03241_30241_32041_32401

Counting sequence:
1, 1, 2, 6, 24, 116, 634, 3766, 23742, 156498, 1067910, 7491666, 53758908, 393106896, 2920778054, 22000080394, 167685766552, 1291431364932, 10037375607958, 78650508590242, 620788801635416, 4932094448342700, 39417889153373694, 316734965950630194, 2557619903874657726, 20746050221166950970, 168980929510016797002, 1381669869781882683006, 11337363136473172800468, 93336399938391115222272, 770766195363020830818378, 6383195633500638617554182, 53005065233952263825374158, 441252991028426083244510946, 3681993091703924109406625574, 30792366371130069596831325810, 258055357283629645763650469688, 2166915250962606495862266173964, 18229879996045252221973788872622, 153636991558473739278568716887778, 1296995379477115425758276511615498, 10966681188647035274109087012035654, 92869335023627823364542612941775154, 787586691593427411127347248124531286, 6688428591825271576504436457138486564, 56875114137228282592485100819221553312, 484247637179285698869752468161132771090, 4127965133020119677808246641109223101278, 35229425830059011050414724008591911682188, 300992232079969912842079578182553066686352, 2574338233693848573546105594979966521675978, 22040331165017570486751557254785460420262142, 188884138211152949079564552107038591302219288, 1620247650625904597802789477622508507507150724, 13911067144345849228446701435074342754636025346, 119541329159023737908693477017290032796279122254, 1028112278884602304979026409759029414237061772626, 8849420357707307480507417872113686404530929924694, 76230467564881652171941539397475187963482094914838, 657158492852723519244195538925518580491170624719522, 5669285744786850155581330366529239510243418493173980, 48943238456442585058335265199518335201601808168007664, 422817701934623623772103408450617981145344807067650742, 3655107719212678394351591927201150922842750121772887546, 31617291942663742635515307224752066597388949482449015704, 273664184768906638262828376353364687621506706096406332804, 2370127989407298744562833138279226506714660582202737423462, 20538952282326875066744244428866489230427843990036740967602, 178086044683144671047512006314055998391090644315819209800968, 1544967692386537727089874346710145400802681700916922391898332, 13410344555547293384817398445617911052307177220236105727373646, 116462174707048518426984168624671230062507851815928513648771010, 1011924152800646281440296121999698751404540632161215848926286794, 8796766846021366887121182305105576338802320288495898431525752774, 76507577054825091643660126910063119750442741086247498226618524946, 665712163874707876119582114417689671852500751139066244711070647798, 5795139115215202373849324746953103497241828140179707722375553007220, 50469782356925314006636115178712184363053036002621410717827261834032, 439728134921092816364634450382762008498788317051295030111450017685586, 3832812590375155920576116815080254802067070832297080575055295289649694, 33421570757244814931594626260062379955471525625088796801107901735320216, 291546395283733369297958936234500957675585418486122818213211809054807324, 2544226714428439472555474860091422046608873982431932934399325255037791586, 22210952114060287975643115955456630662023116416197726615135430276424190022, 193971465670367096191911751545139800553093531511086007569342710848360623368, 1694587632894173733408318569608020502112435352238113568836713211206446400580, 14809557236630542602649612332729172811525418743797178307940785575531569302426, 129469790084864474707164833869770829414013881150082387266180431197618618604918, 1132243230459876760877028353378225612527218055899464628903792080056981026426378, 9904958257653325380123172649029479647016870825458107653263535522806930649276222, 86677028395671759939095442279646946176274300955453276331019796957410490382085022, 758736103992182374980436171947328371325284495073341442866700330995638328801079866, 6643698045088925811872586627898150060076722673365952623536620289556630420866144636, 58191364842387096528438958426833764564883098949040767593385352279770224052281512704, 509840040263577070805064153390580469903510319479365369346052652168530260183562134046, 4468207977753148574094246679856456491037219058717915062109765260418556418730695430738, 39170061467116445197917699853888504374650383112883699061775029094186180912525170270830, 343474129542864847632594072186837150831675515459044935610310312377797365198637373184682, 3012660996772778004398131167282238234742045617751676555197770625964286715726196635135802, 26431424989869400704194210125704528070003650976214220181713020088818840936686465691174958, 231954427523681577357165034388259055976897860029262453680215453216488384474559567129690568

