02341_02431_03241_03421_04231_04321_20341_20431_23041_30241_30421_32041
Counting sequence:
1, 1, 2, 6, 24, 108, 512, 2489, 12318, 61876, 314876, 1620571, 8422914, 44153300, 233183079, 1239559566, 6627389610, 35615876803, 192280476242, 1042357008512, 5671728408629, 30965873606107, 169586390487218, 931376770930649, 5128462536139832, 28306653558461117, 156585462707542410, 867973277577261780, 4820487600180304895, 26819413112313827034, 149461972870776511293, 834237162104553941951, 4663201430373327495968, 26102180272988892472994, 146296110756329275697821, 820957158502003707307863, 4612228861796915051662773, 25940425031004349054841997, 146047635498565097989875304, 823076810434315279473194053, 4642944255687675579749217300, 26214056944281711828426715151, 148130487259908708055493494323, 837735926116418813636832824321, 4741398736293691264546043364459, 26855156300570555188300902487731, 152214814393869920475879979958280, 863338749288124852404488371998874, 4899914014072633888258837709885360, 27827050364889272927807905710180653, 158127219151972188179483276285268223, 899076645169988280963605504363434430, 5114790853959147378551347537300519149, 29113278551108865286310003642202118962, 165797474379039430834005284491865423145, 944670190975517780812491626248517967670, 5385058085915374315303050728490374061949, 30711513842304779907938584223421466148888, 175228946504219337918062279729601828752117, 1000225117795378445705029521753738972516032, 5711770564631241937794298859615559180603583, 32630141317894630188199801141444334701503631, 186481928973962828741614478880240884215482512, 1066151218897222326989069239666146679165727445, 6097615378133779206549149999494037458633387562, 34886351344467143589270815570848761255083237692, 199664446341667248332335558501429754093829892609, 1143118244542626304222826170042863972098720669810, 6546701876362950287015704003685820707718019608901, 37505149909658386931755888795298857809537386287153, 214927652610331597966511182106795414308978375560144, 1232034905298257257287099283857415792082644425998605, 7064468423490441892322042852396116085578151721296656, 40518961110397236840826276246830768482453488159207159, 232464247166216913951977086298971409081613867598052015, 1334043324322413322825371610748259737695536690070168094, 7657668622910897991213566229955118562780344069673166857, 43967640486607112241090645921385863480289902021717582437, 252509025437183309049537349742966968871807419753355680025, 1450524639327358427532119853706199970953856402829186443451, 8334416086663250670610386009204115944014753950423641590703, 47898797418127537908998607958741075842233811084949477608439, 275341070028573596494118832090710783507244006035703442435695, 1583113359680493085982375249784529064154430998712630201123658, 9104276185463525534256262512463354694598866303848997446593235, 52368370984410405156703594609421202256302392255217206260167416, 301287316567199854850674805631653688198629001665942990062061788, 1733719218182902300073686717803548529113505790135403356265789460, 9978398863799325624483861433106526869331154828404970362453589264, 57441431917281935771028463479158350843072343833147309257115660592, 330727370105326664252638777076638371586460357046859886987735434436, 1904555970259152776219903765100176512806863894589956157195446745541, 10969690210671111269142796143626901261463093324480151822714829057710, 63193201588187957116855460616543863721375701941602252154155980538024, 364099541330285368356013160989798088892024502846292910465787892536741, 2098177071858632196001891127763575206293341161410686408159670532608110, 12093022940790592523622405591113565388338275384177684501280054951679278, 69710291724606706608306334567423131855148378716695625766587884785643234, 401908138176550973257533988884331502107163832482620903093162794543272796, 2317518514454616669238620036653175354075754093930259473027835352160749204, 13365487766827856606582773947672476788121342355174769743700640872313919381
Implicit equation for the generating function in Maple syntax:
x^2*(3*x^3+2*x^2+2*x-3)*F(x)^3-x*(2*x^4-x^3+4*x^2-4)*F(x)^2+(2*x^3+x^2-3*x-1)*F(x)-(x-1)*(x+1) = 0
Implicit equation for the generating function in latex syntax:
x^{2} \left(3 x^{3}+2 x^{2}+2 x -3\right) F \! \left(x \right)^{3}-x \left(2 x^{4}-x^{3}+4 x^{2}-4\right) F \! \left(x \right)^{2}+\left(2 x^{3}+x^{2}-3 x -1\right) F \! \left(x \right)-\left(x -1\right) \left(x +1\right) = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 108
a(6) = 512
a(7) = 2489
a(8) = 12318
a(9) = 61876
a(10) = 314876
a(11) = 1620571
a(12) = 8422914
a(13) = 44153300
a(14) = 233183079
a(15) = 1239559566
a(16) = 6627389610
a(17) = 35615876803
a(18) = 192280476242
a(19) = 1042357008512
a(20) = 5671728408629
a(21) = 30965873606107
a(22) = 169586390487218
a(23) = 931376770930649
a(24) = 5128462536139832
a(25) = 28306653558461117
a(26) = 156585462707542410
a(27) = 867973277577261780
a(28) = 4820487600180304895
a(29) = 26819413112313827034
a(30) = 149461972870776511293
a(n+31) = 144/7*n*(2*n+3)/(n+32)/(n+31)*a(n)-8/7*(2*n+5)*(25*n+32)/(n+32)/(n+31)*a(n+1)+1/42*(685*n+20642)/(n+32)*a(n+30)-1/28*(162159*n^2+7417430*n+84298942)/(n+32)/(n+31)*a(n+24)+1/168*(138223*n^2+7621875*n+104347964)/(n+32)/(n+31)*a(n+25)+1/168*(15551*n^2+102789*n-8260196)/(n+32)/(n+31)*a(n+26)-1/28*(9998*n^2+517693*n+6668656)/(n+32)/(n+31)*a(n+27)+1/168*(47983*n^2+2721435*n+38574464)/(n+32)/(n+31)*a(n+28)-1/84*(8419*n^2+497913*n+7360358)/(n+32)/(n+31)*a(n+29)-1/56*(2831663*n^2+113291231*n+1126036482)/(n+32)/(n+31)*a(n+21)-1/168*(189307*n^2+7827903*n+82472198)/(n+32)/(n+31)*a(n+22)+1/28*(410105*n^2+17866056*n+193376102)/(n+32)/(n+31)*a(n+23)-1/84*(2226734*n^2+94245867*n+968999206)/(n+32)/(n+31)*a(n+17)-1/168*(19479725*n^2+647446035*n+5306254414)/(n+32)/(n+31)*a(n+18)+1/84*(4844105*n^2+179326515*n+1653210937)/(n+32)/(n+31)*a(n+19)+1/56*(3077051*n^2+115510319*n+1075145716)/(n+32)/(n+31)*a(n+20)-1/56*(5139645*n^2+141382539*n+969365566)/(n+32)/(n+31)*a(n+14)+1/168*(2499671*n^2+160240197*n+1893681640)/(n+32)/(n+31)*a(n+15)+1/84*(10154516*n^2+300193365*n+2185788550)/(n+32)/(n+31)*a(n+16)-8/21*(430*n^2+2691*n+3584)/(n+32)/(n+31)*a(n+2)+3/7*(289*n^2+4460*n+11488)/(n+32)/(n+31)*a(n+3)+1/42*(46499*n^2+398565*n+789160)/(n+32)/(n+31)*a(n+4)-1/42*(11585*n^2+496377*n+2404816)/(n+32)/(n+31)*a(n+5)-1/168*(532499*n^2+6241365*n+15818992)/(n+32)/(n+31)*a(n+6)+1/168*(27149*n^2+5449233*n+39190096)/(n+32)/(n+31)*a(n+7)+1/84*(843271*n^2+14373540*n+57469259)/(n+32)/(n+31)*a(n+8)-1/56*(330243*n^2+11161597*n+75475870)/(n+32)/(n+31)*a(n+9)-1/56*(1822811*n^2+41527467*n+231481350)/(n+32)/(n+31)*a(n+10)+1/168*(3507365*n^2+123241671*n+949414552)/(n+32)/(n+31)*a(n+11)+1/168*(10572365*n^2+275181033*n+1784166082)/(n+32)/(n+31)*a(n+12)-1/168*(4217281*n^2+193842087*n+1852881770)/(n+32)/(n+31)*a(n+13), n >= 31
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 108
a(6) = 512
a(7) = 2489
a(8) = 12318
a(9) = 61876
a(10) = 314876
a(11) = 1620571
a(12) = 8422914
a(13) = 44153300
a(14) = 233183079
a(15) = 1239559566
a(16) = 6627389610
a(17) = 35615876803
a(18) = 192280476242
a(19) = 1042357008512
a(20) = 5671728408629
a(21) = 30965873606107
a(22) = 169586390487218
a(23) = 931376770930649
a(24) = 5128462536139832
a(25) = 28306653558461117
a(26) = 156585462707542410
a(27) = 867973277577261780
a(28) = 4820487600180304895
a(29) = 26819413112313827034
a(30) = 149461972870776511293
a{\left(n + 31 \right)} = \frac{144 n \left(2 n + 3\right) a{\left(n \right)}}{7 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(685 n + 20642\right) a{\left(n + 30 \right)}}{42 \left(n + 32\right)} - \frac{8 \left(2 n + 5\right) \left(25 n + 32\right) a{\left(n + 1 \right)}}{7 \left(n + 31\right) \left(n + 32\right)} + \frac{3 \left(289 n^{2} + 4460 n + 11488\right) a{\left(n + 3 \right)}}{7 \left(n + 31\right) \left(n + 32\right)} - \frac{8 \left(430 n^{2} + 2691 n + 3584\right) a{\left(n + 2 \right)}}{21 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(8419 n^{2} + 497913 n + 7360358\right) a{\left(n + 29 \right)}}{84 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(9998 n^{2} + 517693 n + 6668656\right) a{\left(n + 27 \right)}}{28 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(11585 n^{2} + 496377 n + 2404816\right) a{\left(n + 5 \right)}}{42 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(15551 n^{2} + 102789 n - 8260196\right) a{\left(n + 26 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(27149 n^{2} + 5449233 n + 39190096\right) a{\left(n + 7 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(46499 n^{2} + 398565 n + 789160\right) a{\left(n + 4 \right)}}{42 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(47983 n^{2} + 2721435 n + 38574464\right) a{\left(n + 28 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(138223 n^{2} + 7621875 n + 104347964\right) a{\left(n + 25 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(162159 n^{2} + 7417430 n + 84298942\right) a{\left(n + 24 \right)}}{28 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(189307 n^{2} + 7827903 n + 82472198\right) a{\left(n + 22 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(330243 n^{2} + 11161597 n + 75475870\right) a{\left(n + 9 \right)}}{56 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(410105 n^{2} + 17866056 n + 193376102\right) a{\left(n + 23 \right)}}{28 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(532499 n^{2} + 6241365 n + 15818992\right) a{\left(n + 6 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(843271 n^{2} + 14373540 n + 57469259\right) a{\left(n + 8 \right)}}{84 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(1822811 n^{2} + 41527467 n + 231481350\right) a{\left(n + 10 \right)}}{56 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(2226734 n^{2} + 94245867 n + 968999206\right) a{\left(n + 17 \right)}}{84 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(2499671 n^{2} + 160240197 n + 1893681640\right) a{\left(n + 15 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(2831663 n^{2} + 113291231 n + 1126036482\right) a{\left(n + 21 \right)}}{56 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(3077051 n^{2} + 115510319 n + 1075145716\right) a{\left(n + 20 \right)}}{56 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(3507365 n^{2} + 123241671 n + 949414552\right) a{\left(n + 11 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(4217281 n^{2} + 193842087 n + 1852881770\right) a{\left(n + 13 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(4844105 n^{2} + 179326515 n + 1653210937\right) a{\left(n + 19 \right)}}{84 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(5139645 n^{2} + 141382539 n + 969365566\right) a{\left(n + 14 \right)}}{56 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(10154516 n^{2} + 300193365 n + 2185788550\right) a{\left(n + 16 \right)}}{84 \left(n + 31\right) \left(n + 32\right)} + \frac{\left(10572365 n^{2} + 275181033 n + 1784166082\right) a{\left(n + 12 \right)}}{168 \left(n + 31\right) \left(n + 32\right)} - \frac{\left(19479725 n^{2} + 647446035 n + 5306254414\right) a{\left(n + 18 \right)}}{168 \left(n + 31\right) \left(n + 32\right)}, \quad n \geq 31
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24458/
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[13,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = 1/F[12,x]*F[11,x]
F[11,x] = F[2,x]
F[12,x] = x
F[13,x] = F[14,x]
F[14,x] = F[12,x]*F[15,x]
F[15,x] = F[16,x]+F[297,x]
F[16,x] = F[0,x]*F[17,x]
F[17,x] = F[18,x]+F[182,x]
F[18,x] = 1/F[12,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[26,x]
F[21,x] = F[2,x]+F[22,x]
F[22,x] = -F[2,x]+F[23,x]
F[23,x] = -F[0,x]+F[24,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[2,x]
F[26,x] = F[27,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = -F[31,x]+F[29,x]
F[29,x] = 1/F[12,x]*F[30,x]
F[30,x] = F[22,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[2,x]*F[24,x]
F[33,x] = F[34,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[271,x]+F[36,x]
F[36,x] = F[233,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = -F[230,x]+F[40,x]
F[40,x] = F[228,x]+F[41,x]
F[41,x] = -F[214,x]+F[42,x]
F[42,x] = 1/F[12,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[12,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[32,x]+F[29,x]
F[48,x] = 1/F[12,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = -F[53,x]+F[51,x]
F[51,x] = 1/F[12,x]*F[52,x]
F[52,x] = F[22,x]
F[53,x] = F[212,x]+F[54,x]
F[54,x] = -F[210,x]+F[55,x]
F[55,x] = F[56,x]+F[93,x]
F[56,x] = F[2,x]*F[57,x]
F[57,x] = F[1,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[57,x]+F[61,x]
F[61,x] = F[62,x]+F[72,x]
F[62,x] = F[63,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[1,x]+F[62,x]
F[66,x] = F[12,x]+F[67,x]
F[67,x] = F[68,x]+F[69,x]+F[70,x]
F[68,x] = 0
F[69,x] = F[12,x]*F[62,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[66,x]
F[72,x] = F[68,x]+F[73,x]+F[83,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[58,x]+F[72,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[78,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = F[58,x]+F[77,x]
F[80,x] = F[81,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[72,x]+F[80,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[85,x]+F[89,x]
F[85,x] = F[77,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[12,x]*F[88,x]
F[88,x] = F[1,x]+F[86,x]
F[89,x] = F[80,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[12,x]*F[92,x]
F[92,x] = F[62,x]+F[90,x]
F[93,x] = F[94,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[193,x]+F[96,x]
F[96,x] = F[2,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[10,x]*F[57,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[12,x]
F[101,x] = F[102,x]+F[194,x]
F[102,x] = F[0,x]*F[103,x]
F[103,x] = 1/F[12,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = -F[110,x]+F[106,x]
F[106,x] = 1/F[12,x]*F[107,x]
F[107,x] = F[108,x]
F[108,x] = -F[58,x]+F[109,x]
F[109,x] = -F[0,x]+F[10,x]
F[110,x] = -F[178,x]+F[111,x]
F[111,x] = F[112,x]+F[176,x]
F[112,x] = F[0,x]*F[113,x]
F[113,x] = F[114,x]+F[120,x]
F[114,x] = F[1,x]+F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[1,x]+F[12,x]
F[119,x] = F[12,x]
F[120,x] = F[121,x]+F[58,x]
F[121,x] = F[122,x]+F[172,x]+F[68,x]
F[122,x] = F[12,x]*F[123,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[115,x]+F[121,x]
F[125,x] = F[126,x]+F[144,x]
F[126,x] = F[127,x]+F[137,x]+F[68,x]
F[127,x] = F[12,x]*F[128,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[115,x]+F[126,x]
F[130,x] = F[131,x]+F[134,x]
F[131,x] = F[132,x]
F[132,x] = F[12,x]*F[133,x]
F[133,x] = F[115,x]+F[131,x]
F[134,x] = F[135,x]
F[135,x] = F[12,x]*F[136,x]
F[136,x] = F[126,x]+F[134,x]
F[137,x] = F[12,x]*F[138,x]
F[138,x] = F[139,x]+F[143,x]
F[139,x] = F[140,x]+F[86,x]
F[140,x] = F[141,x]
F[141,x] = F[12,x]*F[142,x]
F[142,x] = F[12,x]+F[140,x]
F[143,x] = F[140,x]
F[144,x] = F[145,x]+F[155,x]+F[159,x]+F[68,x]
F[145,x] = F[12,x]*F[146,x]
F[146,x] = F[147,x]+F[148,x]
F[147,x] = F[121,x]+F[144,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]
F[150,x] = F[12,x]*F[151,x]
F[151,x] = F[121,x]+F[149,x]
F[152,x] = F[153,x]
F[153,x] = F[12,x]*F[154,x]
F[154,x] = F[144,x]+F[152,x]
F[155,x] = F[12,x]*F[156,x]
F[156,x] = F[157,x]+F[158,x]
F[157,x] = F[131,x]+F[149,x]
F[158,x] = F[134,x]+F[152,x]
F[159,x] = F[12,x]*F[160,x]
F[160,x] = F[161,x]+F[171,x]
F[161,x] = F[162,x]+F[90,x]
F[162,x] = F[163,x]
F[163,x] = F[12,x]*F[164,x]
F[164,x] = F[162,x]+F[165,x]
F[165,x] = F[166,x]+F[170,x]+F[68,x]
F[166,x] = F[12,x]*F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[12,x]+F[165,x]
F[169,x] = F[140,x]+F[162,x]
F[170,x] = F[12,x]*F[86,x]
F[171,x] = F[162,x]
F[172,x] = F[12,x]*F[173,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[165,x]+F[62,x]
F[175,x] = F[165,x]
F[176,x] = -F[177,x]+F[106,x]
F[177,x] = F[113,x]*F[2,x]
F[178,x] = F[10,x]+F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[12,x]*F[181,x]
F[181,x] = F[18,x]+F[182,x]
F[182,x] = -F[207,x]+F[183,x]
F[183,x] = 1/F[12,x]*F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]+F[20,x]
F[186,x] = F[187,x]
F[187,x] = F[12,x]*F[188,x]
F[188,x] = F[189,x]+F[199,x]
F[189,x] = F[190,x]
F[190,x] = F[12,x]*F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[0,x]*F[10,x]
F[193,x] = 1/F[114,x]*F[194,x]
F[194,x] = -F[198,x]+F[195,x]
F[195,x] = 1/F[12,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[105,x]+F[176,x]
F[198,x] = F[103,x]*F[2,x]
F[199,x] = F[200,x]+F[23,x]
F[200,x] = -F[54,x]+F[201,x]
F[201,x] = -F[204,x]+F[202,x]
F[202,x] = 1/F[12,x]*F[203,x]
F[203,x] = F[22,x]
F[204,x] = F[205,x]
F[205,x] = 1/F[12,x]*F[206,x]
F[206,x] = F[26,x]
F[207,x] = F[18,x]+F[208,x]
F[208,x] = F[209,x]
F[209,x] = F[12,x]*F[191,x]
F[210,x] = F[211,x]
F[211,x] = F[111,x]*F[12,x]*F[2,x]
F[212,x] = F[213,x]
F[213,x] = F[12,x]*F[24,x]*F[5,x]
F[214,x] = F[215,x]
F[215,x] = F[0,x]*F[216,x]*F[217,x]
F[216,x] = F[2,x]+F[6,x]
F[217,x] = 1/F[12,x]/F[223,x]*F[218,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[12,x]*F[221,x]
F[221,x] = F[222,x]+F[224,x]
F[222,x] = F[0,x]*F[223,x]
F[223,x] = F[0,x]+F[219,x]
F[224,x] = F[225,x]
F[225,x] = F[0,x]^2*F[12,x]*F[226,x]
F[226,x] = 1/F[0,x]/F[12,x]*F[227,x]
F[227,x] = F[219,x]
F[228,x] = F[229,x]
F[229,x] = F[0,x]*F[109,x]*F[217,x]
F[230,x] = F[231,x]
F[231,x] = F[0,x]*F[217,x]*F[232,x]
F[232,x] = F[108,x]+F[2,x]
F[233,x] = F[234,x]
F[234,x] = F[0,x]*F[235,x]
F[235,x] = -F[293,x]+F[236,x]
F[236,x] = -F[239,x]+F[237,x]
F[237,x] = 1/F[12,x]*F[238,x]
F[238,x] = F[185,x]
F[239,x] = F[240,x]+F[291,x]
F[240,x] = F[241,x]+F[277,x]
F[241,x] = F[242,x]+F[265,x]
F[242,x] = F[0,x]*F[243,x]
F[243,x] = F[244,x]+F[57,x]
F[244,x] = F[245,x]
F[245,x] = F[12,x]*F[246,x]
F[246,x] = F[247,x]+F[263,x]
F[247,x] = F[243,x]+F[248,x]
F[248,x] = -F[251,x]+F[249,x]
F[249,x] = 1/F[12,x]*F[250,x]
F[250,x] = F[22,x]
F[251,x] = F[252,x]
F[252,x] = F[12,x]*F[253,x]
F[253,x] = F[254,x]+F[261,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[243,x]*F[64,x]
F[256,x] = F[257,x]
F[257,x] = F[12,x]*F[258,x]*F[65,x]*F[88,x]
F[258,x] = F[243,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[12,x]*F[253,x]
F[261,x] = F[262,x]
F[262,x] = F[12,x]*F[247,x]*F[65,x]*F[88,x]
F[263,x] = F[264,x]
F[264,x] = F[12,x]*F[247,x]*F[60,x]*F[88,x]
F[265,x] = F[266,x]
F[266,x] = F[12,x]*F[267,x]
F[267,x] = F[268,x]+F[271,x]
F[268,x] = F[269,x]+F[36,x]
F[269,x] = 1/F[12,x]*F[270,x]
F[270,x] = F[28,x]
F[271,x] = F[272,x]+F[274,x]
F[272,x] = F[273,x]
F[273,x] = F[12,x]*F[41,x]
F[274,x] = F[275,x]
F[275,x] = F[0,x]*F[276,x]
F[276,x] = -F[285,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[12,x]*F[279,x]
F[279,x] = -F[280,x]+F[269,x]
