02341_02413_02431_03241_03421_04213_04231_04321_40213_40231_40321

Counting sequence:
1, 1, 2, 6, 24, 109, 522, 2557, 12650, 62860, 312982, 1559682, 7774932, 38761110, 193236454, 963291200, 4801727150, 23933721283, 119288774716, 594524495335, 2962952678436, 14766170144767, 73587152531918, 366715542779221, 1827475428021444, 9106888128757431, 45382214073255910, 226151424892529799, 1126967785430551422, 5615941955261774027, 27985492550784351206, 139457782450117582721, 694947776961954480942, 3463070354292358987140, 17257197570932971392190, 85996167825343073724138, 428536519748330039996308, 2135484971871790901417958, 10641556680353039294451658, 53029042010779317670167716, 264254496449612252815800558, 1316833850362757770235876040, 6562050586345276291273201490, 32700031026346476503255262476, 162950897094759078008367768538, 812017423401768290708819524060, 4046447796656342859323385041556, 20164271567369899999424177780808, 100482662835627731051899642325866, 500725530249795723741816250106760, 2495217090427209976097283601875124, 12434173960237982625859873065439654, 61962016501021622180252315061567964, 308769324839331820998721717174994368, 1538660320493461377063409579889399256, 7667457210669251648508110047990876260, 38208498252614763801852702920979834916, 190400715707223212558068369742115333328, 948805481440442607187732274539464468722, 4728090643151255849383454636256077669968, 23561037096499246308000729168604226933500, 117409438878981065856143972281565469152290, 585075108869731511035422719743814342233950, 2915548242263345296664833397933702978146284, 14528769771109233063801652672815374357841354, 72399814228559890554904648777389246311084679, 360782997043715958357657396982606637651253296, 1797855040979836519104720481355924397646587247, 8959077271603576857395488442239089627032633476, 44644903920156445452539961912872113039818335515, 222474635030080389715928813146623777280601063394, 1108636347915390554127591372795353585225193611089, 5524560369854052070698141199729726141310902519168, 27530007778345803697102869885287951199795105457227, 137187627170722501609281587601428232563236555414238, 683633844231978260658411337360030407981828693584599, 3406686467490047309883594054449115885880452493654162, 16976211441110641191763324637789596880089792302208387, 84595913843992955105597628798742249825669933070573666, 421558641868034405390483761178535417192128729246614485, 2100712439408219746914063868577206530028454453269380934, 10468277280617881290981932078404252799882748729463568853, 52165554489399999173637864877839025689067256658762789448, 259951566265541036294309156436949278298158431992028419239, 1295391517747152459264930492593109155743625876244853039506, 6455199360260221759569349951831968726297925770473093406403, 32167571124184301309219835389367587579959253875929324313304, 160297548422976972654644422153132214458587384398807449761867, 798795281473222227642599795704903413581648725817296414613952, 3980559328461533369332758819035525368836930702840908974387951, 19835936609682287132885751546493612464007420302121666198504732, 98846505909430217391895043426707481992124061272542212803891897, 492572240109864477845888193072690537164235717317601798159086412, 2454587640652355804890651442498821588783899704173819779262702195, 12231709371810289029232540204469695062939341694203593039780519214, 60953095207759748857138452243816279850702426034547070246061542621, 303741668680375730678992218032232626342234984514449488588952392188, 1513606503136368356391009346421415593938367913159666041323470929779, 7542609008143119362279304625866828199733941097172556582546754153178, 37586354532597064140801545934996538925790106348437677262394509556559, 187300448097600461282320134155298345358362821550701049731465774925374

Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24666/
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[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[20,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]*F[14,x]*F[19,x]
F[19,x] = F[1,x]+F[10,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[195,x]+F[23,x]
F[23,x] = F[24,x]+F[79,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[68,x]+F[27,x]
F[27,x] = 1/F[12,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[58,x]
F[30,x] = F[2,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[51,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[0,x]*F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[38,x]*F[46,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[29,x]+F[40,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[38,x]
F[43,x] = -F[29,x]+F[44,x]
F[44,x] = 1/F[12,x]*F[45,x]
F[45,x] = F[6,x]
F[46,x] = F[10,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[19,x]^2*F[12,x]*F[50,x]
F[50,x] = F[19,x]+F[48,x]
F[51,x] = F[52,x]+F[57,x]
F[52,x] = F[2,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[51,x]+F[56,x]
F[56,x] = F[19,x]*F[52,x]
F[57,x] = F[2,x]*F[47,x]
F[58,x] = F[59,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[4,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[19,x]^2*F[2,x]
F[66,x] = F[67,x]
F[67,x] = F[19,x]^2*F[30,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[70,x]+F[72,x]
F[70,x] = 1/F[12,x]*F[71,x]
F[71,x] = F[2,x]
F[72,x] = F[13,x]*F[2,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[12,x]*F[70,x]
F[75,x] = F[13,x]*F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[2,x]+F[30,x]
F[79,x] = F[193,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[190,x]+F[82,x]
F[82,x] = 1/F[12,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[189,x]+F[86,x]
F[86,x] = 1/F[12,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[52,x]+F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[12,x]*F[2,x]
F[91,x] = F[92,x]
F[92,x] = F[12,x]*F[93,x]
F[93,x] = F[94,x]+F[99,x]
F[94,x] = F[95,x]*F[97,x]
F[95,x] = F[51,x]+F[96,x]
F[96,x] = F[19,x]*F[2,x]
F[97,x] = F[98,x]
F[98,x] = F[12,x]*F[50,x]
F[99,x] = F[100,x]*F[19,x]
F[100,x] = F[101,x]+F[89,x]
F[101,x] = F[102,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[12,x]
F[104,x] = 1/F[30,x]*F[105,x]
F[105,x] = -F[188,x]+F[106,x]
F[106,x] = -F[187,x]+F[107,x]
F[107,x] = 1/F[12,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[182,x]+F[110,x]
F[110,x] = -F[113,x]+F[111,x]
F[111,x] = F[112,x]+F[20,x]
F[112,x] = F[19,x]*F[4,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[0,x]*F[19,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[118,x]+F[173,x]
F[118,x] = -F[79,x]+F[119,x]
F[119,x] = -F[123,x]+F[120,x]
F[120,x] = 1/F[12,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[34,x]+F[44,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]+F[163,x]
F[125,x] = F[126,x]+F[151,x]
F[126,x] = F[127,x]+F[135,x]
F[127,x] = F[128,x]+F[130,x]
F[128,x] = F[12,x]*F[129,x]
F[129,x] = -2+x^2+8*x+F[129,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[129,x]
F[130,x] = F[131,x]
F[131,x] = F[12,x]*F[129,x]*F[132,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[50,x]*F[97,x]
F[134,x] = F[102,x]*F[19,x]
F[135,x] = F[136,x]
F[136,x] = -F[147,x]+F[137,x]
F[137,x] = 1/F[12,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[12,x]*F[140,x]
F[140,x] = F[141,x]+F[144,x]
F[141,x] = F[142,x]*F[143,x]
F[142,x] = F[2,x]+F[5,x]
F[143,x] = F[102,x]+F[50,x]
F[144,x] = F[145,x]*F[78,x]
F[145,x] = F[146,x]
F[146,x] = F[104,x]*F[12,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[12,x]*F[149,x]
F[149,x] = F[139,x]
F[150,x] = F[144,x]
F[151,x] = F[152,x]
F[152,x] = F[12,x]*F[153,x]
F[153,x] = 1/F[12,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[126,x]+F[156,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[12,x]*F[40,x]
F[159,x] = F[160,x]
F[160,x] = F[12,x]*F[132,x]*F[40,x]
F[161,x] = F[162,x]
F[162,x] = F[104,x]*F[12,x]*F[19,x]*F[78,x]
F[163,x] = F[164,x]
F[164,x] = F[12,x]*F[165,x]
F[165,x] = F[166,x]+F[171,x]
F[166,x] = 1/F[12,x]*F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[12,x]*F[169,x]*F[50,x]
F[169,x] = F[170,x]+F[51,x]
F[170,x] = F[30,x]*F[47,x]
F[171,x] = F[172,x]
F[172,x] = F[124,x]*F[19,x]
F[173,x] = F[174,x]+F[80,x]
F[174,x] = F[175,x]*F[2,x]
F[175,x] = F[176,x]
F[176,x] = F[12,x]*F[177,x]
F[177,x] = 1/F[12,x]/F[78,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = -F[180,x]+F[124,x]
F[180,x] = 1/F[12,x]*F[181,x]
F[181,x] = F[89,x]
F[182,x] = -F[186,x]+F[183,x]
F[183,x] = F[114,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[119,x]*F[12,x]
F[186,x] = F[19,x]+F[52,x]
F[187,x] = F[43,x]*F[50,x]
F[188,x] = F[50,x]*F[58,x]
F[189,x] = F[180,x]
F[190,x] = -F[180,x]+F[191,x]
F[191,x] = 1/F[12,x]*F[192,x]
F[192,x] = F[84,x]
F[193,x] = F[194,x]
F[194,x] = F[12,x]*F[142,x]*F[177,x]
F[195,x] = F[196,x]
F[196,x] = F[173,x]+F[197,x]
F[197,x] = F[175,x]*F[30,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_{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_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \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_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{195}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{79}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{58}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{51}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right) F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{10}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{19}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{57}\! \left(x \right)
F_{52}\! \left(x \right) = F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{19}\! \left(x \right) F_{52}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{72}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)
F_{72}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{75}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{79}\! \left(x \right) = F_{193}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{189}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{52}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{99}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right) F_{97}\! \left(x \right)
F_{95}\! \left(x \right) = F_{51}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{19}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{89}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{105}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{20}\! \left(x \right)
F_{112}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{173}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{44}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{163}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{151}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{135}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{128}\! \left(x \right) = F_{12}\! \left(x \right) F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = x^{2} F_{129} \left(x \right)^{2}+2 x^{2} F_{129}\! \left(x \right)+4 x F_{129} \left(x \right)^{2}+x^{2}-13 x F_{129}\! \left(x \right)-F_{129} \left(x \right)^{2}+8 x +4 F_{129}\! \left(x \right)-2
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{12}\! \left(x \right) F_{129}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{50}\! \left(x \right) F_{97}\! \left(x \right)
F_{134}\! \left(x \right) = F_{102}\! \left(x \right) F_{19}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{12}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{144}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{143}\! \left(x \right) = F_{102}\! \left(x \right)+F_{50}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{78}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{139}\! \left(x \right)
