10342_10432_13042_13402_14032_14302_31042_31402
Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3035, 16838, 96189, 562676, 3356916, 20362850, 125287692, 780398094, 4913441262, 31229240680, 200161740988, 1292576829062, 8403454805199, 54967211523736, 361535419832333, 2389947199755618, 15872001924202212, 105856865458351580, 708772922521008784, 4762871495418671492, 32113740931587832751, 217205931109269779570, 1473397399954662005575, 10021971313320552266852, 68343439404117254465092, 467178816431250505135398, 3200739488323156151544178, 21975661569410929904374030, 151184175920749446435761195, 1042067825621875257674629184, 7195603148445961790925898653, 49771377743488289759497368126, 344822888779458511987740355921, 2392665215866096546211930886192, 16626665422948511637419189829467, 115700688754867010668416163722984, 806206940638498573390675729120948, 5624850968483046127287907362236266, 39292096532445331121621797480327188, 274793482049166548838650254997699774, 1923948603061437827270879254882068653, 13484858555127106181824532615428763820, 94612058930553182115130277284512651349, 664471173688319804906617926863833680566, 4671095589366562830162496646304606275442, 32866894581916612428021465677778612561752, 231462755109277130711600129566387985518868, 1631443829217281112211501845319452518603972, 11508493503552219578229336632441886107521300, 81247059838807269744448264584584764925782390, 574021008972554144764894115224314454355185044, 4058519307676996032080824297407620891238943096, 28715503957508116697873768196994953927155521131, 203312507742896257030248739802016544826996900446, 1440459012050432166219680530000093520494731354395, 10212161008509529187950286526301395864022707919696, 72444523963672515269739035779722317982487907644042, 514228640037517674067551912543883416299687475635202, 3652260588776032137457958561601934955679740860761624, 25954604694055633056113645261941960292353042606999490, 184546984220756213044760817586217871289436258148025497, 1312902220424045163260051181118328470348116745581752692, 9345101735772186343122134540526440161025720561276757783, 66551142026478580648609741701374542294589490155419281342, 474177227950310750787426096592402117217568094900241566927, 3380132335815680705739912464907932239620655351736324744240, 24106208527510428752876682743955514473900613001224814883169, 171997011639436799927965619517449043876266141613930416133388, 1227734575242898246454507021744365097498727968313192057317554, 8767477774915531590013282617145427699659124401536363946510782, 62636382006937723999639281074719187583493333307954225978933598, 447667784325828048335706196544178951659441938423869225869328758, 3200794305779093900132084509381577071416836602163106888739193772, 22894341549318489589522176322822843416897029644318968919691515516, 163818482018702903421909480089759829035251237678925271060460301754, 1172621935987308036874530435531186961542035614465085932467324623346, 8396720155808713264193506846938693130151717421874051674826549371047, 60147031722234712895836379925158005008279695519776893337247067677576, 430990811097097931692696611079125178473628348019380196995066419798985, 3089353976861220514334368718491740075672993048620168282394100263918842, 22151842806044107501548036140723486603116281601062297807591837342326922, 158888097693265402387768304084409768431022225962107717497041159331589408, 1140011106284074832176429875299578442456619408946109091872227956330424458, 8182010088842596808432781236856495776188413980321961137181256747098082524, 58740988064947544748757377895633942070037261260852429376680290787905258895, 421842161313959490960708749857822357626246970198024507744525919350744298646, 3030285164391450653576087627358923408387120878425002132148287783907741377191, 21774047339319960293106350330482093021588465446354320689509752097822655722672, 156500028977189701113081160051255101298631771853394920475849927023956360891601, 1125140626766895606137865567288169246219674346955482274615747793485389471487958, 8091218323444451384743383568285095999313510223129657244275927042496942370429705, 58201401016959855524822683264666224938768538278975490167321535997487318568736474, 418757994465974278069680158451763165574580565465876003160404486394487402820058120, 3013705079809260833347559808583493435882696780916174605367226945577743691711401692
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24428/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[13,x]*F[7,x]
F[7,x] = F[19,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = -F[0,x]+F[11,x]
F[11,x] = 1/F[13,x]*F[12,x]
F[12,x] = F[2,x]
F[13,x] = x
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[16,x]*F[5,x]
F[16,x] = F[1,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[13,x]*F[16,x]
F[19,x] = F[20,x]
F[20,x] = F[13,x]*F[16,x]*F[21,x]
F[21,x] = F[22,x]+F[52,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[4,x]
F[24,x] = F[25,x]
F[25,x] = F[13,x]*F[26,x]
F[26,x] = F[27,x]+F[51,x]
F[27,x] = F[28,x]+F[49,x]
F[28,x] = F[29,x,1]
F[29,x,k[0]] = F[30,x,k[0]]+F[39,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]+F[35,x,k[0]]
F[31,x,k[0]] = F[1,x]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[33,x,k[0]] = F[31,x,k[0]]*F[34,x,k[0]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0]] = F[2,x]+F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[34,x,k[0]]*F[38,x,k[0]]
F[38,x,k[0]] = F[35,x,k[0]]+F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[13,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]+F[45,x,k[0]]
F[42,x,k[0]] = F[29,x,k[0]]+F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[13,x]*F[16,x]*F[29,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = F[35,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[13,x]*F[45,x,k[0]]
F[49,x] = F[50,x]
F[50,x] = F[13,x]*F[16,x]*F[28,x]
F[51,x] = F[45,x,1]
F[52,x] = F[53,x]
F[53,x] = F[13,x]*F[4,x]*F[54,x]
F[54,x] = F[55,x,1]
F[56,x,k[0]] = F[13,x]*F[151,x]*F[55,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[58,x,k[0]] = F[189,x,k[0]]+F[57,x,k[0]]
F[58,x,k[0]] = F[182,x,k[0]]+F[59,x,k[0]]
F[59,x,k[0]] = F[109,x,k[0]]+F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[0,x]*F[4,x]
F[62,x] = F[63,x]
F[63,x] = F[0,x]*F[13,x]*F[64,x]
F[64,x] = 1/F[13,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[94,x]+F[67,x]
F[67,x] = 1/F[13,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[13,x]*F[71,x]
F[71,x] = F[72,x]+F[90,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]*F[13,x]*F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[0,x]+F[76,x]
F[76,x] = F[2,x]+F[69,x]
F[77,x] = F[78,x]
F[78,x] = F[13,x]*F[79,x]
F[79,x] = F[80,x]+F[89,x]
F[80,x] = F[81,x]+F[87,x]
F[81,x] = F[82,x]+F[85,x]
F[82,x] = F[16,x]+F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[13,x]*F[16,x]*F[74,x]
F[85,x] = F[86,x]
F[86,x] = F[13,x]*F[79,x]
F[87,x] = F[88,x]
F[88,x] = F[13,x]*F[74,x]*F[81,x]
F[89,x] = F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[13,x]*F[92,x]
F[92,x] = F[10,x]