F[280,x] = -F[284,x]+F[281,x]
F[281,x] = 1/F[12,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[189,x]+F[28,x]
F[284,x] = F[217,x]*F[259,x]
F[285,x] = F[286,x]
F[286,x] = F[12,x]*F[287,x]
F[287,x] = -F[290,x]+F[288,x]
F[288,x] = 1/F[12,x]*F[289,x]
F[289,x] = F[189,x]
F[290,x] = F[216,x]*F[217,x]
F[291,x] = F[292,x]
F[292,x] = F[12,x]*F[269,x]
F[293,x] = F[294,x]
F[294,x] = F[12,x]*F[295,x]
F[295,x] = -F[296,x]+F[191,x]
F[296,x] = F[217,x]*F[232,x]
F[297,x] = F[298,x]
F[298,x] = F[191,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[12,x]*F[301,x]
F[301,x] = F[114,x]+F[302,x]
F[302,x] = F[303,x]
F[303,x] = F[12,x]*F[304,x]
F[304,x] = F[305,x]+F[306,x]
F[305,x] = F[114,x]*F[243,x]
F[306,x] = F[12,x]*F[301,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_{13}\! \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) = \frac{F_{11}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{11}\! \left(x \right) = F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{297}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{182}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{26}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{24}\! \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_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{22}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{271}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{233}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{228}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{29}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{22}\! \left(x \right)
F_{53}\! \left(x \right) = F_{212}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{210}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{93}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{1}\! \left(x \right)+F_{58}\! \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_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{72}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = 0
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{66}\! \left(x \right)
F_{72}\! \left(x \right) = F_{68}\! \left(x \right)+F_{73}\! \left(x \right)+F_{83}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{58}\! \left(x \right)+F_{72}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{58}\! \left(x \right)+F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{72}\! \left(x \right)+F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{89}\! \left(x \right)
F_{85}\! \left(x \right) = F_{77}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{1}\! \left(x \right)+F_{86}\! \left(x \right)
F_{89}\! \left(x \right) = F_{80}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{62}\! \left(x \right)+F_{90}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{193}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{2}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{10}\! \left(x \right) F_{57}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{12}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{194}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{176}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{120}\! \left(x \right)
F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{115}\! \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_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{119}\! \left(x \right) = F_{12}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{58}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{172}\! \left(x \right)+F_{68}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{115}\! \left(x \right)+F_{121}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{144}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{137}\! \left(x \right)+F_{68}\! \left(x \right)
F_{127}\! \left(x \right) = F_{12}\! \left(x \right) F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{115}\! \left(x \right)+F_{126}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{12}\! \left(x \right) F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{115}\! \left(x \right)+F_{131}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{12}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{126}\! \left(x \right)+F_{134}\! \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_{143}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{86}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{12}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{12}\! \left(x \right)+F_{140}\! \left(x \right)
F_{143}\! \left(x \right) = F_{140}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{155}\! \left(x \right)+F_{159}\! \left(x \right)+F_{68}\! \left(x \right)
F_{145}\! \left(x \right) = F_{12}\! \left(x \right) F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{147}\! \left(x \right) = F_{121}\! \left(x \right)+F_{144}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \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) = F_{121}\! \left(x \right)+F_{149}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{12}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{144}\! \left(x \right)+F_{152}\! \left(x \right)
F_{155}\! \left(x \right) = F_{12}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{158}\! \left(x \right)
F_{157}\! \left(x \right) = F_{131}\! \left(x \right)+F_{149}\! \left(x \right)
F_{158}\! \left(x \right) = F_{134}\! \left(x \right)+F_{152}\! \left(x \right)
F_{159}\! \left(x \right) = F_{12}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{171}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{90}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{12}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{162}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{170}\! \left(x \right)+F_{68}\! \left(x \right)
F_{166}\! \left(x \right) = F_{12}\! \left(x \right) F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{12}\! \left(x \right)+F_{165}\! \left(x \right)
F_{169}\! \left(x \right) = F_{140}\! \left(x \right)+F_{162}\! \left(x \right)
F_{170}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{171}\! \left(x \right) = F_{162}\! \left(x \right)
F_{172}\! \left(x \right) = F_{12}\! \left(x \right) F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{165}\! \left(x \right)+F_{62}\! \left(x \right)
F_{175}\! \left(x \right) = F_{165}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{106}\! \left(x \right)
F_{177}\! \left(x \right) = F_{113}\! \left(x \right) F_{2}\! \left(x \right)
F_{178}\! \left(x \right) = F_{10}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{12}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{18}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = \frac{F_{184}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{20}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{12}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{199}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{114}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{176}\! \left(x \right)
F_{198}\! \left(x \right) = F_{103}\! \left(x \right) F_{2}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{23}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{22}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = \frac{F_{206}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{206}\! \left(x \right) = F_{26}\! \left(x \right)
F_{207}\! \left(x \right) = F_{18}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{111}\! \left(x \right) F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{0}\! \left(x \right) F_{216}\! \left(x \right) F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{12}\! \left(x \right) F_{223}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{12}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)
F_{222}\! \left(x \right) = F_{0}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{0}\! \left(x \right)+F_{219}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{219}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{0}\! \left(x \right) F_{109}\! \left(x \right) F_{217}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{0}\! \left(x \right) F_{217}\! \left(x \right) F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{108}\! \left(x \right)+F_{2}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{239}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{185}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{291}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{277}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{265}\! \left(x \right)
F_{242}\! \left(x \right) = F_{0}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{57}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{12}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{263}\! \left(x \right)
F_{247}\! \left(x \right) = F_{243}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{22}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{12}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{261}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{243}\! \left(x \right) F_{64}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{12}\! \left(x \right) F_{258}\! \left(x \right) F_{65}\! \left(x \right) F_{88}\! \left(x \right)
F_{258}\! \left(x \right) = F_{243}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{12}\! \left(x \right) F_{253}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{12}\! \left(x \right) F_{247}\! \left(x \right) F_{65}\! \left(x \right) F_{88}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{12}\! \left(x \right) F_{247}\! \left(x \right) F_{60}\! \left(x \right) F_{88}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{12}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{271}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{36}\! \left(x \right)
F_{269}\! \left(x \right) = \frac{F_{270}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{270}\! \left(x \right) = F_{28}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{274}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{12}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{280}\! \left(x \right)+F_{269}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{28}\! \left(x \right)
F_{284}\! \left(x \right) = F_{217}\! \left(x \right) F_{259}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{12}\! \left(x \right) F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{290}\! \left(x \right)+F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = \frac{F_{289}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{289}\! \left(x \right) = F_{189}\! \left(x \right)
F_{290}\! \left(x \right) = F_{216}\! \left(x \right) F_{217}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{12}\! \left(x \right) F_{269}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{12}\! \left(x \right) F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{296}\! \left(x \right)+F_{191}\! \left(x \right)
F_{296}\! \left(x \right) = F_{217}\! \left(x \right) F_{232}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{191}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{12}\! \left(x \right) F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{114}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{12}\! \left(x \right) F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{306}\! \left(x \right)
F_{305}\! \left(x \right) = F_{114}\! \left(x \right) F_{243}\! \left(x \right)
F_{306}\! \left(x \right) = F_{12}\! \left(x \right) F_{301}\! \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_13(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_11(x)/F_12(x))
Eq(F_11(x), F_2(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_12(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_297(x))
Eq(F_16(x), F_0(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_182(x))
Eq(F_18(x), F_19(x)/F_12(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_26(x))
Eq(F_21(x), F_2(x) + F_22(x))
Eq(F_22(x), -F_2(x) + F_23(x))
Eq(F_23(x), -F_0(x) + F_24(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_2(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) - F_31(x))
Eq(F_29(x), F_30(x)/F_12(x))
Eq(F_30(x), F_22(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_2(x)*F_24(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_271(x) + F_36(x))
Eq(F_36(x), F_233(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), -F_230(x) + F_40(x))
Eq(F_40(x), F_228(x) + F_41(x))
Eq(F_41(x), -F_214(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_12(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_12(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_29(x) - F_32(x))
Eq(F_48(x), F_49(x)/F_12(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_51(x) - F_53(x))
Eq(F_51(x), F_52(x)/F_12(x))
Eq(F_52(x), F_22(x))
Eq(F_53(x), F_212(x) + F_54(x))
Eq(F_54(x), -F_210(x) + F_55(x))
Eq(F_55(x), F_56(x) + F_93(x))
Eq(F_56(x), F_2(x)*F_57(x))
Eq(F_57(x), F_1(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_57(x) + F_61(x))
Eq(F_61(x), F_62(x) + F_72(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_1(x) + F_62(x))
Eq(F_66(x), F_12(x) + F_67(x))
Eq(F_67(x), F_68(x) + F_69(x) + F_70(x))
Eq(F_68(x), 0)
Eq(F_69(x), F_12(x)*F_62(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_66(x))
Eq(F_72(x), F_68(x) + F_73(x) + F_83(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_58(x) + F_72(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), F_58(x) + F_77(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_72(x) + F_80(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_89(x))
Eq(F_85(x), F_77(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_12(x)*F_88(x))
Eq(F_88(x), F_1(x) + F_86(x))
Eq(F_89(x), F_80(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_12(x)*F_92(x))
Eq(F_92(x), F_62(x) + F_90(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_193(x) + F_96(x))
Eq(F_96(x), F_2(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_10(x)*F_57(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_12(x))
Eq(F_101(x), F_102(x) + F_194(x))
Eq(F_102(x), F_0(x)*F_103(x))
Eq(F_103(x), F_104(x)/F_12(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_110(x))
Eq(F_106(x), F_107(x)/F_12(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x) - F_58(x))
Eq(F_109(x), -F_0(x) + F_10(x))
Eq(F_110(x), F_111(x) - F_178(x))
Eq(F_111(x), F_112(x) + F_176(x))
Eq(F_112(x), F_0(x)*F_113(x))
Eq(F_113(x), F_114(x) + F_120(x))
Eq(F_114(x), F_1(x) + F_115(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_119(x))
Eq(F_118(x), F_1(x) + F_12(x))
Eq(F_119(x), F_12(x))
Eq(F_120(x), F_121(x) + F_58(x))
Eq(F_121(x), F_122(x) + F_172(x) + F_68(x))
Eq(F_122(x), F_12(x)*F_123(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_115(x) + F_121(x))
Eq(F_125(x), F_126(x) + F_144(x))
Eq(F_126(x), F_127(x) + F_137(x) + F_68(x))
Eq(F_127(x), F_12(x)*F_128(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_115(x) + F_126(x))
Eq(F_130(x), F_131(x) + F_134(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_12(x)*F_133(x))
Eq(F_133(x), F_115(x) + F_131(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_12(x)*F_136(x))
Eq(F_136(x), F_126(x) + F_134(x))
Eq(F_137(x), F_12(x)*F_138(x))
Eq(F_138(x), F_139(x) + F_143(x))
Eq(F_139(x), F_140(x) + F_86(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_12(x)*F_142(x))
Eq(F_142(x), F_12(x) + F_140(x))
Eq(F_143(x), F_140(x))
Eq(F_144(x), F_145(x) + F_155(x) + F_159(x) + F_68(x))
Eq(F_145(x), F_12(x)*F_146(x))
Eq(F_146(x), F_147(x) + F_148(x))
Eq(F_147(x), F_121(x) + F_144(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_12(x)*F_151(x))
Eq(F_151(x), F_121(x) + F_149(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_12(x)*F_154(x))
Eq(F_154(x), F_144(x) + F_152(x))
Eq(F_155(x), F_12(x)*F_156(x))
Eq(F_156(x), F_157(x) + F_158(x))
Eq(F_157(x), F_131(x) + F_149(x))
Eq(F_158(x), F_134(x) + F_152(x))
Eq(F_159(x), F_12(x)*F_160(x))
Eq(F_160(x), F_161(x) + F_171(x))
Eq(F_161(x), F_162(x) + F_90(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_12(x)*F_164(x))
Eq(F_164(x), F_162(x) + F_165(x))
Eq(F_165(x), F_166(x) + F_170(x) + F_68(x))
Eq(F_166(x), F_12(x)*F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_12(x) + F_165(x))
Eq(F_169(x), F_140(x) + F_162(x))
Eq(F_170(x), F_12(x)*F_86(x))
Eq(F_171(x), F_162(x))
Eq(F_172(x), F_12(x)*F_173(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_165(x) + F_62(x))
Eq(F_175(x), F_165(x))
Eq(F_176(x), F_106(x) - F_177(x))
Eq(F_177(x), F_113(x)*F_2(x))
Eq(F_178(x), F_10(x) + F_179(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_12(x)*F_181(x))
Eq(F_181(x), F_18(x) + F_182(x))
Eq(F_182(x), F_183(x) - F_207(x))
Eq(F_183(x), F_184(x)/F_12(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x) + F_20(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_12(x)*F_188(x))
Eq(F_188(x), F_189(x) + F_199(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_12(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_0(x)*F_10(x))
Eq(F_193(x), F_194(x)/F_114(x))
Eq(F_194(x), F_195(x) - F_198(x))
Eq(F_195(x), F_196(x)/F_12(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), -F_105(x) + F_176(x))
Eq(F_198(x), F_103(x)*F_2(x))
Eq(F_199(x), F_200(x) + F_23(x))
Eq(F_200(x), F_201(x) - F_54(x))
Eq(F_201(x), F_202(x) - F_204(x))
Eq(F_202(x), F_203(x)/F_12(x))
Eq(F_203(x), F_22(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_206(x)/F_12(x))
Eq(F_206(x), F_26(x))
Eq(F_207(x), F_18(x) + F_208(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_12(x)*F_191(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_111(x)*F_12(x)*F_2(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_12(x)*F_24(x)*F_5(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_0(x)*F_216(x)*F_217(x))
Eq(F_216(x), F_2(x) + F_6(x))
Eq(F_217(x), F_218(x)/(F_12(x)*F_223(x)))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_12(x)*F_221(x))
Eq(F_221(x), F_222(x) + F_224(x))
Eq(F_222(x), F_0(x)*F_223(x))
Eq(F_223(x), F_0(x) + F_219(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_0(x)**2*F_12(x)*F_226(x))
Eq(F_226(x), F_227(x)/(F_0(x)*F_12(x)))
Eq(F_227(x), F_219(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_0(x)*F_109(x)*F_217(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_0(x)*F_217(x)*F_232(x))
Eq(F_232(x), F_108(x) + F_2(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_0(x)*F_235(x))
Eq(F_235(x), F_236(x) - F_293(x))
Eq(F_236(x), F_237(x) - F_239(x))
Eq(F_237(x), F_238(x)/F_12(x))
Eq(F_238(x), F_185(x))
Eq(F_239(x), F_240(x) + F_291(x))
Eq(F_240(x), F_241(x) + F_277(x))
Eq(F_241(x), F_242(x) + F_265(x))
Eq(F_242(x), F_0(x)*F_243(x))
