01342_03142_03412_03421_30142_30412_30421_34012_34021
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2762, 14198, 73842, 387820, 2054640, 10971550, 59009651, 319465794, 1739872602, 9527278470, 52428316878, 289811861916, 1608593714052, 8961924243432, 50100495150294, 280960090205940, 1580150437281540, 8910551182741596, 50370311659214516, 285383899561984016, 1620309588886466772, 9217567449319655050, 52532346646332437403, 299900600277207956674, 1714828561489866752762, 9820057225122334587462, 56314234364447057527062, 323368352647189407943852, 1859171005058262082868772, 10701722256095168169966112, 61669859271907235597776354, 355755623096081002768431356, 2054313191590778566097670444, 11873968275689087420729250900, 68694082037916595921207186428, 397757402118583225941694810824, 2305023286172098672366086050352, 13368240235561350323867430072060, 77588954211543605756315879449806, 450648704116425795014512202600628, 2619242244328142739858217602590628, 15233513608109374908814429470083484, 88654279918191723116645481177739020, 516254150069096777042722015848727320, 3008024022521585472570795291962492520, 17536511404544127578895174769244255280, 102291623858851110805881323939305149324, 596984746008746930944700986658530609704, 3485816161444544568289081948940217832968, 20363669468018835443087462158083086795736, 119017426172824254273405266943821913841080, 695922764948898740878164591732474103962264, 4070997917394967590123391274510514941746140, 23824498565282970913478549043772634922381282, 139483784436383257379252089286576471286039147, 816949181186758102218705757508746342063252674, 4786656919971161127778954758371345736957243450, 28056295409381583664218953763614792249152471110, 164506923646872146095193187880497630213444971238, 964915216763507488446014523613893990025364435148, 5661620405036716082225361053502940884065745056676, 33230330125787668730422613384291567556942973575216, 195104264928141768668349989980841715561274507846698, 1145864143424268540488596438436001714850565612627244, 6731781040384479261930248790838795896962743678472604, 39559764894483455328499101454904933916396245594093028, 232541688727609190489692640795341178000772980518790988, 1367313222350184950731295964641378969987158683848332680, 8041778024896421982574058191658214964402211948184840192, 47309673992233428345001802883783973211587196428164347940, 278393240272428736058750378503101845086759471278316223418, 1638609377032326801906902374984658916653584977185882019516, 9647115447813342504644904783810906484152826668434550214796, 56809658499629789246861036294674754427030382574500634012852, 334616239466357731385495119485808985280827800609743950976996, 1971376361665008153245175552810784824490742218486928704952776, 11616824292001948024813141774561199402012067712245991124524920, 68469692229096363551829932723038819332061474465535657872259056, 403645601184025499454970885926179380217932732873907427104663924, 2380076166665675465961111794963532856455648186936204412417998552, 14036803900071701798955731262380282362017963776578451322964786872, 82800009689266286089784935690610401871048053571054124883424582920, 488512204794432515392667331693127308627037308177355871155496107800, 2882713531064067244653776780724960634098951739260437387088973787968, 17014015110567640991634101384174545640044703249929517034373382377768, 100436063117947758665897001634697014568165324318159967217850500829156, 592991437205584818363145741662217010533655941462245658105702085324286, 3501720077411806177481976146709678345284915825644311509718612462628788, 20681742766849002916913502852746886563307220666743990537539922400561764, 122169846414088355382995168024188915450563007272428816009690118514209564, 721789646007167129315712216088452897255844268532951314642881179523902588, 4265064186315723194635048388926740298533499351012263017514461843308752888, 25206202490703325431082573382097715690202855689731399899585650655878107048, 148989224494354254498829932888882803354777470314740738748268093241502832512
Specification 1
Strategy pack name: row_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24776/
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[7,x]
F[3,x] = F[4,x,1]
F[4,x,k[0]] = F[1,x]+F[5,x,k[0]]+F[8,x,k[0]]
F[5,x,k[0]] = F[6,x,k[0]]*F[7,x]
F[6,x,k[0]] = 1/(-1+k[0])*(F[4,x,k[0]]*k[0]-F[4,x,1])
F[7,x] = x
F[8,x,k[0]] = F[24,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,1,k[0]]
F[10,x,k[0],k[1]] = (F[11,x,k[0]*k[1]]*k[0]-F[11,x,k[1]])/(-1+k[0])
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]+F[38,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[7,x]
F[13,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[32,x,k[0]]+F[35,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[7,x]
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = 1/(-1+k[0])*(F[17,x,k[0],k[1]]*k[0]-F[17,x,1,k[1]])
F[17,x,k[0],k[1]] = F[1,x]+F[18,x,k[0],k[1]]+F[20,x,k[0],k[1]]+F[25,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[7,x]
F[19,x,k[0],k[1]] = 1/(-1+k[0])*(F[17,x,k[0],k[1]]*k[0]-F[17,x,1,k[1]])
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]*F[24,x,k[0]]
F[21,x,k[0],k[1]] = F[22,x,1,k[0],k[1]]
F[22,x,k[0],k[1],k[2]] = (F[23,x,k[0]*k[1],k[2]]*k[0]-F[23,x,k[1],k[2]])/(-1+k[0])
F[23,x,k[0],k[1]] = (F[11,x,k[0]]*k[0]-F[11,x,k[1]]*k[1])/(-k[1]+k[0])
F[24,x,k[0]] = k[0]*x
F[25,x,k[0],k[1]] = F[24,x,k[1]]*F[26,x,k[0],k[1]]
F[26,x,k[0],k[1]] = 1/(-1+k[0])*(F[27,x,k[0],k[1]]*k[0]-F[27,x,1,k[1]])
F[27,x,k[0],k[1]] = (-F[28,x,1,k[1]]*k[1]+F[28,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[28,x,k[0],k[1]] = F[1,x]+F[29,x,k[0],k[1]]+F[30,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[24,x,k[1]]*F[28,x,k[0],k[1]]
F[30,x,k[0],k[1]] = F[24,x,k[1]]*F[31,x,k[0],k[1]]
F[31,x,k[0],k[1]] = F[27,x,k[0]*k[1],k[1]]
F[32,x,k[0]] = F[33,x,k[0]]*F[7,x]
F[33,x,k[0]] = F[34,x,1,k[0]]
F[34,x,k[0],k[1]] = (F[23,x,k[0],k[1]]*k[0]-F[23,x,1,k[1]])/(-1+k[0])
F[35,x,k[0]] = F[24,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,1,k[0]]
F[37,x,k[0],k[1]] = 1/(-1+k[0])*(F[27,x,k[0],k[1]]*k[0]-F[27,x,1,k[1]])
F[38,x,k[0]] = F[24,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[27,x,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_{7}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x , 1\right)
F_{4}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{5}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{5}\! \left(x , y_{0}\right) = F_{6}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{6}\! \left(x , y_{0}\right) = -\frac{-F_{4}\! \left(x , y_{0}\right) y_{0}+F_{4}\! \left(x , 1\right)}{-1+y_{0}}
F_{7}\! \left(x \right) = x
F_{8}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , 1, y_{0}\right)
F_{10}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{11}\! \left(x , y_{0} y_{1}\right) y_{0}+F_{11}\! \left(x , y_{1}\right)}{-1+y_{0}}
F_{11}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y_{0}\right)+F_{38}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y_{0}\right)+F_{32}\! \left(x , y_{0}\right)+F_{35}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{17}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{17}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{18}\! \left(x , y_{0}, y_{1}\right)+F_{20}\! \left(x , y_{0}, y_{1}\right)+F_{25}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{17}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{17}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right) F_{24}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}, y_{1}\right) = F_{22}\! \left(x , 1, y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{23}\! \left(x , y_{0} y_{1}, y_{2}\right) y_{0}+F_{23}\! \left(x , y_{1}, y_{2}\right)}{-1+y_{0}}
F_{23}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{11}\! \left(x , y_{0}\right) y_{0}-F_{11}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{24}\! \left(x , y_{0}\right) = y_{0} x
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{26}\! \left(x , y_{0}, y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{27}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{27}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{28}\! \left(x , 1, y_{1}\right) y_{1}-F_{28}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{30}\! \left(x , y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{31}\! \left(x , y_{0}, y_{1}\right)
F_{31}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{32}\! \left(x , y_{0}\right) = F_{33}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{33}\! \left(x , y_{0}\right) = F_{34}\! \left(x , 1, y_{0}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{23}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{23}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{0}\right)
F_{36}\! \left(x , y_{0}\right) = F_{37}\! \left(x , 1, y_{0}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{27}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{38}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{27}\! \left(x , 1, y_{0}\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)*F_7(x))
Eq(F_3(x), F_4(x, 1))
Eq(F_4(x, k_0), F_1(x) + F_5(x, k_0) + F_8(x, k_0))
Eq(F_5(x, k_0), F_6(x, k_0)*F_7(x))
Eq(F_6(x, k_0), (k_0*F_4(x, k_0) - F_4(x, 1))/(k_0 - 1))
Eq(F_7(x), x)
Eq(F_8(x, k_0), F_24(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, 1, k_0))
Eq(F_10(x, k_0, k_1), (-k_0*k_1*F_11(x, k_0*k_1) + k_1*F_11(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0) + F_38(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_7(x))
Eq(F_13(x, k_0), F_1(x) + F_14(x, k_0) + F_32(x, k_0) + F_35(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_7(x))
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), (-k_0*F_17(x, k_0, k_1) + F_17(x, 1, k_1))/(1 - k_0))
Eq(F_17(x, k_0, k_1), F_1(x) + F_18(x, k_0, k_1) + F_20(x, k_0, k_1) + F_25(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1)*F_7(x))
Eq(F_19(x, k_0, k_1), (k_0*F_17(x, k_0, k_1) - F_17(x, 1, k_1))/(k_0 - 1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1)*F_24(x, k_0))
Eq(F_21(x, k_0, k_1), F_22(x, 1, k_0, k_1))
Eq(F_22(x, k_0, k_1, k_2), (-k_0*k_1*F_23(x, k_0*k_1, k_2) + k_1*F_23(x, k_1, k_2))/(-k_0*k_1 + k_1))
Eq(F_23(x, k_0, k_1), (-k_0*F_11(x, k_0) + k_1*F_11(x, k_1))/(-k_0 + k_1))
Eq(F_24(x, k_0), k_0*x)
Eq(F_25(x, k_0, k_1), F_24(x, k_1)*F_26(x, k_0, k_1))
Eq(F_26(x, k_0, k_1), (k_0*F_27(x, k_0, k_1) - F_27(x, 1, k_1))/(k_0 - 1))
Eq(F_27(x, k_0, k_1), (-k_0*F_28(x, k_0/k_1, k_1) + k_1*F_28(x, 1, k_1))/(-k_0 + k_1))
Eq(F_28(x, k_0, k_1), F_1(x) + F_29(x, k_0, k_1) + F_30(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_24(x, k_1)*F_28(x, k_0, k_1))
Eq(F_30(x, k_0, k_1), F_24(x, k_1)*F_31(x, k_0, k_1))
Eq(F_31(x, k_0, k_1), F_27(x, k_0*k_1, k_1))
Eq(F_32(x, k_0), F_33(x, k_0)*F_7(x))
Eq(F_33(x, k_0), F_34(x, 1, k_0))
Eq(F_34(x, k_0, k_1), (-k_0*F_23(x, k_0, k_1) + F_23(x, 1, k_1))/(1 - k_0))
Eq(F_35(x, k_0), F_24(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, 1, k_0))
Eq(F_37(x, k_0, k_1), (-k_0*F_27(x, k_0, k_1) + F_27(x, 1, k_1))/(1 - k_0))
