01324_01342_01432
Counting sequence:
1, 1, 2, 6, 24, 117, 652, 3986, 26050, 178963, 1277820, 9407127, 70990882, 546790230, 4284188730, 34058034000, 274144024688, 2230614377559, 18321745783470, 151746276556798, 1266106935246726, 10633590626840385, 89836749074132866, 763030161502243644, 6512177962569418144, 55823793976752953601, 480458979518245787976, 4150423580799244923435, 35974917888629036542102, 312798746949360904891060, 2727638757503525167011584, 23849255951421698846911257, 209048779261243180282781956, 1836673491565497609355240084, 16171917228725438712168576428, 142684288478920455309524673060, 1261308075220220948873930113784, 11169832527068564393057102349547, 99084781377641025947822336782072, 880359789614945446961570295438980, 7833717758464087901736703481961030, 69806311758959487072005823332865375, 622884918654114766251754112861206348, 5565152277264510462055822081951359253, 49782234598463353012773305377710071090, 445834650128191334086529920427321213624, 3997156687062845653531669760591905485858, 35874341437279739387614344048792587204175, 322293179741696977227741485081867351250514, 2898231642363067812784079016745286141020366, 26086242442395011736742938317157829914144352, 235000738821130039813121548978781572531361516, 2118800560899548664385281603158019846583245428, 19118725751005843753563067960103218219466002159, 172648014100740733968698185937693467006596486198, 1560215584696872208096401089653921065137337224539, 14109622344753140614916964407700474464010358711928, 127685625436330309398924526439514629779564110055558, 1156253914046019071673622709196403920522629369846850, 10477034558004386878530391782237320713180236717441611, 94992085892310281702077264885602592370290828208007556, 861768917093169589386326384386343497010639989985515332, 7822391387274718877304777320001660862474721544036489710, 71043605854826256814136696767527065317664088663406361227, 645563613351418918963784618264561370692256147937137906454, 5869132887883528337449877133984075596281430239476145355028, 53385378883512697340727233125041222930154476774098402839254, 485822017113773910095983683663227130362012808986217372582040, 4423151906474681340981025218392693521423062048056442139080920, 40288393302512325830018182114894686765747930928381466109253941, 367126216180371861749609635420717628444676372105719918175185436, 3346820387568807488976414707216222359076906254061387562461492607, 30522874491272986084937951065346475138982431784107572183629162404, 278476900885283742983693257041372622522360739433109571633577527666, 2541666580858762355632817169553487453897710708679436440803679995168, 23206454124445160446734439248170234517658871785950558266674588660585, 211960608446622744519820549984222317516225763574872507503657990590242, 1936659370227735749662144266749183161235435318573782772391889255655922, 17701039534705798259845883799301393324045168824602266392120884102878242, 161840665839042983929427344789059221302325229385083653778033175409304448, 1480184889626502380444447882740777363819895477326163158138833300000096270, 13541910189538690752170864118391968355980682958430388725014930439826540425, 123929848887679961090748736519797307755782745383333548371512601195185597428, 1134489432250490608549787001070370113973065730615853663492000227922389963302, 10388436321044086669393682207509482768821400728596712560488271216482709225098, 95152866755807202490352585771321868180842208404895464232536554142537193890053, 871791110580189763004976912164309893917576568230951561968603308465148461976518, 7989486547447278332568361829120770692127208178376033145122913522544946736625294, 73238307142326454995350938449328113392559402729940766527330279454396079378831474, 671533901312412487186340294973115345524422264955021992076530004604163028482244477, 