01324_01342_01432_10324_10342_10432_13024_13042
Counting sequence:
1, 1, 2, 6, 24, 112, 562, 2915, 15356, 81510, 434336, 2319187, 12397680, 66317642, 354884865, 1899555666, 10169190679, 54446410208, 291532970251, 1561110044374, 8359905777663, 44770042916002, 239766844994470, 1284115481959674, 6877500396542115, 36835561193821346, 197293522795585003, 1056735125386349346, 5660128386580235254, 30317431286339566656, 162391674439045111799, 869840653432972811263, 4659288999478442373738, 24957615841691842676603, 133687128440452782048600, 716108379773273992070627, 3835926135671327908603907, 20547724563456477280805336, 110067472348538875610681089, 589597700141367277445976007, 3158303774753560218329379371, 16918161865124125099548857000, 90626135113542075921047023847, 485461304660547137409504004719, 2600498096015976518297424302941, 13930256859517977479098045111461, 74621209749002972510076023718821, 399729268146370156084112299055534, 2141263175418706418361903082216876, 11470293439044360447902067426018311, 61443980090950903959205570944864982, 329142860875060367303822413515197762, 1763152149630284969017298706754118411, 9444856446407803380625636931905620042, 50594245401390886329186318474687588701, 271023563404804516897841213336288841723, 1451821169160118775003102442076911700304, 7777129400128678291911260300636200368218, 41660611113989794730897493365734962105959, 223168063146235191902600940669032722501784, 1195469599953224820205367800394767036085957, 6403908280455145944841854438679794148069402, 34304550583887406018454429480129101361411952, 183763147794886708412304618734690411865959474, 984385387786103526617051850712262202552068109, 5273172014021130635877569772081047540396379475, 28247417990762732962188897431556595553295850920, 151316263136230640898316014189427878993267519328, 810573661192517427705466290515808659132158201640, 4342095721118768549610972076599332219774756273522, 23259818473998848586111751764189977936947413523043, 124598630370807924035958908373476020064304993856937, 667452298491471526994328609915463117415898252411151, 3575421213364179062965826625505001045133546679542999, 19152885187726460440936792232270884052172774534916039, 102598546829421010736281180335272965806298585005579395, 549601898341491045580921564354800887139537204202002151, 2944118237574664985203730564994379344178732017107415159, 15771110652031282945418129290278136304081130373543596007, 84482997988871450092799151644800525845561039995393274364, 452560203663508130617567743829667377034895314333455535098, 2424283528345154426241856386834102802218225018953125580720, 12986450513211587072157498014361105475192245674577015336653, 69566078619995438389867526998979375603360830303855374498522, 372652968567071161066425152186248126519009591090921292244625, 1996234928789919562709965025080441719714515778701865633401207, 10693471547964641193943762930523876809166501386673750453718984, 57283004493852714014328795178370007591133428304069282279455225, 306854757646654625712093637458912435274383443443020639804925786, 1643765782486718633793272322659642520245871893326406754622337563, 8805357879655238020981918290044528428452597204956830940343028606, 47168719826019576433347147886118261489002268905209045844370817619, 252674356582815945084618754962028923592761532113240071364043805537, 1353531129939572853113163064475658910528796795946819094654748884371, 7250623089640809867279891182333209242639951426566182788586251321237, 38840285334814734595712107067365881932492299132489045158660146431304, 208060431356205068851032058319261764198147803032549230758196739170564, 1114542357049074415226309920103359507128725116372562021127418185767877, 5970403210816220818846737478334784213650579036846873993149307414069705, 31982377626782407970507711830438360672433572730054323472265971814617992, 171323852622684275546425481465647326378211870871450473918415864277673521
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25089/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = (x*F[6,x]^3+(2*x-1)*F[6,x]^2+(x^2-x+1)*F[6,x]+x^2)*(1+F[6,x])
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[21,x]
F[13,x] = F[14,x]+F[198,x]
F[14,x] = F[126,x]*F[15,x]
F[15,x] = F[16,x]+F[22,x]
F[16,x] = F[0,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[21,x]
F[19,x] = 1/F[21,x]*F[20,x]
F[20,x] = F[5,x]
F[21,x] = x
F[22,x] = F[23,x]+F[25,x]
F[23,x] = F[24,x]*F[6,x]
F[24,x] = F[1,x]+F[21,x]
F[25,x] = F[26,x]
F[26,x] = F[21,x]*F[27,x]
F[27,x] = F[28,x]+F[68,x]
F[28,x] = F[29,x]+F[9,x]
F[29,x] = F[30,x]*F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[21,x]*F[32,x]
F[32,x] = F[33,x]+F[46,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+x*F[34,x]^4+F[34,x]^2*(x^2-2*x+3)+F[34,x]^3*(-1-x)+(-2+2*x)*F[34,x]
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = F[38,x]+F[42,x]
F[38,x] = F[34,x]*F[39,x]
F[39,x] = F[34,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[37,x]
F[42,x] = F[40,x]*F[43,x]
F[43,x] = F[1,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[43,x]^2*F[21,x]
F[46,x] = -F[49,x]+F[47,x]
F[47,x] = 1/F[21,x]*F[48,x]
F[48,x] = F[7,x]
F[49,x] = F[50,x]
F[50,x] = F[21,x]*F[51,x]
F[51,x] = 1/F[21,x]*F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[54,x]+F[62,x]
F[54,x] = F[55,x]
F[55,x] = F[16,x]*F[21,x]*F[56,x]
F[56,x] = 1/F[0,x]*F[57,x]
F[57,x] = -F[60,x]+F[58,x]
F[58,x] = 1/F[21,x]*F[59,x]
F[59,x] = F[5,x]
F[60,x] = F[61,x]
F[61,x] = F[13,x]*F[21,x]
F[62,x] = F[63,x]
F[63,x] = F[21,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[22,x]*F[56,x]
F[66,x] = F[43,x]*F[67,x]
F[67,x] = -F[15,x]+F[19,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[6,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[21,x]*F[72,x]
F[72,x] = F[4,x]+F[53,x]
F[73,x] = -F[123,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[117,x]*F[21,x]*F[76,x]
F[76,x] = 1/F[33,x]*F[77,x]
F[77,x] = -F[84,x]+F[78,x]
F[78,x] = 1/F[21,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[112,x]+F[81,x]
F[81,x] = F[109,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[21,x]*F[84,x]
F[84,x] = 1/F[21,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = -F[102,x]+F[87,x]
F[87,x] = 1/F[21,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[99,x]+F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[21,x]*F[92,x]
F[92,x] = F[7,x]
F[93,x] = F[94,x]+F[95,x]
F[94,x] = F[2,x]*F[34,x]
F[95,x] = F[96,x]
F[96,x] = F[21,x]*F[34,x]*F[43,x]*F[97,x]
F[97,x] = 1/F[21,x]*F[98,x]
F[98,x] = F[7,x]
F[99,x] = F[100,x]+F[17,x]
F[100,x] = F[101,x]
F[101,x] = F[21,x]*F[53,x]
F[102,x] = F[103,x]+F[104,x]
F[103,x] = F[15,x]*F[6,x]
F[104,x] = -F[53,x]+F[105,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[21,x]*F[107,x]
F[107,x] = F[53,x]
F[108,x] = F[103,x]+F[19,x]
F[109,x] = 1/F[21,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[99,x]+F[49,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[21,x]
F[114,x] = 1/F[21,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[10,x]+F[104,x]
F[117,x] = 1/F[120,x]/F[21,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[43,x]+F[56,x]
F[120,x] = F[1,x]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[120,x]*F[21,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[21,x]*F[76,x]
F[125,x] = -F[56,x]+F[117,x]
F[126,x] = 1/F[21,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[179,x]+F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[21,x]
F[131,x] = 1/F[21,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = 1/F[120,x]*F[134,x]
F[134,x] = -F[193,x]+F[135,x]
F[135,x] = 1/F[21,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]+F[150,x]
F[138,x] = F[139,x]*F[145,x]
F[139,x] = F[140,x]+F[6,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[21,x]*F[39,x]
F[142,x] = F[143,x]+F[6,x]
F[143,x] = F[144,x]*F[34,x]
F[144,x] = F[44,x]
F[145,x] = F[1,x]+F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[21,x]
F[148,x] = F[145,x]+F[149,x]
F[149,x] = F[121,x]
F[150,x] = F[120,x]*F[151,x]
F[151,x] = F[152,x]+F[176,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[21,x]
F[154,x] = F[155,x]+F[167,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[21,x]*F[34,x]
F[157,x] = F[158,x]
F[158,x] = F[159,x]*F[21,x]*F[34,x]
F[159,x] = F[160,x]+F[166,x]
F[160,x] = F[161,x]*F[39,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[21,x]
F[163,x] = F[164,x]+F[43,x]
F[164,x] = F[165,x]
F[165,x] = F[43,x]^2*F[163,x]*F[21,x]
F[166,x] = F[155,x]*F[43,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[21,x]
F[169,x] = F[170,x]+F[39,x]
F[170,x] = F[128,x]+F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[21,x]*F[43,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[128,x]*F[39,x]
F[175,x] = F[170,x]*F[34,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[21,x]
F[178,x] = F[140,x]+F[179,x]
F[179,x] = -F[191,x]+F[180,x]
F[180,x] = 1/F[21,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]*F[21,x]*F[39,x]
F[183,x] = F[184,x]+F[185,x]
F[184,x] = F[152,x]+F[21,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[21,x]
F[187,x] = F[188,x]+F[189,x]
F[188,x] = F[183,x]*F[43,x]
F[189,x] = F[190,x]
F[190,x] = F[161,x]*F[34,x]*F[43,x]
F[191,x] = F[192,x]
F[192,x] = F[21,x]*F[34,x]*F[39,x]*F[43,x]
F[193,x] = F[194,x]*F[196,x]
F[194,x] = 1/F[21,x]*F[195,x]
F[195,x] = F[139,x]
F[196,x] = F[145,x]+F[197,x]
F[197,x] = F[120,x]*F[21,x]
F[198,x] = F[199,x]*F[67,x]
F[199,x] = F[163,x]+F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[163,x]*F[202,x]*F[21,x]
F[202,x] = 1/F[120,x]/F[21,x]/F[43,x]*F[203,x]
F[203,x] = F[204,x]
F[204,x] = F[120,x]^2*F[117,x]*F[21,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{21}\! \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_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{4}+x^{2} F_{6} \left(x \right)^{2}+3 x F_{6} \left(x \right)^{3}+2 x^{2} F_{6}\! \left(x \right)+x F_{6} \left(x \right)^{2}-F_{6} \left(x \right)^{3}+x^{2}-F_{6}\! \left(x \right) x +F_{6}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{198}\! \left(x \right)
F_{14}\! \left(x \right) = F_{126}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{22}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{20}\! \left(x \right) = F_{5}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{6}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{21}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{68}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{9}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{21}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{46}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{4}+x^{2} F_{34} \left(x \right)^{2}-F_{34} \left(x \right)^{3} x -2 x F_{34} \left(x \right)^{2}-F_{34} \left(x \right)^{3}+2 F_{34}\! \left(x \right) x +3 F_{34} \left(x \right)^{2}-2 F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{42}\! \left(x \right)
F_{38}\! \left(x \right) = F_{34}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{34}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{42}\! \left(x \right) = F_{40}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{43} \left(x \right)^{2} F_{21}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{7}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{21}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{62}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{5}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{21}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{22}\! \left(x \right) F_{56}\! \left(x \right)
F_{66}\! \left(x \right) = F_{43}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{19}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{6}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{21}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right)+F_{53}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{117}\! \left(x \right) F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{77}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{109}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{21}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{99}\! \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_{21}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{7}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{43}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{7}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{17}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{21}\! \left(x \right) F_{53}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{104}\! \left(x \right)
F_{103}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{53}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{19}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{49}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{21}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right)+F_{104}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{120}\! \left(x \right) F_{21}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{56}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{117}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{21}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{120}\! \left(x \right)}
F_{134}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{150}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{145}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{6}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{21}\! \left(x \right) F_{39}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{6}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{34}\! \left(x \right)
F_{144}\! \left(x \right) = F_{44}\! \left(x \right)
F_{145}\! \left(x \right) = F_{1}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{21}\! \left(x \right)
F_{148}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{121}\! \left(x \right)
F_{150}\! \left(x \right) = F_{120}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{176}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{21}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{167}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{166}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{39}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{21}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{43}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{43} \left(x \right)^{2} F_{163}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{155}\! \left(x \right) F_{43}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{21}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{39}\! \left(x \right)
F_{170}\! \left(x \right) = F_{128}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{21}\! \left(x \right) F_{43}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{128}\! \left(x \right) F_{39}\! \left(x \right)