Eq(F_243(x), F_244(x) + F_57(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_12(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_263(x))
Eq(F_247(x), F_243(x) + F_248(x))
Eq(F_248(x), F_249(x) - F_251(x))
Eq(F_249(x), F_250(x)/F_12(x))
Eq(F_250(x), F_22(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_12(x)*F_253(x))
Eq(F_253(x), F_254(x) + F_261(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_243(x)*F_64(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_12(x)*F_258(x)*F_65(x)*F_88(x))
Eq(F_258(x), F_243(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_12(x)*F_253(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_12(x)*F_247(x)*F_65(x)*F_88(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_12(x)*F_247(x)*F_60(x)*F_88(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_12(x)*F_267(x))
Eq(F_267(x), F_268(x) + F_271(x))
Eq(F_268(x), F_269(x) + F_36(x))
Eq(F_269(x), F_270(x)/F_12(x))
Eq(F_270(x), F_28(x))
Eq(F_271(x), F_272(x) + F_274(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_12(x)*F_41(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_0(x)*F_276(x))
Eq(F_276(x), F_277(x) - F_285(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_12(x)*F_279(x))
Eq(F_279(x), F_269(x) - F_280(x))
Eq(F_280(x), F_281(x) - F_284(x))
Eq(F_281(x), F_282(x)/F_12(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), -F_189(x) + F_28(x))
Eq(F_284(x), F_217(x)*F_259(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_12(x)*F_287(x))
Eq(F_287(x), F_288(x) - F_290(x))
Eq(F_288(x), F_289(x)/F_12(x))
Eq(F_289(x), F_189(x))
Eq(F_290(x), F_216(x)*F_217(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_12(x)*F_269(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_12(x)*F_295(x))
Eq(F_295(x), F_191(x) - F_296(x))
Eq(F_296(x), F_217(x)*F_232(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_191(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_12(x)*F_301(x))
Eq(F_301(x), F_114(x) + F_302(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_12(x)*F_304(x))
Eq(F_304(x), F_305(x) + F_306(x))
Eq(F_305(x), F_114(x)*F_243(x))
Eq(F_306(x), F_12(x)*F_301(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, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 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, 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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 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, 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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 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": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": 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"requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "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": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 3], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 3], [1, 3], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 3], [1, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}], "indices": [0, 0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24811/
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[13,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = 1/F[12,x]*F[11,x]
F[11,x] = F[2,x]
F[12,x] = x
F[13,x] = F[14,x]
F[14,x] = F[12,x]*F[15,x]
F[15,x] = F[16,x]+F[297,x]
F[16,x] = F[0,x]*F[17,x]
F[17,x] = F[18,x]+F[182,x]
F[18,x] = 1/F[12,x]*F[19,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]+F[26,x]
F[21,x] = F[2,x]+F[22,x]
F[22,x] = -F[2,x]+F[23,x]
F[23,x] = -F[0,x]+F[24,x]
F[24,x] = 1/F[12,x]*F[25,x]
F[25,x] = F[2,x]
F[26,x] = F[27,x]
F[27,x] = F[12,x]*F[28,x]
F[28,x] = -F[31,x]+F[29,x]
F[29,x] = 1/F[12,x]*F[30,x]
F[30,x] = F[22,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[2,x]*F[24,x]
F[33,x] = F[34,x]
F[34,x] = F[12,x]*F[35,x]
F[35,x] = F[271,x]+F[36,x]
F[36,x] = F[233,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[12,x]*F[39,x]
F[39,x] = -F[230,x]+F[40,x]
F[40,x] = F[228,x]+F[41,x]
F[41,x] = -F[214,x]+F[42,x]
F[42,x] = 1/F[12,x]*F[43,x]
F[43,x] = F[44,x]
F[44,x] = -F[48,x]+F[45,x]
F[45,x] = 1/F[12,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[32,x]+F[29,x]
F[48,x] = 1/F[12,x]*F[49,x]
F[49,x] = F[50,x]
F[50,x] = -F[53,x]+F[51,x]
F[51,x] = 1/F[12,x]*F[52,x]
F[52,x] = F[22,x]
F[53,x] = F[212,x]+F[54,x]
F[54,x] = -F[210,x]+F[55,x]
F[55,x] = F[56,x]+F[93,x]
F[56,x] = F[2,x]*F[57,x]
F[57,x] = F[1,x]+F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[12,x]*F[60,x]
F[60,x] = F[57,x]+F[61,x]
F[61,x] = F[62,x]+F[72,x]
F[62,x] = F[63,x]
F[63,x] = F[12,x]*F[64,x]
F[64,x] = F[65,x]+F[66,x]
F[65,x] = F[1,x]+F[62,x]
F[66,x] = F[12,x]+F[67,x]
F[67,x] = F[68,x]+F[69,x]+F[70,x]
F[68,x] = 0
F[69,x] = F[12,x]*F[62,x]
F[70,x] = F[12,x]*F[71,x]
F[71,x] = F[66,x]
F[72,x] = F[68,x]+F[73,x]+F[83,x]
F[73,x] = F[12,x]*F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[58,x]+F[72,x]
F[76,x] = F[77,x]+F[80,x]
F[77,x] = F[78,x]
F[78,x] = F[12,x]*F[79,x]
F[79,x] = F[58,x]+F[77,x]
F[80,x] = F[81,x]
F[81,x] = F[12,x]*F[82,x]
F[82,x] = F[72,x]+F[80,x]
F[83,x] = F[12,x]*F[84,x]
F[84,x] = F[85,x]+F[89,x]
F[85,x] = F[77,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[12,x]*F[88,x]
F[88,x] = F[1,x]+F[86,x]
F[89,x] = F[80,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[12,x]*F[92,x]
F[92,x] = F[62,x]+F[90,x]
F[93,x] = F[94,x]
F[94,x] = F[12,x]*F[95,x]
F[95,x] = F[193,x]+F[96,x]
F[96,x] = F[2,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[10,x]*F[57,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[12,x]
F[101,x] = F[102,x]+F[194,x]
F[102,x] = F[0,x]*F[103,x]
F[103,x] = 1/F[12,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = -F[110,x]+F[106,x]
F[106,x] = 1/F[12,x]*F[107,x]
F[107,x] = F[108,x]
F[108,x] = -F[58,x]+F[109,x]
F[109,x] = -F[0,x]+F[10,x]
F[110,x] = -F[178,x]+F[111,x]
F[111,x] = F[112,x]+F[176,x]
F[112,x] = F[0,x]*F[113,x]
F[113,x] = F[114,x]+F[120,x]
F[114,x] = F[1,x]+F[115,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[1,x]+F[12,x]
F[119,x] = F[12,x]
F[120,x] = F[121,x]+F[58,x]
F[121,x] = F[122,x]+F[172,x]+F[68,x]
F[122,x] = F[12,x]*F[123,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[115,x]+F[121,x]
F[125,x] = F[126,x]+F[144,x]
F[126,x] = F[127,x]+F[137,x]+F[68,x]
F[127,x] = F[12,x]*F[128,x]
F[128,x] = F[129,x]+F[130,x]
F[129,x] = F[115,x]+F[126,x]
F[130,x] = F[131,x]+F[134,x]
F[131,x] = F[132,x]
F[132,x] = F[12,x]*F[133,x]
F[133,x] = F[115,x]+F[131,x]
F[134,x] = F[135,x]
F[135,x] = F[12,x]*F[136,x]
F[136,x] = F[126,x]+F[134,x]
F[137,x] = F[12,x]*F[138,x]
F[138,x] = F[139,x]+F[143,x]
F[139,x] = F[140,x]+F[86,x]
F[140,x] = F[141,x]
F[141,x] = F[12,x]*F[142,x]
F[142,x] = F[12,x]+F[140,x]
F[143,x] = F[140,x]
F[144,x] = F[145,x]+F[155,x]+F[159,x]+F[68,x]
F[145,x] = F[12,x]*F[146,x]
F[146,x] = F[147,x]+F[148,x]
F[147,x] = F[121,x]+F[144,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]
F[150,x] = F[12,x]*F[151,x]
F[151,x] = F[121,x]+F[149,x]
F[152,x] = F[153,x]
F[153,x] = F[12,x]*F[154,x]
F[154,x] = F[144,x]+F[152,x]
F[155,x] = F[12,x]*F[156,x]
F[156,x] = F[157,x]+F[158,x]
F[157,x] = F[131,x]+F[149,x]
F[158,x] = F[134,x]+F[152,x]
F[159,x] = F[12,x]*F[160,x]
F[160,x] = F[161,x]+F[171,x]
F[161,x] = F[162,x]+F[90,x]
F[162,x] = F[163,x]
F[163,x] = F[12,x]*F[164,x]
F[164,x] = F[162,x]+F[165,x]
F[165,x] = F[166,x]+F[170,x]+F[68,x]
F[166,x] = F[12,x]*F[167,x]
F[167,x] = F[168,x]+F[169,x]
F[168,x] = F[12,x]+F[165,x]
F[169,x] = F[140,x]+F[162,x]
F[170,x] = F[12,x]*F[86,x]
F[171,x] = F[162,x]
F[172,x] = F[12,x]*F[173,x]
F[173,x] = F[174,x]+F[175,x]
F[174,x] = F[165,x]+F[62,x]
F[175,x] = F[165,x]
F[176,x] = -F[177,x]+F[106,x]
F[177,x] = F[113,x]*F[2,x]
F[178,x] = F[10,x]+F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[12,x]*F[181,x]
F[181,x] = F[18,x]+F[182,x]
F[182,x] = -F[207,x]+F[183,x]
F[183,x] = 1/F[12,x]*F[184,x]
F[184,x] = F[185,x]
F[185,x] = F[186,x]+F[20,x]
F[186,x] = F[187,x]
F[187,x] = F[12,x]*F[188,x]
F[188,x] = F[189,x]+F[199,x]
F[189,x] = F[190,x]
F[190,x] = F[12,x]*F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[0,x]*F[10,x]
F[193,x] = 1/F[114,x]*F[194,x]
F[194,x] = -F[198,x]+F[195,x]
F[195,x] = 1/F[12,x]*F[196,x]
F[196,x] = F[197,x]
F[197,x] = -F[105,x]+F[176,x]
F[198,x] = F[103,x]*F[2,x]
F[199,x] = F[200,x]+F[23,x]
F[200,x] = -F[54,x]+F[201,x]
F[201,x] = -F[204,x]+F[202,x]
F[202,x] = 1/F[12,x]*F[203,x]
F[203,x] = F[22,x]
F[204,x] = F[205,x]
F[205,x] = 1/F[12,x]*F[206,x]
F[206,x] = F[26,x]
F[207,x] = F[18,x]+F[208,x]
F[208,x] = F[209,x]
F[209,x] = F[12,x]*F[191,x]
F[210,x] = F[211,x]
F[211,x] = F[111,x]*F[12,x]*F[2,x]
F[212,x] = F[213,x]
F[213,x] = F[12,x]*F[24,x]*F[5,x]
F[214,x] = F[215,x]
F[215,x] = F[0,x]*F[216,x]*F[217,x]
F[216,x] = F[2,x]+F[6,x]
F[217,x] = 1/F[12,x]/F[223,x]*F[218,x]
F[218,x] = F[219,x]
F[219,x] = F[220,x]
F[220,x] = F[12,x]*F[221,x]
F[221,x] = F[222,x]+F[224,x]
F[222,x] = F[0,x]*F[223,x]
F[223,x] = F[0,x]+F[219,x]
F[224,x] = F[225,x]
F[225,x] = F[0,x]^2*F[12,x]*F[226,x]
F[226,x] = 1/F[0,x]/F[12,x]*F[227,x]
F[227,x] = F[219,x]
F[228,x] = F[229,x]
F[229,x] = F[0,x]*F[109,x]*F[217,x]
F[230,x] = F[231,x]
F[231,x] = F[0,x]*F[217,x]*F[232,x]
F[232,x] = F[108,x]+F[2,x]
F[233,x] = F[234,x]
F[234,x] = F[0,x]*F[235,x]
F[235,x] = -F[293,x]+F[236,x]
F[236,x] = -F[239,x]+F[237,x]
F[237,x] = 1/F[12,x]*F[238,x]
F[238,x] = F[185,x]
F[239,x] = F[240,x]+F[291,x]
F[240,x] = F[241,x]+F[277,x]
F[241,x] = F[242,x]+F[265,x]
F[242,x] = F[0,x]*F[243,x]
F[243,x] = F[244,x]+F[57,x]
F[244,x] = F[245,x]
F[245,x] = F[12,x]*F[246,x]
F[246,x] = F[247,x]+F[263,x]
F[247,x] = F[243,x]+F[248,x]
F[248,x] = -F[251,x]+F[249,x]
F[249,x] = 1/F[12,x]*F[250,x]
F[250,x] = F[22,x]
F[251,x] = F[252,x]
F[252,x] = F[12,x]*F[253,x]
F[253,x] = F[254,x]+F[261,x]
F[254,x] = F[255,x]+F[256,x]
F[255,x] = F[243,x]*F[64,x]
F[256,x] = F[257,x]
F[257,x] = F[12,x]*F[258,x]*F[65,x]*F[88,x]
F[258,x] = F[243,x]+F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[12,x]*F[253,x]
F[261,x] = F[262,x]
F[262,x] = F[12,x]*F[247,x]*F[65,x]*F[88,x]
F[263,x] = F[264,x]
F[264,x] = F[12,x]*F[247,x]*F[60,x]*F[88,x]
F[265,x] = F[266,x]
F[266,x] = F[12,x]*F[267,x]
F[267,x] = F[268,x]+F[271,x]
F[268,x] = F[269,x]+F[36,x]
F[269,x] = 1/F[12,x]*F[270,x]
F[270,x] = F[28,x]
F[271,x] = F[272,x]+F[274,x]
F[272,x] = F[273,x]
F[273,x] = F[12,x]*F[41,x]
F[274,x] = F[275,x]
F[275,x] = F[0,x]*F[276,x]
F[276,x] = -F[285,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[12,x]*F[279,x]
F[279,x] = -F[280,x]+F[269,x]
F[280,x] = -F[284,x]+F[281,x]
F[281,x] = 1/F[12,x]*F[282,x]
F[282,x] = F[283,x]
F[283,x] = -F[189,x]+F[28,x]
F[284,x] = F[217,x]*F[259,x]
F[285,x] = F[286,x]
F[286,x] = F[12,x]*F[287,x]
F[287,x] = -F[290,x]+F[288,x]
F[288,x] = 1/F[12,x]*F[289,x]
F[289,x] = F[189,x]
F[290,x] = F[216,x]*F[217,x]
F[291,x] = F[292,x]
F[292,x] = F[12,x]*F[269,x]
F[293,x] = F[294,x]
F[294,x] = F[12,x]*F[295,x]
F[295,x] = -F[296,x]+F[191,x]
F[296,x] = F[217,x]*F[232,x]
F[297,x] = F[298,x]
F[298,x] = F[191,x]*F[299,x]
F[299,x] = F[300,x]
F[300,x] = F[12,x]*F[301,x]
F[301,x] = F[114,x]+F[302,x]
F[302,x] = F[303,x]
F[303,x] = F[12,x]*F[304,x]
F[304,x] = F[305,x]+F[306,x]
F[305,x] = F[114,x]*F[243,x]
F[306,x] = F[12,x]*F[301,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_{13}\! \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) = \frac{F_{11}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{11}\! \left(x \right) = F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{297}\! \left(x \right)
F_{16}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{182}\! \left(x \right)
F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{26}\! \left(x \right)
F_{21}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{24}\! \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_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{12}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{22}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{2}\! \left(x \right) F_{24}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{12}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{271}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{233}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{12}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = -F_{230}\! \left(x \right)+F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{228}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{48}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{32}\! \left(x \right)+F_{29}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{52}\! \left(x \right) = F_{22}\! \left(x \right)
F_{53}\! \left(x \right) = F_{212}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = -F_{210}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{93}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{1}\! \left(x \right)+F_{58}\! \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_{57}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{72}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{12}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{66}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{62}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = 0
F_{69}\! \left(x \right) = F_{12}\! \left(x \right) F_{62}\! \left(x \right)
F_{70}\! \left(x \right) = F_{12}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{66}\! \left(x \right)
F_{72}\! \left(x \right) = F_{68}\! \left(x \right)+F_{73}\! \left(x \right)+F_{83}\! \left(x \right)
F_{73}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{58}\! \left(x \right)+F_{72}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{12}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{58}\! \left(x \right)+F_{77}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{12}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{72}\! \left(x \right)+F_{80}\! \left(x \right)
F_{83}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{89}\! \left(x \right)
F_{85}\! \left(x \right) = F_{77}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{12}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{1}\! \left(x \right)+F_{86}\! \left(x \right)
F_{89}\! \left(x \right) = F_{80}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{12}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{62}\! \left(x \right)+F_{90}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{12}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{193}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{2}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{10}\! \left(x \right) F_{57}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{12}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{194}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = -F_{110}\! \left(x \right)+F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{178}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{176}\! \left(x \right)
F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{120}\! \left(x \right)
F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{115}\! \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_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{119}\! \left(x \right) = F_{12}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{58}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{172}\! \left(x \right)+F_{68}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{115}\! \left(x \right)+F_{121}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{144}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{137}\! \left(x \right)+F_{68}\! \left(x \right)
F_{127}\! \left(x \right) = F_{12}\! \left(x \right) F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{130}\! \left(x \right)
F_{129}\! \left(x \right) = F_{115}\! \left(x \right)+F_{126}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{12}\! \left(x \right) F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{115}\! \left(x \right)+F_{131}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{12}\! \left(x \right) F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{126}\! \left(x \right)+F_{134}\! \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_{143}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{86}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{12}\! \left(x \right) F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{12}\! \left(x \right)+F_{140}\! \left(x \right)
F_{143}\! \left(x \right) = F_{140}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{155}\! \left(x \right)+F_{159}\! \left(x \right)+F_{68}\! \left(x \right)
F_{145}\! \left(x \right) = F_{12}\! \left(x \right) F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{147}\! \left(x \right) = F_{121}\! \left(x \right)+F_{144}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \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) = F_{121}\! \left(x \right)+F_{149}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{12}\! \left(x \right) F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{144}\! \left(x \right)+F_{152}\! \left(x \right)
F_{155}\! \left(x \right) = F_{12}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{158}\! \left(x \right)
F_{157}\! \left(x \right) = F_{131}\! \left(x \right)+F_{149}\! \left(x \right)
F_{158}\! \left(x \right) = F_{134}\! \left(x \right)+F_{152}\! \left(x \right)
F_{159}\! \left(x \right) = F_{12}\! \left(x \right) F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{171}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{90}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{12}\! \left(x \right) F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{162}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{170}\! \left(x \right)+F_{68}\! \left(x \right)
F_{166}\! \left(x \right) = F_{12}\! \left(x \right) F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{12}\! \left(x \right)+F_{165}\! \left(x \right)
F_{169}\! \left(x \right) = F_{140}\! \left(x \right)+F_{162}\! \left(x \right)
F_{170}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{171}\! \left(x \right) = F_{162}\! \left(x \right)
F_{172}\! \left(x \right) = F_{12}\! \left(x \right) F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{175}\! \left(x \right)
F_{174}\! \left(x \right) = F_{165}\! \left(x \right)+F_{62}\! \left(x \right)
F_{175}\! \left(x \right) = F_{165}\! \left(x \right)
F_{176}\! \left(x \right) = -F_{177}\! \left(x \right)+F_{106}\! \left(x \right)
F_{177}\! \left(x \right) = F_{113}\! \left(x \right) F_{2}\! \left(x \right)
