03214_03241_03421_30214_30241_30421
Counting sequence:
1, 1, 2, 6, 24, 114, 596, 3292, 18806, 109850, 651902, 3915492, 23744870, 145156886, 893509416, 5533356784, 34452494514, 215557445766, 1354631363502, 8547278977456, 54129915150820, 343969935649762, 2192614137564928, 14017135249661042, 89850108908202576, 577372576031820590, 3718739148370514224, 24003145309088474568, 155242492078418935652, 1005925541038742960224, 6529525993924589242836, 42453197988445192498940, 276444863256832084311366, 1802752405684933246108016, 11772168758094662094060452, 76972585948518529393206218, 503899501444614237250382166, 3302566023466469535159546690, 21668681378810960941728287912, 142318875685848815465157771964, 935662057155011877152526548970, 6157169456152453670536246703538, 40553592341831541761687528908014, 267328712259540699037803110402636, 1763652734920495959265271709590014, 11644370326663929123680489311149948, 76937788845369326728333532158279010, 508710134368192054261537162807183172, 3365853251834783292866789420522409224, 22284452016809085942844150830998018080, 147631611804136797018217026187291150106, 978625849783860788747883469497438523720, 6490883966974941546790336073235799120688, 43075600841938303152192981029842892939590, 286015918781059286023417375481931438050488, 1900080276832329212536790306554782279853664, 12628988143895916620137810013761078076658998, 83979333828474333648012718110991842137431320, 558697023973392139628249867104293027316961100, 3718549110572002790873818617647440475545882642, 24760386967114853991731704474355292595080329954, 164938450329505264969687515670404760264906312528, 1099160471162276154996812555756590068643475125554, 7327729310788764922467368519876871194844282104884, 48869909820318096108513970411932554361685228751620, 326041127646751283691107604769083520793580171739732, 2175991140123140819386306592183026485394381567096966, 14527507977734340766396445525807350529577449772739720, 97021943009400158325153231949785486259840122275165104, 648170756710700206065208446078938188387887680058109592, 4331571386281271622791002754279157779740761176209458890, 28955710485190306254236507336337862110082229530510814606, 193620783454507565321017987420991406414713497542168333130, 1295075725371612606664705416620005977869933915447418657648, 8664836763148937198522610967431976594616411042845950562284, 57988832748250610374677118100442658174459207733801034113954, 388189661216105818726273646510416389491409323676485647559050, 2599298511291235505625213640971883552944685664291316136146156, 17409169128744148978849307821594166783053694319655369508096510, 116629075034762562757166454405974703357200818077127384607833826, 781519523229702109626928627699958230542909113438742207489029990, 5238108119521716062342120814275320722947506684232473417448721594, 35116257085266632377517291798007429297237094087741965987577044562, 235471697452177430939905943289488442057799316477153892327793428602, 1579296334702492511907789411889775032658972104137766379116324562694, 10594506350039656275927682559094937664179640283979287444382641510950, 71086618248568128522810919784428647372497212496405582276501243929138, 477070907732654040217646644008926955431487653201414738513256134821312, 3202314300433397873695201417965938155989344157075695320636707194103748, 21499530547883598440915368845190832103292447056565462636493823281510624, 144369723479266461600759969977090503542627124675940299291312527049182654, 969624508089460584516472531005120646019159951358660695865166652221721704, 6513427767807001271267499944856269585219675195608149485703034016546302950, 43761528122241516664728671519286985223762096873397642632536820710234455702, 294069900028373813884482302153321630973272144625847557538513241627440010940, 1976433906180982610322987224208299999356694874825080440136914853315757027030, 13285750838434850452872672657942168720550049735876196505509463449764330990856, 89322424773584328144199824079897364652224580251008852108164460000562493644296, 600625892817636186217749980412233465273086323504772178209157840370703960237790, 4039385851721329576441865382408291569770599319128900297590029493294306861267562, 27170211027053191218246381919826513962439325396534043674613113374392535897517568
Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24702/
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[14,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[14,x]*F[7,x]
F[7,x] = F[0,x]+F[156,x]+F[157,x]+F[8,x]
F[8,x] = F[14,x]*F[9,x]
F[9,x] = F[10,x,1]
F[10,x,k[0]] = F[0,x]+F[11,x,k[0]]+F[124,x,k[0]]+F[15,x,k[0]]+F[8,x]
F[11,x,k[0]] = k[0]*F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[14,x]
F[13,x,k[0]] = 1/(-1+k[0])*(F[10,x,k[0]]*k[0]-F[10,x,1])
F[14,x] = x
F[15,x,k[0]] = F[14,x]*F[16,x,k[0]]
F[16,x,k[0]] = F[17,x]+F[57,x,k[0]]
F[17,x] = F[18,x]+F[7,x]
F[18,x] = F[19,x]
F[19,x] = F[0,x]*F[14,x]*F[20,x]
F[20,x] = 1/F[14,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]+F[24,x]+F[52,x]+F[53,x]+F[55,x]
F[23,x] = 0
F[24,x] = F[14,x]*F[25,x]
F[25,x] = F[26,x,1]
F[26,x,k[0]] = F[23,x]+F[27,x,k[0]]+F[29,x,k[0]]+F[31,x,k[0]]+F[33,x,k[0]]+F[50,x,k[0]]
F[27,x,k[0]] = F[14,x]*F[28,x,k[0]]
F[28,x,k[0]] = 1/(-1+k[0])*(F[26,x,k[0]]*k[0]-F[26,x,1])
F[29,x,k[0]] = F[26,x,k[0]]*F[30,x,k[0]]
F[30,x,k[0]] = k[0]*x
F[31,x,k[0]] = F[14,x]*F[32,x,k[0]]
F[32,x,k[0]] = 1/(-1+k[0])*(F[26,x,k[0]]*k[0]-F[26,x,1])
F[33,x,k[0]] = F[14,x]*F[34,x,k[0]]
F[34,x,k[0]] = 1/(-1+k[0])*(F[35,x,k[0]]*k[0]-F[35,x,1])
F[35,x,k[0]] = F[1,x]+F[36,x,k[0]]+F[38,x,k[0]]+F[39,x,k[0]]+F[40,x,k[0]]
F[36,x,k[0]] = F[14,x]*F[37,x,k[0]]
F[37,x,k[0]] = 1/(-1+k[0])*(F[35,x,k[0]]*k[0]-F[35,x,1])
F[38,x,k[0]] = F[30,x,k[0]]*F[35,x,k[0]]
F[39,x,k[0]] = F[14,x]*F[35,x,k[0]]
F[40,x,k[0]] = F[14,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[1,x]+F[39,x,k[0]]+F[40,x,k[0]]+F[42,x,k[0]]+F[44,x,k[0]]+F[45,x,k[0]]
F[42,x,k[0]] = F[14,x]*F[43,x,k[0]]
F[43,x,k[0]] = 1/(-1+k[0])*(F[41,x,k[0]]*k[0]-F[41,x,1])
F[44,x,k[0]] = F[30,x,k[0]]*F[41,x,k[0]]
F[45,x,k[0]] = F[14,x]*F[46,x,k[0]]
F[46,x,k[0]] = 2*F[45,x,k[0]]+F[1,x]+F[47,x,k[0]]+F[49,x,k[0]]
F[47,x,k[0]] = F[14,x]*F[48,x,k[0]]
F[48,x,k[0]] = 1/(-1+k[0])*(F[46,x,k[0]]*k[0]-F[46,x,1])
F[49,x,k[0]] = F[30,x,k[0]]*F[46,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]
F[51,x,k[0]] = F[14,x]*F[26,x,k[0]]
F[52,x] = F[14,x]*F[25,x]
F[53,x] = F[14,x]*F[54,x]
F[54,x] = F[35,x,1]
F[55,x] = F[56,x]
F[56,x] = F[14,x]*F[22,x]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = 2*F[23,x]+F[59,x,k[0]]+F[63,x,k[0]]+F[65,x,k[0]]
F[59,x,k[0]] = k[0]*F[60,x,k[0]]
F[60,x,k[0]] = F[14,x]*F[61,x,k[0]]
F[61,x,k[0]] = 1/(-1+k[0])*(F[62,x,k[0]]*k[0]-F[62,x,1])
F[62,x,k[0]] = F[58,x,k[0]]+F[7,x]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[14,x]*F[58,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]
F[66,x,k[0]] = F[0,x]*F[14,x]*F[67,x,k[0]]
F[67,x,k[0]] = 2*F[23,x]+F[122,x,k[0]]+F[123,x,k[0]]+F[68,x,k[0]]
F[68,x,k[0]] = k[0]*F[69,x,k[0]]
F[69,x,k[0]] = F[14,x]*F[70,x,k[0]]
F[70,x,k[0]] = 1/(-1+k[0])*(F[71,x,k[0]]*k[0]-F[71,x,1])
F[71,x,k[0]] = F[67,x,k[0]]+F[72,x]
F[72,x] = F[1,x]+F[121,x]+F[73,x]+F[75,x]
F[73,x] = F[14,x]*F[74,x]
F[74,x] = F[71,x,1]
F[75,x] = F[14,x]*F[76,x]
F[76,x] = 2*F[120,x]+F[1,x]+F[119,x]+F[77,x]
F[77,x] = F[14,x]*F[78,x]
F[78,x] = F[79,x,1]
F[79,x,k[0]] = 2*F[118,x,k[0]]+F[1,x]+F[77,x]+F[80,x,k[0]]+F[83,x,k[0]]
F[80,x,k[0]] = k[0]*F[81,x,k[0]]
F[81,x,k[0]] = F[14,x]*F[82,x,k[0]]
F[82,x,k[0]] = 1/(-1+k[0])*(F[79,x,k[0]]*k[0]-F[79,x,1])
