01342_01432_04132_10342_10432_13042_13402_14032_14302_40132_41032_41302
Counting sequence:
1, 1, 2, 6, 24, 108, 512, 2492, 12309, 61340, 307402, 1546284, 7798059, 39398169, 199317340, 1009367136, 5115493802, 25941100784, 131613126419, 668006784243, 3391592613714, 17224420323906, 87495465476585, 444541142254911, 2258978364429568, 11480906295786610, 58357432861578943, 296664298047059512, 1508265174276529746, 7668818840806117719, 38995395773070746214, 198302664759180522219, 1008488358222359470345, 5129056761892137427516, 26087105490740561263842, 132688670810896201356722, 674931024694707257373758, 3433213380758730981085913, 17464514020554078042302426, 88843392235347445765617648, 451965661046298493398072357, 2299303589226939049742417725, 11697600090166203252939544781, 59512186096556080301710428078, 302777023233282650464508960753, 1540448130459561141067761271546, 7837503451391983066208105260364, 39876251198549616148292376403845, 202887963104940167910538509148784, 1032293377769151194168340243674451, 5252359769843672205905814324078906, 26724516898148956186225201387293236, 135978102178845505378895574194161228, 691881120119793990633977891060175778, 3520441100592803915166923766679354342, 17912884162664154712358731007730169655, 91145774993455659162219860829190728088, 463777778602961433852975172316873992368, 2359855980388780757681213518045996752102, 12007789030916777763780124413645584768236, 61100170089858402303174837884444622369601, 310901958808037249387642572496325501645012, 1581998356459193820734391937462158079294866, 8049891043264031049572682406411865699465158, 40961444694512361339704612669095540895201574, 208430712533973993454390165618667973444232868, 1060594202036925507819448058236735431457615389, 5396818144287254662249302371253275493729669477, 27461688632545278293624969786521622745336222872, 139738970437195415241524208113237614035423521614, 711063879246250265342228315738023237213694007471, 3618265347208107054515152653848851451577718848864, 18411656661523497494632583899167760384583875118936, 93688423270997342928404505772454873479976441844446, 476737760986402163131506188044029610901815792124645, 2425904449617844834071581432580565335279990389891972, 12344352241907216170190796289262718994588818344623245, 62814999307435096271811695453263926915151377009285765, 319638304314741201538909664308303366982634664911197750, 1626502183713232061121207185404415087414314195077621647, 8276578309354338464054003643425808216199988438614166244, 42116020180043692319350339463882726537542579747720177871, 214310828969008900752551548533792569619528825938571416020, 1090538944393254890263056545993842699824218903560473883377, 5549303708246321409932045026033921236383826462663705398925, 28238137015444345440638942801165805590529012556902823094505, 143692401566952519446686557661549975624136153601210366364255, 731192561027382662923970347426309947644278282222064114695065, 3720745021876622232877692905356185967415916250362005978436473, 18933383192733888441639562313461299003512374022080151273860034, 96344449057991052906123229899861706672969538054148357124892862, 490258708054433459766127554493967032693948425312580266224068861, 2494732991487942672640504414227331004624665144638163170728320549, 12694714831860897640397052335367713720753928734683395390028874786, 64598427264235642913414674270152513891772659469979472852782217383, 328716154149868872845277260432651926923061517936826876330690065303, 1672708444401542706593278502576191128329759312613594233506361835201, 8511763415047030872822391626702535259891675647091233983803080769510, 43313065680000542604956139390790578751375973053276981355139792710402, 220403447569437154180027449993527173101433214883427981598630259537117, 1121548132775897075626818804098531444844137579659249531923819818976705
Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://permpal.com/tree/24707/
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[27,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[27,x]*F[8,x]
F[8,x] = F[15,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[11,x,1]
F[12,x,k[0]] = F[11,x,k[0]]*F[14,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]
F[13,x,k[0]] = (x*F[13,x,k[0]]^3*k[0]+(2*x*k[0]-1)*F[13,x,k[0]]^2+(x^2*k[0]^2-x*k[0]+1)*F[13,x,k[0]]+x^2*k[0]^2)*(1+F[13,x,k[0]])
F[14,x,k[0]] = k[0]*x
F[15,x] = F[16,x]+F[78,x]
F[16,x] = -F[63,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[27,x]
F[19,x] = F[20,x]+F[59,x]
F[20,x] = F[21,x]+F[58,x]
F[21,x] = F[22,x]+F[40,x]
F[22,x] = F[23,x]+F[36,x]
F[23,x] = F[24,x]+F[31,x]
F[24,x] = F[0,x]+F[25,x]
F[25,x] = F[26,x]
F[26,x] = F[23,x]*F[27,x]*F[28,x]
F[27,x] = x
F[28,x] = F[1,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[28,x]^2*F[27,x]
F[31,x] = F[2,x]*F[32,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = 1+x*F[33,x]^4+F[33,x]^2*(x^2-2*x+3)+F[33,x]^3*(-1-x)+(-2+2*x)*F[33,x]
F[34,x] = F[35,x]
F[35,x] = F[27,x]*F[28,x]*F[32,x]*F[33,x]
F[36,x] = F[28,x]*F[37,x]
F[37,x] = -F[0,x]+F[38,x]
F[38,x] = 1/F[27,x]*F[39,x]
F[39,x] = F[2,x]
F[40,x] = F[41,x]+F[55,x]
F[41,x] = F[42,x]+F[46,x]
F[42,x] = -F[24,x]+F[43,x]
F[43,x] = F[38,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[20,x]*F[27,x]
F[46,x] = F[2,x]*F[47,x]
F[47,x] = F[48,x,1]
F[48,x,k[0]] = -k[0]*(F[49,x,1]-F[49,x,k[0]])/(-1+k[0])
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[14,x,k[0]]*F[33,x]*F[51,x,k[0]]*F[52,x,k[0]]
F[51,x,k[0]] = F[33,x]+F[49,x,k[0]]
F[52,x,k[0]] = F[1,x]+F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[52,x,k[0]]^2*F[14,x,k[0]]
F[55,x] = F[37,x]*F[56,x]
F[56,x] = F[57,x,1]
F[57,x,k[0]] = -k[0]*(F[53,x,1]-F[53,x,k[0]])/(-1+k[0])
F[58,x] = F[28,x]*F[44,x]
F[59,x] = F[28,x]*F[60,x]
F[60,x] = -F[43,x]+F[61,x]
F[61,x] = 1/F[27,x]*F[62,x]
F[62,x] = F[37,x]
F[63,x] = F[64,x]
F[64,x] = F[27,x]*F[65,x]
F[65,x] = -F[66,x]+F[21,x]
F[66,x] = F[67,x]+F[76,x]
F[67,x] = F[68,x]+F[72,x]
F[68,x] = F[69,x]+F[70,x]
F[69,x] = -2+x^2+8*x+F[69,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[69,x]
F[70,x] = F[71,x]
F[71,x] = F[27,x]*F[28,x]*F[67,x]
F[72,x] = F[73,x]*F[74,x]
F[73,x] = (x^2+4*x-1)*F[73,x]^2+(4*x^2-5*x+2)*F[73,x]+4*x^2-x
F[74,x] = F[75,x,1]
F[75,x,k[0]] = (F[52,x,k[0]]*k[0]-F[52,x,1])/(-1+k[0])
F[76,x] = F[74,x]*F[77,x]
F[77,x] = -F[69,x]+F[38,x]
F[78,x] = F[79,x]+F[85,x]
F[79,x] = F[80,x]
F[80,x] = -F[84,x]+F[81,x]
F[81,x] = -F[69,x]+F[82,x]
F[82,x] = 1/F[27,x]*F[83,x]
F[83,x] = F[2,x]
F[84,x] = (1+F[84,x])*(x*F[84,x]^3+(2*x-1)*F[84,x]^2+(x^2-x+1)*F[84,x]+x^2)
F[85,x] = F[86,x]
F[86,x] = F[2,x]*F[27,x]*F[87,x]
F[87,x] = F[88,x,1]
F[88,x,k[0]] = (F[89,x,k[0]]*k[0]-F[89,x,1])/(-1+k[0])
F[11,x,k[0]] = F[52,x,k[0]]+F[89,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{27}\! \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_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{27}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{15}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x , 1\right)
F_{12}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{14}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = x^{2} F_{13}\! \left(x , y\right)^{2} y^{2}+x F_{13}\! \left(x , y\right)^{4} y +2 x^{2} F_{13}\! \left(x , y\right) y^{2}+3 x F_{13}\! \left(x , y\right)^{3} y +x^{2} y^{2}+x F_{13}\! \left(x , y\right)^{2} y -x F_{13}\! \left(x , y\right) y -F_{13}\! \left(x , y\right)^{3}+F_{13}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = y x
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{78}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{27}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{59}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{58}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{40}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{36}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{31}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{23}\! \left(x \right) F_{27}\! \left(x \right) F_{28}\! \left(x \right)
F_{27}\! \left(x \right) = x
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28} \left(x \right)^{2} F_{27}\! \left(x \right)
F_{31}\! \left(x \right) = F_{2}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = x F_{33} \left(x \right)^{4}+x^{2} F_{33} \left(x \right)^{2}-F_{33} \left(x \right)^{3} x -2 x F_{33} \left(x \right)^{2}-F_{33} \left(x \right)^{3}+2 F_{33}\! \left(x \right) x +3 F_{33} \left(x \right)^{2}-2 F_{33}\! \left(x \right)+1
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{27}\! \left(x \right) F_{28}\! \left(x \right) F_{32}\! \left(x \right) F_{33}\! \left(x \right)
F_{36}\! \left(x \right) = F_{28}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = \frac{F_{39}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{55}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)+F_{46}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{38}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right) F_{27}\! \left(x \right)