F_{175}\! \left(x \right) = F_{170}\! \left(x \right) F_{34}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{21}\! \left(x \right)
F_{178}\! \left(x \right) = F_{140}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{21}\! \left(x \right) F_{39}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{185}\! \left(x \right)
F_{184}\! \left(x \right) = F_{152}\! \left(x \right)+F_{21}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{21}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)
F_{188}\! \left(x \right) = F_{183}\! \left(x \right) F_{43}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{43}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{39}\! \left(x \right) F_{43}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{139}\! \left(x \right)
F_{196}\! \left(x \right) = F_{145}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{67}\! \left(x \right)
F_{199}\! \left(x \right) = F_{163}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{163}\! \left(x \right) F_{202}\! \left(x \right) F_{21}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{120}\! \left(x \right) F_{21}\! \left(x \right) F_{43}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{120} \left(x \right)^{2} F_{117}\! \left(x \right) F_{21}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**4 + (-x - 1)*(F_6(x) + 1)**3 + (2*x - 3)*(F_6(x) + 1) + (F_6(x) + 1)**2*(x**2 - 2*x + 3) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_21(x))
Eq(F_13(x), F_14(x) + F_198(x))
Eq(F_14(x), F_126(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_22(x))
Eq(F_16(x), F_0(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_21(x))
Eq(F_19(x), F_20(x)/F_21(x))
Eq(F_20(x), F_5(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x) + F_25(x))
Eq(F_23(x), F_24(x)*F_6(x))
Eq(F_24(x), F_1(x) + F_21(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_21(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_68(x))
Eq(F_28(x), F_29(x) + F_9(x))
Eq(F_29(x), F_30(x)*F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_21(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_46(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**4 + (-x - 1)*F_34(x)**3 + (2*x - 2)*F_34(x) + (x**2 - 2*x + 3)*F_34(x)**2 + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_42(x))
Eq(F_38(x), F_34(x)*F_39(x))
Eq(F_39(x), F_34(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_37(x))
Eq(F_42(x), F_40(x)*F_43(x))
Eq(F_43(x), F_1(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_21(x)*F_43(x)**2)
Eq(F_46(x), F_47(x) - F_49(x))
Eq(F_47(x), F_48(x)/F_21(x))
Eq(F_48(x), F_7(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_21(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_21(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_54(x) + F_62(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_16(x)*F_21(x)*F_56(x))
Eq(F_56(x), F_57(x)/F_0(x))
Eq(F_57(x), F_58(x) - F_60(x))
Eq(F_58(x), F_59(x)/F_21(x))
Eq(F_59(x), F_5(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_13(x)*F_21(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_21(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_22(x)*F_56(x))
Eq(F_66(x), F_43(x)*F_67(x))
Eq(F_67(x), -F_15(x) + F_19(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_6(x)*F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_21(x)*F_72(x))
Eq(F_72(x), F_4(x) + F_53(x))
Eq(F_73(x), -F_123(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_117(x)*F_21(x)*F_76(x))
Eq(F_76(x), F_77(x)/F_33(x))
Eq(F_77(x), F_78(x) - F_84(x))
Eq(F_78(x), F_79(x)/F_21(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), -F_112(x) + F_81(x))
Eq(F_81(x), F_109(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_21(x)*F_84(x))
Eq(F_84(x), F_85(x)/F_21(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), -F_102(x) + F_87(x))
Eq(F_87(x), F_88(x)/F_21(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_90(x) - F_99(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_21(x))
Eq(F_92(x), F_7(x))
Eq(F_93(x), F_94(x) + F_95(x))
Eq(F_94(x), F_2(x)*F_34(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_21(x)*F_34(x)*F_43(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_21(x))
Eq(F_98(x), F_7(x))
Eq(F_99(x), F_100(x) + F_17(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_21(x)*F_53(x))
Eq(F_102(x), F_103(x) + F_104(x))
Eq(F_103(x), F_15(x)*F_6(x))
Eq(F_104(x), F_105(x) - F_53(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_21(x))
Eq(F_107(x), F_53(x))
Eq(F_108(x), F_103(x) + F_19(x))
Eq(F_109(x), F_110(x)/F_21(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_49(x) - F_99(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_21(x))
Eq(F_114(x), F_115(x)/F_21(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x) + F_104(x))
Eq(F_117(x), F_118(x)/(F_120(x)*F_21(x)))
Eq(F_118(x), F_119(x))
Eq(F_119(x), -F_43(x) + F_56(x))
Eq(F_120(x), F_1(x) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_120(x)*F_21(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_21(x)*F_76(x))
Eq(F_125(x), F_117(x) - F_56(x))
Eq(F_126(x), F_127(x)/F_21(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_179(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_21(x))
Eq(F_131(x), F_132(x)/F_21(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)/F_120(x))
Eq(F_134(x), F_135(x) - F_193(x))
Eq(F_135(x), F_136(x)/F_21(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) + F_150(x))
Eq(F_138(x), F_139(x)*F_145(x))
Eq(F_139(x), F_140(x) + F_6(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_21(x)*F_39(x))
Eq(F_142(x), F_143(x) + F_6(x))
Eq(F_143(x), F_144(x)*F_34(x))
Eq(F_144(x), F_44(x))
Eq(F_145(x), F_1(x) + F_146(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_21(x))
Eq(F_148(x), F_145(x) + F_149(x))
Eq(F_149(x), F_121(x))
Eq(F_150(x), F_120(x)*F_151(x))
Eq(F_151(x), F_152(x) + F_176(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_21(x))
Eq(F_154(x), F_155(x) + F_167(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_21(x)*F_34(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_21(x)*F_34(x))
Eq(F_159(x), F_160(x) + F_166(x))
Eq(F_160(x), F_161(x)*F_39(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_21(x))
Eq(F_163(x), F_164(x) + F_43(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_163(x)*F_21(x)*F_43(x)**2)
Eq(F_166(x), F_155(x)*F_43(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_21(x))
Eq(F_169(x), F_170(x) + F_39(x))
Eq(F_170(x), F_128(x) + F_171(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_21(x)*F_43(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_128(x)*F_39(x))
Eq(F_175(x), F_170(x)*F_34(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_21(x))
Eq(F_178(x), F_140(x) + F_179(x))
Eq(F_179(x), F_180(x) - F_191(x))
Eq(F_180(x), F_181(x)/F_21(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x)*F_21(x)*F_39(x))
Eq(F_183(x), F_184(x) + F_185(x))
Eq(F_184(x), F_152(x) + F_21(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_21(x))
Eq(F_187(x), F_188(x) + F_189(x))
Eq(F_188(x), F_183(x)*F_43(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_161(x)*F_34(x)*F_43(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_21(x)*F_34(x)*F_39(x)*F_43(x))
Eq(F_193(x), F_194(x)*F_196(x))
Eq(F_194(x), F_195(x)/F_21(x))
Eq(F_195(x), F_139(x))
Eq(F_196(x), F_145(x) + F_197(x))
Eq(F_197(x), F_120(x)*F_21(x))
Eq(F_198(x), F_199(x)*F_67(x))
Eq(F_199(x), F_163(x) + F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_163(x)*F_202(x)*F_21(x))
Eq(F_202(x), F_203(x)/(F_120(x)*F_21(x)*F_43(x)))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_117(x)*F_120(x)**2*F_21(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 3], [2, 3]]}, {"patt": [0, 1, 2], "pos": [[2, 2], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 3], [2, 3]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 2], [2, 3], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[2, 3], [2, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 2], [2, 0], [2, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 0], [2, 0], [2, 2], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 0], [2, 0], [2, 2], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 2], [1, 2]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 1], [1, 0], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"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, 2], [1, 2]]}, {"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, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], "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, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 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"pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25286/
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[37,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[37,x]*F[7,x]
F[7,x] = F[24,x]+F[8,x]
F[8,x] = F[290,x]+F[9,x]
F[9,x] = 1/F[0,x]*F[10,x]
F[10,x] = -F[335,x]+F[11,x]
F[11,x] = 1/F[37,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = -F[0,x]+F[14,x]
F[14,x] = F[15,x]+F[16,x]
F[15,x] = -2+x^2+8*x+F[15,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[15,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[37,x]
F[18,x] = F[19,x]+F[286,x]
F[19,x] = F[14,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[37,x]
F[22,x] = 1/F[37,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]+F[276,x]
F[25,x] = F[2,x]*F[26,x]
F[26,x] = 1/F[0,x]*F[27,x]
F[27,x] = -F[28,x]+F[7,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[37,x]
F[30,x] = F[275,x]+F[31,x]
F[31,x] = F[229,x]*F[32,x]
F[32,x] = F[33,x]+F[38,x]
F[33,x] = F[15,x]+F[34,x]
F[34,x] = F[35,x]*F[36,x]
F[35,x] = (x*F[35,x]^3+(2*x-1)*F[35,x]^2+(x^2-x+1)*F[35,x]+x^2)*(1+F[35,x])
F[36,x] = F[1,x]+F[37,x]
F[37,x] = x
F[38,x] = F[39,x]+F[57,x]
F[39,x] = F[2,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[37,x]*F[42,x]
F[42,x] = F[43,x]+F[53,x]
F[43,x] = F[44,x]+F[48,x]
F[44,x] = F[2,x]*F[45,x]
F[45,x] = F[1,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[45,x]^2*F[37,x]
F[48,x] = F[49,x]
F[49,x] = F[37,x]*F[42,x]*F[50,x]
F[50,x] = 1/F[37,x]/F[9,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[45,x]+F[9,x]
F[53,x] = -F[56,x]+F[54,x]
F[54,x] = 1/F[37,x]*F[55,x]
F[55,x] = F[5,x]
F[56,x] = F[43,x]+F[9,x]
F[57,x] = F[58,x]
F[58,x] = F[37,x]*F[59,x]
F[59,x] = F[141,x]+F[60,x]
F[60,x] = F[61,x]+F[65,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[35,x]*F[4,x]
F[63,x] = F[64,x]
F[64,x] = F[30,x]*F[37,x]
F[65,x] = F[35,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[37,x]*F[68,x]
F[68,x] = F[134,x]+F[69,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = 1+x*F[70,x]^4+F[70,x]^2*(x^2-2*x+3)+F[70,x]^3*(-1-x)+(-2+2*x)*F[70,x]
F[71,x] = -F[89,x]+F[72,x]
F[72,x] = F[73,x]+F[78,x]
F[73,x] = F[35,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[26,x]*F[37,x]*F[76,x]
F[76,x] = F[39,x]+F[77,x]
F[77,x] = (x^2+4*x-1)*F[77,x]^2+(4*x^2-5*x+2)*F[77,x]+4*x^2-x
F[78,x] = F[79,x]
F[79,x] = F[37,x]*F[80,x]
F[80,x] = F[81,x]+F[83,x]
F[81,x] = F[26,x]*F[82,x]
F[82,x] = F[34,x]+F[57,x]
F[83,x] = F[45,x]*F[84,x]
F[84,x] = F[85,x]+F[88,x]
F[85,x] = -F[86,x]+F[56,x]
F[86,x] = F[0,x]+F[87,x]
F[87,x] = F[40,x]+F[77,x]
F[88,x] = -F[82,x]+F[53,x]
F[89,x] = F[74,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[37,x]*F[92,x]
F[92,x] = F[93,x]+F[96,x]
F[93,x] = F[26,x]*F[94,x]
F[94,x] = F[57,x]+F[95,x]
F[95,x] = F[35,x]*F[37,x]
F[96,x] = F[45,x]*F[97,x]
F[97,x] = F[133,x]+F[98,x]
F[98,x] = -F[132,x]+F[99,x]
F[99,x] = -F[103,x]+F[100,x]
F[100,x] = 1/F[37,x]*F[101,x]
F[101,x] = F[102,x]
F[102,x] = F[37,x]*F[61,x]
F[103,x] = -F[104,x]+F[54,x]
F[104,x] = F[105,x]+F[9,x]
F[105,x] = F[106,x]+F[34,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[37,x]
F[108,x] = F[109,x]+F[127,x]
F[109,x] = F[110,x]*F[124,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[35,x]*F[45,x]
F[112,x] = F[113,x]*F[70,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[37,x]
F[115,x] = 1/F[121,x]/F[37,x]*F[116,x]
F[116,x] = F[117,x]
F[117,x] = F[121,x]^2*F[118,x]*F[37,x]
F[118,x] = 1/F[121,x]/F[37,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = -F[45,x]+F[26,x]
F[121,x] = F[1,x]+F[122,x]
F[122,x] = F[123,x]
F[123,x] = F[121,x]*F[37,x]
F[124,x] = F[125,x]+F[45,x]
F[125,x] = F[126,x]
F[126,x] = F[37,x]*F[50,x]
F[127,x] = F[128,x]*F[45,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[125,x]*F[35,x]
F[130,x] = F[131,x]*F[70,x]
F[131,x] = -F[52,x]+F[99,x]
F[132,x] = F[77,x]+F[95,x]
F[133,x] = -F[38,x]+F[103,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[37,x]*F[136,x]
F[136,x] = F[102,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[37,x]
F[139,x] = 1/F[37,x]*F[140,x]
F[140,x] = F[72,x]
F[141,x] = F[142,x]+F[146,x]
F[142,x] = F[143,x]*F[35,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[37,x]
F[145,x] = F[4,x]+F[72,x]
F[146,x] = -F[194,x]+F[147,x]
F[147,x] = -F[227,x]+F[148,x]
F[148,x] = -F[164,x]+F[149,x]
F[149,x] = 1/F[37,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[162,x]+F[152,x]
F[152,x] = -F[157,x]+F[153,x]
F[153,x] = -F[154,x]+F[135,x]
F[154,x] = F[132,x]+F[155,x]
F[155,x] = F[156,x]*F[37,x]
F[156,x] = -F[70,x]+F[69,x]
F[157,x] = -F[33,x]+F[158,x]
F[158,x] = F[159,x]+F[4,x]
F[159,x] = F[160,x]+F[87,x]
F[160,x] = F[161,x]
F[161,x] = F[37,x]*F[72,x]
F[162,x] = -F[163,x]+F[134,x]
F[163,x] = -F[70,x]+F[4,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]+F[225,x]
F[166,x] = F[167,x]
F[167,x] = F[45,x]^3*F[168,x]*F[37,x]
F[168,x] = 1/F[45,x]*F[169,x]
F[169,x] = -F[211,x]+F[170,x]
F[170,x] = -F[193,x]+F[171,x]
F[171,x] = -F[175,x]+F[172,x]
F[172,x] = 1/F[37,x]*F[173,x]
F[173,x] = F[174,x]
F[174,x] = -F[38,x]+F[153,x]
F[175,x] = F[176,x]+F[179,x]
F[176,x] = 1/F[37,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[163,x]+F[134,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]+F[182,x]
F[181,x] = F[66,x]*F[71,x]
F[182,x] = F[183,x]
F[183,x] = F[45,x]^2*F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[37,x]
F[186,x] = -F[190,x]+F[187,x]
F[187,x] = F[188,x]
F[188,x] = F[174,x]+F[189,x]
F[189,x] = F[36,x]*F[71,x]
F[190,x] = F[191,x]
F[191,x] = -F[192,x]+F[137,x]
F[192,x] = -F[4,x]+F[32,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[196,x]*F[210,x]*F[37,x]
F[196,x] = 1/F[37,x]*F[197,x]
F[197,x] = F[198,x]
F[198,x] = 1/F[70,x]*F[199,x]
F[199,x] = -F[202,x]+F[200,x]
F[200,x] = F[147,x]+F[201,x]
F[201,x] = F[143,x]*F[156,x]
F[202,x] = -F[209,x]+F[203,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[166,x]+F[201,x]
F[205,x] = F[206,x]
F[206,x] = F[196,x]*F[207,x]*F[37,x]
F[207,x] = F[156,x]+F[208,x]
F[208,x] = -F[69,x]+F[118,x]
F[209,x] = F[166,x]
F[210,x] = -F[26,x]+F[118,x]
F[211,x] = -F[224,x]+F[212,x]
F[212,x] = F[213,x]+F[217,x]
F[213,x] = -F[214,x]+F[171,x]
F[214,x] = F[215,x]