F[83,x,k[0]] = F[14,x]*F[84,x,k[0]]
F[84,x,k[0]] = F[117,x,k[0]]+F[85,x]
F[85,x] = F[1,x]+F[111,x]+F[112,x]+F[114,x]+F[116,x]+F[86,x]
F[86,x] = F[14,x]*F[87,x]
F[87,x] = F[88,x,1]
F[88,x,k[0]] = F[1,x]+F[108,x,k[0]]+F[110,x,k[0]]+F[89,x,k[0]]+F[91,x,k[0]]+F[92,x,k[0]]+F[94,x,k[0]]
F[89,x,k[0]] = F[14,x]*F[90,x,k[0]]
F[90,x,k[0]] = 1/(-1+k[0])*(F[88,x,k[0]]*k[0]-F[88,x,1])
F[91,x,k[0]] = F[30,x,k[0]]*F[88,x,k[0]]
F[92,x,k[0]] = F[14,x]*F[93,x,k[0]]
F[93,x,k[0]] = 1/(-1+k[0])*(F[88,x,k[0]]*k[0]-F[88,x,1])
F[94,x,k[0]] = F[14,x]*F[95,x,k[0]]
F[95,x,k[0]] = 1/(-1+k[0])*(F[96,x,k[0]]*k[0]-F[96,x,1])
F[96,x,k[0]] = F[1,x]+F[100,x,k[0]]+F[101,x,k[0]]+F[107,x,k[0]]+F[97,x,k[0]]+F[99,x,k[0]]
F[97,x,k[0]] = F[14,x]*F[98,x,k[0]]
F[98,x,k[0]] = 1/(-1+k[0])*(F[96,x,k[0]]*k[0]-F[96,x,1])
F[99,x,k[0]] = F[30,x,k[0]]*F[96,x,k[0]]
F[100,x,k[0]] = F[14,x]*F[96,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]*F[14,x]
F[102,x,k[0]] = F[1,x]+F[101,x,k[0]]+F[103,x,k[0]]+F[105,x,k[0]]+F[106,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]*F[14,x]
F[104,x,k[0]] = 1/(-1+k[0])*(F[102,x,k[0]]*k[0]-F[102,x,1])
F[105,x,k[0]] = F[102,x,k[0]]*F[30,x,k[0]]
F[106,x,k[0]] = F[102,x,k[0]]*F[14,x]
F[107,x,k[0]] = F[14,x]*F[96,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]*F[14,x]
F[109,x,k[0]] = 1/(-1+k[0])*(F[102,x,k[0]]*k[0]-F[102,x,1])
F[110,x,k[0]] = F[14,x]*F[88,x,k[0]]
F[111,x] = F[14,x]*F[87,x]
F[112,x] = F[113,x]*F[14,x]
F[113,x] = F[96,x,1]
F[114,x] = F[115,x]*F[14,x]
F[115,x] = F[102,x,1]
F[116,x] = F[14,x]*F[85,x]
F[117,x,k[0]] = F[67,x,k[0]]
F[118,x,k[0]] = F[14,x]*F[79,x,k[0]]
F[119,x] = F[14,x]*F[85,x]
F[120,x] = F[14,x]*F[76,x]
F[121,x] = F[14,x]*F[72,x]
F[122,x,k[0]] = F[123,x,k[0]]
F[123,x,k[0]] = F[14,x]*F[67,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]*F[14,x]
F[126,x,k[0]] = F[127,x,k[0]]+F[128,x,k[0]]
F[127,x,k[0]] = F[0,x]*F[79,x,k[0]]
F[129,x,k[0]] = F[128,x,k[0]]+F[155,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]+F[141,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]*F[4,x]
F[131,x,k[0]] = F[1,x]+F[132,x,k[0]]+F[135,x]+F[137,x]+F[140,x,k[0]]
F[132,x,k[0]] = k[0]*F[133,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]*F[14,x]
F[134,x,k[0]] = 1/(-1+k[0])*(F[131,x,k[0]]*k[0]-F[131,x,1])
F[135,x] = F[136,x]*F[14,x]
F[136,x] = F[131,x,1]
F[137,x] = F[138,x]*F[14,x]
F[138,x] = F[1,x]+F[135,x]+F[137,x]+F[139,x]
F[139,x] = F[138,x]*F[14,x]
F[140,x,k[0]] = F[131,x,k[0]]*F[14,x]
F[141,x,k[0]] = F[142,x]*F[145,x,k[0]]
F[142,x] = F[0,x]+F[143,x]
F[143,x] = F[144,x]
F[144,x] = F[0,x]*F[14,x]*F[72,x]
F[146,x,k[0]] = F[131,x,k[0]]+F[145,x,k[0]]
F[146,x,k[0]] = 2*F[154,x,k[0]]+F[1,x]+F[147,x,k[0]]+F[150,x]+F[152,x]
F[147,x,k[0]] = k[0]*F[148,x,k[0]]
F[148,x,k[0]] = F[14,x]*F[149,x,k[0]]
F[149,x,k[0]] = 1/(-1+k[0])*(F[146,x,k[0]]*k[0]-F[146,x,1])
F[150,x] = F[14,x]*F[151,x]
F[151,x] = F[146,x,1]
F[152,x] = F[153,x,1]
F[153,x,k[0]] = F[102,x,k[0]]*F[30,x,k[0]]
F[154,x,k[0]] = F[14,x]*F[146,x,k[0]]
F[155,x,k[0]] = F[0,x]*F[146,x,k[0]]
F[156,x] = F[14,x]*F[17,x]
F[157,x] = F[158,x]
F[158,x] = F[14,x]*F[159,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[0,x]*F[76,x]
F[161,x] = F[162,x]+F[163,x]
F[162,x] = F[138,x]*F[5,x]
F[163,x] = F[143,x]*F[164,x]
F[164,x] = F[165,x,1]
F[165,x,k[0]] = F[106,x,k[0]]+F[166,x,k[0]]+F[168,x,k[0]]+F[169,x,k[0]]+F[23,x]
F[166,x,k[0]] = F[14,x]*F[167,x,k[0]]
F[167,x,k[0]] = 1/(-1+k[0])*(F[165,x,k[0]]*k[0]-F[165,x,1])
F[168,x,k[0]] = F[165,x,k[0]]*F[30,x,k[0]]
F[169,x,k[0]] = F[14,x]*F[165,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_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{14}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{0}\! \left(x \right)+F_{156}\! \left(x \right)+F_{157}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{14}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x , 1\right)
