02143_02413_20143_20413_21043_21403_24013_24103
Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3028, 16690, 94229, 541722, 3158594, 18625214, 110838544, 664625680, 4010805758, 24335433744, 148343322921, 907925048464, 5576543714571, 34358251168472, 212273236416899, 1314706587172766, 8160601117628765, 50755264908371142, 316245571460967498, 1973702249383362746, 12336472086902231918, 77214402343900834054, 483900219008359342840, 3036135079618880928434, 19070249075406866496308, 119902402174905049315510, 754580101037434479029930, 4752930620301596141929500, 29962056188008140308911586, 189022467123967057914113862, 1193346629301220316734314322, 7538981194791656354684252234, 47657874180740480229580690343, 301451286248967118957469483928, 1907857193362780129740939001219, 12081135299510043949735279681708, 76540399927501025988849771042518, 485158507079220482766303366533242, 3076636568263831794828463996616186, 19519055273801371348412518149381236, 123886089730765746597001831765872152, 786609477380085047929440409642310506, 4996443334444294167782017775797600340, 31748317707844703964901538934389365172, 201804894169350860589950186069005820282, 1283180030361666112728422408829270412826, 8161735193774573598369380230941815326204, 51929108802593912854650758343721395120266, 330496972153162690881226663675856850831578, 2104008254693571373776812495342892068143582, 13398189269982516399931886145355511538337126, 85341275921485728255180413310085488114823778, 543728867118023152291849810373781571814670250, 3465069851198591824418169272622730878596964724, 22087382815538630241589536892993132958477122446, 140823682486922988073137748015176243938403054992, 898055140055878613528655882545724699702084589952, 5728264193504648512958925192105365211678659901082, 36545409165473557196374996507623552163946660039745, 233200532482891014438846452256467285467292364553962, 1488368512709366413695510249043683767917525717422419, 9501082129799421624959085762288862295543032972096460, 60661743772120870783065821352346149109650296026298637, 387376792061101094738595024897348820707128961562094010, 2474155398737060534740849682011192867687874026387620014, 15804941540336340811692082701745435884789779016811725560, 100978596637188153806945157251229366585043772883442184411, 645259407991607797883424549023500841663085511381121678304, 4123880597668016647328943456377313622457976415254019515338, 26359839720751167227189162623486889178913233095937958982944, 168516601666806361906955028970920257434701486876172826126754, 1077467632954598102242734038369866521067665345204180932686534, 6890104706515323629634063607066409702351962764937109955445311, 44066236179190651122847517490680723671423919351578389304230696, 281866328876374174835380380300949512444024576096294371581362870, 1803167871631221246813728798237667348429359717386647439736337568, 11536750775563128550751524614123800923871655650518442557901966389, 73821687594861533384027281555022194604927772537155592221325049706, 472428732907898886792499137851657309497721024570641740647691481137, 3023704367299760909873974451969468762511823752202359594312482829618, 19354943063663586881193719300427746135941302026693535666959183021226, 123906164882934977743542584049445329684581490437458346968419852147724, 793307054745443429673016093449280667281401978123177612676559264210555, 5079676774465295098081174354542583261433289454096858777642749587656876, 32529412024433580891879246125591988681726329857906072877896195285558826, 208334295010181087858409481597534817478227107195071490025927296383526422, 1334408560310909124111597997541180581902247605653271802463898329353355254, 8547900918492597416335134384530578433688152472011362482669909115701084100, 54761065241545930466159361868940943119116945461686458311556770948707075407, 350853014470761202138288157518991482315402573716056275455830000662819966730, 2248115649292330736096316102365232387044395228107664103313612559412848743919, 14406265646478192559056882714805798994900777766081135174929780878288609862812, 92325733908412478091948793525859632018359347289978333405190914002655669607326, 591741418631140991410044104478363220330928781948465815220942764384431780156296
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25083/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[12,x]*F[7,x]
F[7,x] = F[248,x]+F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[7,x]
F[12,x] = x
F[13,x] = F[14,x]
F[14,x] = F[12,x]*F[15,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[4,x]*F[9,x]
F[17,x] = F[18,x]*F[180,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x,1]
F[21,x,k[0]] = F[22,x,k[0]]+F[35,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[31,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]+F[29,x,k[0]]
F[24,x,k[0]] = F[0,x]*F[25,x,k[0]]
F[25,x,k[0]] = F[1,x]+F[26,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[25,x,k[0]]*F[28,x,k[0]]
F[28,x,k[0]] = k[0]*x
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[12,x]*F[21,x,k[0]]*F[25,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[12,x]*F[33,x,k[0]]
F[33,x,k[0]] = F[17,x]+F[34,x,k[0]]
F[34,x,k[0]] = F[23,x,k[0]]*F[4,x]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[12,x]*F[37,x,k[0]]
F[37,x,k[0]] = F[247,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]*F[84,x]
F[39,x,k[0]] = F[40,x,k[0]]+F[41,x]
F[40,x,k[0]] = (F[21,x,k[0]]*k[0]-F[21,x,1])/(-1+k[0])
F[41,x] = F[42,x,1]
F[43,x,k[0]] = F[21,x,k[0]]+F[42,x,k[0]]
F[44,x,k[0]] = F[28,x,k[0]]*F[43,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[75,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[55,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[28,x,k[0]]*F[49,x,k[0]]
F[49,x,k[0]] = F[25,x,k[0]]+F[50,x,k[0]]
F[50,x,k[0]] = F[28,x,k[0]]+F[51,x,k[0]]
F[51,x,k[0]] = F[52,x]+F[53,x,k[0]]+F[54,x,k[0]]
F[52,x] = 0
F[53,x,k[0]] = F[26,x,k[0]]*F[28,x,k[0]]
F[54,x,k[0]] = F[28,x,k[0]]*F[50,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]
F[56,x,k[0]] = F[28,x,k[0]]*F[57,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]+F[59,x,k[0]]
F[58,x,k[0]] = F[2,x]*F[49,x,k[0]]
F[59,x,k[0]] = F[29,x,k[0]]+F[60,x,k[0]]
F[60,x,k[0]] = k[0]*F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[12,x]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]+F[69,x,k[0]]
F[64,x,k[0]] = F[21,x,k[0]]*F[65,x,k[0]]
F[65,x,k[0]] = F[12,x]+F[66,x,k[0]]
F[66,x,k[0]] = F[52,x]+F[67,x,k[0]]+F[68,x,k[0]]
F[67,x,k[0]] = F[12,x]*F[26,x,k[0]]
F[68,x,k[0]] = F[28,x,k[0]]*F[65,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[25,x,k[0]]*F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[12,x]*F[73,x,k[0]]
F[74,x,k[0]] = F[28,x,k[0]]*F[73,x,k[0]]
F[74,x,k[0]] = F[42,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[12,x]*F[77,x,k[0]]
F[77,x,k[0]] = F[78,x,k[0]]+F[85,x,k[0]]
F[78,x,k[0]] = F[79,x,k[0]]
F[79,x,k[0]] = F[28,x,k[0]]*F[80,x,k[0]]*F[84,x]
F[80,x,k[0]] = F[39,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = k[0]*F[83,x,k[0]]
F[83,x,k[0]] = (F[71,x,k[0]]*k[0]-F[71,x,1])/(-1+k[0])
F[84,x] = (x*F[84,x]-1)*(-1+x^3*F[84,x]^2+6*x^2*F[84,x]+(-11*F[84,x]+9)*x)
F[85,x,k[0]] = F[86,x,k[0]]
F[86,x,k[0]] = F[28,x,k[0]]*F[87,x,k[0]]
F[88,x,k[0]] = F[12,x]*F[87,x,k[0]]
F[88,x,k[0]] = F[89,x,k[0]]
F[89,x,k[0]] = F[106,x,k[0]]+F[90,x,k[0]]
F[90,x,k[0]] = F[84,x]*F[91,x,k[0]]
F[91,x,k[0]] = F[105,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[12,x]*F[25,x,k[0]]*F[94,x,k[0]]
F[94,x,k[0]] = F[4,x]+F[95,x,k[0]]
F[95,x,k[0]] = F[96,x,k[0]]
F[96,x,k[0]] = F[28,x,k[0]]*F[97,x,k[0]]
F[98,x,k[0]] = F[12,x]*F[97,x,k[0]]
F[98,x,k[0]] = F[99,x,k[0]]
F[100,x,k[0]] = F[104,x,k[0]]+F[99,x,k[0]]
F[101,x,k[0]] = F[100,x,k[0]]*F[28,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]
F[103,x,k[0]] = F[23,x,k[0]]*F[28,x,k[0]]
F[104,x,k[0]] = F[0,x]+F[102,x,k[0]]
F[105,x,k[0]] = F[55,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]*F[12,x]
F[108,x,k[0]] = F[109,x,k[0]]+F[227,x,k[0]]
F[110,x,k[0]] = F[109,x,k[0]]*F[28,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]
F[112,x,k[0]] = F[111,x,k[0]]+F[226,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]+F[219,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]*F[2,x]
F[115,x,k[0]] = F[114,x,k[0]]+F[117,x,k[0]]
F[116,x,k[0]] = F[115,x,k[0]]*F[12,x]
F[116,x,k[0]] = F[55,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]*F[28,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]+F[159,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]*F[123,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]+F[26,x,k[0]]
F[122,x,k[0]] = F[1,x]+F[47,x,k[0]]
F[123,x,k[0]] = F[124,x]+F[148,x,k[0]]
F[124,x] = F[125,x]+F[84,x]
F[125,x] = F[126,x]
F[126,x] = F[12,x]*F[127,x]*F[84,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x,1]
F[129,x,k[0]] = F[130,x,k[0]]+F[139,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[84,x]
F[131,x,k[0]] = F[132,x,k[0]]+F[26,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]
F[133,x,k[0]] = F[12,x]*F[134,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]+F[137,x,k[0]]
F[135,x,k[0]] = F[136,x]*F[26,x,k[0]]
F[136,x] = F[124,x]
F[137,x,k[0]] = F[138,x,k[0]]*F[25,x,k[0]]
F[129,x,k[0]] = F[136,x]+F[138,x,k[0]]
F[139,x,k[0]] = F[140,x,k[0]]+F[142,x,k[0]]
F[140,x,k[0]] = F[132,x,k[0]]+F[141,x]
F[141,x] = x*((1+F[141,x])^3*x^3+5*(1+F[141,x])^2*x^2+(-11*F[141,x]^2-19*F[141,x]-8)*x+10*F[141,x]+1)
F[142,x,k[0]] = F[143,x,k[0]]
F[143,x,k[0]] = F[12,x]*F[144,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]+F[146,x,k[0]]
F[145,x,k[0]] = F[129,x,k[0]]*F[140,x,k[0]]
F[146,x,k[0]] = F[147,x,k[0]]*F[84,x]
F[147,x,k[0]] = (F[138,x,k[0]]-F[138,x,1])/(-1+k[0])
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]*F[157,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]
F[152,x,k[0]] = F[12,x]*F[151,x,k[0]]*F[25,x,k[0]]
F[152,x,k[0]] = F[153,x,k[0]]
F[154,x,k[0]] = F[153,x,k[0]]+F[156,x,k[0]]
F[155,x,k[0]] = F[154,x,k[0]]*F[28,x,k[0]]
F[155,x,k[0]] = F[131,x,k[0]]
F[156,x,k[0]] = F[25,x,k[0]]*F[84,x]
F[157,x,k[0]] = F[158,x,k[0]]
F[158,x,k[0]] = k[0]*x
F[159,x,k[0]] = F[160,x,k[0]]*F[25,x,k[0]]
F[160,x,k[0]] = k[0]*F[161,x,k[0]]
F[162,x,k[0]] = F[161,x,k[0]]*F[25,x,k[0]]
F[163,x,k[0]] = F[162,x,k[0]]+F[218,x,k[0]]
F[164,x,k[0]] = F[12,x]*F[163,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]
F[166,x,k[0]] = F[12,x]*F[167,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]+F[169,x,k[0]]
F[168,x,k[0]] = F[129,x,k[0]]*F[65,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]*F[25,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]+F[172,x,k[0]]
F[171,x,k[0]] = F[165,x,k[0]]+F[65,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]
F[173,x,k[0]] = F[12,x]*F[174,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]+F[183,x,k[0]]
F[175,x,k[0]] = F[176,x,k[0]]+F[177,x,k[0]]
F[176,x,k[0]] = F[129,x,k[0]]*F[171,x,k[0]]
F[177,x,k[0]] = F[147,x,k[0]]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = F[12,x]*F[180,x]
F[180,x] = F[181,x,1]
F[181,x,k[0]] = (F[182,x,k[0]]*k[0]-F[182,x,1])/(-1+k[0])
F[182,x,k[0]] = (-1+x^3*F[182,x,k[0]]^2*k[0]^3+6*x^2*F[182,x,k[0]]*k[0]^2+(-11*F[182,x,k[0]]+9)*x*k[0])*(x*F[182,x,k[0]]*k[0]-1)
F[183,x,k[0]] = F[184,x,k[0]]+F[185,x,k[0]]
F[184,x,k[0]] = F[130,x,k[0]]*F[170,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]*F[84,x]
F[186,x,k[0]] = (F[187,x,k[0]]-F[187,x,1])/(-1+k[0])
F[170,x,k[0]] = F[187,x,k[0]]+F[188,x]
F[188,x] = -F[217,x]+F[189,x]
F[189,x] = 1/F[12,x]/F[200,x]*F[190,x]
F[190,x] = F[191,x]
F[191,x] = F[12,x]*F[192,x]
F[192,x] = F[193,x]+F[201,x]
F[193,x] = F[136,x]*F[194,x]
F[194,x] = F[195,x]+F[198,x]
F[195,x] = F[1,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[12,x]*F[194,x]
F[198,x] = F[199,x]
F[199,x] = F[12,x]*F[200,x]
F[200,x] = F[1,x]+F[198,x]
F[201,x] = -F[211,x]+F[202,x]
F[202,x] = 1/F[12,x]*F[203,x]
F[203,x] = F[204,x]
F[204,x] = F[205,x]+F[206,x]
F[205,x] = F[141,x]*F[195,x]
F[206,x] = F[207,x]
F[207,x] = F[12,x]*F[200,x]*F[208,x]
F[208,x] = F[209,x,1]
F[209,x,k[0]] = (F[210,x,k[0]]*k[0]-F[210,x,1])/(-1+k[0])
F[210,x,k[0]] = k[0]*(x^3*(1+F[210,x,k[0]])^3*k[0]^3+5*x^2*(1+F[210,x,k[0]])^2*k[0]^2-11*(F[210,x,k[0]]+8/11)*x*(1+F[210,x,k[0]])*k[0]+10*F[210,x,k[0]]+1)*x
F[211,x] = F[136,x]*F[212,x]
F[212,x] = F[213,x]+F[215,x]
F[213,x] = F[200,x]*F[214,x]
F[214,x] = F[1,x]+F[12,x]
F[215,x] = F[216,x]
F[216,x] = F[12,x]*F[198,x]*F[200,x]