F[93,x] = F[11,x]+F[72,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[2,x]+F[69,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[2,x]^2
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[13,x]
F[100,x] = F[101,x]+F[107,x]
F[101,x] = F[102,x]*F[4,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[13,x]
F[104,x] = F[105,x]+F[66,x]
F[105,x] = F[106,x]+F[96,x]
F[106,x] = F[102,x]+F[2,x]
F[107,x] = F[108,x]
F[108,x] = F[106,x]*F[13,x]*F[64,x]
F[109,x,k[0]] = F[110,x,k[0]]+F[175,x,k[0]]
F[111,x,k[0]] = F[110,x,k[0]]+F[172,x]
F[111,x,k[0]] = F[112,x,k[0]]+F[158,x,k[0]]
F[113,x,k[0]] = F[112,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[4,x]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]*F[34,x,k[0]]
F[119,x,k[0]] = F[118,x,k[0]]*F[13,x]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]*F[13,x]
F[122,x,k[0]] = F[123,x,k[0]]+F[128,x,k[0]]
F[123,x,k[0]] = F[11,x]*F[124,x,k[0]]
F[124,x,k[0]] = F[0,x]+F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]*F[34,x,k[0]]
F[127,x,k[0]] = F[120,x,k[0]]+F[124,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[13,x]*F[130,x,k[0]]*F[131,x,k[0]]
F[130,x,k[0]] = F[124,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]
F[133,x,k[0]] = F[13,x]*F[132,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[13,x]*F[135,x,k[0]]
F[136,x,k[0]] = F[135,x,k[0]]*F[34,x,k[0]]
F[136,x,k[0]] = F[109,x,k[0]]
F[137,x] = 1/F[13,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[141,x]
F[140,x] = F[102,x]+F[2,x]
F[141,x] = F[142,x]
F[142,x] = F[13,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = -F[147,x]+F[145,x]
F[145,x] = 1/F[13,x]*F[146,x]
F[146,x] = F[102,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[13,x]*F[149,x]
F[149,x] = F[106,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[0,x]+F[140,x]
F[152,x] = -F[156,x]+F[153,x]
F[153,x] = 1/F[13,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[2,x]+F[10,x]
F[156,x] = F[157,x]
F[157,x] = F[13,x]*F[150,x]*F[74,x]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[13,x]*F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[171,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]+F[169,x,k[0]]
F[163,x,k[0]] = F[13,x]*F[16,x]*F[162,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[167,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[112,x,k[0]] = F[124,x,k[0]]+F[166,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[13,x]*F[162,x,k[0]]*F[17,x]
F[169,x,k[0]] = F[170,x]
F[170,x] = F[14,x]+F[5,x]
F[171,x,k[0]] = F[19,x]
F[172,x] = F[173,x]+F[4,x]
F[173,x] = F[174,x]+F[76,x]
F[174,x] = F[70,x]
F[175,x,k[0]] = F[176,x,k[0]]
F[176,x,k[0]] = F[13,x]*F[177,x,k[0]]
F[177,x,k[0]] = -k[0]*(F[178,x,1]-F[178,x,k[0]])/(-1+k[0])
F[58,x,k[0]] = F[178,x,k[0]]+F[179,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[151,x]*F[4,x]
F[181,x] = F[107,x]+F[62,x]
F[182,x,k[0]] = F[183,x,k[0]]+F[187,x,k[0]]
F[183,x,k[0]] = F[106,x]*F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]+F[4,x]
F[185,x,k[0]] = F[186,x,k[0]]
F[186,x,k[0]] = F[34,x,k[0]]*F[41,x,k[0]]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[106,x]*F[13,x]*F[55,x,k[0]]
F[189,x,k[0]] = F[151,x]*F[184,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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{13}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{5}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{52}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{51}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{49}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{28}\! \left(x \right)
F_{51}\! \left(x \right) = F_{45}\! \left(x , 1\right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{151}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{189}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{13}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{90}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{0}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{89}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{87}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{16}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{74}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{13}\! \left(x \right) F_{74}\! \left(x \right) F_{81}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{10}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right)+F_{72}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{13}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{107}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{13}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{66}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{96}\! \left(x \right)
F_{106}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{172}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{128}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{130}\! \left(x , y\right) F_{131}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{135}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{141}\! \left(x \right)
F_{140}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{13}\! \left(x \right) F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{102}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{106}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right)+F_{140}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{10}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{13}\! \left(x \right) F_{150}\! \left(x \right) F_{74}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{162}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{166}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{162}\! \left(x , y\right) F_{17}\! \left(x \right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{14}\! \left(x \right)+F_{5}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{19}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{70}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{177}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = -\frac{y \left(F_{178}\! \left(x , 1\right)-F_{178}\! \left(x , y\right)\right)}{-1+y}
F_{58}\! \left(x , y\right) = F_{178}\! \left(x , y\right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{151}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{107}\! \left(x \right)+F_{62}\! \left(x \right)
F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{151}\! \left(x \right) F_{184}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_13(x)*F_7(x))
Eq(F_7(x), F_19(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), -F_0(x) + F_11(x))
Eq(F_11(x), F_12(x)/F_13(x))
Eq(F_12(x), F_2(x))
Eq(F_13(x), x)
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_16(x)*F_5(x))
Eq(F_16(x), F_1(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_13(x)*F_16(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_13(x)*F_16(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_52(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_4(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_13(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_51(x))