F_{46}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x , 1\right)
F_{48}\! \left(x , y\right) = -\frac{y \left(F_{49}\! \left(x , 1\right)-F_{49}\! \left(x , y\right)\right)}{-1+y}
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{33}\! \left(x \right) F_{51}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{33}\! \left(x \right)+F_{49}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{52}\! \left(x , y\right)^{2} F_{14}\! \left(x , y\right)
F_{55}\! \left(x \right) = F_{37}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x , 1\right)
F_{57}\! \left(x , y\right) = -\frac{y \left(F_{53}\! \left(x , 1\right)-F_{53}\! \left(x , y\right)\right)}{-1+y}
F_{58}\! \left(x \right) = F_{28}\! \left(x \right) F_{44}\! \left(x \right)
F_{59}\! \left(x \right) = F_{28}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{37}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{27}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{21}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{76}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{72}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{69}\! \left(x \right) = x^{2} F_{69} \left(x \right)^{2}+2 x^{2} F_{69}\! \left(x \right)+4 x F_{69} \left(x \right)^{2}+x^{2}-13 x F_{69}\! \left(x \right)-F_{69} \left(x \right)^{2}+8 x +4 F_{69}\! \left(x \right)-2
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{27}\! \left(x \right) F_{28}\! \left(x \right) F_{67}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right) F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = x^{2} F_{73} \left(x \right)^{2}+4 x^{2} F_{73}\! \left(x \right)+4 x F_{73} \left(x \right)^{2}+4 x^{2}-5 x F_{73}\! \left(x \right)-F_{73} \left(x \right)^{2}-x +2 F_{73}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{75}\! \left(x , y\right) = -\frac{-F_{52}\! \left(x , y\right) y +F_{52}\! \left(x , 1\right)}{-1+y}
F_{76}\! \left(x \right) = F_{74}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{38}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)+F_{85}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{27}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{2}\! \left(x \right)
F_{84}\! \left(x \right) = x F_{84} \left(x \right)^{4}+x^{2} F_{84} \left(x \right)^{2}+3 x F_{84} \left(x \right)^{3}+2 x^{2} F_{84}\! \left(x \right)+x F_{84} \left(x \right)^{2}-F_{84} \left(x \right)^{3}+x^{2}-F_{84}\! \left(x \right) x +F_{84}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{2}\! \left(x \right) F_{27}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x , 1\right)
F_{88}\! \left(x , y\right) = -\frac{-y F_{89}\! \left(x , y\right)+F_{89}\! \left(x , 1\right)}{-1+y}
F_{11}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_27(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_27(x)*F_8(x))
Eq(F_8(x), F_15(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_11(x, 1))
Eq(F_12(x, k_0), F_11(x, k_0)*F_14(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0))
Eq(F_13(x, k_0), k_0*x*(F_13(x, k_0) + 1)**4 + (-k_0*x - 1)*(F_13(x, k_0) + 1)**3 + (2*k_0*x - 3)*(F_13(x, k_0) + 1) + (F_13(x, k_0) + 1)**2*(k_0**2*x**2 - 2*k_0*x + 3) + F_13(x, k_0) + 1)
Eq(F_14(x, k_0), k_0*x)
Eq(F_15(x), F_16(x) + F_78(x))
Eq(F_16(x), F_17(x) - F_63(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_27(x))
Eq(F_19(x), F_20(x) + F_59(x))
Eq(F_20(x), F_21(x) + F_58(x))
Eq(F_21(x), F_22(x) + F_40(x))
Eq(F_22(x), F_23(x) + F_36(x))
Eq(F_23(x), F_24(x) + F_31(x))
Eq(F_24(x), F_0(x) + F_25(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_23(x)*F_27(x)*F_28(x))
Eq(F_27(x), x)
Eq(F_28(x), F_1(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_27(x)*F_28(x)**2)
Eq(F_31(x), F_2(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), x*F_33(x)**4 + (-x - 1)*F_33(x)**3 + (2*x - 2)*F_33(x) + (x**2 - 2*x + 3)*F_33(x)**2 + 1)
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_27(x)*F_28(x)*F_32(x)*F_33(x))
Eq(F_36(x), F_28(x)*F_37(x))
Eq(F_37(x), -F_0(x) + F_38(x))
Eq(F_38(x), F_39(x)/F_27(x))
Eq(F_39(x), F_2(x))
Eq(F_40(x), F_41(x) + F_55(x))
Eq(F_41(x), F_42(x) + F_46(x))
Eq(F_42(x), -F_24(x) + F_43(x))
Eq(F_43(x), F_38(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_20(x)*F_27(x))
Eq(F_46(x), F_2(x)*F_47(x))
Eq(F_47(x), F_48(x, 1))
Eq(F_48(x, k_0), -F_49(x, 1) + (-k_0*F_49(x, k_0) + F_49(x, 1))/(1 - k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_14(x, k_0)*F_33(x)*F_51(x, k_0)*F_52(x, k_0))
Eq(F_51(x, k_0), F_33(x) + F_49(x, k_0))
Eq(F_52(x, k_0), F_1(x) + F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_14(x, k_0)*F_52(x, k_0)**2)
Eq(F_55(x), F_37(x)*F_56(x))
Eq(F_56(x), F_57(x, 1))
Eq(F_57(x, k_0), -F_53(x, 1) + (-k_0*F_53(x, k_0) + F_53(x, 1))/(1 - k_0))
Eq(F_58(x), F_28(x)*F_44(x))
Eq(F_59(x), F_28(x)*F_60(x))
Eq(F_60(x), -F_43(x) + F_61(x))
Eq(F_61(x), F_62(x)/F_27(x))
Eq(F_62(x), F_37(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_27(x)*F_65(x))
Eq(F_65(x), F_21(x) - F_66(x))
Eq(F_66(x), F_67(x) + F_76(x))
Eq(F_67(x), F_68(x) + F_72(x))
Eq(F_68(x), F_69(x) + F_70(x))
Eq(F_69(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_69(x)**2 + (2*x**2 - 13*x + 4)*F_69(x) - 2)
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_27(x)*F_28(x)*F_67(x))
Eq(F_72(x), F_73(x)*F_74(x))
Eq(F_73(x), x**2 + 8*x + (F_73(x) + 1)**2*(x**2 + 4*x - 1) + (F_73(x) + 1)*(2*x**2 - 13*x + 3) + F_73(x) - 2)
Eq(F_74(x), F_75(x, 1))
Eq(F_75(x, k_0), (-k_0*F_52(x, k_0) + F_52(x, 1))/(1 - k_0))
Eq(F_76(x), F_74(x)*F_77(x))
Eq(F_77(x), F_38(x) - F_69(x))
Eq(F_78(x), F_79(x) + F_85(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_81(x) - F_84(x))
Eq(F_81(x), -F_69(x) + F_82(x))
Eq(F_82(x), F_83(x)/F_27(x))
Eq(F_83(x), F_2(x))
Eq(F_84(x), x*(F_84(x) + 1)**4 + (-x - 1)*(F_84(x) + 1)**3 + (2*x - 3)*(F_84(x) + 1) + (F_84(x) + 1)**2*(x**2 - 2*x + 3) + F_84(x) + 1)
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_2(x)*F_27(x)*F_87(x))
Eq(F_87(x), F_88(x, 1))
Eq(F_88(x, k_0), (-k_0*F_89(x, k_0) + F_89(x, 1))/(1 - k_0))
Eq(F_11(x, k_0), F_52(x, k_0) + F_89(x, k_0))
Pack JSON:
{"name": "point_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_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, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [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, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [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, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [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", "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": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "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, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 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[{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 1, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 1], [1, 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], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [1, 0], [1, 1]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 0], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 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, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 1], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1], "pos": [[0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24766/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[129,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = F[125,x]+F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = -F[58,x]+F[17,x]
F[17,x] = F[18,x]+F[55,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = 1+x*F[19,x]^4+F[19,x]^2*(x^2-2*x+3)+F[19,x]^3*(-1-x)+(-2+2*x)*F[19,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[17,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[26,x]+F[50,x]
F[26,x] = 1/F[11,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[33,x]+F[32,x]
F[32,x] = -F[0,x]+F[9,x]
F[33,x] = (1+F[33,x])*(x*F[33,x]^3+(2*x-1)*F[33,x]^2+(x^2-x+1)*F[33,x]+x^2)
F[34,x] = -F[37,x]+F[35,x]
F[35,x] = 1/F[11,x]*F[36,x]
F[36,x] = F[32,x]
F[37,x] = F[38,x]+F[9,x]
F[38,x] = -F[45,x]+F[39,x]
F[39,x] = 1/F[11,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[11,x]*F[42,x]*F[44,x]
F[42,x] = 1/F[11,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = F[33,x]+F[45,x]
F[45,x] = F[19,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]^2*F[11,x]
F[49,x] = F[1,x]+F[47,x]
F[50,x] = F[19,x]*F[49,x]*F[51,x]*F[52,x]
F[51,x] = (x^2+4*x-1)*F[51,x]^2+(4*x^2-5*x+2)*F[51,x]+4*x^2-x