F_{150}\! \left(x \right) = F_{144}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{12}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{161}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{12}\! \left(x \right) F_{132}\! \left(x \right) F_{40}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right) F_{19}\! \left(x \right) F_{78}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{12}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{171}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{12}\! \left(x \right) F_{169}\! \left(x \right) F_{50}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{51}\! \left(x \right)
F_{170}\! \left(x \right) = F_{30}\! \left(x \right) F_{47}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{124}\! \left(x \right) F_{19}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{80}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{2}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{12}\! \left(x \right) F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{12}\! \left(x \right) F_{78}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{124}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{89}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{114}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{119}\! \left(x \right) F_{12}\! \left(x \right)
F_{186}\! \left(x \right) = F_{19}\! \left(x \right)+F_{52}\! \left(x \right)
F_{187}\! \left(x \right) = F_{43}\! \left(x \right) F_{50}\! \left(x \right)
F_{188}\! \left(x \right) = F_{50}\! \left(x \right) F_{58}\! \left(x \right)
F_{189}\! \left(x \right) = F_{180}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = \frac{F_{192}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{192}\! \left(x \right) = F_{84}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{12}\! \left(x \right) F_{142}\! \left(x \right) F_{177}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{173}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{175}\! \left(x \right) F_{30}\! \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_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_20(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x)*F_14(x)*F_19(x))
Eq(F_19(x), F_1(x) + F_10(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_195(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_79(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x) - F_68(x))
Eq(F_27(x), F_28(x)/F_12(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_58(x))
Eq(F_30(x), F_2(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_51(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_0(x)*F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_38(x)*F_46(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_29(x) + F_40(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_38(x))
Eq(F_43(x), -F_29(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_12(x))
Eq(F_45(x), F_6(x))
Eq(F_46(x), F_10(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_12(x)*F_19(x)**2*F_50(x))
Eq(F_50(x), F_19(x) + F_48(x))
Eq(F_51(x), F_52(x) + F_57(x))
Eq(F_52(x), F_2(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_12(x)*F_55(x))
Eq(F_55(x), F_51(x) + F_56(x))
Eq(F_56(x), F_19(x)*F_52(x))
Eq(F_57(x), F_2(x)*F_47(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_4(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_19(x)**2*F_2(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_19(x)**2*F_30(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_70(x) + F_72(x))
Eq(F_70(x), F_71(x)/F_12(x))
Eq(F_71(x), F_2(x))
Eq(F_72(x), F_13(x)*F_2(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_12(x)*F_70(x))
Eq(F_75(x), F_13(x)*F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_2(x) + F_30(x))
Eq(F_79(x), F_193(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_190(x) + F_82(x))
Eq(F_82(x), F_83(x)/F_12(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_189(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_12(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_52(x) + F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_12(x)*F_2(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_12(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_99(x))
Eq(F_94(x), F_95(x)*F_97(x))
Eq(F_95(x), F_51(x) + F_96(x))
Eq(F_96(x), F_19(x)*F_2(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_12(x)*F_50(x))
Eq(F_99(x), F_100(x)*F_19(x))
Eq(F_100(x), F_101(x) + F_89(x))
Eq(F_101(x), F_102(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_12(x))
Eq(F_104(x), F_105(x)/F_30(x))
Eq(F_105(x), F_106(x) - F_188(x))
Eq(F_106(x), F_107(x) - F_187(x))
Eq(F_107(x), F_108(x)/F_12(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_182(x))
Eq(F_110(x), F_111(x) - F_113(x))
Eq(F_111(x), F_112(x) + F_20(x))
Eq(F_112(x), F_19(x)*F_4(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_0(x)*F_19(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_12(x))
Eq(F_117(x), F_118(x) + F_173(x))
Eq(F_118(x), F_119(x) - F_79(x))
Eq(F_119(x), F_120(x) - F_123(x))
Eq(F_120(x), F_121(x)/F_12(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), -F_34(x) + F_44(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x) + F_163(x))
Eq(F_125(x), F_126(x) + F_151(x))
Eq(F_126(x), F_127(x) + F_135(x))
Eq(F_127(x), F_128(x) + F_130(x))
Eq(F_128(x), F_12(x)*F_129(x))
Eq(F_129(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_129(x)**2 + (2*x**2 - 13*x + 4)*F_129(x) - 2)
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_12(x)*F_129(x)*F_132(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_50(x)*F_97(x))
Eq(F_134(x), F_102(x)*F_19(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x) - F_147(x))
Eq(F_137(x), F_138(x)/F_12(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_12(x)*F_140(x))
Eq(F_140(x), F_141(x) + F_144(x))
Eq(F_141(x), F_142(x)*F_143(x))
Eq(F_142(x), F_2(x) + F_5(x))
Eq(F_143(x), F_102(x) + F_50(x))
Eq(F_144(x), F_145(x)*F_78(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_104(x)*F_12(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_12(x))
Eq(F_149(x), F_139(x))
Eq(F_150(x), F_144(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_12(x)*F_153(x))
Eq(F_153(x), F_154(x)/F_12(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), -F_126(x) + F_156(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_12(x)*F_40(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_12(x)*F_132(x)*F_40(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_104(x)*F_12(x)*F_19(x)*F_78(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_12(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_171(x))
Eq(F_166(x), F_167(x)/F_12(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_12(x)*F_169(x)*F_50(x))
Eq(F_169(x), F_170(x) + F_51(x))
Eq(F_170(x), F_30(x)*F_47(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_124(x)*F_19(x))
Eq(F_173(x), F_174(x) + F_80(x))
Eq(F_174(x), F_175(x)*F_2(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_12(x)*F_177(x))
Eq(F_177(x), F_178(x)/(F_12(x)*F_78(x)))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_124(x) - F_180(x))
Eq(F_180(x), F_181(x)/F_12(x))
Eq(F_181(x), F_89(x))
Eq(F_182(x), F_183(x) - F_186(x))
Eq(F_183(x), F_114(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_119(x)*F_12(x))
Eq(F_186(x), F_19(x) + F_52(x))
Eq(F_187(x), F_43(x)*F_50(x))
Eq(F_188(x), F_50(x)*F_58(x))
Eq(F_189(x), F_180(x))
Eq(F_190(x), -F_180(x) + F_191(x))
Eq(F_191(x), F_192(x)/F_12(x))
Eq(F_192(x), F_84(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_12(x)*F_142(x)*F_177(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_173(x) + F_197(x))
Eq(F_197(x), F_175(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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"comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], 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{"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [3, 1], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [3, 0], [3, 1], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [3, 1], [3, 1], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 0], [3, 1], [3, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 1], [3, 1], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [4, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 1], [3, 1], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [3, 1], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [3, 1], [3, 1], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 1], [3, 0], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 1], [3, 1], [3, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [1, 0], [1, 1], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [3, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [4, 3]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [3, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [3, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [4, 3]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [3, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [3, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [4, 3]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 1], [1, 0], [1, 0], [1, 0], [1, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 1], [1, 0], [1, 0], [1, 0], [3, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 1], [1, 0], [1, 1], [1, 0], [3, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[4, 3]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[1, 1]]}], "indices": [0], "direction": 1, "own_col": true, "own_row": true, "include_empty": false}}]}, {"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]]}], "requirements": [[{"patt": [0], "pos": [[0, 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, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 2], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}}]}

Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24817/
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[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[20,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]*F[14,x]*F[19,x]
F[19,x] = F[1,x]+F[10,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[195,x]+F[23,x]
F[23,x] = F[24,x]+F[79,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[68,x]+F[27,x]
F[27,x] = 1/F[12,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[58,x]
F[30,x] = F[2,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[51,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[0,x]*F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[38,x]*F[46,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[29,x]+F[40,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[38,x]
F[43,x] = -F[29,x]+F[44,x]
F[44,x] = 1/F[12,x]*F[45,x]
F[45,x] = F[6,x]
F[46,x] = F[10,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[19,x]^2*F[12,x]*F[50,x]
F[50,x] = F[19,x]+F[48,x]
F[51,x] = F[52,x]+F[57,x]
F[52,x] = F[2,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[12,x]*F[55,x]
F[55,x] = F[51,x]+F[56,x]
F[56,x] = F[19,x]*F[52,x]
F[57,x] = F[2,x]*F[47,x]
F[58,x] = F[59,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[12,x]*F[62,x]
F[62,x] = F[63,x]+F[66,x]
F[63,x] = F[4,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[19,x]^2*F[2,x]
F[66,x] = F[67,x]
F[67,x] = F[19,x]^2*F[30,x]
F[68,x] = F[69,x]+F[73,x]
F[69,x] = F[70,x]+F[72,x]
F[70,x] = 1/F[12,x]*F[71,x]
F[71,x] = F[2,x]
F[72,x] = F[13,x]*F[2,x]
F[73,x] = F[74,x]+F[75,x]
F[74,x] = F[12,x]*F[70,x]