Specification 1
Strategy pack name: partial_point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24435/
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[12,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[6,x,k[0]]+F[7,x,k[0]]
F[6,x,k[0]] = (x*k[0]+1)^3*F[6,x,k[0]]^2+(8*x^2*k[0]^2-20*x*k[0])*F[6,x,k[0]]+16*k[0]*x
F[7,x,k[0]] = F[8,x,k[0]]
F[8,x,k[0]] = F[13,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[5,x,k[0]]*k[0]-F[5,x,1])
F[12,x] = x
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = k[0]*F[15,x,k[0]]
F[15,x,k[0]] = F[16,x,k[0]]
F[16,x,k[0]] = F[12,x]*F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,1,k[0]]
F[18,x,k[0],k[1]] = -k[0]*(F[19,x,1,k[1]]-F[19,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
F[19,x,k[0],k[1]] = F[20,x,k[0]*k[1],k[1]]
F[20,x,k[0],k[1]] = F[21,x,k[0]]+F[25,x,k[0],k[1]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[24,x,k[0]]^2*F[23,x,k[0]]
F[23,x,k[0]] = k[0]*x
F[24,x,k[0]] = F[1,x]+F[21,x,k[0]]
F[25,x,k[0],k[1]] = F[26,x,k[0],k[1]]
F[26,x,k[0],k[1]] = F[27,x,k[0],k[1]]+F[59,x,k[0],k[1]]
F[27,x,k[0],k[1]] = k[0]*F[28,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[28,x,k[0],k[1]]+F[39,x,k[0]]
F[29,x,k[0],k[1]] = F[30,x,k[0],k[1]]
F[30,x,k[0],k[1]] = F[12,x]*F[31,x,k[0],k[1]]
F[31,x,k[0],k[1]] = F[32,x,k[0],1,k[1]]
F[32,x,k[0],k[1],k[2]] = F[33,x,k[0],k[0]*k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[34,x,k[1],k[2]]+F[35,x,k[0],k[1],k[2]]
F[34,x,k[0],k[1]] = F[20,x,k[0],k[1]]+F[6,x,k[1]]
F[35,x,k[0],k[1],k[2]] = F[36,x,k[0],k[1],k[2]]
F[36,x,k[0],k[1],k[2]] = k[0]*F[37,x,k[0],k[1],k[2]]
F[37,x,k[0],k[1],k[2]] = F[38,x,k[0],k[1],k[2]]+F[41,x,k[0],k[1],k[2]]
F[38,x,k[0],k[1],k[2]] = F[34,x,k[1],k[2]]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[24,x,k[0]]^2*F[12,x]
F[41,x,k[0],k[1],k[2]] = F[42,x,k[0],k[1],k[2]]
F[42,x,k[0],k[1],k[2]] = F[34,x,k[1],k[2]]*F[43,x,k[0],k[2]]
F[44,x,k[0],k[1]] = F[43,x,k[0],k[1]]*F[54,x,k[1]]
F[45,x,k[0],k[1]] = F[44,x,k[0],k[1]]+F[55,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[46,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[46,x,k[0],k[1]]+F[53,x,k[0],k[1]]
F[48,x,k[0],k[1]] = F[47,x,k[0],k[0]*k[1]]
F[48,x,k[0],k[1]] = F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[12,x]*F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = F[51,k[0]*x,k[1]]
F[52,x,k[0]] = F[12,x]*F[51,x,k[0]]
F[52,x,k[0]] = F[13,x,k[0]]
F[53,x,k[0],k[1]] = F[39,x,k[0]]*F[54,x,k[1]]
F[54,x,k[0]] = x^3*(1+F[54,x,k[0]])^2*k[0]^3+3*x^2*(1+F[54,x,k[0]])*(F[54,x,k[0]]+11/3)*k[0]^2+(3*x*F[54,x,k[0]]^2-14*x*F[54,x,k[0]]-x)*k[0]+F[54,x,k[0]]^2+2*F[54,x,k[0]]
F[56,x,k[0],k[1]] = F[55,x,k[0],k[1]]*F[6,x,k[1]]
F[45,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[54,x,k[1]]*F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[28,x,k[0],k[1]]
F[59,x,k[0],k[1]] = k[0]*F[47,x,k[0],k[1]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{6}\! \left(x , y_{0}\right)+F_{7}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = x^{3} F_{6}\! \left(x , y_{0}\right)^{2} y_{0}^{3}+3 x^{2} F_{6}\! \left(x , y_{0}\right)^{2} y_{0}^{2}+8 x^{2} F_{6}\! \left(x , y_{0}\right) y_{0}^{2}+3 x F_{6}\! \left(x , y_{0}\right)^{2} y_{0}-20 x F_{6}\! \left(x , y_{0}\right) y_{0}+16 y_{0} x +F_{6}\! \left(x , y_{0}\right)^{2}