F[52,x] = F[49,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[49,x]^2*F[11,x]*F[52,x]
F[55,x] = -F[23,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[31,x]
F[58,x] = -F[23,x]+F[59,x]
F[59,x] = 1/F[11,x]/F[64,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[67,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[11,x]*F[22,x]*F[64,x]
F[64,x] = F[1,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[11,x]*F[64,x]
F[67,x] = F[64,x]*F[68,x]
F[68,x] = F[11,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[11,x]*F[71,x]
F[71,x] = F[72,x]+F[89,x]
F[72,x] = F[73,x]+F[75,x]
F[73,x] = F[74,x]
F[74,x] = F[11,x]*F[52,x]
F[75,x] = F[76,x]
F[76,x] = F[11,x]*F[77,x]
F[77,x] = F[78,x]+F[84,x]
F[78,x] = F[33,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[11,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[49,x]*F[78,x]
F[83,x] = F[19,x]*F[78,x]
F[84,x] = F[85,x]
F[85,x] = F[11,x]*F[49,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[52,x]*F[78,x]
F[88,x] = F[19,x]*F[77,x]
F[89,x] = F[68,x]+F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[11,x]*F[46,x]
F[92,x] = F[93,x]
F[93,x] = F[11,x]*F[49,x]*F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[69,x]+F[92,x]
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = F[106,x]+F[99,x]
F[99,x] = F[100,x]*F[89,x]
F[100,x] = F[101,x]+F[19,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[83,x]
F[104,x] = F[105,x]*F[49,x]
F[105,x] = F[49,x]+F[78,x]
F[106,x] = F[105,x]*F[107,x]
F[107,x] = F[108,x]+F[68,x]
F[108,x] = F[109,x]+F[69,x]
F[109,x] = F[110,x]
F[110,x] = F[11,x]*F[111,x]
F[111,x] = F[112,x]+F[122,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[33,x]*F[72,x]
F[115,x] = F[116,x]
F[116,x] = F[11,x]*F[117,x]
F[117,x] = F[118,x]+F[120,x]
F[118,x] = F[119,x]*F[52,x]
F[119,x] = F[46,x]+F[79,x]
F[120,x] = F[121,x]*F[49,x]
F[121,x] = F[53,x]+F[84,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]+F[96,x]
F[124,x] = F[49,x]*F[90,x]
F[125,x] = F[126,x]*F[52,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]+F[2,x]
F[128,x] = -F[2,x]+F[5,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[19,x]*F[5,x]
F[131,x] = F[132,x]
F[132,x] = F[11,x]*F[133,x]*F[49,x]
F[133,x] = 1/F[11,x]*F[134,x]
F[134,x] = F[128,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_{11}\! \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_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{129}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{125}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = x F_{19} \left(x \right)^{4}+x^{2} F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3} x -2 x F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3}+2 F_{19}\! \left(x \right) x +3 F_{19} \left(x \right)^{2}-2 F_{19}\! \left(x \right)+1
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{50}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{33}\! \left(x \right) = x F_{33} \left(x \right)^{4}+x^{2} F_{33} \left(x \right)^{2}+3 x F_{33} \left(x \right)^{3}+2 x^{2} F_{33}\! \left(x \right)+x F_{33} \left(x \right)^{2}-F_{33} \left(x \right)^{3}+x^{2}-F_{33}\! \left(x \right) x +F_{33}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{32}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{9}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{11}\! \left(x \right) F_{42}\! \left(x \right) F_{44}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{33}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{19}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{49}\! \left(x \right) = F_{1}\! \left(x \right)+F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right) F_{51}\! \left(x \right) F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+4 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+4 x^{2}-5 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}-x +2 F_{51}\! \left(x \right)
F_{52}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{49} \left(x \right)^{2} F_{11}\! \left(x \right) F_{52}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{31}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right) F_{64}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{1}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{11}\! \left(x \right) F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{64}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{11}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{11}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{89}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{11}\! \left(x \right) F_{52}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{11}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{84}\! \left(x \right)
F_{78}\! \left(x \right) = F_{33}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{11}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{49}\! \left(x \right) F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{78}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{52}\! \left(x \right) F_{78}\! \left(x \right)
F_{88}\! \left(x \right) = F_{19}\! \left(x \right) F_{77}\! \left(x \right)
F_{89}\! \left(x \right) = F_{68}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{11}\! \left(x \right) F_{46}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{69}\! \left(x \right)+F_{92}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{106}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{89}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{19}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{83}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{49}\! \left(x \right)
F_{105}\! \left(x \right) = F_{49}\! \left(x \right)+F_{78}\! \left(x \right)
F_{106}\! \left(x \right) = F_{105}\! \left(x \right) F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{68}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{69}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{122}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{33}\! \left(x \right) F_{72}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{11}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{120}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{52}\! \left(x \right)
F_{119}\! \left(x \right) = F_{46}\! \left(x \right)+F_{79}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{49}\! \left(x \right)
F_{121}\! \left(x \right) = F_{53}\! \left(x \right)+F_{84}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{96}\! \left(x \right)
F_{124}\! \left(x \right) = F_{49}\! \left(x \right) F_{90}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{52}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{2}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{11}\! \left(x \right) F_{133}\! \left(x \right) F_{49}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{128}\! \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_11(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_11(x)*F_7(x))
Eq(F_7(x), F_129(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), F_125(x) + F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) - F_58(x))
Eq(F_17(x), F_18(x) + F_55(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), x*F_19(x)**4 + (-x - 1)*F_19(x)**3 + (2*x - 2)*F_19(x) + (x**2 - 2*x + 3)*F_19(x)**2 + 1)
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_17(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_50(x))
Eq(F_26(x), F_27(x)/F_11(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/F_11(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_33(x))
Eq(F_32(x), -F_0(x) + F_9(x))
Eq(F_33(x), x*(F_33(x) + 1)**4 + (-x - 1)*(F_33(x) + 1)**3 + (2*x - 3)*(F_33(x) + 1) + (F_33(x) + 1)**2*(x**2 - 2*x + 3) + F_33(x) + 1)
Eq(F_34(x), F_35(x) - F_37(x))
Eq(F_35(x), F_36(x)/F_11(x))
Eq(F_36(x), F_32(x))
Eq(F_37(x), F_38(x) + F_9(x))
Eq(F_38(x), F_39(x) - F_45(x))
Eq(F_39(x), F_40(x)/F_11(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_11(x)*F_42(x)*F_44(x))
Eq(F_42(x), F_43(x)/F_11(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), F_33(x) + F_45(x))
Eq(F_45(x), F_19(x)*F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_11(x)*F_49(x)**2)
Eq(F_49(x), F_1(x) + F_47(x))
Eq(F_50(x), F_19(x)*F_49(x)*F_51(x)*F_52(x))
Eq(F_51(x), x**2 + 8*x + (F_51(x) + 1)**2*(x**2 + 4*x - 1) + (F_51(x) + 1)*(2*x**2 - 13*x + 3) + F_51(x) - 2)
Eq(F_52(x), F_49(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_11(x)*F_49(x)**2*F_52(x))
Eq(F_55(x), -F_23(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_31(x))
Eq(F_58(x), -F_23(x) + F_59(x))
Eq(F_59(x), F_60(x)/(F_11(x)*F_64(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_67(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_11(x)*F_22(x)*F_64(x))
Eq(F_64(x), F_1(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_11(x)*F_64(x))