F[75,x] = F[13,x]*F[76,x]
F[76,x] = F[77,x]
F[77,x] = F[12,x]*F[78,x]
F[78,x] = F[2,x]+F[30,x]
F[79,x] = F[193,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = -F[190,x]+F[82,x]
F[82,x] = 1/F[12,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[12,x]*F[85,x]
F[85,x] = F[189,x]+F[86,x]
F[86,x] = 1/F[12,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[52,x]+F[89,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[12,x]*F[2,x]
F[91,x] = F[92,x]
F[92,x] = F[12,x]*F[93,x]
F[93,x] = F[94,x]+F[99,x]
F[94,x] = F[95,x]*F[97,x]
F[95,x] = F[51,x]+F[96,x]
F[96,x] = F[19,x]*F[2,x]
F[97,x] = F[98,x]
F[98,x] = F[12,x]*F[50,x]
F[99,x] = F[100,x]*F[19,x]
F[100,x] = F[101,x]+F[89,x]
F[101,x] = F[102,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[12,x]
F[104,x] = 1/F[30,x]*F[105,x]
F[105,x] = -F[188,x]+F[106,x]
F[106,x] = -F[187,x]+F[107,x]
F[107,x] = 1/F[12,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[182,x]+F[110,x]
F[110,x] = -F[113,x]+F[111,x]
F[111,x] = F[112,x]+F[20,x]
F[112,x] = F[19,x]*F[4,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[0,x]*F[19,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[118,x]+F[173,x]
F[118,x] = -F[79,x]+F[119,x]
F[119,x] = -F[123,x]+F[120,x]
F[120,x] = 1/F[12,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[34,x]+F[44,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]+F[163,x]
F[125,x] = F[126,x]+F[151,x]
F[126,x] = F[127,x]+F[135,x]
F[127,x] = F[128,x]+F[130,x]
F[128,x] = F[12,x]*F[129,x]
F[129,x] = -2+x^2+8*x+F[129,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[129,x]
F[130,x] = F[131,x]
F[131,x] = F[12,x]*F[129,x]*F[132,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[50,x]*F[97,x]
F[134,x] = F[102,x]*F[19,x]
F[135,x] = F[136,x]
F[136,x] = -F[147,x]+F[137,x]
F[137,x] = 1/F[12,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[12,x]*F[140,x]
F[140,x] = F[141,x]+F[144,x]
F[141,x] = F[142,x]*F[143,x]
F[142,x] = F[2,x]+F[5,x]
F[143,x] = F[102,x]+F[50,x]
F[144,x] = F[145,x]*F[78,x]
F[145,x] = F[146,x]
F[146,x] = F[104,x]*F[12,x]
F[147,x] = -F[150,x]+F[148,x]
F[148,x] = 1/F[12,x]*F[149,x]
F[149,x] = F[139,x]
F[150,x] = F[144,x]
F[151,x] = F[152,x]
F[152,x] = F[12,x]*F[153,x]
F[153,x] = 1/F[12,x]*F[154,x]
F[154,x] = F[155,x]
F[155,x] = -F[126,x]+F[156,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[158,x]+F[159,x]
F[158,x] = F[12,x]*F[40,x]
F[159,x] = F[160,x]
F[160,x] = F[12,x]*F[132,x]*F[40,x]
F[161,x] = F[162,x]
F[162,x] = F[104,x]*F[12,x]*F[19,x]*F[78,x]
F[163,x] = F[164,x]
F[164,x] = F[12,x]*F[165,x]
F[165,x] = F[166,x]+F[171,x]
F[166,x] = 1/F[12,x]*F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[12,x]*F[169,x]*F[50,x]
F[169,x] = F[170,x]+F[51,x]
F[170,x] = F[30,x]*F[47,x]
F[171,x] = F[172,x]
F[172,x] = F[124,x]*F[19,x]
F[173,x] = F[174,x]+F[80,x]
F[174,x] = F[175,x]*F[2,x]
F[175,x] = F[176,x]
F[176,x] = F[12,x]*F[177,x]
F[177,x] = 1/F[12,x]/F[78,x]*F[178,x]
F[178,x] = F[179,x]
F[179,x] = -F[180,x]+F[124,x]
F[180,x] = 1/F[12,x]*F[181,x]
F[181,x] = F[89,x]
F[182,x] = -F[186,x]+F[183,x]
F[183,x] = F[114,x]+F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[119,x]*F[12,x]
F[186,x] = F[19,x]+F[52,x]
F[187,x] = F[43,x]*F[50,x]
F[188,x] = F[50,x]*F[58,x]
F[189,x] = F[180,x]
F[190,x] = -F[180,x]+F[191,x]
F[191,x] = 1/F[12,x]*F[192,x]
F[192,x] = F[84,x]
F[193,x] = F[194,x]
F[194,x] = F[12,x]*F[142,x]*F[177,x]
F[195,x] = F[196,x]
F[196,x] = F[173,x]+F[197,x]
F[197,x] = F[175,x]*F[30,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_{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_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \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_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{195}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{79}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{58}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{51}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right) F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{10}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{19}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{57}\! \left(x \right)
F_{52}\! \left(x \right) = F_{2}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{12}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{19}\! \left(x \right) F_{52}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{12}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{66}\! \left(x \right)
F_{63}\! \left(x \right) = F_{4}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{73}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{72}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{2}\! \left(x \right)
F_{72}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{75}\! \left(x \right)
F_{74}\! \left(x \right) = F_{12}\! \left(x \right) F_{70}\! \left(x \right)
F_{75}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{12}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{79}\! \left(x \right) = F_{193}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{12}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{189}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{52}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{12}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{99}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right) F_{97}\! \left(x \right)
F_{95}\! \left(x \right) = F_{51}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{12}\! \left(x \right) F_{50}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{19}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{89}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{2}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{104}\! \left(x \right) = \frac{F_{105}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{105}\! \left(x \right) = -F_{188}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{187}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{182}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{113}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{20}\! \left(x \right)
F_{112}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{173}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{79}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{44}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{163}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{151}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{135}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)
F_{128}\! \left(x \right) = F_{12}\! \left(x \right) F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = x^{2} F_{129} \left(x \right)^{2}+2 x^{2} F_{129}\! \left(x \right)+4 x F_{129} \left(x \right)^{2}+x^{2}-13 x F_{129}\! \left(x \right)-F_{129} \left(x \right)^{2}+8 x +4 F_{129}\! \left(x \right)-2
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{12}\! \left(x \right) F_{129}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{50}\! \left(x \right) F_{97}\! \left(x \right)
F_{134}\! \left(x \right) = F_{102}\! \left(x \right) F_{19}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{12}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{144}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{143}\! \left(x \right) = F_{102}\! \left(x \right)+F_{50}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{78}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{149}\! \left(x \right) = F_{139}\! \left(x \right)
F_{150}\! \left(x \right) = F_{144}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{12}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{161}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{159}\! \left(x \right)
F_{158}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{12}\! \left(x \right) F_{132}\! \left(x \right) F_{40}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right) F_{19}\! \left(x \right) F_{78}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{12}\! \left(x \right) F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{171}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{12}\! \left(x \right) F_{169}\! \left(x \right) F_{50}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{51}\! \left(x \right)
F_{170}\! \left(x \right) = F_{30}\! \left(x \right) F_{47}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{124}\! \left(x \right) F_{19}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{80}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{2}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{12}\! \left(x \right) F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{12}\! \left(x \right) F_{78}\! \left(x \right)}
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{124}\! \left(x \right)
F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{181}\! \left(x \right) = F_{89}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{114}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{119}\! \left(x \right) F_{12}\! \left(x \right)
F_{186}\! \left(x \right) = F_{19}\! \left(x \right)+F_{52}\! \left(x \right)
F_{187}\! \left(x \right) = F_{43}\! \left(x \right) F_{50}\! \left(x \right)
F_{188}\! \left(x \right) = F_{50}\! \left(x \right) F_{58}\! \left(x \right)
F_{189}\! \left(x \right) = F_{180}\! \left(x \right)
F_{190}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = \frac{F_{192}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{192}\! \left(x \right) = F_{84}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{12}\! \left(x \right) F_{142}\! \left(x \right) F_{177}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{173}\! \left(x \right)+F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{175}\! \left(x \right) F_{30}\! \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_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_20(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x)*F_14(x)*F_19(x))
Eq(F_19(x), F_1(x) + F_10(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_195(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_79(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x) - F_68(x))
Eq(F_27(x), F_28(x)/F_12(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_58(x))
Eq(F_30(x), F_2(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_51(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_0(x)*F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_38(x)*F_46(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_29(x) + F_40(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_38(x))
Eq(F_43(x), -F_29(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_12(x))
Eq(F_45(x), F_6(x))
Eq(F_46(x), F_10(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_12(x)*F_19(x)**2*F_50(x))
Eq(F_50(x), F_19(x) + F_48(x))
Eq(F_51(x), F_52(x) + F_57(x))
Eq(F_52(x), F_2(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_12(x)*F_55(x))
Eq(F_55(x), F_51(x) + F_56(x))
Eq(F_56(x), F_19(x)*F_52(x))
Eq(F_57(x), F_2(x)*F_47(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_12(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_66(x))
Eq(F_63(x), F_4(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_19(x)**2*F_2(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_19(x)**2*F_30(x))
Eq(F_68(x), F_69(x) + F_73(x))
Eq(F_69(x), F_70(x) + F_72(x))
Eq(F_70(x), F_71(x)/F_12(x))
Eq(F_71(x), F_2(x))
Eq(F_72(x), F_13(x)*F_2(x))
Eq(F_73(x), F_74(x) + F_75(x))
Eq(F_74(x), F_12(x)*F_70(x))
Eq(F_75(x), F_13(x)*F_76(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_12(x)*F_78(x))
Eq(F_78(x), F_2(x) + F_30(x))