F[215,x] = -F[216,x]+F[170,x]
F[216,x] = F[143,x]*F[71,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]*F[37,x]
F[219,x] = F[220,x]+F[223,x]
F[220,x] = F[221,x]*F[45,x]*F[46,x]
F[221,x] = 1/F[37,x]*F[222,x]
F[222,x] = F[168,x]
F[223,x] = F[120,x]*F[196,x]
F[224,x] = F[194,x]
F[225,x] = F[226,x]
F[226,x] = F[184,x]*F[45,x]*F[46,x]
F[227,x] = F[156,x]*F[228,x]
F[228,x] = F[143,x]+F[66,x]
F[229,x] = 1/F[37,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[271,x]+F[232,x]
F[232,x] = -F[240,x]+F[233,x]
F[233,x] = 1/F[37,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = -F[2,x]+F[236,x]
F[236,x] = F[237,x]
F[237,x] = F[238,x]*F[37,x]
F[238,x] = 1/F[37,x]*F[239,x]
F[239,x] = F[163,x]
F[240,x] = -F[241,x]+F[238,x]
F[241,x] = F[242,x]+F[270,x]
F[242,x] = -F[261,x]+F[243,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[37,x]*F[245,x]
F[245,x] = F[163,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[163,x]*F[70,x]
F[248,x] = F[249,x]+F[251,x]
F[249,x] = F[250,x]
F[250,x] = F[229,x]*F[37,x]*F[76,x]
F[251,x] = F[252,x]
F[252,x] = F[253,x]*F[37,x]
F[253,x] = F[254,x]+F[255,x]
F[254,x] = F[229,x]*F[94,x]
F[255,x] = F[256,x]*F[97,x]
F[256,x] = F[257,x]+F[50,x]
F[257,x] = F[258,x]
F[258,x] = F[259,x]*F[37,x]*F[50,x]
F[259,x] = 1/F[121,x]/F[37,x]/F[45,x]*F[260,x]
F[260,x] = F[117,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[35,x]*F[70,x]
F[263,x] = F[264,x]
F[264,x] = F[265,x]*F[37,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[229,x]*F[35,x]
F[267,x] = F[256,x]*F[268,x]
F[268,x] = -F[70,x]+F[269,x]
F[269,x] = F[113,x]+F[45,x]
F[270,x] = F[163,x]+F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[273,x]*F[37,x]
F[273,x] = -F[24,x]+F[274,x]
F[274,x] = F[25,x]+F[28,x]
F[275,x] = F[256,x]*F[84,x]
F[276,x] = F[277,x]
F[277,x] = F[278,x]*F[37,x]
F[278,x] = F[279,x]+F[283,x]
F[279,x] = F[280,x]+F[281,x]
F[280,x] = F[229,x]*F[39,x]
F[281,x] = F[256,x]*F[282,x]
F[282,x] = -F[39,x]+F[43,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[229,x]*F[82,x]
F[285,x] = F[256,x]*F[88,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]*F[37,x]
F[288,x] = 1/F[37,x]*F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]+F[296,x]
F[291,x] = F[292,x]
F[292,x] = F[15,x]*F[293,x]*F[37,x]
F[293,x] = F[26,x]+F[294,x]
F[294,x] = F[295,x]
F[295,x] = F[229,x]*F[37,x]
F[296,x] = F[297,x]
F[297,x] = F[298,x]*F[37,x]
F[298,x] = F[299,x]+F[310,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]*F[37,x]
F[301,x] = F[302,x]+F[308,x]
F[302,x] = F[26,x]*F[303,x]
F[303,x] = -F[306,x]+F[304,x]
F[304,x] = 1/F[37,x]*F[305,x]
F[305,x] = F[85,x]
F[306,x] = 1/F[37,x]*F[307,x]
F[307,x] = F[282,x]
F[308,x] = F[309,x]
F[309,x] = F[45,x]^2*F[15,x]*F[294,x]
F[310,x] = F[311,x]
F[311,x] = F[312,x]*F[37,x]
F[312,x] = F[313,x]+F[317,x]
F[313,x] = F[314,x]
F[314,x] = F[315,x]*F[45,x]*F[70,x]
F[315,x] = 1/F[37,x]*F[316,x]
F[316,x] = F[290,x]
F[317,x] = F[318,x]
F[318,x] = F[115,x]*F[15,x]*F[319,x]
F[319,x] = F[125,x]+F[320,x]
F[320,x] = 1/F[121,x]*F[321,x]
F[321,x] = -F[333,x]+F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[324,x]*F[37,x]
F[324,x] = F[325,x]+F[332,x]
F[325,x] = F[26,x]*F[326,x]
F[326,x] = F[327,x]+F[331,x]
F[327,x] = F[328,x]*F[45,x]
F[328,x] = F[1,x]+F[329,x]
F[329,x] = F[330,x]
F[330,x] = F[121,x]^2*F[37,x]
F[331,x] = F[121,x]*F[125,x]
F[332,x] = F[121,x]*F[294,x]*F[45,x]
F[333,x] = F[334,x]
F[334,x] = F[328,x]*F[35,x]*F[45,x]
F[335,x] = -F[339,x]+F[336,x]
F[336,x] = 1/F[37,x]*F[337,x]
F[337,x] = F[338,x]
F[338,x] = -F[77,x]+F[13,x]
F[339,x] = F[2,x]*F[9,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{37}\! \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_{37}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{24}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{290}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{10}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)
F_{15}\! \left(x \right) = x^{2} F_{15} \left(x \right)^{2}+2 x^{2} F_{15}\! \left(x \right)+4 x F_{15} \left(x \right)^{2}+x^{2}-13 x F_{15}\! \left(x \right)-F_{15} \left(x \right)^{2}+8 x +4 F_{15}\! \left(x \right)-2
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{37}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{286}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{37}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{276}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{27}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{7}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{37}\! \left(x \right)
F_{30}\! \left(x \right) = F_{275}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{229}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{4}+x^{2} F_{35} \left(x \right)^{2}+3 x F_{35} \left(x \right)^{3}+2 x^{2} F_{35}\! \left(x \right)+x F_{35} \left(x \right)^{2}-F_{35} \left(x \right)^{3}+x^{2}-F_{35}\! \left(x \right) x +F_{35}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = x
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{57}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{37}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{53}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{1}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{37}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{37}\! \left(x \right) F_{42}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{37}\! \left(x \right) F_{9}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{9}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{5}\! \left(x \right)
F_{56}\! \left(x \right) = F_{43}\! \left(x \right)+F_{9}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{37}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{141}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{30}\! \left(x \right) F_{37}\! \left(x \right)
F_{65}\! \left(x \right) = F_{35}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{37}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{134}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = x F_{70} \left(x \right)^{4}+x^{2} F_{70} \left(x \right)^{2}-F_{70} \left(x \right)^{3} x -2 x F_{70} \left(x \right)^{2}-F_{70} \left(x \right)^{3}+2 F_{70}\! \left(x \right) x +3 F_{70} \left(x \right)^{2}-2 F_{70}\! \left(x \right)+1
F_{71}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{73}\! \left(x \right) = F_{35}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{26}\! \left(x \right) F_{37}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{39}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = x^{2} F_{77} \left(x \right)^{2}+4 x^{2} F_{77}\! \left(x \right)+4 x F_{77} \left(x \right)^{2}+4 x^{2}-5 x F_{77}\! \left(x \right)-F_{77} \left(x \right)^{2}-x +2 F_{77}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{37}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{83}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{34}\! \left(x \right)+F_{57}\! \left(x \right)
F_{83}\! \left(x \right) = F_{45}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{86}\! \left(x \right)+F_{56}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{40}\! \left(x \right)+F_{77}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{53}\! \left(x \right)
F_{89}\! \left(x \right) = F_{74}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{37}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{96}\! \left(x \right)
F_{93}\! \left(x \right) = F_{26}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{57}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{35}\! \left(x \right) F_{37}\! \left(x \right)
F_{96}\! \left(x \right) = F_{45}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{133}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{132}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{37}\! \left(x \right) F_{61}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{54}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{9}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{34}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{37}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{127}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{124}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{35}\! \left(x \right) F_{45}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{70}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{37}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right)}
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{118}\! \left(x \right) F_{37}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right) F_{37}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{45}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{37}\! \left(x \right) F_{50}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{45}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{125}\! \left(x \right) F_{35}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{70}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{99}\! \left(x \right)
F_{132}\! \left(x \right) = F_{77}\! \left(x \right)+F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{103}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{102}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{37}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{72}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{35}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{37}\! \left(x \right)
F_{145}\! \left(x \right) = F_{4}\! \left(x \right)+F_{72}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{135}\! \left(x \right)
F_{154}\! \left(x \right) = F_{132}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{37}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{69}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{4}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{87}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{37}\! \left(x \right) F_{72}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{134}\! \left(x \right)
F_{163}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{225}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{45} \left(x \right)^{3} F_{168}\! \left(x \right) F_{37}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{45}\! \left(x \right)}
F_{169}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{153}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{179}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{134}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{182}\! \left(x \right)
F_{181}\! \left(x \right) = F_{66}\! \left(x \right) F_{71}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{37}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{174}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{36}\! \left(x \right) F_{71}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{137}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{32}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{210}\! \left(x \right) F_{37}\! \left(x \right)
F_{196}\! \left(x \right) = \frac{F_{197}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{70}\! \left(x \right)}
F_{199}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{147}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{143}\! \left(x \right) F_{156}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{166}\! \left(x \right)+F_{201}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{196}\! \left(x \right) F_{207}\! \left(x \right) F_{37}\! \left(x \right)
F_{207}\! \left(x \right) = F_{156}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{118}\! \left(x \right)
F_{209}\! \left(x \right) = F_{166}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{118}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{213}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{171}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{170}\! \left(x \right)
F_{216}\! \left(x \right) = F_{143}\! \left(x \right) F_{71}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{37}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{223}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{45}\! \left(x \right) F_{46}\! \left(x \right)
F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{222}\! \left(x \right) = F_{168}\! \left(x \right)
F_{223}\! \left(x \right) = F_{120}\! \left(x \right) F_{196}\! \left(x \right)
F_{224}\! \left(x \right) = F_{194}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{184}\! \left(x \right) F_{45}\! \left(x \right) F_{46}\! \left(x \right)
F_{227}\! \left(x \right) = F_{156}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{143}\! \left(x \right)+F_{66}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{271}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right) F_{37}\! \left(x \right)
F_{238}\! \left(x \right) = \frac{F_{239}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{239}\! \left(x \right) = F_{163}\! \left(x \right)
F_{240}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{238}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{270}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{163}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{163}\! \left(x \right) F_{70}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{229}\! \left(x \right) F_{37}\! \left(x \right) F_{76}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right) F_{37}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{255}\! \left(x \right)
F_{254}\! \left(x \right) = F_{229}\! \left(x \right) F_{94}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{97}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{50}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right) F_{37}\! \left(x \right) F_{50}\! \left(x \right)
F_{259}\! \left(x \right) = \frac{F_{260}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right) F_{45}\! \left(x \right)}
F_{260}\! \left(x \right) = F_{117}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{35}\! \left(x \right) F_{70}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right) F_{37}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{229}\! \left(x \right) F_{35}\! \left(x \right)
F_{267}\! \left(x \right) = F_{256}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{113}\! \left(x \right)+F_{45}\! \left(x \right)
F_{270}\! \left(x \right) = F_{163}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{37}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{25}\! \left(x \right)+F_{28}\! \left(x \right)
F_{275}\! \left(x \right) = F_{256}\! \left(x \right) F_{84}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right) F_{37}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{283}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{281}\! \left(x \right)
F_{280}\! \left(x \right) = F_{229}\! \left(x \right) F_{39}\! \left(x \right)