F[217,x] = F[136,x]*F[200,x]
F[218,x,k[0]] = F[123,x,k[0]]*F[65,x,k[0]]
F[219,x,k[0]] = F[220,x,k[0]]
F[220,x,k[0]] = F[221,x,k[0]]*F[28,x,k[0]]
F[221,x,k[0]] = F[222,x,k[0]]+F[223,x,k[0]]
F[222,x,k[0]] = F[123,x,k[0]]*F[57,x,k[0]]
F[223,x,k[0]] = F[160,x,k[0]]*F[224,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]+F[29,x,k[0]]
F[225,x,k[0]] = F[2,x]*F[25,x,k[0]]
F[226,x,k[0]] = F[124,x]*F[55,x,k[0]]
F[227,x,k[0]] = F[228,x,k[0]]
F[228,x,k[0]] = F[12,x]*F[180,x]*F[229,x,k[0]]
F[230,x,k[0]] = F[12,x]*F[229,x,k[0]]*F[84,x]
F[230,x,k[0]] = F[231,x,k[0]]
F[231,x,k[0]] = F[232,x]+F[234,x,k[0]]
F[232,x] = F[233,x]
F[233,x] = F[12,x]*F[20,x]*F[84,x]
F[234,x,k[0]] = F[235,x,k[0]]
F[236,x,k[0]] = F[235,x,k[0]]+F[237,x,k[0]]
F[97,x,k[0]] = F[236,x,k[0]]+F[7,x]
F[237,x,k[0]] = F[238,x,k[0]]+F[241,x,k[0]]
F[238,x,k[0]] = F[102,x,k[0]]+F[239,x,k[0]]
F[239,x,k[0]] = F[240,x,k[0]]
F[240,x,k[0]] = F[12,x]*F[236,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]
F[242,x,k[0]] = F[12,x]*F[243,x,k[0]]
F[243,x,k[0]] = F[244,x,k[0]]+F[245,x,k[0]]
F[244,x,k[0]] = F[238,x,k[0]]*F[4,x]
F[245,x,k[0]] = F[246,x,k[0]]
F[246,x,k[0]] = F[154,x,k[0]]*F[95,x,k[0]]
F[247,x,k[0]] = F[131,x,k[0]]*F[21,x,k[0]]
F[248,x] = F[249,x]
F[249,x] = F[12,x]*F[250,x]*F[84,x]
F[250,x] = F[20,x]+F[41,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_{12}\! \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_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{248}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{180}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x , 1\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = y x
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{17}\! \left(x \right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{247}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{41}\! \left(x \right)
F_{40}\! \left(x , y\right) = -\frac{-F_{21}\! \left(x , y\right) y +F_{21}\! \left(x , 1\right)}{-1+y}
F_{41}\! \left(x \right) = F_{42}\! \left(x , 1\right)
F_{43}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{75}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x \right)+F_{53}\! \left(x , y\right)+F_{54}\! \left(x , y\right)
F_{52}\! \left(x \right) = 0
F_{53}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{50}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{49}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = y F_{61}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)+F_{69}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{52}\! \left(x \right)+F_{67}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{73}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{78}\! \left(x , y\right)+F_{85}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{80}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{80}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = y F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = -\frac{-F_{71}\! \left(x , y\right) y +F_{71}\! \left(x , 1\right)}{-1+y}
F_{84}\! \left(x \right) = x^{4} F_{84} \left(x \right)^{3}+5 x^{3} F_{84} \left(x \right)^{2}-11 x^{2} F_{84} \left(x \right)^{2}+3 x^{2} F_{84}\! \left(x \right)+10 x F_{84}\! \left(x \right)-9 x +1
F_{85}\! \left(x , y\right) = F_{86}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{84}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{25}\! \left(x , y\right) F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{97}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{99}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{102}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{227}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{109}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{226}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{219}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right) F_{2}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{117}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{116}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{159}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{123}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{47}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x \right)+F_{148}\! \left(x , y\right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{84}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right) F_{84}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x , 1\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{139}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{84}\! \left(x \right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{136}\! \left(x \right) = F_{124}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{136}\! \left(x \right)+F_{138}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{142}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = x^{4} F_{141} \left(x \right)^{3}+3 x^{4} F_{141} \left(x \right)^{2}+3 x^{4} F_{141}\! \left(x \right)+5 x^{3} F_{141} \left(x \right)^{2}+x^{4}+10 x^{3} F_{141}\! \left(x \right)-11 x^{2} F_{141} \left(x \right)^{2}+5 x^{3}-19 x^{2} F_{141}\! \left(x \right)-8 x^{2}+10 x F_{141}\! \left(x \right)+x
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{144}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{146}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{140}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{147}\! \left(x , y\right) = -\frac{-F_{138}\! \left(x , y\right)+F_{138}\! \left(x , 1\right)}{-1+y}
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right) F_{157}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{151}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{154}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = y x
F_{159}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = y F_{161}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{161}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{218}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{163}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)+F_{172}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{65}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{174}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)+F_{177}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{171}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{12}\! \left(x \right) F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x , 1\right)
F_{181}\! \left(x , y\right) = -\frac{-F_{182}\! \left(x , y\right) y +F_{182}\! \left(x , 1\right)}{-1+y}
F_{182}\! \left(x , y\right) = y^{4} x^{4} F_{182}\! \left(x , y\right)^{3}+5 x^{3} F_{182}\! \left(x , y\right)^{2} y^{3}-11 y^{2} x^{2} F_{182}\! \left(x , y\right)^{2}+3 x^{2} F_{182}\! \left(x , y\right) y^{2}+10 x F_{182}\! \left(x , y\right) y -9 y x +1
F_{183}\! \left(x , y\right) = F_{184}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{170}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{186}\! \left(x , y\right) = -\frac{-F_{187}\! \left(x , y\right)+F_{187}\! \left(x , 1\right)}{-1+y}
F_{170}\! \left(x , y\right) = F_{187}\! \left(x , y\right)+F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = \frac{F_{190}\! \left(x \right)}{F_{12}\! \left(x \right) F_{200}\! \left(x \right)}
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{12}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{201}\! \left(x \right)
F_{193}\! \left(x \right) = F_{136}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{198}\! \left(x \right)
F_{195}\! \left(x \right) = F_{1}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{12}\! \left(x \right) F_{194}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)
F_{199}\! \left(x \right) = F_{12}\! \left(x \right) F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{1}\! \left(x \right)+F_{198}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{206}\! \left(x \right)
F_{205}\! \left(x \right) = F_{141}\! \left(x \right) F_{195}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{12}\! \left(x \right) F_{200}\! \left(x \right) F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x , 1\right)
F_{209}\! \left(x , y\right) = -\frac{-y F_{210}\! \left(x , y\right)+F_{210}\! \left(x , 1\right)}{-1+y}
F_{210}\! \left(x , y\right) = x^{4} F_{210}\! \left(x , y\right)^{3} y^{4}+3 x^{4} F_{210}\! \left(x , y\right)^{2} y^{4}+3 x^{4} F_{210}\! \left(x , y\right) y^{4}+y^{4} x^{4}+5 x^{3} F_{210}\! \left(x , y\right)^{2} y^{3}+10 x^{3} F_{210}\! \left(x , y\right) y^{3}+5 x^{3} y^{3}-11 x^{2} F_{210}\! \left(x , y\right)^{2} y^{2}-19 x^{2} F_{210}\! \left(x , y\right) y^{2}-8 y^{2} x^{2}+10 x F_{210}\! \left(x , y\right) y +y x
F_{211}\! \left(x \right) = F_{136}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{215}\! \left(x \right)
F_{213}\! \left(x \right) = F_{200}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = F_{12}\! \left(x \right) F_{198}\! \left(x \right) F_{200}\! \left(x \right)
F_{217}\! \left(x \right) = F_{136}\! \left(x \right) F_{200}\! \left(x \right)
F_{218}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{65}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{222}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{57}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{225}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{124}\! \left(x \right) F_{55}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{228}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{180}\! \left(x \right) F_{229}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{229}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x \right)+F_{234}\! \left(x , y\right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{84}\! \left(x \right)
F_{234}\! \left(x , y\right) = F_{235}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{235}\! \left(x , y\right)+F_{237}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right)+F_{241}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{239}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = F_{240}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{236}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{242}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{243}\! \left(x , y\right)
F_{243}\! \left(x , y\right) = F_{244}\! \left(x , y\right)+F_{245}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{238}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{245}\! \left(x , y\right) = F_{246}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{154}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{247}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{21}\! \left(x , y\right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{12}\! \left(x \right) F_{250}\! \left(x \right) F_{84}\! \left(x \right)
F_{250}\! \left(x \right) = F_{20}\! \left(x \right)+F_{41}\! \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_12(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_12(x)*F_7(x))
Eq(F_7(x), F_248(x) + F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_7(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_12(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_4(x)*F_9(x))
Eq(F_17(x), F_18(x)*F_180(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x, 1))
Eq(F_21(x, k_0), F_22(x, k_0) + F_35(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_31(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0) + F_29(x, k_0))
Eq(F_24(x, k_0), F_0(x)*F_25(x, k_0))
Eq(F_25(x, k_0), F_1(x) + F_26(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_25(x, k_0)*F_28(x, k_0))
Eq(F_28(x, k_0), k_0*x)
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_12(x)*F_21(x, k_0)*F_25(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_12(x)*F_33(x, k_0))
Eq(F_33(x, k_0), F_17(x) + F_34(x, k_0))
Eq(F_34(x, k_0), F_23(x, k_0)*F_4(x))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x)*F_37(x, k_0))
Eq(F_37(x, k_0), F_247(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0)*F_84(x))
Eq(F_39(x, k_0), F_40(x, k_0) + F_41(x))
Eq(F_40(x, k_0), (-k_0*F_21(x, k_0) + F_21(x, 1))/(1 - k_0))
Eq(F_41(x), F_42(x, 1))
Eq(F_43(x, k_0), F_21(x, k_0) + F_42(x, k_0))
Eq(F_44(x, k_0), F_28(x, k_0)*F_43(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_75(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_55(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_28(x, k_0)*F_49(x, k_0))
