F[181,x]
F[172,x] = F[173,x]+F[176,x]
F[173,x] = F[1,x]+F[174,x]
F[174,x] = F[175,x]
F[175,x] = F[173,x]*F[4,x]
F[176,x] = F[174,x]+F[177,x]
F[177,x] = F[178,x]+F[180,x]+F[29,x]
F[178,x] = F[179,x]*F[4,x]
F[179,x] = F[174,x]+F[177,x]
F[180,x] = F[176,x]*F[4,x]
F[181,x] = 1/F[173,x]*F[182,x]
F[182,x] = F[183,x]
F[184,x,k[0]] = F[183,x]+F[186,x,k[0]]
F[185,x,k[0]] = F[184,x,k[0]]*F[4,x]
F[185,x,k[0]] = F[163,x,k[0]]
F[187,x,k[0]] = F[186,x,k[0]]+F[189,x]
F[188,x,k[0]] = F[187,x,k[0]]*F[4,x]
F[188,x,k[0]] = F[163,x,k[0]]
F[189,x] = -F[191,x]+F[190,x]
F[190,x] = F[187,x,1]
F[191,x] = -F[192,x]+F[147,x]
F[192,x] = F[193,x,1]
F[193,x,k[0]] = F[142,x]*F[65,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{10}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{30}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{29}\! \left(x \right) = 0
F_{30}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{30}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{36}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{48}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = -\frac{-y F_{9}\! \left(x , y\right)+F_{9}\! \left(x , 1\right)}{-1+y}
F_{59}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{64}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{71}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{82}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{85}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{68}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{92}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{61}\! \left(x , y\right)+F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{29}\! \left(x \right)+F_{82}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{61}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{119}\! \left(x , y\right)+F_{29}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{106}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{85}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{114}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{93}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{81}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{117}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{116}\! \left(x , y\right)+F_{29}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{70}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{122}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{123}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{127}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{123}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x \right)+F_{133}\! \left(x , y\right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{135}\! \left(x , y\right) = -\frac{y \left(F_{136}\! \left(x , 1\right)-F_{136}\! \left(x , y\right)\right)}{-1+y}
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{138}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{11}\! \left(x , y\right)+F_{133}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{64}\! \left(x , y\right)^{2} F_{14}\! \left(x , y\right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{173}\! \left(x \right) F_{174}\! \left(x \right)}
F_{143}\! \left(x \right) = -F_{153}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = \frac{F_{145}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{4}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{8}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x , 1\right)
F_{151}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{152}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{11}\! \left(x , y\right)
F_{153}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{147}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{173} \left(x \right)^{2} F_{159}\! \left(x \right) F_{4}\! \left(x \right)
F_{159}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{160}\! \left(x \right)
F_{161}\! \left(x , y\right) = F_{160}\! \left(x \right)+F_{169}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{161}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{131}\! \left(x \right)
F_{168}\! \left(x \right) = F_{156}\! \left(x \right)
F_{170}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{170}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{181}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{176}\! \left(x \right)
F_{173}\! \left(x \right) = F_{1}\! \left(x \right)+F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{176}\! \left(x \right) = F_{174}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{180}\! \left(x \right)+F_{29}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{4}\! \left(x \right)
F_{179}\! \left(x \right) = F_{174}\! \left(x \right)+F_{177}\! \left(x \right)