F_{178}\! \left(x \right) = F_{10}\! \left(x \right)+F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{12}\! \left(x \right) F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{18}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = -F_{207}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = \frac{F_{184}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{20}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{12}\! \left(x \right) F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{199}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{193}\! \left(x \right) = \frac{F_{194}\! \left(x \right)}{F_{114}\! \left(x \right)}
F_{194}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{105}\! \left(x \right)+F_{176}\! \left(x \right)
F_{198}\! \left(x \right) = F_{103}\! \left(x \right) F_{2}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)+F_{23}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = -F_{204}\! \left(x \right)+F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{203}\! \left(x \right) = F_{22}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = \frac{F_{206}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{206}\! \left(x \right) = F_{26}\! \left(x \right)
F_{207}\! \left(x \right) = F_{18}\! \left(x \right)+F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{12}\! \left(x \right) F_{191}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{111}\! \left(x \right) F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right) F_{5}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{0}\! \left(x \right) F_{216}\! \left(x \right) F_{217}\! \left(x \right)
F_{216}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{12}\! \left(x \right) F_{223}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{12}\! \left(x \right) F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{224}\! \left(x \right)
F_{222}\! \left(x \right) = F_{0}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{0}\! \left(x \right)+F_{219}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{12}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{0}\! \left(x \right) F_{12}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{219}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{0}\! \left(x \right) F_{109}\! \left(x \right) F_{217}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{0}\! \left(x \right) F_{217}\! \left(x \right) F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{108}\! \left(x \right)+F_{2}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = -F_{293}\! \left(x \right)+F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{239}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{185}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{291}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{277}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{265}\! \left(x \right)
F_{242}\! \left(x \right) = F_{0}\! \left(x \right) F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)+F_{57}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = F_{12}\! \left(x \right) F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)+F_{263}\! \left(x \right)
F_{247}\! \left(x \right) = F_{243}\! \left(x \right)+F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{22}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{12}\! \left(x \right) F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)+F_{261}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{243}\! \left(x \right) F_{64}\! \left(x \right)
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = F_{12}\! \left(x \right) F_{258}\! \left(x \right) F_{65}\! \left(x \right) F_{88}\! \left(x \right)
F_{258}\! \left(x \right) = F_{243}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{12}\! \left(x \right) F_{253}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{12}\! \left(x \right) F_{247}\! \left(x \right) F_{65}\! \left(x \right) F_{88}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{12}\! \left(x \right) F_{247}\! \left(x \right) F_{60}\! \left(x \right) F_{88}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{12}\! \left(x \right) F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)+F_{271}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)+F_{36}\! \left(x \right)
F_{269}\! \left(x \right) = \frac{F_{270}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{270}\! \left(x \right) = F_{28}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{274}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = F_{12}\! \left(x \right) F_{41}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{0}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{12}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = -F_{280}\! \left(x \right)+F_{269}\! \left(x \right)
F_{280}\! \left(x \right) = -F_{284}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = \frac{F_{282}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{189}\! \left(x \right)+F_{28}\! \left(x \right)
F_{284}\! \left(x \right) = F_{217}\! \left(x \right) F_{259}\! \left(x \right)
F_{285}\! \left(x \right) = F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{12}\! \left(x \right) F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = -F_{290}\! \left(x \right)+F_{288}\! \left(x \right)
F_{288}\! \left(x \right) = \frac{F_{289}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{289}\! \left(x \right) = F_{189}\! \left(x \right)
F_{290}\! \left(x \right) = F_{216}\! \left(x \right) F_{217}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{12}\! \left(x \right) F_{269}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{12}\! \left(x \right) F_{295}\! \left(x \right)
F_{295}\! \left(x \right) = -F_{296}\! \left(x \right)+F_{191}\! \left(x \right)
F_{296}\! \left(x \right) = F_{217}\! \left(x \right) F_{232}\! \left(x \right)
F_{297}\! \left(x \right) = F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{191}\! \left(x \right) F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{12}\! \left(x \right) F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{114}\! \left(x \right)+F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{12}\! \left(x \right) F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)+F_{306}\! \left(x \right)
F_{305}\! \left(x \right) = F_{114}\! \left(x \right) F_{243}\! \left(x \right)
F_{306}\! \left(x \right) = F_{12}\! \left(x \right) F_{301}\! \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_13(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_11(x)/F_12(x))
Eq(F_11(x), F_2(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_12(x)*F_15(x))
Eq(F_15(x), F_16(x) + F_297(x))
Eq(F_16(x), F_0(x)*F_17(x))
Eq(F_17(x), F_18(x) + F_182(x))
Eq(F_18(x), F_19(x)/F_12(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x) + F_26(x))
Eq(F_21(x), F_2(x) + F_22(x))
Eq(F_22(x), -F_2(x) + F_23(x))
Eq(F_23(x), -F_0(x) + F_24(x))
Eq(F_24(x), F_25(x)/F_12(x))
Eq(F_25(x), F_2(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_12(x)*F_28(x))
Eq(F_28(x), F_29(x) - F_31(x))
Eq(F_29(x), F_30(x)/F_12(x))
Eq(F_30(x), F_22(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_2(x)*F_24(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_12(x)*F_35(x))
Eq(F_35(x), F_271(x) + F_36(x))
Eq(F_36(x), F_233(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_12(x)*F_39(x))
Eq(F_39(x), -F_230(x) + F_40(x))
Eq(F_40(x), F_228(x) + F_41(x))
Eq(F_41(x), -F_214(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_12(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_45(x) - F_48(x))
Eq(F_45(x), F_46(x)/F_12(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_29(x) - F_32(x))
Eq(F_48(x), F_49(x)/F_12(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_51(x) - F_53(x))
Eq(F_51(x), F_52(x)/F_12(x))
Eq(F_52(x), F_22(x))
Eq(F_53(x), F_212(x) + F_54(x))
Eq(F_54(x), -F_210(x) + F_55(x))
Eq(F_55(x), F_56(x) + F_93(x))
Eq(F_56(x), F_2(x)*F_57(x))
Eq(F_57(x), F_1(x) + F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_12(x)*F_60(x))
Eq(F_60(x), F_57(x) + F_61(x))
Eq(F_61(x), F_62(x) + F_72(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_12(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_66(x))
Eq(F_65(x), F_1(x) + F_62(x))
Eq(F_66(x), F_12(x) + F_67(x))
Eq(F_67(x), F_68(x) + F_69(x) + F_70(x))
Eq(F_68(x), 0)
Eq(F_69(x), F_12(x)*F_62(x))
Eq(F_70(x), F_12(x)*F_71(x))
Eq(F_71(x), F_66(x))
Eq(F_72(x), F_68(x) + F_73(x) + F_83(x))
Eq(F_73(x), F_12(x)*F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_58(x) + F_72(x))
Eq(F_76(x), F_77(x) + F_80(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_12(x)*F_79(x))
Eq(F_79(x), F_58(x) + F_77(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_12(x)*F_82(x))
Eq(F_82(x), F_72(x) + F_80(x))
Eq(F_83(x), F_12(x)*F_84(x))
Eq(F_84(x), F_85(x) + F_89(x))
Eq(F_85(x), F_77(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_12(x)*F_88(x))
Eq(F_88(x), F_1(x) + F_86(x))
Eq(F_89(x), F_80(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_12(x)*F_92(x))
Eq(F_92(x), F_62(x) + F_90(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_12(x)*F_95(x))
Eq(F_95(x), F_193(x) + F_96(x))
Eq(F_96(x), F_2(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_10(x)*F_57(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_12(x))
Eq(F_101(x), F_102(x) + F_194(x))
Eq(F_102(x), F_0(x)*F_103(x))
Eq(F_103(x), F_104(x)/F_12(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x) - F_110(x))
Eq(F_106(x), F_107(x)/F_12(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x) - F_58(x))
Eq(F_109(x), -F_0(x) + F_10(x))
Eq(F_110(x), F_111(x) - F_178(x))
Eq(F_111(x), F_112(x) + F_176(x))
Eq(F_112(x), F_0(x)*F_113(x))
Eq(F_113(x), F_114(x) + F_120(x))
Eq(F_114(x), F_1(x) + F_115(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_119(x))
Eq(F_118(x), F_1(x) + F_12(x))
Eq(F_119(x), F_12(x))
Eq(F_120(x), F_121(x) + F_58(x))
Eq(F_121(x), F_122(x) + F_172(x) + F_68(x))
Eq(F_122(x), F_12(x)*F_123(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_115(x) + F_121(x))
Eq(F_125(x), F_126(x) + F_144(x))
Eq(F_126(x), F_127(x) + F_137(x) + F_68(x))
Eq(F_127(x), F_12(x)*F_128(x))
Eq(F_128(x), F_129(x) + F_130(x))
Eq(F_129(x), F_115(x) + F_126(x))
Eq(F_130(x), F_131(x) + F_134(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_12(x)*F_133(x))
Eq(F_133(x), F_115(x) + F_131(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_12(x)*F_136(x))
Eq(F_136(x), F_126(x) + F_134(x))
Eq(F_137(x), F_12(x)*F_138(x))
Eq(F_138(x), F_139(x) + F_143(x))
Eq(F_139(x), F_140(x) + F_86(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_12(x)*F_142(x))
Eq(F_142(x), F_12(x) + F_140(x))
Eq(F_143(x), F_140(x))
Eq(F_144(x), F_145(x) + F_155(x) + F_159(x) + F_68(x))
Eq(F_145(x), F_12(x)*F_146(x))
Eq(F_146(x), F_147(x) + F_148(x))
Eq(F_147(x), F_121(x) + F_144(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_12(x)*F_151(x))
Eq(F_151(x), F_121(x) + F_149(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_12(x)*F_154(x))
Eq(F_154(x), F_144(x) + F_152(x))
Eq(F_155(x), F_12(x)*F_156(x))
Eq(F_156(x), F_157(x) + F_158(x))
Eq(F_157(x), F_131(x) + F_149(x))
Eq(F_158(x), F_134(x) + F_152(x))
Eq(F_159(x), F_12(x)*F_160(x))
Eq(F_160(x), F_161(x) + F_171(x))
Eq(F_161(x), F_162(x) + F_90(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_12(x)*F_164(x))
Eq(F_164(x), F_162(x) + F_165(x))
Eq(F_165(x), F_166(x) + F_170(x) + F_68(x))
Eq(F_166(x), F_12(x)*F_167(x))
Eq(F_167(x), F_168(x) + F_169(x))
Eq(F_168(x), F_12(x) + F_165(x))
Eq(F_169(x), F_140(x) + F_162(x))
Eq(F_170(x), F_12(x)*F_86(x))
Eq(F_171(x), F_162(x))
Eq(F_172(x), F_12(x)*F_173(x))
Eq(F_173(x), F_174(x) + F_175(x))
Eq(F_174(x), F_165(x) + F_62(x))
Eq(F_175(x), F_165(x))
Eq(F_176(x), F_106(x) - F_177(x))
Eq(F_177(x), F_113(x)*F_2(x))
Eq(F_178(x), F_10(x) + F_179(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_12(x)*F_181(x))
Eq(F_181(x), F_18(x) + F_182(x))
Eq(F_182(x), F_183(x) - F_207(x))
Eq(F_183(x), F_184(x)/F_12(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_186(x) + F_20(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_12(x)*F_188(x))
Eq(F_188(x), F_189(x) + F_199(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_12(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_0(x)*F_10(x))
Eq(F_193(x), F_194(x)/F_114(x))
Eq(F_194(x), F_195(x) - F_198(x))
Eq(F_195(x), F_196(x)/F_12(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), -F_105(x) + F_176(x))
Eq(F_198(x), F_103(x)*F_2(x))
Eq(F_199(x), F_200(x) + F_23(x))
Eq(F_200(x), F_201(x) - F_54(x))
Eq(F_201(x), F_202(x) - F_204(x))
Eq(F_202(x), F_203(x)/F_12(x))
Eq(F_203(x), F_22(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_206(x)/F_12(x))
Eq(F_206(x), F_26(x))
Eq(F_207(x), F_18(x) + F_208(x))
Eq(F_208(x), F_209(x))
Eq(F_209(x), F_12(x)*F_191(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_111(x)*F_12(x)*F_2(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_12(x)*F_24(x)*F_5(x))
Eq(F_214(x), F_215(x))
Eq(F_215(x), F_0(x)*F_216(x)*F_217(x))
Eq(F_216(x), F_2(x) + F_6(x))
Eq(F_217(x), F_218(x)/(F_12(x)*F_223(x)))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_12(x)*F_221(x))
Eq(F_221(x), F_222(x) + F_224(x))
Eq(F_222(x), F_0(x)*F_223(x))
Eq(F_223(x), F_0(x) + F_219(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_0(x)**2*F_12(x)*F_226(x))
Eq(F_226(x), F_227(x)/(F_0(x)*F_12(x)))
Eq(F_227(x), F_219(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_0(x)*F_109(x)*F_217(x))
Eq(F_230(x), F_231(x))
Eq(F_231(x), F_0(x)*F_217(x)*F_232(x))
Eq(F_232(x), F_108(x) + F_2(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_0(x)*F_235(x))
Eq(F_235(x), F_236(x) - F_293(x))
Eq(F_236(x), F_237(x) - F_239(x))
Eq(F_237(x), F_238(x)/F_12(x))
Eq(F_238(x), F_185(x))
Eq(F_239(x), F_240(x) + F_291(x))
Eq(F_240(x), F_241(x) + F_277(x))
Eq(F_241(x), F_242(x) + F_265(x))
Eq(F_242(x), F_0(x)*F_243(x))
Eq(F_243(x), F_244(x) + F_57(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_12(x)*F_246(x))
Eq(F_246(x), F_247(x) + F_263(x))
Eq(F_247(x), F_243(x) + F_248(x))
Eq(F_248(x), F_249(x) - F_251(x))
Eq(F_249(x), F_250(x)/F_12(x))
Eq(F_250(x), F_22(x))
Eq(F_251(x), F_252(x))
Eq(F_252(x), F_12(x)*F_253(x))
Eq(F_253(x), F_254(x) + F_261(x))
Eq(F_254(x), F_255(x) + F_256(x))
Eq(F_255(x), F_243(x)*F_64(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_12(x)*F_258(x)*F_65(x)*F_88(x))
Eq(F_258(x), F_243(x) + F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_12(x)*F_253(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_12(x)*F_247(x)*F_65(x)*F_88(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_12(x)*F_247(x)*F_60(x)*F_88(x))
Eq(F_265(x), F_266(x))
Eq(F_266(x), F_12(x)*F_267(x))
Eq(F_267(x), F_268(x) + F_271(x))
Eq(F_268(x), F_269(x) + F_36(x))
Eq(F_269(x), F_270(x)/F_12(x))
Eq(F_270(x), F_28(x))
Eq(F_271(x), F_272(x) + F_274(x))
Eq(F_272(x), F_273(x))
Eq(F_273(x), F_12(x)*F_41(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_0(x)*F_276(x))
Eq(F_276(x), F_277(x) - F_285(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_12(x)*F_279(x))
Eq(F_279(x), F_269(x) - F_280(x))
Eq(F_280(x), F_281(x) - F_284(x))
Eq(F_281(x), F_282(x)/F_12(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), -F_189(x) + F_28(x))
Eq(F_284(x), F_217(x)*F_259(x))
Eq(F_285(x), F_286(x))
Eq(F_286(x), F_12(x)*F_287(x))
Eq(F_287(x), F_288(x) - F_290(x))
Eq(F_288(x), F_289(x)/F_12(x))
Eq(F_289(x), F_189(x))
Eq(F_290(x), F_216(x)*F_217(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_12(x)*F_269(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_12(x)*F_295(x))
Eq(F_295(x), F_191(x) - F_296(x))
Eq(F_296(x), F_217(x)*F_232(x))
Eq(F_297(x), F_298(x))
Eq(F_298(x), F_191(x)*F_299(x))
Eq(F_299(x), F_300(x))
Eq(F_300(x), F_12(x)*F_301(x))
Eq(F_301(x), F_114(x) + F_302(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_12(x)*F_304(x))
Eq(F_304(x), F_305(x) + F_306(x))
Eq(F_305(x), F_114(x)*F_243(x))
Eq(F_306(x), F_12(x)*F_301(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, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 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, 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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 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, 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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 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": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 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": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], 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3], [1, 3], [1, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}], "indices": [0, 0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/24954/
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[17,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[17,x]*F[8,x]
F[8,x] = F[210,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[17,x]
F[11,x] = F[12,x]+F[78,x]
F[12,x] = F[13,x]*F[76,x]
F[13,x] = F[14,x]+F[51,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[18,x]
F[17,x] = x
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]+F[30,x]
F[20,x] = F[21,x]
F[21,x] = F[17,x]*F[22,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[1,x]+F[20,x]
F[24,x] = F[17,x]+F[25,x]
F[25,x] = F[26,x]+F[27,x]+F[28,x]
F[26,x] = 0
F[27,x] = F[17,x]*F[20,x]
F[28,x] = F[17,x]*F[29,x]
F[29,x] = F[24,x]
F[30,x] = F[26,x]+F[31,x]+F[41,x]
F[31,x] = F[17,x]*F[32,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[15,x]+F[30,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[36,x]
F[36,x] = F[17,x]*F[37,x]
F[37,x] = F[15,x]+F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[17,x]*F[40,x]
F[40,x] = F[30,x]+F[38,x]
F[41,x] = F[17,x]*F[42,x]
F[42,x] = F[43,x]+F[47,x]
F[43,x] = F[35,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[17,x]*F[46,x]
F[46,x] = F[1,x]+F[44,x]
F[47,x] = F[38,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[17,x]*F[50,x]
F[50,x] = F[20,x]+F[48,x]
F[51,x] = F[52,x]
F[52,x] = F[17,x]*F[53,x]
F[53,x] = F[54,x]+F[74,x]
F[54,x] = F[13,x]+F[55,x]
F[55,x] = -F[62,x]+F[56,x]
F[56,x] = 1/F[17,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[2,x]+F[59,x]
F[59,x] = -F[0,x]+F[60,x]
F[60,x] = 1/F[17,x]*F[61,x]
F[61,x] = F[2,x]
F[62,x] = F[63,x]
F[63,x] = F[17,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[13,x]*F[22,x]
F[67,x] = F[68,x]
F[68,x] = F[17,x]*F[23,x]*F[46,x]*F[69,x]
F[69,x] = F[13,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[17,x]*F[64,x]
F[72,x] = F[73,x]
F[73,x] = F[17,x]*F[23,x]*F[46,x]*F[54,x]
F[74,x] = F[75,x]
F[75,x] = F[17,x]*F[18,x]*F[46,x]*F[54,x]
F[76,x] = 1/F[17,x]*F[77,x]
F[77,x] = F[2,x]
F[78,x] = F[79,x]*F[91,x]