Eq(F_79(x), F_193(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), -F_190(x) + F_82(x))
Eq(F_82(x), F_83(x)/F_12(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_12(x)*F_85(x))
Eq(F_85(x), F_189(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_12(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_52(x) + F_89(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_12(x)*F_2(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_12(x)*F_93(x))
Eq(F_93(x), F_94(x) + F_99(x))
Eq(F_94(x), F_95(x)*F_97(x))
Eq(F_95(x), F_51(x) + F_96(x))
Eq(F_96(x), F_19(x)*F_2(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_12(x)*F_50(x))
Eq(F_99(x), F_100(x)*F_19(x))
Eq(F_100(x), F_101(x) + F_89(x))
Eq(F_101(x), F_102(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_12(x))
Eq(F_104(x), F_105(x)/F_30(x))
Eq(F_105(x), F_106(x) - F_188(x))
Eq(F_106(x), F_107(x) - F_187(x))
Eq(F_107(x), F_108(x)/F_12(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_182(x))
Eq(F_110(x), F_111(x) - F_113(x))
Eq(F_111(x), F_112(x) + F_20(x))
Eq(F_112(x), F_19(x)*F_4(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_0(x)*F_19(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_12(x))
Eq(F_117(x), F_118(x) + F_173(x))
Eq(F_118(x), F_119(x) - F_79(x))
Eq(F_119(x), F_120(x) - F_123(x))
Eq(F_120(x), F_121(x)/F_12(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), -F_34(x) + F_44(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x) + F_163(x))
Eq(F_125(x), F_126(x) + F_151(x))
Eq(F_126(x), F_127(x) + F_135(x))
Eq(F_127(x), F_128(x) + F_130(x))
Eq(F_128(x), F_12(x)*F_129(x))
Eq(F_129(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_129(x)**2 + (2*x**2 - 13*x + 4)*F_129(x) - 2)
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_12(x)*F_129(x)*F_132(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_50(x)*F_97(x))
Eq(F_134(x), F_102(x)*F_19(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x) - F_147(x))
Eq(F_137(x), F_138(x)/F_12(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_12(x)*F_140(x))
Eq(F_140(x), F_141(x) + F_144(x))
Eq(F_141(x), F_142(x)*F_143(x))
Eq(F_142(x), F_2(x) + F_5(x))
Eq(F_143(x), F_102(x) + F_50(x))
Eq(F_144(x), F_145(x)*F_78(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_104(x)*F_12(x))
Eq(F_147(x), F_148(x) - F_150(x))
Eq(F_148(x), F_149(x)/F_12(x))
Eq(F_149(x), F_139(x))
Eq(F_150(x), F_144(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_12(x)*F_153(x))
Eq(F_153(x), F_154(x)/F_12(x))
Eq(F_154(x), F_155(x))
Eq(F_155(x), -F_126(x) + F_156(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_158(x) + F_159(x))
Eq(F_158(x), F_12(x)*F_40(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_12(x)*F_132(x)*F_40(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_104(x)*F_12(x)*F_19(x)*F_78(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_12(x)*F_165(x))
Eq(F_165(x), F_166(x) + F_171(x))
Eq(F_166(x), F_167(x)/F_12(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_12(x)*F_169(x)*F_50(x))
Eq(F_169(x), F_170(x) + F_51(x))
Eq(F_170(x), F_30(x)*F_47(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_124(x)*F_19(x))
Eq(F_173(x), F_174(x) + F_80(x))
Eq(F_174(x), F_175(x)*F_2(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_12(x)*F_177(x))
Eq(F_177(x), F_178(x)/(F_12(x)*F_78(x)))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_124(x) - F_180(x))
Eq(F_180(x), F_181(x)/F_12(x))
Eq(F_181(x), F_89(x))
Eq(F_182(x), F_183(x) - F_186(x))
Eq(F_183(x), F_114(x) + F_184(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_119(x)*F_12(x))
Eq(F_186(x), F_19(x) + F_52(x))
Eq(F_187(x), F_43(x)*F_50(x))
Eq(F_188(x), F_50(x)*F_58(x))
Eq(F_189(x), F_180(x))
Eq(F_190(x), -F_180(x) + F_191(x))
Eq(F_191(x), F_192(x)/F_12(x))
Eq(F_192(x), F_84(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_12(x)*F_142(x)*F_177(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_173(x) + F_197(x))
Eq(F_197(x), F_175(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "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": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": 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"tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}}]}

Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24937/
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[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[20,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]*F[14,x]*F[19,x]
F[19,x] = F[1,x]+F[10,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[190,x]+F[23,x]
F[23,x] = F[24,x]+F[78,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[67,x]+F[27,x]
F[27,x] = 1/F[12,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[57,x]
F[30,x] = F[2,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[50,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[0,x]*F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[38,x]*F[46,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[29,x]+F[40,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[38,x]
F[43,x] = -F[29,x]+F[44,x]
F[44,x] = 1/F[12,x]*F[45,x]
F[45,x] = F[6,x]
F[46,x] = F[10,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[19,x]^2*F[12,x]*F[49,x]
F[49,x] = F[19,x]+F[47,x]
F[50,x] = F[51,x]+F[56,x]
F[51,x] = F[2,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[50,x]+F[55,x]
F[55,x] = F[19,x]*F[51,x]
F[56,x] = F[2,x]*F[47,x]
F[57,x] = F[58,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[12,x]*F[61,x]
F[61,x] = F[62,x]+F[65,x]
F[62,x] = F[4,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[19,x]^2*F[2,x]
F[65,x] = F[66,x]
F[66,x] = F[19,x]^2*F[30,x]
F[67,x] = F[68,x]+F[72,x]
F[68,x] = F[69,x]+F[71,x]
F[69,x] = 1/F[12,x]*F[70,x]
F[70,x] = F[2,x]
F[71,x] = F[13,x]*F[2,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[12,x]*F[69,x]
F[74,x] = F[13,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[12,x]*F[77,x]
F[77,x] = F[2,x]+F[30,x]
F[78,x] = F[188,x]+F[79,x]
F[79,x] = -F[84,x]+F[80,x]
F[80,x] = 1/F[12,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[12,x]*F[83,x]
F[83,x] = F[187,x]+F[84,x]
F[84,x] = 1/F[12,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[51,x]+F[87,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[12,x]*F[2,x]
F[89,x] = F[90,x]
F[90,x] = F[12,x]*F[91,x]
F[91,x] = F[92,x]+F[97,x]
F[92,x] = F[93,x]*F[95,x]
F[93,x] = F[50,x]+F[94,x]
F[94,x] = F[19,x]*F[2,x]
F[95,x] = F[96,x]
F[96,x] = F[12,x]*F[49,x]
F[97,x] = F[19,x]*F[98,x]
F[98,x] = F[87,x]+F[99,x]
F[99,x] = F[100,x]*F[2,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[12,x]
F[102,x] = 1/F[30,x]*F[103,x]
F[103,x] = -F[186,x]+F[104,x]
F[104,x] = -F[185,x]+F[105,x]
F[105,x] = 1/F[12,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[180,x]+F[108,x]
F[108,x] = -F[111,x]+F[109,x]
F[109,x] = F[110,x]+F[20,x]
F[110,x] = F[19,x]*F[4,x]
F[111,x] = F[112,x]+F[113,x]
F[112,x] = F[0,x]*F[19,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[12,x]
F[115,x] = F[116,x]+F[171,x]
F[116,x] = -F[78,x]+F[117,x]
F[117,x] = -F[121,x]+F[118,x]
F[118,x] = 1/F[12,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = -F[34,x]+F[44,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]+F[161,x]
F[123,x] = F[124,x]+F[149,x]
F[124,x] = F[125,x]+F[133,x]
F[125,x] = F[126,x]+F[128,x]
F[126,x] = F[12,x]*F[127,x]
F[127,x] = -2+x^2+8*x+F[127,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[127,x]
F[128,x] = F[129,x]
F[129,x] = F[12,x]*F[127,x]*F[130,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[49,x]*F[95,x]
F[132,x] = F[100,x]*F[19,x]
F[133,x] = F[134,x]
F[134,x] = -F[145,x]+F[135,x]
F[135,x] = 1/F[12,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[12,x]*F[138,x]
F[138,x] = F[139,x]+F[142,x]
F[139,x] = F[140,x]*F[141,x]
F[140,x] = F[2,x]+F[5,x]
F[141,x] = F[100,x]+F[49,x]
F[142,x] = F[143,x]*F[77,x]
F[143,x] = F[144,x]
F[144,x] = F[102,x]*F[12,x]
F[145,x] = -F[148,x]+F[146,x]
F[146,x] = 1/F[12,x]*F[147,x]
F[147,x] = F[137,x]
F[148,x] = F[142,x]
F[149,x] = F[150,x]
F[150,x] = F[12,x]*F[151,x]
F[151,x] = 1/F[12,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = -F[124,x]+F[154,x]
F[154,x] = F[155,x]+F[159,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[12,x]*F[40,x]
F[157,x] = F[158,x]
F[158,x] = F[12,x]*F[130,x]*F[40,x]
F[159,x] = F[160,x]
F[160,x] = F[102,x]*F[12,x]*F[19,x]*F[77,x]
F[161,x] = F[162,x]
F[162,x] = F[12,x]*F[163,x]
F[163,x] = F[164,x]+F[169,x]
F[164,x] = 1/F[12,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = F[12,x]*F[167,x]*F[49,x]
F[167,x] = F[168,x]+F[50,x]
F[168,x] = F[30,x]*F[47,x]
F[169,x] = F[170,x]
F[170,x] = F[122,x]*F[19,x]
F[171,x] = F[172,x]+F[79,x]
F[172,x] = F[173,x]*F[2,x]
F[173,x] = F[174,x]
F[174,x] = F[12,x]*F[175,x]
F[175,x] = 1/F[12,x]/F[77,x]*F[176,x]
F[176,x] = F[177,x]
F[177,x] = -F[178,x]+F[122,x]
F[178,x] = 1/F[12,x]*F[179,x]
F[179,x] = F[87,x]
F[180,x] = -F[184,x]+F[181,x]
F[181,x] = F[112,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[117,x]*F[12,x]
F[184,x] = F[19,x]+F[51,x]
F[185,x] = F[43,x]*F[49,x]
F[186,x] = F[49,x]*F[57,x]
F[187,x] = F[178,x]
F[188,x] = F[189,x]
F[189,x] = F[12,x]*F[140,x]*F[175,x]
F[190,x] = F[191,x]
F[191,x] = F[171,x]+F[192,x]
F[192,x] = F[173,x]*F[30,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_{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_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \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_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{190}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{78}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{57}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{50}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right) F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{10}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{19}\! \left(x \right)+F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{50}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{19}\! \left(x \right) F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{65}\! \left(x \right)
F_{62}\! \left(x \right) = F_{4}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{72}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{2}\! \left(x \right)
F_{71}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{13}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{78}\! \left(x \right) = F_{188}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{12}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{187}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{51}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{12}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{97}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right) F_{95}\! \left(x \right)
F_{93}\! \left(x \right) = F_{50}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{97}\! \left(x \right) = F_{19}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{87}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{2}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{103}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{20}\! \left(x \right)
F_{110}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{113}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{12}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{171}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{44}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{161}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{149}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{133}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{128}\! \left(x \right)