F_{281}\! \left(x \right) = F_{256}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{229}\! \left(x \right) F_{82}\! \left(x \right)
F_{285}\! \left(x \right) = F_{256}\! \left(x \right) F_{88}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right) F_{37}\! \left(x \right)
F_{288}\! \left(x \right) = \frac{F_{289}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{296}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{15}\! \left(x \right) F_{293}\! \left(x \right) F_{37}\! \left(x \right)
F_{293}\! \left(x \right) = F_{26}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{229}\! \left(x \right) F_{37}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{37}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{310}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right) F_{37}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{308}\! \left(x \right)
F_{302}\! \left(x \right) = F_{26}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{85}\! \left(x \right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{307}\! \left(x \right) = F_{282}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{15}\! \left(x \right) F_{294}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right) F_{37}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{317}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right) F_{45}\! \left(x \right) F_{70}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{290}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{115}\! \left(x \right) F_{15}\! \left(x \right) F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{125}\! \left(x \right)+F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = \frac{F_{321}\! \left(x \right)}{F_{121}\! \left(x \right)}
F_{321}\! \left(x \right) = -F_{333}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right) F_{37}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{332}\! \left(x \right)
F_{325}\! \left(x \right) = F_{26}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{331}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right) F_{45}\! \left(x \right)
F_{328}\! \left(x \right) = F_{1}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{37}\! \left(x \right)
F_{331}\! \left(x \right) = F_{121}\! \left(x \right) F_{125}\! \left(x \right)
F_{332}\! \left(x \right) = F_{121}\! \left(x \right) F_{294}\! \left(x \right) F_{45}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{328}\! \left(x \right) F_{35}\! \left(x \right) F_{45}\! \left(x \right)
F_{335}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{13}\! \left(x \right)
F_{339}\! \left(x \right) = F_{2}\! \left(x \right) F_{9}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_37(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_37(x)*F_7(x))
Eq(F_7(x), F_24(x) + F_8(x))
Eq(F_8(x), F_290(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_0(x))
Eq(F_10(x), F_11(x) - F_335(x))
Eq(F_11(x), F_12(x)/F_37(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), -F_0(x) + F_14(x))
Eq(F_14(x), F_15(x) + F_16(x))
Eq(F_15(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_15(x)**2 + (2*x**2 - 13*x + 4)*F_15(x) - 2)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_37(x))
Eq(F_18(x), F_19(x) + F_286(x))
Eq(F_19(x), F_14(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_37(x))
Eq(F_22(x), F_23(x)/F_37(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) + F_276(x))
Eq(F_25(x), F_2(x)*F_26(x))
Eq(F_26(x), F_27(x)/F_0(x))
Eq(F_27(x), -F_28(x) + F_7(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_37(x))
Eq(F_30(x), F_275(x) + F_31(x))
Eq(F_31(x), F_229(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_38(x))
Eq(F_33(x), F_15(x) + F_34(x))
Eq(F_34(x), F_35(x)*F_36(x))
Eq(F_35(x), x*(F_35(x) + 1)**4 + (-x - 1)*(F_35(x) + 1)**3 + (2*x - 3)*(F_35(x) + 1) + (F_35(x) + 1)**2*(x**2 - 2*x + 3) + F_35(x) + 1)
Eq(F_36(x), F_1(x) + F_37(x))
Eq(F_37(x), x)
Eq(F_38(x), F_39(x) + F_57(x))
Eq(F_39(x), F_2(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_37(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_53(x))
Eq(F_43(x), F_44(x) + F_48(x))
Eq(F_44(x), F_2(x)*F_45(x))
Eq(F_45(x), F_1(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_37(x)*F_45(x)**2)
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_37(x)*F_42(x)*F_50(x))
Eq(F_50(x), F_51(x)/(F_37(x)*F_9(x)))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_45(x) + F_9(x))
Eq(F_53(x), F_54(x) - F_56(x))
Eq(F_54(x), F_55(x)/F_37(x))
Eq(F_55(x), F_5(x))
Eq(F_56(x), F_43(x) + F_9(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_37(x)*F_59(x))
Eq(F_59(x), F_141(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_65(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_35(x)*F_4(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_30(x)*F_37(x))
Eq(F_65(x), F_35(x)*F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_37(x)*F_68(x))
Eq(F_68(x), F_134(x) + F_69(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), x*F_70(x)**4 + (-x - 1)*F_70(x)**3 + (2*x - 2)*F_70(x) + (x**2 - 2*x + 3)*F_70(x)**2 + 1)
Eq(F_71(x), F_72(x) - F_89(x))
Eq(F_72(x), F_73(x) + F_78(x))
Eq(F_73(x), F_35(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_26(x)*F_37(x)*F_76(x))
Eq(F_76(x), F_39(x) + F_77(x))
Eq(F_77(x), x**2 + 8*x + (F_77(x) + 1)**2*(x**2 + 4*x - 1) + (F_77(x) + 1)*(2*x**2 - 13*x + 3) + F_77(x) - 2)
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_37(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_83(x))
Eq(F_81(x), F_26(x)*F_82(x))
Eq(F_82(x), F_34(x) + F_57(x))
Eq(F_83(x), F_45(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_88(x))
Eq(F_85(x), F_56(x) - F_86(x))
Eq(F_86(x), F_0(x) + F_87(x))
Eq(F_87(x), F_40(x) + F_77(x))
Eq(F_88(x), F_53(x) - F_82(x))
Eq(F_89(x), F_74(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_37(x)*F_92(x))
Eq(F_92(x), F_93(x) + F_96(x))
Eq(F_93(x), F_26(x)*F_94(x))
Eq(F_94(x), F_57(x) + F_95(x))
Eq(F_95(x), F_35(x)*F_37(x))
Eq(F_96(x), F_45(x)*F_97(x))
Eq(F_97(x), F_133(x) + F_98(x))
Eq(F_98(x), -F_132(x) + F_99(x))
Eq(F_99(x), F_100(x) - F_103(x))
Eq(F_100(x), F_101(x)/F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_37(x)*F_61(x))
Eq(F_103(x), -F_104(x) + F_54(x))
Eq(F_104(x), F_105(x) + F_9(x))
Eq(F_105(x), F_106(x) + F_34(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_37(x))
Eq(F_108(x), F_109(x) + F_127(x))
Eq(F_109(x), F_110(x)*F_124(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_35(x)*F_45(x))
Eq(F_112(x), F_113(x)*F_70(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_37(x))
Eq(F_115(x), F_116(x)/(F_121(x)*F_37(x)))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x)*F_121(x)**2*F_37(x))
Eq(F_118(x), F_119(x)/(F_121(x)*F_37(x)))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_26(x) - F_45(x))
Eq(F_121(x), F_1(x) + F_122(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_121(x)*F_37(x))
Eq(F_124(x), F_125(x) + F_45(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_37(x)*F_50(x))
Eq(F_127(x), F_128(x)*F_45(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_125(x)*F_35(x))
Eq(F_130(x), F_131(x)*F_70(x))
Eq(F_131(x), -F_52(x) + F_99(x))
Eq(F_132(x), F_77(x) + F_95(x))
Eq(F_133(x), F_103(x) - F_38(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_37(x))
Eq(F_136(x), F_102(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_37(x))
Eq(F_139(x), F_140(x)/F_37(x))
Eq(F_140(x), F_72(x))
Eq(F_141(x), F_142(x) + F_146(x))
Eq(F_142(x), F_143(x)*F_35(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_37(x))
Eq(F_145(x), F_4(x) + F_72(x))
Eq(F_146(x), F_147(x) - F_194(x))
Eq(F_147(x), F_148(x) - F_227(x))
Eq(F_148(x), F_149(x) - F_164(x))
Eq(F_149(x), F_150(x)/F_37(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_162(x))
Eq(F_152(x), F_153(x) - F_157(x))
Eq(F_153(x), F_135(x) - F_154(x))
Eq(F_154(x), F_132(x) + F_155(x))
Eq(F_155(x), F_156(x)*F_37(x))
Eq(F_156(x), F_69(x) - F_70(x))
Eq(F_157(x), F_158(x) - F_33(x))
Eq(F_158(x), F_159(x) + F_4(x))
Eq(F_159(x), F_160(x) + F_87(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_37(x)*F_72(x))
Eq(F_162(x), F_134(x) - F_163(x))
Eq(F_163(x), F_4(x) - F_70(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x) + F_225(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_37(x)*F_45(x)**3)
Eq(F_168(x), F_169(x)/F_45(x))
Eq(F_169(x), F_170(x) - F_211(x))
Eq(F_170(x), F_171(x) - F_193(x))
Eq(F_171(x), F_172(x) - F_175(x))
Eq(F_172(x), F_173(x)/F_37(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_153(x) - F_38(x))
Eq(F_175(x), F_176(x) + F_179(x))
Eq(F_176(x), F_177(x)/F_37(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_134(x) - F_163(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x) + F_182(x))
Eq(F_181(x), F_66(x)*F_71(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_45(x)**2)
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_37(x))
Eq(F_186(x), F_187(x) - F_190(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_174(x) + F_189(x))
Eq(F_189(x), F_36(x)*F_71(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_137(x) - F_192(x))
Eq(F_192(x), F_32(x) - F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_196(x)*F_210(x)*F_37(x))
Eq(F_196(x), F_197(x)/F_37(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)/F_70(x))
Eq(F_199(x), F_200(x) - F_202(x))
Eq(F_200(x), F_147(x) + F_201(x))
Eq(F_201(x), F_143(x)*F_156(x))
Eq(F_202(x), F_203(x) - F_209(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_166(x) + F_201(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_196(x)*F_207(x)*F_37(x))
Eq(F_207(x), F_156(x) + F_208(x))
Eq(F_208(x), F_118(x) - F_69(x))
Eq(F_209(x), F_166(x))
Eq(F_210(x), F_118(x) - F_26(x))
Eq(F_211(x), F_212(x) - F_224(x))
Eq(F_212(x), F_213(x) + F_217(x))
Eq(F_213(x), F_171(x) - F_214(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_170(x) - F_216(x))
Eq(F_216(x), F_143(x)*F_71(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x)*F_37(x))
Eq(F_219(x), F_220(x) + F_223(x))
Eq(F_220(x), F_221(x)*F_45(x)*F_46(x))
Eq(F_221(x), F_222(x)/F_37(x))
Eq(F_222(x), F_168(x))
Eq(F_223(x), F_120(x)*F_196(x))
Eq(F_224(x), F_194(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_184(x)*F_45(x)*F_46(x))
Eq(F_227(x), F_156(x)*F_228(x))
Eq(F_228(x), F_143(x) + F_66(x))
Eq(F_229(x), F_230(x)/F_37(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_232(x) - F_271(x))
Eq(F_232(x), F_233(x) - F_240(x))
Eq(F_233(x), F_234(x)/F_37(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), -F_2(x) + F_236(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_238(x)*F_37(x))
Eq(F_238(x), F_239(x)/F_37(x))
Eq(F_239(x), F_163(x))
Eq(F_240(x), F_238(x) - F_241(x))
Eq(F_241(x), F_242(x) + F_270(x))
Eq(F_242(x), F_243(x) - F_261(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_37(x))
Eq(F_245(x), F_163(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_163(x)*F_70(x))
Eq(F_248(x), F_249(x) + F_251(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_229(x)*F_37(x)*F_76(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_253(x)*F_37(x))
Eq(F_253(x), F_254(x) + F_255(x))
Eq(F_254(x), F_229(x)*F_94(x))
Eq(F_255(x), F_256(x)*F_97(x))
Eq(F_256(x), F_257(x) + F_50(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_259(x)*F_37(x)*F_50(x))
Eq(F_259(x), F_260(x)/(F_121(x)*F_37(x)*F_45(x)))
Eq(F_260(x), F_117(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_35(x)*F_70(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_265(x)*F_37(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_229(x)*F_35(x))
Eq(F_267(x), F_256(x)*F_268(x))
Eq(F_268(x), F_269(x) - F_70(x))
Eq(F_269(x), F_113(x) + F_45(x))
Eq(F_270(x), F_163(x) + F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x)*F_37(x))
Eq(F_273(x), -F_24(x) + F_274(x))
Eq(F_274(x), F_25(x) + F_28(x))
Eq(F_275(x), F_256(x)*F_84(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_278(x)*F_37(x))
Eq(F_278(x), F_279(x) + F_283(x))
Eq(F_279(x), F_280(x) + F_281(x))
Eq(F_280(x), F_229(x)*F_39(x))
Eq(F_281(x), F_256(x)*F_282(x))
Eq(F_282(x), -F_39(x) + F_43(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_229(x)*F_82(x))
Eq(F_285(x), F_256(x)*F_88(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x)*F_37(x))
Eq(F_288(x), F_289(x)/F_37(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x) + F_296(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_15(x)*F_293(x)*F_37(x))
Eq(F_293(x), F_26(x) + F_294(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_229(x)*F_37(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_298(x)*F_37(x))
Eq(F_298(x), F_299(x) + F_310(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x)*F_37(x))
Eq(F_301(x), F_302(x) + F_308(x))
Eq(F_302(x), F_26(x)*F_303(x))
Eq(F_303(x), F_304(x) - F_306(x))
Eq(F_304(x), F_305(x)/F_37(x))
Eq(F_305(x), F_85(x))
Eq(F_306(x), F_307(x)/F_37(x))
Eq(F_307(x), F_282(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_15(x)*F_294(x)*F_45(x)**2)
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_312(x)*F_37(x))
Eq(F_312(x), F_313(x) + F_317(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x)*F_45(x)*F_70(x))
Eq(F_315(x), F_316(x)/F_37(x))
Eq(F_316(x), F_290(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_115(x)*F_15(x)*F_319(x))
Eq(F_319(x), F_125(x) + F_320(x))
Eq(F_320(x), F_321(x)/F_121(x))
Eq(F_321(x), F_322(x) - F_333(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_324(x)*F_37(x))
Eq(F_324(x), F_325(x) + F_332(x))
Eq(F_325(x), F_26(x)*F_326(x))
Eq(F_326(x), F_327(x) + F_331(x))
Eq(F_327(x), F_328(x)*F_45(x))
Eq(F_328(x), F_1(x) + F_329(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_121(x)**2*F_37(x))
Eq(F_331(x), F_121(x)*F_125(x))
Eq(F_332(x), F_121(x)*F_294(x)*F_45(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_328(x)*F_35(x)*F_45(x))
Eq(F_335(x), F_336(x) - F_339(x))
Eq(F_336(x), F_337(x)/F_37(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_13(x) - F_77(x))
Eq(F_339(x), F_2(x)*F_9(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 4, 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, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": 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2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 0], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 3], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 4], [0, 4], [0, 0], [0, 4], [0, 4]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 4], [0, 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"pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[2, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": 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"tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25515/
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[21,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]+F[7,x]