F_{10}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{11}\! \left(x , y\right)+F_{124}\! \left(x , y\right)+F_{15}\! \left(x , y\right)+F_{8}\! \left(x \right)
F_{11}\! \left(x , y\right) = y F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{13}\! \left(x , y\right) = -\frac{-F_{10}\! \left(x , y\right) y +F_{10}\! \left(x , 1\right)}{-1+y}
F_{14}\! \left(x \right) = x
F_{15}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x \right)+F_{57}\! \left(x , y\right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{7}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)+F_{52}\! \left(x \right)+F_{53}\! \left(x \right)+F_{55}\! \left(x \right)
F_{23}\! \left(x \right) = 0
F_{24}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{26}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{27}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y\right)+F_{33}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = -\frac{-F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , 1\right)}{-1+y}
F_{29}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = y x
F_{31}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = -\frac{-F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , 1\right)}{-1+y}
F_{33}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = -\frac{-F_{35}\! \left(x , y\right) y +F_{35}\! \left(x , 1\right)}{-1+y}
F_{35}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{36}\! \left(x , y\right)+F_{38}\! \left(x , y\right)+F_{39}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = -\frac{-F_{35}\! \left(x , y\right) y +F_{35}\! \left(x , 1\right)}{-1+y}
F_{38}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{35}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{35}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{39}\! \left(x , y\right)+F_{40}\! \left(x , y\right)+F_{42}\! \left(x , y\right)+F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = -\frac{-F_{41}\! \left(x , y\right) y +F_{41}\! \left(x , 1\right)}{-1+y}
F_{44}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = 2 F_{45}\! \left(x , y\right)+F_{1}\! \left(x \right)+F_{47}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = -\frac{-F_{46}\! \left(x , y\right) y +F_{46}\! \left(x , 1\right)}{-1+y}
F_{49}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{46}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{52}\! \left(x \right) = F_{14}\! \left(x \right) F_{25}\! \left(x \right)
F_{53}\! \left(x \right) = F_{14}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{35}\! \left(x , 1\right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{59}\! \left(x , y\right)+F_{63}\! \left(x , y\right)+F_{65}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = y F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = -\frac{-F_{62}\! \left(x , y\right) y +F_{62}\! \left(x , 1\right)}{-1+y}
F_{62}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{58}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right) F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = 2 F_{23}\! \left(x \right)+F_{122}\! \left(x , y\right)+F_{123}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = y F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = -\frac{-F_{71}\! \left(x , y\right) y +F_{71}\! \left(x , 1\right)}{-1+y}
F_{71}\! \left(x , y\right) = F_{67}\! \left(x , y\right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)+F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = F_{14}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{71}\! \left(x , 1\right)