F_{126}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = x^{2} F_{127} \left(x \right)^{2}+2 x^{2} F_{127}\! \left(x \right)+4 x F_{127} \left(x \right)^{2}+x^{2}-13 x F_{127}\! \left(x \right)-F_{127} \left(x \right)^{2}+8 x +4 F_{127}\! \left(x \right)-2
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right) F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{49}\! \left(x \right) F_{95}\! \left(x \right)
F_{132}\! \left(x \right) = F_{100}\! \left(x \right) F_{19}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{12}\! \left(x \right) F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{142}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{141}\! \left(x \right)
F_{140}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{141}\! \left(x \right) = F_{100}\! \left(x \right)+F_{49}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{77}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{137}\! \left(x \right)
F_{148}\! \left(x \right) = F_{142}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{12}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{159}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{12}\! \left(x \right) F_{130}\! \left(x \right) F_{40}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right) F_{19}\! \left(x \right) F_{77}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{12}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{169}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{12}\! \left(x \right) F_{167}\! \left(x \right) F_{49}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{50}\! \left(x \right)
F_{168}\! \left(x \right) = F_{30}\! \left(x \right) F_{47}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{122}\! \left(x \right) F_{19}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{79}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{2}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{12}\! \left(x \right) F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = \frac{F_{176}\! \left(x \right)}{F_{12}\! \left(x \right) F_{77}\! \left(x \right)}
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{122}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{87}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{112}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{184}\! \left(x \right) = F_{19}\! \left(x \right)+F_{51}\! \left(x \right)
F_{185}\! \left(x \right) = F_{43}\! \left(x \right) F_{49}\! \left(x \right)
F_{186}\! \left(x \right) = F_{49}\! \left(x \right) F_{57}\! \left(x \right)
F_{187}\! \left(x \right) = F_{178}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{12}\! \left(x \right) F_{140}\! \left(x \right) F_{175}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{171}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{173}\! \left(x \right) F_{30}\! \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_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_20(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x)*F_14(x)*F_19(x))
Eq(F_19(x), F_1(x) + F_10(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_190(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_78(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x) - F_67(x))
Eq(F_27(x), F_28(x)/F_12(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_57(x))
Eq(F_30(x), F_2(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_50(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_0(x)*F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_38(x)*F_46(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_29(x) + F_40(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_38(x))
Eq(F_43(x), -F_29(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_12(x))
Eq(F_45(x), F_6(x))
Eq(F_46(x), F_10(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_12(x)*F_19(x)**2*F_49(x))
Eq(F_49(x), F_19(x) + F_47(x))
Eq(F_50(x), F_51(x) + F_56(x))
Eq(F_51(x), F_2(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_50(x) + F_55(x))
Eq(F_55(x), F_19(x)*F_51(x))
Eq(F_56(x), F_2(x)*F_47(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_12(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_65(x))
Eq(F_62(x), F_4(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x)**2*F_2(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_19(x)**2*F_30(x))
Eq(F_67(x), F_68(x) + F_72(x))
Eq(F_68(x), F_69(x) + F_71(x))
Eq(F_69(x), F_70(x)/F_12(x))
Eq(F_70(x), F_2(x))
Eq(F_71(x), F_13(x)*F_2(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_12(x)*F_69(x))
Eq(F_74(x), F_13(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_12(x)*F_77(x))
Eq(F_77(x), F_2(x) + F_30(x))
Eq(F_78(x), F_188(x) + F_79(x))
Eq(F_79(x), F_80(x) - F_84(x))
Eq(F_80(x), F_81(x)/F_12(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_12(x)*F_83(x))
Eq(F_83(x), F_187(x) + F_84(x))
Eq(F_84(x), F_85(x)/F_12(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_51(x) + F_87(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_12(x)*F_2(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_12(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_97(x))
Eq(F_92(x), F_93(x)*F_95(x))
Eq(F_93(x), F_50(x) + F_94(x))
Eq(F_94(x), F_19(x)*F_2(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_12(x)*F_49(x))
Eq(F_97(x), F_19(x)*F_98(x))
Eq(F_98(x), F_87(x) + F_99(x))
Eq(F_99(x), F_100(x)*F_2(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_12(x))
Eq(F_102(x), F_103(x)/F_30(x))
Eq(F_103(x), F_104(x) - F_186(x))
Eq(F_104(x), F_105(x) - F_185(x))
Eq(F_105(x), F_106(x)/F_12(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x) - F_180(x))
Eq(F_108(x), F_109(x) - F_111(x))
Eq(F_109(x), F_110(x) + F_20(x))
Eq(F_110(x), F_19(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_113(x))
Eq(F_112(x), F_0(x)*F_19(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_12(x))
Eq(F_115(x), F_116(x) + F_171(x))
Eq(F_116(x), F_117(x) - F_78(x))
Eq(F_117(x), F_118(x) - F_121(x))
Eq(F_118(x), F_119(x)/F_12(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), -F_34(x) + F_44(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) + F_161(x))
Eq(F_123(x), F_124(x) + F_149(x))
Eq(F_124(x), F_125(x) + F_133(x))
Eq(F_125(x), F_126(x) + F_128(x))
Eq(F_126(x), F_12(x)*F_127(x))
Eq(F_127(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_127(x)**2 + (2*x**2 - 13*x + 4)*F_127(x) - 2)
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_12(x)*F_127(x)*F_130(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_49(x)*F_95(x))
Eq(F_132(x), F_100(x)*F_19(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_145(x))
Eq(F_135(x), F_136(x)/F_12(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_12(x)*F_138(x))
Eq(F_138(x), F_139(x) + F_142(x))
Eq(F_139(x), F_140(x)*F_141(x))
Eq(F_140(x), F_2(x) + F_5(x))
Eq(F_141(x), F_100(x) + F_49(x))
Eq(F_142(x), F_143(x)*F_77(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_102(x)*F_12(x))
Eq(F_145(x), F_146(x) - F_148(x))
Eq(F_146(x), F_147(x)/F_12(x))
Eq(F_147(x), F_137(x))
Eq(F_148(x), F_142(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_12(x)*F_151(x))
Eq(F_151(x), F_152(x)/F_12(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_124(x) + F_154(x))
Eq(F_154(x), F_155(x) + F_159(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_12(x)*F_40(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_12(x)*F_130(x)*F_40(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_102(x)*F_12(x)*F_19(x)*F_77(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_12(x)*F_163(x))
Eq(F_163(x), F_164(x) + F_169(x))
Eq(F_164(x), F_165(x)/F_12(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_12(x)*F_167(x)*F_49(x))
Eq(F_167(x), F_168(x) + F_50(x))
Eq(F_168(x), F_30(x)*F_47(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_122(x)*F_19(x))
Eq(F_171(x), F_172(x) + F_79(x))
Eq(F_172(x), F_173(x)*F_2(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_12(x)*F_175(x))
Eq(F_175(x), F_176(x)/(F_12(x)*F_77(x)))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_122(x) - F_178(x))
Eq(F_178(x), F_179(x)/F_12(x))
Eq(F_179(x), F_87(x))
Eq(F_180(x), F_181(x) - F_184(x))
Eq(F_181(x), F_112(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_117(x)*F_12(x))
Eq(F_184(x), F_19(x) + F_51(x))
Eq(F_185(x), F_43(x)*F_49(x))
Eq(F_186(x), F_49(x)*F_57(x))
Eq(F_187(x), F_178(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_12(x)*F_140(x)*F_175(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_171(x) + F_192(x))
Eq(F_192(x), F_173(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "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": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 0, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 2], [1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 1]], [[1, 0], [1, 2]]]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [2, 1], [2, 1]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], 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1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}}]}

Specification 4
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25415/
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[14,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[14,x]*F[8,x]
F[8,x] = F[20,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[11,x]+F[15,x]
F[11,x] = F[1,x]+F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]
F[14,x] = x
F[15,x] = F[16,x]
F[16,x] = F[10,x]*F[11,x]*F[14,x]*F[17,x]
F[17,x] = F[1,x]+F[18,x]
F[18,x] = F[19,x]
F[19,x] = F[10,x]*F[14,x]
F[20,x] = F[21,x]
F[21,x] = F[14,x]*F[22,x]
F[22,x] = F[168,x]+F[23,x]
F[23,x] = F[24,x]+F[81,x]
F[24,x] = 1/F[14,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[71,x]+F[27,x]
F[27,x] = 1/F[14,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[61,x]
F[30,x] = F[2,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[14,x]*F[33,x]
F[33,x] = F[34,x]+F[52,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[0,x]*F[18,x]
F[36,x] = F[37,x]
F[37,x] = F[14,x]*F[38,x]*F[46,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[29,x]+F[40,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[14,x]*F[38,x]
F[43,x] = -F[29,x]+F[44,x]
F[44,x] = 1/F[14,x]*F[45,x]
F[45,x] = F[6,x]
F[46,x] = F[47,x,1]
F[47,x,k[0]] = (F[48,x,k[0]]*k[0]-F[48,x,1])/(-1+k[0])
F[48,x,k[0]] = F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]^2*F[51,x,k[0]]
F[50,x,k[0]] = F[1,x]+F[48,x,k[0]]
F[51,x,k[0]] = k[0]*x
F[52,x] = F[53,x]+F[58,x]
F[53,x] = F[2,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[14,x]*F[56,x]
F[56,x] = F[52,x]+F[57,x]
F[57,x] = F[17,x]*F[53,x]
F[58,x] = F[2,x]*F[59,x]
F[59,x] = F[60,x,1]
F[60,x,k[0]] = -k[0]*(F[48,x,1]-F[48,x,k[0]])/(-1+k[0])
F[61,x] = F[62,x]
F[62,x] = F[14,x]*F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[14,x]*F[65,x]
F[65,x] = F[66,x]+F[69,x]
F[66,x] = F[4,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[17,x]^2*F[2,x]
F[69,x] = F[70,x]
F[70,x] = F[17,x]^2*F[30,x]
F[71,x] = F[72,x]+F[75,x]
F[72,x] = F[73,x]+F[9,x]
F[73,x] = 1/F[14,x]*F[74,x]
F[74,x] = F[2,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[14,x]*F[73,x]
F[77,x] = F[10,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[14,x]*F[80,x]
F[80,x] = F[2,x]+F[30,x]
F[81,x] = F[155,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[14,x]*F[84,x]
F[84,x] = 1/F[14,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = 1/F[14,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = F[89,x]
F[89,x] = F[14,x]*F[90,x]
F[90,x] = F[152,x]+F[91,x]