Eq(F_67(x), F_64(x)*F_68(x))
Eq(F_68(x), F_11(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_11(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_89(x))
Eq(F_72(x), F_73(x) + F_75(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_11(x)*F_52(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_11(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_84(x))
Eq(F_78(x), F_33(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_11(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_49(x)*F_78(x))
Eq(F_83(x), F_19(x)*F_78(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_11(x)*F_49(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_52(x)*F_78(x))
Eq(F_88(x), F_19(x)*F_77(x))
Eq(F_89(x), F_68(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_11(x)*F_46(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_11(x)*F_49(x)*F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_69(x) + F_92(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_106(x) + F_99(x))
Eq(F_99(x), F_100(x)*F_89(x))
Eq(F_100(x), F_101(x) + F_19(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_83(x))
Eq(F_104(x), F_105(x)*F_49(x))
Eq(F_105(x), F_49(x) + F_78(x))
Eq(F_106(x), F_105(x)*F_107(x))
Eq(F_107(x), F_108(x) + F_68(x))
Eq(F_108(x), F_109(x) + F_69(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_11(x)*F_111(x))
Eq(F_111(x), F_112(x) + F_122(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_33(x)*F_72(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_11(x)*F_117(x))
Eq(F_117(x), F_118(x) + F_120(x))
Eq(F_118(x), F_119(x)*F_52(x))
Eq(F_119(x), F_46(x) + F_79(x))
Eq(F_120(x), F_121(x)*F_49(x))
Eq(F_121(x), F_53(x) + F_84(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x) + F_96(x))
Eq(F_124(x), F_49(x)*F_90(x))
Eq(F_125(x), F_126(x)*F_52(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) + F_2(x))
Eq(F_128(x), -F_2(x) + F_5(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_19(x)*F_5(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_11(x)*F_133(x)*F_49(x))
Eq(F_133(x), F_134(x)/F_11(x))
Eq(F_134(x), F_128(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, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "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:
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{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 5], [0, 5]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"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]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24895/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[129,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = F[125,x]+F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = -F[58,x]+F[17,x]
F[17,x] = F[18,x]+F[55,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = 1+x*F[19,x]^4+F[19,x]^2*(x^2-2*x+3)+F[19,x]^3*(-1-x)+(-2+2*x)*F[19,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[17,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[26,x]+F[50,x]
F[26,x] = 1/F[11,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[34,x]+F[29,x]
F[29,x] = 1/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[33,x]+F[32,x]
F[32,x] = -F[0,x]+F[9,x]
F[33,x] = (x*F[33,x]^3+(2*x-1)*F[33,x]^2+(x^2-x+1)*F[33,x]+x^2)*(1+F[33,x])
F[34,x] = -F[37,x]+F[35,x]
F[35,x] = 1/F[11,x]*F[36,x]
F[36,x] = F[32,x]
F[37,x] = F[38,x]+F[9,x]
F[38,x] = -F[45,x]+F[39,x]
F[39,x] = 1/F[11,x]*F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[11,x]*F[42,x]*F[44,x]
F[42,x] = 1/F[11,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = F[33,x]+F[45,x]
F[45,x] = F[19,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]^2*F[11,x]
F[49,x] = F[1,x]+F[47,x]
F[50,x] = F[19,x]*F[49,x]*F[51,x]*F[52,x]
F[51,x] = (x^2+4*x-1)*F[51,x]^2+(4*x^2-5*x+2)*F[51,x]+4*x^2-x
F[52,x] = F[49,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[49,x]^2*F[11,x]*F[52,x]
F[55,x] = -F[23,x]+F[56,x]
F[56,x] = 1/F[11,x]*F[57,x]
F[57,x] = F[31,x]
F[58,x] = -F[23,x]+F[59,x]
F[59,x] = 1/F[11,x]/F[64,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[67,x]+F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[11,x]*F[22,x]*F[64,x]
F[64,x] = F[1,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[11,x]*F[64,x]
F[67,x] = F[64,x]*F[68,x]
F[68,x] = F[11,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[11,x]*F[71,x]
F[71,x] = F[72,x]+F[89,x]
F[72,x] = F[73,x]+F[75,x]
F[73,x] = F[74,x]
F[74,x] = F[11,x]*F[52,x]
F[75,x] = F[76,x]
F[76,x] = F[11,x]*F[77,x]
F[77,x] = F[78,x]+F[84,x]
F[78,x] = F[33,x]+F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[11,x]*F[81,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[49,x]*F[78,x]
F[83,x] = F[19,x]*F[78,x]
F[84,x] = F[85,x]
F[85,x] = F[11,x]*F[49,x]*F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[52,x]*F[78,x]
F[88,x] = F[19,x]*F[77,x]
F[89,x] = F[68,x]+F[90,x]
F[90,x] = F[91,x]+F[92,x]
F[91,x] = F[11,x]*F[46,x]
F[92,x] = F[93,x]
F[93,x] = F[11,x]*F[49,x]*F[94,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[69,x]+F[92,x]
F[96,x] = F[97,x]
F[97,x] = F[11,x]*F[98,x]
F[98,x] = F[106,x]+F[99,x]
F[99,x] = F[100,x]*F[89,x]
F[100,x] = F[101,x]+F[19,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[11,x]
F[103,x] = F[104,x]+F[83,x]
F[104,x] = F[105,x]*F[49,x]
F[105,x] = F[49,x]+F[78,x]
F[106,x] = F[105,x]*F[107,x]
F[107,x] = F[108,x]+F[68,x]
F[108,x] = F[109,x]+F[69,x]
F[109,x] = F[110,x]
F[110,x] = F[11,x]*F[111,x]
F[111,x] = F[112,x]+F[122,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[33,x]*F[72,x]
F[115,x] = F[116,x]
F[116,x] = F[11,x]*F[117,x]
F[117,x] = F[118,x]+F[120,x]
F[118,x] = F[119,x]*F[52,x]
F[119,x] = F[46,x]+F[79,x]
F[120,x] = F[121,x]*F[49,x]
F[121,x] = F[53,x]+F[84,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]+F[96,x]
F[124,x] = F[49,x]*F[90,x]
F[125,x] = F[126,x]*F[52,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]+F[2,x]
F[128,x] = -F[2,x]+F[5,x]
F[129,x] = F[130,x]+F[131,x]
F[130,x] = F[19,x]*F[5,x]
F[131,x] = F[132,x]
F[132,x] = F[11,x]*F[133,x]*F[49,x]
F[133,x] = 1/F[11,x]*F[134,x]
F[134,x] = F[128,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_{11}\! \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_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{129}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{125}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{55}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = x F_{19} \left(x \right)^{4}+x^{2} F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3} x -2 x F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3}+2 F_{19}\! \left(x \right) x +3 F_{19} \left(x \right)^{2}-2 F_{19}\! \left(x \right)+1
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{50}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{9}\! \left(x \right)
F_{33}\! \left(x \right) = x F_{33} \left(x \right)^{4}+x^{2} F_{33} \left(x \right)^{2}+3 x F_{33} \left(x \right)^{3}+2 x^{2} F_{33}\! \left(x \right)+x F_{33} \left(x \right)^{2}-F_{33} \left(x \right)^{3}+x^{2}-F_{33}\! \left(x \right) x +F_{33}\! \left(x \right)
F_{34}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{32}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{9}\! \left(x \right)
F_{38}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{11}\! \left(x \right) F_{42}\! \left(x \right) F_{44}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{33}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{19}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{49}\! \left(x \right) = F_{1}\! \left(x \right)+F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{19}\! \left(x \right) F_{49}\! \left(x \right) F_{51}\! \left(x \right) F_{52}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}+4 x^{2} F_{51}\! \left(x \right)+4 x F_{51} \left(x \right)^{2}+4 x^{2}-5 x F_{51}\! \left(x \right)-F_{51} \left(x \right)^{2}-x +2 F_{51}\! \left(x \right)
F_{52}\! \left(x \right) = F_{49}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{49} \left(x \right)^{2} F_{11}\! \left(x \right) F_{52}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{31}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{11}\! \left(x \right) F_{64}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{1}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{11}\! \left(x \right) F_{64}\! \left(x \right)
F_{67}\! \left(x \right) = F_{64}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{11}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{11}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{89}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{75}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{11}\! \left(x \right) F_{52}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{11}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{84}\! \left(x \right)