F_{75}\! \left(x \right) = F_{14}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = 2 F_{120}\! \left(x \right)+F_{1}\! \left(x \right)+F_{119}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{14}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x , 1\right)
F_{79}\! \left(x , y\right) = 2 F_{118}\! \left(x , y\right)+F_{1}\! \left(x \right)+F_{77}\! \left(x \right)+F_{80}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = y F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = -\frac{-F_{79}\! \left(x , y\right) y +F_{79}\! \left(x , 1\right)}{-1+y}
F_{83}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{1}\! \left(x \right)+F_{111}\! \left(x \right)+F_{112}\! \left(x \right)+F_{114}\! \left(x \right)+F_{116}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{14}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x , 1\right)
F_{88}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{108}\! \left(x , y\right)+F_{110}\! \left(x , y\right)+F_{89}\! \left(x , y\right)+F_{91}\! \left(x , y\right)+F_{92}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = -\frac{-F_{88}\! \left(x , y\right) y +F_{88}\! \left(x , 1\right)}{-1+y}
F_{91}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{88}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = -\frac{-F_{88}\! \left(x , y\right) y +F_{88}\! \left(x , 1\right)}{-1+y}
F_{94}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = -\frac{-F_{96}\! \left(x , y\right) y +F_{96}\! \left(x , 1\right)}{-1+y}
F_{96}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{100}\! \left(x , y\right)+F_{101}\! \left(x , y\right)+F_{107}\! \left(x , y\right)+F_{97}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = -\frac{-F_{96}\! \left(x , y\right) y +F_{96}\! \left(x , 1\right)}{-1+y}
F_{99}\! \left(x , y\right) = F_{30}\! \left(x , y\right) F_{96}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{102}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{101}\! \left(x , y\right)+F_{103}\! \left(x , y\right)+F_{105}\! \left(x , y\right)+F_{106}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{104}\! \left(x , y\right) = -\frac{-y F_{102}\! \left(x , y\right)+F_{102}\! \left(x , 1\right)}{-1+y}
F_{105}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{107}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{109}\! \left(x , y\right) = -\frac{-y F_{102}\! \left(x , y\right)+F_{102}\! \left(x , 1\right)}{-1+y}
F_{110}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{88}\! \left(x , y\right)
F_{111}\! \left(x \right) = F_{14}\! \left(x \right) F_{87}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{14}\! \left(x \right)
F_{113}\! \left(x \right) = F_{96}\! \left(x , 1\right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{14}\! \left(x \right)
F_{115}\! \left(x \right) = F_{102}\! \left(x , 1\right)
F_{116}\! \left(x \right) = F_{14}\! \left(x \right) F_{85}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{79}\! \left(x , y\right)
F_{119}\! \left(x \right) = F_{14}\! \left(x \right) F_{85}\! \left(x \right)
F_{120}\! \left(x \right) = F_{14}\! \left(x \right) F_{76}\! \left(x \right)
F_{121}\! \left(x \right) = F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{67}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{128}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{79}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{128}\! \left(x , y\right)+F_{155}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{141}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{132}\! \left(x , y\right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{140}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = y F_{133}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{134}\! \left(x , y\right) = -\frac{-F_{131}\! \left(x , y\right) y +F_{131}\! \left(x , 1\right)}{-1+y}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{14}\! \left(x \right)