F[79,x] = F[80,x]+F[86,x]
F[80,x] = F[1,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[17,x]*F[83,x]
F[83,x] = F[84,x]+F[85,x]
F[84,x] = F[1,x]+F[17,x]
F[85,x] = F[17,x]
F[86,x] = F[87,x]
F[87,x] = F[17,x]*F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[13,x]*F[80,x]
F[90,x] = F[17,x]*F[79,x]
F[91,x] = F[92,x]
F[92,x] = F[17,x]*F[93,x]
F[93,x] = F[209,x]+F[94,x]
F[94,x] = -F[197,x]+F[95,x]
F[95,x] = 1/F[17,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[0,x]+F[98,x]
F[98,x] = F[0,x]+F[99,x]
F[99,x] = -F[195,x]+F[100,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[14,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[17,x]
F[104,x] = F[105,x]+F[194,x]
F[105,x] = 1/F[80,x]*F[106,x]
F[106,x] = -F[136,x]+F[107,x]
F[107,x] = 1/F[17,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[135,x]+F[110,x]
F[110,x] = -F[115,x]+F[111,x]
F[111,x] = 1/F[17,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[2,x]+F[114,x]
F[114,x] = -F[14,x]+F[76,x]
F[115,x] = F[116,x]
F[116,x] = F[0,x]*F[117,x]*F[17,x]
F[117,x] = 1/F[17,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[122,x]+F[120,x]
F[120,x] = 1/F[17,x]*F[121,x]
F[121,x] = F[113,x]
F[122,x] = -F[126,x]+F[123,x]
F[123,x] = 1/F[17,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[113,x]+F[15,x]
F[126,x] = F[127,x]+F[76,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[17,x]*F[129,x]
F[129,x] = F[6,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[17,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[126,x]*F[13,x]
F[134,x] = F[78,x]
F[135,x] = F[0,x]*F[15,x]
F[136,x] = F[137,x]*F[59,x]
F[137,x] = F[138,x]+F[80,x]
F[138,x] = F[139,x]+F[15,x]
F[139,x] = F[140,x]+F[190,x]+F[26,x]
F[140,x] = F[141,x]*F[17,x]
F[141,x] = F[142,x]+F[143,x]
F[142,x] = F[139,x]+F[81,x]
F[143,x] = F[144,x]+F[162,x]
F[144,x] = F[145,x]+F[155,x]+F[26,x]
F[145,x] = F[146,x]*F[17,x]
F[146,x] = F[147,x]+F[148,x]
F[147,x] = F[144,x]+F[81,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[17,x]
F[151,x] = F[149,x]+F[81,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[17,x]
F[154,x] = F[144,x]+F[152,x]
F[155,x] = F[156,x]*F[17,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[158,x]+F[44,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[17,x]
F[160,x] = F[158,x]+F[17,x]
F[161,x] = F[158,x]
F[162,x] = F[163,x]+F[173,x]+F[177,x]+F[26,x]
F[163,x] = F[164,x]*F[17,x]
F[164,x] = F[165,x]+F[166,x]
F[165,x] = F[139,x]+F[162,x]
F[166,x] = F[167,x]+F[170,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[17,x]
F[169,x] = F[139,x]+F[167,x]
F[170,x] = F[171,x]
F[171,x] = F[17,x]*F[172,x]
F[172,x] = F[162,x]+F[170,x]
F[173,x] = F[17,x]*F[174,x]
F[174,x] = F[175,x]+F[176,x]
F[175,x] = F[149,x]+F[167,x]
F[176,x] = F[152,x]+F[170,x]
F[177,x] = F[17,x]*F[178,x]
F[178,x] = F[179,x]+F[189,x]
F[179,x] = F[180,x]+F[48,x]
F[180,x] = F[181,x]
F[181,x] = F[17,x]*F[182,x]
F[182,x] = F[180,x]+F[183,x]
F[183,x] = F[184,x]+F[188,x]+F[26,x]
F[184,x] = F[17,x]*F[185,x]
F[185,x] = F[186,x]+F[187,x]
F[186,x] = F[17,x]+F[183,x]
F[187,x] = F[158,x]+F[180,x]
F[188,x] = F[17,x]*F[44,x]
F[189,x] = F[180,x]
F[190,x] = F[17,x]*F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[183,x]+F[20,x]
F[193,x] = F[183,x]
F[194,x] = F[114,x]*F[60,x]
F[195,x] = F[196,x]
F[196,x] = F[123,x]*F[17,x]*F[2,x]
F[197,x] = F[198,x]*F[5,x]
F[198,x] = 1/F[17,x]/F[204,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[17,x]*F[202,x]
F[202,x] = F[203,x]+F[205,x]
F[203,x] = F[0,x]*F[204,x]
F[204,x] = F[0,x]+F[200,x]
F[205,x] = F[206,x]
F[206,x] = F[0,x]^2*F[17,x]*F[207,x]
F[207,x] = 1/F[0,x]/F[17,x]*F[208,x]
F[208,x] = F[200,x]
F[209,x] = F[125,x]*F[198,x]
F[210,x] = F[211,x]+F[304,x]
F[211,x] = F[212,x]+F[59,x]
F[212,x] = F[213,x]
F[213,x] = F[17,x]*F[214,x]
F[214,x] = F[215,x]+F[59,x]
F[215,x] = -F[99,x]+F[216,x]
F[216,x] = -F[219,x]+F[217,x]
F[217,x] = 1/F[17,x]*F[218,x]
F[218,x] = F[58,x]
F[219,x] = F[220,x]
F[220,x] = 1/F[17,x]*F[221,x]
F[221,x] = F[222,x]
F[222,x] = F[223,x]
F[223,x] = F[17,x]*F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[17,x]*F[226,x]
F[226,x] = 1/F[17,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = -F[231,x]+F[229,x]
F[229,x] = 1/F[17,x]*F[230,x]
F[230,x] = F[58,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[2,x]*F[60,x]
F[233,x] = F[234,x]
F[234,x] = F[17,x]*F[235,x]
F[235,x] = F[236,x]+F[272,x]
F[236,x] = F[237,x]+F[259,x]
F[237,x] = F[238,x]
F[238,x] = F[17,x]*F[239,x]
F[239,x] = -F[257,x]+F[240,x]
F[240,x] = 1/F[17,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[246,x]+F[243,x]
F[243,x] = 1/F[17,x]*F[244,x]
F[244,x] = F[245,x]
F[245,x] = -F[232,x]+F[229,x]
F[246,x] = 1/F[17,x]*F[247,x]
F[247,x] = F[248,x]
F[248,x] = -F[251,x]+F[249,x]
F[249,x] = 1/F[17,x]*F[250,x]
F[250,x] = F[58,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[0,x]*F[2,x]
F[253,x] = F[254,x]
F[254,x] = F[17,x]*F[255,x]
F[255,x] = F[105,x]+F[256,x]
F[256,x] = F[5,x]*F[60,x]
F[257,x] = F[258,x]
F[258,x] = F[0,x]*F[198,x]*F[5,x]
F[259,x] = F[260,x]
F[260,x] = F[0,x]*F[261,x]
F[261,x] = -F[270,x]+F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[17,x]*F[264,x]
F[264,x] = -F[265,x]+F[226,x]
F[265,x] = -F[269,x]+F[266,x]
F[266,x] = 1/F[17,x]*F[267,x]
F[267,x] = F[268,x]
F[268,x] = -F[97,x]+F[228,x]
F[269,x] = F[198,x]*F[70,x]
F[270,x] = F[271,x]
F[271,x] = F[17,x]*F[94,x]
F[272,x] = F[273,x]+F[281,x]
F[273,x] = F[274,x]
F[274,x] = F[17,x]*F[275,x]
F[275,x] = -F[279,x]+F[276,x]
F[276,x] = F[239,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[0,x]*F[125,x]*F[198,x]
F[279,x] = F[280,x]
F[280,x] = F[0,x]*F[114,x]*F[198,x]
F[281,x] = F[282,x]
F[282,x] = F[0,x]*F[283,x]
F[283,x] = -F[300,x]+F[284,x]
F[284,x] = -F[292,x]+F[285,x]
F[285,x] = 1/F[17,x]*F[286,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]+F[289,x]
F[288,x] = F[222,x]+F[59,x]
F[289,x] = F[290,x]
F[290,x] = F[17,x]*F[291,x]
F[291,x] = F[214,x]+F[97,x]
F[292,x] = F[224,x]+F[293,x]
F[293,x] = F[262,x]+F[294,x]
F[294,x] = F[295,x]+F[296,x]
F[295,x] = F[0,x]*F[13,x]
F[296,x] = F[297,x]
F[297,x] = F[17,x]*F[298,x]
F[298,x] = F[272,x]+F[299,x]
F[299,x] = F[226,x]+F[236,x]
F[300,x] = F[301,x]
F[301,x] = F[17,x]*F[302,x]
F[302,x] = -F[303,x]+F[93,x]
F[303,x] = F[114,x]*F[198,x]
F[304,x] = F[305,x]
F[305,x] = F[17,x]*F[306,x]
F[306,x] = F[307,x]+F[310,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[4,x]*F[59,x]
F[309,x] = F[0,x]*F[228,x]
F[310,x] = F[212,x]*F[4,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_{17}\! \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_{17}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{210}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{78}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{51}\! \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_{17}\! \left(x \right) F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{30}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{28}\! \left(x \right) = F_{17}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{24}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)+F_{41}\! \left(x \right)
F_{31}\! \left(x \right) = F_{17}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right)+F_{30}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{17}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{30}\! \left(x \right)+F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{43}\! \left(x \right) = F_{35}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{17}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{47}\! \left(x \right) = F_{38}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{17}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{20}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{17}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{74}\! \left(x \right)
F_{54}\! \left(x \right) = F_{13}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{2}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{46}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{13}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{46}\! \left(x \right) F_{54}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{46}\! \left(x \right) F_{54}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{2}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right) F_{91}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{86}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{17}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{85}\! \left(x \right) = F_{17}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{17}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{13}\! \left(x \right) F_{80}\! \left(x \right)
F_{90}\! \left(x \right) = F_{17}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{17}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{209}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{14}\! \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_{17}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{194}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{80}\! \left(x \right)}
F_{106}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{76}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right) F_{117}\! \left(x \right) F_{17}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{113}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{113}\! \left(x \right)+F_{15}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{76}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{6}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{17}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{126}\! \left(x \right) F_{13}\! \left(x \right)
F_{134}\! \left(x \right) = F_{78}\! \left(x \right)
F_{135}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{59}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{80}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{15}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{190}\! \left(x \right)+F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{17}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{139}\! \left(x \right)+F_{81}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{162}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{155}\! \left(x \right)+F_{26}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{17}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{147}\! \left(x \right) = F_{144}\! \left(x \right)+F_{81}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{17}\! \left(x \right)
F_{151}\! \left(x \right) = F_{149}\! \left(x \right)+F_{81}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{17}\! \left(x \right)
F_{154}\! \left(x \right) = F_{144}\! \left(x \right)+F_{152}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{17}\! \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_{44}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{17}\! \left(x \right)
F_{160}\! \left(x \right) = F_{158}\! \left(x \right)+F_{17}\! \left(x \right)
F_{161}\! \left(x \right) = F_{158}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{173}\! \left(x \right)+F_{177}\! \left(x \right)+F_{26}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{17}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{166}\! \left(x \right)
F_{165}\! \left(x \right) = F_{139}\! \left(x \right)+F_{162}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{170}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{17}\! \left(x \right)
F_{169}\! \left(x \right) = F_{139}\! \left(x \right)+F_{167}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{17}\! \left(x \right) F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{162}\! \left(x \right)+F_{170}\! \left(x \right)
F_{173}\! \left(x \right) = F_{17}\! \left(x \right) F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{176}\! \left(x \right)
F_{175}\! \left(x \right) = F_{149}\! \left(x \right)+F_{167}\! \left(x \right)
F_{176}\! \left(x \right) = F_{152}\! \left(x \right)+F_{170}\! \left(x \right)
F_{177}\! \left(x \right) = F_{17}\! \left(x \right) F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{189}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{48}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{17}\! \left(x \right) F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{180}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{188}\! \left(x \right)+F_{26}\! \left(x \right)
F_{184}\! \left(x \right) = F_{17}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)
F_{186}\! \left(x \right) = F_{17}\! \left(x \right)+F_{183}\! \left(x \right)
F_{187}\! \left(x \right) = F_{158}\! \left(x \right)+F_{180}\! \left(x \right)
F_{188}\! \left(x \right) = F_{17}\! \left(x \right) F_{44}\! \left(x \right)
F_{189}\! \left(x \right) = F_{180}\! \left(x \right)
F_{190}\! \left(x \right) = F_{17}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{183}\! \left(x \right)+F_{20}\! \left(x \right)
F_{193}\! \left(x \right) = F_{183}\! \left(x \right)
F_{194}\! \left(x \right) = F_{114}\! \left(x \right) F_{60}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{123}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{17}\! \left(x \right) F_{204}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{17}\! \left(x \right) F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{205}\! \left(x \right)
F_{203}\! \left(x \right) = F_{0}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right)+F_{200}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{17}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = \frac{F_{208}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{208}\! \left(x \right) = F_{200}\! \left(x \right)
F_{209}\! \left(x \right) = F_{125}\! \left(x \right) F_{198}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{304}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{59}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{17}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{59}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = -F_{219}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{58}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{17}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{17}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{58}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{2}\! \left(x \right) F_{60}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{17}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{272}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{259}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{17}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{229}\! \left(x \right)
F_{246}\! \left(x \right) = \frac{F_{247}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{58}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{17}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{105}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{5}\! \left(x \right) F_{60}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{0}\! \left(x \right) F_{198}\! \left(x \right) F_{5}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = -F_{270}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{17}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{226}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{269}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{228}\! \left(x \right)
F_{269}\! \left(x \right) = F_{198}\! \left(x \right) F_{70}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{281}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{17}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = -F_{279}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{239}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{0}\! \left(x \right) F_{125}\! \left(x \right) F_{198}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{0}\! \left(x \right) F_{114}\! \left(x \right) F_{198}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{0}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{300}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{292}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = \frac{F_{286}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{289}\! \left(x \right)
F_{288}\! \left(x \right) = F_{222}\! \left(x \right)+F_{59}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{17}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{214}\! \left(x \right)+F_{97}\! \left(x \right)
F_{292}\! \left(x \right) = F_{224}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{262}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{296}\! \left(x \right)
F_{295}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{17}\! \left(x \right) F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{272}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{226}\! \left(x \right)+F_{236}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{17}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = -F_{303}\! \left(x \right)+F_{93}\! \left(x \right)
F_{303}\! \left(x \right) = F_{114}\! \left(x \right) F_{198}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{17}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{310}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{309}\! \left(x \right) = F_{0}\! \left(x \right) F_{228}\! \left(x \right)
F_{310}\! \left(x \right) = F_{212}\! \left(x \right) F_{4}\! \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_17(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_17(x)*F_8(x))
Eq(F_8(x), F_210(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_17(x))
Eq(F_11(x), F_12(x) + F_78(x))
Eq(F_12(x), F_13(x)*F_76(x))
Eq(F_13(x), F_14(x) + F_51(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_18(x))
Eq(F_17(x), x)
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x) + F_30(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_17(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_24(x))
Eq(F_23(x), F_1(x) + F_20(x))
Eq(F_24(x), F_17(x) + F_25(x))
Eq(F_25(x), F_26(x) + F_27(x) + F_28(x))
Eq(F_26(x), 0)
Eq(F_27(x), F_17(x)*F_20(x))
Eq(F_28(x), F_17(x)*F_29(x))
Eq(F_29(x), F_24(x))
Eq(F_30(x), F_26(x) + F_31(x) + F_41(x))
Eq(F_31(x), F_17(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_15(x) + F_30(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_17(x)*F_37(x))
Eq(F_37(x), F_15(x) + F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_17(x)*F_40(x))
Eq(F_40(x), F_30(x) + F_38(x))
Eq(F_41(x), F_17(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_47(x))
Eq(F_43(x), F_35(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_17(x)*F_46(x))
Eq(F_46(x), F_1(x) + F_44(x))
Eq(F_47(x), F_38(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_17(x)*F_50(x))