Eq(F_49(x, k_0), F_25(x, k_0) + F_50(x, k_0))
Eq(F_50(x, k_0), F_28(x, k_0) + F_51(x, k_0))
Eq(F_51(x, k_0), F_52(x) + F_53(x, k_0) + F_54(x, k_0))
Eq(F_52(x), 0)
Eq(F_53(x, k_0), F_26(x, k_0)*F_28(x, k_0))
Eq(F_54(x, k_0), F_28(x, k_0)*F_50(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0))
Eq(F_56(x, k_0), F_28(x, k_0)*F_57(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0) + F_59(x, k_0))
Eq(F_58(x, k_0), F_2(x)*F_49(x, k_0))
Eq(F_59(x, k_0), F_29(x, k_0) + F_60(x, k_0))
Eq(F_60(x, k_0), k_0*F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_12(x)*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0) + F_69(x, k_0))
Eq(F_64(x, k_0), F_21(x, k_0)*F_65(x, k_0))
Eq(F_65(x, k_0), F_12(x) + F_66(x, k_0))
Eq(F_66(x, k_0), F_52(x) + F_67(x, k_0) + F_68(x, k_0))
Eq(F_67(x, k_0), F_12(x)*F_26(x, k_0))
Eq(F_68(x, k_0), F_28(x, k_0)*F_65(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_25(x, k_0)*F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_12(x)*F_73(x, k_0))
Eq(F_74(x, k_0), F_28(x, k_0)*F_73(x, k_0))
Eq(F_74(x, k_0), F_42(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_12(x)*F_77(x, k_0))
Eq(F_77(x, k_0), F_78(x, k_0) + F_85(x, k_0))
Eq(F_78(x, k_0), F_79(x, k_0))
Eq(F_79(x, k_0), F_28(x, k_0)*F_80(x, k_0)*F_84(x))
Eq(F_80(x, k_0), F_39(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), k_0*F_83(x, k_0))
Eq(F_83(x, k_0), (-k_0*F_71(x, k_0) + F_71(x, 1))/(1 - k_0))
Eq(F_84(x), x**4*F_84(x)**3 + x**2*(5*x - 11)*F_84(x)**2 - 9*x + (3*x**2 + 10*x)*F_84(x) + 1)
Eq(F_85(x, k_0), F_86(x, k_0))
Eq(F_86(x, k_0), F_28(x, k_0)*F_87(x, k_0))
Eq(F_88(x, k_0), F_12(x)*F_87(x, k_0))
Eq(F_88(x, k_0), F_89(x, k_0))
Eq(F_89(x, k_0), F_106(x, k_0) + F_90(x, k_0))
Eq(F_90(x, k_0), F_84(x)*F_91(x, k_0))
Eq(F_91(x, k_0), F_105(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_12(x)*F_25(x, k_0)*F_94(x, k_0))
Eq(F_94(x, k_0), F_4(x) + F_95(x, k_0))
Eq(F_95(x, k_0), F_96(x, k_0))
Eq(F_96(x, k_0), F_28(x, k_0)*F_97(x, k_0))
Eq(F_98(x, k_0), F_12(x)*F_97(x, k_0))
Eq(F_98(x, k_0), F_99(x, k_0))
Eq(F_100(x, k_0), F_104(x, k_0) + F_99(x, k_0))
Eq(F_101(x, k_0), F_100(x, k_0)*F_28(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0))
Eq(F_103(x, k_0), F_23(x, k_0)*F_28(x, k_0))
Eq(F_104(x, k_0), F_0(x) + F_102(x, k_0))
Eq(F_105(x, k_0), F_55(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0)*F_12(x))
Eq(F_108(x, k_0), F_109(x, k_0) + F_227(x, k_0))
Eq(F_110(x, k_0), F_109(x, k_0)*F_28(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0))
Eq(F_112(x, k_0), F_111(x, k_0) + F_226(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0) + F_219(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0)*F_2(x))
Eq(F_115(x, k_0), F_114(x, k_0) + F_117(x, k_0))
Eq(F_116(x, k_0), F_115(x, k_0)*F_12(x))
Eq(F_116(x, k_0), F_55(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0)*F_28(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0) + F_159(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0)*F_123(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0) + F_26(x, k_0))
Eq(F_122(x, k_0), F_1(x) + F_47(x, k_0))
Eq(F_123(x, k_0), F_124(x) + F_148(x, k_0))
Eq(F_124(x), F_125(x) + F_84(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_12(x)*F_127(x)*F_84(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x, 1))
Eq(F_129(x, k_0), F_130(x, k_0) + F_139(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_84(x))
Eq(F_131(x, k_0), F_132(x, k_0) + F_26(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0))
Eq(F_133(x, k_0), F_12(x)*F_134(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0) + F_137(x, k_0))
Eq(F_135(x, k_0), F_136(x)*F_26(x, k_0))
Eq(F_136(x), F_124(x))
Eq(F_137(x, k_0), F_138(x, k_0)*F_25(x, k_0))
Eq(F_129(x, k_0), F_136(x) + F_138(x, k_0))
Eq(F_139(x, k_0), F_140(x, k_0) + F_142(x, k_0))
Eq(F_140(x, k_0), F_132(x, k_0) + F_141(x))
Eq(F_141(x), x**4*(F_141(x) + 1)**3 + x**2*(5*x - 11)*(F_141(x) + 1)**2 - 9*x + (F_141(x) + 1)*(3*x**2 + 10*x - 1) + F_141(x) + 1)
Eq(F_142(x, k_0), F_143(x, k_0))
Eq(F_143(x, k_0), F_12(x)*F_144(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0) + F_146(x, k_0))
Eq(F_145(x, k_0), F_129(x, k_0)*F_140(x, k_0))
Eq(F_146(x, k_0), F_147(x, k_0)*F_84(x))
Eq(F_147(x, k_0), -F_138(x, k_0) + (-k_0*F_138(x, k_0) + F_138(x, 1))/(1 - k_0))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0)*F_157(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0))
Eq(F_152(x, k_0), F_12(x)*F_151(x, k_0)*F_25(x, k_0))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_154(x, k_0), F_153(x, k_0) + F_156(x, k_0))
Eq(F_155(x, k_0), F_154(x, k_0)*F_28(x, k_0))
Eq(F_155(x, k_0), F_131(x, k_0))
Eq(F_156(x, k_0), F_25(x, k_0)*F_84(x))
Eq(F_157(x, k_0), F_158(x, k_0))
Eq(F_158(x, k_0), k_0*x)
Eq(F_159(x, k_0), F_160(x, k_0)*F_25(x, k_0))
Eq(F_160(x, k_0), k_0*F_161(x, k_0))
Eq(F_162(x, k_0), F_161(x, k_0)*F_25(x, k_0))
Eq(F_163(x, k_0), F_162(x, k_0) + F_218(x, k_0))
Eq(F_164(x, k_0), F_12(x)*F_163(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0))
Eq(F_166(x, k_0), F_12(x)*F_167(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0) + F_169(x, k_0))
Eq(F_168(x, k_0), F_129(x, k_0)*F_65(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0)*F_25(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0) + F_172(x, k_0))
Eq(F_171(x, k_0), F_165(x, k_0) + F_65(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0))
Eq(F_173(x, k_0), F_12(x)*F_174(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0) + F_183(x, k_0))
Eq(F_175(x, k_0), F_176(x, k_0) + F_177(x, k_0))
Eq(F_176(x, k_0), F_129(x, k_0)*F_171(x, k_0))
Eq(F_177(x, k_0), F_147(x, k_0)*F_178(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_12(x)*F_180(x))
Eq(F_180(x), F_181(x, 1))
Eq(F_181(x, k_0), (-k_0*F_182(x, k_0) + F_182(x, 1))/(1 - k_0))
Eq(F_182(x, k_0), k_0**4*x**4*F_182(x, k_0)**3 + k_0**2*x**2*(5*k_0*x - 11)*F_182(x, k_0)**2 - 9*k_0*x + (3*k_0**2*x**2 + 10*k_0*x)*F_182(x, k_0) + 1)
Eq(F_183(x, k_0), F_184(x, k_0) + F_185(x, k_0))
Eq(F_184(x, k_0), F_130(x, k_0)*F_170(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0)*F_84(x))
Eq(F_186(x, k_0), -F_187(x, k_0) + (-k_0*F_187(x, k_0) + F_187(x, 1))/(1 - k_0))
Eq(F_170(x, k_0), F_187(x, k_0) + F_188(x))
Eq(F_188(x), F_189(x) - F_217(x))
Eq(F_189(x), F_190(x)/(F_12(x)*F_200(x)))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_12(x)*F_192(x))
Eq(F_192(x), F_193(x) + F_201(x))
Eq(F_193(x), F_136(x)*F_194(x))
Eq(F_194(x), F_195(x) + F_198(x))
Eq(F_195(x), F_1(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_12(x)*F_194(x))
Eq(F_198(x), F_199(x))
Eq(F_199(x), F_12(x)*F_200(x))
Eq(F_200(x), F_1(x) + F_198(x))
Eq(F_201(x), F_202(x) - F_211(x))
Eq(F_202(x), F_203(x)/F_12(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_205(x) + F_206(x))
Eq(F_205(x), F_141(x)*F_195(x))
Eq(F_206(x), F_207(x))
Eq(F_207(x), F_12(x)*F_200(x)*F_208(x))
Eq(F_208(x), F_209(x, 1))
Eq(F_209(x, k_0), (-k_0*F_210(x, k_0) + F_210(x, 1))/(1 - k_0))
Eq(F_210(x, k_0), k_0**4*x**4*(F_210(x, k_0) + 1)**3 + k_0**2*x**2*(5*k_0*x - 11)*(F_210(x, k_0) + 1)**2 - 9*k_0*x + (F_210(x, k_0) + 1)*(3*k_0**2*x**2 + 10*k_0*x - 1) + F_210(x, k_0) + 1)
Eq(F_211(x), F_136(x)*F_212(x))
Eq(F_212(x), F_213(x) + F_215(x))
Eq(F_213(x), F_200(x)*F_214(x))
Eq(F_214(x), F_1(x) + F_12(x))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_12(x)*F_198(x)*F_200(x))
Eq(F_217(x), F_136(x)*F_200(x))
Eq(F_218(x, k_0), F_123(x, k_0)*F_65(x, k_0))
Eq(F_219(x, k_0), F_220(x, k_0))
Eq(F_220(x, k_0), F_221(x, k_0)*F_28(x, k_0))
Eq(F_221(x, k_0), F_222(x, k_0) + F_223(x, k_0))
Eq(F_222(x, k_0), F_123(x, k_0)*F_57(x, k_0))
Eq(F_223(x, k_0), F_160(x, k_0)*F_224(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0) + F_29(x, k_0))
Eq(F_225(x, k_0), F_2(x)*F_25(x, k_0))
Eq(F_226(x, k_0), F_124(x)*F_55(x, k_0))
Eq(F_227(x, k_0), F_228(x, k_0))
Eq(F_228(x, k_0), F_12(x)*F_180(x)*F_229(x, k_0))
Eq(F_230(x, k_0), F_12(x)*F_229(x, k_0)*F_84(x))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_231(x, k_0), F_232(x) + F_234(x, k_0))
Eq(F_232(x), F_233(x))
Eq(F_233(x), F_12(x)*F_20(x)*F_84(x))
Eq(F_234(x, k_0), F_235(x, k_0))
Eq(F_236(x, k_0), F_235(x, k_0) + F_237(x, k_0))
Eq(F_97(x, k_0), F_236(x, k_0) + F_7(x))
Eq(F_237(x, k_0), F_238(x, k_0) + F_241(x, k_0))
Eq(F_238(x, k_0), F_102(x, k_0) + F_239(x, k_0))
Eq(F_239(x, k_0), F_240(x, k_0))
Eq(F_240(x, k_0), F_12(x)*F_236(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0))
Eq(F_242(x, k_0), F_12(x)*F_243(x, k_0))
Eq(F_243(x, k_0), F_244(x, k_0) + F_245(x, k_0))
Eq(F_244(x, k_0), F_238(x, k_0)*F_4(x))
Eq(F_245(x, k_0), F_246(x, k_0))
Eq(F_246(x, k_0), F_154(x, k_0)*F_95(x, k_0))
Eq(F_247(x, k_0), F_131(x, k_0)*F_21(x, k_0))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_12(x)*F_250(x)*F_84(x))
Eq(F_250(x), F_20(x) + F_41(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 4, 0, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 1, 0, 3], "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, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[1, 5]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 4]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [3, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[2, 3], [2, 3]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0, 2], "pos": [[3, 4], [3, 4], [3, 5]]}, {"patt": [1, 2, 0], "pos": [[3, 4], [3, 5], [3, 4]]}, {"patt": [1, 0, 3, 2], "pos": [[3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [1, 0, 3, 2], "pos": [[3, 5], [3, 4], [3, 5], [3, 5]]}, {"patt": [1, 0, 3, 2], "pos": [[3, 5], [3, 5], [3, 5], [3, 5]]}, {"patt": [1, 3, 0, 2], "pos": [[3, 4], [3, 4], [3, 4], [3, 4]]}, {"patt": [1, 3, 0, 2], "pos": [[3, 5], [3, 5], [3, 4], [3, 5]]}, {"patt": [1, 3, 0, 2], "pos": [[3, 5], [3, 5], [3, 5], [3, 5]]}], "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, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 3]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 3], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 3], [1, 2], [1, 3], [1, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 3], [1, 3], [1, 2], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}], "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": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 2], [3, 0], [3, 4], [3, 5]], [[1, 1]], [[2, 3]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 2], [1, 2], [1, 3]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 3], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 3], [1, 2], [1, 3], [1, 3]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 3], [1, 3], [1, 2], [1, 3]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 1], [1, 2], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 1], [1, 2], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 1], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 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]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [0, 1], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 1], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[1, 0]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[0, 5]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 4]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 3]]}, {"patt": [0], "pos": [[2, 5]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[3, 3]]}, {"patt": [0], "pos": [[3, 4]]}, {"patt": [0], "pos": [[3, 5]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 4], [2, 4]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [3, 0]]}, {"patt": [1, 0], "pos": [[2, 4], [2, 4]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 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"Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "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": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 1, 0], "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": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [2, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[2, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "SkewComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}
Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25603/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[12,x]*F[7,x]
F[7,x] = F[246,x]+F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[7,x]