Eq(F_38(x, k_0), F_24(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_27(x, 1, k_0))
Pack JSON:
{"name": "row_placements_tracked_fusion", "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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": 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}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "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, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "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]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 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": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 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0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 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], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 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], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25131/
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[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[13,x]*F[7,x]
F[7,x] = F[390,x]+F[8,x]
F[8,x] = F[388,x]+F[9,x]
F[9,x] = F[10,x]+F[24,x]
F[10,x] = F[1,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[14,x]
F[13,x] = x
F[14,x] = F[15,x]+F[16,x]
F[15,x] = F[1,x]+F[13,x]
F[16,x] = F[11,x]+F[17,x]
F[17,x] = F[18,x]+F[19,x]+F[23,x]
F[18,x] = 0
F[19,x] = F[13,x]*F[20,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[13,x]
F[22,x] = F[17,x]
F[23,x] = F[11,x]*F[13,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = (-1+4*x)*F[25,x]^2+F[25,x]+x^2
F[26,x] = F[27,x]
F[27,x] = F[13,x]*F[28,x]
F[28,x] = F[29,x]+F[347,x]
F[29,x] = F[24,x]+F[30,x]
F[30,x] = -F[345,x]+F[31,x]
F[31,x] = -F[343,x]+F[32,x]
F[32,x] = F[33,x]
F[33,x] = F[339,x]+F[34,x]
F[34,x] = F[11,x]+F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[13,x]*F[37,x]
F[37,x] = F[38,x]+F[42,x]
F[38,x] = F[34,x]*F[39,x]
F[39,x] = F[1,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[39,x]^2*F[13,x]
F[42,x] = F[233,x]+F[43,x]
F[43,x] = F[44,x]+F[45,x]
F[44,x] = F[11,x]*F[39,x]
F[45,x] = F[46,x]+F[63,x]
F[46,x] = F[18,x]+F[47,x]+F[53,x]
F[47,x] = F[13,x]*F[48,x]
F[48,x] = F[49,x]+F[50,x]
F[49,x] = F[13,x]
F[50,x] = F[51,x]
F[51,x] = F[18,x]+F[47,x]+F[52,x]
F[52,x] = F[11,x]*F[13,x]
F[53,x] = F[13,x]*F[54,x]
F[54,x] = F[55,x]+F[56,x]
F[55,x] = F[11,x]+F[51,x]
F[56,x] = F[46,x]+F[57,x]
F[57,x] = F[18,x]+F[58,x]+F[59,x]+F[62,x]
F[58,x] = 0
F[59,x] = F[13,x]*F[60,x]
F[60,x] = F[50,x]+F[61,x]
F[61,x] = F[57,x]
F[62,x] = F[13,x]*F[46,x]
F[63,x] = F[64,x]
F[64,x] = F[13,x]*F[65,x]*F[70,x]
F[65,x] = F[66,x]+F[69,x]
F[66,x] = F[67,x]
F[67,x] = F[13,x]*F[68,x]
F[68,x] = F[1,x]+F[66,x]
F[69,x] = F[11,x]*F[68,x]
F[70,x] = F[71,x]+F[73,x]
F[71,x] = F[68,x]*F[72,x]
F[72,x] = F[35,x]+F[40,x]
F[73,x] = -F[231,x]+F[74,x]
F[74,x] = 1/F[13,x]/F[92,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = F[0,x]*F[34,x]
F[78,x] = F[79,x]
F[79,x] = -F[188,x]+F[80,x]
F[80,x] = -F[85,x]+F[81,x]
F[81,x] = 1/F[13,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[2,x]+F[84,x]
F[84,x] = -F[0,x]+F[4,x]
F[85,x] = F[185,x]+F[86,x]
F[86,x] = F[25,x]+F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[13,x]*F[89,x]
F[89,x] = F[85,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[13,x]*F[182,x]*F[92,x]
F[92,x] = 1/F[10,x]/F[13,x]/F[68,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = -F[95,x]+F[81,x]
F[95,x] = F[96,x]
F[96,x] = F[13,x]*F[97,x]
F[97,x] = F[180,x]+F[98,x]
F[98,x] = 1/F[13,x]*F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[13,x]
F[102,x] = 1/F[13,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]+F[175,x]
F[105,x] = -F[112,x]+F[106,x]
F[106,x] = F[107,x]+F[9,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[13,x]
F[109,x] = F[110,x]+F[7,x]
F[110,x] = F[111,x]
F[111,x] = F[13,x]*F[68,x]*F[74,x]
F[112,x] = F[0,x]+F[113,x]
F[113,x] = F[114,x]
F[114,x] = F[10,x]*F[115,x]*F[13,x]*F[68,x]
F[115,x] = F[116,x]+F[68,x]
F[116,x] = F[117,x]
F[117,x] = F[118,x]+F[2,x]
F[118,x] = F[119,x]
F[119,x] = F[120,x]*F[13,x]
F[120,x] = F[121,x]+F[126,x]
F[121,x] = F[122,x]+F[123,x]
F[122,x] = F[39,x]*F[66,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[120,x]*F[13,x]*F[39,x]
F[126,x] = F[127,x]+F[138,x]
F[127,x] = F[128,x]+F[130,x]
F[128,x] = F[129,x]+F[66,x]
F[129,x] = F[118,x]
F[130,x] = F[131,x]*F[66,x]
F[131,x] = F[132,x]+F[66,x]
F[132,x] = F[133,x]
F[133,x] = F[13,x]*F[134,x]
F[134,x] = F[135,x]+F[136,x]
F[135,x] = F[131,x]*F[39,x]
F[136,x] = F[131,x]*F[137,x]
F[137,x] = F[131,x]+F[39,x]
F[138,x] = F[139,x]
F[139,x] = -F[155,x]+F[140,x]
F[140,x] = F[141,x]+F[172,x]
F[141,x] = -F[170,x]+F[142,x]
F[142,x] = 1/F[13,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = -F[2,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[13,x]*F[147,x]
F[147,x] = F[148,x]+F[161,x]
F[148,x] = F[149,x]+F[155,x]
F[149,x] = F[0,x]+F[150,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[2,x]*F[68,x]
F[152,x] = F[153,x]*F[66,x]
F[153,x] = F[154,x]
F[154,x] = F[13,x]*F[39,x]*F[40,x]*F[68,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[144,x]+F[2,x]
F[157,x] = -F[150,x]+F[158,x]
F[158,x] = -F[161,x]+F[159,x]
F[159,x] = 1/F[13,x]*F[160,x]
F[160,x] = F[83,x]
F[161,x] = F[162,x]
F[162,x] = -F[168,x]+F[163,x]
F[163,x] = 1/F[10,x]/F[13,x]/F[68,x]*F[164,x]
F[164,x] = F[165,x]
F[165,x] = -F[104,x]+F[166,x]
F[166,x] = 1/F[13,x]*F[167,x]
F[167,x] = F[83,x]
F[168,x] = F[115,x]+F[169,x]
F[169,x] = F[137,x]*F[66,x]
F[170,x] = F[171,x]+F[172,x]
F[171,x] = F[124,x]+F[150,x]
F[172,x] = F[157,x]+F[173,x]
F[173,x] = F[174,x]
F[174,x] = F[120,x]*F[13,x]*F[131,x]
F[175,x] = F[176,x]+F[177,x]
F[176,x] = F[40,x]*F[5,x]
F[177,x] = F[178,x]
F[178,x] = F[13,x]*F[179,x]*F[70,x]
F[179,x] = F[162,x]+F[169,x]
F[180,x] = F[181,x]
F[181,x] = F[10,x]*F[117,x]*F[68,x]
F[182,x] = F[183,x]+F[39,x]
F[183,x] = F[184,x]
F[184,x] = F[39,x]^2*F[13,x]*F[182,x]
F[185,x] = F[186,x]
F[186,x] = F[13,x]*F[187,x]*F[39,x]
F[187,x] = F[156,x]+F[185,x]
F[188,x] = F[189,x]+F[190,x]
F[189,x] = F[11,x]+F[26,x]
F[190,x] = -F[230,x]+F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[10,x]*F[2,x]
F[193,x] = F[194,x]
F[194,x] = F[13,x]*F[195,x]
F[195,x] = F[196,x]+F[228,x]
F[196,x] = F[197,x]
F[197,x] = F[13,x]*F[198,x]
F[198,x] = F[199,x]+F[221,x]
F[199,x] = F[200,x]+F[205,x]
F[200,x] = F[196,x]+F[201,x]
F[201,x] = F[10,x]*F[202,x]
F[202,x] = 1/F[13,x]*F[203,x]
F[203,x] = F[204,x]
F[204,x] = F[118,x]+F[2,x]
F[205,x] = F[206,x]
F[206,x] = F[13,x]*F[207,x]
F[207,x] = F[208,x]+F[213,x]
F[208,x] = F[199,x]+F[209,x]
F[209,x] = F[210,x]
F[210,x] = F[13,x]*F[211,x]*F[68,x]*F[74,x]
F[211,x] = 1/F[13,x]*F[212,x]
F[212,x] = F[2,x]
F[213,x] = F[214,x]
F[214,x] = F[211,x]*F[215,x]
F[215,x] = F[216,x]
F[216,x] = F[13,x]*F[217,x]*F[68,x]
F[217,x] = F[218,x]+F[219,x]
F[218,x] = F[10,x]*F[39,x]
F[219,x] = F[220,x]
F[220,x] = F[10,x]*F[13,x]*F[68,x]*F[74,x]
F[221,x] = -F[205,x]+F[222,x]
F[222,x] = 1/F[13,x]*F[223,x]
F[223,x] = F[224,x]
F[224,x] = F[225,x]+F[226,x]
F[225,x] = -F[5,x]+F[100,x]
F[226,x] = F[227,x]
F[227,x] = F[10,x]*F[120,x]*F[13,x]*F[66,x]
F[228,x] = F[229,x]
F[229,x] = F[13,x]*F[211,x]*F[74,x]
F[230,x] = F[2,x]+F[87,x]
F[231,x] = F[232,x]*F[68,x]
F[232,x] = F[34,x]+F[39,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[35,x]*F[39,x]
F[235,x] = F[236,x]+F[290,x]
F[236,x] = F[237,x]
F[237,x] = F[13,x]*F[238,x]
F[238,x] = F[239,x]+F[241,x]
F[239,x] = F[240,x]*F[39,x]
F[240,x] = F[236,x]+F[46,x]
F[241,x] = F[242,x]+F[274,x]
F[242,x] = F[243,x]+F[244,x]
F[243,x] = F[39,x]*F[46,x]
F[244,x] = F[245,x]+F[256,x]
F[245,x] = F[18,x]+F[246,x]+F[58,x]+F[59,x]
F[246,x] = F[13,x]*F[247,x]
F[247,x] = F[248,x]+F[56,x]
F[248,x] = F[245,x]+F[249,x]
F[249,x] = F[18,x]+F[250,x]+F[251,x]+F[252,x]+F[255,x]
F[250,x] = 0
F[251,x] = 0
F[252,x] = F[13,x]*F[253,x]
F[253,x] = F[254,x]+F[61,x]
F[254,x] = F[249,x]
F[255,x] = F[13,x]*F[245,x]
F[256,x] = F[257,x]
F[257,x] = F[10,x]*F[13,x]*F[258,x]*F[68,x]
F[258,x] = F[259,x]+F[260,x]
F[259,x] = F[132,x]*F[66,x]
F[260,x] = F[261,x]+F[273,x]
F[261,x] = F[262,x]+F[63,x]
F[262,x] = F[263,x]+F[264,x]
F[263,x] = F[11,x]*F[132,x]
F[264,x] = F[265,x]
F[265,x] = F[13,x]*F[266,x]*F[65,x]
F[266,x] = 1/F[13,x]*F[267,x]
F[267,x] = F[268,x]
F[268,x] = -F[132,x]+F[269,x]
F[269,x] = -F[272,x]+F[270,x]
F[270,x] = 1/F[13,x]/F[68,x]*F[271,x]
F[271,x] = F[236,x]
F[272,x] = F[236,x]+F[35,x]
F[273,x] = F[11,x]*F[132,x]*F[66,x]
F[274,x] = F[275,x]+F[276,x]
F[275,x] = F[236,x]*F[39,x]
F[276,x] = F[277,x]+F[284,x]
F[277,x] = F[278,x]
F[278,x] = F[10,x]*F[13,x]*F[279,x]*F[68,x]
F[279,x] = F[280,x]+F[283,x]
F[280,x] = F[281,x]+F[282,x]
F[281,x] = F[35,x]*F[66,x]
F[282,x] = F[236,x]*F[68,x]
F[283,x] = F[269,x]*F[66,x]
F[284,x] = -F[300,x]+F[285,x]
F[285,x] = -F[299,x]+F[286,x]
F[286,x] = -F[294,x]+F[287,x]
F[287,x] = -F[293,x]+F[288,x]
F[288,x] = 1/F[13,x]*F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]
F[291,x] = F[13,x]*F[292,x]*F[70,x]
F[292,x] = F[269,x]+F[35,x]
F[293,x] = F[235,x]*F[39,x]
F[294,x] = F[295,x]+F[296,x]
F[295,x] = F[236,x]*F[39,x]
F[296,x] = F[277,x]+F[297,x]
F[297,x] = F[298,x]
F[298,x] = F[13,x]*F[279,x]*F[70,x]
F[299,x] = F[290,x]*F[39,x]
F[300,x] = -F[297,x]+F[301,x]
F[301,x] = -F[338,x]+F[302,x]
F[302,x] = -F[308,x]+F[303,x]
F[303,x] = -F[306,x]+F[304,x]
F[304,x] = 1/F[13,x]*F[305,x]
F[305,x] = F[290,x]
F[306,x] = F[307,x]*F[39,x]
F[307,x] = F[290,x]+F[63,x]
F[308,x] = F[309,x]+F[310,x]
F[309,x] = F[39,x]*F[63,x]
F[310,x] = F[311,x]+F[336,x]
F[311,x] = F[312,x]
F[312,x] = F[13,x]*F[313,x]*F[70,x]
F[313,x] = F[314,x]+F[318,x]
F[314,x] = F[315,x]
F[315,x] = F[316,x]
F[316,x] = F[13,x]*F[317,x]
F[317,x] = F[315,x]+F[66,x]
F[318,x] = F[319,x]+F[335,x]
F[319,x] = F[320,x]+F[334,x]
F[320,x] = F[321,x]
F[321,x] = F[322,x]
F[322,x] = F[13,x]*F[323,x]
F[323,x] = F[324,x]+F[327,x]
F[324,x] = F[325,x]+F[66,x]
F[325,x] = F[326,x]
F[326,x] = F[13,x]*F[66,x]
F[327,x] = F[321,x]+F[328,x]
F[328,x] = 2*F[18,x]+F[329,x]+F[333,x]
F[329,x] = F[13,x]*F[330,x]
F[330,x] = F[331,x]+F[332,x]
F[331,x] = F[325,x]
F[332,x] = F[328,x]
F[333,x] = F[13,x]*F[321,x]
F[334,x] = F[46,x]*F[68,x]
F[335,x] = F[66,x]^2*F[11,x]
F[336,x] = F[337,x]
F[337,x] = F[13,x]*F[258,x]*F[70,x]
F[338,x] = F[290,x]*F[39,x]
F[339,x] = F[340,x]
F[340,x] = F[13,x]*F[341,x]
F[341,x] = F[342,x]+F[76,x]
F[342,x] = F[33,x]
F[343,x] = -F[344,x]+F[342,x]
F[344,x] = F[345,x]+F[346,x]
F[345,x] = F[20,x]
F[346,x] = F[35,x]
F[347,x] = -F[354,x]+F[348,x]
F[348,x] = 1/F[13,x]*F[349,x]
F[349,x] = F[350,x]
F[350,x] = -F[353,x]+F[351,x]
F[351,x] = 1/F[13,x]*F[352,x]
F[352,x] = F[2,x]
F[353,x] = -1+x^2+4*x+F[353,x]^2*(-1+4*x)+(3-8*x)*F[353,x]
F[354,x] = F[351,x]+F[355,x]
F[355,x] = F[356,x]
F[356,x] = F[13,x]*F[357,x]
F[357,x] = F[358,x]+F[366,x]
F[358,x] = 1/F[13,x]*F[359,x]
F[359,x] = F[360,x]
F[360,x] = -F[363,x]+F[361,x]
F[361,x] = 1/F[13,x]*F[362,x]
F[362,x] = F[83,x]
F[363,x] = F[191,x]+F[364,x]
F[364,x] = F[365,x]