F[91,x] = 1/F[14,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = F[94,x]+F[95,x]
F[94,x] = F[14,x]*F[2,x]
F[95,x] = F[96,x]
F[96,x] = F[14,x]*F[97,x]
F[97,x] = F[105,x]+F[98,x]
F[98,x] = F[101,x]*F[99,x]
F[99,x] = F[100,x]+F[52,x]
F[100,x] = F[17,x]*F[2,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[14,x]
F[103,x] = F[104,x,1]
F[104,x,k[0]] = 1/(-1+k[0])*(F[50,x,k[0]]*k[0]-F[50,x,1])
F[105,x] = F[106,x]*F[17,x]
F[106,x] = F[107,x]+F[93,x]
F[107,x] = F[108,x]*F[2,x]
F[108,x] = F[101,x]+F[109,x]
F[109,x] = 1/F[40,x]*F[110,x]
F[110,x] = -F[150,x]+F[111,x]
F[111,x] = 1/F[14,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[149,x]+F[114,x]
F[114,x] = F[115,x]+F[88,x]
F[115,x] = -F[148,x]+F[116,x]
F[116,x] = -F[123,x]+F[117,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[17,x]*F[4,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[14,x]
F[121,x] = 1/F[14,x]*F[122,x]
F[122,x] = F[20,x]
F[123,x] = F[124,x]+F[138,x]
F[124,x] = -F[137,x]+F[125,x]
F[125,x] = -F[126,x]+F[38,x]
F[126,x] = F[127,x]+F[128,x]
F[127,x] = F[36,x]+F[41,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[14,x]
F[130,x] = F[131,x]
F[131,x] = -F[134,x]+F[132,x]
F[132,x] = 1/F[14,x]*F[133,x]
F[133,x] = F[20,x]
F[134,x] = F[135,x]+F[24,x]
F[135,x] = F[136,x]
F[136,x] = -F[23,x]+F[121,x]
F[137,x] = F[17,x]+F[53,x]
F[138,x] = F[139,x]
F[139,x] = F[14,x]*F[140,x]
F[140,x] = F[141,x,1]
F[141,x,k[0]] = (F[142,x,k[0]]*k[0]-F[142,x,1])/(-1+k[0])
F[142,x,k[0]] = F[143,x,k[0]]+F[147,x,k[0]]
F[143,x,k[0]] = F[144,x,k[0]]+F[146,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]*F[30,x]
F[145,x,k[0]] = 1/(-1+k[0])*(F[50,x,k[0]]*k[0]-F[50,x,1])
F[146,x,k[0]] = F[50,x,k[0]]*F[61,x]
F[147,x,k[0]] = F[43,x]*F[50,x,k[0]]
F[148,x] = F[0,x]*F[17,x]
F[149,x] = F[53,x]+F[93,x]
F[150,x] = F[151,x]+F[90,x]
F[151,x] = F[40,x]*F[59,x]
F[152,x] = F[153,x]*F[2,x]
F[153,x] = F[154,x,1]
F[154,x,k[0]] = -k[0]*(F[60,x,1]-F[60,x,k[0]])/(-1+k[0])
F[155,x] = F[156,x]*F[30,x]
F[156,x] = 1/F[2,x]*F[157,x]
F[157,x] = -F[158,x]+F[82,x]
F[158,x] = -F[163,x]+F[159,x]
F[159,x] = 1/F[14,x]*F[160,x]
F[160,x] = F[161,x]
F[161,x] = F[14,x]*F[162,x]
F[162,x] = F[163,x]+F[165,x]
F[163,x] = 1/F[14,x]*F[164,x]
F[164,x] = F[149,x]
F[165,x] = F[166,x]
F[166,x] = 1/F[14,x]*F[167,x]
F[167,x] = F[93,x]
F[168,x] = F[169,x]+F[86,x]
F[169,x] = F[170,x]*F[5,x]
F[170,x] = 1/F[2,x]*F[171,x]
F[171,x] = -F[166,x]+F[86,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_{14}\! \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_{14}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{15}\! \left(x \right)
F_{11}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = x
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right) F_{14}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{10}\! \left(x \right) F_{14}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{14}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{168}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{81}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{61}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{14}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{52}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{14}\! \left(x \right) F_{38}\! \left(x \right) F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{14}\! \left(x \right) F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x , 1\right)
F_{47}\! \left(x , y\right) = -\frac{-F_{48}\! \left(x , y\right) y +F_{48}\! \left(x , 1\right)}{-1+y}
F_{48}\! \left(x , y\right) = F_{49}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)^{2} F_{51}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{48}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = y x
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{58}\! \left(x \right)
F_{53}\! \left(x \right) = F_{2}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{14}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{52}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{17}\! \left(x \right) F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = F_{2}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x , 1\right)
F_{60}\! \left(x , y\right) = -\frac{y \left(F_{48}\! \left(x , 1\right)-F_{48}\! \left(x , y\right)\right)}{-1+y}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{14}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{14}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{69}\! \left(x \right)
F_{66}\! \left(x \right) = F_{4}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{17} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)+F_{75}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{9}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{2}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{14}\! \left(x \right) F_{73}\! \left(x \right)
F_{77}\! \left(x \right) = F_{10}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{14}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{81}\! \left(x \right) = F_{155}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{14}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{14}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{152}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)+F_{95}\! \left(x \right)
F_{94}\! \left(x \right) = F_{14}\! \left(x \right) F_{2}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{14}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{105}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{101}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{52}\! \left(x \right)
F_{100}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{14}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x , 1\right)
F_{104}\! \left(x , y\right) = -\frac{-y F_{50}\! \left(x , y\right)+F_{50}\! \left(x , 1\right)}{-1+y}
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{17}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{93}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{2}\! \left(x \right)
F_{108}\! \left(x \right) = F_{101}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{40}\! \left(x \right)}
F_{110}\! \left(x \right) = -F_{150}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{149}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{88}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{14}\! \left(x \right)
F_{121}\! \left(x \right) = \frac{F_{122}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{122}\! \left(x \right) = F_{20}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{138}\! \left(x \right)
F_{124}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{38}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{128}\! \left(x \right)
F_{127}\! \left(x \right) = F_{36}\! \left(x \right)+F_{41}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{14}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{20}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{24}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{121}\! \left(x \right)
F_{137}\! \left(x \right) = F_{17}\! \left(x \right)+F_{53}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{14}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x , 1\right)
F_{141}\! \left(x , y\right) = -\frac{-y F_{142}\! \left(x , y\right)+F_{142}\! \left(x , 1\right)}{-1+y}
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)+F_{147}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x , y\right)+F_{146}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right) F_{30}\! \left(x \right)
F_{145}\! \left(x , y\right) = -\frac{-y F_{50}\! \left(x , y\right)+F_{50}\! \left(x , 1\right)}{-1+y}
F_{146}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{61}\! \left(x \right)
F_{147}\! \left(x , y\right) = F_{43}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{148}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{149}\! \left(x \right) = F_{53}\! \left(x \right)+F_{93}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{90}\! \left(x \right)
F_{151}\! \left(x \right) = F_{40}\! \left(x \right) F_{59}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{2}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x , 1\right)
F_{154}\! \left(x , y\right) = -\frac{y \left(F_{60}\! \left(x , 1\right)-F_{60}\! \left(x , y\right)\right)}{-1+y}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{30}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{157}\! \left(x \right) = -F_{158}\! \left(x \right)+F_{82}\! \left(x \right)
F_{158}\! \left(x \right) = -F_{163}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = \frac{F_{160}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{14}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{165}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{149}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = \frac{F_{167}\! \left(x \right)}{F_{14}\! \left(x \right)}
F_{167}\! \left(x \right) = F_{93}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{86}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{5}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{171}\! \left(x \right) = -F_{166}\! \left(x \right)+F_{86}\! \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_14(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_14(x)*F_8(x))
Eq(F_8(x), F_20(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_11(x) + F_15(x))
Eq(F_11(x), F_1(x) + F_12(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x))
Eq(F_14(x), x)
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_10(x)*F_11(x)*F_14(x)*F_17(x))
Eq(F_17(x), F_1(x) + F_18(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_10(x)*F_14(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_14(x)*F_22(x))
Eq(F_22(x), F_168(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_81(x))
Eq(F_24(x), F_25(x)/F_14(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x) - F_71(x))
Eq(F_27(x), F_28(x)/F_14(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_61(x))
Eq(F_30(x), F_2(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_14(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_52(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_0(x)*F_18(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_14(x)*F_38(x)*F_46(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_29(x) + F_40(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_14(x)*F_38(x))
Eq(F_43(x), -F_29(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_14(x))
Eq(F_45(x), F_6(x))
Eq(F_46(x), F_47(x, 1))
Eq(F_47(x, k_0), (-k_0*F_48(x, k_0) + F_48(x, 1))/(1 - k_0))
Eq(F_48(x, k_0), F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0)**2*F_51(x, k_0))
Eq(F_50(x, k_0), F_1(x) + F_48(x, k_0))
Eq(F_51(x, k_0), k_0*x)
Eq(F_52(x), F_53(x) + F_58(x))
Eq(F_53(x), F_2(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_14(x)*F_56(x))
Eq(F_56(x), F_52(x) + F_57(x))
Eq(F_57(x), F_17(x)*F_53(x))
Eq(F_58(x), F_2(x)*F_59(x))
Eq(F_59(x), F_60(x, 1))
Eq(F_60(x, k_0), -F_48(x, 1) + (-k_0*F_48(x, k_0) + F_48(x, 1))/(1 - k_0))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_14(x)*F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_14(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_69(x))
Eq(F_66(x), F_4(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_17(x)**2*F_2(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_17(x)**2*F_30(x))
Eq(F_71(x), F_72(x) + F_75(x))
Eq(F_72(x), F_73(x) + F_9(x))
Eq(F_73(x), F_74(x)/F_14(x))
Eq(F_74(x), F_2(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_14(x)*F_73(x))
Eq(F_77(x), F_10(x)*F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_14(x)*F_80(x))