F_{180}\! \left(x \right) = F_{176}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = \frac{F_{182}\! \left(x \right)}{F_{173}\! \left(x \right)}
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{184}\! \left(x , y\right) = F_{183}\! \left(x \right)+F_{186}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{184}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{189}\! \left(x \right)
F_{188}\! \left(x , y\right) = F_{187}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{188}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{189}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{187}\! \left(x , 1\right)
F_{191}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{147}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x , 1\right)
F_{193}\! \left(x , y\right) = F_{142}\! \left(x \right) F_{65}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_10(x, k_0), F_14(x, k_0)*F_9(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_49(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x, k_0), F_16(x, k_0) + F_27(x, k_0))
Eq(F_16(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_14(x, k_0)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x, k_0) + F_21(x, k_0))
Eq(F_20(x, k_0), F_1(x) + F_14(x, k_0))
Eq(F_21(x, k_0), F_17(x, k_0) + F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0))
Eq(F_23(x, k_0), F_14(x, k_0)*F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0) + F_26(x, k_0))
Eq(F_25(x, k_0), F_14(x, k_0))
Eq(F_26(x, k_0), F_22(x, k_0))
Eq(F_27(x, k_0), F_12(x, k_0) + F_28(x, k_0))
Eq(F_28(x, k_0), F_29(x) + F_30(x, k_0) + F_40(x, k_0))
Eq(F_29(x), 0)
Eq(F_30(x, k_0), F_14(x, k_0)*F_31(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0) + F_35(x, k_0))
Eq(F_32(x, k_0), F_14(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_14(x, k_0)*F_17(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0) + F_38(x, k_0))
Eq(F_36(x, k_0), F_29(x) + F_30(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), F_12(x, k_0)*F_14(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_14(x, k_0)*F_28(x, k_0))
Eq(F_40(x, k_0), F_14(x, k_0)*F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0) + F_43(x, k_0))
Eq(F_42(x, k_0), F_12(x, k_0) + F_36(x, k_0))
Eq(F_43(x, k_0), F_28(x, k_0) + F_44(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_14(x, k_0)*F_46(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_48(x, k_0))
Eq(F_47(x, k_0), F_36(x, k_0))
Eq(F_48(x, k_0), F_44(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_4(x)*F_51(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0) + F_53(x, k_0))
Eq(F_52(x, k_0), F_12(x, k_0)*F_5(x))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_14(x, k_0)*F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0) + F_59(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0)*F_58(x, k_0))
Eq(F_57(x, k_0), F_1(x) + F_12(x, k_0))
Eq(F_58(x, k_0), (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_59(x, k_0), F_128(x, k_0)*F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0) + F_70(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_14(x, k_0)*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0) + F_67(x, k_0))
Eq(F_64(x, k_0), F_1(x) + F_65(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0))
Eq(F_66(x, k_0), F_14(x, k_0)*F_64(x, k_0))
Eq(F_67(x, k_0), F_65(x, k_0) + F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_14(x, k_0)*F_67(x, k_0))
Eq(F_70(x, k_0), F_29(x) + F_71(x, k_0) + F_78(x, k_0))
Eq(F_71(x, k_0), F_14(x, k_0)*F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0) + F_74(x, k_0))
Eq(F_73(x, k_0), F_65(x, k_0) + F_68(x, k_0))
Eq(F_74(x, k_0), F_68(x, k_0) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_14(x, k_0)*F_77(x, k_0))
Eq(F_77(x, k_0), F_68(x, k_0) + F_75(x, k_0))
Eq(F_78(x, k_0), F_14(x, k_0)*F_79(x, k_0))
Eq(F_79(x, k_0), F_101(x, k_0) + F_80(x, k_0))
Eq(F_80(x, k_0), F_61(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_29(x) + F_82(x, k_0) + F_90(x, k_0))
Eq(F_82(x, k_0), F_14(x, k_0)*F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0) + F_87(x, k_0))
Eq(F_84(x, k_0), F_14(x, k_0) + F_85(x, k_0))
Eq(F_85(x, k_0), F_86(x, k_0))
Eq(F_86(x, k_0), F_14(x, k_0)*F_65(x, k_0))
Eq(F_87(x, k_0), F_85(x, k_0) + F_88(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), F_14(x, k_0)*F_68(x, k_0))
Eq(F_90(x, k_0), F_14(x, k_0)*F_91(x, k_0))
Eq(F_91(x, k_0), F_92(x, k_0) + F_95(x, k_0))
Eq(F_92(x, k_0), F_61(x, k_0) + F_93(x, k_0))
Eq(F_93(x, k_0), F_29(x) + F_82(x, k_0) + F_94(x, k_0))
Eq(F_94(x, k_0), F_14(x, k_0)*F_61(x, k_0))
Eq(F_95(x, k_0), F_81(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_14(x, k_0)*F_98(x, k_0))