6158928000762935608990951575541941220981898262997406581025626393699167942467342066, 56499846639945259171998926789190545698840124495286079921701073145241801523820561085, 518432089077254243485836694031261836418544323409706310651399440876041507352361828130, 4758132570750615185525629637057512013375231410206574524210676924649954794268071843278, 43679628289878427167404383236107311565099472297795400604538885121286650092814776316556, 401066895253510071676733023245695157398499700071997360117540861194101716618634152128393, 3683392619237727601359646103585027463087890961299643085427068407252026408046302486397458, 33835330817486295108339750707737327833016309881608153203408682394109995565616062291198600, 310872299824085035898650098871479532581882280253883682097780388287823044872398960064104804, 2856806635286817395500653257312371490546093951761497054831204016958365402778831198888399502, 26258201983937439806709164024399184845125319780663407662619376548021852760741291498146712356
Specification 1
Strategy pack name: all_the_strategies_2_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25895/
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,1]
F[4,x,k[0]] = F[5,x]*F[6,x,k[0]]
F[5,x] = x
F[6,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[7,x,k[0]] = F[8,x,k[0]]
F[8,x,k[0]] = F[14,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[12,x,k[0]]+F[6,x,k[0]]
F[10,x,k[0]] = 1/(-1+k[0])*(F[11,x,k[0]]*k[0]-F[11,x,1])
F[11,x,k[0]] = F[5,x]*F[9,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],1]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[0]*k[1]]
F[18,x,k[0],k[1]] = F[14,x,k[1]]*F[17,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]
F[19,x,k[0],k[1]] = F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = k[1]*F[21,x,k[0],k[1]]
F[21,x,k[0],k[1]] = F[22,x]+F[23,x,k[0],k[1]]+F[25,x,k[0],k[1]]+F[28,x,k[1],k[0]]+F[30,x,k[0],k[1]]
F[22,x] = 0
F[23,x,k[0],k[1]] = 1/(-1+k[0])*(F[24,x,k[0],k[1]]*k[0]-F[24,x,1,k[1]])
F[24,x,k[0],k[1]] = F[21,x,k[0],k[1]]*F[5,x]
F[25,x,k[0],k[1]] = (F[26,x,k[0],1]*k[0]-F[26,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[26,x,k[0],k[1]] = F[14,x,k[0]]*F[27,x,k[0],k[1]]
F[27,x,k[0],k[1]] = F[21,x,k[0],k[0]*k[1]]
F[28,x,k[0],k[1]] = F[29,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[14,x,k[0]]*F[21,x,k[1],k[0]]
F[30,x,k[0],k[1]] = F[31,x,k[0],k[1]]*F[5,x]
F[32,x,k[0],k[1]] = F[31,x,k[0],k[1]]+F[33,x,k[0],k[1]]
F[32,x,k[0],k[1]] = (F[6,x,k[0]]*k[0]-F[6,x,k[1]]*k[1])/(-k[1]+k[0])
F[33,x,k[0],k[1]] = F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = (-F[35,x,1,k[1]]*k[1]+F[35,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[35,x,k[0],k[1]] = F[36,x,k[0]*k[1],k[1]]
F[36,x,k[0],k[1]] = k[1]*F[37,x,k[0],k[1]]
F[37,x,k[0],k[1]] = F[38,x,k[1],k[0]]
F[38,x,k[0],k[1]] = F[39,x,k[0],k[1]]*F[5,x]
F[39,x,k[0],k[1]] = F[22,x]+F[40,x,k[0],k[1]]+F[42,x,k[0],k[1]]+F[65,x,k[0],k[1]]
F[40,x,k[0],k[1]] = 1/(-1+k[1])*(F[41,x,k[0],k[1]]*k[1]-F[41,x,k[0],1])
F[41,x,k[0],k[1]] = F[39,x,k[0],k[1]]*F[5,x]
F[42,x,k[0],k[1]] = F[14,x,k[1]]*F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = k[0]*F[44,x,k[1]]
F[45,x,k[0]] = F[14,x,k[0]]*F[44,x,k[0]]
F[46,x,k[0]] = F[22,x]+F[45,x,k[0]]+F[62,x,k[0]]+F[64,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]*F[5,x]
F[48,x,k[0]] = F[49,x,k[0]]+F[51,x,k[0]]+F[9,x,k[0]]
F[49,x,k[0]] = 1/(-1+k[0])*(F[50,x,k[0]]*k[0]-F[50,x,1])
F[50,x,k[0]] = F[48,x,k[0]]*F[5,x]
F[51,x,k[0]] = F[52,x,k[0]]
F[52,x,k[0]] = F[14,x,k[0]]*F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0],1]
F[55,x,k[0],k[1]] = F[14,x,k[1]]*F[54,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[55,x,k[0],k[1]]+F[56,x,k[0],k[1]]
F[16,x,k[0],k[1]] = F[56,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[57,x,k[0],k[1]] = F[58,x,k[0],k[0]*k[1]]