F[365,x] = F[120,x]*F[13,x]*F[232,x]
F[366,x] = F[367,x]
F[367,x] = F[13,x]*F[368,x]*F[68,x]
F[368,x] = 1/F[115,x]/F[13,x]*F[369,x]
F[369,x] = F[370,x]
F[370,x] = F[371,x]+F[385,x]
F[371,x] = -F[383,x]+F[372,x]
F[372,x] = F[373,x]
F[373,x] = -F[376,x]+F[374,x]
F[374,x] = 1/F[13,x]*F[375,x]
F[375,x] = F[346,x]
F[376,x] = F[377,x]
F[377,x] = F[13,x]*F[378,x]*F[68,x]
F[378,x] = F[379,x]+F[381,x]
F[379,x] = F[380,x]
F[380,x] = F[39,x]^2*F[10,x]
F[381,x] = F[382,x]
F[382,x] = F[10,x]*F[13,x]*F[368,x]*F[68,x]
F[383,x] = F[384,x]
F[384,x] = F[13,x]*F[368,x]*F[66,x]
F[385,x] = F[386,x]
F[386,x] = F[13,x]*F[368,x]*F[387,x]
F[387,x] = F[128,x]+F[2,x]
F[388,x] = F[339,x]+F[389,x]
F[389,x] = F[2,x]*F[39,x]
F[390,x] = F[107,x]+F[391,x]
F[391,x] = F[392,x]
F[392,x] = F[13,x]*F[393,x]
F[393,x] = F[394,x]+F[404,x]
F[394,x] = F[395,x]
F[395,x] = F[13,x]*F[396,x]
F[396,x] = F[397,x]+F[401,x]
F[397,x] = F[214,x]+F[398,x]
F[398,x] = F[394,x]+F[399,x]
F[399,x] = 1/F[13,x]*F[400,x]
F[400,x] = F[388,x]
F[401,x] = F[402,x]
F[402,x] = F[211,x]*F[403,x]
F[403,x] = F[111,x]
F[404,x] = F[221,x]
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_{13}\! \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_{13}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{390}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{388}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{24}\! \left(x \right)
F_{10}\! \left(x \right) = F_{1}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{14}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{13}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)+F_{23}\! \left(x \right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x \right) = F_{13}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{13}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)
F_{23}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = 4 x F_{25} \left(x \right)^{2}+x^{2}-F_{25} \left(x \right)^{2}+F_{25}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{13}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{347}\! \left(x \right)
F_{29}\! \left(x \right) = F_{24}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{345}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{343}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{339}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{11}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{13}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{42}\! \left(x \right)
F_{38}\! \left(x \right) = F_{34}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{1}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{39} \left(x \right)^{2} F_{13}\! \left(x \right)
F_{42}\! \left(x \right) = F_{233}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{45}\! \left(x \right)
F_{44}\! \left(x \right) = F_{11}\! \left(x \right) F_{39}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)+F_{63}\! \left(x \right)
F_{46}\! \left(x \right) = F_{18}\! \left(x \right)+F_{47}\! \left(x \right)+F_{53}\! \left(x \right)
F_{47}\! \left(x \right) = F_{13}\! \left(x \right) F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{50}\! \left(x \right)
F_{49}\! \left(x \right) = F_{13}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{18}\! \left(x \right)+F_{47}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right)
F_{53}\! \left(x \right) = F_{13}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)
F_{55}\! \left(x \right) = F_{11}\! \left(x \right)+F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{46}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right)+F_{58}\! \left(x \right)+F_{59}\! \left(x \right)+F_{62}\! \left(x \right)
F_{58}\! \left(x \right) = 0
F_{59}\! \left(x \right) = F_{13}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{50}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{57}\! \left(x \right)
F_{62}\! \left(x \right) = F_{13}\! \left(x \right) F_{46}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{13}\! \left(x \right) F_{65}\! \left(x \right) F_{70}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{69}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{1}\! \left(x \right)+F_{66}\! \left(x \right)
F_{69}\! \left(x \right) = F_{11}\! \left(x \right) F_{68}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{73}\! \left(x \right)
F_{71}\! \left(x \right) = F_{68}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{35}\! \left(x \right)+F_{40}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{13}\! \left(x \right) F_{92}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{0}\! \left(x \right) F_{34}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{85}\! \left(x \right) = F_{185}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{25}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{13}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{85}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{13}\! \left(x \right) F_{182}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{68}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{95}\! \left(x \right)+F_{81}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{13}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{180}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{13}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{175}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{9}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{13}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{7}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{13}\! \left(x \right) F_{68}\! \left(x \right) F_{74}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right)+F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{10}\! \left(x \right) F_{115}\! \left(x \right) F_{13}\! \left(x \right) F_{68}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{68}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{2}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{13}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{126}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{123}\! \left(x \right)
F_{122}\! \left(x \right) = F_{39}\! \left(x \right) F_{66}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{120}\! \left(x \right) F_{13}\! \left(x \right) F_{39}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{138}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{66}\! \left(x \right)
F_{129}\! \left(x \right) = F_{118}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{66}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{66}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{13}\! \left(x \right) F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)
F_{135}\! \left(x \right) = F_{131}\! \left(x \right) F_{39}\! \left(x \right)
F_{136}\! \left(x \right) = F_{131}\! \left(x \right) F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{131}\! \left(x \right)+F_{39}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{155}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{172}\! \left(x \right)
F_{141}\! \left(x \right) = -F_{170}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{13}\! \left(x \right) F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{161}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{155}\! \left(x \right)
F_{149}\! \left(x \right) = F_{0}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{2}\! \left(x \right) F_{68}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{66}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{13}\! \left(x \right) F_{39}\! \left(x \right) F_{40}\! \left(x \right) F_{68}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{144}\! \left(x \right)+F_{2}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = -F_{161}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = \frac{F_{160}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{160}\! \left(x \right) = F_{83}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{168}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{68}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{83}\! \left(x \right)
F_{168}\! \left(x \right) = F_{115}\! \left(x \right)+F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{137}\! \left(x \right) F_{66}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{172}\! \left(x \right)
F_{171}\! \left(x \right) = F_{124}\! \left(x \right)+F_{150}\! \left(x \right)
F_{172}\! \left(x \right) = F_{157}\! \left(x \right)+F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{120}\! \left(x \right) F_{13}\! \left(x \right) F_{131}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)
F_{176}\! \left(x \right) = F_{40}\! \left(x \right) F_{5}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{13}\! \left(x \right) F_{179}\! \left(x \right) F_{70}\! \left(x \right)
F_{179}\! \left(x \right) = F_{162}\! \left(x \right)+F_{169}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{10}\! \left(x \right) F_{117}\! \left(x \right) F_{68}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{39}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{39} \left(x \right)^{2} F_{13}\! \left(x \right) F_{182}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{13}\! \left(x \right) F_{187}\! \left(x \right) F_{39}\! \left(x \right)
F_{187}\! \left(x \right) = F_{156}\! \left(x \right)+F_{185}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{190}\! \left(x \right)
F_{189}\! \left(x \right) = F_{11}\! \left(x \right)+F_{26}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{13}\! \left(x \right) F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{228}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{13}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{221}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{205}\! \left(x \right)
F_{200}\! \left(x \right) = F_{196}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{10}\! \left(x \right) F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{118}\! \left(x \right)+F_{2}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{13}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{213}\! \left(x \right)
F_{208}\! \left(x \right) = F_{199}\! \left(x \right)+F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{13}\! \left(x \right) F_{211}\! \left(x \right) F_{68}\! \left(x \right) F_{74}\! \left(x \right)
F_{211}\! \left(x \right) = \frac{F_{212}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{212}\! \left(x \right) = F_{2}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{211}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{13}\! \left(x \right) F_{217}\! \left(x \right) F_{68}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{219}\! \left(x \right)
F_{218}\! \left(x \right) = F_{10}\! \left(x \right) F_{39}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{68}\! \left(x \right) F_{74}\! \left(x \right)
F_{221}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)+F_{226}\! \left(x \right)