F[12,x] = x
F[13,x] = F[14,x]
F[14,x] = F[12,x]*F[15,x]
F[15,x] = F[16,x]+F[17,x]
F[16,x] = F[4,x]*F[9,x]
F[17,x] = F[178,x]*F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[12,x]*F[20,x]
F[20,x] = F[21,x,1]
F[21,x,k[0]] = F[22,x,k[0]]+F[35,x,k[0]]
F[22,x,k[0]] = F[23,x,k[0]]+F[31,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]+F[29,x,k[0]]
F[24,x,k[0]] = F[0,x]*F[25,x,k[0]]
F[25,x,k[0]] = F[1,x]+F[26,x,k[0]]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[25,x,k[0]]*F[28,x,k[0]]
F[28,x,k[0]] = k[0]*x
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[12,x]*F[21,x,k[0]]*F[25,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[12,x]*F[33,x,k[0]]
F[33,x,k[0]] = F[17,x]+F[34,x,k[0]]
F[34,x,k[0]] = F[23,x,k[0]]*F[4,x]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[12,x]*F[37,x,k[0]]
F[37,x,k[0]] = F[245,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]*F[82,x]
F[39,x,k[0]] = F[40,x,k[0]]+F[41,x]
F[40,x,k[0]] = (F[21,x,k[0]]*k[0]-F[21,x,1])/(-1+k[0])
F[41,x] = F[42,x,1]
F[43,x,k[0]] = F[21,x,k[0]]+F[42,x,k[0]]
F[44,x,k[0]] = F[28,x,k[0]]*F[43,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]+F[73,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]+F[57,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]
F[48,x,k[0]] = F[28,x,k[0]]*F[49,x,k[0]]
F[49,x,k[0]] = F[25,x,k[0]]+F[50,x,k[0]]
F[50,x,k[0]] = F[28,x,k[0]]+F[51,x,k[0]]
F[51,x,k[0]] = k[0]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x]+F[54,x,k[0]]+F[55,x,k[0]]
F[53,x] = 0
F[54,x,k[0]] = F[12,x]*F[26,x,k[0]]
F[55,x,k[0]] = F[28,x,k[0]]*F[56,x,k[0]]
F[56,x,k[0]] = F[12,x]+F[52,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[28,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]+F[61,x,k[0]]
F[60,x,k[0]] = F[2,x]*F[49,x,k[0]]
F[61,x,k[0]] = F[29,x,k[0]]+F[62,x,k[0]]
F[62,x,k[0]] = k[0]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[12,x]*F[65,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]+F[67,x,k[0]]
F[66,x,k[0]] = F[21,x,k[0]]*F[56,x,k[0]]
F[67,x,k[0]] = F[68,x,k[0]]
F[68,x,k[0]] = F[25,x,k[0]]*F[69,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[12,x]*F[71,x,k[0]]
F[72,x,k[0]] = F[28,x,k[0]]*F[71,x,k[0]]
F[72,x,k[0]] = F[42,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[12,x]*F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]+F[83,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[28,x,k[0]]*F[78,x,k[0]]*F[82,x]
F[78,x,k[0]] = F[39,x,k[0]]+F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = k[0]*F[81,x,k[0]]
F[81,x,k[0]] = (F[69,x,k[0]]*k[0]-F[69,x,1])/(-1+k[0])
F[82,x] = (x*F[82,x]-1)*(-1+x^3*F[82,x]^2+6*x^2*F[82,x]+(-11*F[82,x]+9)*x)
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[28,x,k[0]]*F[85,x,k[0]]
F[86,x,k[0]] = F[12,x]*F[85,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0]]
F[87,x,k[0]] = F[104,x,k[0]]+F[88,x,k[0]]
F[88,x,k[0]] = F[82,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[103,x,k[0]]+F[90,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[12,x]*F[25,x,k[0]]*F[92,x,k[0]]
F[92,x,k[0]] = F[4,x]+F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[28,x,k[0]]*F[95,x,k[0]]
F[96,x,k[0]] = F[12,x]*F[95,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[98,x,k[0]] = F[102,x,k[0]]+F[97,x,k[0]]
F[99,x,k[0]] = F[28,x,k[0]]*F[98,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[23,x,k[0]]*F[28,x,k[0]]
F[102,x,k[0]] = F[0,x]+F[100,x,k[0]]
F[103,x,k[0]] = F[57,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]
F[105,x,k[0]] = F[106,x,k[0]]*F[12,x]
F[106,x,k[0]] = F[107,x,k[0]]+F[225,x,k[0]]
F[108,x,k[0]] = F[107,x,k[0]]*F[28,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]
F[110,x,k[0]] = F[109,x,k[0]]+F[224,x,k[0]]
F[110,x,k[0]] = F[111,x,k[0]]+F[217,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]*F[2,x]
F[113,x,k[0]] = F[112,x,k[0]]+F[115,x,k[0]]
F[114,x,k[0]] = F[113,x,k[0]]*F[12,x]
F[114,x,k[0]] = F[57,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]*F[28,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[157,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]*F[121,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]+F[26,x,k[0]]
F[120,x,k[0]] = F[1,x]+F[47,x,k[0]]
F[121,x,k[0]] = F[122,x]+F[146,x,k[0]]
F[122,x] = F[123,x]+F[82,x]
F[123,x] = F[124,x]
F[124,x] = F[12,x]*F[125,x]*F[82,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x,1]
F[127,x,k[0]] = F[128,x,k[0]]+F[137,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]+F[82,x]
F[129,x,k[0]] = F[130,x,k[0]]+F[26,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]
F[131,x,k[0]] = F[12,x]*F[132,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]+F[135,x,k[0]]
F[133,x,k[0]] = F[134,x]*F[26,x,k[0]]
F[134,x] = F[122,x]
F[135,x,k[0]] = F[136,x,k[0]]*F[25,x,k[0]]
F[127,x,k[0]] = F[134,x]+F[136,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]+F[140,x,k[0]]
F[138,x,k[0]] = F[130,x,k[0]]+F[139,x]
F[139,x] = x*((1+F[139,x])^3*x^3+5*(1+F[139,x])^2*x^2+(-11*F[139,x]^2-19*F[139,x]-8)*x+10*F[139,x]+1)
F[140,x,k[0]] = F[141,x,k[0]]
F[141,x,k[0]] = F[12,x]*F[142,x,k[0]]
F[142,x,k[0]] = F[143,x,k[0]]+F[144,x,k[0]]
F[143,x,k[0]] = F[127,x,k[0]]*F[138,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]*F[82,x]
F[145,x,k[0]] = (F[136,x,k[0]]-F[136,x,1])/(-1+k[0])
F[146,x,k[0]] = F[147,x,k[0]]
F[147,x,k[0]] = F[148,x,k[0]]*F[155,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]
F[150,x,k[0]] = F[12,x]*F[149,x,k[0]]*F[25,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]
F[152,x,k[0]] = F[151,x,k[0]]+F[154,x,k[0]]
F[153,x,k[0]] = F[152,x,k[0]]*F[28,x,k[0]]
F[153,x,k[0]] = F[129,x,k[0]]
F[154,x,k[0]] = F[25,x,k[0]]*F[82,x]
F[155,x,k[0]] = F[156,x,k[0]]
F[156,x,k[0]] = k[0]*x
F[157,x,k[0]] = F[158,x,k[0]]*F[25,x,k[0]]
F[158,x,k[0]] = k[0]*F[159,x,k[0]]
F[160,x,k[0]] = F[159,x,k[0]]*F[25,x,k[0]]
F[161,x,k[0]] = F[160,x,k[0]]+F[216,x,k[0]]
F[162,x,k[0]] = F[12,x]*F[161,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[12,x]*F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]+F[167,x,k[0]]
F[166,x,k[0]] = F[127,x,k[0]]*F[56,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]*F[25,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]+F[170,x,k[0]]
F[169,x,k[0]] = F[163,x,k[0]]+F[56,x,k[0]]
F[170,x,k[0]] = F[171,x,k[0]]
F[171,x,k[0]] = F[12,x]*F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]+F[181,x,k[0]]
F[173,x,k[0]] = F[174,x,k[0]]+F[175,x,k[0]]
F[174,x,k[0]] = F[127,x,k[0]]*F[169,x,k[0]]
F[175,x,k[0]] = F[145,x,k[0]]*F[176,x]
F[176,x] = F[177,x]
F[177,x] = F[12,x]*F[178,x]
F[178,x] = F[179,x,1]
F[179,x,k[0]] = (F[180,x,k[0]]*k[0]-F[180,x,1])/(-1+k[0])
F[180,x,k[0]] = (-1+x^3*F[180,x,k[0]]^2*k[0]^3+6*x^2*F[180,x,k[0]]*k[0]^2+(-11*F[180,x,k[0]]+9)*x*k[0])*(x*F[180,x,k[0]]*k[0]-1)
F[181,x,k[0]] = F[182,x,k[0]]+F[183,x,k[0]]
F[182,x,k[0]] = F[128,x,k[0]]*F[168,x,k[0]]
F[183,x,k[0]] = F[184,x,k[0]]*F[82,x]
F[184,x,k[0]] = (F[185,x,k[0]]-F[185,x,1])/(-1+k[0])
F[168,x,k[0]] = F[185,x,k[0]]+F[186,x]
F[186,x] = -F[215,x]+F[187,x]
F[187,x] = 1/F[12,x]/F[198,x]*F[188,x]
F[188,x] = F[189,x]
F[189,x] = F[12,x]*F[190,x]
F[190,x] = F[191,x]+F[199,x]
F[191,x] = F[134,x]*F[192,x]
F[192,x] = F[193,x]+F[196,x]
F[193,x] = F[1,x]+F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[12,x]*F[192,x]
F[196,x] = F[197,x]
F[197,x] = F[12,x]*F[198,x]
F[198,x] = F[1,x]+F[196,x]
F[199,x] = -F[209,x]+F[200,x]
F[200,x] = 1/F[12,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[139,x]*F[193,x]
F[204,x] = F[205,x]
F[205,x] = F[12,x]*F[198,x]*F[206,x]
F[206,x] = F[207,x,1]
F[207,x,k[0]] = (F[208,x,k[0]]*k[0]-F[208,x,1])/(-1+k[0])
F[208,x,k[0]] = x*(x^3*(1+F[208,x,k[0]])^3*k[0]^3+5*x^2*(1+F[208,x,k[0]])^2*k[0]^2-11*x*(1+F[208,x,k[0]])*(F[208,x,k[0]]+8/11)*k[0]+10*F[208,x,k[0]]+1)*k[0]
F[209,x] = F[134,x]*F[210,x]
F[210,x] = F[211,x]+F[213,x]
F[211,x] = F[198,x]*F[212,x]
F[212,x] = F[1,x]+F[12,x]
F[213,x] = F[214,x]
F[214,x] = F[12,x]*F[196,x]*F[198,x]
F[215,x] = F[134,x]*F[198,x]
F[216,x,k[0]] = F[121,x,k[0]]*F[56,x,k[0]]
F[217,x,k[0]] = F[218,x,k[0]]
F[218,x,k[0]] = F[219,x,k[0]]*F[28,x,k[0]]
F[219,x,k[0]] = F[220,x,k[0]]+F[221,x,k[0]]
F[220,x,k[0]] = F[121,x,k[0]]*F[59,x,k[0]]
F[221,x,k[0]] = F[158,x,k[0]]*F[222,x,k[0]]
F[222,x,k[0]] = F[223,x,k[0]]+F[29,x,k[0]]
F[223,x,k[0]] = F[2,x]*F[25,x,k[0]]
F[224,x,k[0]] = F[122,x]*F[57,x,k[0]]
F[225,x,k[0]] = F[226,x,k[0]]
F[226,x,k[0]] = F[12,x]*F[178,x]*F[227,x,k[0]]
F[228,x,k[0]] = F[12,x]*F[227,x,k[0]]*F[82,x]
F[228,x,k[0]] = F[229,x,k[0]]
F[229,x,k[0]] = F[230,x]+F[232,x,k[0]]
F[230,x] = F[231,x]
F[231,x] = F[12,x]*F[20,x]*F[82,x]
F[232,x,k[0]] = F[233,x,k[0]]
F[234,x,k[0]] = F[233,x,k[0]]+F[235,x,k[0]]
F[95,x,k[0]] = F[234,x,k[0]]+F[7,x]
F[235,x,k[0]] = F[236,x,k[0]]+F[239,x,k[0]]
F[236,x,k[0]] = F[100,x,k[0]]+F[237,x,k[0]]
F[237,x,k[0]] = F[238,x,k[0]]
F[238,x,k[0]] = F[12,x]*F[234,x,k[0]]
F[239,x,k[0]] = F[240,x,k[0]]
F[240,x,k[0]] = F[12,x]*F[241,x,k[0]]
F[241,x,k[0]] = F[242,x,k[0]]+F[243,x,k[0]]
F[242,x,k[0]] = F[236,x,k[0]]*F[4,x]
F[243,x,k[0]] = F[244,x,k[0]]
F[244,x,k[0]] = F[152,x,k[0]]*F[93,x,k[0]]
F[245,x,k[0]] = F[129,x,k[0]]*F[21,x,k[0]]
F[246,x] = F[247,x]
F[247,x] = F[12,x]*F[248,x]*F[82,x]
F[248,x] = F[20,x]+F[41,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_{12}\! \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_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{246}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{17}\! \left(x \right)
F_{16}\! \left(x \right) = F_{4}\! \left(x \right) F_{9}\! \left(x \right)
F_{17}\! \left(x \right) = F_{178}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x , 1\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = y x
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{21}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{17}\! \left(x \right)+F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{245}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{41}\! \left(x \right)
F_{40}\! \left(x , y\right) = -\frac{-F_{21}\! \left(x , y\right) y +F_{21}\! \left(x , 1\right)}{-1+y}
F_{41}\! \left(x \right) = F_{42}\! \left(x , 1\right)
F_{43}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{25}\! \left(x , y\right)+F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = y F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x \right)+F_{54}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{53}\! \left(x \right) = 0
F_{54}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{12}\! \left(x \right)+F_{52}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{49}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = y F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{78}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{78}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = y F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = -\frac{-F_{69}\! \left(x , y\right) y +F_{69}\! \left(x , 1\right)}{-1+y}
F_{82}\! \left(x \right) = x^{4} F_{82} \left(x \right)^{3}+5 x^{3} F_{82} \left(x \right)^{2}-11 x^{2} F_{82} \left(x \right)^{2}+3 x^{2} F_{82}\! \left(x \right)+10 x F_{82}\! \left(x \right)-9 x +1
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{85}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{82}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{25}\! \left(x , y\right) F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{95}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{28}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{100}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{225}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{109}\! \left(x , y\right)+F_{224}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{217}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{2}\! \left(x \right)