Eq(F_50(x), F_20(x) + F_48(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_17(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_74(x))
Eq(F_54(x), F_13(x) + F_55(x))
Eq(F_55(x), F_56(x) - F_62(x))
Eq(F_56(x), F_57(x)/F_17(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), -F_2(x) + F_59(x))
Eq(F_59(x), -F_0(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_17(x))
Eq(F_61(x), F_2(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_17(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_13(x)*F_22(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_17(x)*F_23(x)*F_46(x)*F_69(x))
Eq(F_69(x), F_13(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_17(x)*F_64(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_17(x)*F_23(x)*F_46(x)*F_54(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_17(x)*F_18(x)*F_46(x)*F_54(x))
Eq(F_76(x), F_77(x)/F_17(x))
Eq(F_77(x), F_2(x))
Eq(F_78(x), F_79(x)*F_91(x))
Eq(F_79(x), F_80(x) + F_86(x))
Eq(F_80(x), F_1(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_17(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_85(x))
Eq(F_84(x), F_1(x) + F_17(x))
Eq(F_85(x), F_17(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_17(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_13(x)*F_80(x))
Eq(F_90(x), F_17(x)*F_79(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_17(x)*F_93(x))
Eq(F_93(x), F_209(x) + F_94(x))
Eq(F_94(x), -F_197(x) + F_95(x))
Eq(F_95(x), F_96(x)/F_17(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), -F_0(x) + F_98(x))
Eq(F_98(x), F_0(x) + F_99(x))
Eq(F_99(x), F_100(x) - F_195(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_14(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_17(x))
Eq(F_104(x), F_105(x) + F_194(x))
Eq(F_105(x), F_106(x)/F_80(x))
Eq(F_106(x), F_107(x) - F_136(x))
Eq(F_107(x), F_108(x)/F_17(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_135(x))
Eq(F_110(x), F_111(x) - F_115(x))
Eq(F_111(x), F_112(x)/F_17(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) - F_2(x))
Eq(F_114(x), -F_14(x) + F_76(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_0(x)*F_117(x)*F_17(x))
Eq(F_117(x), F_118(x)/F_17(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_122(x))
Eq(F_120(x), F_121(x)/F_17(x))
Eq(F_121(x), F_113(x))
Eq(F_122(x), F_123(x) - F_126(x))
Eq(F_123(x), F_124(x)/F_17(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_113(x) + F_15(x))
Eq(F_126(x), F_127(x) + F_76(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_17(x))
Eq(F_129(x), F_6(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_17(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_126(x)*F_13(x))
Eq(F_134(x), F_78(x))
Eq(F_135(x), F_0(x)*F_15(x))
Eq(F_136(x), F_137(x)*F_59(x))
Eq(F_137(x), F_138(x) + F_80(x))
Eq(F_138(x), F_139(x) + F_15(x))
Eq(F_139(x), F_140(x) + F_190(x) + F_26(x))
Eq(F_140(x), F_141(x)*F_17(x))
Eq(F_141(x), F_142(x) + F_143(x))
Eq(F_142(x), F_139(x) + F_81(x))
Eq(F_143(x), F_144(x) + F_162(x))
Eq(F_144(x), F_145(x) + F_155(x) + F_26(x))
Eq(F_145(x), F_146(x)*F_17(x))
Eq(F_146(x), F_147(x) + F_148(x))
Eq(F_147(x), F_144(x) + F_81(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_17(x))
Eq(F_151(x), F_149(x) + F_81(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_17(x))
Eq(F_154(x), F_144(x) + F_152(x))
Eq(F_155(x), F_156(x)*F_17(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_158(x) + F_44(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_17(x))
Eq(F_160(x), F_158(x) + F_17(x))
Eq(F_161(x), F_158(x))
Eq(F_162(x), F_163(x) + F_173(x) + F_177(x) + F_26(x))
Eq(F_163(x), F_164(x)*F_17(x))
Eq(F_164(x), F_165(x) + F_166(x))
Eq(F_165(x), F_139(x) + F_162(x))
Eq(F_166(x), F_167(x) + F_170(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_17(x))
Eq(F_169(x), F_139(x) + F_167(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_17(x)*F_172(x))
Eq(F_172(x), F_162(x) + F_170(x))
Eq(F_173(x), F_17(x)*F_174(x))
Eq(F_174(x), F_175(x) + F_176(x))
Eq(F_175(x), F_149(x) + F_167(x))
Eq(F_176(x), F_152(x) + F_170(x))
Eq(F_177(x), F_17(x)*F_178(x))
Eq(F_178(x), F_179(x) + F_189(x))
Eq(F_179(x), F_180(x) + F_48(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_17(x)*F_182(x))
Eq(F_182(x), F_180(x) + F_183(x))
Eq(F_183(x), F_184(x) + F_188(x) + F_26(x))
Eq(F_184(x), F_17(x)*F_185(x))
Eq(F_185(x), F_186(x) + F_187(x))
Eq(F_186(x), F_17(x) + F_183(x))
Eq(F_187(x), F_158(x) + F_180(x))
Eq(F_188(x), F_17(x)*F_44(x))
Eq(F_189(x), F_180(x))
Eq(F_190(x), F_17(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_183(x) + F_20(x))
Eq(F_193(x), F_183(x))
Eq(F_194(x), F_114(x)*F_60(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_123(x)*F_17(x)*F_2(x))
Eq(F_197(x), F_198(x)*F_5(x))
Eq(F_198(x), F_199(x)/(F_17(x)*F_204(x)))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_17(x)*F_202(x))
Eq(F_202(x), F_203(x) + F_205(x))
Eq(F_203(x), F_0(x)*F_204(x))
Eq(F_204(x), F_0(x) + F_200(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_0(x)**2*F_17(x)*F_207(x))
Eq(F_207(x), F_208(x)/(F_0(x)*F_17(x)))
Eq(F_208(x), F_200(x))
Eq(F_209(x), F_125(x)*F_198(x))
Eq(F_210(x), F_211(x) + F_304(x))
Eq(F_211(x), F_212(x) + F_59(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_17(x)*F_214(x))
Eq(F_214(x), F_215(x) + F_59(x))
Eq(F_215(x), F_216(x) - F_99(x))
Eq(F_216(x), F_217(x) - F_219(x))
Eq(F_217(x), F_218(x)/F_17(x))
Eq(F_218(x), F_58(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_221(x)/F_17(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_17(x)*F_224(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_17(x)*F_226(x))
Eq(F_226(x), F_227(x)/F_17(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) - F_231(x))
Eq(F_229(x), F_230(x)/F_17(x))
Eq(F_230(x), F_58(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_2(x)*F_60(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_17(x)*F_235(x))
Eq(F_235(x), F_236(x) + F_272(x))
Eq(F_236(x), F_237(x) + F_259(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_17(x)*F_239(x))
Eq(F_239(x), F_240(x) - F_257(x))
Eq(F_240(x), F_241(x)/F_17(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_246(x))
Eq(F_243(x), F_244(x)/F_17(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_229(x) - F_232(x))
Eq(F_246(x), F_247(x)/F_17(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x) - F_251(x))
Eq(F_249(x), F_250(x)/F_17(x))
Eq(F_250(x), F_58(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_0(x)*F_2(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_17(x)*F_255(x))
Eq(F_255(x), F_105(x) + F_256(x))
Eq(F_256(x), F_5(x)*F_60(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_0(x)*F_198(x)*F_5(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_0(x)*F_261(x))
Eq(F_261(x), F_262(x) - F_270(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_17(x)*F_264(x))
Eq(F_264(x), F_226(x) - F_265(x))
Eq(F_265(x), F_266(x) - F_269(x))
Eq(F_266(x), F_267(x)/F_17(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_228(x) - F_97(x))
Eq(F_269(x), F_198(x)*F_70(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_17(x)*F_94(x))
Eq(F_272(x), F_273(x) + F_281(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_17(x)*F_275(x))
Eq(F_275(x), F_276(x) - F_279(x))
Eq(F_276(x), F_239(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_0(x)*F_125(x)*F_198(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_0(x)*F_114(x)*F_198(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_0(x)*F_283(x))
Eq(F_283(x), F_284(x) - F_300(x))
Eq(F_284(x), F_285(x) - F_292(x))
Eq(F_285(x), F_286(x)/F_17(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x) + F_289(x))
Eq(F_288(x), F_222(x) + F_59(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_17(x)*F_291(x))
Eq(F_291(x), F_214(x) + F_97(x))
Eq(F_292(x), F_224(x) + F_293(x))
Eq(F_293(x), F_262(x) + F_294(x))
Eq(F_294(x), F_295(x) + F_296(x))
Eq(F_295(x), F_0(x)*F_13(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_17(x)*F_298(x))
Eq(F_298(x), F_272(x) + F_299(x))
Eq(F_299(x), F_226(x) + F_236(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_17(x)*F_302(x))
Eq(F_302(x), -F_303(x) + F_93(x))
Eq(F_303(x), F_114(x)*F_198(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_17(x)*F_306(x))
Eq(F_306(x), F_307(x) + F_310(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_4(x)*F_59(x))
Eq(F_309(x), F_0(x)*F_228(x))
Eq(F_310(x), F_212(x)*F_4(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, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 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, 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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 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, 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, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 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": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": 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1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 2, 3, 0], "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, 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]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 1], [0, 1]]}, {"patt": [2, 1, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 2, 1, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "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": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 1]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 2], [1, 3], [1, 2]]}, {"patt": [1, 2, 0], "pos": [[1, 3], [1, 3], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 2], [1, 2]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 3], [1, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 1, 2, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}], [{"patt": [0], "pos": [[1, 3]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}], "indices": [0, 0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://permpal.com/tree/25375/
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[18,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[18,x]*F[8,x]
F[8,x] = F[107,x]+F[9,x]
F[9,x] = F[10,x]*F[2,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[106,x]+F[12,x]+F[13,x]
F[12,x] = 0
F[13,x] = F[14,x]*F[18,x]
F[14,x] = -F[4,x]+F[15,x]
F[15,x] = 1/F[18,x]*F[16,x]
F[16,x] = -F[1,x]-F[17,x]+F[4,x]
F[17,x] = F[18,x]*F[19,x]
F[18,x] = x
F[19,x] = F[10,x]+F[20,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x,1]
F[22,x,k[0]] = F[11,x]+F[23,x,k[0]]
F[23,x,k[0]] = k[0]*F[24,x]
F[24,x] = -F[26,x]+F[25,x]
F[25,x] = F[11,x]
F[26,x] = F[105,x]+F[12,x]+F[27,x]
F[27,x] = F[18,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[18,x]*F[30,x]
F[30,x] = F[31,x]+F[32,x]
F[31,x] = F[0,x]*F[10,x]
F[32,x] = -F[104,x]+F[33,x]
F[33,x] = 1/F[18,x]*F[34,x]
F[34,x] = F[35,x]
F[35,x] = -F[102,x]-F[2,x]+F[36,x]
F[36,x] = F[100,x]+F[2,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[18,x]*F[39,x]
F[39,x] = F[40,x]+F[64,x]
F[40,x] = F[2,x]*F[41,x]
F[41,x] = 1/F[18,x]*F[42,x]
F[42,x] = -F[1,x]-F[43,x]+F[4,x]
F[43,x] = F[18,x]*F[44,x]
F[44,x] = F[4,x]+F[45,x]
F[45,x] = F[46,x]
F[46,x] = F[18,x]*F[47,x]
F[47,x] = F[48,x]+F[54,x]
F[48,x] = F[0,x]*F[49,x]
F[49,x] = F[50,x,1]
F[50,x,k[0]] = F[51,x,k[0]]+F[53,x,k[0]]
F[51,x,k[0]] = F[10,x]+F[52,x,k[0]]
F[52,x,k[0]] = k[0]*F[25,x]
F[53,x,k[0]] = F[52,x,k[0]]
F[54,x] = F[10,x]*F[55,x]
F[55,x] = F[12,x]+F[56,x]+F[57,x]
F[56,x] = F[0,x]*F[18,x]
F[57,x] = F[18,x]*F[58,x]
F[58,x] = F[12,x]+F[59,x]+F[61,x]+F[63,x]
F[59,x] = F[18,x]*F[60,x]
F[60,x] = F[0,x]+F[55,x]
F[61,x] = F[62,x]
F[62,x] = F[18,x]^2*F[0,x]
F[63,x] = F[62,x]
F[64,x] = 1/F[94,x]*F[65,x]
F[65,x] = F[66,x]
F[66,x] = -F[89,x]+F[67,x]
F[67,x] = 1/F[18,x]*F[68,x]
F[68,x] = F[69,x]
F[69,x] = -F[2,x]-F[74,x]-F[86,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[18,x]*F[72,x]
F[72,x] = 1/F[18,x]*F[73,x]
F[73,x] = F[14,x]
F[74,x] = F[75,x]
F[75,x] = F[18,x]*F[2,x]*F[76,x]
F[76,x] = F[19,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[79,x,1]
F[79,x,k[0]] = F[20,x]+F[80,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]*F[85,x,k[0]]
F[82,x,k[0]] = F[83,x]
F[83,x] = 1/F[18,x]*F[84,x]
F[84,x] = F[24,x]
F[85,x,k[0]] = k[0]*x
F[86,x] = F[87,x]
F[87,x] = F[88,x,1]
F[88,x,k[0]] = F[2,x]*F[50,x,k[0]]*F[85,x,k[0]]
F[89,x] = F[2,x]*F[90,x]
F[90,x] = 1/F[18,x]*F[91,x]
F[91,x] = -F[1,x]-F[92,x]-F[93,x]+F[19,x]
F[92,x] = F[18,x]*F[76,x]
F[93,x] = F[18,x]*F[49,x]
F[94,x] = F[1,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[18,x]*F[97,x]
F[97,x] = F[98,x]+F[99,x]
F[98,x] = F[1,x]+F[18,x]
F[99,x] = F[18,x]
F[100,x] = F[101,x]
F[101,x] = F[18,x]*F[2,x]*F[44,x]
F[102,x] = F[103,x]
F[103,x] = F[15,x]*F[18,x]*F[2,x]
F[104,x] = F[19,x]*F[2,x]
F[105,x] = F[0,x]*F[18,x]
F[106,x] = F[18,x]*F[19,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[18,x]
F[109,x] = F[110,x]+F[113,x]
F[110,x] = F[0,x]*F[111,x]
F[111,x] = 1/F[18,x]*F[112,x]
F[112,x] = F[20,x]
F[113,x] = F[114,x]
F[114,x] = F[30,x]*F[55,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_{18}\! \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_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{107}\! \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_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{106}\! \left(x \right)+F_{12}\! \left(x \right)+F_{13}\! \left(x \right)
F_{12}\! \left(x \right) = 0
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{18}\! \left(x \right)
F_{14}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{16}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{17}\! \left(x \right)+F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{19}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{10}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x , 1\right)
F_{22}\! \left(x , y\right) = F_{11}\! \left(x \right)+F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = y F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right)
F_{26}\! \left(x \right) = F_{105}\! \left(x \right)+F_{12}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{18}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{32}\! \left(x \right)
F_{31}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = -F_{102}\! \left(x \right)-F_{2}\! \left(x \right)+F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{100}\! \left(x \right)+F_{2}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{18}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{64}\! \left(x \right)
F_{40}\! \left(x \right) = F_{2}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = \frac{F_{42}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{42}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{43}\! \left(x \right)+F_{4}\! \left(x \right)
F_{43}\! \left(x \right) = F_{18}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{4}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{18}\! \left(x \right) F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{54}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x , 1\right)
F_{50}\! \left(x , y\right) = F_{51}\! \left(x , y\right)+F_{53}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = y F_{25}\! \left(x \right)
F_{53}\! \left(x , y\right) = F_{52}\! \left(x , y\right)
F_{54}\! \left(x \right) = F_{10}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)+F_{57}\! \left(x \right)
F_{56}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right)
F_{57}\! \left(x \right) = F_{18}\! \left(x \right) F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{12}\! \left(x \right)+F_{59}\! \left(x \right)+F_{61}\! \left(x \right)+F_{63}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{0}\! \left(x \right)+F_{55}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{18} \left(x \right)^{2} F_{0}\! \left(x \right)
F_{63}\! \left(x \right) = F_{62}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{94}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{2}\! \left(x \right)-F_{74}\! \left(x \right)-F_{86}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{18}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{14}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{18}\! \left(x \right) F_{2}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{19}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x , 1\right)
F_{79}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right) F_{85}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{24}\! \left(x \right)
F_{85}\! \left(x , y\right) = y x
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x , 1\right)
F_{88}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{50}\! \left(x , y\right) F_{85}\! \left(x , y\right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = \frac{F_{91}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{91}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{92}\! \left(x \right)-F_{93}\! \left(x \right)+F_{19}\! \left(x \right)
F_{92}\! \left(x \right) = F_{18}\! \left(x \right) F_{76}\! \left(x \right)
F_{93}\! \left(x \right) = F_{18}\! \left(x \right) F_{49}\! \left(x \right)
F_{94}\! \left(x \right) = F_{1}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{18}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)+F_{99}\! \left(x \right)
F_{98}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)
F_{99}\! \left(x \right) = F_{18}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{18}\! \left(x \right) F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right) F_{2}\! \left(x \right)
F_{104}\! \left(x \right) = F_{19}\! \left(x \right) F_{2}\! \left(x \right)
F_{105}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right)
F_{106}\! \left(x \right) = F_{18}\! \left(x \right) F_{19}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{18}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{113}\! \left(x \right)
F_{110}\! \left(x \right) = F_{0}\! \left(x \right) F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{30}\! \left(x \right) F_{55}\! \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_18(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_18(x)*F_8(x))
Eq(F_8(x), F_107(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_2(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_106(x) + F_12(x) + F_13(x))
Eq(F_12(x), 0)
Eq(F_13(x), F_14(x)*F_18(x))
Eq(F_14(x), F_15(x) - F_4(x))
Eq(F_15(x), F_16(x)/F_18(x))
Eq(F_16(x), -F_1(x) - F_17(x) + F_4(x))
Eq(F_17(x), F_18(x)*F_19(x))
Eq(F_18(x), x)
Eq(F_19(x), F_10(x) + F_20(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x, 1))
Eq(F_22(x, k_0), F_11(x) + F_23(x, k_0))
Eq(F_23(x, k_0), k_0*F_24(x))