F_{225}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{100}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{10}\! \left(x \right) F_{120}\! \left(x \right) F_{13}\! \left(x \right) F_{66}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{13}\! \left(x \right) F_{211}\! \left(x \right) F_{74}\! \left(x \right)
F_{230}\! \left(x \right) = F_{2}\! \left(x \right)+F_{87}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right) F_{68}\! \left(x \right)
F_{232}\! \left(x \right) = F_{34}\! \left(x \right)+F_{39}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{35}\! \left(x \right) F_{39}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{290}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{13}\! \left(x \right) F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{241}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right) F_{39}\! \left(x \right)
F_{240}\! \left(x \right) = F_{236}\! \left(x \right)+F_{46}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{274}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{244}\! \left(x \right)
F_{243}\! \left(x \right) = F_{39}\! \left(x \right) F_{46}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{256}\! \left(x \right)
F_{245}\! \left(x \right) = F_{18}\! \left(x \right)+F_{246}\! \left(x \right)+F_{58}\! \left(x \right)+F_{59}\! \left(x \right)
F_{246}\! \left(x \right) = F_{13}\! \left(x \right) F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)+F_{56}\! \left(x \right)
F_{248}\! \left(x \right) = F_{245}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{18}\! \left(x \right)+F_{250}\! \left(x \right)+F_{251}\! \left(x \right)+F_{252}\! \left(x \right)+F_{255}\! \left(x \right)
F_{250}\! \left(x \right) = 0
F_{251}\! \left(x \right) = 0
F_{252}\! \left(x \right) = F_{13}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{61}\! \left(x \right)
F_{254}\! \left(x \right) = F_{249}\! \left(x \right)
F_{255}\! \left(x \right) = F_{13}\! \left(x \right) F_{245}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{258}\! \left(x \right) F_{68}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)+F_{260}\! \left(x \right)
F_{259}\! \left(x \right) = F_{132}\! \left(x \right) F_{66}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{273}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{63}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)+F_{264}\! \left(x \right)
F_{263}\! \left(x \right) = F_{11}\! \left(x \right) F_{132}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{13}\! \left(x \right) F_{266}\! \left(x \right) F_{65}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{132}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{272}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{13}\! \left(x \right) F_{68}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{236}\! \left(x \right)
F_{272}\! \left(x \right) = F_{236}\! \left(x \right)+F_{35}\! \left(x \right)
F_{273}\! \left(x \right) = F_{11}\! \left(x \right) F_{132}\! \left(x \right) F_{66}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)+F_{276}\! \left(x \right)
F_{275}\! \left(x \right) = F_{236}\! \left(x \right) F_{39}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{284}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{279}\! \left(x \right) F_{68}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{283}\! \left(x \right)
F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{282}\! \left(x \right)
F_{281}\! \left(x \right) = F_{35}\! \left(x \right) F_{66}\! \left(x \right)
F_{282}\! \left(x \right) = F_{236}\! \left(x \right) F_{68}\! \left(x \right)
F_{283}\! \left(x \right) = F_{269}\! \left(x \right) F_{66}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{300}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = -F_{299}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = -F_{294}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = \frac{F_{289}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{13}\! \left(x \right) F_{292}\! \left(x \right) F_{70}\! \left(x \right)
F_{292}\! \left(x \right) = F_{269}\! \left(x \right)+F_{35}\! \left(x \right)
F_{293}\! \left(x \right) = F_{235}\! \left(x \right) F_{39}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{296}\! \left(x \right)
F_{295}\! \left(x \right) = F_{236}\! \left(x \right) F_{39}\! \left(x \right)
F_{296}\! \left(x \right) = F_{277}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{13}\! \left(x \right) F_{279}\! \left(x \right) F_{70}\! \left(x \right)
F_{299}\! \left(x \right) = F_{290}\! \left(x \right) F_{39}\! \left(x \right)
F_{300}\! \left(x \right) = -F_{297}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = -F_{308}\! \left(x \right)+F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{290}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right) F_{39}\! \left(x \right)
F_{307}\! \left(x \right) = F_{290}\! \left(x \right)+F_{63}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)+F_{310}\! \left(x \right)
F_{309}\! \left(x \right) = F_{39}\! \left(x \right) F_{63}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)+F_{336}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{13}\! \left(x \right) F_{313}\! \left(x \right) F_{70}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{318}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{13}\! \left(x \right) F_{317}\! \left(x \right)
F_{317}\! \left(x \right) = F_{315}\! \left(x \right)+F_{66}\! \left(x \right)
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)+F_{335}\! \left(x \right)
F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{334}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{13}\! \left(x \right) F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right)+F_{327}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{66}\! \left(x \right)
F_{325}\! \left(x \right) = F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{13}\! \left(x \right) F_{66}\! \left(x \right)
F_{327}\! \left(x \right) = F_{321}\! \left(x \right)+F_{328}\! \left(x \right)
F_{328}\! \left(x \right) = 2 F_{18}\! \left(x \right)+F_{329}\! \left(x \right)+F_{333}\! \left(x \right)
F_{329}\! \left(x \right) = F_{13}\! \left(x \right) F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)+F_{332}\! \left(x \right)
F_{331}\! \left(x \right) = F_{325}\! \left(x \right)
F_{332}\! \left(x \right) = F_{328}\! \left(x \right)
F_{333}\! \left(x \right) = F_{13}\! \left(x \right) F_{321}\! \left(x \right)
F_{334}\! \left(x \right) = F_{46}\! \left(x \right) F_{68}\! \left(x \right)
F_{335}\! \left(x \right) = F_{66} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{336}\! \left(x \right) = F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{13}\! \left(x \right) F_{258}\! \left(x \right) F_{70}\! \left(x \right)
F_{338}\! \left(x \right) = F_{290}\! \left(x \right) F_{39}\! \left(x \right)
F_{339}\! \left(x \right) = F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{13}\! \left(x \right) F_{341}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{76}\! \left(x \right)
F_{342}\! \left(x \right) = F_{33}\! \left(x \right)
F_{343}\! \left(x \right) = -F_{344}\! \left(x \right)+F_{342}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{346}\! \left(x \right)
F_{345}\! \left(x \right) = F_{20}\! \left(x \right)
F_{346}\! \left(x \right) = F_{35}\! \left(x \right)
F_{347}\! \left(x \right) = -F_{354}\! \left(x \right)+F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = \frac{F_{349}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{353}\! \left(x \right)+F_{351}\! \left(x \right)
F_{351}\! \left(x \right) = \frac{F_{352}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{352}\! \left(x \right) = F_{2}\! \left(x \right)
F_{353}\! \left(x \right) = 4 F_{353} \left(x \right)^{2} x +x^{2}-8 F_{353}\! \left(x \right) x -F_{353} \left(x \right)^{2}+4 x +3 F_{353}\! \left(x \right)-1
F_{354}\! \left(x \right) = F_{351}\! \left(x \right)+F_{355}\! \left(x \right)
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{13}\! \left(x \right) F_{357}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{366}\! \left(x \right)
F_{358}\! \left(x \right) = \frac{F_{359}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{359}\! \left(x \right) = F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{361}\! \left(x \right)
F_{361}\! \left(x \right) = \frac{F_{362}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{362}\! \left(x \right) = F_{83}\! \left(x \right)
F_{363}\! \left(x \right) = F_{191}\! \left(x \right)+F_{364}\! \left(x \right)
F_{364}\! \left(x \right) = F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{120}\! \left(x \right) F_{13}\! \left(x \right) F_{232}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{13}\! \left(x \right) F_{368}\! \left(x \right) F_{68}\! \left(x \right)
F_{368}\! \left(x \right) = \frac{F_{369}\! \left(x \right)}{F_{115}\! \left(x \right) F_{13}\! \left(x \right)}
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)+F_{385}\! \left(x \right)
F_{371}\! \left(x \right) = -F_{383}\! \left(x \right)+F_{372}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = -F_{376}\! \left(x \right)+F_{374}\! \left(x \right)
F_{374}\! \left(x \right) = \frac{F_{375}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{375}\! \left(x \right) = F_{346}\! \left(x \right)
F_{376}\! \left(x \right) = F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{13}\! \left(x \right) F_{378}\! \left(x \right) F_{68}\! \left(x \right)
F_{378}\! \left(x \right) = F_{379}\! \left(x \right)+F_{381}\! \left(x \right)
F_{379}\! \left(x \right) = F_{380}\! \left(x \right)
F_{380}\! \left(x \right) = F_{39} \left(x \right)^{2} F_{10}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{10}\! \left(x \right) F_{13}\! \left(x \right) F_{368}\! \left(x \right) F_{68}\! \left(x \right)
F_{383}\! \left(x \right) = F_{384}\! \left(x \right)
F_{384}\! \left(x \right) = F_{13}\! \left(x \right) F_{368}\! \left(x \right) F_{66}\! \left(x \right)
F_{385}\! \left(x \right) = F_{386}\! \left(x \right)
F_{386}\! \left(x \right) = F_{13}\! \left(x \right) F_{368}\! \left(x \right) F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = F_{128}\! \left(x \right)+F_{2}\! \left(x \right)
F_{388}\! \left(x \right) = F_{339}\! \left(x \right)+F_{389}\! \left(x \right)
F_{389}\! \left(x \right) = F_{2}\! \left(x \right) F_{39}\! \left(x \right)
F_{390}\! \left(x \right) = F_{107}\! \left(x \right)+F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{13}\! \left(x \right) F_{393}\! \left(x \right)
F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{404}\! \left(x \right)
F_{394}\! \left(x \right) = F_{395}\! \left(x \right)
F_{395}\! \left(x \right) = F_{13}\! \left(x \right) F_{396}\! \left(x \right)
F_{396}\! \left(x \right) = F_{397}\! \left(x \right)+F_{401}\! \left(x \right)
F_{397}\! \left(x \right) = F_{214}\! \left(x \right)+F_{398}\! \left(x \right)
F_{398}\! \left(x \right) = F_{394}\! \left(x \right)+F_{399}\! \left(x \right)
F_{399}\! \left(x \right) = \frac{F_{400}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{400}\! \left(x \right) = F_{388}\! \left(x \right)