F_{113}\! \left(x , y\right) = F_{112}\! \left(x , y\right)+F_{115}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{113}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{114}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{157}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right) F_{121}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{47}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x \right)+F_{146}\! \left(x , y\right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{82}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{12}\! \left(x \right) F_{125}\! \left(x \right) F_{82}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x , 1\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{82}\! \left(x \right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{26}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{135}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{134}\! \left(x \right) = F_{122}\! \left(x \right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{134}\! \left(x \right)+F_{136}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{140}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{130}\! \left(x , y\right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = x^{4} F_{139} \left(x \right)^{3}+3 x^{4} F_{139} \left(x \right)^{2}+3 x^{4} F_{139}\! \left(x \right)+5 x^{3} F_{139} \left(x \right)^{2}+x^{4}+10 x^{3} F_{139}\! \left(x \right)-11 x^{2} F_{139} \left(x \right)^{2}+5 x^{3}-19 x^{2} F_{139}\! \left(x \right)-8 x^{2}+10 x F_{139}\! \left(x \right)+x
F_{140}\! \left(x , y\right) = F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{142}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{144}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{138}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{145}\! \left(x , y\right) = -\frac{-F_{136}\! \left(x , y\right)+F_{136}\! \left(x , 1\right)}{-1+y}
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , y\right) F_{155}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{149}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{154}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{25}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = y x
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = y F_{159}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{160}\! \left(x , y\right)+F_{216}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{161}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{165}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right) F_{25}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{170}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{181}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{169}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{145}\! \left(x , y\right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{12}\! \left(x \right) F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x , 1\right)
F_{179}\! \left(x , y\right) = -\frac{-F_{180}\! \left(x , y\right) y +F_{180}\! \left(x , 1\right)}{-1+y}
F_{180}\! \left(x , y\right) = y^{4} x^{4} F_{180}\! \left(x , y\right)^{3}+5 x^{3} F_{180}\! \left(x , y\right)^{2} y^{3}-11 y^{2} x^{2} F_{180}\! \left(x , y\right)^{2}+3 x^{2} F_{180}\! \left(x , y\right) y^{2}+10 x F_{180}\! \left(x , y\right) y -9 y x +1
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{168}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{184}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{184}\! \left(x , y\right) = -\frac{-F_{185}\! \left(x , y\right)+F_{185}\! \left(x , 1\right)}{-1+y}
F_{168}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = -F_{215}\! \left(x \right)+F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{12}\! \left(x \right) F_{198}\! \left(x \right)}
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{12}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{199}\! \left(x \right)
F_{191}\! \left(x \right) = F_{134}\! \left(x \right) F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)+F_{196}\! \left(x \right)
F_{193}\! \left(x \right) = F_{1}\! \left(x \right)+F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{12}\! \left(x \right) F_{192}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{12}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{1}\! \left(x \right)+F_{196}\! \left(x \right)
F_{199}\! \left(x \right) = -F_{209}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{139}\! \left(x \right) F_{193}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{12}\! \left(x \right) F_{198}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x , 1\right)
F_{207}\! \left(x , y\right) = -\frac{-y F_{208}\! \left(x , y\right)+F_{208}\! \left(x , 1\right)}{-1+y}
F_{208}\! \left(x , y\right) = x^{4} F_{208}\! \left(x , y\right)^{3} y^{4}+3 x^{4} F_{208}\! \left(x , y\right)^{2} y^{4}+3 x^{4} F_{208}\! \left(x , y\right) y^{4}+y^{4} x^{4}+5 x^{3} F_{208}\! \left(x , y\right)^{2} y^{3}+10 x^{3} F_{208}\! \left(x , y\right) y^{3}+5 x^{3} y^{3}-11 x^{2} F_{208}\! \left(x , y\right)^{2} y^{2}-19 x^{2} F_{208}\! \left(x , y\right) y^{2}-8 y^{2} x^{2}+10 x F_{208}\! \left(x , y\right) y +y x
F_{209}\! \left(x \right) = F_{134}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{213}\! \left(x \right)
F_{211}\! \left(x \right) = F_{198}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{12}\! \left(x \right) F_{196}\! \left(x \right) F_{198}\! \left(x \right)
F_{215}\! \left(x \right) = F_{134}\! \left(x \right) F_{198}\! \left(x \right)
F_{216}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{219}\! \left(x , y\right) F_{28}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{220}\! \left(x , y\right)+F_{221}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{158}\! \left(x , y\right) F_{222}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{223}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{122}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{225}\! \left(x , y\right) = F_{226}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{178}\! \left(x \right) F_{227}\! \left(x , y\right)
F_{228}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{227}\! \left(x , y\right) F_{82}\! \left(x \right)
F_{228}\! \left(x , y\right) = F_{229}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x \right)+F_{232}\! \left(x , y\right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{82}\! \left(x \right)
F_{232}\! \left(x , y\right) = F_{233}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{233}\! \left(x , y\right)+F_{235}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{234}\! \left(x , y\right)+F_{7}\! \left(x \right)
F_{235}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{239}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{237}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right)
F_{238}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{234}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = F_{240}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{241}\! \left(x , y\right)
F_{241}\! \left(x , y\right) = F_{242}\! \left(x , y\right)+F_{243}\! \left(x , y\right)
F_{242}\! \left(x , y\right) = F_{236}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{243}\! \left(x , y\right) = F_{244}\! \left(x , y\right)
F_{244}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{93}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{21}\! \left(x , y\right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{12}\! \left(x \right) F_{248}\! \left(x \right) F_{82}\! \left(x \right)
F_{248}\! \left(x \right) = F_{20}\! \left(x \right)+F_{41}\! \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_12(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_12(x)*F_7(x))
Eq(F_7(x), F_246(x) + F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_7(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_12(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_17(x))
Eq(F_16(x), F_4(x)*F_9(x))
Eq(F_17(x), F_178(x)*F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_12(x)*F_20(x))
Eq(F_20(x), F_21(x, 1))
Eq(F_21(x, k_0), F_22(x, k_0) + F_35(x, k_0))
Eq(F_22(x, k_0), F_23(x, k_0) + F_31(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0) + F_29(x, k_0))
Eq(F_24(x, k_0), F_0(x)*F_25(x, k_0))
Eq(F_25(x, k_0), F_1(x) + F_26(x, k_0))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_25(x, k_0)*F_28(x, k_0))
Eq(F_28(x, k_0), k_0*x)
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_12(x)*F_21(x, k_0)*F_25(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_12(x)*F_33(x, k_0))
Eq(F_33(x, k_0), F_17(x) + F_34(x, k_0))
Eq(F_34(x, k_0), F_23(x, k_0)*F_4(x))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x)*F_37(x, k_0))
Eq(F_37(x, k_0), F_245(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0)*F_82(x))
Eq(F_39(x, k_0), F_40(x, k_0) + F_41(x))
Eq(F_40(x, k_0), (-k_0*F_21(x, k_0) + F_21(x, 1))/(1 - k_0))
Eq(F_41(x), F_42(x, 1))
Eq(F_43(x, k_0), F_21(x, k_0) + F_42(x, k_0))
Eq(F_44(x, k_0), F_28(x, k_0)*F_43(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0) + F_73(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0) + F_57(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0))
Eq(F_48(x, k_0), F_28(x, k_0)*F_49(x, k_0))
Eq(F_49(x, k_0), F_25(x, k_0) + F_50(x, k_0))
Eq(F_50(x, k_0), F_28(x, k_0) + F_51(x, k_0))
Eq(F_51(x, k_0), k_0*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x) + F_54(x, k_0) + F_55(x, k_0))
Eq(F_53(x), 0)
Eq(F_54(x, k_0), F_12(x)*F_26(x, k_0))
Eq(F_55(x, k_0), F_28(x, k_0)*F_56(x, k_0))
Eq(F_56(x, k_0), F_12(x) + F_52(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_28(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0) + F_61(x, k_0))
Eq(F_60(x, k_0), F_2(x)*F_49(x, k_0))
Eq(F_61(x, k_0), F_29(x, k_0) + F_62(x, k_0))
Eq(F_62(x, k_0), k_0*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_12(x)*F_65(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0) + F_67(x, k_0))
Eq(F_66(x, k_0), F_21(x, k_0)*F_56(x, k_0))
Eq(F_67(x, k_0), F_68(x, k_0))
Eq(F_68(x, k_0), F_25(x, k_0)*F_69(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_12(x)*F_71(x, k_0))
Eq(F_72(x, k_0), F_28(x, k_0)*F_71(x, k_0))
Eq(F_72(x, k_0), F_42(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_12(x)*F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0) + F_83(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_28(x, k_0)*F_78(x, k_0)*F_82(x))
Eq(F_78(x, k_0), F_39(x, k_0) + F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), k_0*F_81(x, k_0))
Eq(F_81(x, k_0), (-k_0*F_69(x, k_0) + F_69(x, 1))/(1 - k_0))
Eq(F_82(x), x**4*F_82(x)**3 + x**2*(5*x - 11)*F_82(x)**2 - 9*x + (3*x**2 + 10*x)*F_82(x) + 1)
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_28(x, k_0)*F_85(x, k_0))
Eq(F_86(x, k_0), F_12(x)*F_85(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0))
Eq(F_87(x, k_0), F_104(x, k_0) + F_88(x, k_0))
Eq(F_88(x, k_0), F_82(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_103(x, k_0) + F_90(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_12(x)*F_25(x, k_0)*F_92(x, k_0))
Eq(F_92(x, k_0), F_4(x) + F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_28(x, k_0)*F_95(x, k_0))
Eq(F_96(x, k_0), F_12(x)*F_95(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_98(x, k_0), F_102(x, k_0) + F_97(x, k_0))
Eq(F_99(x, k_0), F_28(x, k_0)*F_98(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_23(x, k_0)*F_28(x, k_0))
Eq(F_102(x, k_0), F_0(x) + F_100(x, k_0))
Eq(F_103(x, k_0), F_57(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0))
Eq(F_105(x, k_0), F_106(x, k_0)*F_12(x))
Eq(F_106(x, k_0), F_107(x, k_0) + F_225(x, k_0))
Eq(F_108(x, k_0), F_107(x, k_0)*F_28(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0))
Eq(F_110(x, k_0), F_109(x, k_0) + F_224(x, k_0))
Eq(F_110(x, k_0), F_111(x, k_0) + F_217(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0)*F_2(x))
Eq(F_113(x, k_0), F_112(x, k_0) + F_115(x, k_0))
Eq(F_114(x, k_0), F_113(x, k_0)*F_12(x))
Eq(F_114(x, k_0), F_57(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0)*F_28(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_157(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0)*F_121(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0) + F_26(x, k_0))
Eq(F_120(x, k_0), F_1(x) + F_47(x, k_0))
Eq(F_121(x, k_0), F_122(x) + F_146(x, k_0))
Eq(F_122(x), F_123(x) + F_82(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_12(x)*F_125(x)*F_82(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x, 1))
Eq(F_127(x, k_0), F_128(x, k_0) + F_137(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0) + F_82(x))
Eq(F_129(x, k_0), F_130(x, k_0) + F_26(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0))
Eq(F_131(x, k_0), F_12(x)*F_132(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0) + F_135(x, k_0))
Eq(F_133(x, k_0), F_134(x)*F_26(x, k_0))
Eq(F_134(x), F_122(x))