F_{7}\! \left(x , y_{0}\right) = F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{5}\! \left(x , y_{0}\right)+F_{5}\! \left(x , 1\right)}{-1+y_{0}}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = y_{0} F_{15}\! \left(x , y_{0}\right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{17}\! \left(x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , 1, y_{0}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{19}\! \left(x , 1, y_{1}\right)-F_{19}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}\right)+F_{25}\! \left(x , y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)^{2} F_{23}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = y_{0} x
F_{24}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{21}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{26}\! \left(x , y_{0}, y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{27}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}, y_{1}\right)+F_{39}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{30}\! \left(x , y_{0}, y_{1}\right)
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{31}\! \left(x , y_{0}, y_{1}\right)
F_{31}\! \left(x , y_{0}, y_{1}\right) = F_{32}\! \left(x , y_{0}, 1, y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{33}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{34}\! \left(x , y_{1}, y_{2}\right)+F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{1}\right)+F_{6}\! \left(x , y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{41}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{34}\! \left(x , y_{1}, y_{2}\right) F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{40}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right)^{2} F_{12}\! \left(x \right)
F_{41}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{34}\! \left(x , y_{1}, y_{2}\right) F_{43}\! \left(x , y_{0}, y_{2}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{1}\right) F_{54}\! \left(x , y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{44}\! \left(x , y_{0}, y_{1}\right)+F_{55}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{46}\! \left(x , y_{0}, y_{1}\right)+F_{53}\! \left(x , y_{0}, y_{1}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{50}\! \left(x , y_{0}, y_{1}\right)
F_{50}\! \left(x , y_{0}, y_{1}\right) = F_{51}\! \left(y_{0} x , y_{1}\right)
F_{52}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{51}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}, y_{1}\right) = F_{39}\! \left(x , y_{0}\right) F_{54}\! \left(x , y_{1}\right)
F_{54}\! \left(x , y_{0}\right) = x^{3} F_{54}\! \left(x , y_{0}\right)^{2} y_{0}^{3}+2 x^{3} F_{54}\! \left(x , y_{0}\right) y_{0}^{3}+x^{3} y_{0}^{3}+3 x^{2} F_{54}\! \left(x , y_{0}\right)^{2} y_{0}^{2}+14 x^{2} F_{54}\! \left(x , y_{0}\right) y_{0}^{2}+11 x^{2} y_{0}^{2}+3 x F_{54}\! \left(x , y_{0}\right)^{2} y_{0}-14 x F_{54}\! \left(x , y_{0}\right) y_{0}-y_{0} x +F_{54}\! \left(x , y_{0}\right)^{2}+2 F_{54}\! \left(x , y_{0}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, y_{1}\right) F_{6}\! \left(x , y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{56}\! \left(x , y_{0}, y_{1}\right)+F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{57}\! \left(x , y_{0}, y_{1}\right) = F_{54}\! \left(x , y_{1}\right) F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{47}\! \left(x , y_{0}, y_{1}\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_6(x, k_0) + F_7(x, k_0))
Eq(F_6(x, k_0), 16*k_0*x + (k_0*x + 1)**3*F_6(x, k_0)**2 + (8*k_0**2*x**2 - 20*k_0*x)*F_6(x, k_0))
Eq(F_7(x, k_0), F_8(x, k_0))
Eq(F_8(x, k_0), F_13(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), (k_0*F_5(x, k_0) - F_5(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), k_0*F_15(x, k_0))
Eq(F_15(x, k_0), F_16(x, k_0))
Eq(F_16(x, k_0), F_12(x)*F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, 1, k_0))
Eq(F_18(x, k_0, k_1), -F_19(x, 1, k_1) + (-k_0*F_19(x, k_0/k_1, k_1) + k_1*F_19(x, 1, k_1))/(-k_0 + k_1))
Eq(F_19(x, k_0, k_1), F_20(x, k_0*k_1, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0) + F_25(x, k_0, k_1))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0)*F_24(x, k_0)**2)
Eq(F_23(x, k_0), k_0*x)
Eq(F_24(x, k_0), F_1(x) + F_21(x, k_0))