F_{401}\! \left(x \right) = F_{402}\! \left(x \right)
F_{402}\! \left(x \right) = F_{211}\! \left(x \right) F_{403}\! \left(x \right)
F_{403}\! \left(x \right) = F_{111}\! \left(x \right)
F_{404}\! \left(x \right) = F_{221}\! \left(x \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_13(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_13(x)*F_7(x))
Eq(F_7(x), F_390(x) + F_8(x))
Eq(F_8(x), F_388(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_24(x))
Eq(F_10(x), F_1(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_14(x))
Eq(F_13(x), x)
Eq(F_14(x), F_15(x) + F_16(x))
Eq(F_15(x), F_1(x) + F_13(x))
Eq(F_16(x), F_11(x) + F_17(x))
Eq(F_17(x), F_18(x) + F_19(x) + F_23(x))
Eq(F_18(x), 0)
Eq(F_19(x), F_13(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_13(x))
Eq(F_22(x), F_17(x))
Eq(F_23(x), F_11(x)*F_13(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), x**2 + 4*x + (2 - 8*x)*(F_25(x) + 1) + (4*x - 1)*(F_25(x) + 1)**2 + F_25(x) - 1)
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_13(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_347(x))
Eq(F_29(x), F_24(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_345(x))
Eq(F_31(x), F_32(x) - F_343(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_339(x) + F_34(x))
Eq(F_34(x), F_11(x) + F_35(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_13(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_42(x))
Eq(F_38(x), F_34(x)*F_39(x))
Eq(F_39(x), F_1(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_13(x)*F_39(x)**2)
Eq(F_42(x), F_233(x) + F_43(x))
Eq(F_43(x), F_44(x) + F_45(x))
Eq(F_44(x), F_11(x)*F_39(x))
Eq(F_45(x), F_46(x) + F_63(x))
Eq(F_46(x), F_18(x) + F_47(x) + F_53(x))
Eq(F_47(x), F_13(x)*F_48(x))
Eq(F_48(x), F_49(x) + F_50(x))
Eq(F_49(x), F_13(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_18(x) + F_47(x) + F_52(x))
Eq(F_52(x), F_11(x)*F_13(x))
Eq(F_53(x), F_13(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_56(x))
Eq(F_55(x), F_11(x) + F_51(x))
Eq(F_56(x), F_46(x) + F_57(x))
Eq(F_57(x), F_18(x) + F_58(x) + F_59(x) + F_62(x))
Eq(F_58(x), 0)
Eq(F_59(x), F_13(x)*F_60(x))
Eq(F_60(x), F_50(x) + F_61(x))
Eq(F_61(x), F_57(x))
Eq(F_62(x), F_13(x)*F_46(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_13(x)*F_65(x)*F_70(x))
Eq(F_65(x), F_66(x) + F_69(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_13(x)*F_68(x))
Eq(F_68(x), F_1(x) + F_66(x))
Eq(F_69(x), F_11(x)*F_68(x))
Eq(F_70(x), F_71(x) + F_73(x))
Eq(F_71(x), F_68(x)*F_72(x))
Eq(F_72(x), F_35(x) + F_40(x))
Eq(F_73(x), -F_231(x) + F_74(x))
Eq(F_74(x), F_75(x)/(F_13(x)*F_92(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), F_0(x)*F_34(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), -F_188(x) + F_80(x))
Eq(F_80(x), F_81(x) - F_85(x))
Eq(F_81(x), F_82(x)/F_13(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), -F_2(x) + F_84(x))
Eq(F_84(x), -F_0(x) + F_4(x))
Eq(F_85(x), F_185(x) + F_86(x))
Eq(F_86(x), F_25(x) + F_87(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_13(x)*F_89(x))
Eq(F_89(x), F_85(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_13(x)*F_182(x)*F_92(x))
Eq(F_92(x), F_93(x)/(F_10(x)*F_13(x)*F_68(x)))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_81(x) - F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_13(x)*F_97(x))
Eq(F_97(x), F_180(x) + F_98(x))
Eq(F_98(x), F_99(x)/F_13(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_13(x))
Eq(F_102(x), F_103(x)/F_13(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) + F_175(x))
Eq(F_105(x), F_106(x) - F_112(x))
Eq(F_106(x), F_107(x) + F_9(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_13(x))
Eq(F_109(x), F_110(x) + F_7(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_13(x)*F_68(x)*F_74(x))
Eq(F_112(x), F_0(x) + F_113(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_10(x)*F_115(x)*F_13(x)*F_68(x))
Eq(F_115(x), F_116(x) + F_68(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x) + F_2(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x)*F_13(x))
Eq(F_120(x), F_121(x) + F_126(x))
Eq(F_121(x), F_122(x) + F_123(x))
Eq(F_122(x), F_39(x)*F_66(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_120(x)*F_13(x)*F_39(x))
Eq(F_126(x), F_127(x) + F_138(x))
Eq(F_127(x), F_128(x) + F_130(x))
Eq(F_128(x), F_129(x) + F_66(x))
Eq(F_129(x), F_118(x))
Eq(F_130(x), F_131(x)*F_66(x))
Eq(F_131(x), F_132(x) + F_66(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_13(x)*F_134(x))
Eq(F_134(x), F_135(x) + F_136(x))
Eq(F_135(x), F_131(x)*F_39(x))
Eq(F_136(x), F_131(x)*F_137(x))
Eq(F_137(x), F_131(x) + F_39(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) - F_155(x))
Eq(F_140(x), F_141(x) + F_172(x))
Eq(F_141(x), F_142(x) - F_170(x))
Eq(F_142(x), F_143(x)/F_13(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) - F_2(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_13(x)*F_147(x))
Eq(F_147(x), F_148(x) + F_161(x))
Eq(F_148(x), F_149(x) + F_155(x))
Eq(F_149(x), F_0(x) + F_150(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_2(x)*F_68(x))
Eq(F_152(x), F_153(x)*F_66(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_13(x)*F_39(x)*F_40(x)*F_68(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_144(x) + F_2(x))
Eq(F_157(x), -F_150(x) + F_158(x))
Eq(F_158(x), F_159(x) - F_161(x))
Eq(F_159(x), F_160(x)/F_13(x))
Eq(F_160(x), F_83(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x) - F_168(x))
Eq(F_163(x), F_164(x)/(F_10(x)*F_13(x)*F_68(x)))
Eq(F_164(x), F_165(x))
Eq(F_165(x), -F_104(x) + F_166(x))
Eq(F_166(x), F_167(x)/F_13(x))
Eq(F_167(x), F_83(x))
Eq(F_168(x), F_115(x) + F_169(x))
Eq(F_169(x), F_137(x)*F_66(x))
Eq(F_170(x), F_171(x) + F_172(x))
Eq(F_171(x), F_124(x) + F_150(x))
Eq(F_172(x), F_157(x) + F_173(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_120(x)*F_13(x)*F_131(x))
Eq(F_175(x), F_176(x) + F_177(x))
Eq(F_176(x), F_40(x)*F_5(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_13(x)*F_179(x)*F_70(x))
Eq(F_179(x), F_162(x) + F_169(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_10(x)*F_117(x)*F_68(x))
Eq(F_182(x), F_183(x) + F_39(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_13(x)*F_182(x)*F_39(x)**2)
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_13(x)*F_187(x)*F_39(x))
Eq(F_187(x), F_156(x) + F_185(x))
Eq(F_188(x), F_189(x) + F_190(x))
Eq(F_189(x), F_11(x) + F_26(x))
Eq(F_190(x), F_191(x) - F_230(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_10(x)*F_2(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_13(x)*F_195(x))
Eq(F_195(x), F_196(x) + F_228(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_13(x)*F_198(x))
Eq(F_198(x), F_199(x) + F_221(x))
Eq(F_199(x), F_200(x) + F_205(x))
Eq(F_200(x), F_196(x) + F_201(x))
Eq(F_201(x), F_10(x)*F_202(x))
Eq(F_202(x), F_203(x)/F_13(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_118(x) + F_2(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_13(x)*F_207(x))
Eq(F_207(x), F_208(x) + F_213(x))
Eq(F_208(x), F_199(x) + F_209(x))
Eq(F_209(x), F_210(x))
Eq(F_210(x), F_13(x)*F_211(x)*F_68(x)*F_74(x))
Eq(F_211(x), F_212(x)/F_13(x))
Eq(F_212(x), F_2(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_211(x)*F_215(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_13(x)*F_217(x)*F_68(x))
Eq(F_217(x), F_218(x) + F_219(x))
Eq(F_218(x), F_10(x)*F_39(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_10(x)*F_13(x)*F_68(x)*F_74(x))
Eq(F_221(x), -F_205(x) + F_222(x))
Eq(F_222(x), F_223(x)/F_13(x))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_225(x) + F_226(x))
Eq(F_225(x), F_100(x) - F_5(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_10(x)*F_120(x)*F_13(x)*F_66(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_13(x)*F_211(x)*F_74(x))
Eq(F_230(x), F_2(x) + F_87(x))
Eq(F_231(x), F_232(x)*F_68(x))
Eq(F_232(x), F_34(x) + F_39(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_35(x)*F_39(x))
Eq(F_235(x), F_236(x) + F_290(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_13(x)*F_238(x))
Eq(F_238(x), F_239(x) + F_241(x))
Eq(F_239(x), F_240(x)*F_39(x))
Eq(F_240(x), F_236(x) + F_46(x))
Eq(F_241(x), F_242(x) + F_274(x))
Eq(F_242(x), F_243(x) + F_244(x))
Eq(F_243(x), F_39(x)*F_46(x))
Eq(F_244(x), F_245(x) + F_256(x))
Eq(F_245(x), F_18(x) + F_246(x) + F_58(x) + F_59(x))
Eq(F_246(x), F_13(x)*F_247(x))
Eq(F_247(x), F_248(x) + F_56(x))
Eq(F_248(x), F_245(x) + F_249(x))
Eq(F_249(x), F_18(x) + F_250(x) + F_251(x) + F_252(x) + F_255(x))
Eq(F_250(x), 0)
Eq(F_251(x), 0)
Eq(F_252(x), F_13(x)*F_253(x))
Eq(F_253(x), F_254(x) + F_61(x))
Eq(F_254(x), F_249(x))
Eq(F_255(x), F_13(x)*F_245(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_10(x)*F_13(x)*F_258(x)*F_68(x))
Eq(F_258(x), F_259(x) + F_260(x))
Eq(F_259(x), F_132(x)*F_66(x))
Eq(F_260(x), F_261(x) + F_273(x))
Eq(F_261(x), F_262(x) + F_63(x))
Eq(F_262(x), F_263(x) + F_264(x))
Eq(F_263(x), F_11(x)*F_132(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_13(x)*F_266(x)*F_65(x))
Eq(F_266(x), F_267(x)/F_13(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), -F_132(x) + F_269(x))
Eq(F_269(x), F_270(x) - F_272(x))
Eq(F_270(x), F_271(x)/(F_13(x)*F_68(x)))
Eq(F_271(x), F_236(x))
Eq(F_272(x), F_236(x) + F_35(x))
Eq(F_273(x), F_11(x)*F_132(x)*F_66(x))
Eq(F_274(x), F_275(x) + F_276(x))
Eq(F_275(x), F_236(x)*F_39(x))
Eq(F_276(x), F_277(x) + F_284(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_10(x)*F_13(x)*F_279(x)*F_68(x))
Eq(F_279(x), F_280(x) + F_283(x))
Eq(F_280(x), F_281(x) + F_282(x))
Eq(F_281(x), F_35(x)*F_66(x))
Eq(F_282(x), F_236(x)*F_68(x))
Eq(F_283(x), F_269(x)*F_66(x))
Eq(F_284(x), F_285(x) - F_300(x))
Eq(F_285(x), F_286(x) - F_299(x))
Eq(F_286(x), F_287(x) - F_294(x))
Eq(F_287(x), F_288(x) - F_293(x))
Eq(F_288(x), F_289(x)/F_13(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x))
Eq(F_291(x), F_13(x)*F_292(x)*F_70(x))
Eq(F_292(x), F_269(x) + F_35(x))
Eq(F_293(x), F_235(x)*F_39(x))
Eq(F_294(x), F_295(x) + F_296(x))
Eq(F_295(x), F_236(x)*F_39(x))
Eq(F_296(x), F_277(x) + F_297(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_13(x)*F_279(x)*F_70(x))
Eq(F_299(x), F_290(x)*F_39(x))
Eq(F_300(x), -F_297(x) + F_301(x))
Eq(F_301(x), F_302(x) - F_338(x))
Eq(F_302(x), F_303(x) - F_308(x))
Eq(F_303(x), F_304(x) - F_306(x))
Eq(F_304(x), F_305(x)/F_13(x))
Eq(F_305(x), F_290(x))
Eq(F_306(x), F_307(x)*F_39(x))
Eq(F_307(x), F_290(x) + F_63(x))
Eq(F_308(x), F_309(x) + F_310(x))
Eq(F_309(x), F_39(x)*F_63(x))
Eq(F_310(x), F_311(x) + F_336(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_13(x)*F_313(x)*F_70(x))
Eq(F_313(x), F_314(x) + F_318(x))
Eq(F_314(x), F_315(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_13(x)*F_317(x))
Eq(F_317(x), F_315(x) + F_66(x))
Eq(F_318(x), F_319(x) + F_335(x))
Eq(F_319(x), F_320(x) + F_334(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_322(x))
Eq(F_322(x), F_13(x)*F_323(x))
Eq(F_323(x), F_324(x) + F_327(x))
Eq(F_324(x), F_325(x) + F_66(x))
Eq(F_325(x), F_326(x))
Eq(F_326(x), F_13(x)*F_66(x))