Eq(F_135(x, k_0), F_136(x, k_0)*F_25(x, k_0))
Eq(F_127(x, k_0), F_134(x) + F_136(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0) + F_140(x, k_0))
Eq(F_138(x, k_0), F_130(x, k_0) + F_139(x))
Eq(F_139(x), x**4*(F_139(x) + 1)**3 + x**2*(5*x - 11)*(F_139(x) + 1)**2 - 9*x + (F_139(x) + 1)*(3*x**2 + 10*x - 1) + F_139(x) + 1)
Eq(F_140(x, k_0), F_141(x, k_0))
Eq(F_141(x, k_0), F_12(x)*F_142(x, k_0))
Eq(F_142(x, k_0), F_143(x, k_0) + F_144(x, k_0))
Eq(F_143(x, k_0), F_127(x, k_0)*F_138(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0)*F_82(x))
Eq(F_145(x, k_0), -F_136(x, k_0) + (-k_0*F_136(x, k_0) + F_136(x, 1))/(1 - k_0))
Eq(F_146(x, k_0), F_147(x, k_0))
Eq(F_147(x, k_0), F_148(x, k_0)*F_155(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_150(x, k_0), F_12(x)*F_149(x, k_0)*F_25(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0))
Eq(F_152(x, k_0), F_151(x, k_0) + F_154(x, k_0))
Eq(F_153(x, k_0), F_152(x, k_0)*F_28(x, k_0))
Eq(F_153(x, k_0), F_129(x, k_0))
Eq(F_154(x, k_0), F_25(x, k_0)*F_82(x))
Eq(F_155(x, k_0), F_156(x, k_0))
Eq(F_156(x, k_0), k_0*x)
Eq(F_157(x, k_0), F_158(x, k_0)*F_25(x, k_0))
Eq(F_158(x, k_0), k_0*F_159(x, k_0))
Eq(F_160(x, k_0), F_159(x, k_0)*F_25(x, k_0))
Eq(F_161(x, k_0), F_160(x, k_0) + F_216(x, k_0))
Eq(F_162(x, k_0), F_12(x)*F_161(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_12(x)*F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0) + F_167(x, k_0))
Eq(F_166(x, k_0), F_127(x, k_0)*F_56(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0)*F_25(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0) + F_170(x, k_0))
Eq(F_169(x, k_0), F_163(x, k_0) + F_56(x, k_0))
Eq(F_170(x, k_0), F_171(x, k_0))
Eq(F_171(x, k_0), F_12(x)*F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0) + F_181(x, k_0))
Eq(F_173(x, k_0), F_174(x, k_0) + F_175(x, k_0))
Eq(F_174(x, k_0), F_127(x, k_0)*F_169(x, k_0))
Eq(F_175(x, k_0), F_145(x, k_0)*F_176(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_12(x)*F_178(x))
Eq(F_178(x), F_179(x, 1))
Eq(F_179(x, k_0), (-k_0*F_180(x, k_0) + F_180(x, 1))/(1 - k_0))
Eq(F_180(x, k_0), k_0**4*x**4*F_180(x, k_0)**3 + k_0**2*x**2*(5*k_0*x - 11)*F_180(x, k_0)**2 - 9*k_0*x + (3*k_0**2*x**2 + 10*k_0*x)*F_180(x, k_0) + 1)
Eq(F_181(x, k_0), F_182(x, k_0) + F_183(x, k_0))
Eq(F_182(x, k_0), F_128(x, k_0)*F_168(x, k_0))
Eq(F_183(x, k_0), F_184(x, k_0)*F_82(x))
Eq(F_184(x, k_0), -F_185(x, k_0) + (-k_0*F_185(x, k_0) + F_185(x, 1))/(1 - k_0))
Eq(F_168(x, k_0), F_185(x, k_0) + F_186(x))
Eq(F_186(x), F_187(x) - F_215(x))
Eq(F_187(x), F_188(x)/(F_12(x)*F_198(x)))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_12(x)*F_190(x))
Eq(F_190(x), F_191(x) + F_199(x))
Eq(F_191(x), F_134(x)*F_192(x))
Eq(F_192(x), F_193(x) + F_196(x))
Eq(F_193(x), F_1(x) + F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_12(x)*F_192(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_12(x)*F_198(x))
Eq(F_198(x), F_1(x) + F_196(x))
Eq(F_199(x), F_200(x) - F_209(x))
Eq(F_200(x), F_201(x)/F_12(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_139(x)*F_193(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_12(x)*F_198(x)*F_206(x))
Eq(F_206(x), F_207(x, 1))
Eq(F_207(x, k_0), (-k_0*F_208(x, k_0) + F_208(x, 1))/(1 - k_0))
Eq(F_208(x, k_0), k_0**4*x**4*(F_208(x, k_0) + 1)**3 + k_0**2*x**2*(5*k_0*x - 11)*(F_208(x, k_0) + 1)**2 - 9*k_0*x + (F_208(x, k_0) + 1)*(3*k_0**2*x**2 + 10*k_0*x - 1) + F_208(x, k_0) + 1)
Eq(F_209(x), F_134(x)*F_210(x))
Eq(F_210(x), F_211(x) + F_213(x))
Eq(F_211(x), F_198(x)*F_212(x))
Eq(F_212(x), F_1(x) + F_12(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_12(x)*F_196(x)*F_198(x))
Eq(F_215(x), F_134(x)*F_198(x))
Eq(F_216(x, k_0), F_121(x, k_0)*F_56(x, k_0))
Eq(F_217(x, k_0), F_218(x, k_0))
Eq(F_218(x, k_0), F_219(x, k_0)*F_28(x, k_0))
Eq(F_219(x, k_0), F_220(x, k_0) + F_221(x, k_0))
Eq(F_220(x, k_0), F_121(x, k_0)*F_59(x, k_0))
Eq(F_221(x, k_0), F_158(x, k_0)*F_222(x, k_0))
Eq(F_222(x, k_0), F_223(x, k_0) + F_29(x, k_0))
Eq(F_223(x, k_0), F_2(x)*F_25(x, k_0))
Eq(F_224(x, k_0), F_122(x)*F_57(x, k_0))
Eq(F_225(x, k_0), F_226(x, k_0))
Eq(F_226(x, k_0), F_12(x)*F_178(x)*F_227(x, k_0))
Eq(F_228(x, k_0), F_12(x)*F_227(x, k_0)*F_82(x))
Eq(F_228(x, k_0), F_229(x, k_0))
Eq(F_229(x, k_0), F_230(x) + F_232(x, k_0))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_12(x)*F_20(x)*F_82(x))
Eq(F_232(x, k_0), F_233(x, k_0))
Eq(F_234(x, k_0), F_233(x, k_0) + F_235(x, k_0))
Eq(F_95(x, k_0), F_234(x, k_0) + F_7(x))
Eq(F_235(x, k_0), F_236(x, k_0) + F_239(x, k_0))
Eq(F_236(x, k_0), F_100(x, k_0) + F_237(x, k_0))
Eq(F_237(x, k_0), F_238(x, k_0))
Eq(F_238(x, k_0), F_12(x)*F_234(x, k_0))
Eq(F_239(x, k_0), F_240(x, k_0))
Eq(F_240(x, k_0), F_12(x)*F_241(x, k_0))
Eq(F_241(x, k_0), F_242(x, k_0) + F_243(x, k_0))
Eq(F_242(x, k_0), F_236(x, k_0)*F_4(x))
Eq(F_243(x, k_0), F_244(x, k_0))
Eq(F_244(x, k_0), F_152(x, k_0)*F_93(x, k_0))
Eq(F_245(x, k_0), F_129(x, k_0)*F_21(x, k_0))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_12(x)*F_248(x)*F_82(x))
Eq(F_248(x), F_20(x) + F_41(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]]}], "iterative": false}
Specification JSON:
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"strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3], [2, 1, 0, 4, 3], [2, 1, 4, 0, 3], [2, 4, 0, 1, 3], [2, 4, 1, 0, 3]], "symmetry": true}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "SkewComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 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0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}]}
Specification 3
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25637/
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[26,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[26,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[26,x]
F[12,x] = F[13,x]+F[241,x]
F[13,x] = F[14,x]*F[86,x]
F[14,x] = F[15,x]+F[43,x]
F[15,x] = F[16,x,1]
F[16,x,k[0]] = F[17,x,k[0]]+F[37,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]+F[27,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]+F[24,x,k[0]]
F[19,x,k[0]] = F[0,x]*F[20,x,k[0]]
F[20,x,k[0]] = F[1,x]+F[21,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[20,x,k[0]]*F[23,x,k[0]]
F[23,x,k[0]] = k[0]*x
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[16,x,k[0]]*F[20,x,k[0]]*F[26,x]
F[26,x] = x
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[26,x]*F[29,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[31,x]
F[30,x,k[0]] = F[18,x,k[0]]*F[4,x]
F[31,x] = F[32,x]*F[34,x]
F[32,x] = F[33,x]
F[33,x] = F[15,x]*F[26,x]
F[34,x] = F[35,x,1]
F[35,x,k[0]] = (F[36,x,k[0]]*k[0]-F[36,x,1])/(-1+k[0])
F[36,x,k[0]] = (x*F[36,x,k[0]]*k[0]-1)*(-1+x^3*F[36,x,k[0]]^2*k[0]^3+6*x^2*F[36,x,k[0]]*k[0]^2+(-11*F[36,x,k[0]]+9)*x*k[0])
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[26,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[240,x,k[0]]+F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]*F[86,x]
F[41,x,k[0]] = F[42,x,k[0]]+F[43,x]
F[42,x,k[0]] = (F[16,x,k[0]]*k[0]-F[16,x,1])/(-1+k[0])
F[43,x] = F[44,x,1]
F[45,x,k[0]] = F[16,x,k[0]]+F[44,x,k[0]]
F[46,x,k[0]] = F[23,x,k[0]]*F[45,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,k[0]]+F[77,x,k[0]]
F[48,x,k[0]] = F[49,x,k[0]]+F[57,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[23,x,k[0]]*F[51,x,k[0]]
F[51,x,k[0]] = F[20,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[23,x,k[0]]+F[53,x,k[0]]
F[53,x,k[0]] = F[54,x]+F[55,x,k[0]]+F[56,x,k[0]]
F[54,x] = 0
F[55,x,k[0]] = F[21,x,k[0]]*F[23,x,k[0]]
F[56,x,k[0]] = F[23,x,k[0]]*F[52,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[23,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[60,x,k[0]]+F[61,x,k[0]]
F[60,x,k[0]] = F[2,x]*F[51,x,k[0]]
F[61,x,k[0]] = F[24,x,k[0]]+F[62,x,k[0]]
F[62,x,k[0]] = k[0]*F[63,x,k[0]]
F[63,x,k[0]] = F[64,x,k[0]]
F[64,x,k[0]] = F[26,x]*F[65,x,k[0]]
F[65,x,k[0]] = F[66,x,k[0]]+F[71,x,k[0]]
F[66,x,k[0]] = F[16,x,k[0]]*F[67,x,k[0]]
F[67,x,k[0]] = F[26,x]+F[68,x,k[0]]
F[68,x,k[0]] = F[54,x]+F[69,x,k[0]]+F[70,x,k[0]]
F[69,x,k[0]] = F[21,x,k[0]]*F[26,x]
F[70,x,k[0]] = F[23,x,k[0]]*F[67,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[20,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]
F[74,x,k[0]] = F[26,x]*F[75,x,k[0]]
F[76,x,k[0]] = F[23,x,k[0]]*F[75,x,k[0]]
F[76,x,k[0]] = F[44,x,k[0]]
F[77,x,k[0]] = F[78,x,k[0]]
F[78,x,k[0]] = F[26,x]*F[79,x,k[0]]
F[79,x,k[0]] = F[80,x,k[0]]+F[87,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]
F[81,x,k[0]] = F[23,x,k[0]]*F[82,x,k[0]]*F[86,x]
F[82,x,k[0]] = F[41,x,k[0]]+F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = k[0]*F[85,x,k[0]]
F[85,x,k[0]] = (F[73,x,k[0]]*k[0]-F[73,x,1])/(-1+k[0])
F[86,x] = (x*F[86,x]-1)*(-1+x^3*F[86,x]^2+6*x^2*F[86,x]+(-11*F[86,x]+9)*x)
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[23,x,k[0]]*F[89,x,k[0]]
F[90,x,k[0]] = F[26,x]*F[89,x,k[0]]
F[90,x,k[0]] = F[91,x,k[0]]
F[91,x,k[0]] = F[108,x,k[0]]+F[92,x,k[0]]
F[92,x,k[0]] = F[86,x]*F[93,x,k[0]]
F[93,x,k[0]] = F[107,x,k[0]]+F[94,x,k[0]]
F[94,x,k[0]] = F[95,x,k[0]]
F[95,x,k[0]] = F[20,x,k[0]]*F[26,x]*F[96,x,k[0]]
F[96,x,k[0]] = F[4,x]+F[97,x,k[0]]
F[97,x,k[0]] = F[98,x,k[0]]
F[98,x,k[0]] = F[23,x,k[0]]*F[99,x,k[0]]
F[100,x,k[0]] = F[26,x]*F[99,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[102,x,k[0]] = F[101,x,k[0]]+F[106,x,k[0]]
F[103,x,k[0]] = F[102,x,k[0]]*F[23,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]
F[105,x,k[0]] = F[18,x,k[0]]*F[23,x,k[0]]
F[106,x,k[0]] = F[0,x]+F[104,x,k[0]]
F[107,x,k[0]] = F[57,x,k[0]]
F[108,x,k[0]] = F[109,x,k[0]]
F[109,x,k[0]] = F[110,x,k[0]]*F[26,x]
F[110,x,k[0]] = F[111,x,k[0]]+F[223,x,k[0]]
F[112,x,k[0]] = F[111,x,k[0]]*F[23,x,k[0]]
F[112,x,k[0]] = F[113,x,k[0]]
F[114,x,k[0]] = F[113,x,k[0]]+F[222,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]+F[215,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]*F[2,x]
F[117,x,k[0]] = F[116,x,k[0]]+F[119,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]*F[26,x]
F[118,x,k[0]] = F[57,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]*F[23,x,k[0]]
F[121,x,k[0]] = F[122,x,k[0]]+F[158,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]*F[125,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]+F[21,x,k[0]]
F[124,x,k[0]] = F[1,x]+F[49,x,k[0]]
F[125,x,k[0]] = F[126,x]+F[150,x,k[0]]
F[126,x] = F[127,x]+F[86,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[26,x]*F[86,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x,1]
F[131,x,k[0]] = F[132,x,k[0]]+F[141,x,k[0]]
F[132,x,k[0]] = F[133,x,k[0]]+F[86,x]
F[133,x,k[0]] = F[134,x,k[0]]+F[21,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]
F[135,x,k[0]] = F[136,x,k[0]]*F[26,x]
F[136,x,k[0]] = F[137,x,k[0]]+F[139,x,k[0]]
F[137,x,k[0]] = F[138,x]*F[21,x,k[0]]
F[138,x] = F[126,x]
F[139,x,k[0]] = F[140,x,k[0]]*F[20,x,k[0]]
F[131,x,k[0]] = F[138,x]+F[140,x,k[0]]
F[141,x,k[0]] = F[142,x,k[0]]+F[144,x,k[0]]
F[142,x,k[0]] = F[134,x,k[0]]+F[143,x]
F[143,x] = ((1+F[143,x])^3*x^3+5*(1+F[143,x])^2*x^2+(-11*F[143,x]^2-19*F[143,x]-8)*x+10*F[143,x]+1)*x
F[144,x,k[0]] = F[145,x,k[0]]
F[145,x,k[0]] = F[146,x,k[0]]*F[26,x]
F[146,x,k[0]] = F[147,x,k[0]]+F[148,x,k[0]]
F[147,x,k[0]] = F[131,x,k[0]]*F[142,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]*F[86,x]
F[149,x,k[0]] = (F[140,x,k[0]]-F[140,x,1])/(-1+k[0])
F[150,x,k[0]] = F[151,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]*F[23,x,k[0]]
F[153,x,k[0]] = F[152,x,k[0]]*F[20,x,k[0]]*F[26,x]
F[153,x,k[0]] = F[154,x,k[0]]
F[155,x,k[0]] = F[154,x,k[0]]+F[157,x,k[0]]
F[156,x,k[0]] = F[155,x,k[0]]*F[23,x,k[0]]
F[156,x,k[0]] = F[133,x,k[0]]
F[157,x,k[0]] = F[20,x,k[0]]*F[86,x]
F[158,x,k[0]] = F[159,x,k[0]]*F[20,x,k[0]]
F[159,x,k[0]] = k[0]*F[160,x,k[0]]
F[161,x,k[0]] = F[160,x,k[0]]*F[20,x,k[0]]
F[162,x,k[0]] = F[161,x,k[0]]+F[214,x,k[0]]
F[163,x,k[0]] = F[162,x,k[0]]*F[26,x]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]*F[26,x]
F[166,x,k[0]] = F[167,x,k[0]]+F[168,x,k[0]]
F[167,x,k[0]] = F[131,x,k[0]]*F[67,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]*F[20,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]+F[171,x,k[0]]
F[170,x,k[0]] = F[164,x,k[0]]+F[67,x,k[0]]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]*F[26,x]
F[173,x,k[0]] = F[174,x,k[0]]+F[179,x,k[0]]
F[174,x,k[0]] = F[175,x,k[0]]+F[176,x,k[0]]