Eq(F_25(x, k_0, k_1), F_26(x, k_0, k_1))
Eq(F_26(x, k_0, k_1), F_27(x, k_0, k_1) + F_59(x, k_0, k_1))
Eq(F_27(x, k_0, k_1), k_0*F_28(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_28(x, k_0, k_1) + F_39(x, k_0))
Eq(F_29(x, k_0, k_1), F_30(x, k_0, k_1))
Eq(F_30(x, k_0, k_1), F_12(x)*F_31(x, k_0, k_1))
Eq(F_31(x, k_0, k_1), F_32(x, k_0, 1, k_1))
Eq(F_32(x, k_0, k_1, k_2), F_33(x, k_0, k_0*k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_34(x, k_1, k_2) + F_35(x, k_0, k_1, k_2))
Eq(F_34(x, k_0, k_1), F_20(x, k_0, k_1) + F_6(x, k_1))
Eq(F_35(x, k_0, k_1, k_2), F_36(x, k_0, k_1, k_2))
Eq(F_36(x, k_0, k_1, k_2), k_0*F_37(x, k_0, k_1, k_2))
Eq(F_37(x, k_0, k_1, k_2), F_38(x, k_0, k_1, k_2) + F_41(x, k_0, k_1, k_2))
Eq(F_38(x, k_0, k_1, k_2), F_34(x, k_1, k_2)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_12(x)*F_24(x, k_0)**2)
Eq(F_41(x, k_0, k_1, k_2), F_42(x, k_0, k_1, k_2))
Eq(F_42(x, k_0, k_1, k_2), F_34(x, k_1, k_2)*F_43(x, k_0, k_2))
Eq(F_44(x, k_0, k_1), F_43(x, k_0, k_1)*F_54(x, k_1))
Eq(F_45(x, k_0, k_1), F_44(x, k_0, k_1) + F_55(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_46(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_46(x, k_0, k_1) + F_53(x, k_0, k_1))
Eq(F_48(x, k_0, k_1), F_47(x, k_0, k_0*k_1))
Eq(F_48(x, k_0, k_1), F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_12(x)*F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), F_51(k_0*x, k_1))
Eq(F_52(x, k_0), F_12(x)*F_51(x, k_0))
Eq(F_52(x, k_0), F_13(x, k_0))
Eq(F_53(x, k_0, k_1), F_39(x, k_0)*F_54(x, k_1))
Eq(F_54(x, k_0), 16*k_0*x + (k_0*x + 1)**3*(F_54(x, k_0) + 1)**2 + (F_54(x, k_0) + 1)*(8*k_0**2*x**2 - 20*k_0*x - 1) + F_54(x, k_0))
Eq(F_56(x, k_0, k_1), F_55(x, k_0, k_1)*F_6(x, k_1))
Eq(F_45(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_54(x, k_1)*F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_28(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), k_0*F_47(x, k_0, k_1))
Pack JSON:
{"name": "partial_point_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": true, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": 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, 3, 2, 4, 1], "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, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 4, 0, 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, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [2, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [3, 2], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [2, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [3, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [3, 2], [3, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [2, 1], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 1], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [2, 1], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [2, 1], [2, 1], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[2, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}]}]}, {"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, 2], [2, 2], [3, 0], [3, 2]], [[1, 1]]]}}, "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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 1], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 1], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 1], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 2]]}]}}, "idx": 1}, {"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": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}]}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 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"comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1], [3, 2, 4, 0, 1]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [3, 0, 2, 4, 1], [3, 2, 0, 4, 1], [3, 2, 4, 0, 1]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}

Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24725/
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[29,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]+F[8,x,k[0]]