Eq(F_327(x), F_321(x) + F_328(x))
Eq(F_328(x), 2*F_18(x) + F_329(x) + F_333(x))
Eq(F_329(x), F_13(x)*F_330(x))
Eq(F_330(x), F_331(x) + F_332(x))
Eq(F_331(x), F_325(x))
Eq(F_332(x), F_328(x))
Eq(F_333(x), F_13(x)*F_321(x))
Eq(F_334(x), F_46(x)*F_68(x))
Eq(F_335(x), F_11(x)*F_66(x)**2)
Eq(F_336(x), F_337(x))
Eq(F_337(x), F_13(x)*F_258(x)*F_70(x))
Eq(F_338(x), F_290(x)*F_39(x))
Eq(F_339(x), F_340(x))
Eq(F_340(x), F_13(x)*F_341(x))
Eq(F_341(x), F_342(x) + F_76(x))
Eq(F_342(x), F_33(x))
Eq(F_343(x), F_342(x) - F_344(x))
Eq(F_344(x), F_345(x) + F_346(x))
Eq(F_345(x), F_20(x))
Eq(F_346(x), F_35(x))
Eq(F_347(x), F_348(x) - F_354(x))
Eq(F_348(x), F_349(x)/F_13(x))
Eq(F_349(x), F_350(x))
Eq(F_350(x), F_351(x) - F_353(x))
Eq(F_351(x), F_352(x)/F_13(x))
Eq(F_352(x), F_2(x))
Eq(F_353(x), x**2 + 4*x + (3 - 8*x)*F_353(x) + (4*x - 1)*F_353(x)**2 - 1)
Eq(F_354(x), F_351(x) + F_355(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), F_13(x)*F_357(x))
Eq(F_357(x), F_358(x) + F_366(x))
Eq(F_358(x), F_359(x)/F_13(x))
Eq(F_359(x), F_360(x))
Eq(F_360(x), F_361(x) - F_363(x))
Eq(F_361(x), F_362(x)/F_13(x))
Eq(F_362(x), F_83(x))
Eq(F_363(x), F_191(x) + F_364(x))
Eq(F_364(x), F_365(x))
Eq(F_365(x), F_120(x)*F_13(x)*F_232(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_13(x)*F_368(x)*F_68(x))
Eq(F_368(x), F_369(x)/(F_115(x)*F_13(x)))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_371(x) + F_385(x))
Eq(F_371(x), F_372(x) - F_383(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_374(x) - F_376(x))
Eq(F_374(x), F_375(x)/F_13(x))
Eq(F_375(x), F_346(x))
Eq(F_376(x), F_377(x))
Eq(F_377(x), F_13(x)*F_378(x)*F_68(x))
Eq(F_378(x), F_379(x) + F_381(x))
Eq(F_379(x), F_380(x))
Eq(F_380(x), F_10(x)*F_39(x)**2)
Eq(F_381(x), F_382(x))
Eq(F_382(x), F_10(x)*F_13(x)*F_368(x)*F_68(x))
Eq(F_383(x), F_384(x))
Eq(F_384(x), F_13(x)*F_368(x)*F_66(x))
Eq(F_385(x), F_386(x))
Eq(F_386(x), F_13(x)*F_368(x)*F_387(x))
Eq(F_387(x), F_128(x) + F_2(x))
Eq(F_388(x), F_339(x) + F_389(x))
Eq(F_389(x), F_2(x)*F_39(x))
Eq(F_390(x), F_107(x) + F_391(x))
Eq(F_391(x), F_392(x))
Eq(F_392(x), F_13(x)*F_393(x))
Eq(F_393(x), F_394(x) + F_404(x))
Eq(F_394(x), F_395(x))
Eq(F_395(x), F_13(x)*F_396(x))
Eq(F_396(x), F_397(x) + F_401(x))
Eq(F_397(x), F_214(x) + F_398(x))
Eq(F_398(x), F_394(x) + F_399(x))
Eq(F_399(x), F_400(x)/F_13(x))
Eq(F_400(x), F_388(x))
Eq(F_401(x), F_402(x))
Eq(F_402(x), F_211(x)*F_403(x))
Eq(F_403(x), F_111(x))
Eq(F_404(x), F_221(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"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}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 1, 4, 2], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": 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": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "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, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "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]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 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, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 2], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[1, 2], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[1, 2], [1, 2], [1, 0], [1, 2], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "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]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [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, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1]], [[1, 0], [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", 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{"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [4, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[5, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[5, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [1, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [5, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[2, 0]]}], [{"patt": [0], "pos": [[4, 1]]}], [{"patt": [0], "pos": [[5, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}, {"patt": [0], "pos": [[4, 0]]}, {"patt": [0], "pos": [[5, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [3, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[3, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [4, 1]]}, {"patt": [0, 1], "pos": [[4, 1], [5, 1]]}, {"patt": [0, 1], "pos": [[5, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [3, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[3, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [4, 1]]}, {"patt": [1, 0], "pos": [[4, 1], [5, 1]]}, {"patt": [1, 0], "pos": [[5, 1], [5, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [5, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [3, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [5, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}], [{"patt": [0], "pos": [[3, 1]]}], [{"patt": [0], "pos": [[4, 1]]}], [{"patt": [0], "pos": [[5, 1]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: row_placements_tracked_fusion
Tree: http://www.permpal.com/tree/25214/
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[7,x]
F[3,x] = F[4,x,1]
F[4,x,k[0]] = F[1,x]+F[5,x,k[0]]+F[8,x,k[0]]
F[5,x,k[0]] = F[6,x,k[0]]*F[7,x]
F[6,x,k[0]] = 1/(-1+k[0])*(F[4,x,k[0]]*k[0]-F[4,x,1])
F[7,x] = x
F[8,x,k[0]] = F[24,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,1,k[0]]
F[10,x,k[0],k[1]] = (F[11,x,k[0]*k[1]]*k[0]-F[11,x,k[1]])/(-1+k[0])
F[11,x,k[0]] = F[1,x]+F[12,x,k[0]]+F[38,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[7,x]
F[13,x,k[0]] = F[1,x]+F[14,x,k[0]]+F[32,x,k[0]]+F[35,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[7,x]
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = 1/(-1+k[0])*(F[17,x,k[0],k[1]]*k[0]-F[17,x,1,k[1]])
F[17,x,k[0],k[1]] = F[1,x]+F[18,x,k[0],k[1]]+F[20,x,k[0],k[1]]+F[25,x,k[0],k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[0],k[1]]*F[7,x]
F[19,x,k[0],k[1]] = 1/(-1+k[0])*(F[17,x,k[0],k[1]]*k[0]-F[17,x,1,k[1]])
F[20,x,k[0],k[1]] = F[21,x,k[0],k[1]]*F[24,x,k[0]]
F[21,x,k[0],k[1]] = F[22,x,1,k[0],k[1]]
F[22,x,k[0],k[1],k[2]] = (F[23,x,k[0]*k[1],k[2]]*k[0]-F[23,x,k[1],k[2]])/(-1+k[0])
F[23,x,k[0],k[1]] = (F[11,x,k[0]]*k[0]-F[11,x,k[1]]*k[1])/(-k[1]+k[0])
F[24,x,k[0]] = k[0]*x
F[25,x,k[0],k[1]] = F[24,x,k[1]]*F[26,x,k[0],k[1]]
F[26,x,k[0],k[1]] = 1/(-1+k[0])*(F[27,x,k[0],k[1]]*k[0]-F[27,x,1,k[1]])
F[27,x,k[0],k[1]] = (-F[28,x,1,k[1]]*k[1]+F[28,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[28,x,k[0],k[1]] = F[1,x]+F[29,x,k[0],k[1]]+F[30,x,k[0],k[1]]
F[29,x,k[0],k[1]] = F[24,x,k[1]]*F[28,x,k[0],k[1]]
F[30,x,k[0],k[1]] = F[24,x,k[1]]*F[31,x,k[0],k[1]]
F[31,x,k[0],k[1]] = F[27,x,k[0]*k[1],k[1]]
F[32,x,k[0]] = F[33,x,k[0]]*F[7,x]
F[33,x,k[0]] = F[34,x,1,k[0]]
F[34,x,k[0],k[1]] = (F[23,x,k[0],k[1]]*k[0]-F[23,x,1,k[1]])/(-1+k[0])
F[35,x,k[0]] = F[24,x,k[0]]*F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,1,k[0]]
F[37,x,k[0],k[1]] = 1/(-1+k[0])*(F[27,x,k[0],k[1]]*k[0]-F[27,x,1,k[1]])
F[38,x,k[0]] = F[24,x,k[0]]*F[39,x,k[0]]
F[39,x,k[0]] = F[27,x,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_{7}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x , 1\right)
F_{4}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{5}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{5}\! \left(x , y_{0}\right) = F_{6}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{6}\! \left(x , y_{0}\right) = -\frac{-F_{4}\! \left(x , y_{0}\right) y_{0}+F_{4}\! \left(x , 1\right)}{-1+y_{0}}
F_{7}\! \left(x \right) = x
F_{8}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , 1, y_{0}\right)
F_{10}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{11}\! \left(x , y_{0} y_{1}\right) y_{0}+F_{11}\! \left(x , y_{1}\right)}{-1+y_{0}}
F_{11}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{12}\! \left(x , y_{0}\right)+F_{38}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y_{0}\right)+F_{32}\! \left(x , y_{0}\right)+F_{35}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{17}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{17}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{18}\! \left(x , y_{0}, y_{1}\right)+F_{20}\! \left(x , y_{0}, y_{1}\right)+F_{25}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{0}, y_{1}\right) F_{7}\! \left(x \right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{17}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{17}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, y_{1}\right) F_{24}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}, y_{1}\right) = F_{22}\! \left(x , 1, y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{23}\! \left(x , y_{0} y_{1}, y_{2}\right) y_{0}+F_{23}\! \left(x , y_{1}, y_{2}\right)}{-1+y_{0}}
F_{23}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{11}\! \left(x , y_{0}\right) y_{0}-F_{11}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{24}\! \left(x , y_{0}\right) = y_{0} x
F_{25}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{26}\! \left(x , y_{0}, y_{1}\right)
F_{26}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{27}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{27}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{28}\! \left(x , 1, y_{1}\right) y_{1}-F_{28}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{28}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{29}\! \left(x , y_{0}, y_{1}\right)+F_{30}\! \left(x , y_{0}, y_{1}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{28}\! \left(x , y_{0}, y_{1}\right)
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{24}\! \left(x , y_{1}\right) F_{31}\! \left(x , y_{0}, y_{1}\right)
F_{31}\! \left(x , y_{0}, y_{1}\right) = F_{27}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{32}\! \left(x , y_{0}\right) = F_{33}\! \left(x , y_{0}\right) F_{7}\! \left(x \right)
F_{33}\! \left(x , y_{0}\right) = F_{34}\! \left(x , 1, y_{0}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{23}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{23}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{0}\right)
F_{36}\! \left(x , y_{0}\right) = F_{37}\! \left(x , 1, y_{0}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{27}\! \left(x , y_{0}, y_{1}\right)+F_{27}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{38}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}\right) = F_{27}\! \left(x , 1, y_{0}\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)*F_7(x))
Eq(F_3(x), F_4(x, 1))
Eq(F_4(x, k_0), F_1(x) + F_5(x, k_0) + F_8(x, k_0))
Eq(F_5(x, k_0), F_6(x, k_0)*F_7(x))
Eq(F_6(x, k_0), (k_0*F_4(x, k_0) - F_4(x, 1))/(k_0 - 1))
Eq(F_7(x), x)
Eq(F_8(x, k_0), F_24(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, 1, k_0))
Eq(F_10(x, k_0, k_1), (-k_0*k_1*F_11(x, k_0*k_1) + k_1*F_11(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_11(x, k_0), F_1(x) + F_12(x, k_0) + F_38(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_7(x))