F[6,x] = (1+F[6,x])*(x*F[6,x]^3+(2*x-1)*F[6,x]^2+(x^2-x+1)*F[6,x]+x^2)
F[7,x] = F[8,x]
F[8,x] = F[21,x]*F[9,x]
F[9,x] = F[10,x]+F[11,x]
F[10,x] = F[4,x]*F[6,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[21,x]
F[13,x] = F[14,x]+F[198,x]
F[14,x] = F[126,x]*F[15,x]
F[15,x] = F[16,x]+F[22,x]
F[16,x] = F[0,x]+F[17,x]
F[17,x] = F[18,x]
F[18,x] = F[19,x]*F[21,x]
F[19,x] = 1/F[21,x]*F[20,x]
F[20,x] = F[5,x]
F[21,x] = x
F[22,x] = F[23,x]+F[25,x]
F[23,x] = F[24,x]*F[6,x]
F[24,x] = F[1,x]+F[21,x]
F[25,x] = F[26,x]
F[26,x] = F[21,x]*F[27,x]
F[27,x] = F[28,x]+F[68,x]
F[28,x] = F[29,x]+F[9,x]
F[29,x] = F[30,x]*F[6,x]
F[30,x] = F[31,x]
F[31,x] = F[21,x]*F[32,x]
F[32,x] = F[33,x]+F[46,x]
F[33,x] = F[34,x]+F[35,x]
F[34,x] = 1+x*F[34,x]^4+F[34,x]^2*(x^2-2*x+3)+F[34,x]^3*(-1-x)+(-2+2*x)*F[34,x]
F[35,x] = F[36,x]
F[36,x] = F[21,x]*F[37,x]
F[37,x] = F[38,x]+F[42,x]
F[38,x] = F[34,x]*F[39,x]
F[39,x] = F[34,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[21,x]*F[37,x]
F[42,x] = F[40,x]*F[43,x]
F[43,x] = F[1,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[43,x]^2*F[21,x]
F[46,x] = -F[49,x]+F[47,x]
F[47,x] = 1/F[21,x]*F[48,x]
F[48,x] = F[7,x]
F[49,x] = F[50,x]
F[50,x] = F[21,x]*F[51,x]
F[51,x] = 1/F[21,x]*F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[54,x]+F[62,x]
F[54,x] = F[55,x]
F[55,x] = F[16,x]*F[21,x]*F[56,x]
F[56,x] = 1/F[0,x]*F[57,x]
F[57,x] = -F[60,x]+F[58,x]
F[58,x] = 1/F[21,x]*F[59,x]
F[59,x] = F[5,x]
F[60,x] = F[61,x]
F[61,x] = F[13,x]*F[21,x]
F[62,x] = F[63,x]
F[63,x] = F[21,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[22,x]*F[56,x]
F[66,x] = F[43,x]*F[67,x]
F[67,x] = -F[15,x]+F[19,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[6,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[21,x]*F[72,x]
F[72,x] = F[4,x]+F[53,x]
F[73,x] = -F[123,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[117,x]*F[21,x]*F[76,x]
F[76,x] = 1/F[33,x]*F[77,x]
F[77,x] = -F[84,x]+F[78,x]
F[78,x] = 1/F[21,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[112,x]+F[81,x]
F[81,x] = F[109,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[21,x]*F[84,x]
F[84,x] = 1/F[21,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = -F[102,x]+F[87,x]
F[87,x] = 1/F[21,x]*F[88,x]
F[88,x] = F[89,x]
F[89,x] = -F[99,x]+F[90,x]
F[90,x] = -F[93,x]+F[91,x]
F[91,x] = 1/F[21,x]*F[92,x]
F[92,x] = F[7,x]
F[93,x] = F[94,x]+F[95,x]
F[94,x] = F[2,x]*F[34,x]
F[95,x] = F[96,x]
F[96,x] = F[21,x]*F[34,x]*F[43,x]*F[97,x]
F[97,x] = 1/F[21,x]*F[98,x]
F[98,x] = F[7,x]
F[99,x] = F[100,x]+F[17,x]
F[100,x] = F[101,x]
F[101,x] = F[21,x]*F[53,x]
F[102,x] = F[103,x]+F[104,x]
F[103,x] = F[15,x]*F[6,x]
F[104,x] = -F[53,x]+F[105,x]
F[105,x] = -F[108,x]+F[106,x]
F[106,x] = 1/F[21,x]*F[107,x]
F[107,x] = F[53,x]
F[108,x] = F[103,x]+F[19,x]
F[109,x] = 1/F[21,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[99,x]+F[49,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[21,x]
F[114,x] = 1/F[21,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[10,x]+F[104,x]
F[117,x] = 1/F[120,x]/F[21,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[43,x]+F[56,x]
F[120,x] = F[1,x]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[120,x]*F[21,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[21,x]*F[76,x]
F[125,x] = -F[56,x]+F[117,x]
F[126,x] = 1/F[21,x]*F[127,x]
F[127,x] = F[128,x]
F[128,x] = -F[179,x]+F[129,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[21,x]
F[131,x] = 1/F[21,x]*F[132,x]
F[132,x] = F[133,x]
F[133,x] = 1/F[120,x]*F[134,x]
F[134,x] = -F[193,x]+F[135,x]
F[135,x] = 1/F[21,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[138,x]+F[150,x]
F[138,x] = F[139,x]*F[145,x]
F[139,x] = F[140,x]+F[6,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[21,x]*F[39,x]
F[142,x] = F[143,x]+F[6,x]
F[143,x] = F[144,x]*F[34,x]
F[144,x] = F[44,x]
F[145,x] = F[1,x]+F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[21,x]
F[148,x] = F[145,x]+F[149,x]
F[149,x] = F[121,x]
F[150,x] = F[120,x]*F[151,x]
F[151,x] = F[152,x]+F[176,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[21,x]
F[154,x] = F[155,x]+F[167,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[21,x]*F[34,x]
F[157,x] = F[158,x]
F[158,x] = F[159,x]*F[21,x]*F[34,x]
F[159,x] = F[160,x]+F[166,x]
F[160,x] = F[161,x]*F[39,x]
F[161,x] = F[162,x]
F[162,x] = F[163,x]*F[21,x]
F[163,x] = F[164,x]+F[43,x]
F[164,x] = F[165,x]
F[165,x] = F[43,x]^2*F[163,x]*F[21,x]
F[166,x] = F[155,x]*F[43,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[21,x]
F[169,x] = F[170,x]+F[39,x]
F[170,x] = F[128,x]+F[171,x]
F[171,x] = F[172,x]
F[172,x] = F[173,x]*F[21,x]*F[43,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[128,x]*F[39,x]
F[175,x] = F[170,x]*F[34,x]
F[176,x] = F[177,x]
F[177,x] = F[178,x]*F[21,x]
F[178,x] = F[140,x]+F[179,x]
F[179,x] = -F[191,x]+F[180,x]
F[180,x] = 1/F[21,x]*F[181,x]
F[181,x] = F[182,x]
F[182,x] = F[183,x]*F[21,x]*F[39,x]
F[183,x] = F[184,x]+F[185,x]
F[184,x] = F[152,x]+F[21,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[21,x]
F[187,x] = F[188,x]+F[189,x]
F[188,x] = F[183,x]*F[43,x]
F[189,x] = F[190,x]
F[190,x] = F[161,x]*F[34,x]*F[43,x]
F[191,x] = F[192,x]
F[192,x] = F[21,x]*F[34,x]*F[39,x]*F[43,x]
F[193,x] = F[194,x]*F[196,x]
F[194,x] = 1/F[21,x]*F[195,x]
F[195,x] = F[139,x]
F[196,x] = F[145,x]+F[197,x]
F[197,x] = F[120,x]*F[21,x]
F[198,x] = F[199,x]*F[67,x]
F[199,x] = F[163,x]+F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[163,x]*F[202,x]*F[21,x]
F[202,x] = 1/F[120,x]/F[21,x]/F[43,x]*F[203,x]
F[203,x] = F[204,x]
F[204,x] = F[120,x]^2*F[117,x]*F[21,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{21}\! \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_{7}\! \left(x \right)
F_{6}\! \left(x \right) = x F_{6} \left(x \right)^{4}+x^{2} F_{6} \left(x \right)^{2}+3 x F_{6} \left(x \right)^{3}+2 x^{2} F_{6}\! \left(x \right)+x F_{6} \left(x \right)^{2}-F_{6} \left(x \right)^{3}+x^{2}-F_{6}\! \left(x \right) x +F_{6}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = F_{4}\! \left(x \right) F_{6}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{198}\! \left(x \right)
F_{14}\! \left(x \right) = F_{126}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{22}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right)+F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{20}\! \left(x \right) = F_{5}\! \left(x \right)
F_{21}\! \left(x \right) = x
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{25}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right) F_{6}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{21}\! \left(x \right) F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{68}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{9}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{6}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{21}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{46}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{35}\! \left(x \right)
F_{34}\! \left(x \right) = x F_{34} \left(x \right)^{4}+x^{2} F_{34} \left(x \right)^{2}-F_{34} \left(x \right)^{3} x -2 x F_{34} \left(x \right)^{2}-F_{34} \left(x \right)^{3}+2 F_{34}\! \left(x \right) x +3 F_{34} \left(x \right)^{2}-2 F_{34}\! \left(x \right)+1
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{42}\! \left(x \right)
F_{38}\! \left(x \right) = F_{34}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{34}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{21}\! \left(x \right) F_{37}\! \left(x \right)
F_{42}\! \left(x \right) = F_{40}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{43} \left(x \right)^{2} F_{21}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{7}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{21}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{62}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{16}\! \left(x \right) F_{21}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{57}\! \left(x \right) = -F_{60}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{5}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{13}\! \left(x \right) F_{21}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{21}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{22}\! \left(x \right) F_{56}\! \left(x \right)
F_{66}\! \left(x \right) = F_{43}\! \left(x \right) F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{15}\! \left(x \right)+F_{19}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{6}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{21}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{4}\! \left(x \right)+F_{53}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{117}\! \left(x \right) F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{33}\! \left(x \right)}
F_{77}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{112}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{109}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{21}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = -F_{99}\! \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_{21}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{7}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{2}\! \left(x \right) F_{34}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{43}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{7}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{17}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{21}\! \left(x \right) F_{53}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{104}\! \left(x \right)
F_{103}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{53}\! \left(x \right)
F_{108}\! \left(x \right) = F_{103}\! \left(x \right)+F_{19}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{49}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{21}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{10}\! \left(x \right)+F_{104}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{120}\! \left(x \right) F_{21}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{56}\! \left(x \right)
F_{120}\! \left(x \right) = F_{1}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{21}\! \left(x \right) F_{76}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{117}\! \left(x \right)
F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{21}\! \left(x \right)
F_{131}\! \left(x \right) = \frac{F_{132}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = \frac{F_{134}\! \left(x \right)}{F_{120}\! \left(x \right)}
F_{134}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{150}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{145}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{6}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{21}\! \left(x \right) F_{39}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{6}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right) F_{34}\! \left(x \right)
F_{144}\! \left(x \right) = F_{44}\! \left(x \right)
F_{145}\! \left(x \right) = F_{1}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{21}\! \left(x \right)
F_{148}\! \left(x \right) = F_{145}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{121}\! \left(x \right)
F_{150}\! \left(x \right) = F_{120}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{176}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{21}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{167}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{21}\! \left(x \right) F_{34}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{166}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{39}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right) F_{21}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{43}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{43} \left(x \right)^{2} F_{163}\! \left(x \right) F_{21}\! \left(x \right)
F_{166}\! \left(x \right) = F_{155}\! \left(x \right) F_{43}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{21}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{39}\! \left(x \right)
F_{170}\! \left(x \right) = F_{128}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{21}\! \left(x \right) F_{43}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{128}\! \left(x \right) F_{39}\! \left(x \right)
F_{175}\! \left(x \right) = F_{170}\! \left(x \right) F_{34}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{21}\! \left(x \right)
F_{178}\! \left(x \right) = F_{140}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{191}\! \left(x \right)+F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right) F_{21}\! \left(x \right) F_{39}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{185}\! \left(x \right)
F_{184}\! \left(x \right) = F_{152}\! \left(x \right)+F_{21}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{21}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{189}\! \left(x \right)
F_{188}\! \left(x \right) = F_{183}\! \left(x \right) F_{43}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{43}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{21}\! \left(x \right) F_{34}\! \left(x \right) F_{39}\! \left(x \right) F_{43}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right) F_{196}\! \left(x \right)
F_{194}\! \left(x \right) = \frac{F_{195}\! \left(x \right)}{F_{21}\! \left(x \right)}
F_{195}\! \left(x \right) = F_{139}\! \left(x \right)
F_{196}\! \left(x \right) = F_{145}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{120}\! \left(x \right) F_{21}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right) F_{67}\! \left(x \right)
F_{199}\! \left(x \right) = F_{163}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{163}\! \left(x \right) F_{202}\! \left(x \right) F_{21}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{120}\! \left(x \right) F_{21}\! \left(x \right) F_{43}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{120} \left(x \right)^{2} F_{117}\! \left(x \right) F_{21}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_21(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x) + F_7(x))
Eq(F_6(x), x*(F_6(x) + 1)**4 + (-x - 1)*(F_6(x) + 1)**3 + (2*x - 3)*(F_6(x) + 1) + (F_6(x) + 1)**2*(x**2 - 2*x + 3) + F_6(x) + 1)
Eq(F_7(x), F_8(x))
Eq(F_8(x), F_21(x)*F_9(x))
Eq(F_9(x), F_10(x) + F_11(x))
Eq(F_10(x), F_4(x)*F_6(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_21(x))
Eq(F_13(x), F_14(x) + F_198(x))
Eq(F_14(x), F_126(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_22(x))
Eq(F_16(x), F_0(x) + F_17(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x)*F_21(x))
Eq(F_19(x), F_20(x)/F_21(x))
Eq(F_20(x), F_5(x))
Eq(F_21(x), x)
Eq(F_22(x), F_23(x) + F_25(x))
Eq(F_23(x), F_24(x)*F_6(x))
Eq(F_24(x), F_1(x) + F_21(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_21(x)*F_27(x))
Eq(F_27(x), F_28(x) + F_68(x))
Eq(F_28(x), F_29(x) + F_9(x))