Eq(F_24(x), F_25(x) - F_26(x))
Eq(F_25(x), F_11(x))
Eq(F_26(x), F_105(x) + F_12(x) + F_27(x))
Eq(F_27(x), F_18(x)*F_28(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_18(x)*F_30(x))
Eq(F_30(x), F_31(x) + F_32(x))
Eq(F_31(x), F_0(x)*F_10(x))
Eq(F_32(x), -F_104(x) + F_33(x))
Eq(F_33(x), F_34(x)/F_18(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), -F_102(x) - F_2(x) + F_36(x))
Eq(F_36(x), F_100(x) + F_2(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_18(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_64(x))
Eq(F_40(x), F_2(x)*F_41(x))
Eq(F_41(x), F_42(x)/F_18(x))
Eq(F_42(x), -F_1(x) + F_4(x) - F_43(x))
Eq(F_43(x), F_18(x)*F_44(x))
Eq(F_44(x), F_4(x) + F_45(x))
Eq(F_45(x), F_46(x))
Eq(F_46(x), F_18(x)*F_47(x))
Eq(F_47(x), F_48(x) + F_54(x))
Eq(F_48(x), F_0(x)*F_49(x))
Eq(F_49(x), F_50(x, 1))
Eq(F_50(x, k_0), F_51(x, k_0) + F_53(x, k_0))
Eq(F_51(x, k_0), F_10(x) + F_52(x, k_0))
Eq(F_52(x, k_0), k_0*F_25(x))
Eq(F_53(x, k_0), F_52(x, k_0))
Eq(F_54(x), F_10(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_56(x) + F_57(x))
Eq(F_56(x), F_0(x)*F_18(x))
Eq(F_57(x), F_18(x)*F_58(x))
Eq(F_58(x), F_12(x) + F_59(x) + F_61(x) + F_63(x))
Eq(F_59(x), F_18(x)*F_60(x))
Eq(F_60(x), F_0(x) + F_55(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_0(x)*F_18(x)**2)
Eq(F_63(x), F_62(x))
Eq(F_64(x), F_65(x)/F_94(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) - F_89(x))
Eq(F_67(x), F_68(x)/F_18(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), -F_2(x) + F_70(x) - F_74(x) - F_86(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_18(x)*F_72(x))
Eq(F_72(x), F_73(x)/F_18(x))
Eq(F_73(x), F_14(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_18(x)*F_2(x)*F_76(x))
Eq(F_76(x), F_19(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_79(x, 1))
Eq(F_79(x, k_0), F_20(x) + F_80(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0)*F_85(x, k_0))
Eq(F_82(x, k_0), F_83(x))
Eq(F_83(x), F_84(x)/F_18(x))
Eq(F_84(x), F_24(x))
Eq(F_85(x, k_0), k_0*x)
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_88(x, 1))
Eq(F_88(x, k_0), F_2(x)*F_50(x, k_0)*F_85(x, k_0))
Eq(F_89(x), F_2(x)*F_90(x))
Eq(F_90(x), F_91(x)/F_18(x))
Eq(F_91(x), -F_1(x) + F_19(x) - F_92(x) - F_93(x))
Eq(F_92(x), F_18(x)*F_76(x))
Eq(F_93(x), F_18(x)*F_49(x))
Eq(F_94(x), F_1(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_18(x)*F_97(x))
Eq(F_97(x), F_98(x) + F_99(x))
Eq(F_98(x), F_1(x) + F_18(x))
Eq(F_99(x), F_18(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_18(x)*F_2(x)*F_44(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_15(x)*F_18(x)*F_2(x))
Eq(F_104(x), F_19(x)*F_2(x))
Eq(F_105(x), F_0(x)*F_18(x))
Eq(F_106(x), F_18(x)*F_19(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_18(x))
Eq(F_109(x), F_110(x) + F_113(x))
Eq(F_110(x), F_0(x)*F_111(x))
Eq(F_111(x), F_112(x)/F_18(x))
Eq(F_112(x), F_20(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_30(x)*F_55(x))
Pack JSON:
{"name": "point_and_col_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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 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, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 2, 0, 3], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": 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1], "pos": [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 1], [1, 2], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 2], [1, 2], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 2], [1, 2], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 1], [1, 2], [1, 1], [1, 2], [1, 1]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 2], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 2], [1, 1], [1, 2], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 2], [1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 3]]}], [{"patt": [0], "pos": [[2, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[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, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "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": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://permpal.com/tree/25526/
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[17,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[17,x]*F[8,x]
F[8,x] = F[210,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[17,x]
F[11,x] = F[12,x]+F[78,x]
F[12,x] = F[13,x]*F[76,x]
F[13,x] = F[14,x]+F[51,x]
F[14,x] = F[1,x]+F[15,x]
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[18,x]
F[17,x] = x
F[18,x] = F[14,x]+F[19,x]
F[19,x] = F[20,x]+F[30,x]
F[20,x] = F[21,x]
F[21,x] = F[17,x]*F[22,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[1,x]+F[20,x]
F[24,x] = F[17,x]+F[25,x]
F[25,x] = F[26,x]+F[27,x]+F[28,x]
F[26,x] = 0
F[27,x] = F[17,x]*F[20,x]
F[28,x] = F[17,x]*F[29,x]
F[29,x] = F[24,x]
F[30,x] = F[26,x]+F[31,x]+F[41,x]
F[31,x] = F[17,x]*F[32,x]
F[32,x] = F[33,x]+F[34,x]
F[33,x] = F[15,x]+F[30,x]
F[34,x] = F[35,x]+F[38,x]
F[35,x] = F[36,x]
F[36,x] = F[17,x]*F[37,x]
F[37,x] = F[15,x]+F[35,x]
F[38,x] = F[39,x]
F[39,x] = F[17,x]*F[40,x]
F[40,x] = F[30,x]+F[38,x]
F[41,x] = F[17,x]*F[42,x]
F[42,x] = F[43,x]+F[47,x]
F[43,x] = F[35,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[17,x]*F[46,x]
F[46,x] = F[1,x]+F[44,x]
F[47,x] = F[38,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[17,x]*F[50,x]
F[50,x] = F[20,x]+F[48,x]
F[51,x] = F[52,x]
F[52,x] = F[17,x]*F[53,x]
F[53,x] = F[54,x]+F[74,x]
F[54,x] = F[13,x]+F[55,x]
F[55,x] = -F[62,x]+F[56,x]
F[56,x] = 1/F[17,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = -F[2,x]+F[59,x]
F[59,x] = -F[0,x]+F[60,x]
F[60,x] = 1/F[17,x]*F[61,x]
F[61,x] = F[2,x]
F[62,x] = F[63,x]
F[63,x] = F[17,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = F[66,x]+F[67,x]
F[66,x] = F[13,x]*F[22,x]
F[67,x] = F[68,x]
F[68,x] = F[17,x]*F[23,x]*F[46,x]*F[69,x]
F[69,x] = F[13,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[17,x]*F[64,x]
F[72,x] = F[73,x]
F[73,x] = F[17,x]*F[23,x]*F[46,x]*F[54,x]
F[74,x] = F[75,x]
F[75,x] = F[17,x]*F[18,x]*F[46,x]*F[54,x]
F[76,x] = 1/F[17,x]*F[77,x]
F[77,x] = F[2,x]
F[78,x] = F[79,x]*F[91,x]
F[79,x] = F[80,x]+F[86,x]
F[80,x] = F[1,x]+F[81,x]
F[81,x] = F[82,x]
F[82,x] = F[17,x]*F[83,x]
F[83,x] = F[84,x]+F[85,x]
F[84,x] = F[1,x]+F[17,x]
F[85,x] = F[17,x]
F[86,x] = F[87,x]
F[87,x] = F[17,x]*F[88,x]
F[88,x] = F[89,x]+F[90,x]
F[89,x] = F[13,x]*F[80,x]
F[90,x] = F[17,x]*F[79,x]
F[91,x] = F[92,x]
F[92,x] = F[17,x]*F[93,x]
F[93,x] = F[209,x]+F[94,x]
F[94,x] = -F[197,x]+F[95,x]
F[95,x] = 1/F[17,x]*F[96,x]
F[96,x] = F[97,x]
F[97,x] = -F[0,x]+F[98,x]
F[98,x] = F[0,x]+F[99,x]
F[99,x] = -F[195,x]+F[100,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[14,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[17,x]
F[104,x] = F[105,x]+F[194,x]
F[105,x] = 1/F[80,x]*F[106,x]
F[106,x] = -F[136,x]+F[107,x]
F[107,x] = 1/F[17,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = -F[135,x]+F[110,x]
F[110,x] = -F[115,x]+F[111,x]
F[111,x] = 1/F[17,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[2,x]+F[114,x]
F[114,x] = -F[14,x]+F[76,x]
F[115,x] = F[116,x]
F[116,x] = F[0,x]*F[117,x]*F[17,x]
F[117,x] = 1/F[17,x]*F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[122,x]+F[120,x]
F[120,x] = 1/F[17,x]*F[121,x]
F[121,x] = F[113,x]
F[122,x] = -F[126,x]+F[123,x]
F[123,x] = 1/F[17,x]*F[124,x]
F[124,x] = F[125,x]
F[125,x] = F[113,x]+F[15,x]
F[126,x] = F[127,x]+F[76,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[17,x]*F[129,x]
F[129,x] = F[6,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[17,x]
F[132,x] = F[133,x]+F[134,x]
F[133,x] = F[126,x]*F[13,x]
F[134,x] = F[78,x]
F[135,x] = F[0,x]*F[15,x]
F[136,x] = F[137,x]*F[59,x]
F[137,x] = F[138,x]+F[80,x]
F[138,x] = F[139,x]+F[15,x]
F[139,x] = F[140,x]+F[190,x]+F[26,x]
F[140,x] = F[141,x]*F[17,x]
F[141,x] = F[142,x]+F[143,x]
F[142,x] = F[139,x]+F[81,x]
F[143,x] = F[144,x]+F[162,x]
F[144,x] = F[145,x]+F[155,x]+F[26,x]
F[145,x] = F[146,x]*F[17,x]
F[146,x] = F[147,x]+F[148,x]
F[147,x] = F[144,x]+F[81,x]
F[148,x] = F[149,x]+F[152,x]
F[149,x] = F[150,x]
F[150,x] = F[151,x]*F[17,x]
F[151,x] = F[149,x]+F[81,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[17,x]
F[154,x] = F[144,x]+F[152,x]
F[155,x] = F[156,x]*F[17,x]
F[156,x] = F[157,x]+F[161,x]
F[157,x] = F[158,x]+F[44,x]
F[158,x] = F[159,x]
F[159,x] = F[160,x]*F[17,x]
F[160,x] = F[158,x]+F[17,x]
F[161,x] = F[158,x]
F[162,x] = F[163,x]+F[173,x]+F[177,x]+F[26,x]
F[163,x] = F[164,x]*F[17,x]
F[164,x] = F[165,x]+F[166,x]
F[165,x] = F[139,x]+F[162,x]
F[166,x] = F[167,x]+F[170,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[17,x]
F[169,x] = F[139,x]+F[167,x]
F[170,x] = F[171,x]
F[171,x] = F[17,x]*F[172,x]
F[172,x] = F[162,x]+F[170,x]
F[173,x] = F[17,x]*F[174,x]
F[174,x] = F[175,x]+F[176,x]
F[175,x] = F[149,x]+F[167,x]
F[176,x] = F[152,x]+F[170,x]
F[177,x] = F[17,x]*F[178,x]
F[178,x] = F[179,x]+F[189,x]
F[179,x] = F[180,x]+F[48,x]
F[180,x] = F[181,x]
F[181,x] = F[17,x]*F[182,x]
F[182,x] = F[180,x]+F[183,x]
F[183,x] = F[184,x]+F[188,x]+F[26,x]
F[184,x] = F[17,x]*F[185,x]
F[185,x] = F[186,x]+F[187,x]
F[186,x] = F[17,x]+F[183,x]
F[187,x] = F[158,x]+F[180,x]
F[188,x] = F[17,x]*F[44,x]
F[189,x] = F[180,x]
F[190,x] = F[17,x]*F[191,x]
F[191,x] = F[192,x]+F[193,x]
F[192,x] = F[183,x]+F[20,x]
F[193,x] = F[183,x]
F[194,x] = F[114,x]*F[60,x]
F[195,x] = F[196,x]
F[196,x] = F[123,x]*F[17,x]*F[2,x]
F[197,x] = F[198,x]*F[5,x]
F[198,x] = 1/F[17,x]/F[204,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[17,x]*F[202,x]
F[202,x] = F[203,x]+F[205,x]
F[203,x] = F[0,x]*F[204,x]
F[204,x] = F[0,x]+F[200,x]
F[205,x] = F[206,x]
F[206,x] = F[0,x]^2*F[17,x]*F[207,x]
F[207,x] = 1/F[0,x]/F[17,x]*F[208,x]
F[208,x] = F[200,x]
F[209,x] = F[125,x]*F[198,x]
F[210,x] = F[211,x]+F[304,x]
F[211,x] = F[212,x]+F[59,x]
F[212,x] = F[213,x]
F[213,x] = F[17,x]*F[214,x]
F[214,x] = F[215,x]+F[59,x]
F[215,x] = -F[99,x]+F[216,x]
F[216,x] = -F[219,x]+F[217,x]
F[217,x] = 1/F[17,x]*F[218,x]
F[218,x] = F[58,x]
F[219,x] = F[220,x]
F[220,x] = 1/F[17,x]*F[221,x]
F[221,x] = F[222,x]
F[222,x] = F[223,x]
F[223,x] = F[17,x]*F[224,x]
F[224,x] = F[225,x]
F[225,x] = F[17,x]*F[226,x]
F[226,x] = 1/F[17,x]*F[227,x]
F[227,x] = F[228,x]
F[228,x] = -F[231,x]+F[229,x]
F[229,x] = 1/F[17,x]*F[230,x]
F[230,x] = F[58,x]
F[231,x] = F[232,x]+F[233,x]
F[232,x] = F[2,x]*F[60,x]
F[233,x] = F[234,x]
F[234,x] = F[17,x]*F[235,x]
F[235,x] = F[236,x]+F[272,x]
F[236,x] = F[237,x]+F[259,x]
F[237,x] = F[238,x]
F[238,x] = F[17,x]*F[239,x]
F[239,x] = -F[257,x]+F[240,x]
F[240,x] = 1/F[17,x]*F[241,x]
F[241,x] = F[242,x]
F[242,x] = -F[246,x]+F[243,x]
F[243,x] = 1/F[17,x]*F[244,x]
F[244,x] = F[245,x]
F[245,x] = -F[232,x]+F[229,x]
F[246,x] = 1/F[17,x]*F[247,x]
F[247,x] = F[248,x]
F[248,x] = -F[251,x]+F[249,x]
F[249,x] = 1/F[17,x]*F[250,x]
F[250,x] = F[58,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[0,x]*F[2,x]
F[253,x] = F[254,x]
F[254,x] = F[17,x]*F[255,x]
F[255,x] = F[105,x]+F[256,x]
F[256,x] = F[5,x]*F[60,x]
F[257,x] = F[258,x]
F[258,x] = F[0,x]*F[198,x]*F[5,x]
F[259,x] = F[260,x]
F[260,x] = F[0,x]*F[261,x]
F[261,x] = -F[270,x]+F[262,x]
F[262,x] = F[263,x]
F[263,x] = F[17,x]*F[264,x]
F[264,x] = -F[265,x]+F[226,x]
F[265,x] = -F[269,x]+F[266,x]
F[266,x] = 1/F[17,x]*F[267,x]
F[267,x] = F[268,x]
F[268,x] = -F[97,x]+F[228,x]
F[269,x] = F[198,x]*F[70,x]
F[270,x] = F[271,x]
F[271,x] = F[17,x]*F[94,x]
F[272,x] = F[273,x]+F[281,x]
F[273,x] = F[274,x]
F[274,x] = F[17,x]*F[275,x]
F[275,x] = -F[279,x]+F[276,x]
F[276,x] = F[239,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[0,x]*F[125,x]*F[198,x]
F[279,x] = F[280,x]
F[280,x] = F[0,x]*F[114,x]*F[198,x]
F[281,x] = F[282,x]
F[282,x] = F[0,x]*F[283,x]
F[283,x] = -F[300,x]+F[284,x]
F[284,x] = -F[292,x]+F[285,x]
F[285,x] = 1/F[17,x]*F[286,x]
F[286,x] = F[287,x]
F[287,x] = F[288,x]+F[289,x]
F[288,x] = F[222,x]+F[59,x]
F[289,x] = F[290,x]
F[290,x] = F[17,x]*F[291,x]
F[291,x] = F[214,x]+F[97,x]
F[292,x] = F[224,x]+F[293,x]
F[293,x] = F[262,x]+F[294,x]
F[294,x] = F[295,x]+F[296,x]
F[295,x] = F[0,x]*F[13,x]
F[296,x] = F[297,x]
F[297,x] = F[17,x]*F[298,x]
F[298,x] = F[272,x]+F[299,x]
F[299,x] = F[226,x]+F[236,x]
F[300,x] = F[301,x]
F[301,x] = F[17,x]*F[302,x]
F[302,x] = -F[303,x]+F[93,x]
F[303,x] = F[114,x]*F[198,x]
F[304,x] = F[305,x]
F[305,x] = F[17,x]*F[306,x]
F[306,x] = F[307,x]+F[310,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[4,x]*F[59,x]
F[309,x] = F[0,x]*F[228,x]
F[310,x] = F[212,x]*F[4,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_{17}\! \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_{17}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{210}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{17}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{78}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{76}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{51}\! \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_{17}\! \left(x \right) F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{30}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{1}\! \left(x \right)+F_{20}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)+F_{28}\! \left(x \right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{28}\! \left(x \right) = F_{17}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{24}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)+F_{41}\! \left(x \right)
F_{31}\! \left(x \right) = F_{17}\! \left(x \right) F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right)+F_{30}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{38}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = F_{17}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{17}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{30}\! \left(x \right)+F_{38}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{43}\! \left(x \right) = F_{35}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{17}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{1}\! \left(x \right)+F_{44}\! \left(x \right)
F_{47}\! \left(x \right) = F_{38}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{17}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{20}\! \left(x \right)+F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{17}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{74}\! \left(x \right)
F_{54}\! \left(x \right) = F_{13}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{2}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)
F_{66}\! \left(x \right) = F_{13}\! \left(x \right) F_{22}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{46}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{13}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{17}\! \left(x \right) F_{64}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{17}\! \left(x \right) F_{23}\! \left(x \right) F_{46}\! \left(x \right) F_{54}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{17}\! \left(x \right) F_{18}\! \left(x \right) F_{46}\! \left(x \right) F_{54}\! \left(x \right)
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{2}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right) F_{91}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{86}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{17}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)+F_{85}\! \left(x \right)
F_{84}\! \left(x \right) = F_{1}\! \left(x \right)+F_{17}\! \left(x \right)
F_{85}\! \left(x \right) = F_{17}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{17}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)+F_{90}\! \left(x \right)
F_{89}\! \left(x \right) = F_{13}\! \left(x \right) F_{80}\! \left(x \right)
F_{90}\! \left(x \right) = F_{17}\! \left(x \right) F_{79}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{17}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{209}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{197}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = \frac{F_{96}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{0}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{195}\! \left(x \right)+F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{14}\! \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_{17}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{194}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{80}\! \left(x \right)}
F_{106}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = -F_{135}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = -F_{115}\! \left(x \right)+F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{14}\! \left(x \right)+F_{76}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right) F_{117}\! \left(x \right) F_{17}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{113}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = \frac{F_{124}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = F_{113}\! \left(x \right)+F_{15}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{76}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{6}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{17}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)
F_{133}\! \left(x \right) = F_{126}\! \left(x \right) F_{13}\! \left(x \right)
F_{134}\! \left(x \right) = F_{78}\! \left(x \right)
F_{135}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{59}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{80}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{15}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{190}\! \left(x \right)+F_{26}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{17}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)
F_{142}\! \left(x \right) = F_{139}\! \left(x \right)+F_{81}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{162}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{155}\! \left(x \right)+F_{26}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{17}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{147}\! \left(x \right) = F_{144}\! \left(x \right)+F_{81}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{152}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{17}\! \left(x \right)
F_{151}\! \left(x \right) = F_{149}\! \left(x \right)+F_{81}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{17}\! \left(x \right)
F_{154}\! \left(x \right) = F_{144}\! \left(x \right)+F_{152}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right) F_{17}\! \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_{44}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{17}\! \left(x \right)
F_{160}\! \left(x \right) = F_{158}\! \left(x \right)+F_{17}\! \left(x \right)