F_{78}\! \left(x \right) = F_{33}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{11}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{49}\! \left(x \right) F_{78}\! \left(x \right)
F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{78}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{52}\! \left(x \right) F_{78}\! \left(x \right)
F_{88}\! \left(x \right) = F_{19}\! \left(x \right) F_{77}\! \left(x \right)
F_{89}\! \left(x \right) = F_{68}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{92}\! \left(x \right)
F_{91}\! \left(x \right) = F_{11}\! \left(x \right) F_{46}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right) F_{49}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{69}\! \left(x \right)+F_{92}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{11}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{106}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{89}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{19}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{11}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{83}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{49}\! \left(x \right)
F_{105}\! \left(x \right) = F_{49}\! \left(x \right)+F_{78}\! \left(x \right)
F_{106}\! \left(x \right) = F_{105}\! \left(x \right) F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{68}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{69}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{11}\! \left(x \right) F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{122}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{33}\! \left(x \right) F_{72}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{11}\! \left(x \right) F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{120}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{52}\! \left(x \right)
F_{119}\! \left(x \right) = F_{46}\! \left(x \right)+F_{79}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{49}\! \left(x \right)
F_{121}\! \left(x \right) = F_{53}\! \left(x \right)+F_{84}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{96}\! \left(x \right)
F_{124}\! \left(x \right) = F_{49}\! \left(x \right) F_{90}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right) F_{52}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{2}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{131}\! \left(x \right)
F_{130}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{11}\! \left(x \right) F_{133}\! \left(x \right) F_{49}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{134}\! \left(x \right) = F_{128}\! \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_11(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_11(x)*F_7(x))
Eq(F_7(x), F_129(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), F_125(x) + F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) - F_58(x))
Eq(F_17(x), F_18(x) + F_55(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), x*F_19(x)**4 + (-x - 1)*F_19(x)**3 + (2*x - 2)*F_19(x) + (x**2 - 2*x + 3)*F_19(x)**2 + 1)
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_17(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_50(x))
Eq(F_26(x), F_27(x)/F_11(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_34(x))
Eq(F_29(x), F_30(x)/F_11(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_32(x) - F_33(x))
Eq(F_32(x), -F_0(x) + F_9(x))
Eq(F_33(x), x*(F_33(x) + 1)**4 + (-x - 1)*(F_33(x) + 1)**3 + (2*x - 3)*(F_33(x) + 1) + (F_33(x) + 1)**2*(x**2 - 2*x + 3) + F_33(x) + 1)
Eq(F_34(x), F_35(x) - F_37(x))
Eq(F_35(x), F_36(x)/F_11(x))
Eq(F_36(x), F_32(x))
Eq(F_37(x), F_38(x) + F_9(x))
Eq(F_38(x), F_39(x) - F_45(x))
Eq(F_39(x), F_40(x)/F_11(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_11(x)*F_42(x)*F_44(x))
Eq(F_42(x), F_43(x)/F_11(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), F_33(x) + F_45(x))
Eq(F_45(x), F_19(x)*F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_11(x)*F_49(x)**2)
Eq(F_49(x), F_1(x) + F_47(x))
Eq(F_50(x), F_19(x)*F_49(x)*F_51(x)*F_52(x))
Eq(F_51(x), x**2 + 8*x + (F_51(x) + 1)**2*(x**2 + 4*x - 1) + (F_51(x) + 1)*(2*x**2 - 13*x + 3) + F_51(x) - 2)
Eq(F_52(x), F_49(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_11(x)*F_49(x)**2*F_52(x))
Eq(F_55(x), -F_23(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_11(x))
Eq(F_57(x), F_31(x))
Eq(F_58(x), -F_23(x) + F_59(x))
Eq(F_59(x), F_60(x)/(F_11(x)*F_64(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_67(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_11(x)*F_22(x)*F_64(x))
Eq(F_64(x), F_1(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_11(x)*F_64(x))
Eq(F_67(x), F_64(x)*F_68(x))
Eq(F_68(x), F_11(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_11(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_89(x))
Eq(F_72(x), F_73(x) + F_75(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_11(x)*F_52(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_11(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_84(x))
Eq(F_78(x), F_33(x) + F_79(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_11(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_49(x)*F_78(x))
Eq(F_83(x), F_19(x)*F_78(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_11(x)*F_49(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_52(x)*F_78(x))
Eq(F_88(x), F_19(x)*F_77(x))
Eq(F_89(x), F_68(x) + F_90(x))
Eq(F_90(x), F_91(x) + F_92(x))
Eq(F_91(x), F_11(x)*F_46(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_11(x)*F_49(x)*F_94(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_69(x) + F_92(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_11(x)*F_98(x))
Eq(F_98(x), F_106(x) + F_99(x))
Eq(F_99(x), F_100(x)*F_89(x))
Eq(F_100(x), F_101(x) + F_19(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_11(x))
Eq(F_103(x), F_104(x) + F_83(x))
Eq(F_104(x), F_105(x)*F_49(x))
Eq(F_105(x), F_49(x) + F_78(x))
Eq(F_106(x), F_105(x)*F_107(x))
Eq(F_107(x), F_108(x) + F_68(x))
Eq(F_108(x), F_109(x) + F_69(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_11(x)*F_111(x))
Eq(F_111(x), F_112(x) + F_122(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_33(x)*F_72(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_11(x)*F_117(x))
Eq(F_117(x), F_118(x) + F_120(x))
Eq(F_118(x), F_119(x)*F_52(x))
Eq(F_119(x), F_46(x) + F_79(x))
Eq(F_120(x), F_121(x)*F_49(x))
Eq(F_121(x), F_53(x) + F_84(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x) + F_96(x))
Eq(F_124(x), F_49(x)*F_90(x))
Eq(F_125(x), F_126(x)*F_52(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x) + F_2(x))
Eq(F_128(x), -F_2(x) + F_5(x))
Eq(F_129(x), F_130(x) + F_131(x))
Eq(F_130(x), F_19(x)*F_5(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_11(x)*F_133(x)*F_49(x))
Eq(F_133(x), F_134(x)/F_11(x))
Eq(F_134(x), F_128(x))
Pack JSON:
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Specification JSON:
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{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 5], [0, 5]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"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]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25065/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[130,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = F[127,x]+F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = -F[60,x]+F[17,x]
F[17,x] = F[18,x]+F[57,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = 1+x*F[19,x]^4+F[19,x]^2*(x^2-2*x+3)+F[19,x]^3*(-1-x)+(-2+2*x)*F[19,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[17,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[26,x]+F[51,x]
F[26,x] = 1/F[11,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[33,x]+F[29,x]
F[29,x] = 1/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[2,x]+F[32,x]
F[32,x] = -F[19,x]+F[9,x]
F[33,x] = -F[38,x]+F[34,x]
F[34,x] = 1/F[11,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[31,x]+F[37,x]
F[37,x] = (1+F[37,x])*(x*F[37,x]^3+(2*x-1)*F[37,x]^2+(x^2-x+1)*F[37,x]+x^2)
F[38,x] = F[39,x]+F[9,x]
F[39,x] = -F[46,x]+F[40,x]
F[40,x] = 1/F[11,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[43,x]*F[45,x]
F[43,x] = 1/F[11,x]*F[44,x]
F[44,x] = F[2,x]
F[45,x] = F[37,x]+F[46,x]
F[46,x] = F[19,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[50,x]^2*F[11,x]
F[50,x] = F[1,x]+F[48,x]
F[51,x] = F[19,x]*F[50,x]*F[52,x]*F[53,x]
F[52,x] = (x^2+4*x-1)*F[52,x]^2+(4*x^2-5*x+2)*F[52,x]+4*x^2-x
F[53,x] = F[50,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[50,x]^2*F[11,x]*F[53,x]
F[57,x] = -F[23,x]+F[58,x]
F[58,x] = 1/F[11,x]*F[59,x]
F[59,x] = F[31,x]
F[60,x] = -F[23,x]+F[61,x]