Eq(F_29(x), F_30(x)*F_6(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), F_21(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_46(x))
Eq(F_33(x), F_34(x) + F_35(x))
Eq(F_34(x), x*F_34(x)**4 + (-x - 1)*F_34(x)**3 + (2*x - 2)*F_34(x) + (x**2 - 2*x + 3)*F_34(x)**2 + 1)
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_21(x)*F_37(x))
Eq(F_37(x), F_38(x) + F_42(x))
Eq(F_38(x), F_34(x)*F_39(x))
Eq(F_39(x), F_34(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_21(x)*F_37(x))
Eq(F_42(x), F_40(x)*F_43(x))
Eq(F_43(x), F_1(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_21(x)*F_43(x)**2)
Eq(F_46(x), F_47(x) - F_49(x))
Eq(F_47(x), F_48(x)/F_21(x))
Eq(F_48(x), F_7(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_21(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_21(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_54(x) + F_62(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_16(x)*F_21(x)*F_56(x))
Eq(F_56(x), F_57(x)/F_0(x))
Eq(F_57(x), F_58(x) - F_60(x))
Eq(F_58(x), F_59(x)/F_21(x))
Eq(F_59(x), F_5(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_13(x)*F_21(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_21(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_22(x)*F_56(x))
Eq(F_66(x), F_43(x)*F_67(x))
Eq(F_67(x), -F_15(x) + F_19(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_6(x)*F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_21(x)*F_72(x))
Eq(F_72(x), F_4(x) + F_53(x))
Eq(F_73(x), -F_123(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_117(x)*F_21(x)*F_76(x))
Eq(F_76(x), F_77(x)/F_33(x))
Eq(F_77(x), F_78(x) - F_84(x))
Eq(F_78(x), F_79(x)/F_21(x))
Eq(F_79(x), F_80(x))
Eq(F_80(x), -F_112(x) + F_81(x))
Eq(F_81(x), F_109(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_21(x)*F_84(x))
Eq(F_84(x), F_85(x)/F_21(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), -F_102(x) + F_87(x))
Eq(F_87(x), F_88(x)/F_21(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_90(x) - F_99(x))
Eq(F_90(x), F_91(x) - F_93(x))
Eq(F_91(x), F_92(x)/F_21(x))
Eq(F_92(x), F_7(x))
Eq(F_93(x), F_94(x) + F_95(x))
Eq(F_94(x), F_2(x)*F_34(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_21(x)*F_34(x)*F_43(x)*F_97(x))
Eq(F_97(x), F_98(x)/F_21(x))
Eq(F_98(x), F_7(x))
Eq(F_99(x), F_100(x) + F_17(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_21(x)*F_53(x))
Eq(F_102(x), F_103(x) + F_104(x))
Eq(F_103(x), F_15(x)*F_6(x))
Eq(F_104(x), F_105(x) - F_53(x))
Eq(F_105(x), F_106(x) - F_108(x))
Eq(F_106(x), F_107(x)/F_21(x))
Eq(F_107(x), F_53(x))
Eq(F_108(x), F_103(x) + F_19(x))
Eq(F_109(x), F_110(x)/F_21(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_49(x) - F_99(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_21(x))
Eq(F_114(x), F_115(x)/F_21(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_10(x) + F_104(x))
Eq(F_117(x), F_118(x)/(F_120(x)*F_21(x)))
Eq(F_118(x), F_119(x))
Eq(F_119(x), -F_43(x) + F_56(x))
Eq(F_120(x), F_1(x) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_120(x)*F_21(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_21(x)*F_76(x))
Eq(F_125(x), F_117(x) - F_56(x))
Eq(F_126(x), F_127(x)/F_21(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x) - F_179(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_21(x))
Eq(F_131(x), F_132(x)/F_21(x))
Eq(F_132(x), F_133(x))
Eq(F_133(x), F_134(x)/F_120(x))
Eq(F_134(x), F_135(x) - F_193(x))
Eq(F_135(x), F_136(x)/F_21(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_138(x) + F_150(x))
Eq(F_138(x), F_139(x)*F_145(x))
Eq(F_139(x), F_140(x) + F_6(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_21(x)*F_39(x))
Eq(F_142(x), F_143(x) + F_6(x))
Eq(F_143(x), F_144(x)*F_34(x))
Eq(F_144(x), F_44(x))
Eq(F_145(x), F_1(x) + F_146(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_21(x))
Eq(F_148(x), F_145(x) + F_149(x))
Eq(F_149(x), F_121(x))
Eq(F_150(x), F_120(x)*F_151(x))
Eq(F_151(x), F_152(x) + F_176(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_21(x))
Eq(F_154(x), F_155(x) + F_167(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_21(x)*F_34(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_21(x)*F_34(x))
Eq(F_159(x), F_160(x) + F_166(x))
Eq(F_160(x), F_161(x)*F_39(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x)*F_21(x))
Eq(F_163(x), F_164(x) + F_43(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_163(x)*F_21(x)*F_43(x)**2)
Eq(F_166(x), F_155(x)*F_43(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_21(x))
Eq(F_169(x), F_170(x) + F_39(x))
Eq(F_170(x), F_128(x) + F_171(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_173(x)*F_21(x)*F_43(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_128(x)*F_39(x))
Eq(F_175(x), F_170(x)*F_34(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_178(x)*F_21(x))
Eq(F_178(x), F_140(x) + F_179(x))
Eq(F_179(x), F_180(x) - F_191(x))
Eq(F_180(x), F_181(x)/F_21(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_183(x)*F_21(x)*F_39(x))
Eq(F_183(x), F_184(x) + F_185(x))
Eq(F_184(x), F_152(x) + F_21(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_21(x))
Eq(F_187(x), F_188(x) + F_189(x))
Eq(F_188(x), F_183(x)*F_43(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_161(x)*F_34(x)*F_43(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_21(x)*F_34(x)*F_39(x)*F_43(x))
Eq(F_193(x), F_194(x)*F_196(x))
Eq(F_194(x), F_195(x)/F_21(x))
Eq(F_195(x), F_139(x))
Eq(F_196(x), F_145(x) + F_197(x))
Eq(F_197(x), F_120(x)*F_21(x))
Eq(F_198(x), F_199(x)*F_67(x))
Eq(F_199(x), F_163(x) + F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_163(x)*F_202(x)*F_21(x))
Eq(F_202(x), F_203(x)/(F_120(x)*F_21(x)*F_43(x)))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_117(x)*F_120(x)**2*F_21(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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"pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25721/
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[37,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[37,x]*F[7,x]
F[7,x] = F[24,x]+F[8,x]
F[8,x] = F[290,x]+F[9,x]
F[9,x] = 1/F[0,x]*F[10,x]
F[10,x] = -F[335,x]+F[11,x]
F[11,x] = 1/F[37,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = -F[0,x]+F[14,x]
F[14,x] = F[15,x]+F[16,x]
F[15,x] = -2+x^2+8*x+F[15,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[15,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[37,x]
F[18,x] = F[19,x]+F[286,x]
F[19,x] = F[14,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[37,x]
F[22,x] = 1/F[37,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[25,x]+F[276,x]
F[25,x] = F[2,x]*F[26,x]
F[26,x] = 1/F[0,x]*F[27,x]
F[27,x] = -F[28,x]+F[7,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]*F[37,x]
F[30,x] = F[275,x]+F[31,x]
F[31,x] = F[229,x]*F[32,x]
F[32,x] = F[33,x]+F[38,x]
F[33,x] = F[15,x]+F[34,x]
F[34,x] = F[35,x]*F[36,x]
F[35,x] = (1+F[35,x])*(x*F[35,x]^3+(2*x-1)*F[35,x]^2+(x^2-x+1)*F[35,x]+x^2)
F[36,x] = F[1,x]+F[37,x]
F[37,x] = x
F[38,x] = F[39,x]+F[57,x]
F[39,x] = F[2,x]+F[40,x]
F[40,x] = F[41,x]
F[41,x] = F[37,x]*F[42,x]
F[42,x] = F[43,x]+F[53,x]
F[43,x] = F[44,x]+F[48,x]
F[44,x] = F[2,x]*F[45,x]
F[45,x] = F[1,x]+F[46,x]
F[46,x] = F[47,x]
F[47,x] = F[45,x]^2*F[37,x]
F[48,x] = F[49,x]
F[49,x] = F[37,x]*F[42,x]*F[50,x]
F[50,x] = 1/F[37,x]/F[9,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[45,x]+F[9,x]
F[53,x] = -F[56,x]+F[54,x]
F[54,x] = 1/F[37,x]*F[55,x]
F[55,x] = F[5,x]
F[56,x] = F[43,x]+F[9,x]
F[57,x] = F[58,x]
F[58,x] = F[37,x]*F[59,x]
F[59,x] = F[141,x]+F[60,x]
F[60,x] = F[61,x]+F[65,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[35,x]*F[4,x]
F[63,x] = F[64,x]
F[64,x] = F[30,x]*F[37,x]
F[65,x] = F[35,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[37,x]*F[68,x]
F[68,x] = F[134,x]+F[69,x]
F[69,x] = F[70,x]+F[71,x]
F[70,x] = 1+x*F[70,x]^4+F[70,x]^2*(x^2-2*x+3)+F[70,x]^3*(-1-x)+(-2+2*x)*F[70,x]
F[71,x] = -F[89,x]+F[72,x]
F[72,x] = F[73,x]+F[78,x]
F[73,x] = F[35,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[26,x]*F[37,x]*F[76,x]
F[76,x] = F[39,x]+F[77,x]
F[77,x] = (x^2+4*x-1)*F[77,x]^2+(4*x^2-5*x+2)*F[77,x]+4*x^2-x
F[78,x] = F[79,x]
F[79,x] = F[37,x]*F[80,x]
F[80,x] = F[81,x]+F[83,x]
F[81,x] = F[26,x]*F[82,x]
F[82,x] = F[34,x]+F[57,x]
F[83,x] = F[45,x]*F[84,x]
F[84,x] = F[85,x]+F[88,x]
F[85,x] = -F[86,x]+F[56,x]
F[86,x] = F[0,x]+F[87,x]
F[87,x] = F[40,x]+F[77,x]
F[88,x] = -F[82,x]+F[53,x]
F[89,x] = F[74,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[37,x]*F[92,x]
F[92,x] = F[93,x]+F[96,x]
F[93,x] = F[26,x]*F[94,x]
F[94,x] = F[57,x]+F[95,x]
F[95,x] = F[35,x]*F[37,x]
F[96,x] = F[45,x]*F[97,x]
F[97,x] = F[133,x]+F[98,x]
F[98,x] = -F[132,x]+F[99,x]
F[99,x] = -F[103,x]+F[100,x]
F[100,x] = 1/F[37,x]*F[101,x]
F[101,x] = F[102,x]
F[102,x] = F[37,x]*F[61,x]
F[103,x] = -F[104,x]+F[54,x]
F[104,x] = F[105,x]+F[9,x]
F[105,x] = F[106,x]+F[34,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[37,x]
F[108,x] = F[109,x]+F[127,x]
F[109,x] = F[110,x]*F[124,x]
F[110,x] = F[111,x]+F[112,x]
F[111,x] = F[35,x]*F[45,x]
F[112,x] = F[113,x]*F[70,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[37,x]
F[115,x] = 1/F[121,x]/F[37,x]*F[116,x]
F[116,x] = F[117,x]
F[117,x] = F[121,x]^2*F[118,x]*F[37,x]
F[118,x] = 1/F[121,x]/F[37,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = -F[45,x]+F[26,x]
F[121,x] = F[1,x]+F[122,x]
F[122,x] = F[123,x]
F[123,x] = F[121,x]*F[37,x]
F[124,x] = F[125,x]+F[45,x]
F[125,x] = F[126,x]
F[126,x] = F[37,x]*F[50,x]
F[127,x] = F[128,x]*F[45,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[125,x]*F[35,x]
F[130,x] = F[131,x]*F[70,x]
F[131,x] = -F[52,x]+F[99,x]
F[132,x] = F[77,x]+F[95,x]
F[133,x] = -F[38,x]+F[103,x]
F[134,x] = -F[137,x]+F[135,x]
F[135,x] = 1/F[37,x]*F[136,x]
F[136,x] = F[102,x]
F[137,x] = F[138,x]
F[138,x] = F[139,x]*F[37,x]
F[139,x] = 1/F[37,x]*F[140,x]
F[140,x] = F[72,x]
F[141,x] = F[142,x]+F[146,x]
F[142,x] = F[143,x]*F[35,x]
F[143,x] = F[144,x]
F[144,x] = F[145,x]*F[37,x]
F[145,x] = F[4,x]+F[72,x]
F[146,x] = -F[194,x]+F[147,x]
F[147,x] = -F[227,x]+F[148,x]
F[148,x] = -F[164,x]+F[149,x]
F[149,x] = 1/F[37,x]*F[150,x]
F[150,x] = F[151,x]
F[151,x] = -F[162,x]+F[152,x]
F[152,x] = -F[157,x]+F[153,x]
F[153,x] = -F[154,x]+F[135,x]
F[154,x] = F[132,x]+F[155,x]
F[155,x] = F[156,x]*F[37,x]
F[156,x] = -F[70,x]+F[69,x]
F[157,x] = -F[33,x]+F[158,x]
F[158,x] = F[159,x]+F[4,x]
F[159,x] = F[160,x]+F[87,x]
F[160,x] = F[161,x]
F[161,x] = F[37,x]*F[72,x]
F[162,x] = -F[163,x]+F[134,x]
F[163,x] = -F[70,x]+F[4,x]
F[164,x] = F[165,x]
F[165,x] = F[166,x]+F[225,x]
F[166,x] = F[167,x]
F[167,x] = F[45,x]^3*F[168,x]*F[37,x]
F[168,x] = 1/F[45,x]*F[169,x]
F[169,x] = -F[211,x]+F[170,x]
F[170,x] = -F[193,x]+F[171,x]
F[171,x] = -F[175,x]+F[172,x]
F[172,x] = 1/F[37,x]*F[173,x]
F[173,x] = F[174,x]
F[174,x] = -F[38,x]+F[153,x]
F[175,x] = F[176,x]+F[179,x]
F[176,x] = 1/F[37,x]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = -F[163,x]+F[134,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]+F[182,x]
F[181,x] = F[66,x]*F[71,x]
F[182,x] = F[183,x]
F[183,x] = F[45,x]^2*F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]*F[37,x]
F[186,x] = -F[190,x]+F[187,x]
F[187,x] = F[188,x]
F[188,x] = F[174,x]+F[189,x]
F[189,x] = F[36,x]*F[71,x]
F[190,x] = F[191,x]
F[191,x] = -F[192,x]+F[137,x]
F[192,x] = -F[4,x]+F[32,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[196,x]*F[210,x]*F[37,x]
F[196,x] = 1/F[37,x]*F[197,x]
F[197,x] = F[198,x]
F[198,x] = 1/F[70,x]*F[199,x]
F[199,x] = -F[202,x]+F[200,x]
F[200,x] = F[147,x]+F[201,x]
F[201,x] = F[143,x]*F[156,x]
F[202,x] = -F[209,x]+F[203,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[166,x]+F[201,x]
F[205,x] = F[206,x]
F[206,x] = F[196,x]*F[207,x]*F[37,x]
F[207,x] = F[156,x]+F[208,x]
F[208,x] = -F[69,x]+F[118,x]
F[209,x] = F[166,x]
F[210,x] = -F[26,x]+F[118,x]
F[211,x] = -F[224,x]+F[212,x]
F[212,x] = F[213,x]+F[217,x]
F[213,x] = -F[214,x]+F[171,x]
F[214,x] = F[215,x]
F[215,x] = -F[216,x]+F[170,x]
F[216,x] = F[143,x]*F[71,x]
F[217,x] = F[218,x]
F[218,x] = F[219,x]*F[37,x]
F[219,x] = F[220,x]+F[223,x]
F[220,x] = F[221,x]*F[45,x]*F[46,x]
F[221,x] = 1/F[37,x]*F[222,x]
F[222,x] = F[168,x]
F[223,x] = F[120,x]*F[196,x]
F[224,x] = F[194,x]
F[225,x] = F[226,x]
F[226,x] = F[184,x]*F[45,x]*F[46,x]
F[227,x] = F[156,x]*F[228,x]
F[228,x] = F[143,x]+F[66,x]
F[229,x] = 1/F[37,x]*F[230,x]
F[230,x] = F[231,x]
F[231,x] = -F[271,x]+F[232,x]
F[232,x] = -F[240,x]+F[233,x]
F[233,x] = 1/F[37,x]*F[234,x]
F[234,x] = F[235,x]
F[235,x] = -F[2,x]+F[236,x]
F[236,x] = F[237,x]
F[237,x] = F[238,x]*F[37,x]
F[238,x] = 1/F[37,x]*F[239,x]
F[239,x] = F[163,x]
F[240,x] = -F[241,x]+F[238,x]
F[241,x] = F[242,x]+F[270,x]
F[242,x] = -F[261,x]+F[243,x]
F[243,x] = -F[246,x]+F[244,x]
F[244,x] = 1/F[37,x]*F[245,x]
F[245,x] = F[163,x]
F[246,x] = F[247,x]+F[248,x]
F[247,x] = F[163,x]*F[70,x]
F[248,x] = F[249,x]+F[251,x]
F[249,x] = F[250,x]
F[250,x] = F[229,x]*F[37,x]*F[76,x]
F[251,x] = F[252,x]
F[252,x] = F[253,x]*F[37,x]
F[253,x] = F[254,x]+F[255,x]
F[254,x] = F[229,x]*F[94,x]
F[255,x] = F[256,x]*F[97,x]
F[256,x] = F[257,x]+F[50,x]
F[257,x] = F[258,x]
F[258,x] = F[259,x]*F[37,x]*F[50,x]
F[259,x] = 1/F[121,x]/F[37,x]/F[45,x]*F[260,x]
F[260,x] = F[117,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[35,x]*F[70,x]
F[263,x] = F[264,x]
F[264,x] = F[265,x]*F[37,x]
F[265,x] = F[266,x]+F[267,x]
F[266,x] = F[229,x]*F[35,x]
F[267,x] = F[256,x]*F[268,x]
F[268,x] = -F[70,x]+F[269,x]
F[269,x] = F[113,x]+F[45,x]
F[270,x] = F[163,x]+F[271,x]
F[271,x] = F[272,x]
F[272,x] = F[273,x]*F[37,x]
F[273,x] = -F[24,x]+F[274,x]
F[274,x] = F[25,x]+F[28,x]
F[275,x] = F[256,x]*F[84,x]
F[276,x] = F[277,x]
F[277,x] = F[278,x]*F[37,x]
F[278,x] = F[279,x]+F[283,x]
F[279,x] = F[280,x]+F[281,x]
F[280,x] = F[229,x]*F[39,x]
F[281,x] = F[256,x]*F[282,x]
F[282,x] = -F[39,x]+F[43,x]
F[283,x] = F[284,x]+F[285,x]
F[284,x] = F[229,x]*F[82,x]
F[285,x] = F[256,x]*F[88,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]*F[37,x]
F[288,x] = 1/F[37,x]*F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[291,x]+F[296,x]
F[291,x] = F[292,x]
F[292,x] = F[15,x]*F[293,x]*F[37,x]
F[293,x] = F[26,x]+F[294,x]
F[294,x] = F[295,x]
F[295,x] = F[229,x]*F[37,x]
F[296,x] = F[297,x]
F[297,x] = F[298,x]*F[37,x]
F[298,x] = F[299,x]+F[310,x]
F[299,x] = F[300,x]
F[300,x] = F[301,x]*F[37,x]
F[301,x] = F[302,x]+F[308,x]
F[302,x] = F[26,x]*F[303,x]
F[303,x] = -F[306,x]+F[304,x]
F[304,x] = 1/F[37,x]*F[305,x]
F[305,x] = F[85,x]
F[306,x] = 1/F[37,x]*F[307,x]
F[307,x] = F[282,x]
F[308,x] = F[309,x]
F[309,x] = F[45,x]^2*F[15,x]*F[294,x]
F[310,x] = F[311,x]
F[311,x] = F[312,x]*F[37,x]
F[312,x] = F[313,x]+F[317,x]
F[313,x] = F[314,x]
F[314,x] = F[315,x]*F[45,x]*F[70,x]
F[315,x] = 1/F[37,x]*F[316,x]
F[316,x] = F[290,x]
F[317,x] = F[318,x]
F[318,x] = F[115,x]*F[15,x]*F[319,x]