F_{161}\! \left(x \right) = F_{158}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{173}\! \left(x \right)+F_{177}\! \left(x \right)+F_{26}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right) F_{17}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{166}\! \left(x \right)
F_{165}\! \left(x \right) = F_{139}\! \left(x \right)+F_{162}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{170}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{17}\! \left(x \right)
F_{169}\! \left(x \right) = F_{139}\! \left(x \right)+F_{167}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{17}\! \left(x \right) F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{162}\! \left(x \right)+F_{170}\! \left(x \right)
F_{173}\! \left(x \right) = F_{17}\! \left(x \right) F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)+F_{176}\! \left(x \right)
F_{175}\! \left(x \right) = F_{149}\! \left(x \right)+F_{167}\! \left(x \right)
F_{176}\! \left(x \right) = F_{152}\! \left(x \right)+F_{170}\! \left(x \right)
F_{177}\! \left(x \right) = F_{17}\! \left(x \right) F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{189}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{48}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{17}\! \left(x \right) F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{180}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)+F_{188}\! \left(x \right)+F_{26}\! \left(x \right)
F_{184}\! \left(x \right) = F_{17}\! \left(x \right) F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)
F_{186}\! \left(x \right) = F_{17}\! \left(x \right)+F_{183}\! \left(x \right)
F_{187}\! \left(x \right) = F_{158}\! \left(x \right)+F_{180}\! \left(x \right)
F_{188}\! \left(x \right) = F_{17}\! \left(x \right) F_{44}\! \left(x \right)
F_{189}\! \left(x \right) = F_{180}\! \left(x \right)
F_{190}\! \left(x \right) = F_{17}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{193}\! \left(x \right)
F_{192}\! \left(x \right) = F_{183}\! \left(x \right)+F_{20}\! \left(x \right)
F_{193}\! \left(x \right) = F_{183}\! \left(x \right)
F_{194}\! \left(x \right) = F_{114}\! \left(x \right) F_{60}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{123}\! \left(x \right) F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{5}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{17}\! \left(x \right) F_{204}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{17}\! \left(x \right) F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{205}\! \left(x \right)
F_{203}\! \left(x \right) = F_{0}\! \left(x \right) F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{0}\! \left(x \right)+F_{200}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{17}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = \frac{F_{208}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{208}\! \left(x \right) = F_{200}\! \left(x \right)
F_{209}\! \left(x \right) = F_{125}\! \left(x \right) F_{198}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)+F_{304}\! \left(x \right)
F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{59}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{17}\! \left(x \right) F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{59}\! \left(x \right)
F_{215}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = -F_{219}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{58}\! \left(x \right)
F_{219}\! \left(x \right) = F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{17}\! \left(x \right) F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{17}\! \left(x \right) F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = \frac{F_{227}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{227}\! \left(x \right) = F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = -F_{231}\! \left(x \right)+F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = \frac{F_{230}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{230}\! \left(x \right) = F_{58}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)+F_{233}\! \left(x \right)
F_{232}\! \left(x \right) = F_{2}\! \left(x \right) F_{60}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{17}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{272}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right)+F_{259}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{17}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{257}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)
F_{242}\! \left(x \right) = -F_{246}\! \left(x \right)+F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = \frac{F_{244}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)
F_{245}\! \left(x \right) = -F_{232}\! \left(x \right)+F_{229}\! \left(x \right)
F_{246}\! \left(x \right) = \frac{F_{247}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = -F_{251}\! \left(x \right)+F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{250}\! \left(x \right) = F_{58}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{17}\! \left(x \right) F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = F_{105}\! \left(x \right)+F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{5}\! \left(x \right) F_{60}\! \left(x \right)
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{0}\! \left(x \right) F_{198}\! \left(x \right) F_{5}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = -F_{270}\! \left(x \right)+F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right)
F_{263}\! \left(x \right) = F_{17}\! \left(x \right) F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = -F_{265}\! \left(x \right)+F_{226}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{269}\! \left(x \right)+F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{267}\! \left(x \right) = F_{268}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{97}\! \left(x \right)+F_{228}\! \left(x \right)
F_{269}\! \left(x \right) = F_{198}\! \left(x \right) F_{70}\! \left(x \right)
F_{270}\! \left(x \right) = F_{271}\! \left(x \right)
F_{271}\! \left(x \right) = F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{281}\! \left(x \right)
F_{273}\! \left(x \right) = F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{17}\! \left(x \right) F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = -F_{279}\! \left(x \right)+F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{239}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{0}\! \left(x \right) F_{125}\! \left(x \right) F_{198}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{0}\! \left(x \right) F_{114}\! \left(x \right) F_{198}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{0}\! \left(x \right) F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = -F_{300}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = -F_{292}\! \left(x \right)+F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = \frac{F_{286}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{289}\! \left(x \right)
F_{288}\! \left(x \right) = F_{222}\! \left(x \right)+F_{59}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{17}\! \left(x \right) F_{291}\! \left(x \right)
F_{291}\! \left(x \right) = F_{214}\! \left(x \right)+F_{97}\! \left(x \right)
F_{292}\! \left(x \right) = F_{224}\! \left(x \right)+F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{262}\! \left(x \right)+F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{296}\! \left(x \right)
F_{295}\! \left(x \right) = F_{0}\! \left(x \right) F_{13}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = F_{17}\! \left(x \right) F_{298}\! \left(x \right)
F_{298}\! \left(x \right) = F_{272}\! \left(x \right)+F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{226}\! \left(x \right)+F_{236}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{17}\! \left(x \right) F_{302}\! \left(x \right)
F_{302}\! \left(x \right) = -F_{303}\! \left(x \right)+F_{93}\! \left(x \right)
F_{303}\! \left(x \right) = F_{114}\! \left(x \right) F_{198}\! \left(x \right)
F_{304}\! \left(x \right) = F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{17}\! \left(x \right) F_{306}\! \left(x \right)
F_{306}\! \left(x \right) = F_{307}\! \left(x \right)+F_{310}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{4}\! \left(x \right) F_{59}\! \left(x \right)
F_{309}\! \left(x \right) = F_{0}\! \left(x \right) F_{228}\! \left(x \right)
F_{310}\! \left(x \right) = F_{212}\! \left(x \right) F_{4}\! \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_17(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_17(x)*F_8(x))
Eq(F_8(x), F_210(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_17(x))
Eq(F_11(x), F_12(x) + F_78(x))
Eq(F_12(x), F_13(x)*F_76(x))
Eq(F_13(x), F_14(x) + F_51(x))
Eq(F_14(x), F_1(x) + F_15(x))
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_18(x))
Eq(F_17(x), x)
Eq(F_18(x), F_14(x) + F_19(x))
Eq(F_19(x), F_20(x) + F_30(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_17(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_24(x))
Eq(F_23(x), F_1(x) + F_20(x))
Eq(F_24(x), F_17(x) + F_25(x))
Eq(F_25(x), F_26(x) + F_27(x) + F_28(x))
Eq(F_26(x), 0)
Eq(F_27(x), F_17(x)*F_20(x))
Eq(F_28(x), F_17(x)*F_29(x))
Eq(F_29(x), F_24(x))
Eq(F_30(x), F_26(x) + F_31(x) + F_41(x))
Eq(F_31(x), F_17(x)*F_32(x))
Eq(F_32(x), F_33(x) + F_34(x))
Eq(F_33(x), F_15(x) + F_30(x))
Eq(F_34(x), F_35(x) + F_38(x))
Eq(F_35(x), F_36(x))
Eq(F_36(x), F_17(x)*F_37(x))
Eq(F_37(x), F_15(x) + F_35(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_17(x)*F_40(x))
Eq(F_40(x), F_30(x) + F_38(x))
Eq(F_41(x), F_17(x)*F_42(x))
Eq(F_42(x), F_43(x) + F_47(x))
Eq(F_43(x), F_35(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_17(x)*F_46(x))
Eq(F_46(x), F_1(x) + F_44(x))
Eq(F_47(x), F_38(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_17(x)*F_50(x))
Eq(F_50(x), F_20(x) + F_48(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_17(x)*F_53(x))
Eq(F_53(x), F_54(x) + F_74(x))
Eq(F_54(x), F_13(x) + F_55(x))
Eq(F_55(x), F_56(x) - F_62(x))
Eq(F_56(x), F_57(x)/F_17(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), -F_2(x) + F_59(x))
Eq(F_59(x), -F_0(x) + F_60(x))
Eq(F_60(x), F_61(x)/F_17(x))
Eq(F_61(x), F_2(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_17(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x) + F_67(x))
Eq(F_66(x), F_13(x)*F_22(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_17(x)*F_23(x)*F_46(x)*F_69(x))
Eq(F_69(x), F_13(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_17(x)*F_64(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_17(x)*F_23(x)*F_46(x)*F_54(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_17(x)*F_18(x)*F_46(x)*F_54(x))
Eq(F_76(x), F_77(x)/F_17(x))
Eq(F_77(x), F_2(x))
Eq(F_78(x), F_79(x)*F_91(x))
Eq(F_79(x), F_80(x) + F_86(x))
Eq(F_80(x), F_1(x) + F_81(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_17(x)*F_83(x))
Eq(F_83(x), F_84(x) + F_85(x))
Eq(F_84(x), F_1(x) + F_17(x))
Eq(F_85(x), F_17(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_17(x)*F_88(x))
Eq(F_88(x), F_89(x) + F_90(x))
Eq(F_89(x), F_13(x)*F_80(x))
Eq(F_90(x), F_17(x)*F_79(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_17(x)*F_93(x))
Eq(F_93(x), F_209(x) + F_94(x))
Eq(F_94(x), -F_197(x) + F_95(x))
Eq(F_95(x), F_96(x)/F_17(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), -F_0(x) + F_98(x))
Eq(F_98(x), F_0(x) + F_99(x))
Eq(F_99(x), F_100(x) - F_195(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_14(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_17(x))
Eq(F_104(x), F_105(x) + F_194(x))
Eq(F_105(x), F_106(x)/F_80(x))
Eq(F_106(x), F_107(x) - F_136(x))
Eq(F_107(x), F_108(x)/F_17(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) - F_135(x))
Eq(F_110(x), F_111(x) - F_115(x))
Eq(F_111(x), F_112(x)/F_17(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x) - F_2(x))
Eq(F_114(x), -F_14(x) + F_76(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_0(x)*F_117(x)*F_17(x))
Eq(F_117(x), F_118(x)/F_17(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_122(x))
Eq(F_120(x), F_121(x)/F_17(x))
Eq(F_121(x), F_113(x))
Eq(F_122(x), F_123(x) - F_126(x))
Eq(F_123(x), F_124(x)/F_17(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_113(x) + F_15(x))
Eq(F_126(x), F_127(x) + F_76(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_17(x))
Eq(F_129(x), F_6(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_17(x))
Eq(F_132(x), F_133(x) + F_134(x))
Eq(F_133(x), F_126(x)*F_13(x))
Eq(F_134(x), F_78(x))
Eq(F_135(x), F_0(x)*F_15(x))
Eq(F_136(x), F_137(x)*F_59(x))
Eq(F_137(x), F_138(x) + F_80(x))
Eq(F_138(x), F_139(x) + F_15(x))
Eq(F_139(x), F_140(x) + F_190(x) + F_26(x))
Eq(F_140(x), F_141(x)*F_17(x))
Eq(F_141(x), F_142(x) + F_143(x))
Eq(F_142(x), F_139(x) + F_81(x))
Eq(F_143(x), F_144(x) + F_162(x))
Eq(F_144(x), F_145(x) + F_155(x) + F_26(x))
Eq(F_145(x), F_146(x)*F_17(x))
Eq(F_146(x), F_147(x) + F_148(x))
Eq(F_147(x), F_144(x) + F_81(x))
Eq(F_148(x), F_149(x) + F_152(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_151(x)*F_17(x))
Eq(F_151(x), F_149(x) + F_81(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_17(x))
Eq(F_154(x), F_144(x) + F_152(x))
Eq(F_155(x), F_156(x)*F_17(x))
Eq(F_156(x), F_157(x) + F_161(x))
Eq(F_157(x), F_158(x) + F_44(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_160(x)*F_17(x))
Eq(F_160(x), F_158(x) + F_17(x))
Eq(F_161(x), F_158(x))
Eq(F_162(x), F_163(x) + F_173(x) + F_177(x) + F_26(x))
Eq(F_163(x), F_164(x)*F_17(x))
Eq(F_164(x), F_165(x) + F_166(x))
Eq(F_165(x), F_139(x) + F_162(x))
Eq(F_166(x), F_167(x) + F_170(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_17(x))
Eq(F_169(x), F_139(x) + F_167(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_17(x)*F_172(x))
Eq(F_172(x), F_162(x) + F_170(x))
Eq(F_173(x), F_17(x)*F_174(x))
Eq(F_174(x), F_175(x) + F_176(x))
Eq(F_175(x), F_149(x) + F_167(x))
Eq(F_176(x), F_152(x) + F_170(x))
Eq(F_177(x), F_17(x)*F_178(x))
Eq(F_178(x), F_179(x) + F_189(x))
Eq(F_179(x), F_180(x) + F_48(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_17(x)*F_182(x))
Eq(F_182(x), F_180(x) + F_183(x))
Eq(F_183(x), F_184(x) + F_188(x) + F_26(x))
Eq(F_184(x), F_17(x)*F_185(x))
Eq(F_185(x), F_186(x) + F_187(x))
Eq(F_186(x), F_17(x) + F_183(x))
Eq(F_187(x), F_158(x) + F_180(x))
Eq(F_188(x), F_17(x)*F_44(x))
Eq(F_189(x), F_180(x))
Eq(F_190(x), F_17(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_193(x))
Eq(F_192(x), F_183(x) + F_20(x))
Eq(F_193(x), F_183(x))
Eq(F_194(x), F_114(x)*F_60(x))
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_123(x)*F_17(x)*F_2(x))
Eq(F_197(x), F_198(x)*F_5(x))
Eq(F_198(x), F_199(x)/(F_17(x)*F_204(x)))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_17(x)*F_202(x))
Eq(F_202(x), F_203(x) + F_205(x))
Eq(F_203(x), F_0(x)*F_204(x))
Eq(F_204(x), F_0(x) + F_200(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_0(x)**2*F_17(x)*F_207(x))
Eq(F_207(x), F_208(x)/(F_0(x)*F_17(x)))
Eq(F_208(x), F_200(x))
Eq(F_209(x), F_125(x)*F_198(x))
Eq(F_210(x), F_211(x) + F_304(x))
Eq(F_211(x), F_212(x) + F_59(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_17(x)*F_214(x))
Eq(F_214(x), F_215(x) + F_59(x))
Eq(F_215(x), F_216(x) - F_99(x))
Eq(F_216(x), F_217(x) - F_219(x))
Eq(F_217(x), F_218(x)/F_17(x))
Eq(F_218(x), F_58(x))
Eq(F_219(x), F_220(x))
Eq(F_220(x), F_221(x)/F_17(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_17(x)*F_224(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_17(x)*F_226(x))
Eq(F_226(x), F_227(x)/F_17(x))
Eq(F_227(x), F_228(x))
Eq(F_228(x), F_229(x) - F_231(x))
Eq(F_229(x), F_230(x)/F_17(x))
Eq(F_230(x), F_58(x))
Eq(F_231(x), F_232(x) + F_233(x))
Eq(F_232(x), F_2(x)*F_60(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_17(x)*F_235(x))
Eq(F_235(x), F_236(x) + F_272(x))
Eq(F_236(x), F_237(x) + F_259(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_17(x)*F_239(x))
Eq(F_239(x), F_240(x) - F_257(x))
Eq(F_240(x), F_241(x)/F_17(x))
Eq(F_241(x), F_242(x))
Eq(F_242(x), F_243(x) - F_246(x))
Eq(F_243(x), F_244(x)/F_17(x))
Eq(F_244(x), F_245(x))
Eq(F_245(x), F_229(x) - F_232(x))
Eq(F_246(x), F_247(x)/F_17(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_249(x) - F_251(x))
Eq(F_249(x), F_250(x)/F_17(x))
Eq(F_250(x), F_58(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_0(x)*F_2(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_17(x)*F_255(x))
Eq(F_255(x), F_105(x) + F_256(x))
Eq(F_256(x), F_5(x)*F_60(x))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_0(x)*F_198(x)*F_5(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_0(x)*F_261(x))
Eq(F_261(x), F_262(x) - F_270(x))
Eq(F_262(x), F_263(x))
Eq(F_263(x), F_17(x)*F_264(x))
Eq(F_264(x), F_226(x) - F_265(x))
Eq(F_265(x), F_266(x) - F_269(x))
Eq(F_266(x), F_267(x)/F_17(x))
Eq(F_267(x), F_268(x))
Eq(F_268(x), F_228(x) - F_97(x))
Eq(F_269(x), F_198(x)*F_70(x))
Eq(F_270(x), F_271(x))
Eq(F_271(x), F_17(x)*F_94(x))
Eq(F_272(x), F_273(x) + F_281(x))
Eq(F_273(x), F_274(x))
Eq(F_274(x), F_17(x)*F_275(x))
Eq(F_275(x), F_276(x) - F_279(x))
Eq(F_276(x), F_239(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_0(x)*F_125(x)*F_198(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_0(x)*F_114(x)*F_198(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_0(x)*F_283(x))
Eq(F_283(x), F_284(x) - F_300(x))
Eq(F_284(x), F_285(x) - F_292(x))
Eq(F_285(x), F_286(x)/F_17(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_288(x) + F_289(x))
Eq(F_288(x), F_222(x) + F_59(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_17(x)*F_291(x))
Eq(F_291(x), F_214(x) + F_97(x))
Eq(F_292(x), F_224(x) + F_293(x))
Eq(F_293(x), F_262(x) + F_294(x))
Eq(F_294(x), F_295(x) + F_296(x))
Eq(F_295(x), F_0(x)*F_13(x))
Eq(F_296(x), F_297(x))
Eq(F_297(x), F_17(x)*F_298(x))
Eq(F_298(x), F_272(x) + F_299(x))
Eq(F_299(x), F_226(x) + F_236(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_17(x)*F_302(x))
Eq(F_302(x), -F_303(x) + F_93(x))
Eq(F_303(x), F_114(x)*F_198(x))
Eq(F_304(x), F_305(x))
Eq(F_305(x), F_17(x)*F_306(x))
Eq(F_306(x), F_307(x) + F_310(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_4(x)*F_59(x))
Eq(F_309(x), F_0(x)*F_228(x))
Eq(F_310(x), F_212(x)*F_4(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, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [0, 3, 2, 4, 1], [0, 3, 4, 2, 1], [0, 4, 2, 3, 1], [0, 4, 3, 2, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 3, 0, 4, 1], [3, 0, 2, 4, 1], [3, 0, 4, 2, 1], [3, 2, 0, 4, 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, 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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 2, 0, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], 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