F[61,x] = 1/F[11,x]/F[66,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[69,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[11,x]*F[22,x]*F[66,x]
F[66,x] = F[1,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[11,x]*F[66,x]
F[69,x] = F[66,x]*F[70,x]
F[70,x] = F[11,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[11,x]*F[73,x]
F[73,x] = F[74,x]+F[91,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[76,x]
F[76,x] = F[11,x]*F[53,x]
F[77,x] = F[78,x]
F[78,x] = F[11,x]*F[79,x]
F[79,x] = F[80,x]+F[86,x]
F[80,x] = F[37,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[11,x]*F[83,x]
F[83,x] = F[84,x]+F[85,x]
F[84,x] = F[50,x]*F[80,x]
F[85,x] = F[19,x]*F[80,x]
F[86,x] = F[87,x]
F[87,x] = F[11,x]*F[50,x]*F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[53,x]*F[80,x]
F[90,x] = F[19,x]*F[79,x]
F[91,x] = F[70,x]+F[92,x]
F[92,x] = F[93,x]+F[94,x]
F[93,x] = F[11,x]*F[47,x]
F[94,x] = F[95,x]
F[95,x] = F[11,x]*F[50,x]*F[96,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[71,x]+F[94,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[11,x]
F[100,x] = F[101,x]+F[108,x]
F[101,x] = F[102,x]*F[91,x]
F[102,x] = F[103,x]+F[19,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[11,x]
F[105,x] = F[106,x]+F[85,x]
F[106,x] = F[107,x]*F[50,x]
F[107,x] = F[50,x]+F[80,x]
F[108,x] = F[107,x]*F[109,x]
F[109,x] = F[110,x]+F[70,x]
F[110,x] = F[111,x]+F[71,x]
F[111,x] = F[112,x]
F[112,x] = F[11,x]*F[113,x]
F[113,x] = F[114,x]+F[124,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[37,x]*F[74,x]
F[117,x] = F[118,x]
F[118,x] = F[11,x]*F[119,x]
F[119,x] = F[120,x]+F[122,x]
F[120,x] = F[121,x]*F[53,x]
F[121,x] = F[47,x]+F[81,x]
F[122,x] = F[123,x]*F[50,x]
F[123,x] = F[55,x]+F[86,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[98,x]
F[126,x] = F[50,x]*F[92,x]
F[127,x] = F[128,x]*F[53,x]
F[128,x] = F[129,x]
F[129,x] = -F[0,x]+F[4,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[19,x]*F[5,x]
F[132,x] = F[133,x]
F[133,x] = F[11,x]*F[134,x]*F[50,x]
F[134,x] = 1/F[11,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[2,x]+F[129,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_{11}\! \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_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{130}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{127}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{57}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = x F_{19} \left(x \right)^{4}+x^{2} F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3} x -2 x F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3}+2 F_{19}\! \left(x \right) x +3 F_{19} \left(x \right)^{2}-2 F_{19}\! \left(x \right)+1
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{51}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = x F_{37} \left(x \right)^{4}+x^{2} F_{37} \left(x \right)^{2}+3 x F_{37} \left(x \right)^{3}+2 x^{2} F_{37}\! \left(x \right)+x F_{37} \left(x \right)^{2}-F_{37} \left(x \right)^{3}+x^{2}-F_{37}\! \left(x \right) x +F_{37}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{9}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{43}\! \left(x \right) F_{45}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{2}\! \left(x \right)
F_{45}\! \left(x \right) = F_{37}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{19}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{52}\! \left(x \right) F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = x^{2} F_{52} \left(x \right)^{2}+4 x^{2} F_{52}\! \left(x \right)+4 x F_{52} \left(x \right)^{2}+4 x^{2}-5 x F_{52}\! \left(x \right)-F_{52} \left(x \right)^{2}-x +2 F_{52}\! \left(x \right)
F_{53}\! \left(x \right) = F_{50}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{50} \left(x \right)^{2} F_{11}\! \left(x \right) F_{53}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{31}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{11}\! \left(x \right) F_{66}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{11}\! \left(x \right) F_{66}\! \left(x \right)
F_{69}\! \left(x \right) = F_{66}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{11}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{11}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{91}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{11}\! \left(x \right) F_{53}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{11}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{86}\! \left(x \right)
F_{80}\! \left(x \right) = F_{37}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{11}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{85}\! \left(x \right) = F_{19}\! \left(x \right) F_{80}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{53}\! \left(x \right) F_{80}\! \left(x \right)
F_{90}\! \left(x \right) = F_{19}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{70}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{94}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{71}\! \left(x \right)+F_{94}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{11}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{108}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{91}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{19}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{11}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{85}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{50}\! \left(x \right)
F_{107}\! \left(x \right) = F_{50}\! \left(x \right)+F_{80}\! \left(x \right)
F_{108}\! \left(x \right) = F_{107}\! \left(x \right) F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{70}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{71}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{124}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{37}\! \left(x \right) F_{74}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{11}\! \left(x \right) F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{122}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{53}\! \left(x \right)
F_{121}\! \left(x \right) = F_{47}\! \left(x \right)+F_{81}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{50}\! \left(x \right)
F_{123}\! \left(x \right) = F_{55}\! \left(x \right)+F_{86}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{98}\! \left(x \right)
F_{126}\! \left(x \right) = F_{50}\! \left(x \right) F_{92}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{53}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{11}\! \left(x \right) F_{134}\! \left(x \right) F_{50}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{129}\! \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_11(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_11(x)*F_7(x))
Eq(F_7(x), F_130(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), F_127(x) + F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) - F_60(x))
Eq(F_17(x), F_18(x) + F_57(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), x*F_19(x)**4 + (-x - 1)*F_19(x)**3 + (2*x - 2)*F_19(x) + (x**2 - 2*x + 3)*F_19(x)**2 + 1)
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_17(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_51(x))
Eq(F_26(x), F_27(x)/F_11(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_33(x))
Eq(F_29(x), F_30(x)/F_11(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_2(x) + F_32(x))
Eq(F_32(x), -F_19(x) + F_9(x))
Eq(F_33(x), F_34(x) - F_38(x))
Eq(F_34(x), F_35(x)/F_11(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_31(x) + F_37(x))
Eq(F_37(x), x*(F_37(x) + 1)**4 + (-x - 1)*(F_37(x) + 1)**3 + (2*x - 3)*(F_37(x) + 1) + (F_37(x) + 1)**2*(x**2 - 2*x + 3) + F_37(x) + 1)
Eq(F_38(x), F_39(x) + F_9(x))
Eq(F_39(x), F_40(x) - F_46(x))
Eq(F_40(x), F_41(x)/F_11(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_43(x)*F_45(x))
Eq(F_43(x), F_44(x)/F_11(x))
Eq(F_44(x), F_2(x))
Eq(F_45(x), F_37(x) + F_46(x))
Eq(F_46(x), F_19(x)*F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_11(x)*F_50(x)**2)
Eq(F_50(x), F_1(x) + F_48(x))
Eq(F_51(x), F_19(x)*F_50(x)*F_52(x)*F_53(x))
Eq(F_52(x), x**2 + 8*x + (F_52(x) + 1)**2*(x**2 + 4*x - 1) + (F_52(x) + 1)*(2*x**2 - 13*x + 3) + F_52(x) - 2)
Eq(F_53(x), F_50(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_11(x)*F_50(x)**2*F_53(x))
Eq(F_57(x), -F_23(x) + F_58(x))
Eq(F_58(x), F_59(x)/F_11(x))
Eq(F_59(x), F_31(x))
Eq(F_60(x), -F_23(x) + F_61(x))
Eq(F_61(x), F_62(x)/(F_11(x)*F_66(x)))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_69(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_11(x)*F_22(x)*F_66(x))
Eq(F_66(x), F_1(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_11(x)*F_66(x))
Eq(F_69(x), F_66(x)*F_70(x))