F[7,x,k[0]] = x^3*(1+F[7,x,k[0]])^2*k[0]^3+3*x^2*(1+F[7,x,k[0]])*(F[7,x,k[0]]+11/3)*k[0]^2+(3*x*F[7,x,k[0]]^2-14*x*F[7,x,k[0]]-x)*k[0]+F[7,x,k[0]]^2+2*F[7,x,k[0]]
F[8,x,k[0]] = F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[29,x]
F[10,x,k[0]] = F[11,x,k[0]]+F[12,x,k[0]]
F[11,x,k[0]] = -k[0]*(F[6,x,1]-F[6,x,k[0]])/(-1+k[0])
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]*F[35,x,k[0]]
F[15,x,k[0]] = F[14,x,k[0]]*F[29,x]
F[15,x,k[0]] = F[16,x,k[0]]
F[16,x,k[0]] = F[17,x,1,k[0]]
F[17,x,k[0],k[1]] = -k[0]*(F[18,x,1,k[1]]-F[18,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
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[35,x,k[1]]
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]+F[46,x,k[0],k[1]]
F[21,x,k[0],k[1]] = F[22,x,k[0]*k[1],k[1]]
F[22,x,k[0],k[1]] = F[23,x,1,k[0],k[1]]
F[23,x,k[0],k[1],k[2]] = (F[24,x,k[0],k[1],k[2]]*k[0]-F[24,x,1,k[1],k[2]])/(-1+k[0])
F[24,x,k[0],k[1],k[2]] = F[25,x,k[2]]+F[26,x,k[0],k[1],k[2]]
F[25,x,k[0]] = (x*k[0]+1)^3*F[25,x,k[0]]^2+(8*x^2*k[0]^2-20*x*k[0])*F[25,x,k[0]]+16*k[0]*x
F[26,x,k[0],k[1],k[2]] = F[27,x,k[0],k[1],k[2]]
F[27,x,k[0],k[1],k[2]] = k[0]*k[1]*F[28,x,k[0],k[1],k[2]]
F[28,x,k[0],k[1],k[2]] = F[29,x]*F[30,x,k[0],k[1],k[2]]
F[29,x] = x
F[30,x,k[0],k[1],k[2]] = F[31,x,k[0],k[1],k[2]]+F[36,x,k[0],k[1],k[2]]
F[31,x,k[0],k[1],k[2]] = F[24,x,k[0],k[1],k[2]]*F[32,x,k[1]]
F[32,x,k[0]] = F[1,x]+F[33,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[32,x,k[0]]^2*F[35,x,k[0]]
F[35,x,k[0]] = k[0]*x
F[36,x,k[0],k[1],k[2]] = F[37,x,k[0],k[1],k[2]]
F[37,x,k[0],k[1],k[2]] = F[24,x,k[0],k[1],k[2]]*F[35,x,k[2]]*F[38,x,k[1],k[2]]
F[39,x,k[0],k[1]] = F[35,x,k[1]]*F[38,x,k[0],k[1]]*F[45,x,k[0],k[1]]
F[39,x,k[0],k[1]] = F[40,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[40,x,k[0],k[1]]+F[44,x,k[0],k[1]]
F[42,x,k[0],k[1]] = F[35,x,k[0]]*F[41,x,k[0],k[1]]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[43,x,k[0]*k[1],k[1]]
F[44,x,k[0],k[1]] = F[32,x,k[0]]*F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[25,x,k[1]]+F[43,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = F[35,x,k[1]]*F[48,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[35,x,k[1]]*F[48,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = -k[0]*(F[18,x,1,k[1]]-F[18,x,k[0],k[1]])/(-1+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_{29}\! \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 , 1\right)
F_{6}\! \left(x , y_{0}\right) = F_{7}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = x^{3} F_{7}\! \left(x , y_{0}\right)^{2} y_{0}^{3}+2 x^{3} F_{7}\! \left(x , y_{0}\right) y_{0}^{3}+x^{3} y_{0}^{3}+3 x^{2} F_{7}\! \left(x , y_{0}\right)^{2} y_{0}^{2}+14 x^{2} F_{7}\! \left(x , y_{0}\right) y_{0}^{2}+11 y_{0}^{2} x^{2}+3 x F_{7}\! \left(x , y_{0}\right)^{2} y_{0}-14 x F_{7}\! \left(x , y_{0}\right) y_{0}-y_{0} x +F_{7}\! \left(x , y_{0}\right)^{2}+2 F_{7}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{29}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right)+F_{12}\! \left(x , y_{0}\right)
F_{11}\! \left(x , y_{0}\right) = -\frac{y_{0} \left(F_{6}\! \left(x , 1\right)-F_{6}\! \left(x , y_{0}\right)\right)}{-1+y_{0}}
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{35}\! \left(x , y_{0}\right)
F_{15}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{29}\! \left(x \right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{17}\! \left(x , 1, y_{0}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{18}\! \left(x , 1, y_{1}\right)-F_{18}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, y_{1}\right) F_{35}\! \left(x , y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right)+F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}, y_{1}\right) = F_{22}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , 1, y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-y_{0} F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{24}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{2}\right)+F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{25}\! \left(x , y_{0}\right) = x^{3} F_{25}\! \left(x , y_{0}\right)^{2} y_{0}^{3}+3 x^{2} F_{25}\! \left(x , y_{0}\right)^{2} y_{0}^{2}+8 x^{2} F_{25}\! \left(x , y_{0}\right) y_{0}^{2}+3 x F_{25}\! \left(x , y_{0}\right)^{2} y_{0}-20 x F_{25}\! \left(x , y_{0}\right) y_{0}+16 y_{0} x +F_{25}\! \left(x , y_{0}\right)^{2}