F_{136}\! \left(x \right) = F_{131}\! \left(x , 1\right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right) F_{14}\! \left(x \right)
F_{138}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{138}\! \left(x \right) F_{14}\! \left(x \right)
F_{140}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{14}\! \left(x \right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x \right) F_{145}\! \left(x , y\right)
F_{142}\! \left(x \right) = F_{0}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{0}\! \left(x \right) F_{14}\! \left(x \right) F_{72}\! \left(x \right)
F_{146}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{145}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = 2 F_{154}\! \left(x , y\right)+F_{1}\! \left(x \right)+F_{147}\! \left(x , y\right)+F_{150}\! \left(x \right)+F_{152}\! \left(x \right)
F_{147}\! \left(x , y\right) = y F_{148}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = -\frac{-F_{146}\! \left(x , y\right) y +F_{146}\! \left(x , 1\right)}{-1+y}
F_{150}\! \left(x \right) = F_{14}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{146}\! \left(x , 1\right)
F_{152}\! \left(x \right) = F_{153}\! \left(x , 1\right)
F_{153}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{146}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{146}\! \left(x , y\right)
F_{156}\! \left(x \right) = F_{14}\! \left(x \right) F_{17}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{14}\! \left(x \right) F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{0}\! \left(x \right) F_{76}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{163}\! \left(x \right)
F_{162}\! \left(x \right) = F_{138}\! \left(x \right) F_{5}\! \left(x \right)
F_{163}\! \left(x \right) = F_{143}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x , 1\right)
F_{165}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{166}\! \left(x , y\right)+F_{168}\! \left(x , y\right)+F_{169}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{166}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = -\frac{-y F_{165}\! \left(x , y\right)+F_{165}\! \left(x , 1\right)}{-1+y}
F_{168}\! \left(x , y\right) = F_{165}\! \left(x , y\right) F_{30}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{14}\! \left(x \right) F_{165}\! \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_14(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_14(x)*F_7(x))
Eq(F_7(x), F_0(x) + F_156(x) + F_157(x) + F_8(x))
Eq(F_8(x), F_14(x)*F_9(x))
Eq(F_9(x), F_10(x, 1))
Eq(F_10(x, k_0), F_0(x) + F_11(x, k_0) + F_124(x, k_0) + F_15(x, k_0) + F_8(x))
Eq(F_11(x, k_0), k_0*F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_14(x))
Eq(F_13(x, k_0), (k_0*F_10(x, k_0) - F_10(x, 1))/(k_0 - 1))
Eq(F_14(x), x)
Eq(F_15(x, k_0), F_14(x)*F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x) + F_57(x, k_0))
Eq(F_17(x), F_18(x) + F_7(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_0(x)*F_14(x)*F_20(x))
Eq(F_20(x), F_21(x)/F_14(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x) + F_24(x) + F_52(x) + F_53(x) + F_55(x))
Eq(F_23(x), 0)
Eq(F_24(x), F_14(x)*F_25(x))
Eq(F_25(x), F_26(x, 1))
Eq(F_26(x, k_0), F_23(x) + F_27(x, k_0) + F_29(x, k_0) + F_31(x, k_0) + F_33(x, k_0) + F_50(x, k_0))
Eq(F_27(x, k_0), F_14(x)*F_28(x, k_0))
Eq(F_28(x, k_0), (k_0*F_26(x, k_0) - F_26(x, 1))/(k_0 - 1))
Eq(F_29(x, k_0), F_26(x, k_0)*F_30(x, k_0))
Eq(F_30(x, k_0), k_0*x)
Eq(F_31(x, k_0), F_14(x)*F_32(x, k_0))
Eq(F_32(x, k_0), (-k_0*F_26(x, k_0) + F_26(x, 1))/(1 - k_0))
Eq(F_33(x, k_0), F_14(x)*F_34(x, k_0))
Eq(F_34(x, k_0), (-k_0*F_35(x, k_0) + F_35(x, 1))/(1 - k_0))