F[175,x,k[0]] = F[131,x,k[0]]*F[170,x,k[0]]
F[176,x,k[0]] = F[149,x,k[0]]*F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[26,x]*F[34,x]
F[179,x,k[0]] = F[180,x,k[0]]+F[181,x,k[0]]
F[180,x,k[0]] = F[132,x,k[0]]*F[169,x,k[0]]
F[181,x,k[0]] = F[182,x,k[0]]*F[86,x]
F[182,x,k[0]] = (F[183,x,k[0]]-F[183,x,1])/(-1+k[0])
F[169,x,k[0]] = F[183,x,k[0]]+F[184,x]
F[184,x] = -F[213,x]+F[185,x]
F[185,x] = 1/F[196,x]/F[26,x]*F[186,x]
F[186,x] = F[187,x]
F[187,x] = F[188,x]*F[26,x]
F[188,x] = F[189,x]+F[197,x]
F[189,x] = F[138,x]*F[190,x]
F[190,x] = F[191,x]+F[194,x]
F[191,x] = F[1,x]+F[192,x]
F[192,x] = F[193,x]
F[193,x] = F[190,x]*F[26,x]
F[194,x] = F[195,x]
F[195,x] = F[196,x]*F[26,x]
F[196,x] = F[1,x]+F[194,x]
F[197,x] = -F[207,x]+F[198,x]
F[198,x] = 1/F[26,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = F[201,x]+F[202,x]
F[201,x] = F[143,x]*F[191,x]
F[202,x] = F[203,x]
F[203,x] = F[196,x]*F[204,x]*F[26,x]
F[204,x] = F[205,x,1]
F[205,x,k[0]] = (F[206,x,k[0]]*k[0]-F[206,x,1])/(-1+k[0])
F[206,x,k[0]] = k[0]*(x^3*(1+F[206,x,k[0]])^3*k[0]^3+5*x^2*(1+F[206,x,k[0]])^2*k[0]^2-11*(1+F[206,x,k[0]])*(F[206,x,k[0]]+8/11)*x*k[0]+10*F[206,x,k[0]]+1)*x
F[207,x] = F[138,x]*F[208,x]
F[208,x] = F[209,x]+F[211,x]
F[209,x] = F[196,x]*F[210,x]
F[210,x] = F[1,x]+F[26,x]
F[211,x] = F[212,x]
F[212,x] = F[194,x]*F[196,x]*F[26,x]
F[213,x] = F[138,x]*F[196,x]
F[214,x,k[0]] = F[125,x,k[0]]*F[67,x,k[0]]
F[215,x,k[0]] = F[216,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]*F[23,x,k[0]]
F[217,x,k[0]] = F[218,x,k[0]]+F[219,x,k[0]]
F[218,x,k[0]] = F[125,x,k[0]]*F[59,x,k[0]]
F[219,x,k[0]] = F[159,x,k[0]]*F[220,x,k[0]]
F[220,x,k[0]] = F[221,x,k[0]]+F[24,x,k[0]]
F[221,x,k[0]] = F[2,x]*F[20,x,k[0]]
F[222,x,k[0]] = F[126,x]*F[57,x,k[0]]
F[223,x,k[0]] = F[224,x,k[0]]
F[224,x,k[0]] = F[225,x,k[0]]*F[26,x]*F[34,x]
F[225,x,k[0]] = F[226,x,k[0]]
F[226,x,k[0]] = F[15,x]+F[227,x,k[0]]
F[227,x,k[0]] = F[228,x,k[0]]
F[229,x,k[0]] = F[14,x]+F[228,x,k[0]]
F[230,x,k[0]] = F[229,x,k[0]]*F[26,x]*F[86,x]
F[230,x,k[0]] = F[231,x,k[0]]
F[99,x,k[0]] = F[231,x,k[0]]+F[232,x,k[0]]
F[232,x,k[0]] = F[102,x,k[0]]+F[233,x,k[0]]
F[233,x,k[0]] = F[234,x,k[0]]
F[234,x,k[0]] = F[235,x,k[0]]*F[26,x]
F[235,x,k[0]] = F[236,x,k[0]]+F[238,x,k[0]]
F[236,x,k[0]] = F[237,x,k[0]]+F[31,x]
F[237,x,k[0]] = F[102,x,k[0]]*F[4,x]
F[238,x,k[0]] = F[239,x,k[0]]
F[239,x,k[0]] = F[155,x,k[0]]*F[97,x,k[0]]
F[240,x,k[0]] = F[133,x,k[0]]*F[16,x,k[0]]
F[241,x] = F[15,x]*F[177,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_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{26}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{26}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{241}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{86}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{43}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x , 1\right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{21}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = y x
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{20}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = x
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{31}\! \left(x \right)
F_{30}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right) F_{34}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x , 1\right)
F_{35}\! \left(x , y\right) = -\frac{-F_{36}\! \left(x , y\right) y +F_{36}\! \left(x , 1\right)}{-1+y}
F_{36}\! \left(x , y\right) = y^{4} x^{4} F_{36}\! \left(x , y\right)^{3}+5 x^{3} F_{36}\! \left(x , y\right)^{2} y^{3}-11 y^{2} x^{2} F_{36}\! \left(x , y\right)^{2}+3 x^{2} F_{36}\! \left(x , y\right) y^{2}+10 x F_{36}\! \left(x , y\right) y -9 y x +1
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{240}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right) F_{86}\! \left(x \right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)+F_{43}\! \left(x \right)
F_{42}\! \left(x , y\right) = -\frac{-F_{16}\! \left(x , y\right) y +F_{16}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x \right) = F_{44}\! \left(x , 1\right)
F_{45}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{45}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{77}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{20}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{23}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{54}\! \left(x \right)+F_{55}\! \left(x , y\right)+F_{56}\! \left(x , y\right)
F_{54}\! \left(x \right) = 0
F_{55}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{52}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{60}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{51}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{24}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = y F_{63}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{64}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{66}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{54}\! \left(x \right)+F_{69}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{21}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{70}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{75}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{44}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{79}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{80}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{82}\! \left(x , y\right) F_{86}\! \left(x \right)
F_{82}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = y F_{85}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = -\frac{-F_{73}\! \left(x , y\right) y +F_{73}\! \left(x , 1\right)}{-1+y}
F_{86}\! \left(x \right) = x^{4} F_{86} \left(x \right)^{3}+5 x^{3} F_{86} \left(x \right)^{2}-11 x^{2} F_{86} \left(x \right)^{2}+3 x^{2} F_{86}\! \left(x \right)+10 x F_{86}\! \left(x \right)-9 x +1
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{89}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{86}\! \left(x \right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{107}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{26}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{23}\! \left(x , y\right) F_{99}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{26}\! \left(x \right) F_{99}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{106}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)
F_{105}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{104}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{109}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{110}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{223}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{111}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{222}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{215}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right) F_{2}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{119}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{118}\! \left(x , y\right) = F_{57}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right) F_{125}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{49}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x \right)+F_{150}\! \left(x , y\right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{86}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{26}\! \left(x \right) F_{86}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x , 1\right)
F_{131}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{141}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{86}\! \left(x \right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{21}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)+F_{139}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x \right) F_{21}\! \left(x , y\right)
F_{138}\! \left(x \right) = F_{126}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{138}\! \left(x \right)+F_{140}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{142}\! \left(x , y\right)+F_{144}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{134}\! \left(x , y\right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = x^{4} F_{143} \left(x \right)^{3}+3 x^{4} F_{143} \left(x \right)^{2}+3 x^{4} F_{143}\! \left(x \right)+5 x^{3} F_{143} \left(x \right)^{2}+x^{4}+10 x^{3} F_{143}\! \left(x \right)-11 x^{2} F_{143} \left(x \right)^{2}+5 x^{3}-19 x^{2} F_{143}\! \left(x \right)-8 x^{2}+10 x F_{143}\! \left(x \right)+x
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{146}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right)+F_{148}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{142}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right) F_{86}\! \left(x \right)
F_{149}\! \left(x , y\right) = -\frac{-F_{140}\! \left(x , y\right)+F_{140}\! \left(x , 1\right)}{-1+y}
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{152}\! \left(x , y\right) F_{20}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{154}\! \left(x , y\right)+F_{157}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{155}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{133}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{86}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = y F_{160}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{214}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{162}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{168}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)+F_{171}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{164}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{179}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)+F_{176}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{170}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{149}\! \left(x , y\right) F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{26}\! \left(x \right) F_{34}\! \left(x \right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , y\right)+F_{181}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{132}\! \left(x , y\right) F_{169}\! \left(x , y\right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right) F_{86}\! \left(x \right)
F_{182}\! \left(x , y\right) = -\frac{-F_{183}\! \left(x , y\right)+F_{183}\! \left(x , 1\right)}{-1+y}
F_{169}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = \frac{F_{186}\! \left(x \right)}{F_{196}\! \left(x \right) F_{26}\! \left(x \right)}
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right) F_{26}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{197}\! \left(x \right)
F_{189}\! \left(x \right) = F_{138}\! \left(x \right) F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{194}\! \left(x \right)
F_{191}\! \left(x \right) = F_{1}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{193}\! \left(x \right)
F_{193}\! \left(x \right) = F_{190}\! \left(x \right) F_{26}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{26}\! \left(x \right)
F_{196}\! \left(x \right) = F_{1}\! \left(x \right)+F_{194}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{26}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)+F_{202}\! \left(x \right)
F_{201}\! \left(x \right) = F_{143}\! \left(x \right) F_{191}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)
F_{203}\! \left(x \right) = F_{196}\! \left(x \right) F_{204}\! \left(x \right) F_{26}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x , 1\right)
F_{205}\! \left(x , y\right) = -\frac{-y F_{206}\! \left(x , y\right)+F_{206}\! \left(x , 1\right)}{-1+y}
F_{206}\! \left(x , y\right) = x^{4} F_{206}\! \left(x , y\right)^{3} y^{4}+3 x^{4} F_{206}\! \left(x , y\right)^{2} y^{4}+3 x^{4} F_{206}\! \left(x , y\right) y^{4}+x^{4} y^{4}+5 x^{3} F_{206}\! \left(x , y\right)^{2} y^{3}+10 x^{3} F_{206}\! \left(x , y\right) y^{3}+5 x^{3} y^{3}-11 x^{2} F_{206}\! \left(x , y\right)^{2} y^{2}-19 x^{2} F_{206}\! \left(x , y\right) y^{2}-8 y^{2} x^{2}+10 x F_{206}\! \left(x , y\right) y +y x
F_{207}\! \left(x \right) = F_{138}\! \left(x \right) F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{211}\! \left(x \right)
F_{209}\! \left(x \right) = F_{196}\! \left(x \right) F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{194}\! \left(x \right) F_{196}\! \left(x \right) F_{26}\! \left(x \right)
F_{213}\! \left(x \right) = F_{138}\! \left(x \right) F_{196}\! \left(x \right)
F_{214}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{67}\! \left(x , y\right)