Eq(F_70(x), F_11(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_11(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_91(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_11(x)*F_53(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_11(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_86(x))
Eq(F_80(x), F_37(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_11(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_85(x))
Eq(F_84(x), F_50(x)*F_80(x))
Eq(F_85(x), F_19(x)*F_80(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_11(x)*F_50(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_53(x)*F_80(x))
Eq(F_90(x), F_19(x)*F_79(x))
Eq(F_91(x), F_70(x) + F_92(x))
Eq(F_92(x), F_93(x) + F_94(x))
Eq(F_93(x), F_11(x)*F_47(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_11(x)*F_50(x)*F_96(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_71(x) + F_94(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_11(x))
Eq(F_100(x), F_101(x) + F_108(x))
Eq(F_101(x), F_102(x)*F_91(x))
Eq(F_102(x), F_103(x) + F_19(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_11(x))
Eq(F_105(x), F_106(x) + F_85(x))
Eq(F_106(x), F_107(x)*F_50(x))
Eq(F_107(x), F_50(x) + F_80(x))
Eq(F_108(x), F_107(x)*F_109(x))
Eq(F_109(x), F_110(x) + F_70(x))
Eq(F_110(x), F_111(x) + F_71(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_11(x)*F_113(x))
Eq(F_113(x), F_114(x) + F_124(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_37(x)*F_74(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_11(x)*F_119(x))
Eq(F_119(x), F_120(x) + F_122(x))
Eq(F_120(x), F_121(x)*F_53(x))
Eq(F_121(x), F_47(x) + F_81(x))
Eq(F_122(x), F_123(x)*F_50(x))
Eq(F_123(x), F_55(x) + F_86(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_98(x))
Eq(F_126(x), F_50(x)*F_92(x))
Eq(F_127(x), F_128(x)*F_53(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), -F_0(x) + F_4(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_19(x)*F_5(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_11(x)*F_134(x)*F_50(x))
Eq(F_134(x), F_135(x)/F_11(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_129(x) - F_2(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, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "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:
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0], [2, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [5, 0], [5, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 1], [4, 1], [4, 1]]}, {"patt": [0, 2, 1], "pos": [[5, 0], [5, 0], [5, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[4, 1]]}], [{"patt": [0], "pos": [[3, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [0, 4]]}, {"patt": [1, 0], "pos": [[0, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0, 1], "pos": [[0, 5], [0, 5]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[0, 5], [0, 5]]}, {"patt": [1, 0], "pos": [[0, 5], [2, 4]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 1], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 1], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[2, 4]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"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]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25445/
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[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[130,x]+F[8,x]
F[8,x] = F[12,x]+F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = F[127,x]+F[15,x]
F[15,x] = F[16,x]*F[4,x]
F[16,x] = -F[60,x]+F[17,x]
F[17,x] = F[18,x]+F[57,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = 1+x*F[19,x]^4+F[19,x]^2*(x^2-2*x+3)+F[19,x]^3*(-1-x)+(-2+2*x)*F[19,x]
F[20,x] = F[21,x]
F[21,x] = F[11,x]*F[22,x]
F[22,x] = F[17,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[11,x]*F[25,x]
F[25,x] = F[26,x]+F[51,x]
F[26,x] = 1/F[11,x]*F[27,x]
F[27,x] = F[28,x]
F[28,x] = -F[33,x]+F[29,x]
F[29,x] = 1/F[11,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[2,x]+F[32,x]
F[32,x] = -F[19,x]+F[9,x]
F[33,x] = -F[38,x]+F[34,x]
F[34,x] = 1/F[11,x]*F[35,x]
F[35,x] = F[36,x]
F[36,x] = F[31,x]+F[37,x]
F[37,x] = (1+F[37,x])*(x*F[37,x]^3+(2*x-1)*F[37,x]^2+(x^2-x+1)*F[37,x]+x^2)
F[38,x] = F[39,x]+F[9,x]
F[39,x] = -F[46,x]+F[40,x]
F[40,x] = 1/F[11,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[11,x]*F[43,x]*F[45,x]
F[43,x] = 1/F[11,x]*F[44,x]
F[44,x] = F[2,x]
F[45,x] = F[37,x]+F[46,x]
F[46,x] = F[19,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[50,x]^2*F[11,x]
F[50,x] = F[1,x]+F[48,x]
F[51,x] = F[19,x]*F[50,x]*F[52,x]*F[53,x]
F[52,x] = (x^2+4*x-1)*F[52,x]^2+(4*x^2-5*x+2)*F[52,x]+4*x^2-x
F[53,x] = F[50,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[50,x]^2*F[11,x]*F[53,x]
F[57,x] = -F[23,x]+F[58,x]
F[58,x] = 1/F[11,x]*F[59,x]
F[59,x] = F[31,x]
F[60,x] = -F[23,x]+F[61,x]
F[61,x] = 1/F[11,x]/F[66,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[69,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[11,x]*F[22,x]*F[66,x]
F[66,x] = F[1,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[11,x]*F[66,x]
F[69,x] = F[66,x]*F[70,x]
F[70,x] = F[11,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[11,x]*F[73,x]
F[73,x] = F[74,x]+F[91,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[76,x]
F[76,x] = F[11,x]*F[53,x]
F[77,x] = F[78,x]
F[78,x] = F[11,x]*F[79,x]
F[79,x] = F[80,x]+F[86,x]
F[80,x] = F[37,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[11,x]*F[83,x]
F[83,x] = F[84,x]+F[85,x]
F[84,x] = F[50,x]*F[80,x]
F[85,x] = F[19,x]*F[80,x]
F[86,x] = F[87,x]
F[87,x] = F[11,x]*F[50,x]*F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[53,x]*F[80,x]
F[90,x] = F[19,x]*F[79,x]
F[91,x] = F[70,x]+F[92,x]
F[92,x] = F[93,x]+F[94,x]
F[93,x] = F[11,x]*F[47,x]
F[94,x] = F[95,x]
F[95,x] = F[11,x]*F[50,x]*F[96,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[71,x]+F[94,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[11,x]
F[100,x] = F[101,x]+F[108,x]
F[101,x] = F[102,x]*F[91,x]
F[102,x] = F[103,x]+F[19,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[11,x]
F[105,x] = F[106,x]+F[85,x]
F[106,x] = F[107,x]*F[50,x]
F[107,x] = F[50,x]+F[80,x]
F[108,x] = F[107,x]*F[109,x]
F[109,x] = F[110,x]+F[70,x]
F[110,x] = F[111,x]+F[71,x]
F[111,x] = F[112,x]
F[112,x] = F[11,x]*F[113,x]
F[113,x] = F[114,x]+F[124,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]+F[117,x]
F[116,x] = F[37,x]*F[74,x]
F[117,x] = F[118,x]
F[118,x] = F[11,x]*F[119,x]
F[119,x] = F[120,x]+F[122,x]
F[120,x] = F[121,x]*F[53,x]
F[121,x] = F[47,x]+F[81,x]
F[122,x] = F[123,x]*F[50,x]
F[123,x] = F[55,x]+F[86,x]
F[124,x] = F[125,x]
F[125,x] = F[126,x]+F[98,x]
F[126,x] = F[50,x]*F[92,x]
F[127,x] = F[128,x]*F[53,x]
F[128,x] = F[129,x]
F[129,x] = -F[0,x]+F[4,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[19,x]*F[5,x]
F[132,x] = F[133,x]
F[133,x] = F[11,x]*F[134,x]*F[50,x]
F[134,x] = 1/F[11,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[2,x]+F[129,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_{11}\! \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_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{130}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{12}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{127}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{4}\! \left(x \right)
F_{16}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{57}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = x F_{19} \left(x \right)^{4}+x^{2} F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3} x -2 x F_{19} \left(x \right)^{2}-F_{19} \left(x \right)^{3}+2 F_{19}\! \left(x \right) x +3 F_{19} \left(x \right)^{2}-2 F_{19}\! \left(x \right)+1
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{17}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{51}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{9}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = x F_{37} \left(x \right)^{4}+x^{2} F_{37} \left(x \right)^{2}+3 x F_{37} \left(x \right)^{3}+2 x^{2} F_{37}\! \left(x \right)+x F_{37} \left(x \right)^{2}-F_{37} \left(x \right)^{3}+x^{2}-F_{37}\! \left(x \right) x +F_{37}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{9}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{11}\! \left(x \right) F_{43}\! \left(x \right) F_{45}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{2}\! \left(x \right)
F_{45}\! \left(x \right) = F_{37}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{19}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50} \left(x \right)^{2} F_{11}\! \left(x \right)
F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{19}\! \left(x \right) F_{50}\! \left(x \right) F_{52}\! \left(x \right) F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = x^{2} F_{52} \left(x \right)^{2}+4 x^{2} F_{52}\! \left(x \right)+4 x F_{52} \left(x \right)^{2}+4 x^{2}-5 x F_{52}\! \left(x \right)-F_{52} \left(x \right)^{2}-x +2 F_{52}\! \left(x \right)