Eq(F_35(x, k_0), F_1(x) + F_36(x, k_0) + F_38(x, k_0) + F_39(x, k_0) + F_40(x, k_0))
Eq(F_36(x, k_0), F_14(x)*F_37(x, k_0))
Eq(F_37(x, k_0), (k_0*F_35(x, k_0) - F_35(x, 1))/(k_0 - 1))
Eq(F_38(x, k_0), F_30(x, k_0)*F_35(x, k_0))
Eq(F_39(x, k_0), F_14(x)*F_35(x, k_0))
Eq(F_40(x, k_0), F_14(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_1(x) + F_39(x, k_0) + F_40(x, k_0) + F_42(x, k_0) + F_44(x, k_0) + F_45(x, k_0))
Eq(F_42(x, k_0), F_14(x)*F_43(x, k_0))
Eq(F_43(x, k_0), (k_0*F_41(x, k_0) - F_41(x, 1))/(k_0 - 1))
Eq(F_44(x, k_0), F_30(x, k_0)*F_41(x, k_0))
Eq(F_45(x, k_0), F_14(x)*F_46(x, k_0))
Eq(F_46(x, k_0), F_1(x) + 2*F_45(x, k_0) + F_47(x, k_0) + F_49(x, k_0))
Eq(F_47(x, k_0), F_14(x)*F_48(x, k_0))
Eq(F_48(x, k_0), (k_0*F_46(x, k_0) - F_46(x, 1))/(k_0 - 1))
Eq(F_49(x, k_0), F_30(x, k_0)*F_46(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0))
Eq(F_51(x, k_0), F_14(x)*F_26(x, k_0))
Eq(F_52(x), F_14(x)*F_25(x))
Eq(F_53(x), F_14(x)*F_54(x))
Eq(F_54(x), F_35(x, 1))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_14(x)*F_22(x))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), 2*F_23(x) + F_59(x, k_0) + F_63(x, k_0) + F_65(x, k_0))
Eq(F_59(x, k_0), k_0*F_60(x, k_0))
Eq(F_60(x, k_0), F_14(x)*F_61(x, k_0))
Eq(F_61(x, k_0), (k_0*F_62(x, k_0) - F_62(x, 1))/(k_0 - 1))
Eq(F_62(x, k_0), F_58(x, k_0) + F_7(x))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_14(x)*F_58(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0))
Eq(F_66(x, k_0), F_0(x)*F_14(x)*F_67(x, k_0))
Eq(F_67(x, k_0), F_122(x, k_0) + F_123(x, k_0) + 2*F_23(x) + F_68(x, k_0))
Eq(F_68(x, k_0), k_0*F_69(x, k_0))
Eq(F_69(x, k_0), F_14(x)*F_70(x, k_0))
Eq(F_70(x, k_0), (k_0*F_71(x, k_0) - F_71(x, 1))/(k_0 - 1))
Eq(F_71(x, k_0), F_67(x, k_0) + F_72(x))
Eq(F_72(x), F_1(x) + F_121(x) + F_73(x) + F_75(x))
Eq(F_73(x), F_14(x)*F_74(x))
Eq(F_74(x), F_71(x, 1))
Eq(F_75(x), F_14(x)*F_76(x))
Eq(F_76(x), F_1(x) + F_119(x) + 2*F_120(x) + F_77(x))
Eq(F_77(x), F_14(x)*F_78(x))
Eq(F_78(x), F_79(x, 1))
Eq(F_79(x, k_0), F_1(x) + 2*F_118(x, k_0) + F_77(x) + F_80(x, k_0) + F_83(x, k_0))
Eq(F_80(x, k_0), k_0*F_81(x, k_0))
Eq(F_81(x, k_0), F_14(x)*F_82(x, k_0))
Eq(F_82(x, k_0), (k_0*F_79(x, k_0) - F_79(x, 1))/(k_0 - 1))
Eq(F_83(x, k_0), F_14(x)*F_84(x, k_0))
Eq(F_84(x, k_0), F_117(x, k_0) + F_85(x))
Eq(F_85(x), F_1(x) + F_111(x) + F_112(x) + F_114(x) + F_116(x) + F_86(x))
Eq(F_86(x), F_14(x)*F_87(x))
Eq(F_87(x), F_88(x, 1))
Eq(F_88(x, k_0), F_1(x) + F_108(x, k_0) + F_110(x, k_0) + F_89(x, k_0) + F_91(x, k_0) + F_92(x, k_0) + F_94(x, k_0))
Eq(F_89(x, k_0), F_14(x)*F_90(x, k_0))
Eq(F_90(x, k_0), (k_0*F_88(x, k_0) - F_88(x, 1))/(k_0 - 1))
Eq(F_91(x, k_0), F_30(x, k_0)*F_88(x, k_0))
Eq(F_92(x, k_0), F_14(x)*F_93(x, k_0))
Eq(F_93(x, k_0), (-k_0*F_88(x, k_0) + F_88(x, 1))/(1 - k_0))
Eq(F_94(x, k_0), F_14(x)*F_95(x, k_0))
Eq(F_95(x, k_0), (-k_0*F_96(x, k_0) + F_96(x, 1))/(1 - k_0))
Eq(F_96(x, k_0), F_1(x) + F_100(x, k_0) + F_101(x, k_0) + F_107(x, k_0) + F_97(x, k_0) + F_99(x, k_0))
Eq(F_97(x, k_0), F_14(x)*F_98(x, k_0))
Eq(F_98(x, k_0), (k_0*F_96(x, k_0) - F_96(x, 1))/(k_0 - 1))
Eq(F_99(x, k_0), F_30(x, k_0)*F_96(x, k_0))
Eq(F_100(x, k_0), F_14(x)*F_96(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0)*F_14(x))
Eq(F_102(x, k_0), F_1(x) + F_101(x, k_0) + F_103(x, k_0) + F_105(x, k_0) + F_106(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0)*F_14(x))
Eq(F_104(x, k_0), (k_0*F_102(x, k_0) - F_102(x, 1))/(k_0 - 1))
Eq(F_105(x, k_0), F_102(x, k_0)*F_30(x, k_0))
Eq(F_106(x, k_0), F_102(x, k_0)*F_14(x))
Eq(F_107(x, k_0), F_14(x)*F_96(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0)*F_14(x))
Eq(F_109(x, k_0), (-k_0*F_102(x, k_0) + F_102(x, 1))/(1 - k_0))
Eq(F_110(x, k_0), F_14(x)*F_88(x, k_0))