Eq(F_13(x, k_0), F_1(x) + F_14(x, k_0) + F_32(x, k_0) + F_35(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_7(x))
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), (-k_0*F_17(x, k_0, k_1) + F_17(x, 1, k_1))/(1 - k_0))
Eq(F_17(x, k_0, k_1), F_1(x) + F_18(x, k_0, k_1) + F_20(x, k_0, k_1) + F_25(x, k_0, k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_0, k_1)*F_7(x))
Eq(F_19(x, k_0, k_1), (k_0*F_17(x, k_0, k_1) - F_17(x, 1, k_1))/(k_0 - 1))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, k_1)*F_24(x, k_0))
Eq(F_21(x, k_0, k_1), F_22(x, 1, k_0, k_1))
Eq(F_22(x, k_0, k_1, k_2), (-k_0*k_1*F_23(x, k_0*k_1, k_2) + k_1*F_23(x, k_1, k_2))/(-k_0*k_1 + k_1))
Eq(F_23(x, k_0, k_1), (-k_0*F_11(x, k_0) + k_1*F_11(x, k_1))/(-k_0 + k_1))
Eq(F_24(x, k_0), k_0*x)
Eq(F_25(x, k_0, k_1), F_24(x, k_1)*F_26(x, k_0, k_1))
Eq(F_26(x, k_0, k_1), (k_0*F_27(x, k_0, k_1) - F_27(x, 1, k_1))/(k_0 - 1))
Eq(F_27(x, k_0, k_1), (-k_0*F_28(x, k_0/k_1, k_1) + k_1*F_28(x, 1, k_1))/(-k_0 + k_1))
Eq(F_28(x, k_0, k_1), F_1(x) + F_29(x, k_0, k_1) + F_30(x, k_0, k_1))
Eq(F_29(x, k_0, k_1), F_24(x, k_1)*F_28(x, k_0, k_1))
Eq(F_30(x, k_0, k_1), F_24(x, k_1)*F_31(x, k_0, k_1))
Eq(F_31(x, k_0, k_1), F_27(x, k_0*k_1, k_1))
Eq(F_32(x, k_0), F_33(x, k_0)*F_7(x))
Eq(F_33(x, k_0), F_34(x, 1, k_0))
Eq(F_34(x, k_0, k_1), (-k_0*F_23(x, k_0, k_1) + F_23(x, 1, k_1))/(1 - k_0))
Eq(F_35(x, k_0), F_24(x, k_0)*F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, 1, k_0))
Eq(F_37(x, k_0, k_1), (-k_0*F_27(x, k_0, k_1) + F_27(x, 1, k_1))/(1 - k_0))
Eq(F_38(x, k_0), F_24(x, k_0)*F_39(x, k_0))
Eq(F_39(x, k_0), F_27(x, 1, k_0))
Pack JSON:
{"name": "row_placements_tracked_fusion", "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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": 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}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "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, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "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]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 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": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "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, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "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]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": true}}, {"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], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 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], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [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": 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0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 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], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 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], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}]}
Specification 4
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25429/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[6,x]
F[4,x] = F[1,x]+F[141,x]+F[5,x]
F[5,x] = F[6,x]*F[7,x]
F[6,x] = x
F[7,x] = F[1,x]+F[138,x]+F[140,x]+F[8,x]
F[8,x] = F[6,x]*F[9,x]
F[9,x] = F[10,x]+F[30,x]
F[10,x] = F[11,x]+F[4,x]
F[11,x] = F[12,x]+F[13,x]+F[15,x]+F[17,x]
F[12,x] = 0
F[13,x] = F[14,x]
F[14,x] = F[11,x]*F[6,x]
F[15,x] = F[16,x]
F[16,x] = F[11,x]*F[6,x]
F[17,x] = F[18,x]*F[6,x]
F[18,x] = F[19,x]+F[29,x]
F[19,x] = F[20,x]+F[28,x]
F[20,x] = F[1,x]+F[21,x]+F[27,x]
F[21,x] = F[22,x,1]
F[22,x,k[0]] = F[23,x,k[0]]*F[6,x]
F[23,x,k[0]] = F[1,x]+F[22,x,k[0]]+F[24,x,k[0]]
F[24,x,k[0]] = k[0]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[6,x]
F[26,x,k[0]] = 1/(-1+k[0])*(F[23,x,k[0]]*k[0]-F[23,x,1])
F[27,x] = F[19,x]*F[6,x]
F[28,x] = F[11,x]
F[29,x] = F[30,x]
F[30,x] = F[12,x]+F[133,x]+F[135,x]+F[137,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[6,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x,1]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[12,x]+F[132,x,k[0]]+F[37,x,k[0]]+F[39,x,k[0]]+F[41,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[36,x,k[0]]*F[6,x]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[36,x,k[0]]*F[6,x]
F[41,x,k[0]] = F[42,x,k[0]]*F[6,x]
F[42,x,k[0]] = F[117,x,k[0]]+F[119,x,k[0]]+F[12,x]+F[131,x,k[0]]+F[43,x,k[0]]+F[45,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]*F[6,x]
F[44,x,k[0]] = -k[0]*(F[35,x,1]-F[35,x,k[0]])/(-1+k[0])
F[45,x,k[0]] = F[46,x,k[0]]
F[47,x,k[0]] = F[106,x,k[0]]+F[108,x,k[0]]+F[116,x,k[0]]+F[12,x]+F[46,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]*F[58,x,k[0]]
F[49,x,k[0]] = F[101,x,k[0]]+F[50,x,k[0]]+F[78,x,k[0]]+F[94,x,k[0]]
F[50,x,k[0]] = F[51,x,k[0]]+F[59,x,k[0]]
F[51,x,k[0]] = F[52,x]+F[55,x,k[0]]
F[52,x] = F[1,x]+F[53,x]+F[54,x]
F[53,x] = F[10,x]*F[6,x]
F[54,x] = F[6,x]*F[7,x]
F[55,x,k[0]] = F[12,x]+F[40,x,k[0]]+F[56,x,k[0]]+F[57,x,k[0]]
F[56,x,k[0]] = F[47,x,k[0]]*F[6,x]
F[57,x,k[0]] = F[51,x,k[0]]*F[58,x,k[0]]
F[58,x,k[0]] = k[0]*x
F[59,x,k[0]] = F[60,x,k[0]]
F[60,x,k[0]] = F[6,x]*F[61,x,k[0]]*F[66,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[1,x]+F[63,x,k[0]]+F[64,x,k[0]]+F[65,x,k[0]]
F[63,x,k[0]] = F[6,x]*F[62,x,k[0]]
F[64,x,k[0]] = F[6,x]*F[61,x,k[0]]
F[65,x,k[0]] = F[58,x,k[0]]*F[62,x,k[0]]
F[66,x,k[0]] = F[67,x,k[0]]+F[70,x,k[0]]
F[67,x,k[0]] = F[1,x]+F[68,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[58,x,k[0]]*F[67,x,k[0]]
F[70,x,k[0]] = F[71,x]+F[74,x,k[0]]
F[71,x] = F[72,x]
F[72,x] = F[6,x]*F[73,x]
F[73,x] = F[1,x]+F[71,x]
F[74,x,k[0]] = F[12,x]+F[75,x,k[0]]+F[77,x,k[0]]
F[75,x,k[0]] = F[6,x]*F[76,x,k[0]]
F[76,x,k[0]] = F[68,x,k[0]]+F[74,x,k[0]]
F[77,x,k[0]] = F[58,x,k[0]]*F[70,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[6,x]*F[80,x,k[0]]
F[81,x,k[0]] = F[6,x]*F[80,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[83,x,k[0]] = F[82,x,k[0]]+F[88,x,k[0]]+F[91,x,k[0]]+F[92,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]+F[86,x,k[0]]
F[85,x,k[0]] = F[58,x,k[0]]*F[84,x,k[0]]
F[85,x,k[0]] = F[36,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0]]
F[87,x,k[0]] = F[6,x]*F[61,x,k[0]]*F[66,x,k[0]]*F[73,x]
F[88,x,k[0]] = F[89,x,k[0]]+F[90,x,k[0]]
F[89,x,k[0]] = F[19,x]+F[35,x,k[0]]
F[90,x,k[0]] = F[60,x,k[0]]
F[91,x,k[0]] = F[6,x]*F[84,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[6,x]*F[83,x,k[0]]
F[94,x,k[0]] = F[95,x,k[0]]
F[95,x,k[0]] = F[6,x]*F[96,x,k[0]]
F[97,x,k[0]] = F[6,x]*F[96,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[98,x,k[0]]
F[99,x,k[0]] = 1/(-1+k[0])*(F[100,x,k[0]]*k[0]-F[100,x,1])
F[100,x,k[0]] = F[47,x,k[0]]+F[7,x]
F[101,x,k[0]] = F[102,x,k[0]]*F[6,x]
F[103,x,k[0]] = F[102,x,k[0]]*F[6,x]
F[103,x,k[0]] = F[104,x,k[0]]
F[105,x,k[0]] = F[104,x,k[0]]+F[50,x,k[0]]
F[105,x,k[0]] = 1/(-1+k[0])*(F[50,x,k[0]]*k[0]-F[50,x,1])
F[106,x,k[0]] = F[107,x,k[0]]*F[6,x]
F[107,x,k[0]] = -k[0]*(F[47,x,1]-F[47,x,k[0]])/(-1+k[0])
F[108,x,k[0]] = F[109,x,k[0]]*F[6,x]
F[109,x,k[0]] = -k[0]*(F[110,x,1]-F[110,x,k[0]])/(-1+k[0])
F[50,x,k[0]] = F[110,x,k[0]]+F[111,x]
F[111,x] = F[112,x]+F[52,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x,1]
F[115,x,k[0]] = F[24,x,k[0]]*F[73,x]
F[116,x,k[0]] = F[50,x,k[0]]*F[58,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]*F[6,x]
F[118,x,k[0]] = -k[0]*(F[42,x,1]-F[42,x,k[0]])/(-1+k[0])
F[119,x,k[0]] = F[120,x,k[0]]*F[6,x]
F[120,x,k[0]] = -k[0]*(F[121,x,1]-F[121,x,k[0]])/(-1+k[0])
F[88,x,k[0]] = F[121,x,k[0]]+F[122,x]
F[122,x] = 1/F[6,x]*F[123,x]
F[123,x] = -F[1,x]-F[130,x]-F[27,x]+F[124,x]
F[124,x] = F[125,x]+F[129,x]
F[125,x] = F[0,x]+F[126,x]
F[126,x] = F[12,x]+F[127,x]+F[27,x]
F[127,x] = F[128,x]
F[128,x] = F[113,x]*F[6,x]
F[129,x] = F[126,x]
F[130,x] = F[111,x]*F[6,x]
F[131,x,k[0]] = F[58,x,k[0]]*F[88,x,k[0]]
F[132,x,k[0]] = F[58,x,k[0]]*F[89,x,k[0]]
F[133,x] = F[134,x]
F[134,x] = F[30,x]*F[6,x]
F[135,x] = F[136,x]*F[6,x]
F[136,x] = F[42,x,1]
F[137,x] = F[131,x,1]
F[138,x] = F[139,x]*F[6,x]
F[139,x] = F[100,x,1]
F[140,x] = F[116,x,1]
F[141,x] = F[10,x]*F[6,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{141}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right) F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x
F_{7}\! \left(x \right) = F_{1}\! \left(x \right)+F_{138}\! \left(x \right)+F_{140}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{6}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{30}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)+F_{15}\! \left(x \right)+F_{17}\! \left(x \right)
F_{12}\! \left(x \right) = 0
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{11}\! \left(x \right) F_{6}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{29}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{28}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)+F_{27}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x , 1\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{23}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{22}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = y F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{26}\! \left(x , y\right) = -\frac{-F_{23}\! \left(x , y\right) y +F_{23}\! \left(x , 1\right)}{-1+y}
F_{27}\! \left(x \right) = F_{19}\! \left(x \right) F_{6}\! \left(x \right)
F_{28}\! \left(x \right) = F_{11}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{12}\! \left(x \right)+F_{133}\! \left(x \right)+F_{135}\! \left(x \right)+F_{137}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{6}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x , 1\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{132}\! \left(x , y\right)+F_{37}\! \left(x , y\right)+F_{39}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{36}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{42}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{119}\! \left(x , y\right)+F_{12}\! \left(x \right)+F_{131}\! \left(x , y\right)+F_{43}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{44}\! \left(x , y\right) = -\frac{y \left(F_{35}\! \left(x , 1\right)-F_{35}\! \left(x , y\right)\right)}{-1+y}
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{108}\! \left(x , y\right)+F_{116}\! \left(x , y\right)+F_{12}\! \left(x \right)+F_{46}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{50}\! \left(x , y\right)+F_{78}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x \right)+F_{55}\! \left(x , y\right)
F_{52}\! \left(x \right) = F_{1}\! \left(x \right)+F_{53}\! \left(x \right)+F_{54}\! \left(x \right)
F_{53}\! \left(x \right) = F_{10}\! \left(x \right) F_{6}\! \left(x \right)
F_{54}\! \left(x \right) = F_{6}\! \left(x \right) F_{7}\! \left(x \right)
F_{55}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{40}\! \left(x , y\right)+F_{56}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{57}\! \left(x , y\right) = F_{51}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = y x