Eq(F_27(x), F_28(x) + F_49(x))
Eq(F_28(x), F_29(x, 1))
Eq(F_29(x, k_0), F_30(x, k_0) + F_39(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0) + F_35(x, k_0))
Eq(F_31(x, k_0), F_1(x) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_33(x, k_0), F_31(x, k_0)*F_34(x, k_0))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0), F_2(x) + F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_34(x, k_0)*F_38(x, k_0))
Eq(F_38(x, k_0), F_35(x, k_0) + F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_13(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0) + F_45(x, k_0))
Eq(F_42(x, k_0), F_29(x, k_0) + F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_13(x)*F_16(x)*F_29(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), F_35(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_13(x)*F_45(x, k_0))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_13(x)*F_16(x)*F_28(x))
Eq(F_51(x), F_45(x, 1))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_13(x)*F_4(x)*F_54(x))
Eq(F_54(x), F_55(x, 1))
Eq(F_56(x, k_0), F_13(x)*F_151(x)*F_55(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_58(x, k_0), F_189(x, k_0) + F_57(x, k_0))
Eq(F_58(x, k_0), F_182(x, k_0) + F_59(x, k_0))
Eq(F_59(x, k_0), F_109(x, k_0) + F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_0(x)*F_4(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_0(x)*F_13(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_13(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_94(x))
Eq(F_67(x), F_68(x)/F_13(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_13(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_90(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)*F_13(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_0(x) + F_76(x))
Eq(F_76(x), F_2(x) + F_69(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_13(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_89(x))
Eq(F_80(x), F_81(x) + F_87(x))
Eq(F_81(x), F_82(x) + F_85(x))
Eq(F_82(x), F_16(x) + F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_13(x)*F_16(x)*F_74(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_13(x)*F_79(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_13(x)*F_74(x)*F_81(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_13(x))
Eq(F_92(x), F_10(x))
Eq(F_93(x), F_11(x) + F_72(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_2(x) + F_69(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_2(x)**2)
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_13(x))
Eq(F_100(x), F_101(x) + F_107(x))
Eq(F_101(x), F_102(x)*F_4(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_13(x))
Eq(F_104(x), F_105(x) + F_66(x))
Eq(F_105(x), F_106(x) + F_96(x))
Eq(F_106(x), F_102(x) + F_2(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_106(x)*F_13(x)*F_64(x))
Eq(F_109(x, k_0), F_110(x, k_0) + F_175(x, k_0))
Eq(F_111(x, k_0), F_110(x, k_0) + F_172(x))
Eq(F_111(x, k_0), F_112(x, k_0) + F_158(x, k_0))
Eq(F_113(x, k_0), F_112(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_4(x))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0)*F_34(x, k_0))
Eq(F_119(x, k_0), F_118(x, k_0)*F_13(x))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0)*F_13(x))
Eq(F_122(x, k_0), F_123(x, k_0) + F_128(x, k_0))
Eq(F_123(x, k_0), F_11(x)*F_124(x, k_0))
Eq(F_124(x, k_0), F_0(x) + F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0)*F_34(x, k_0))
Eq(F_127(x, k_0), F_120(x, k_0) + F_124(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_13(x)*F_130(x, k_0)*F_131(x, k_0))
Eq(F_130(x, k_0), F_124(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_133(x, k_0), F_13(x)*F_132(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_13(x)*F_135(x, k_0))
Eq(F_136(x, k_0), F_135(x, k_0)*F_34(x, k_0))
Eq(F_136(x, k_0), F_109(x, k_0))
Eq(F_137(x), F_138(x)/F_13(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_141(x))
Eq(F_140(x), F_102(x) + F_2(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_13(x)*F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) - F_147(x))
Eq(F_145(x), F_146(x)/F_13(x))
Eq(F_146(x), F_102(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_13(x))
Eq(F_149(x), F_106(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_0(x) + F_140(x))
Eq(F_152(x), F_153(x) - F_156(x))
Eq(F_153(x), F_154(x)/F_13(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_10(x) - F_2(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_13(x)*F_150(x)*F_74(x))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_13(x)*F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_171(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0) + F_169(x, k_0))
Eq(F_163(x, k_0), F_13(x)*F_16(x)*F_162(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_167(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_112(x, k_0), F_124(x, k_0) + F_166(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_13(x)*F_162(x, k_0)*F_17(x))
Eq(F_169(x, k_0), F_170(x))
Eq(F_170(x), F_14(x) + F_5(x))
Eq(F_171(x, k_0), F_19(x))
Eq(F_172(x), F_173(x) + F_4(x))
Eq(F_173(x), F_174(x) + F_76(x))
Eq(F_174(x), F_70(x))
Eq(F_175(x, k_0), F_176(x, k_0))
Eq(F_176(x, k_0), F_13(x)*F_177(x, k_0))
Eq(F_177(x, k_0), -F_178(x, 1) + (-k_0*F_178(x, k_0) + F_178(x, 1))/(1 - k_0))
Eq(F_58(x, k_0), F_178(x, k_0) + F_179(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_151(x)*F_4(x))
Eq(F_181(x), F_107(x) + F_62(x))
Eq(F_182(x, k_0), F_183(x, k_0) + F_187(x, k_0))
Eq(F_183(x, k_0), F_106(x)*F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0) + F_4(x))
Eq(F_185(x, k_0), F_186(x, k_0))
Eq(F_186(x, k_0), F_34(x, k_0)*F_41(x, k_0))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_106(x)*F_13(x)*F_55(x, k_0))
Eq(F_189(x, k_0), F_151(x)*F_184(x, k_0))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [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": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 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": [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, 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": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 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": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"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": [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, 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": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], 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[0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "ComponentToPointAssumptionStrategy", "ignore_parent": false, "inferrable": false, "possibly_empty": false, "workable": false, "assumption": {"class_module": "tilings.assumptions", "assumption": "SumComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 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": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24436/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[13,x]*F[7,x]