F[59,x,k[0],k[1]] = F[14,x,k[1]]*F[58,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[60,x,k[0],k[1]]
F[61,x,k[0],k[1]] = F[31,x,k[0],k[1]]+F[60,x,k[0],k[1]]
F[61,x,k[0],k[1]] = F[19,x,k[0],k[1]]+F[6,x,k[0]]
F[62,x,k[0]] = 1/(-1+k[0])*(F[63,x,k[0]]*k[0]-F[63,x,1])
F[63,x,k[0]] = F[46,x,k[0]]*F[5,x]
F[64,x,k[0]] = F[5,x]*F[9,x,k[0]]
F[65,x,k[0],k[1]] = F[66,x,k[0]]*F[68,x,k[0],k[1]]
F[66,x,k[0]] = F[67,x,k[0]]
F[67,x,k[0]] = k[0]*x
F[69,x,k[0],k[1]] = F[14,x,k[1]]*F[68,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[70,x,k[1],k[0]]
F[71,x,k[0],k[1]] = F[70,x,k[0],k[0]*k[1]]
F[72,x,k[0],k[1]] = F[71,x,k[0],k[1]]+F[73,x,k[0]*k[1]]
F[72,x,k[0],k[1]] = F[31,x,k[0],k[0]*k[1]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[1,x]+F[75,x,k[0]]+F[78,x,k[0]]
F[75,x,k[0]] = F[5,x]*F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[31,x,1,k[0]]
F[78,x,k[0]] = F[66,x,k[0]]*F[74,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 , 1\right)
F_{4}\! \left(x , y\right) = F_{5}\! \left(x \right) F_{6}\! \left(x , y\right)
F_{5}\! \left(x \right) = x
F_{6}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{12}\! \left(x , y\right)+F_{6}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = -\frac{-F_{11}\! \left(x , y\right) y +F_{11}\! \left(x , 1\right)}{-1+y}
F_{11}\! \left(x , y\right) = F_{5}\! \left(x \right) F_{9}\! \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 , 1\right)
F_{16}\! \left(x , y , z\right) = F_{17}\! \left(x , y , y z \right)
F_{18}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{17}\! \left(x , y , z\right)
F_{18}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right)
F_{19}\! \left(x , y , z\right) = F_{20}\! \left(x , y , z\right)
F_{20}\! \left(x , y , z\right) = z F_{21}\! \left(x , y , z\right)
F_{21}\! \left(x , y , z\right) = F_{22}\! \left(x \right)+F_{23}\! \left(x , y , z\right)+F_{25}\! \left(x , y , z\right)+F_{28}\! \left(x , z , y\right)+F_{30}\! \left(x , y , z\right)
F_{22}\! \left(x \right) = 0
F_{23}\! \left(x , y , z\right) = -\frac{-F_{24}\! \left(x , y , z\right) y +F_{24}\! \left(x , 1, z\right)}{-1+y}
F_{24}\! \left(x , y , z\right) = F_{21}\! \left(x , y , z\right) F_{5}\! \left(x \right)
F_{25}\! \left(x , y , z\right) = \frac{F_{26}\! \left(x , y , 1\right) y -F_{26}\! \left(x , y , \frac{z}{y}\right) z}{-z +y}
F_{26}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{27}\! \left(x , y , z\right)
F_{27}\! \left(x , y , z\right) = F_{21}\! \left(x , y , y z \right)
F_{28}\! \left(x , y , z\right) = F_{29}\! \left(x , y , z\right)
F_{29}\! \left(x , y , z\right) = F_{14}\! \left(x , y\right) F_{21}\! \left(x , z , y\right)
F_{30}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right) F_{5}\! \left(x \right)
F_{32}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right)+F_{33}\! \left(x , y , z\right)
F_{32}\! \left(x , y , z\right) = \frac{F_{6}\! \left(x , y\right) y -F_{6}\! \left(x , z\right) z}{-z +y}
F_{33}\! \left(x , y , z\right) = F_{34}\! \left(x , y , z\right)
F_{34}\! \left(x , y , z\right) = -\frac{F_{35}\! \left(x , 1, z\right) z -y F_{35}\! \left(x , \frac{y}{z}, z\right)}{-z +y}
F_{35}\! \left(x , y , z\right) = F_{36}\! \left(x , y z , z\right)
F_{36}\! \left(x , y , z\right) = z F_{37}\! \left(x , y , z\right)
F_{37}\! \left(x , y , z\right) = F_{38}\! \left(x , z , y\right)
F_{38}\! \left(x , y , z\right) = F_{39}\! \left(x , y , z\right) F_{5}\! \left(x \right)
F_{39}\! \left(x , y , z\right) = F_{22}\! \left(x \right)+F_{40}\! \left(x , y , z\right)+F_{42}\! \left(x , y , z\right)+F_{65}\! \left(x , y , z\right)
F_{40}\! \left(x , y , z\right) = -\frac{-F_{41}\! \left(x , y , z\right) z +F_{41}\! \left(x , y , 1\right)}{-1+z}
F_{41}\! \left(x , y , z\right) = F_{39}\! \left(x , y , z\right) F_{5}\! \left(x \right)