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{61}\! \left(x , y\right) F_{66}\! \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_{1}\! \left(x \right)+F_{63}\! \left(x , y\right)+F_{64}\! \left(x , y\right)+F_{65}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{61}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{62}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{67}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x \right)+F_{74}\! \left(x , y\right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{6}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{1}\! \left(x \right)+F_{71}\! \left(x \right)
F_{74}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{75}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{68}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{70}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{80}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{80}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{82}\! \left(x , y\right)+F_{88}\! \left(x , y\right)+F_{91}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{84}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{61}\! \left(x , y\right) F_{66}\! \left(x , y\right) F_{73}\! \left(x \right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{35}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{60}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{84}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{6}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = -\frac{-F_{100}\! \left(x , y\right) y +F_{100}\! \left(x , 1\right)}{-1+y}
F_{100}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = -\frac{-y F_{50}\! \left(x , y\right)+F_{50}\! \left(x , 1\right)}{-1+y}
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{107}\! \left(x , y\right) = -\frac{y \left(F_{47}\! \left(x , 1\right)-F_{47}\! \left(x , y\right)\right)}{-1+y}
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{109}\! \left(x , y\right) = -\frac{y \left(F_{110}\! \left(x , 1\right)-F_{110}\! \left(x , y\right)\right)}{-1+y}
F_{50}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{52}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x , 1\right)
F_{115}\! \left(x , y\right) = F_{24}\! \left(x , y\right) F_{73}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{58}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{118}\! \left(x , y\right) = -\frac{y \left(F_{42}\! \left(x , 1\right)-F_{42}\! \left(x , y\right)\right)}{-1+y}
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right) F_{6}\! \left(x \right)
F_{120}\! \left(x , y\right) = -\frac{y \left(F_{121}\! \left(x , 1\right)-F_{121}\! \left(x , y\right)\right)}{-1+y}
F_{88}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = \frac{F_{123}\! \left(x \right)}{F_{6}\! \left(x \right)}
F_{123}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{130}\! \left(x \right)-F_{27}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{129}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right)+F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{12}\! \left(x \right)+F_{127}\! \left(x \right)+F_{27}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{113}\! \left(x \right) F_{6}\! \left(x \right)
F_{129}\! \left(x \right) = F_{126}\! \left(x \right)
F_{130}\! \left(x \right) = F_{111}\! \left(x \right) F_{6}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{88}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{58}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{30}\! \left(x \right) F_{6}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{6}\! \left(x \right)
F_{136}\! \left(x \right) = F_{42}\! \left(x , 1\right)
F_{137}\! \left(x \right) = F_{131}\! \left(x , 1\right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{6}\! \left(x \right)
F_{139}\! \left(x \right) = F_{100}\! \left(x , 1\right)
F_{140}\! \left(x \right) = F_{116}\! \left(x , 1\right)
F_{141}\! \left(x \right) = F_{10}\! \left(x \right) F_{6}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_6(x))
Eq(F_4(x), F_1(x) + F_141(x) + F_5(x))
Eq(F_5(x), F_6(x)*F_7(x))
Eq(F_6(x), x)
Eq(F_7(x), F_1(x) + F_138(x) + F_140(x) + F_8(x))
Eq(F_8(x), F_6(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_30(x))
Eq(F_10(x), F_11(x) + F_4(x))
Eq(F_11(x), F_12(x) + F_13(x) + F_15(x) + F_17(x))
Eq(F_12(x), 0)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_11(x)*F_6(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_11(x)*F_6(x))
Eq(F_17(x), F_18(x)*F_6(x))
Eq(F_18(x), F_19(x) + F_29(x))
Eq(F_19(x), F_20(x) + F_28(x))
Eq(F_20(x), F_1(x) + F_21(x) + F_27(x))
Eq(F_21(x), F_22(x, 1))
Eq(F_22(x, k_0), F_23(x, k_0)*F_6(x))
Eq(F_23(x, k_0), F_1(x) + F_22(x, k_0) + F_24(x, k_0))
Eq(F_24(x, k_0), k_0*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_6(x))
Eq(F_26(x, k_0), (k_0*F_23(x, k_0) - F_23(x, 1))/(k_0 - 1))
Eq(F_27(x), F_19(x)*F_6(x))
Eq(F_28(x), F_11(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_12(x) + F_133(x) + F_135(x) + F_137(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_6(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x, 1))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x) + F_132(x, k_0) + F_37(x, k_0) + F_39(x, k_0) + F_41(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_36(x, k_0)*F_6(x))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_36(x, k_0)*F_6(x))
Eq(F_41(x, k_0), F_42(x, k_0)*F_6(x))
Eq(F_42(x, k_0), F_117(x, k_0) + F_119(x, k_0) + F_12(x) + F_131(x, k_0) + F_43(x, k_0) + F_45(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0)*F_6(x))
Eq(F_44(x, k_0), -F_35(x, 1) + (k_0*F_35(x, k_0) - F_35(x, 1))/(k_0 - 1))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_47(x, k_0), F_106(x, k_0) + F_108(x, k_0) + F_116(x, k_0) + F_12(x) + F_46(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_49(x, k_0)*F_58(x, k_0))
Eq(F_49(x, k_0), F_101(x, k_0) + F_50(x, k_0) + F_78(x, k_0) + F_94(x, k_0))
Eq(F_50(x, k_0), F_51(x, k_0) + F_59(x, k_0))
Eq(F_51(x, k_0), F_52(x) + F_55(x, k_0))
Eq(F_52(x), F_1(x) + F_53(x) + F_54(x))
Eq(F_53(x), F_10(x)*F_6(x))
Eq(F_54(x), F_6(x)*F_7(x))
Eq(F_55(x, k_0), F_12(x) + F_40(x, k_0) + F_56(x, k_0) + F_57(x, k_0))
Eq(F_56(x, k_0), F_47(x, k_0)*F_6(x))
Eq(F_57(x, k_0), F_51(x, k_0)*F_58(x, k_0))
Eq(F_58(x, k_0), k_0*x)
Eq(F_59(x, k_0), F_60(x, k_0))
Eq(F_60(x, k_0), F_6(x)*F_61(x, k_0)*F_66(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_1(x) + F_63(x, k_0) + F_64(x, k_0) + F_65(x, k_0))
Eq(F_63(x, k_0), F_6(x)*F_62(x, k_0))
Eq(F_64(x, k_0), F_6(x)*F_61(x, k_0))
Eq(F_65(x, k_0), F_58(x, k_0)*F_62(x, k_0))
Eq(F_66(x, k_0), F_67(x, k_0) + F_70(x, k_0))
Eq(F_67(x, k_0), F_1(x) + F_68(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_58(x, k_0)*F_67(x, k_0))
Eq(F_70(x, k_0), F_71(x) + F_74(x, k_0))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_6(x)*F_73(x))
Eq(F_73(x), F_1(x) + F_71(x))
Eq(F_74(x, k_0), F_12(x) + F_75(x, k_0) + F_77(x, k_0))
Eq(F_75(x, k_0), F_6(x)*F_76(x, k_0))
Eq(F_76(x, k_0), F_68(x, k_0) + F_74(x, k_0))
Eq(F_77(x, k_0), F_58(x, k_0)*F_70(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_6(x)*F_80(x, k_0))
Eq(F_81(x, k_0), F_6(x)*F_80(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_83(x, k_0), F_82(x, k_0) + F_88(x, k_0) + F_91(x, k_0) + F_92(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0) + F_86(x, k_0))
Eq(F_85(x, k_0), F_58(x, k_0)*F_84(x, k_0))
Eq(F_85(x, k_0), F_36(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0))
Eq(F_87(x, k_0), F_6(x)*F_61(x, k_0)*F_66(x, k_0)*F_73(x))
Eq(F_88(x, k_0), F_89(x, k_0) + F_90(x, k_0))
Eq(F_89(x, k_0), F_19(x) + F_35(x, k_0))
Eq(F_90(x, k_0), F_60(x, k_0))
Eq(F_91(x, k_0), F_6(x)*F_84(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_6(x)*F_83(x, k_0))
Eq(F_94(x, k_0), F_95(x, k_0))
Eq(F_95(x, k_0), F_6(x)*F_96(x, k_0))
Eq(F_97(x, k_0), F_6(x)*F_96(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_98(x, k_0))
Eq(F_99(x, k_0), (k_0*F_100(x, k_0) - F_100(x, 1))/(k_0 - 1))
Eq(F_100(x, k_0), F_47(x, k_0) + F_7(x))
Eq(F_101(x, k_0), F_102(x, k_0)*F_6(x))
Eq(F_103(x, k_0), F_102(x, k_0)*F_6(x))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_105(x, k_0), F_104(x, k_0) + F_50(x, k_0))
Eq(F_105(x, k_0), (k_0*F_50(x, k_0) - F_50(x, 1))/(k_0 - 1))
Eq(F_106(x, k_0), F_107(x, k_0)*F_6(x))
Eq(F_107(x, k_0), -F_47(x, 1) + (k_0*F_47(x, k_0) - F_47(x, 1))/(k_0 - 1))
Eq(F_108(x, k_0), F_109(x, k_0)*F_6(x))
Eq(F_109(x, k_0), -F_110(x, 1) + (k_0*F_110(x, k_0) - F_110(x, 1))/(k_0 - 1))
Eq(F_50(x, k_0), F_110(x, k_0) + F_111(x))
Eq(F_111(x), F_112(x) + F_52(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x, 1))
Eq(F_115(x, k_0), F_24(x, k_0)*F_73(x))
Eq(F_116(x, k_0), F_50(x, k_0)*F_58(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0)*F_6(x))
Eq(F_118(x, k_0), -F_42(x, 1) + (k_0*F_42(x, k_0) - F_42(x, 1))/(k_0 - 1))
Eq(F_119(x, k_0), F_120(x, k_0)*F_6(x))
Eq(F_120(x, k_0), -F_121(x, 1) + (k_0*F_121(x, k_0) - F_121(x, 1))/(k_0 - 1))
Eq(F_88(x, k_0), F_121(x, k_0) + F_122(x))
Eq(F_122(x), F_123(x)/F_6(x))
Eq(F_123(x), -F_1(x) + F_124(x) - F_130(x) - F_27(x))
Eq(F_124(x), F_125(x) + F_129(x))
Eq(F_125(x), F_0(x) + F_126(x))
Eq(F_126(x), F_12(x) + F_127(x) + F_27(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_113(x)*F_6(x))
Eq(F_129(x), F_126(x))
Eq(F_130(x), F_111(x)*F_6(x))
Eq(F_131(x, k_0), F_58(x, k_0)*F_88(x, k_0))
Eq(F_132(x, k_0), F_58(x, k_0)*F_89(x, k_0))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_30(x)*F_6(x))
Eq(F_135(x), F_136(x)*F_6(x))
Eq(F_136(x), F_42(x, 1))
Eq(F_137(x), F_131(x, 1))
Eq(F_138(x), F_139(x)*F_6(x))
Eq(F_139(x), F_100(x, 1))
Eq(F_140(x), F_116(x, 1))
Eq(F_141(x), F_10(x)*F_6(x))
Pack JSON:
{"name": "point_and_col_placements_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.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.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": 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}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "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, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "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, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "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]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 3], [0, 0]]}, {"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, 3], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [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, 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, 3], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 3], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 3], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 3], [0, 1], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 3], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1], "pos": [[0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [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, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 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