F[7,x] = F[19,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = -F[0,x]+F[11,x]
F[11,x] = 1/F[13,x]*F[12,x]
F[12,x] = F[2,x]
F[13,x] = x
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[16,x]*F[5,x]
F[16,x] = F[1,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[13,x]*F[16,x]
F[19,x] = F[20,x]
F[20,x] = F[13,x]*F[16,x]*F[21,x]
F[21,x] = F[22,x]+F[52,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[4,x]
F[24,x] = F[25,x]
F[25,x] = F[13,x]*F[26,x]
F[26,x] = F[27,x]+F[51,x]
F[27,x] = F[28,x]+F[49,x]
F[28,x] = F[29,x,1]
F[29,x,k[0]] = F[30,x,k[0]]+F[39,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]+F[35,x,k[0]]
F[31,x,k[0]] = F[1,x]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[33,x,k[0]] = F[31,x,k[0]]*F[34,x,k[0]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0]] = F[2,x]+F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[34,x,k[0]]*F[38,x,k[0]]
F[38,x,k[0]] = F[35,x,k[0]]+F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[13,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]+F[45,x,k[0]]
F[42,x,k[0]] = F[29,x,k[0]]+F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[13,x]*F[16,x]*F[29,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = F[35,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[13,x]*F[45,x,k[0]]
F[49,x] = F[50,x]
F[50,x] = F[13,x]*F[16,x]*F[28,x]
F[51,x] = F[45,x,1]
F[52,x] = F[53,x]
F[53,x] = F[13,x]*F[4,x]*F[54,x]
F[54,x] = F[55,x,1]
F[56,x,k[0]] = F[13,x]*F[151,x]*F[55,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[58,x,k[0]] = F[189,x,k[0]]+F[57,x,k[0]]
F[58,x,k[0]] = F[182,x,k[0]]+F[59,x,k[0]]
F[59,x,k[0]] = F[109,x,k[0]]+F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[0,x]*F[4,x]
F[62,x] = F[63,x]
F[63,x] = F[0,x]*F[13,x]*F[64,x]
F[64,x] = 1/F[13,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[94,x]+F[67,x]
F[67,x] = 1/F[13,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[13,x]*F[71,x]
F[71,x] = F[72,x]+F[90,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]*F[13,x]*F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[0,x]+F[76,x]
F[76,x] = F[2,x]+F[69,x]
F[77,x] = F[78,x]
F[78,x] = F[13,x]*F[79,x]
F[79,x] = F[80,x]+F[89,x]
F[80,x] = F[81,x]+F[87,x]
F[81,x] = F[82,x]+F[85,x]
F[82,x] = F[0,x]+F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[13,x]*F[81,x]
F[85,x] = F[86,x]
F[86,x] = F[13,x]*F[79,x]
F[87,x] = F[88,x]
F[88,x] = F[13,x]*F[74,x]*F[81,x]
F[89,x] = F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[13,x]*F[92,x]
F[92,x] = F[10,x]
F[93,x] = F[11,x]+F[72,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[2,x]+F[69,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[2,x]^2
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[13,x]
F[100,x] = F[101,x]+F[107,x]
F[101,x] = F[102,x]*F[4,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[13,x]
F[104,x] = F[105,x]+F[66,x]
F[105,x] = F[106,x]+F[96,x]
F[106,x] = F[102,x]+F[2,x]
F[107,x] = F[108,x]
F[108,x] = F[106,x]*F[13,x]*F[64,x]
F[109,x,k[0]] = F[110,x,k[0]]+F[175,x,k[0]]
F[111,x,k[0]] = F[110,x,k[0]]+F[172,x]
F[111,x,k[0]] = F[112,x,k[0]]+F[158,x,k[0]]
F[113,x,k[0]] = F[112,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[4,x]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]*F[34,x,k[0]]
F[119,x,k[0]] = F[118,x,k[0]]*F[13,x]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]*F[13,x]
F[122,x,k[0]] = F[123,x,k[0]]+F[128,x,k[0]]
F[123,x,k[0]] = F[11,x]*F[124,x,k[0]]
F[124,x,k[0]] = F[0,x]+F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]*F[34,x,k[0]]
F[127,x,k[0]] = F[120,x,k[0]]+F[124,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[13,x]*F[130,x,k[0]]*F[131,x,k[0]]
F[130,x,k[0]] = F[124,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]
F[133,x,k[0]] = F[13,x]*F[132,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[13,x]*F[135,x,k[0]]
F[136,x,k[0]] = F[135,x,k[0]]*F[34,x,k[0]]
F[136,x,k[0]] = F[109,x,k[0]]
F[137,x] = 1/F[13,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[141,x]
F[140,x] = F[102,x]+F[2,x]
F[141,x] = F[142,x]
F[142,x] = F[13,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = -F[147,x]+F[145,x]
F[145,x] = 1/F[13,x]*F[146,x]
F[146,x] = F[102,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[13,x]*F[149,x]
F[149,x] = F[106,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[0,x]+F[140,x]
F[152,x] = -F[156,x]+F[153,x]
F[153,x] = 1/F[13,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[2,x]+F[10,x]
F[156,x] = F[157,x]
F[157,x] = F[13,x]*F[150,x]*F[74,x]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[13,x]*F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[171,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]+F[169,x,k[0]]
F[163,x,k[0]] = F[13,x]*F[16,x]*F[162,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[167,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[112,x,k[0]] = F[124,x,k[0]]+F[166,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[13,x]*F[162,x,k[0]]*F[17,x]
F[169,x,k[0]] = F[170,x]
F[170,x] = F[14,x]+F[5,x]
F[171,x,k[0]] = F[19,x]
F[172,x] = F[173,x]+F[4,x]
F[173,x] = F[174,x]+F[76,x]
F[174,x] = F[70,x]
F[175,x,k[0]] = F[176,x,k[0]]
F[176,x,k[0]] = F[13,x]*F[177,x,k[0]]
F[177,x,k[0]] = -k[0]*(F[178,x,1]-F[178,x,k[0]])/(-1+k[0])
F[58,x,k[0]] = F[178,x,k[0]]+F[179,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[151,x]*F[4,x]
F[181,x] = F[107,x]+F[62,x]
F[182,x,k[0]] = F[183,x,k[0]]+F[187,x,k[0]]
F[183,x,k[0]] = F[106,x]*F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]+F[4,x]
F[185,x,k[0]] = F[186,x,k[0]]
F[186,x,k[0]] = F[34,x,k[0]]*F[41,x,k[0]]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[106,x]*F[13,x]*F[55,x,k[0]]
F[189,x,k[0]] = F[151,x]*F[184,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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{13}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{5}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{52}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{51}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{49}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{28}\! \left(x \right)
F_{51}\! \left(x \right) = F_{45}\! \left(x , 1\right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{151}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{189}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{13}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{90}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{0}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{89}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{87}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{13}\! \left(x \right) F_{81}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{13}\! \left(x \right) F_{74}\! \left(x \right) F_{81}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{10}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right)+F_{72}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{13}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{107}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{13}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{66}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{96}\! \left(x \right)