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} y_{1} F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{29}\! \left(x \right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{29}\! \left(x \right) = x
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{32}\! \left(x , y_{1}\right)
F_{32}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{33}\! \left(x , y_{0}\right)
F_{33}\! \left(x , y_{0}\right) = F_{34}\! \left(x , y_{0}\right)
F_{34}\! \left(x , y_{0}\right) = F_{32}\! \left(x , y_{0}\right)^{2} F_{35}\! \left(x , y_{0}\right)
F_{35}\! \left(x , y_{0}\right) = y_{0} x
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{35}\! \left(x , y_{2}\right) F_{38}\! \left(x , y_{1}, y_{2}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{1}\right) F_{38}\! \left(x , y_{0}, y_{1}\right) F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}\right) F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{32}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{25}\! \left(x , y_{1}\right)+F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{1}\right) F_{48}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{1}\right) F_{48}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{50}\! \left(x , y_{0}, y_{1}\right)
F_{50}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{18}\! \left(x , 1, y_{1}\right)-F_{18}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
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_29(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0) + F_8(x, k_0))
Eq(F_7(x, k_0), 16*k_0*x + (k_0*x + 1)**3*(F_7(x, k_0) + 1)**2 + (F_7(x, k_0) + 1)*(8*k_0**2*x**2 - 20*k_0*x - 1) + F_7(x, k_0))
Eq(F_8(x, k_0), F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_29(x))
Eq(F_10(x, k_0), F_11(x, k_0) + F_12(x, k_0))
Eq(F_11(x, k_0), -F_6(x, 1) + (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0)*F_35(x, k_0))
Eq(F_15(x, k_0), F_14(x, k_0)*F_29(x))
Eq(F_15(x, k_0), F_16(x, k_0))
Eq(F_16(x, k_0), F_17(x, 1, k_0))
Eq(F_17(x, k_0, k_1), -F_18(x, 1, k_1) + (-k_0*F_18(x, k_0/k_1, k_1) + k_1*F_18(x, 1, k_1))/(-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)*F_35(x, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1) + F_46(x, k_0, k_1))
Eq(F_21(x, k_0, k_1), F_22(x, k_0*k_1, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, 1, k_0, k_1))
Eq(F_23(x, k_0, k_1, k_2), (-k_0*F_24(x, k_0, k_1, k_2) + F_24(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_24(x, k_0, k_1, k_2), F_25(x, k_2) + F_26(x, k_0, k_1, k_2))
Eq(F_25(x, k_0), 16*k_0*x + (k_0*x + 1)**3*F_25(x, k_0)**2 + (8*k_0**2*x**2 - 20*k_0*x)*F_25(x, k_0))
Eq(F_26(x, k_0, k_1, k_2), F_27(x, k_0, k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2), k_0*k_1*F_28(x, k_0, k_1, k_2))
Eq(F_28(x, k_0, k_1, k_2), F_29(x)*F_30(x, k_0, k_1, k_2))
Eq(F_29(x), x)
Eq(F_30(x, k_0, k_1, k_2), F_31(x, k_0, k_1, k_2) + F_36(x, k_0, k_1, k_2))
Eq(F_31(x, k_0, k_1, k_2), F_24(x, k_0, k_1, k_2)*F_32(x, k_1))
Eq(F_32(x, k_0), F_1(x) + F_33(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_32(x, k_0)**2*F_35(x, k_0))
Eq(F_35(x, k_0), k_0*x)
Eq(F_36(x, k_0, k_1, k_2), F_37(x, k_0, k_1, k_2))
Eq(F_37(x, k_0, k_1, k_2), F_24(x, k_0, k_1, k_2)*F_35(x, k_2)*F_38(x, k_1, k_2))
Eq(F_39(x, k_0, k_1), F_35(x, k_1)*F_38(x, k_0, k_1)*F_45(x, k_0, k_1))
Eq(F_39(x, k_0, k_1), F_40(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_40(x, k_0, k_1) + F_44(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), F_35(x, k_0)*F_41(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_43(x, k_0*k_1, k_1))
Eq(F_44(x, k_0, k_1), F_32(x, k_0)*F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_25(x, k_1) + F_43(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), F_35(x, k_1)*F_48(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_35(x, k_1)*F_48(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), -F_18(x, 1, k_1) + (-k_0*F_18(x, k_0, k_1) + F_18(x, 1, k_1))/(1 - k_0))