F_{53}\! \left(x \right) = F_{50}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{50} \left(x \right)^{2} F_{11}\! \left(x \right) F_{53}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{31}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{11}\! \left(x \right) F_{66}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{11}\! \left(x \right) F_{22}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{1}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{11}\! \left(x \right) F_{66}\! \left(x \right)
F_{69}\! \left(x \right) = F_{66}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{11}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{11}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{91}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{11}\! \left(x \right) F_{53}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{11}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{86}\! \left(x \right)
F_{80}\! \left(x \right) = F_{37}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{11}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{85}\! \left(x \right) = F_{19}\! \left(x \right) F_{80}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{53}\! \left(x \right) F_{80}\! \left(x \right)
F_{90}\! \left(x \right) = F_{19}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{70}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{94}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right) F_{47}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{11}\! \left(x \right) F_{50}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{71}\! \left(x \right)+F_{94}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{11}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{108}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{91}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{19}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{11}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{85}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{50}\! \left(x \right)
F_{107}\! \left(x \right) = F_{50}\! \left(x \right)+F_{80}\! \left(x \right)
F_{108}\! \left(x \right) = F_{107}\! \left(x \right) F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{70}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{71}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{11}\! \left(x \right) F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{124}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{117}\! \left(x \right)
F_{116}\! \left(x \right) = F_{37}\! \left(x \right) F_{74}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{11}\! \left(x \right) F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{122}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{53}\! \left(x \right)
F_{121}\! \left(x \right) = F_{47}\! \left(x \right)+F_{81}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{50}\! \left(x \right)
F_{123}\! \left(x \right) = F_{55}\! \left(x \right)+F_{86}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{98}\! \left(x \right)
F_{126}\! \left(x \right) = F_{50}\! \left(x \right) F_{92}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{53}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{19}\! \left(x \right) F_{5}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{11}\! \left(x \right) F_{134}\! \left(x \right) F_{50}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{129}\! \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_11(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_11(x)*F_7(x))
Eq(F_7(x), F_130(x) + F_8(x))
Eq(F_8(x), F_12(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), F_127(x) + F_15(x))
Eq(F_15(x), F_16(x)*F_4(x))
Eq(F_16(x), F_17(x) - F_60(x))
Eq(F_17(x), F_18(x) + F_57(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), x*F_19(x)**4 + (-x - 1)*F_19(x)**3 + (2*x - 2)*F_19(x) + (x**2 - 2*x + 3)*F_19(x)**2 + 1)
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_11(x)*F_22(x))
Eq(F_22(x), F_17(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_11(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_51(x))
Eq(F_26(x), F_27(x)/F_11(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x) - F_33(x))
Eq(F_29(x), F_30(x)/F_11(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_2(x) + F_32(x))
Eq(F_32(x), -F_19(x) + F_9(x))
Eq(F_33(x), F_34(x) - F_38(x))
Eq(F_34(x), F_35(x)/F_11(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_31(x) + F_37(x))
Eq(F_37(x), x*(F_37(x) + 1)**4 + (-x - 1)*(F_37(x) + 1)**3 + (2*x - 3)*(F_37(x) + 1) + (F_37(x) + 1)**2*(x**2 - 2*x + 3) + F_37(x) + 1)
Eq(F_38(x), F_39(x) + F_9(x))
Eq(F_39(x), F_40(x) - F_46(x))
Eq(F_40(x), F_41(x)/F_11(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_11(x)*F_43(x)*F_45(x))
Eq(F_43(x), F_44(x)/F_11(x))
Eq(F_44(x), F_2(x))
Eq(F_45(x), F_37(x) + F_46(x))
Eq(F_46(x), F_19(x)*F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_11(x)*F_50(x)**2)
Eq(F_50(x), F_1(x) + F_48(x))
Eq(F_51(x), F_19(x)*F_50(x)*F_52(x)*F_53(x))
Eq(F_52(x), x**2 + 8*x + (F_52(x) + 1)**2*(x**2 + 4*x - 1) + (F_52(x) + 1)*(2*x**2 - 13*x + 3) + F_52(x) - 2)
Eq(F_53(x), F_50(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_11(x)*F_50(x)**2*F_53(x))
Eq(F_57(x), -F_23(x) + F_58(x))
Eq(F_58(x), F_59(x)/F_11(x))
Eq(F_59(x), F_31(x))
Eq(F_60(x), -F_23(x) + F_61(x))
Eq(F_61(x), F_62(x)/(F_11(x)*F_66(x)))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_69(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_11(x)*F_22(x)*F_66(x))
Eq(F_66(x), F_1(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_11(x)*F_66(x))
Eq(F_69(x), F_66(x)*F_70(x))
Eq(F_70(x), F_11(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_11(x)*F_73(x))
Eq(F_73(x), F_74(x) + F_91(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_11(x)*F_53(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_11(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_86(x))
Eq(F_80(x), F_37(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_11(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_85(x))
Eq(F_84(x), F_50(x)*F_80(x))
Eq(F_85(x), F_19(x)*F_80(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_11(x)*F_50(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_53(x)*F_80(x))
Eq(F_90(x), F_19(x)*F_79(x))
Eq(F_91(x), F_70(x) + F_92(x))
Eq(F_92(x), F_93(x) + F_94(x))
Eq(F_93(x), F_11(x)*F_47(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_11(x)*F_50(x)*F_96(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_71(x) + F_94(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_11(x))
Eq(F_100(x), F_101(x) + F_108(x))
Eq(F_101(x), F_102(x)*F_91(x))
Eq(F_102(x), F_103(x) + F_19(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_11(x))
Eq(F_105(x), F_106(x) + F_85(x))
Eq(F_106(x), F_107(x)*F_50(x))
Eq(F_107(x), F_50(x) + F_80(x))
Eq(F_108(x), F_107(x)*F_109(x))
Eq(F_109(x), F_110(x) + F_70(x))
Eq(F_110(x), F_111(x) + F_71(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_11(x)*F_113(x))
Eq(F_113(x), F_114(x) + F_124(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) + F_117(x))
Eq(F_116(x), F_37(x)*F_74(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_11(x)*F_119(x))
Eq(F_119(x), F_120(x) + F_122(x))
Eq(F_120(x), F_121(x)*F_53(x))
Eq(F_121(x), F_47(x) + F_81(x))
Eq(F_122(x), F_123(x)*F_50(x))
Eq(F_123(x), F_55(x) + F_86(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x) + F_98(x))
Eq(F_126(x), F_50(x)*F_92(x))
Eq(F_127(x), F_128(x)*F_53(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), -F_0(x) + F_4(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_19(x)*F_5(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_11(x)*F_134(x)*F_50(x))
Eq(F_134(x), F_135(x)/F_11(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_129(x) - F_2(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, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 4, 1, 3, 2], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 4, 2], [1, 3, 4, 0, 2], [1, 4, 0, 3, 2], [1, 4, 3, 0, 2], [4, 0, 1, 3, 2], [4, 1, 0, 3, 2], [4, 1, 3, 0, 2]], "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, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "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, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "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, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "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": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "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, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], 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