F_{106}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{172}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{128}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{130}\! \left(x , y\right) F_{131}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{135}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{141}\! \left(x \right)
F_{140}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{13}\! \left(x \right) F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{102}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{106}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right)+F_{140}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{10}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{13}\! \left(x \right) F_{150}\! \left(x \right) F_{74}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{162}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{166}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{162}\! \left(x , y\right) F_{17}\! \left(x \right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{14}\! \left(x \right)+F_{5}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{19}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{70}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{177}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = -\frac{y \left(F_{178}\! \left(x , 1\right)-F_{178}\! \left(x , y\right)\right)}{-1+y}
F_{58}\! \left(x , y\right) = F_{178}\! \left(x , y\right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{151}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{107}\! \left(x \right)+F_{62}\! \left(x \right)
F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{151}\! \left(x \right) F_{184}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_13(x)*F_7(x))
Eq(F_7(x), F_19(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), -F_0(x) + F_11(x))
Eq(F_11(x), F_12(x)/F_13(x))
Eq(F_12(x), F_2(x))
Eq(F_13(x), x)
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_16(x)*F_5(x))
Eq(F_16(x), F_1(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_13(x)*F_16(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_13(x)*F_16(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_52(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_4(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_13(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_51(x))
Eq(F_27(x), F_28(x) + F_49(x))
Eq(F_28(x), F_29(x, 1))
Eq(F_29(x, k_0), F_30(x, k_0) + F_39(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0) + F_35(x, k_0))
Eq(F_31(x, k_0), F_1(x) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_33(x, k_0), F_31(x, k_0)*F_34(x, k_0))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0), F_2(x) + F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_34(x, k_0)*F_38(x, k_0))
Eq(F_38(x, k_0), F_35(x, k_0) + F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_13(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0) + F_45(x, k_0))
Eq(F_42(x, k_0), F_29(x, k_0) + F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_13(x)*F_16(x)*F_29(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), F_35(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_13(x)*F_45(x, k_0))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_13(x)*F_16(x)*F_28(x))
Eq(F_51(x), F_45(x, 1))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_13(x)*F_4(x)*F_54(x))
Eq(F_54(x), F_55(x, 1))
Eq(F_56(x, k_0), F_13(x)*F_151(x)*F_55(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_58(x, k_0), F_189(x, k_0) + F_57(x, k_0))
Eq(F_58(x, k_0), F_182(x, k_0) + F_59(x, k_0))
Eq(F_59(x, k_0), F_109(x, k_0) + F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_0(x)*F_4(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_0(x)*F_13(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_13(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_94(x))
Eq(F_67(x), F_68(x)/F_13(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_13(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_90(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)*F_13(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_0(x) + F_76(x))
Eq(F_76(x), F_2(x) + F_69(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_13(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_89(x))
Eq(F_80(x), F_81(x) + F_87(x))
Eq(F_81(x), F_82(x) + F_85(x))
Eq(F_82(x), F_0(x) + F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_13(x)*F_81(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_13(x)*F_79(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_13(x)*F_74(x)*F_81(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_13(x))
Eq(F_92(x), F_10(x))
Eq(F_93(x), F_11(x) + F_72(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_2(x) + F_69(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_2(x)**2)
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_13(x))
Eq(F_100(x), F_101(x) + F_107(x))
Eq(F_101(x), F_102(x)*F_4(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_13(x))
Eq(F_104(x), F_105(x) + F_66(x))
Eq(F_105(x), F_106(x) + F_96(x))
Eq(F_106(x), F_102(x) + F_2(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_106(x)*F_13(x)*F_64(x))
Eq(F_109(x, k_0), F_110(x, k_0) + F_175(x, k_0))
Eq(F_111(x, k_0), F_110(x, k_0) + F_172(x))
Eq(F_111(x, k_0), F_112(x, k_0) + F_158(x, k_0))
Eq(F_113(x, k_0), F_112(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_4(x))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0)*F_34(x, k_0))
Eq(F_119(x, k_0), F_118(x, k_0)*F_13(x))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0)*F_13(x))
Eq(F_122(x, k_0), F_123(x, k_0) + F_128(x, k_0))
Eq(F_123(x, k_0), F_11(x)*F_124(x, k_0))
Eq(F_124(x, k_0), F_0(x) + F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0)*F_34(x, k_0))
Eq(F_127(x, k_0), F_120(x, k_0) + F_124(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_13(x)*F_130(x, k_0)*F_131(x, k_0))
Eq(F_130(x, k_0), F_124(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_133(x, k_0), F_13(x)*F_132(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_13(x)*F_135(x, k_0))
Eq(F_136(x, k_0), F_135(x, k_0)*F_34(x, k_0))
Eq(F_136(x, k_0), F_109(x, k_0))
Eq(F_137(x), F_138(x)/F_13(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_141(x))
Eq(F_140(x), F_102(x) + F_2(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_13(x)*F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) - F_147(x))
Eq(F_145(x), F_146(x)/F_13(x))
Eq(F_146(x), F_102(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_13(x))
Eq(F_149(x), F_106(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_0(x) + F_140(x))
Eq(F_152(x), F_153(x) - F_156(x))
Eq(F_153(x), F_154(x)/F_13(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_10(x) - F_2(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_13(x)*F_150(x)*F_74(x))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_13(x)*F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_171(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0) + F_169(x, k_0))