Eq(F_111(x), F_14(x)*F_87(x))
Eq(F_112(x), F_113(x)*F_14(x))
Eq(F_113(x), F_96(x, 1))
Eq(F_114(x), F_115(x)*F_14(x))
Eq(F_115(x), F_102(x, 1))
Eq(F_116(x), F_14(x)*F_85(x))
Eq(F_117(x, k_0), F_67(x, k_0))
Eq(F_118(x, k_0), F_14(x)*F_79(x, k_0))
Eq(F_119(x), F_14(x)*F_85(x))
Eq(F_120(x), F_14(x)*F_76(x))
Eq(F_121(x), F_14(x)*F_72(x))
Eq(F_122(x, k_0), F_123(x, k_0))
Eq(F_123(x, k_0), F_14(x)*F_67(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0)*F_14(x))
Eq(F_126(x, k_0), F_127(x, k_0) + F_128(x, k_0))
Eq(F_127(x, k_0), F_0(x)*F_79(x, k_0))
Eq(F_129(x, k_0), F_128(x, k_0) + F_155(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0) + F_141(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0)*F_4(x))
Eq(F_131(x, k_0), F_1(x) + F_132(x, k_0) + F_135(x) + F_137(x) + F_140(x, k_0))
Eq(F_132(x, k_0), k_0*F_133(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0)*F_14(x))
Eq(F_134(x, k_0), (k_0*F_131(x, k_0) - F_131(x, 1))/(k_0 - 1))
Eq(F_135(x), F_136(x)*F_14(x))
Eq(F_136(x), F_131(x, 1))
Eq(F_137(x), F_138(x)*F_14(x))
Eq(F_138(x), F_1(x) + F_135(x) + F_137(x) + F_139(x))
Eq(F_139(x), F_138(x)*F_14(x))
Eq(F_140(x, k_0), F_131(x, k_0)*F_14(x))
Eq(F_141(x, k_0), F_142(x)*F_145(x, k_0))
Eq(F_142(x), F_0(x) + F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_0(x)*F_14(x)*F_72(x))
Eq(F_146(x, k_0), F_131(x, k_0) + F_145(x, k_0))
Eq(F_146(x, k_0), F_1(x) + F_147(x, k_0) + F_150(x) + F_152(x) + 2*F_154(x, k_0))
Eq(F_147(x, k_0), k_0*F_148(x, k_0))
Eq(F_148(x, k_0), F_14(x)*F_149(x, k_0))
Eq(F_149(x, k_0), (k_0*F_146(x, k_0) - F_146(x, 1))/(k_0 - 1))
Eq(F_150(x), F_14(x)*F_151(x))
Eq(F_151(x), F_146(x, 1))
Eq(F_152(x), F_153(x, 1))
Eq(F_153(x, k_0), F_102(x, k_0)*F_30(x, k_0))
Eq(F_154(x, k_0), F_14(x)*F_146(x, k_0))
Eq(F_155(x, k_0), F_0(x)*F_146(x, k_0))
Eq(F_156(x), F_14(x)*F_17(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_14(x)*F_159(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_0(x)*F_76(x))
Eq(F_161(x), F_162(x) + F_163(x))
Eq(F_162(x), F_138(x)*F_5(x))
Eq(F_163(x), F_143(x)*F_164(x))
Eq(F_164(x), F_165(x, 1))
Eq(F_165(x, k_0), F_106(x, k_0) + F_166(x, k_0) + F_168(x, k_0) + F_169(x, k_0) + F_23(x))
Eq(F_166(x, k_0), F_14(x)*F_167(x, k_0))
Eq(F_167(x, k_0), (k_0*F_165(x, k_0) - F_165(x, 1))/(k_0 - 1))
Eq(F_168(x, k_0), F_165(x, k_0)*F_30(x, k_0))
Eq(F_169(x, k_0), F_14(x)*F_165(x, k_0))
Pack JSON:
{"name": "point_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 3, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 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]]}, {"patt": [3, 0, 2, 1, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 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], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 1], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 1], [2, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 4], [2, 4], [2, 4]]}, {"patt": [1, 2, 0], "pos": [[2, 4], [2, 4], [2, 4]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 1], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 1], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 1], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [1, 2, 0], "pos": [[1, 3], [1, 3], [1, 3]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 1], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 1], [1, 0]]}], "requirements": [], "assumptions": []}, {"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.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 1], [0, 2], [0, 5], [2, 0], [2, 1], [2, 4]], [[1, 3]]]}}, "idx": 0}, {"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": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], 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