F_{215}\! \left(x , y\right) = F_{216}\! \left(x , y\right)
F_{216}\! \left(x , y\right) = F_{217}\! \left(x , y\right) F_{23}\! \left(x , y\right)
F_{217}\! \left(x , y\right) = F_{218}\! \left(x , y\right)+F_{219}\! \left(x , y\right)
F_{218}\! \left(x , y\right) = F_{125}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{219}\! \left(x , y\right) = F_{159}\! \left(x , y\right) F_{220}\! \left(x , y\right)
F_{220}\! \left(x , y\right) = F_{221}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{221}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{20}\! \left(x , y\right)
F_{222}\! \left(x , y\right) = F_{126}\! \left(x \right) F_{57}\! \left(x , y\right)
F_{223}\! \left(x , y\right) = F_{224}\! \left(x , y\right)
F_{224}\! \left(x , y\right) = F_{225}\! \left(x , y\right) F_{26}\! \left(x \right) F_{34}\! \left(x \right)
F_{225}\! \left(x , y\right) = F_{226}\! \left(x , y\right)
F_{226}\! \left(x , y\right) = F_{15}\! \left(x \right)+F_{227}\! \left(x , y\right)
F_{227}\! \left(x , y\right) = F_{228}\! \left(x , y\right)
F_{229}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{228}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{229}\! \left(x , y\right) F_{26}\! \left(x \right) F_{86}\! \left(x \right)
F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{231}\! \left(x , y\right)+F_{232}\! \left(x , y\right)
F_{232}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{233}\! \left(x , y\right)
F_{233}\! \left(x , y\right) = F_{234}\! \left(x , y\right)
F_{234}\! \left(x , y\right) = F_{235}\! \left(x , y\right) F_{26}\! \left(x \right)
F_{235}\! \left(x , y\right) = F_{236}\! \left(x , y\right)+F_{238}\! \left(x , y\right)
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right)+F_{31}\! \left(x \right)
F_{237}\! \left(x , y\right) = F_{102}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{238}\! \left(x , y\right) = F_{239}\! \left(x , y\right)
F_{239}\! \left(x , y\right) = F_{155}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{240}\! \left(x , y\right) = F_{133}\! \left(x , y\right) F_{16}\! \left(x , y\right)
F_{241}\! \left(x \right) = F_{15}\! \left(x \right) F_{177}\! \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_26(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_26(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_26(x))
Eq(F_12(x), F_13(x) + F_241(x))
Eq(F_13(x), F_14(x)*F_86(x))
Eq(F_14(x), F_15(x) + F_43(x))
Eq(F_15(x), F_16(x, 1))
Eq(F_16(x, k_0), F_17(x, k_0) + F_37(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0) + F_27(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0) + F_24(x, k_0))
Eq(F_19(x, k_0), F_0(x)*F_20(x, k_0))
Eq(F_20(x, k_0), F_1(x) + F_21(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_20(x, k_0)*F_23(x, k_0))
Eq(F_23(x, k_0), k_0*x)
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_16(x, k_0)*F_20(x, k_0)*F_26(x))
Eq(F_26(x), x)
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_26(x)*F_29(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_31(x))
Eq(F_30(x, k_0), F_18(x, k_0)*F_4(x))
Eq(F_31(x), F_32(x)*F_34(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_15(x)*F_26(x))
Eq(F_34(x), F_35(x, 1))
Eq(F_35(x, k_0), (-k_0*F_36(x, k_0) + F_36(x, 1))/(1 - k_0))
Eq(F_36(x, k_0), k_0**4*x**4*F_36(x, k_0)**3 + k_0**2*x**2*(5*k_0*x - 11)*F_36(x, k_0)**2 - 9*k_0*x + (3*k_0**2*x**2 + 10*k_0*x)*F_36(x, k_0) + 1)
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_26(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_240(x, k_0) + F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0)*F_86(x))
Eq(F_41(x, k_0), F_42(x, k_0) + F_43(x))
Eq(F_42(x, k_0), (-k_0*F_16(x, k_0) + F_16(x, 1))/(1 - k_0))
Eq(F_43(x), F_44(x, 1))
Eq(F_45(x, k_0), F_16(x, k_0) + F_44(x, k_0))
Eq(F_46(x, k_0), F_23(x, k_0)*F_45(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, k_0) + F_77(x, k_0))
Eq(F_48(x, k_0), F_49(x, k_0) + F_57(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_23(x, k_0)*F_51(x, k_0))
Eq(F_51(x, k_0), F_20(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_23(x, k_0) + F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x) + F_55(x, k_0) + F_56(x, k_0))
Eq(F_54(x), 0)
Eq(F_55(x, k_0), F_21(x, k_0)*F_23(x, k_0))
Eq(F_56(x, k_0), F_23(x, k_0)*F_52(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_23(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_60(x, k_0) + F_61(x, k_0))
Eq(F_60(x, k_0), F_2(x)*F_51(x, k_0))
Eq(F_61(x, k_0), F_24(x, k_0) + F_62(x, k_0))
Eq(F_62(x, k_0), k_0*F_63(x, k_0))
Eq(F_63(x, k_0), F_64(x, k_0))
Eq(F_64(x, k_0), F_26(x)*F_65(x, k_0))
Eq(F_65(x, k_0), F_66(x, k_0) + F_71(x, k_0))
Eq(F_66(x, k_0), F_16(x, k_0)*F_67(x, k_0))
Eq(F_67(x, k_0), F_26(x) + F_68(x, k_0))
Eq(F_68(x, k_0), F_54(x) + F_69(x, k_0) + F_70(x, k_0))
Eq(F_69(x, k_0), F_21(x, k_0)*F_26(x))
Eq(F_70(x, k_0), F_23(x, k_0)*F_67(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_20(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0))
Eq(F_74(x, k_0), F_26(x)*F_75(x, k_0))
Eq(F_76(x, k_0), F_23(x, k_0)*F_75(x, k_0))
Eq(F_76(x, k_0), F_44(x, k_0))
Eq(F_77(x, k_0), F_78(x, k_0))
Eq(F_78(x, k_0), F_26(x)*F_79(x, k_0))
Eq(F_79(x, k_0), F_80(x, k_0) + F_87(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0))
Eq(F_81(x, k_0), F_23(x, k_0)*F_82(x, k_0)*F_86(x))
Eq(F_82(x, k_0), F_41(x, k_0) + F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), k_0*F_85(x, k_0))
Eq(F_85(x, k_0), (-k_0*F_73(x, k_0) + F_73(x, 1))/(1 - k_0))
Eq(F_86(x), x**4*F_86(x)**3 + x**2*(5*x - 11)*F_86(x)**2 - 9*x + (3*x**2 + 10*x)*F_86(x) + 1)
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_23(x, k_0)*F_89(x, k_0))
Eq(F_90(x, k_0), F_26(x)*F_89(x, k_0))
Eq(F_90(x, k_0), F_91(x, k_0))
Eq(F_91(x, k_0), F_108(x, k_0) + F_92(x, k_0))
Eq(F_92(x, k_0), F_86(x)*F_93(x, k_0))
Eq(F_93(x, k_0), F_107(x, k_0) + F_94(x, k_0))
Eq(F_94(x, k_0), F_95(x, k_0))
Eq(F_95(x, k_0), F_20(x, k_0)*F_26(x)*F_96(x, k_0))
Eq(F_96(x, k_0), F_4(x) + F_97(x, k_0))
Eq(F_97(x, k_0), F_98(x, k_0))
Eq(F_98(x, k_0), F_23(x, k_0)*F_99(x, k_0))
Eq(F_100(x, k_0), F_26(x)*F_99(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_102(x, k_0), F_101(x, k_0) + F_106(x, k_0))
Eq(F_103(x, k_0), F_102(x, k_0)*F_23(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0))
Eq(F_105(x, k_0), F_18(x, k_0)*F_23(x, k_0))
Eq(F_106(x, k_0), F_0(x) + F_104(x, k_0))
Eq(F_107(x, k_0), F_57(x, k_0))
Eq(F_108(x, k_0), F_109(x, k_0))
Eq(F_109(x, k_0), F_110(x, k_0)*F_26(x))
Eq(F_110(x, k_0), F_111(x, k_0) + F_223(x, k_0))
Eq(F_112(x, k_0), F_111(x, k_0)*F_23(x, k_0))
Eq(F_112(x, k_0), F_113(x, k_0))
Eq(F_114(x, k_0), F_113(x, k_0) + F_222(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0) + F_215(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0)*F_2(x))
Eq(F_117(x, k_0), F_116(x, k_0) + F_119(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0)*F_26(x))
Eq(F_118(x, k_0), F_57(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0)*F_23(x, k_0))
Eq(F_121(x, k_0), F_122(x, k_0) + F_158(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0)*F_125(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0) + F_21(x, k_0))
Eq(F_124(x, k_0), F_1(x) + F_49(x, k_0))
Eq(F_125(x, k_0), F_126(x) + F_150(x, k_0))
Eq(F_126(x), F_127(x) + F_86(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_26(x)*F_86(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x, 1))
Eq(F_131(x, k_0), F_132(x, k_0) + F_141(x, k_0))
Eq(F_132(x, k_0), F_133(x, k_0) + F_86(x))
Eq(F_133(x, k_0), F_134(x, k_0) + F_21(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0))
Eq(F_135(x, k_0), F_136(x, k_0)*F_26(x))
Eq(F_136(x, k_0), F_137(x, k_0) + F_139(x, k_0))
Eq(F_137(x, k_0), F_138(x)*F_21(x, k_0))
Eq(F_138(x), F_126(x))
Eq(F_139(x, k_0), F_140(x, k_0)*F_20(x, k_0))
Eq(F_131(x, k_0), F_138(x) + F_140(x, k_0))
Eq(F_141(x, k_0), F_142(x, k_0) + F_144(x, k_0))
Eq(F_142(x, k_0), F_134(x, k_0) + F_143(x))
Eq(F_143(x), x**4*(F_143(x) + 1)**3 + x**2*(5*x - 11)*(F_143(x) + 1)**2 - 9*x + (F_143(x) + 1)*(3*x**2 + 10*x - 1) + F_143(x) + 1)
Eq(F_144(x, k_0), F_145(x, k_0))
Eq(F_145(x, k_0), F_146(x, k_0)*F_26(x))
Eq(F_146(x, k_0), F_147(x, k_0) + F_148(x, k_0))
Eq(F_147(x, k_0), F_131(x, k_0)*F_142(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0)*F_86(x))
Eq(F_149(x, k_0), -F_140(x, k_0) + (-k_0*F_140(x, k_0) + F_140(x, 1))/(1 - k_0))
Eq(F_150(x, k_0), F_151(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0)*F_23(x, k_0))
Eq(F_153(x, k_0), F_152(x, k_0)*F_20(x, k_0)*F_26(x))
Eq(F_153(x, k_0), F_154(x, k_0))
Eq(F_155(x, k_0), F_154(x, k_0) + F_157(x, k_0))
Eq(F_156(x, k_0), F_155(x, k_0)*F_23(x, k_0))
Eq(F_156(x, k_0), F_133(x, k_0))
Eq(F_157(x, k_0), F_20(x, k_0)*F_86(x))
Eq(F_158(x, k_0), F_159(x, k_0)*F_20(x, k_0))
Eq(F_159(x, k_0), k_0*F_160(x, k_0))
Eq(F_161(x, k_0), F_160(x, k_0)*F_20(x, k_0))
Eq(F_162(x, k_0), F_161(x, k_0) + F_214(x, k_0))
Eq(F_163(x, k_0), F_162(x, k_0)*F_26(x))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0)*F_26(x))
Eq(F_166(x, k_0), F_167(x, k_0) + F_168(x, k_0))
Eq(F_167(x, k_0), F_131(x, k_0)*F_67(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0)*F_20(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0) + F_171(x, k_0))
Eq(F_170(x, k_0), F_164(x, k_0) + F_67(x, k_0))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0)*F_26(x))
Eq(F_173(x, k_0), F_174(x, k_0) + F_179(x, k_0))
Eq(F_174(x, k_0), F_175(x, k_0) + F_176(x, k_0))
Eq(F_175(x, k_0), F_131(x, k_0)*F_170(x, k_0))
Eq(F_176(x, k_0), F_149(x, k_0)*F_177(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_26(x)*F_34(x))
Eq(F_179(x, k_0), F_180(x, k_0) + F_181(x, k_0))
Eq(F_180(x, k_0), F_132(x, k_0)*F_169(x, k_0))
Eq(F_181(x, k_0), F_182(x, k_0)*F_86(x))
Eq(F_182(x, k_0), -F_183(x, k_0) + (-k_0*F_183(x, k_0) + F_183(x, 1))/(1 - k_0))
Eq(F_169(x, k_0), F_183(x, k_0) + F_184(x))
Eq(F_184(x), F_185(x) - F_213(x))
Eq(F_185(x), F_186(x)/(F_196(x)*F_26(x)))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_188(x)*F_26(x))
Eq(F_188(x), F_189(x) + F_197(x))
Eq(F_189(x), F_138(x)*F_190(x))
Eq(F_190(x), F_191(x) + F_194(x))
Eq(F_191(x), F_1(x) + F_192(x))
Eq(F_192(x), F_193(x))
Eq(F_193(x), F_190(x)*F_26(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_196(x)*F_26(x))
Eq(F_196(x), F_1(x) + F_194(x))
Eq(F_197(x), F_198(x) - F_207(x))
Eq(F_198(x), F_199(x)/F_26(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x) + F_202(x))
Eq(F_201(x), F_143(x)*F_191(x))
Eq(F_202(x), F_203(x))
Eq(F_203(x), F_196(x)*F_204(x)*F_26(x))
Eq(F_204(x), F_205(x, 1))
Eq(F_205(x, k_0), (-k_0*F_206(x, k_0) + F_206(x, 1))/(1 - k_0))
Eq(F_206(x, k_0), k_0**4*x**4*(F_206(x, k_0) + 1)**3 + k_0**2*x**2*(5*k_0*x - 11)*(F_206(x, k_0) + 1)**2 - 9*k_0*x + (F_206(x, k_0) + 1)*(3*k_0**2*x**2 + 10*k_0*x - 1) + F_206(x, k_0) + 1)
Eq(F_207(x), F_138(x)*F_208(x))
Eq(F_208(x), F_209(x) + F_211(x))
Eq(F_209(x), F_196(x)*F_210(x))
Eq(F_210(x), F_1(x) + F_26(x))
Eq(F_211(x), F_212(x))
Eq(F_212(x), F_194(x)*F_196(x)*F_26(x))
Eq(F_213(x), F_138(x)*F_196(x))
Eq(F_214(x, k_0), F_125(x, k_0)*F_67(x, k_0))
Eq(F_215(x, k_0), F_216(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0)*F_23(x, k_0))
Eq(F_217(x, k_0), F_218(x, k_0) + F_219(x, k_0))
Eq(F_218(x, k_0), F_125(x, k_0)*F_59(x, k_0))
Eq(F_219(x, k_0), F_159(x, k_0)*F_220(x, k_0))
Eq(F_220(x, k_0), F_221(x, k_0) + F_24(x, k_0))
Eq(F_221(x, k_0), F_2(x)*F_20(x, k_0))
Eq(F_222(x, k_0), F_126(x)*F_57(x, k_0))
Eq(F_223(x, k_0), F_224(x, k_0))
Eq(F_224(x, k_0), F_225(x, k_0)*F_26(x)*F_34(x))
Eq(F_225(x, k_0), F_226(x, k_0))
Eq(F_226(x, k_0), F_15(x) + F_227(x, k_0))
Eq(F_227(x, k_0), F_228(x, k_0))
Eq(F_229(x, k_0), F_14(x) + F_228(x, k_0))
Eq(F_230(x, k_0), F_229(x, k_0)*F_26(x)*F_86(x))
Eq(F_230(x, k_0), F_231(x, k_0))
Eq(F_99(x, k_0), F_231(x, k_0) + F_232(x, k_0))
Eq(F_232(x, k_0), F_102(x, k_0) + F_233(x, k_0))
Eq(F_233(x, k_0), F_234(x, k_0))
Eq(F_234(x, k_0), F_235(x, k_0)*F_26(x))
Eq(F_235(x, k_0), F_236(x, k_0) + F_238(x, k_0))
Eq(F_236(x, k_0), F_237(x, k_0) + F_31(x))
Eq(F_237(x, k_0), F_102(x, k_0)*F_4(x))
Eq(F_238(x, k_0), F_239(x, k_0))
Eq(F_239(x, k_0), F_155(x, k_0)*F_97(x, k_0))
Eq(F_240(x, k_0), F_133(x, k_0)*F_16(x, k_0))
Eq(F_241(x), F_15(x)*F_177(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
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