F[319,x] = F[125,x]+F[320,x]
F[320,x] = 1/F[121,x]*F[321,x]
F[321,x] = -F[333,x]+F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[324,x]*F[37,x]
F[324,x] = F[325,x]+F[332,x]
F[325,x] = F[26,x]*F[326,x]
F[326,x] = F[327,x]+F[331,x]
F[327,x] = F[328,x]*F[45,x]
F[328,x] = F[1,x]+F[329,x]
F[329,x] = F[330,x]
F[330,x] = F[121,x]^2*F[37,x]
F[331,x] = F[121,x]*F[125,x]
F[332,x] = F[121,x]*F[294,x]*F[45,x]
F[333,x] = F[334,x]
F[334,x] = F[328,x]*F[35,x]*F[45,x]
F[335,x] = -F[339,x]+F[336,x]
F[336,x] = 1/F[37,x]*F[337,x]
F[337,x] = F[338,x]
F[338,x] = -F[77,x]+F[13,x]
F[339,x] = F[2,x]*F[9,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{37}\! \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_{37}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{24}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{290}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{10}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)
F_{15}\! \left(x \right) = x^{2} F_{15} \left(x \right)^{2}+2 x^{2} F_{15}\! \left(x \right)+4 x F_{15} \left(x \right)^{2}+x^{2}-13 x F_{15}\! \left(x \right)-F_{15} \left(x \right)^{2}+8 x +4 F_{15}\! \left(x \right)-2
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{37}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{286}\! \left(x \right)
F_{19}\! \left(x \right) = F_{14}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{37}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{276}\! \left(x \right)
F_{25}\! \left(x \right) = F_{2}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{27}\! \left(x \right) = -F_{28}\! \left(x \right)+F_{7}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right) F_{37}\! \left(x \right)
F_{30}\! \left(x \right) = F_{275}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{229}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{38}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = x F_{35} \left(x \right)^{4}+x^{2} F_{35} \left(x \right)^{2}+3 x F_{35} \left(x \right)^{3}+2 x^{2} F_{35}\! \left(x \right)+x F_{35} \left(x \right)^{2}-F_{35} \left(x \right)^{3}+x^{2}-F_{35}\! \left(x \right) x +F_{35}\! \left(x \right)
F_{36}\! \left(x \right) = F_{1}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = x
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{57}\! \left(x \right)
F_{39}\! \left(x \right) = F_{2}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{37}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{53}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{48}\! \left(x \right)
F_{44}\! \left(x \right) = F_{2}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{1}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{37}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{37}\! \left(x \right) F_{42}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{37}\! \left(x \right) F_{9}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{9}\! \left(x \right)
F_{53}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = \frac{F_{55}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{55}\! \left(x \right) = F_{5}\! \left(x \right)
F_{56}\! \left(x \right) = F_{43}\! \left(x \right)+F_{9}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{37}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{141}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{30}\! \left(x \right) F_{37}\! \left(x \right)
F_{65}\! \left(x \right) = F_{35}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{37}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{134}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)
F_{70}\! \left(x \right) = x F_{70} \left(x \right)^{4}+x^{2} F_{70} \left(x \right)^{2}-F_{70} \left(x \right)^{3} x -2 x F_{70} \left(x \right)^{2}-F_{70} \left(x \right)^{3}+2 F_{70}\! \left(x \right) x +3 F_{70} \left(x \right)^{2}-2 F_{70}\! \left(x \right)+1
F_{71}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{78}\! \left(x \right)
F_{73}\! \left(x \right) = F_{35}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{26}\! \left(x \right) F_{37}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{39}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = x^{2} F_{77} \left(x \right)^{2}+4 x^{2} F_{77}\! \left(x \right)+4 x F_{77} \left(x \right)^{2}+4 x^{2}-5 x F_{77}\! \left(x \right)-F_{77} \left(x \right)^{2}-x +2 F_{77}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{37}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{83}\! \left(x \right)
F_{81}\! \left(x \right) = F_{26}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{34}\! \left(x \right)+F_{57}\! \left(x \right)
F_{83}\! \left(x \right) = F_{45}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{86}\! \left(x \right)+F_{56}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{40}\! \left(x \right)+F_{77}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{82}\! \left(x \right)+F_{53}\! \left(x \right)
F_{89}\! \left(x \right) = F_{74}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{37}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)+F_{96}\! \left(x \right)
F_{93}\! \left(x \right) = F_{26}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{57}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{35}\! \left(x \right) F_{37}\! \left(x \right)
F_{96}\! \left(x \right) = F_{45}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{133}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{132}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{103}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{37}\! \left(x \right) F_{61}\! \left(x \right)
F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{54}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{9}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{34}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{37}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{127}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{124}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{111}\! \left(x \right) = F_{35}\! \left(x \right) F_{45}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{70}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{37}\! \left(x \right)
F_{115}\! \left(x \right) = \frac{F_{116}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right)}
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{118}\! \left(x \right) F_{37}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{45}\! \left(x \right)+F_{26}\! \left(x \right)
F_{121}\! \left(x \right) = F_{1}\! \left(x \right)+F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{121}\! \left(x \right) F_{37}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{45}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{37}\! \left(x \right) F_{50}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{45}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{125}\! \left(x \right) F_{35}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{70}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{99}\! \left(x \right)
F_{132}\! \left(x \right) = F_{77}\! \left(x \right)+F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{103}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{102}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{37}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{72}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{146}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{35}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{37}\! \left(x \right)
F_{145}\! \left(x \right) = F_{4}\! \left(x \right)+F_{72}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{227}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = -F_{164}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = \frac{F_{150}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{154}\! \left(x \right)+F_{135}\! \left(x \right)
F_{154}\! \left(x \right) = F_{132}\! \left(x \right)+F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{37}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{69}\! \left(x \right)
F_{157}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{4}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{87}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{37}\! \left(x \right) F_{72}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{134}\! \left(x \right)
F_{163}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{225}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{45} \left(x \right)^{3} F_{168}\! \left(x \right) F_{37}\! \left(x \right)
F_{168}\! \left(x \right) = \frac{F_{169}\! \left(x \right)}{F_{45}\! \left(x \right)}
F_{169}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{153}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{179}\! \left(x \right)
F_{176}\! \left(x \right) = \frac{F_{177}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{134}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{182}\! \left(x \right)
F_{181}\! \left(x \right) = F_{66}\! \left(x \right) F_{71}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{37}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{174}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{36}\! \left(x \right) F_{71}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{137}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{32}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{210}\! \left(x \right) F_{37}\! \left(x \right)
F_{196}\! \left(x \right) = \frac{F_{197}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{197}\! \left(x \right) = F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{70}\! \left(x \right)}
F_{199}\! \left(x \right) = -F_{202}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{147}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{143}\! \left(x \right) F_{156}\! \left(x \right)
F_{202}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{166}\! \left(x \right)+F_{201}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{196}\! \left(x \right) F_{207}\! \left(x \right) F_{37}\! \left(x \right)
F_{207}\! \left(x \right) = F_{156}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{118}\! \left(x \right)
F_{209}\! \left(x \right) = F_{166}\! \left(x \right)
F_{210}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{118}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{217}\! \left(x \right)
F_{213}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{171}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{216}\! \left(x \right)+F_{170}\! \left(x \right)
F_{216}\! \left(x \right) = F_{143}\! \left(x \right) F_{71}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right) F_{37}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)+F_{223}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right) F_{45}\! \left(x \right) F_{46}\! \left(x \right)
F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{222}\! \left(x \right) = F_{168}\! \left(x \right)
F_{223}\! \left(x \right) = F_{120}\! \left(x \right) F_{196}\! \left(x \right)
F_{224}\! \left(x \right) = F_{194}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{184}\! \left(x \right) F_{45}\! \left(x \right) F_{46}\! \left(x \right)
F_{227}\! \left(x \right) = F_{156}\! \left(x \right) F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{143}\! \left(x \right)+F_{66}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = -F_{271}\! \left(x \right)+F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = \frac{F_{234}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{234}\! \left(x \right) = F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right) F_{37}\! \left(x \right)
F_{238}\! \left(x \right) = \frac{F_{239}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{239}\! \left(x \right) = F_{163}\! \left(x \right)
F_{240}\! \left(x \right) = -F_{241}\! \left(x \right)+F_{238}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{270}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = \frac{F_{245}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{245}\! \left(x \right) = F_{163}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{248}\! \left(x \right)
F_{247}\! \left(x \right) = F_{163}\! \left(x \right) F_{70}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{251}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{229}\! \left(x \right) F_{37}\! \left(x \right) F_{76}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right) F_{37}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{255}\! \left(x \right)
F_{254}\! \left(x \right) = F_{229}\! \left(x \right) F_{94}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right) F_{97}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)+F_{50}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right) F_{37}\! \left(x \right) F_{50}\! \left(x \right)
F_{259}\! \left(x \right) = \frac{F_{260}\! \left(x \right)}{F_{121}\! \left(x \right) F_{37}\! \left(x \right) F_{45}\! \left(x \right)}
F_{260}\! \left(x \right) = F_{117}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{35}\! \left(x \right) F_{70}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right) F_{37}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{267}\! \left(x \right)
F_{266}\! \left(x \right) = F_{229}\! \left(x \right) F_{35}\! \left(x \right)
F_{267}\! \left(x \right) = F_{256}\! \left(x \right) F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{113}\! \left(x \right)+F_{45}\! \left(x \right)
F_{270}\! \left(x \right) = F_{163}\! \left(x \right)+F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right) F_{37}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{25}\! \left(x \right)+F_{28}\! \left(x \right)
F_{275}\! \left(x \right) = F_{256}\! \left(x \right) F_{84}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right) F_{37}\! \left(x \right)
F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{283}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{281}\! \left(x \right)
F_{280}\! \left(x \right) = F_{229}\! \left(x \right) F_{39}\! \left(x \right)
F_{281}\! \left(x \right) = F_{256}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{283}\! \left(x \right) = F_{284}\! \left(x \right)+F_{285}\! \left(x \right)
F_{284}\! \left(x \right) = F_{229}\! \left(x \right) F_{82}\! \left(x \right)
F_{285}\! \left(x \right) = F_{256}\! \left(x \right) F_{88}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right) F_{37}\! \left(x \right)
F_{288}\! \left(x \right) = \frac{F_{289}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{291}\! \left(x \right)+F_{296}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{15}\! \left(x \right) F_{293}\! \left(x \right) F_{37}\! \left(x \right)