Eq(F_163(x, k_0), F_13(x)*F_16(x)*F_162(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_167(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_112(x, k_0), F_124(x, k_0) + F_166(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_13(x)*F_162(x, k_0)*F_17(x))
Eq(F_169(x, k_0), F_170(x))
Eq(F_170(x), F_14(x) + F_5(x))
Eq(F_171(x, k_0), F_19(x))
Eq(F_172(x), F_173(x) + F_4(x))
Eq(F_173(x), F_174(x) + F_76(x))
Eq(F_174(x), F_70(x))
Eq(F_175(x, k_0), F_176(x, k_0))
Eq(F_176(x, k_0), F_13(x)*F_177(x, k_0))
Eq(F_177(x, k_0), -F_178(x, 1) + (-k_0*F_178(x, k_0) + F_178(x, 1))/(1 - k_0))
Eq(F_58(x, k_0), F_178(x, k_0) + F_179(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_151(x)*F_4(x))
Eq(F_181(x), F_107(x) + F_62(x))
Eq(F_182(x, k_0), F_183(x, k_0) + F_187(x, k_0))
Eq(F_183(x, k_0), F_106(x)*F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0) + F_4(x))
Eq(F_185(x, k_0), F_186(x, k_0))
Eq(F_186(x, k_0), F_34(x, k_0)*F_41(x, k_0))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_106(x)*F_13(x)*F_55(x, k_0))
Eq(F_189(x, k_0), F_151(x)*F_184(x, k_0))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[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], [3, 1, 0, 4, 2], [3, 1, 4, 0, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[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], [3, 1, 0, 4, 2], [3, 1, 4, 0, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[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], [3, 1, 0, 4, 2], [3, 1, 4, 0, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 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": [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, 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": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 4, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 1, 4, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 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": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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{"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 0], [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, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 4], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 0], [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, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 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"pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 4, 0, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 4, 3, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 0, 4, 2], "pos": [[0, 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"tilings.strategies.rearrange_assumption", "strategy_class": "ComponentToPointAssumptionStrategy", "ignore_parent": false, "inferrable": false, "possibly_empty": false, "workable": false, "assumption": {"class_module": "tilings.assumptions", "assumption": "SumComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 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": 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"comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": 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": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 3
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24665/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[13,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[13,x]*F[7,x]
F[7,x] = F[19,x]+F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[14,x]
F[10,x] = -F[0,x]+F[11,x]
F[11,x] = 1/F[13,x]*F[12,x]
F[12,x] = F[2,x]
F[13,x] = x
F[14,x] = F[15,x]
F[15,x] = F[13,x]*F[16,x]*F[5,x]
F[16,x] = F[1,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[13,x]*F[16,x]
F[19,x] = F[20,x]
F[20,x] = F[13,x]*F[16,x]*F[21,x]
F[21,x] = F[22,x]+F[52,x]
F[22,x] = F[23,x]*F[4,x]
F[23,x] = F[24,x]+F[4,x]
F[24,x] = F[25,x]
F[25,x] = F[13,x]*F[26,x]
F[26,x] = F[27,x]+F[51,x]
F[27,x] = F[28,x]+F[49,x]
F[28,x] = F[29,x,1]
F[29,x,k[0]] = F[30,x,k[0]]+F[39,x,k[0]]
F[30,x,k[0]] = F[31,x,k[0]]+F[35,x,k[0]]
F[31,x,k[0]] = F[1,x]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[33,x,k[0]] = F[31,x,k[0]]*F[34,x,k[0]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0]] = F[2,x]+F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[34,x,k[0]]*F[38,x,k[0]]
F[38,x,k[0]] = F[35,x,k[0]]+F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[13,x]*F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]+F[45,x,k[0]]
F[42,x,k[0]] = F[29,x,k[0]]+F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]
F[44,x,k[0]] = F[13,x]*F[16,x]*F[29,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[47,x,k[0]]
F[46,x,k[0]] = F[35,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[13,x]*F[45,x,k[0]]
F[49,x] = F[50,x]
F[50,x] = F[13,x]*F[16,x]*F[28,x]
F[51,x] = F[45,x,1]
F[52,x] = F[53,x]
F[53,x] = F[13,x]*F[4,x]*F[54,x]
F[54,x] = F[55,x,1]
F[56,x,k[0]] = F[13,x]*F[151,x]*F[55,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]
F[58,x,k[0]] = F[189,x,k[0]]+F[57,x,k[0]]
F[58,x,k[0]] = F[182,x,k[0]]+F[59,x,k[0]]
F[59,x,k[0]] = F[109,x,k[0]]+F[60,x]
F[60,x] = F[61,x]+F[62,x]
F[61,x] = F[0,x]*F[4,x]
F[62,x] = F[63,x]
F[63,x] = F[0,x]*F[13,x]*F[64,x]
F[64,x] = 1/F[13,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[94,x]+F[67,x]
F[67,x] = 1/F[13,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[13,x]*F[71,x]
F[71,x] = F[72,x]+F[90,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]*F[13,x]*F[74,x]
F[74,x] = F[75,x]+F[77,x]
F[75,x] = F[0,x]+F[76,x]
F[76,x] = F[2,x]+F[69,x]
F[77,x] = F[78,x]
F[78,x] = F[13,x]*F[79,x]
F[79,x] = F[80,x]+F[89,x]
F[80,x] = F[81,x]+F[87,x]
F[81,x] = F[82,x]+F[85,x]
F[82,x] = F[0,x]+F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[13,x]*F[81,x]
F[85,x] = F[86,x]
F[86,x] = F[13,x]*F[79,x]
F[87,x] = F[88,x]
F[88,x] = F[13,x]*F[74,x]*F[81,x]
F[89,x] = F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[13,x]*F[92,x]
F[92,x] = F[10,x]
F[93,x] = F[11,x]+F[72,x]
F[94,x] = F[95,x]+F[96,x]
F[95,x] = F[2,x]+F[69,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[2,x]^2
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[13,x]
F[100,x] = F[101,x]+F[107,x]
F[101,x] = F[102,x]*F[4,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[13,x]
F[104,x] = F[105,x]+F[66,x]
F[105,x] = F[106,x]+F[96,x]
F[106,x] = F[102,x]+F[2,x]
F[107,x] = F[108,x]
F[108,x] = F[106,x]*F[13,x]*F[64,x]
F[109,x,k[0]] = F[110,x,k[0]]+F[175,x,k[0]]
F[111,x,k[0]] = F[110,x,k[0]]+F[172,x]
F[111,x,k[0]] = F[112,x,k[0]]+F[158,x,k[0]]
F[113,x,k[0]] = F[112,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[13,x]*F[137,x]*F[31,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]+F[4,x]
F[116,x,k[0]] = F[117,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]*F[34,x,k[0]]
F[119,x,k[0]] = F[118,x,k[0]]*F[13,x]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]*F[13,x]