F_{42}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{43}\! \left(x , y , z\right)
F_{43}\! \left(x , y , z\right) = y F_{44}\! \left(x , z\right)
F_{45}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{44}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{22}\! \left(x \right)+F_{45}\! \left(x , y\right)+F_{62}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)+F_{51}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = -\frac{-F_{50}\! \left(x , y\right) y +F_{50}\! \left(x , 1\right)}{-1+y}
F_{50}\! \left(x , y\right) = F_{48}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y , 1\right)
F_{55}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{54}\! \left(x , y , z\right)
F_{16}\! \left(x , y , z\right) = F_{55}\! \left(x , y , z\right)+F_{56}\! \left(x , y , z\right)
F_{16}\! \left(x , y , z\right) = F_{56}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{57}\! \left(x , y , z\right) = F_{58}\! \left(x , y , y z \right)
F_{59}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{58}\! \left(x , y , z\right)
F_{59}\! \left(x , y , z\right) = F_{60}\! \left(x , y , z\right)
F_{61}\! \left(x , y , z\right) = F_{31}\! \left(x , y , z\right)+F_{60}\! \left(x , y , z\right)
F_{61}\! \left(x , y , z\right) = F_{19}\! \left(x , y , z\right)+F_{6}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = -\frac{-y F_{63}\! \left(x , y\right)+F_{63}\! \left(x , 1\right)}{-1+y}
F_{63}\! \left(x , y\right) = F_{46}\! \left(x , y\right) F_{5}\! \left(x \right)
F_{64}\! \left(x , y\right) = F_{5}\! \left(x \right) F_{9}\! \left(x , y\right)
F_{65}\! \left(x , y , z\right) = F_{66}\! \left(x , y\right) F_{68}\! \left(x , y , z\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = y x
F_{69}\! \left(x , y , z\right) = F_{14}\! \left(x , z\right) F_{68}\! \left(x , y , z\right)
F_{69}\! \left(x , y , z\right) = F_{70}\! \left(x , z , y\right)
F_{71}\! \left(x , y , z\right) = F_{70}\! \left(x , y , y z \right)
F_{72}\! \left(x , y , z\right) = F_{71}\! \left(x , y , z\right)+F_{73}\! \left(x , y z \right)
F_{72}\! \left(x , y , z\right) = F_{31}\! \left(x , y , y z \right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y\right)+F_{78}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{5}\! \left(x \right) F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{31}\! \left(x , 1, y\right)
F_{78}\! \left(x , y\right) = F_{66}\! \left(x , y\right) F_{74}\! \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, 1))
Eq(F_4(x, k_0), F_5(x)*F_6(x, k_0))
Eq(F_5(x), x)
Eq(F_6(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_7(x, k_0), F_8(x, k_0))
Eq(F_8(x, k_0), F_14(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_12(x, k_0) + F_6(x, k_0))
Eq(F_10(x, k_0), (k_0*F_11(x, k_0) - F_11(x, 1))/(k_0 - 1))
Eq(F_11(x, k_0), F_5(x)*F_9(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, 1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_0*k_1))
Eq(F_18(x, k_0, k_1), F_14(x, k_1)*F_17(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), k_1*F_21(x, k_0, k_1))
Eq(F_21(x, k_0, k_1), F_22(x) + F_23(x, k_0, k_1) + F_25(x, k_0, k_1) + F_28(x, k_1, k_0) + F_30(x, k_0, k_1))
Eq(F_22(x), 0)
Eq(F_23(x, k_0, k_1), (k_0*F_24(x, k_0, k_1) - F_24(x, 1, k_1))/(k_0 - 1))
Eq(F_24(x, k_0, k_1), F_21(x, k_0, k_1)*F_5(x))
Eq(F_25(x, k_0, k_1), (-k_0*F_26(x, k_0, 1) + k_1*F_26(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_26(x, k_0, k_1), F_14(x, k_0)*F_27(x, k_0, k_1))
Eq(F_27(x, k_0, k_1), F_21(x, k_0, k_0*k_1))
Eq(F_28(x, k_0, k_1), F_29(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_14(x, k_0)*F_21(x, k_1, k_0))
Eq(F_30(x, k_0, k_1), F_31(x, k_0, k_1)*F_5(x))
Eq(F_32(x, k_0, k_1), F_31(x, k_0, k_1) + F_33(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), (-k_0*F_6(x, k_0) + k_1*F_6(x, k_1))/(-k_0 + k_1))