Eq(F_80(x), F_2(x) + F_30(x))
Eq(F_81(x), F_155(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_14(x)*F_84(x))
Eq(F_84(x), F_85(x)/F_14(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_87(x)/F_14(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_14(x)*F_90(x))
Eq(F_90(x), F_152(x) + F_91(x))
Eq(F_91(x), F_92(x)/F_14(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) + F_95(x))
Eq(F_94(x), F_14(x)*F_2(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_14(x)*F_97(x))
Eq(F_97(x), F_105(x) + F_98(x))
Eq(F_98(x), F_101(x)*F_99(x))
Eq(F_99(x), F_100(x) + F_52(x))
Eq(F_100(x), F_17(x)*F_2(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_14(x))
Eq(F_103(x), F_104(x, 1))
Eq(F_104(x, k_0), (-k_0*F_50(x, k_0) + F_50(x, 1))/(1 - k_0))
Eq(F_105(x), F_106(x)*F_17(x))
Eq(F_106(x), F_107(x) + F_93(x))
Eq(F_107(x), F_108(x)*F_2(x))
Eq(F_108(x), F_101(x) + F_109(x))
Eq(F_109(x), F_110(x)/F_40(x))
Eq(F_110(x), F_111(x) - F_150(x))
Eq(F_111(x), F_112(x)/F_14(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) - F_149(x))
Eq(F_114(x), F_115(x) + F_88(x))
Eq(F_115(x), F_116(x) - F_148(x))
Eq(F_116(x), F_117(x) - F_123(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_17(x)*F_4(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_14(x))
Eq(F_121(x), F_122(x)/F_14(x))
Eq(F_122(x), F_20(x))
Eq(F_123(x), F_124(x) + F_138(x))
Eq(F_124(x), F_125(x) - F_137(x))
Eq(F_125(x), -F_126(x) + F_38(x))
Eq(F_126(x), F_127(x) + F_128(x))
Eq(F_127(x), F_36(x) + F_41(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_14(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x) - F_134(x))
Eq(F_132(x), F_133(x)/F_14(x))
Eq(F_133(x), F_20(x))
Eq(F_134(x), F_135(x) + F_24(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_121(x) - F_23(x))
Eq(F_137(x), F_17(x) + F_53(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_14(x)*F_140(x))
Eq(F_140(x), F_141(x, 1))
Eq(F_141(x, k_0), (-k_0*F_142(x, k_0) + F_142(x, 1))/(1 - k_0))
Eq(F_142(x, k_0), F_143(x, k_0) + F_147(x, k_0))
Eq(F_143(x, k_0), F_144(x, k_0) + F_146(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0)*F_30(x))
Eq(F_145(x, k_0), (k_0*F_50(x, k_0) - F_50(x, 1))/(k_0 - 1))
Eq(F_146(x, k_0), F_50(x, k_0)*F_61(x))
Eq(F_147(x, k_0), F_43(x)*F_50(x, k_0))
Eq(F_148(x), F_0(x)*F_17(x))
Eq(F_149(x), F_53(x) + F_93(x))
Eq(F_150(x), F_151(x) + F_90(x))
Eq(F_151(x), F_40(x)*F_59(x))
Eq(F_152(x), F_153(x)*F_2(x))
Eq(F_153(x), F_154(x, 1))
Eq(F_154(x, k_0), -F_60(x, 1) + (-k_0*F_60(x, k_0) + F_60(x, 1))/(1 - k_0))
Eq(F_155(x), F_156(x)*F_30(x))
Eq(F_156(x), F_157(x)/F_2(x))
Eq(F_157(x), -F_158(x) + F_82(x))
Eq(F_158(x), F_159(x) - F_163(x))
Eq(F_159(x), F_160(x)/F_14(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_14(x)*F_162(x))
Eq(F_162(x), F_163(x) + F_165(x))
Eq(F_163(x), F_164(x)/F_14(x))
Eq(F_164(x), F_149(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)/F_14(x))
Eq(F_167(x), F_93(x))
Eq(F_168(x), F_169(x) + F_86(x))
Eq(F_169(x), F_170(x)*F_5(x))
Eq(F_170(x), F_171(x)/F_2(x))
Eq(F_171(x), -F_166(x) + F_86(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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"tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [3, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[3, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 1], [2, 2], [2, 2]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[2, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[3, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 3, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 0, "tracked": true}}, {"class_module": "tilings.strategies.fusion.fusion", "rule_class": "FusionRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [], "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 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25518/
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[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[20,x]+F[9,x]
F[9,x] = F[10,x]*F[4,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[13,x]
F[12,x] = x
F[13,x] = F[14,x]+F[17,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[12,x]*F[14,x]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[13,x]*F[14,x]*F[19,x]
F[19,x] = F[1,x]+F[10,x]
F[20,x] = F[21,x]
F[21,x] = F[12,x]*F[22,x]
F[22,x] = F[190,x]+F[23,x]
F[23,x] = F[24,x]+F[78,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[26,x]
F[26,x] = -F[67,x]+F[27,x]
F[27,x] = 1/F[12,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[57,x]
F[30,x] = F[2,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[12,x]*F[33,x]
F[33,x] = F[34,x]+F[50,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[0,x]*F[10,x]
F[36,x] = F[37,x]
F[37,x] = F[12,x]*F[38,x]*F[46,x]
F[38,x] = F[39,x]+F[43,x]
F[39,x] = F[29,x]+F[40,x]
F[40,x] = F[0,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[12,x]*F[38,x]
F[43,x] = -F[29,x]+F[44,x]
F[44,x] = 1/F[12,x]*F[45,x]
F[45,x] = F[6,x]
F[46,x] = F[10,x]+F[47,x]
F[47,x] = F[48,x]
F[48,x] = F[19,x]^2*F[12,x]*F[49,x]
F[49,x] = F[19,x]+F[47,x]
F[50,x] = F[51,x]+F[56,x]
F[51,x] = F[2,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[12,x]*F[54,x]
F[54,x] = F[50,x]+F[55,x]
F[55,x] = F[19,x]*F[51,x]
F[56,x] = F[2,x]*F[47,x]
F[57,x] = F[58,x]
F[58,x] = F[12,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = F[12,x]*F[61,x]
F[61,x] = F[62,x]+F[65,x]
F[62,x] = F[4,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[19,x]^2*F[2,x]
F[65,x] = F[66,x]
F[66,x] = F[19,x]^2*F[30,x]
F[67,x] = F[68,x]+F[72,x]
F[68,x] = F[69,x]+F[71,x]
F[69,x] = 1/F[12,x]*F[70,x]
F[70,x] = F[2,x]
F[71,x] = F[13,x]*F[2,x]
F[72,x] = F[73,x]+F[74,x]
F[73,x] = F[12,x]*F[69,x]
F[74,x] = F[13,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[12,x]*F[77,x]
F[77,x] = F[2,x]+F[30,x]
F[78,x] = F[188,x]+F[79,x]
F[79,x] = -F[84,x]+F[80,x]
F[80,x] = 1/F[12,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[12,x]*F[83,x]
F[83,x] = F[187,x]+F[84,x]
F[84,x] = 1/F[12,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[51,x]+F[87,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[12,x]*F[2,x]
F[89,x] = F[90,x]
F[90,x] = F[12,x]*F[91,x]
F[91,x] = F[92,x]+F[97,x]
F[92,x] = F[93,x]*F[95,x]
F[93,x] = F[50,x]+F[94,x]
F[94,x] = F[19,x]*F[2,x]
F[95,x] = F[96,x]
F[96,x] = F[12,x]*F[49,x]
F[97,x] = F[19,x]*F[98,x]
F[98,x] = F[87,x]+F[99,x]
F[99,x] = F[100,x]*F[2,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[12,x]
F[102,x] = 1/F[30,x]*F[103,x]
F[103,x] = -F[186,x]+F[104,x]
F[104,x] = -F[185,x]+F[105,x]
F[105,x] = 1/F[12,x]*F[106,x]
F[106,x] = F[107,x]
F[107,x] = -F[180,x]+F[108,x]
F[108,x] = -F[111,x]+F[109,x]
F[109,x] = F[110,x]+F[20,x]
F[110,x] = F[19,x]*F[4,x]
F[111,x] = F[112,x]+F[113,x]
F[112,x] = F[0,x]*F[19,x]
F[113,x] = F[114,x]
F[114,x] = F[115,x]*F[12,x]
F[115,x] = F[116,x]+F[171,x]
F[116,x] = -F[78,x]+F[117,x]
F[117,x] = -F[121,x]+F[118,x]
F[118,x] = 1/F[12,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = -F[34,x]+F[44,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]+F[161,x]
F[123,x] = F[124,x]+F[149,x]
F[124,x] = F[125,x]+F[133,x]
F[125,x] = F[126,x]+F[128,x]
F[126,x] = F[12,x]*F[127,x]
F[127,x] = -2+x^2+8*x+F[127,x]^2*(x^2+4*x-1)+(2*x^2-13*x+4)*F[127,x]
F[128,x] = F[129,x]
F[129,x] = F[12,x]*F[127,x]*F[130,x]
F[130,x] = F[131,x]+F[132,x]
F[131,x] = F[49,x]*F[95,x]
F[132,x] = F[100,x]*F[19,x]
F[133,x] = F[134,x]
F[134,x] = -F[145,x]+F[135,x]
F[135,x] = 1/F[12,x]*F[136,x]
F[136,x] = F[137,x]
F[137,x] = F[12,x]*F[138,x]
F[138,x] = F[139,x]+F[142,x]
F[139,x] = F[140,x]*F[141,x]
F[140,x] = F[2,x]+F[5,x]
F[141,x] = F[100,x]+F[49,x]
F[142,x] = F[143,x]*F[77,x]
F[143,x] = F[144,x]
F[144,x] = F[102,x]*F[12,x]
F[145,x] = -F[148,x]+F[146,x]
F[146,x] = 1/F[12,x]*F[147,x]
F[147,x] = F[137,x]
F[148,x] = F[142,x]
F[149,x] = F[150,x]
F[150,x] = F[12,x]*F[151,x]
F[151,x] = 1/F[12,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = -F[124,x]+F[154,x]
F[154,x] = F[155,x]+F[159,x]
F[155,x] = F[156,x]+F[157,x]
F[156,x] = F[12,x]*F[40,x]
F[157,x] = F[158,x]
F[158,x] = F[12,x]*F[130,x]*F[40,x]
F[159,x] = F[160,x]
F[160,x] = F[102,x]*F[12,x]*F[19,x]*F[77,x]
F[161,x] = F[162,x]
F[162,x] = F[12,x]*F[163,x]
F[163,x] = F[164,x]+F[169,x]
F[164,x] = 1/F[12,x]*F[165,x]
F[165,x] = F[166,x]
F[166,x] = F[12,x]*F[167,x]*F[49,x]
F[167,x] = F[168,x]+F[50,x]
F[168,x] = F[30,x]*F[47,x]
F[169,x] = F[170,x]
F[170,x] = F[122,x]*F[19,x]
F[171,x] = F[172,x]+F[79,x]
F[172,x] = F[173,x]*F[2,x]
F[173,x] = F[174,x]
F[174,x] = F[12,x]*F[175,x]
F[175,x] = 1/F[12,x]/F[77,x]*F[176,x]
F[176,x] = F[177,x]
F[177,x] = -F[178,x]+F[122,x]
F[178,x] = 1/F[12,x]*F[179,x]
F[179,x] = F[87,x]
F[180,x] = -F[184,x]+F[181,x]
F[181,x] = F[112,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[117,x]*F[12,x]
F[184,x] = F[19,x]+F[51,x]
F[185,x] = F[43,x]*F[49,x]
F[186,x] = F[49,x]*F[57,x]
F[187,x] = F[178,x]
F[188,x] = F[189,x]
F[189,x] = F[12,x]*F[140,x]*F[175,x]
F[190,x] = F[191,x]
F[191,x] = F[171,x]+F[192,x]
F[192,x] = F[173,x]*F[30,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_{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_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{20}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \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_{13}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{17}\! \left(x \right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{12}\! \left(x \right) F_{14}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right) F_{14}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{1}\! \left(x \right)+F_{10}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{190}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{78}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{57}\! \left(x \right)
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{12}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{50}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right) F_{46}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{43}\! \left(x \right)
F_{39}\! \left(x \right) = F_{29}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{12}\! \left(x \right) F_{38}\! \left(x \right)
F_{43}\! \left(x \right) = -F_{29}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{6}\! \left(x \right)
F_{46}\! \left(x \right) = F_{10}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{19}\! \left(x \right)+F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{56}\! \left(x \right)
F_{51}\! \left(x \right) = F_{2}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{12}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{50}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{19}\! \left(x \right) F_{51}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{47}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{65}\! \left(x \right)
F_{62}\! \left(x \right) = F_{4}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{2}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{19} \left(x \right)^{2} F_{30}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{72}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)+F_{71}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{2}\! \left(x \right)
F_{71}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{74}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{13}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{12}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{2}\! \left(x \right)+F_{30}\! \left(x \right)