F[122,x,k[0]] = F[123,x,k[0]]+F[128,x,k[0]]
F[123,x,k[0]] = F[11,x]*F[124,x,k[0]]
F[124,x,k[0]] = F[0,x]+F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]*F[34,x,k[0]]
F[127,x,k[0]] = F[120,x,k[0]]+F[124,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[13,x]*F[130,x,k[0]]*F[131,x,k[0]]
F[130,x,k[0]] = F[124,x,k[0]]
F[131,x,k[0]] = F[132,x,k[0]]
F[133,x,k[0]] = F[13,x]*F[132,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[13,x]*F[135,x,k[0]]
F[136,x,k[0]] = F[135,x,k[0]]*F[34,x,k[0]]
F[136,x,k[0]] = F[109,x,k[0]]
F[137,x] = 1/F[13,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[141,x]
F[140,x] = F[102,x]+F[2,x]
F[141,x] = F[142,x]
F[142,x] = F[13,x]*F[143,x]
F[143,x] = F[144,x]
F[144,x] = -F[147,x]+F[145,x]
F[145,x] = 1/F[13,x]*F[146,x]
F[146,x] = F[102,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[13,x]*F[149,x]
F[149,x] = F[106,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[0,x]+F[140,x]
F[152,x] = -F[156,x]+F[153,x]
F[153,x] = 1/F[13,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[2,x]+F[10,x]
F[156,x] = F[157,x]
F[157,x] = F[13,x]*F[150,x]*F[74,x]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = F[13,x]*F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[171,x,k[0]]
F[161,x,k[0]] = F[162,x,k[0]]+F[169,x,k[0]]
F[163,x,k[0]] = F[13,x]*F[16,x]*F[162,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[167,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[112,x,k[0]] = F[124,x,k[0]]+F[166,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[13,x]*F[162,x,k[0]]*F[17,x]
F[169,x,k[0]] = F[170,x]
F[170,x] = F[14,x]+F[5,x]
F[171,x,k[0]] = F[19,x]
F[172,x] = F[173,x]+F[4,x]
F[173,x] = F[174,x]+F[76,x]
F[174,x] = F[70,x]
F[175,x,k[0]] = F[176,x,k[0]]
F[176,x,k[0]] = F[13,x]*F[177,x,k[0]]
F[177,x,k[0]] = -k[0]*(F[178,x,1]-F[178,x,k[0]])/(-1+k[0])
F[58,x,k[0]] = F[178,x,k[0]]+F[179,x]
F[179,x] = F[180,x]+F[181,x]
F[180,x] = F[151,x]*F[4,x]
F[181,x] = F[107,x]+F[62,x]
F[182,x,k[0]] = F[183,x,k[0]]+F[187,x,k[0]]
F[183,x,k[0]] = F[106,x]*F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]+F[4,x]
F[185,x,k[0]] = F[186,x,k[0]]
F[186,x,k[0]] = F[34,x,k[0]]*F[41,x,k[0]]
F[187,x,k[0]] = F[188,x,k[0]]
F[188,x,k[0]] = F[106,x]*F[13,x]*F[55,x,k[0]]
F[189,x,k[0]] = F[151,x]*F[184,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_{13}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{13}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{19}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{10}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = x
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{5}\! \left(x \right)
F_{16}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{52}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{4}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{13}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{51}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{49}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{31}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y\right) = F_{2}\! \left(x \right)+F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{35}\! \left(x , y\right)+F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{28}\! \left(x \right)
F_{51}\! \left(x \right) = F_{45}\! \left(x , 1\right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{13}\! \left(x \right) F_{4}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{151}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{189}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{62}\! \left(x \right)
F_{61}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{94}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{13}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{90}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{13}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{77}\! \left(x \right)
F_{75}\! \left(x \right) = F_{0}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{89}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{87}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{85}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{13}\! \left(x \right) F_{81}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{13}\! \left(x \right) F_{79}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{13}\! \left(x \right) F_{74}\! \left(x \right) F_{81}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{10}\! \left(x \right)
F_{93}\! \left(x \right) = F_{11}\! \left(x \right)+F_{72}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)
F_{95}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{13}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{107}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{13}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{66}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{96}\! \left(x \right)
F_{106}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{64}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{110}\! \left(x , y\right)+F_{172}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{13}\! \left(x \right) F_{137}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{13}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{128}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{124}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{130}\! \left(x , y\right) F_{131}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{124}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{135}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{141}\! \left(x \right)
F_{140}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{13}\! \left(x \right) F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{102}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{106}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{0}\! \left(x \right)+F_{140}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{13}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{10}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{13}\! \left(x \right) F_{150}\! \left(x \right) F_{74}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{16}\! \left(x \right) F_{162}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{166}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{162}\! \left(x , y\right) F_{17}\! \left(x \right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{14}\! \left(x \right)+F_{5}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{19}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{76}\! \left(x \right)
F_{174}\! \left(x \right) = F_{70}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{13}\! \left(x \right) F_{177}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = -\frac{y \left(F_{178}\! \left(x , 1\right)-F_{178}\! \left(x , y\right)\right)}{-1+y}
F_{58}\! \left(x , y\right) = F_{178}\! \left(x , y\right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)
F_{180}\! \left(x \right) = F_{151}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{107}\! \left(x \right)+F_{62}\! \left(x \right)