Eq(F_33(x, k_0, k_1), F_34(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), (-k_0*F_35(x, k_0/k_1, k_1) + k_1*F_35(x, 1, k_1))/(-k_0 + k_1))
Eq(F_35(x, k_0, k_1), F_36(x, k_0*k_1, k_1))
Eq(F_36(x, k_0, k_1), k_1*F_37(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), F_38(x, k_1, k_0))
Eq(F_38(x, k_0, k_1), F_39(x, k_0, k_1)*F_5(x))
Eq(F_39(x, k_0, k_1), F_22(x) + F_40(x, k_0, k_1) + F_42(x, k_0, k_1) + F_65(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), (k_1*F_41(x, k_0, k_1) - F_41(x, k_0, 1))/(k_1 - 1))
Eq(F_41(x, k_0, k_1), F_39(x, k_0, k_1)*F_5(x))
Eq(F_42(x, k_0, k_1), F_14(x, k_1)*F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), k_0*F_44(x, k_1))
Eq(F_45(x, k_0), F_14(x, k_0)*F_44(x, k_0))
Eq(F_46(x, k_0), F_22(x) + F_45(x, k_0) + F_62(x, k_0) + F_64(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0)*F_5(x))
Eq(F_48(x, k_0), F_49(x, k_0) + F_51(x, k_0) + F_9(x, k_0))
Eq(F_49(x, k_0), (k_0*F_50(x, k_0) - F_50(x, 1))/(k_0 - 1))
Eq(F_50(x, k_0), F_48(x, k_0)*F_5(x))
Eq(F_51(x, k_0), F_52(x, k_0))
Eq(F_52(x, k_0), F_14(x, k_0)*F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0, 1))
Eq(F_55(x, k_0, k_1), F_14(x, k_1)*F_54(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_55(x, k_0, k_1) + F_56(x, k_0, k_1))
Eq(F_16(x, k_0, k_1), F_56(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_57(x, k_0, k_1), F_58(x, k_0, k_0*k_1))
Eq(F_59(x, k_0, k_1), F_14(x, k_1)*F_58(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_60(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), F_31(x, k_0, k_1) + F_60(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), F_19(x, k_0, k_1) + F_6(x, k_0))
Eq(F_62(x, k_0), (k_0*F_63(x, k_0) - F_63(x, 1))/(k_0 - 1))
Eq(F_63(x, k_0), F_46(x, k_0)*F_5(x))
Eq(F_64(x, k_0), F_5(x)*F_9(x, k_0))
Eq(F_65(x, k_0, k_1), F_66(x, k_0)*F_68(x, k_0, k_1))
Eq(F_66(x, k_0), F_67(x, k_0))
Eq(F_67(x, k_0), k_0*x)
Eq(F_69(x, k_0, k_1), F_14(x, k_1)*F_68(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_70(x, k_1, k_0))
Eq(F_71(x, k_0, k_1), F_70(x, k_0, k_0*k_1))
Eq(F_72(x, k_0, k_1), F_71(x, k_0, k_1) + F_73(x, k_0*k_1))
Eq(F_72(x, k_0, k_1), F_31(x, k_0, k_0*k_1))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_1(x) + F_75(x, k_0) + F_78(x, k_0))
Eq(F_75(x, k_0), F_5(x)*F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_31(x, 1, k_0))
Eq(F_78(x, k_0), F_66(x, k_0)*F_74(x, k_0))
Pack JSON:
{"name": "all_the_strategies_2_tracked_fusion_tracked_component_fusion_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.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"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.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": "RequirementInsertionFactory", "ignore_parent": false, "maxreqlen": 2, "extra_basis": [], "limited_insertion": true, "allow_factorable_insertions": true}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "AllPlacementsFactory", "ignore_parent": false}]], "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, 1, 3, 2, 4], "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]]}], "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": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 2]]}, {"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, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {"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, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 2]]}, {"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, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {"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, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 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