F_{78}\! \left(x \right) = F_{188}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{84}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{12}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{187}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{51}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{12}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{97}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right) F_{95}\! \left(x \right)
F_{93}\! \left(x \right) = F_{50}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{12}\! \left(x \right) F_{49}\! \left(x \right)
F_{97}\! \left(x \right) = F_{19}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{87}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{2}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{30}\! \left(x \right)}
F_{103}\! \left(x \right) = -F_{186}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{180}\! \left(x \right)+F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{111}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{20}\! \left(x \right)
F_{110}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{113}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{19}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right) F_{12}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{171}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{78}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{121}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{44}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{161}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{149}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{133}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{128}\! \left(x \right)
F_{126}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = x^{2} F_{127} \left(x \right)^{2}+2 x^{2} F_{127}\! \left(x \right)+4 x F_{127} \left(x \right)^{2}+x^{2}-13 x F_{127}\! \left(x \right)-F_{127} \left(x \right)^{2}+8 x +4 F_{127}\! \left(x \right)-2
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{12}\! \left(x \right) F_{127}\! \left(x \right) F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)
F_{131}\! \left(x \right) = F_{49}\! \left(x \right) F_{95}\! \left(x \right)
F_{132}\! \left(x \right) = F_{100}\! \left(x \right) F_{19}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = \frac{F_{136}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{12}\! \left(x \right) F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{142}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{141}\! \left(x \right)
F_{140}\! \left(x \right) = F_{2}\! \left(x \right)+F_{5}\! \left(x \right)
F_{141}\! \left(x \right) = F_{100}\! \left(x \right)+F_{49}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{77}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{137}\! \left(x \right)
F_{148}\! \left(x \right) = F_{142}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{12}\! \left(x \right) F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{124}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{159}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)+F_{157}\! \left(x \right)
F_{156}\! \left(x \right) = F_{12}\! \left(x \right) F_{40}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{12}\! \left(x \right) F_{130}\! \left(x \right) F_{40}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{102}\! \left(x \right) F_{12}\! \left(x \right) F_{19}\! \left(x \right) F_{77}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = F_{12}\! \left(x \right) F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{169}\! \left(x \right)
F_{164}\! \left(x \right) = \frac{F_{165}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{12}\! \left(x \right) F_{167}\! \left(x \right) F_{49}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{50}\! \left(x \right)
F_{168}\! \left(x \right) = F_{30}\! \left(x \right) F_{47}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{122}\! \left(x \right) F_{19}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{79}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right) F_{2}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{12}\! \left(x \right) F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = \frac{F_{176}\! \left(x \right)}{F_{12}\! \left(x \right) F_{77}\! \left(x \right)}
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{122}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{87}\! \left(x \right)
F_{180}\! \left(x \right) = -F_{184}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{112}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{184}\! \left(x \right) = F_{19}\! \left(x \right)+F_{51}\! \left(x \right)
F_{185}\! \left(x \right) = F_{43}\! \left(x \right) F_{49}\! \left(x \right)
F_{186}\! \left(x \right) = F_{49}\! \left(x \right) F_{57}\! \left(x \right)
F_{187}\! \left(x \right) = F_{178}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{12}\! \left(x \right) F_{140}\! \left(x \right) F_{175}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{171}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{173}\! \left(x \right) F_{30}\! \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_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_20(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_4(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_13(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_17(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_12(x)*F_14(x))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_13(x)*F_14(x)*F_19(x))
Eq(F_19(x), F_1(x) + F_10(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_12(x)*F_22(x))
Eq(F_22(x), F_190(x) + F_23(x))
Eq(F_23(x), F_24(x) + F_78(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x) - F_67(x))
Eq(F_27(x), F_28(x)/F_12(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_57(x))
Eq(F_30(x), F_2(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_12(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_50(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_0(x)*F_10(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_12(x)*F_38(x)*F_46(x))
Eq(F_38(x), F_39(x) + F_43(x))
Eq(F_39(x), F_29(x) + F_40(x))
Eq(F_40(x), F_0(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_12(x)*F_38(x))
Eq(F_43(x), -F_29(x) + F_44(x))
Eq(F_44(x), F_45(x)/F_12(x))
Eq(F_45(x), F_6(x))
Eq(F_46(x), F_10(x) + F_47(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_12(x)*F_19(x)**2*F_49(x))
Eq(F_49(x), F_19(x) + F_47(x))
Eq(F_50(x), F_51(x) + F_56(x))
Eq(F_51(x), F_2(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_12(x)*F_54(x))
Eq(F_54(x), F_50(x) + F_55(x))
Eq(F_55(x), F_19(x)*F_51(x))
Eq(F_56(x), F_2(x)*F_47(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_12(x)*F_59(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_12(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_65(x))
Eq(F_62(x), F_4(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x)**2*F_2(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_19(x)**2*F_30(x))
Eq(F_67(x), F_68(x) + F_72(x))
Eq(F_68(x), F_69(x) + F_71(x))
Eq(F_69(x), F_70(x)/F_12(x))
Eq(F_70(x), F_2(x))
Eq(F_71(x), F_13(x)*F_2(x))
Eq(F_72(x), F_73(x) + F_74(x))
Eq(F_73(x), F_12(x)*F_69(x))
Eq(F_74(x), F_13(x)*F_75(x))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_12(x)*F_77(x))
Eq(F_77(x), F_2(x) + F_30(x))
Eq(F_78(x), F_188(x) + F_79(x))
Eq(F_79(x), F_80(x) - F_84(x))
Eq(F_80(x), F_81(x)/F_12(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_12(x)*F_83(x))
Eq(F_83(x), F_187(x) + F_84(x))
Eq(F_84(x), F_85(x)/F_12(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_51(x) + F_87(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_12(x)*F_2(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_12(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_97(x))
Eq(F_92(x), F_93(x)*F_95(x))
Eq(F_93(x), F_50(x) + F_94(x))
Eq(F_94(x), F_19(x)*F_2(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_12(x)*F_49(x))
Eq(F_97(x), F_19(x)*F_98(x))
Eq(F_98(x), F_87(x) + F_99(x))
Eq(F_99(x), F_100(x)*F_2(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_12(x))
Eq(F_102(x), F_103(x)/F_30(x))
Eq(F_103(x), F_104(x) - F_186(x))
Eq(F_104(x), F_105(x) - F_185(x))
Eq(F_105(x), F_106(x)/F_12(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x) - F_180(x))
Eq(F_108(x), F_109(x) - F_111(x))
Eq(F_109(x), F_110(x) + F_20(x))
Eq(F_110(x), F_19(x)*F_4(x))
Eq(F_111(x), F_112(x) + F_113(x))
Eq(F_112(x), F_0(x)*F_19(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x)*F_12(x))
Eq(F_115(x), F_116(x) + F_171(x))
Eq(F_116(x), F_117(x) - F_78(x))
Eq(F_117(x), F_118(x) - F_121(x))
Eq(F_118(x), F_119(x)/F_12(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), -F_34(x) + F_44(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x) + F_161(x))
Eq(F_123(x), F_124(x) + F_149(x))
Eq(F_124(x), F_125(x) + F_133(x))
Eq(F_125(x), F_126(x) + F_128(x))
Eq(F_126(x), F_12(x)*F_127(x))
Eq(F_127(x), x**2 + 8*x + (x**2 + 4*x - 1)*F_127(x)**2 + (2*x**2 - 13*x + 4)*F_127(x) - 2)
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_12(x)*F_127(x)*F_130(x))
Eq(F_130(x), F_131(x) + F_132(x))
Eq(F_131(x), F_49(x)*F_95(x))
Eq(F_132(x), F_100(x)*F_19(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_135(x) - F_145(x))
Eq(F_135(x), F_136(x)/F_12(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_12(x)*F_138(x))
Eq(F_138(x), F_139(x) + F_142(x))
Eq(F_139(x), F_140(x)*F_141(x))
Eq(F_140(x), F_2(x) + F_5(x))
Eq(F_141(x), F_100(x) + F_49(x))
Eq(F_142(x), F_143(x)*F_77(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_102(x)*F_12(x))
Eq(F_145(x), F_146(x) - F_148(x))
Eq(F_146(x), F_147(x)/F_12(x))
Eq(F_147(x), F_137(x))
Eq(F_148(x), F_142(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_12(x)*F_151(x))
Eq(F_151(x), F_152(x)/F_12(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_124(x) + F_154(x))
Eq(F_154(x), F_155(x) + F_159(x))
Eq(F_155(x), F_156(x) + F_157(x))
Eq(F_156(x), F_12(x)*F_40(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_12(x)*F_130(x)*F_40(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_102(x)*F_12(x)*F_19(x)*F_77(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_12(x)*F_163(x))
Eq(F_163(x), F_164(x) + F_169(x))
Eq(F_164(x), F_165(x)/F_12(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_12(x)*F_167(x)*F_49(x))
Eq(F_167(x), F_168(x) + F_50(x))
Eq(F_168(x), F_30(x)*F_47(x))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_122(x)*F_19(x))
Eq(F_171(x), F_172(x) + F_79(x))
Eq(F_172(x), F_173(x)*F_2(x))
Eq(F_173(x), F_174(x))
Eq(F_174(x), F_12(x)*F_175(x))
Eq(F_175(x), F_176(x)/(F_12(x)*F_77(x)))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_122(x) - F_178(x))
Eq(F_178(x), F_179(x)/F_12(x))
Eq(F_179(x), F_87(x))
Eq(F_180(x), F_181(x) - F_184(x))
Eq(F_181(x), F_112(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_117(x)*F_12(x))
Eq(F_184(x), F_19(x) + F_51(x))
Eq(F_185(x), F_43(x)*F_49(x))
Eq(F_186(x), F_49(x)*F_57(x))
Eq(F_187(x), F_178(x))
Eq(F_188(x), F_189(x))
Eq(F_189(x), F_12(x)*F_140(x)*F_175(x))
Eq(F_190(x), F_191(x))
Eq(F_191(x), F_171(x) + F_192(x))
Eq(F_192(x), F_173(x)*F_30(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 1, 3], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 1, 3], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [4, 0, 2, 1, 3], [4, 0, 2, 3, 1], [4, 0, 3, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "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": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [4, 0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": 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