F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{187}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{41}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{188}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{106}\! \left(x \right) F_{13}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{151}\! \left(x \right) F_{184}\! \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_13(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_13(x)*F_7(x))
Eq(F_7(x), F_19(x) + F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_14(x))
Eq(F_10(x), -F_0(x) + F_11(x))
Eq(F_11(x), F_12(x)/F_13(x))
Eq(F_12(x), F_2(x))
Eq(F_13(x), x)
Eq(F_14(x), F_15(x))
Eq(F_15(x), F_13(x)*F_16(x)*F_5(x))
Eq(F_16(x), F_1(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_13(x)*F_16(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_13(x)*F_16(x)*F_21(x))
Eq(F_21(x), F_22(x) + F_52(x))
Eq(F_22(x), F_23(x)*F_4(x))
Eq(F_23(x), F_24(x) + F_4(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_13(x)*F_26(x))
Eq(F_26(x), F_27(x) + F_51(x))
Eq(F_27(x), F_28(x) + F_49(x))
Eq(F_28(x), F_29(x, 1))
Eq(F_29(x, k_0), F_30(x, k_0) + F_39(x, k_0))
Eq(F_30(x, k_0), F_31(x, k_0) + F_35(x, k_0))
Eq(F_31(x, k_0), F_1(x) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_33(x, k_0), F_31(x, k_0)*F_34(x, k_0))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0), F_2(x) + F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_34(x, k_0)*F_38(x, k_0))
Eq(F_38(x, k_0), F_35(x, k_0) + F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_13(x)*F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0) + F_45(x, k_0))
Eq(F_42(x, k_0), F_29(x, k_0) + F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0))
Eq(F_44(x, k_0), F_13(x)*F_16(x)*F_29(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_47(x, k_0))
Eq(F_46(x, k_0), F_35(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_13(x)*F_45(x, k_0))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_13(x)*F_16(x)*F_28(x))
Eq(F_51(x), F_45(x, 1))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_13(x)*F_4(x)*F_54(x))
Eq(F_54(x), F_55(x, 1))
Eq(F_56(x, k_0), F_13(x)*F_151(x)*F_55(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0))
Eq(F_58(x, k_0), F_189(x, k_0) + F_57(x, k_0))
Eq(F_58(x, k_0), F_182(x, k_0) + F_59(x, k_0))
Eq(F_59(x, k_0), F_109(x, k_0) + F_60(x))
Eq(F_60(x), F_61(x) + F_62(x))
Eq(F_61(x), F_0(x)*F_4(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_0(x)*F_13(x)*F_64(x))
Eq(F_64(x), F_65(x)/F_13(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_94(x))
Eq(F_67(x), F_68(x)/F_13(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_13(x)*F_71(x))
Eq(F_71(x), F_72(x) + F_90(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)*F_13(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_77(x))
Eq(F_75(x), F_0(x) + F_76(x))
Eq(F_76(x), F_2(x) + F_69(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_13(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_89(x))
Eq(F_80(x), F_81(x) + F_87(x))
Eq(F_81(x), F_82(x) + F_85(x))
Eq(F_82(x), F_0(x) + F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_13(x)*F_81(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_13(x)*F_79(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_13(x)*F_74(x)*F_81(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_13(x))
Eq(F_92(x), F_10(x))
Eq(F_93(x), F_11(x) + F_72(x))
Eq(F_94(x), F_95(x) + F_96(x))
Eq(F_95(x), F_2(x) + F_69(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_2(x)**2)
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_13(x))
Eq(F_100(x), F_101(x) + F_107(x))
Eq(F_101(x), F_102(x)*F_4(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_13(x))
Eq(F_104(x), F_105(x) + F_66(x))
Eq(F_105(x), F_106(x) + F_96(x))
Eq(F_106(x), F_102(x) + F_2(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_106(x)*F_13(x)*F_64(x))
Eq(F_109(x, k_0), F_110(x, k_0) + F_175(x, k_0))
Eq(F_111(x, k_0), F_110(x, k_0) + F_172(x))
Eq(F_111(x, k_0), F_112(x, k_0) + F_158(x, k_0))
Eq(F_113(x, k_0), F_112(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_13(x)*F_137(x)*F_31(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0) + F_4(x))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0)*F_34(x, k_0))
Eq(F_119(x, k_0), F_118(x, k_0)*F_13(x))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0)*F_13(x))
Eq(F_122(x, k_0), F_123(x, k_0) + F_128(x, k_0))
Eq(F_123(x, k_0), F_11(x)*F_124(x, k_0))
Eq(F_124(x, k_0), F_0(x) + F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0)*F_34(x, k_0))
Eq(F_127(x, k_0), F_120(x, k_0) + F_124(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_13(x)*F_130(x, k_0)*F_131(x, k_0))
Eq(F_130(x, k_0), F_124(x, k_0))
Eq(F_131(x, k_0), F_132(x, k_0))
Eq(F_133(x, k_0), F_13(x)*F_132(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_13(x)*F_135(x, k_0))
Eq(F_136(x, k_0), F_135(x, k_0)*F_34(x, k_0))
Eq(F_136(x, k_0), F_109(x, k_0))
Eq(F_137(x), F_138(x)/F_13(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_141(x))
Eq(F_140(x), F_102(x) + F_2(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_13(x)*F_143(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x) - F_147(x))
Eq(F_145(x), F_146(x)/F_13(x))
Eq(F_146(x), F_102(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_13(x))
Eq(F_149(x), F_106(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_0(x) + F_140(x))
Eq(F_152(x), F_153(x) - F_156(x))
Eq(F_153(x), F_154(x)/F_13(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), F_10(x) - F_2(x))
Eq(F_156(x), F_157(x))
Eq(F_157(x), F_13(x)*F_150(x)*F_74(x))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), F_13(x)*F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_171(x, k_0))
Eq(F_161(x, k_0), F_162(x, k_0) + F_169(x, k_0))
Eq(F_163(x, k_0), F_13(x)*F_16(x)*F_162(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_167(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_112(x, k_0), F_124(x, k_0) + F_166(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_13(x)*F_162(x, k_0)*F_17(x))
Eq(F_169(x, k_0), F_170(x))
Eq(F_170(x), F_14(x) + F_5(x))
Eq(F_171(x, k_0), F_19(x))
Eq(F_172(x), F_173(x) + F_4(x))
Eq(F_173(x), F_174(x) + F_76(x))
Eq(F_174(x), F_70(x))
Eq(F_175(x, k_0), F_176(x, k_0))
Eq(F_176(x, k_0), F_13(x)*F_177(x, k_0))
Eq(F_177(x, k_0), -F_178(x, 1) + (-k_0*F_178(x, k_0) + F_178(x, 1))/(1 - k_0))
Eq(F_58(x, k_0), F_178(x, k_0) + F_179(x))
Eq(F_179(x), F_180(x) + F_181(x))
Eq(F_180(x), F_151(x)*F_4(x))
Eq(F_181(x), F_107(x) + F_62(x))
Eq(F_182(x, k_0), F_183(x, k_0) + F_187(x, k_0))
Eq(F_183(x, k_0), F_106(x)*F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0) + F_4(x))
Eq(F_185(x, k_0), F_186(x, k_0))
Eq(F_186(x, k_0), F_34(x, k_0)*F_41(x, k_0))
Eq(F_187(x, k_0), F_188(x, k_0))
Eq(F_188(x, k_0), F_106(x)*F_13(x)*F_55(x, k_0))
Eq(F_189(x, k_0), F_151(x)*F_184(x, k_0))
Pack JSON:
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Specification JSON:
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