F_{293}\! \left(x \right) = F_{26}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = F_{229}\! \left(x \right) F_{37}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right) F_{37}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{310}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right) F_{37}\! \left(x \right)
F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{308}\! \left(x \right)
F_{302}\! \left(x \right) = F_{26}\! \left(x \right) F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = -F_{306}\! \left(x \right)+F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = \frac{F_{305}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{305}\! \left(x \right) = F_{85}\! \left(x \right)
F_{306}\! \left(x \right) = \frac{F_{307}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{307}\! \left(x \right) = F_{282}\! \left(x \right)
F_{308}\! \left(x \right) = F_{309}\! \left(x \right)
F_{309}\! \left(x \right) = F_{45} \left(x \right)^{2} F_{15}\! \left(x \right) F_{294}\! \left(x \right)
F_{310}\! \left(x \right) = F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right) F_{37}\! \left(x \right)
F_{312}\! \left(x \right) = F_{313}\! \left(x \right)+F_{317}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)
F_{314}\! \left(x \right) = F_{315}\! \left(x \right) F_{45}\! \left(x \right) F_{70}\! \left(x \right)
F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{316}\! \left(x \right) = F_{290}\! \left(x \right)
F_{317}\! \left(x \right) = F_{318}\! \left(x \right)
F_{318}\! \left(x \right) = F_{115}\! \left(x \right) F_{15}\! \left(x \right) F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{125}\! \left(x \right)+F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = \frac{F_{321}\! \left(x \right)}{F_{121}\! \left(x \right)}
F_{321}\! \left(x \right) = -F_{333}\! \left(x \right)+F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{324}\! \left(x \right) F_{37}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{332}\! \left(x \right)
F_{325}\! \left(x \right) = F_{26}\! \left(x \right) F_{326}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)+F_{331}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right) F_{45}\! \left(x \right)
F_{328}\! \left(x \right) = F_{1}\! \left(x \right)+F_{329}\! \left(x \right)
F_{329}\! \left(x \right) = F_{330}\! \left(x \right)
F_{330}\! \left(x \right) = F_{121} \left(x \right)^{2} F_{37}\! \left(x \right)
F_{331}\! \left(x \right) = F_{121}\! \left(x \right) F_{125}\! \left(x \right)
F_{332}\! \left(x \right) = F_{121}\! \left(x \right) F_{294}\! \left(x \right) F_{45}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{328}\! \left(x \right) F_{35}\! \left(x \right) F_{45}\! \left(x \right)
F_{335}\! \left(x \right) = -F_{339}\! \left(x \right)+F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = \frac{F_{337}\! \left(x \right)}{F_{37}\! \left(x \right)}
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)
F_{338}\! \left(x \right) = -F_{77}\! \left(x \right)+F_{13}\! \left(x \right)
F_{339}\! \left(x \right) = F_{2}\! \left(x \right) F_{9}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_37(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_37(x)*F_7(x))
Eq(F_7(x), F_24(x) + F_8(x))
Eq(F_8(x), F_290(x) + F_9(x))
Eq(F_9(x), F_10(x)/F_0(x))
Eq(F_10(x), F_11(x) - F_335(x))
Eq(F_11(x), F_12(x)/F_37(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), -F_0(x) + F_14(x))
Eq(F_14(x), F_15(x) + F_16(x))
Eq(F_15(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_15(x)**2 + (2*x**2 - 13*x + 4)*F_15(x) - 2)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_37(x))
Eq(F_18(x), F_19(x) + F_286(x))
Eq(F_19(x), F_14(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_37(x))
Eq(F_22(x), F_23(x)/F_37(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) + F_276(x))
Eq(F_25(x), F_2(x)*F_26(x))
Eq(F_26(x), F_27(x)/F_0(x))
Eq(F_27(x), -F_28(x) + F_7(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x)*F_37(x))
Eq(F_30(x), F_275(x) + F_31(x))
Eq(F_31(x), F_229(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_38(x))
Eq(F_33(x), F_15(x) + F_34(x))
Eq(F_34(x), F_35(x)*F_36(x))
Eq(F_35(x), x*(F_35(x) + 1)**4 + (-x - 1)*(F_35(x) + 1)**3 + (2*x - 3)*(F_35(x) + 1) + (F_35(x) + 1)**2*(x**2 - 2*x + 3) + F_35(x) + 1)
Eq(F_36(x), F_1(x) + F_37(x))
Eq(F_37(x), x)
Eq(F_38(x), F_39(x) + F_57(x))
Eq(F_39(x), F_2(x) + F_40(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_37(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_53(x))
Eq(F_43(x), F_44(x) + F_48(x))
Eq(F_44(x), F_2(x)*F_45(x))
Eq(F_45(x), F_1(x) + F_46(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_37(x)*F_45(x)**2)
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_37(x)*F_42(x)*F_50(x))
Eq(F_50(x), F_51(x)/(F_37(x)*F_9(x)))
Eq(F_51(x), F_52(x))
Eq(F_52(x), -F_45(x) + F_9(x))
Eq(F_53(x), F_54(x) - F_56(x))
Eq(F_54(x), F_55(x)/F_37(x))
Eq(F_55(x), F_5(x))
Eq(F_56(x), F_43(x) + F_9(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_37(x)*F_59(x))
Eq(F_59(x), F_141(x) + F_60(x))
Eq(F_60(x), F_61(x) + F_65(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_35(x)*F_4(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_30(x)*F_37(x))
Eq(F_65(x), F_35(x)*F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_37(x)*F_68(x))
Eq(F_68(x), F_134(x) + F_69(x))
Eq(F_69(x), F_70(x) + F_71(x))
Eq(F_70(x), x*F_70(x)**4 + (-x - 1)*F_70(x)**3 + (2*x - 2)*F_70(x) + (x**2 - 2*x + 3)*F_70(x)**2 + 1)
Eq(F_71(x), F_72(x) - F_89(x))
Eq(F_72(x), F_73(x) + F_78(x))
Eq(F_73(x), F_35(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_26(x)*F_37(x)*F_76(x))
Eq(F_76(x), F_39(x) + F_77(x))
Eq(F_77(x), x**2 + 8*x + (F_77(x) + 1)**2*(x**2 + 4*x - 1) + (F_77(x) + 1)*(2*x**2 - 13*x + 3) + F_77(x) - 2)
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_37(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_83(x))
Eq(F_81(x), F_26(x)*F_82(x))
Eq(F_82(x), F_34(x) + F_57(x))
Eq(F_83(x), F_45(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_88(x))
Eq(F_85(x), F_56(x) - F_86(x))
Eq(F_86(x), F_0(x) + F_87(x))
Eq(F_87(x), F_40(x) + F_77(x))
Eq(F_88(x), F_53(x) - F_82(x))
Eq(F_89(x), F_74(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_37(x)*F_92(x))
Eq(F_92(x), F_93(x) + F_96(x))
Eq(F_93(x), F_26(x)*F_94(x))
Eq(F_94(x), F_57(x) + F_95(x))
Eq(F_95(x), F_35(x)*F_37(x))
Eq(F_96(x), F_45(x)*F_97(x))
Eq(F_97(x), F_133(x) + F_98(x))
Eq(F_98(x), -F_132(x) + F_99(x))
Eq(F_99(x), F_100(x) - F_103(x))
Eq(F_100(x), F_101(x)/F_37(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_37(x)*F_61(x))
Eq(F_103(x), -F_104(x) + F_54(x))
Eq(F_104(x), F_105(x) + F_9(x))
Eq(F_105(x), F_106(x) + F_34(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_37(x))
Eq(F_108(x), F_109(x) + F_127(x))
Eq(F_109(x), F_110(x)*F_124(x))
Eq(F_110(x), F_111(x) + F_112(x))
Eq(F_111(x), F_35(x)*F_45(x))
Eq(F_112(x), F_113(x)*F_70(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_37(x))
Eq(F_115(x), F_116(x)/(F_121(x)*F_37(x)))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_118(x)*F_121(x)**2*F_37(x))
Eq(F_118(x), F_119(x)/(F_121(x)*F_37(x)))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_26(x) - F_45(x))
Eq(F_121(x), F_1(x) + F_122(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_121(x)*F_37(x))
Eq(F_124(x), F_125(x) + F_45(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_37(x)*F_50(x))
Eq(F_127(x), F_128(x)*F_45(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_125(x)*F_35(x))
Eq(F_130(x), F_131(x)*F_70(x))
Eq(F_131(x), -F_52(x) + F_99(x))
Eq(F_132(x), F_77(x) + F_95(x))
Eq(F_133(x), F_103(x) - F_38(x))
Eq(F_134(x), F_135(x) - F_137(x))
Eq(F_135(x), F_136(x)/F_37(x))
Eq(F_136(x), F_102(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x)*F_37(x))
Eq(F_139(x), F_140(x)/F_37(x))
Eq(F_140(x), F_72(x))
Eq(F_141(x), F_142(x) + F_146(x))
Eq(F_142(x), F_143(x)*F_35(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_145(x)*F_37(x))
Eq(F_145(x), F_4(x) + F_72(x))
Eq(F_146(x), F_147(x) - F_194(x))
Eq(F_147(x), F_148(x) - F_227(x))
Eq(F_148(x), F_149(x) - F_164(x))
Eq(F_149(x), F_150(x)/F_37(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_152(x) - F_162(x))
Eq(F_152(x), F_153(x) - F_157(x))
Eq(F_153(x), F_135(x) - F_154(x))
Eq(F_154(x), F_132(x) + F_155(x))
Eq(F_155(x), F_156(x)*F_37(x))
Eq(F_156(x), F_69(x) - F_70(x))
Eq(F_157(x), F_158(x) - F_33(x))
Eq(F_158(x), F_159(x) + F_4(x))
Eq(F_159(x), F_160(x) + F_87(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_37(x)*F_72(x))
Eq(F_162(x), F_134(x) - F_163(x))
Eq(F_163(x), F_4(x) - F_70(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x) + F_225(x))
Eq(F_166(x), F_167(x))
Eq(F_167(x), F_168(x)*F_37(x)*F_45(x)**3)
Eq(F_168(x), F_169(x)/F_45(x))
Eq(F_169(x), F_170(x) - F_211(x))
Eq(F_170(x), F_171(x) - F_193(x))
Eq(F_171(x), F_172(x) - F_175(x))
Eq(F_172(x), F_173(x)/F_37(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_153(x) - F_38(x))
Eq(F_175(x), F_176(x) + F_179(x))
Eq(F_176(x), F_177(x)/F_37(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_134(x) - F_163(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x) + F_182(x))
Eq(F_181(x), F_66(x)*F_71(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_184(x)*F_45(x)**2)
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x)*F_37(x))
Eq(F_186(x), F_187(x) - F_190(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_174(x) + F_189(x))
Eq(F_189(x), F_36(x)*F_71(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_137(x) - F_192(x))
Eq(F_192(x), F_32(x) - F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_196(x)*F_210(x)*F_37(x))
Eq(F_196(x), F_197(x)/F_37(x))
Eq(F_197(x), F_198(x))
Eq(F_198(x), F_199(x)/F_70(x))
Eq(F_199(x), F_200(x) - F_202(x))
Eq(F_200(x), F_147(x) + F_201(x))
Eq(F_201(x), F_143(x)*F_156(x))
Eq(F_202(x), F_203(x) - F_209(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_166(x) + F_201(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_196(x)*F_207(x)*F_37(x))
Eq(F_207(x), F_156(x) + F_208(x))
Eq(F_208(x), F_118(x) - F_69(x))
Eq(F_209(x), F_166(x))
Eq(F_210(x), F_118(x) - F_26(x))
Eq(F_211(x), F_212(x) - F_224(x))
Eq(F_212(x), F_213(x) + F_217(x))
Eq(F_213(x), F_171(x) - F_214(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_170(x) - F_216(x))
Eq(F_216(x), F_143(x)*F_71(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_219(x)*F_37(x))
Eq(F_219(x), F_220(x) + F_223(x))
Eq(F_220(x), F_221(x)*F_45(x)*F_46(x))
Eq(F_221(x), F_222(x)/F_37(x))
Eq(F_222(x), F_168(x))
Eq(F_223(x), F_120(x)*F_196(x))
Eq(F_224(x), F_194(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_184(x)*F_45(x)*F_46(x))
Eq(F_227(x), F_156(x)*F_228(x))
Eq(F_228(x), F_143(x) + F_66(x))
Eq(F_229(x), F_230(x)/F_37(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_232(x) - F_271(x))
Eq(F_232(x), F_233(x) - F_240(x))
Eq(F_233(x), F_234(x)/F_37(x))
Eq(F_234(x), F_235(x))
Eq(F_235(x), -F_2(x) + F_236(x))
Eq(F_236(x), F_237(x))
Eq(F_237(x), F_238(x)*F_37(x))
Eq(F_238(x), F_239(x)/F_37(x))
Eq(F_239(x), F_163(x))
Eq(F_240(x), F_238(x) - F_241(x))
Eq(F_241(x), F_242(x) + F_270(x))
Eq(F_242(x), F_243(x) - F_261(x))
Eq(F_243(x), F_244(x) - F_246(x))
Eq(F_244(x), F_245(x)/F_37(x))
Eq(F_245(x), F_163(x))
Eq(F_246(x), F_247(x) + F_248(x))
Eq(F_247(x), F_163(x)*F_70(x))
Eq(F_248(x), F_249(x) + F_251(x))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_229(x)*F_37(x)*F_76(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_253(x)*F_37(x))
Eq(F_253(x), F_254(x) + F_255(x))
Eq(F_254(x), F_229(x)*F_94(x))
Eq(F_255(x), F_256(x)*F_97(x))
Eq(F_256(x), F_257(x) + F_50(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_259(x)*F_37(x)*F_50(x))
Eq(F_259(x), F_260(x)/(F_121(x)*F_37(x)*F_45(x)))
Eq(F_260(x), F_117(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_35(x)*F_70(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_265(x)*F_37(x))
Eq(F_265(x), F_266(x) + F_267(x))
Eq(F_266(x), F_229(x)*F_35(x))
Eq(F_267(x), F_256(x)*F_268(x))
Eq(F_268(x), F_269(x) - F_70(x))
Eq(F_269(x), F_113(x) + F_45(x))
Eq(F_270(x), F_163(x) + F_271(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x)*F_37(x))
Eq(F_273(x), -F_24(x) + F_274(x))
Eq(F_274(x), F_25(x) + F_28(x))
Eq(F_275(x), F_256(x)*F_84(x))
Eq(F_276(x), F_277(x))
Eq(F_277(x), F_278(x)*F_37(x))
Eq(F_278(x), F_279(x) + F_283(x))
Eq(F_279(x), F_280(x) + F_281(x))
Eq(F_280(x), F_229(x)*F_39(x))
Eq(F_281(x), F_256(x)*F_282(x))
Eq(F_282(x), -F_39(x) + F_43(x))
Eq(F_283(x), F_284(x) + F_285(x))
Eq(F_284(x), F_229(x)*F_82(x))
Eq(F_285(x), F_256(x)*F_88(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x)*F_37(x))
Eq(F_288(x), F_289(x)/F_37(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_291(x) + F_296(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_15(x)*F_293(x)*F_37(x))
Eq(F_293(x), F_26(x) + F_294(x))
Eq(F_294(x), F_295(x))
Eq(F_295(x), F_229(x)*F_37(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_298(x)*F_37(x))
Eq(F_298(x), F_299(x) + F_310(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_301(x)*F_37(x))
Eq(F_301(x), F_302(x) + F_308(x))
Eq(F_302(x), F_26(x)*F_303(x))
Eq(F_303(x), F_304(x) - F_306(x))
Eq(F_304(x), F_305(x)/F_37(x))
Eq(F_305(x), F_85(x))
Eq(F_306(x), F_307(x)/F_37(x))
Eq(F_307(x), F_282(x))
Eq(F_308(x), F_309(x))
Eq(F_309(x), F_15(x)*F_294(x)*F_45(x)**2)
Eq(F_310(x), F_311(x))
Eq(F_311(x), F_312(x)*F_37(x))
Eq(F_312(x), F_313(x) + F_317(x))
Eq(F_313(x), F_314(x))
Eq(F_314(x), F_315(x)*F_45(x)*F_70(x))
Eq(F_315(x), F_316(x)/F_37(x))
Eq(F_316(x), F_290(x))
Eq(F_317(x), F_318(x))
Eq(F_318(x), F_115(x)*F_15(x)*F_319(x))
Eq(F_319(x), F_125(x) + F_320(x))
Eq(F_320(x), F_321(x)/F_121(x))
Eq(F_321(x), F_322(x) - F_333(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_324(x)*F_37(x))
Eq(F_324(x), F_325(x) + F_332(x))
Eq(F_325(x), F_26(x)*F_326(x))
Eq(F_326(x), F_327(x) + F_331(x))
Eq(F_327(x), F_328(x)*F_45(x))
Eq(F_328(x), F_1(x) + F_329(x))
Eq(F_329(x), F_330(x))
Eq(F_330(x), F_121(x)**2*F_37(x))
Eq(F_331(x), F_121(x)*F_125(x))
Eq(F_332(x), F_121(x)*F_294(x)*F_45(x))
Eq(F_333(x), F_334(x))
Eq(F_334(x), F_328(x)*F_35(x)*F_45(x))
Eq(F_335(x), F_336(x) - F_339(x))
Eq(F_336(x), F_337(x)/F_37(x))
Eq(F_337(x), F_338(x))
Eq(F_338(x), F_13(x) - F_77(x))
Eq(F_339(x), F_2(x)*F_9(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 3, 2, 4], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [1, 3, 0, 2, 4], [1, 3, 0, 4, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "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]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 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, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 3, 0, 4, 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, 1], [0, 0]]}, {"patt": [1, 3, 0, 4, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": 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