Eq(F_98(x, k_0), F_100(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_93(x, k_0))
Eq(F_100(x, k_0), F_96(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0) + F_70(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0) + F_109(x, k_0) + F_119(x, k_0) + F_29(x))
Eq(F_103(x, k_0), F_104(x, k_0)*F_14(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0) + F_106(x, k_0))
Eq(F_105(x, k_0), F_85(x, k_0) + F_88(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0) + F_88(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0))
Eq(F_108(x, k_0), F_14(x, k_0)*F_75(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0)*F_14(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0) + F_114(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0) + F_93(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_113(x, k_0), F_14(x, k_0)*F_81(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0) + F_117(x, k_0))
Eq(F_115(x, k_0), F_103(x, k_0) + F_109(x, k_0) + F_116(x, k_0) + F_29(x))
Eq(F_116(x, k_0), F_14(x, k_0)*F_70(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0))
Eq(F_118(x, k_0), F_102(x, k_0)*F_14(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0)*F_14(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0) + F_122(x, k_0))
Eq(F_121(x, k_0), F_115(x, k_0) + F_70(x, k_0))
Eq(F_122(x, k_0), F_102(x, k_0) + F_123(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0)*F_14(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0) + F_127(x, k_0))
Eq(F_126(x, k_0), F_115(x, k_0))
Eq(F_127(x, k_0), F_123(x, k_0))
Eq(F_129(x, k_0), F_128(x, k_0)*F_4(x))
Eq(F_129(x, k_0), F_130(x, k_0))
Eq(F_130(x, k_0), F_131(x) + F_133(x, k_0))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_4(x)*F_8(x))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0)*F_4(x))
Eq(F_135(x, k_0), -F_136(x, 1) + (k_0*F_136(x, k_0) - F_136(x, 1))/(k_0 - 1))
Eq(F_136(x, k_0), F_137(x, k_0) + F_138(x, k_0))
Eq(F_137(x, k_0), F_11(x, k_0) + F_133(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0))
Eq(F_139(x, k_0), F_140(x, k_0)*F_4(x))
Eq(F_140(x, k_0), F_141(x, k_0))
Eq(F_141(x, k_0), F_14(x, k_0)*F_142(x)*F_64(x, k_0)**2)
Eq(F_142(x), F_143(x)/(F_173(x)*F_174(x)))
Eq(F_143(x), F_144(x) - F_153(x))
Eq(F_144(x), F_145(x)/F_4(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_4(x))
Eq(F_147(x), F_148(x)/F_4(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), -F_150(x) + F_8(x))
Eq(F_150(x), F_151(x, 1))
Eq(F_151(x, k_0), F_130(x, k_0) + F_152(x, k_0))
Eq(F_152(x, k_0), F_0(x) + F_11(x, k_0))
Eq(F_153(x), F_147(x) - F_154(x))
Eq(F_154(x), F_155(x)/F_4(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x)*F_4(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_173(x)**2*F_4(x))
Eq(F_159(x), F_160(x) - F_171(x))
Eq(F_161(x, k_0), F_160(x) + F_169(x, k_0))
Eq(F_162(x, k_0), F_161(x, k_0)*F_4(x))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_138(x, k_0) + F_164(x))
Eq(F_164(x), F_165(x) - F_168(x))
Eq(F_165(x), -F_150(x) + F_166(x))
Eq(F_166(x), F_167(x)/F_4(x))
Eq(F_167(x), F_131(x))
Eq(F_168(x), F_156(x))
Eq(F_170(x, k_0), F_169(x, k_0)*F_4(x))
Eq(F_170(x, k_0), F_139(x, k_0))
Eq(F_171(x), F_172(x)*F_181(x))
Eq(F_172(x), F_173(x) + F_176(x))
Eq(F_173(x), F_1(x) + F_174(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_173(x)*F_4(x))
Eq(F_176(x), F_174(x) + F_177(x))
Eq(F_177(x), F_178(x) + F_180(x) + F_29(x))
Eq(F_178(x), F_179(x)*F_4(x))
Eq(F_179(x), F_174(x) + F_177(x))
Eq(F_180(x), F_176(x)*F_4(x))
Eq(F_181(x), F_182(x)/F_173(x))
Eq(F_182(x), F_183(x))
Eq(F_184(x, k_0), F_183(x) + F_186(x, k_0))
Eq(F_185(x, k_0), F_184(x, k_0)*F_4(x))
Eq(F_185(x, k_0), F_163(x, k_0))
Eq(F_187(x, k_0), F_186(x, k_0) + F_189(x))
Eq(F_188(x, k_0), F_187(x, k_0)*F_4(x))
Eq(F_188(x, k_0), F_163(x, k_0))
Eq(F_189(x), F_190(x) - F_191(x))
Eq(F_190(x), F_187(x, 1))
Eq(F_191(x), F_147(x) - F_192(x))
Eq(F_192(x), F_193(x, 1))
Eq(F_193(x, k_0), F_142(x)*F_65(x, k_0))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "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", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "point_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [1, 0], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [1, 0], [2, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 1], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 0], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 0], [2, 1], [2, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 0], [2, 0], [2, 0], [2, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[1, 0], [1, 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