Pack JSON:
{"name": "point_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}]], "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, 4, 1], "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, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 4, 0, 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": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionStrategy", "assumption": {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]}, "sub_assumption": {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}}}, "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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0], "pos": [[5, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [2, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [3, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 2], [2, 2], [3, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 2], [3, 2], [3, 2]]}, {"patt": [1, 0, 2], "pos": [[3, 2], [3, 2], [3, 2]]}, {"patt": [1, 0, 2], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [5, 2], [5, 0]]}, {"patt": [1, 2, 0], "pos": [[4, 0], [5, 2], [5, 0]]}, {"patt": [1, 2, 0], "pos": [[5, 0], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [2, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [3, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [5, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [2, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [3, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [3, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [5, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 2], [5, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [5, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [5, 2], [5, 2], [5, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[4, 0], [4, 0], [5, 0], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[4, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[5, 0], [5, 0], [5, 0], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[5, 2], [5, 2], [5, 2], [5, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[5, 2], [5, 2], [5, 2], [5, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0], "pos": [[5, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 2], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [4, 1], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [4, 1], [4, 0]]}, {"patt": [1, 2, 0], "pos": [[4, 0], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [1, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [2, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [2, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [2, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [2, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [2, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 1], [4, 1], [4, 1], [4, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 0], [3, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[4, 1], [4, 1], [4, 1], [4, 1]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[4, 1]]}]}]}, {"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, 2], [2, 2], [3, 2], [4, 0], [5, 0], [5, 2]], [[1, 1]]]}}, "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], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [3, 2], [3, 0]]}, {"patt": [1, 2, 0], "pos": [[3, 0], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [3, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [3, 2], [3, 2], [3, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 0], [2, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[2, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [3, 2], [3, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[3, 2], [3, 2], [3, 2], [3, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[3, 2]]}]}]}, "children": [{"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]]}]], 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