01243_01342_10243_10342_20143_20341_30142_30241
Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3022, 16570, 92726, 526544, 3023092, 17506952, 102091914, 598791818, 3529229894, 20888668708, 124090795896, 739577874216, 4420745142290, 26494255972082, 159165853104270, 958302695883564, 5781428309570580, 34944761838066720, 211585779391317782, 1283210543459487170, 7794200516915736422, 47409708066240682256, 288767864530114167728, 1761098112661011925352, 10753294506352699549334, 65734835894967618186746, 402272816273247615737670, 2464301475254750843969240, 15111020013568656113105172, 92747203944715289920264104, 569766197133075078279025874, 3503194971889179156595129370, 21556974703356173283058868214, 132755437058887568501639385276, 818170626607309096323089541096, 5046025306865492986805598553000, 31142726251221672841953005828634, 192333041297824932393292143688354, 1188585138593039311755070206757006, 7349799341924114447019218853051988, 45475730244382606682190050891394628, 281535803467473304739689486938081936, 1743928018489935234207945604454446366, 10808268232931711842799141606471806338, 67020612122637308416779896835509563398, 415793648177213881411926693501958563272, 2580817680619779573670179242994729793840, 16026547769728706021814287992151142575576, 99567890761901284191991056945937909088862, 618855254616203787116875647594302771686586, 3848073619572208802782716630361981013943510, 23937373768709283768694703398567831238183328, 148964589231399808840470003136085520608517172, 927380172380723999851263536219189343293169032, 5775582845569546013341459941854435267274221082, 35982581184434295673588341776256662851661804266, 224255306185478466664669427114256930488001773030, 1398114304351610787228499922033329541220115422548, 8719427356170474986671083836873346182516009527384, 54396949475701944573486691672056746129743749709288, 339467769541857850262333217556000695042723171450850, 2119123369634195440384400777886735950822060764890130, 13232565250637712946132176604487884141156857507906702, 82652978706092911847739725510769744492649033153059068, 516411992859843636137555725256944904762235455176041012, 3227411036679981165681108370607019666387608977768642752, 20175732625380548636881628422530270060053748143510963558, 126159063689546813111123630516240591716669918160750929858, 789076031880922050738635291279420000297925250833125233382, 4936597767246107120897837807437018901951864557110145948864, 30891747067852361575012534590282279566750533872487248870256, 193357254130852977222125174436425279561470726202838445968520, 1210540335854484996111679404951482641913204548131904150836646, 7580475760271820653609622911095531491531994021179919036090234, 47479895536997200747110228825184546375081143145627780338291686, 297452008921219700284841714441699463647352949260877386117819816, 1863870608000584699812869212300026518177073185888571319935776724, 11681651023016494588319338485632043929298612908253965948206258472, 73228525928820499510927716435180274624926271310147073139855492834, 459136689313459793849550613493290617800677817915597406869736299130, 2879303574092661066429374235103833873992903696300823368674875619862, 18059878965017971050558267949533405548620233506422555764100160758892, 113298031091644267412125968056935840238754964888935317962915836685384, 710899683374123975054317515430731374466624067886892999204495897796584, 4461398793131044667789330568003718986526476291005350910769076102059498, 28003281334024536668767764457855145275291437533453077365063498212284098, 175800615404817975506685766709020340984261467089957833036323447529833102, 1103834417041352943651782322767768839790428717825573558216823326541520292, 6931992307660564613430786809359531988423943961092227875146270517920392804, 43539294383007830382817741719588074676746029833824791361678727714601353904, 273509545614971469240531171664605408025096809513152869779229870225245261422, 1718422820783359962347182729001493661422285683204964686387082318817980186882, 10798233398904079887976947598632048525682581643495525481369822382833775820038, 67863968946591305749464883393871255737115364279678788003660748317267562310776
Specification 1
Strategy pack name: point_and_row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25390/
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[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[5,x]+F[82,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[4,x]
F[11,x] = F[12,x,1]
F[12,x,k[0]] = F[13,x,k[0]]+F[70,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0]]+F[57,x,k[0]]
F[15,x,k[0]] = F[14,x,k[0]]+F[48,x]
F[15,x,k[0]] = F[16,x,k[0]]+F[37,x]
F[16,x,k[0]] = F[17,x,k[0]]+F[21,x]
F[17,x,k[0]] = F[18,x,k[0]]+F[5,x]
F[18,x,k[0]] = F[19,x,k[0]]
F[19,x,k[0]] = F[12,x,k[0]]*F[20,x,k[0]]
F[20,x,k[0]] = k[0]*x
F[21,x] = F[22,x]*F[25,x]
F[22,x] = F[1,x]+F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[4,x]
F[25,x] = F[26,x]
F[26,x] = F[27,x]*F[4,x]
F[27,x] = F[28,x]+F[31,x]
F[28,x] = F[1,x]+F[29,x]
F[29,x] = F[30,x]
F[30,x] = F[28,x]*F[4,x]
F[31,x] = F[23,x]+F[32,x]
F[32,x] = F[33,x]+F[34,x]+F[36,x]
F[33,x] = 0
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[29,x]+F[32,x]
F[36,x] = F[31,x]*F[4,x]
F[37,x] = F[38,x,1]
F[38,x,k[0]] = F[39,x,k[0]]+F[45,x,k[0]]
F[39,x,k[0]] = F[40,x]+F[41,x,k[0]]
F[40,x] = (1+F[40,x])*x+F[40,x]^2
F[41,x,k[0]] = F[25,x]*F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[20,x,k[0]]*F[44,x,k[0]]
F[44,x,k[0]] = F[1,x]+F[42,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[27,x]*F[4,x]*F[47,x,k[0]]
F[47,x,k[0]] = 2*F[39,x,k[0]]
F[48,x] = F[49,x]
F[49,x] = F[27,x]*F[4,x]*F[50,x]
F[50,x] = F[51,x]+F[55,x]
F[51,x] = F[52,x]+F[53,x]
F[52,x] = 2+F[52,x]^2+(-2+x)*F[52,x]
F[53,x] = F[23,x]*F[54,x]
F[54,x] = F[1,x]+F[25,x]
F[55,x] = F[40,x]+F[56,x]
F[56,x] = F[23,x]*F[25,x]
F[57,x,k[0]] = F[58,x,k[0]]+F[81,x]
F[58,x,k[0]] = F[59,x,k[0]]
F[59,x,k[0]] = F[17,x,k[0]]*F[4,x]*F[60,x]
F[60,x] = 1/F[4,x]*F[61,x]
F[61,x] = -F[1,x]-F[78,x]+F[62,x]
F[62,x] = F[0,x]+F[63,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[65,x]
F[65,x] = F[66,x]+F[73,x]
F[66,x] = F[62,x]+F[67,x]
F[67,x] = F[6,x]+F[68,x]
F[68,x] = F[4,x]*F[69,x]
F[69,x] = F[70,x,1]
F[70,x,k[0]] = F[18,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[4,x]*F[72,x,k[0]]
F[72,x,k[0]] = -k[0]*(F[70,x,1]-F[70,x,k[0]])/(-1+k[0])
F[73,x] = F[74,x]
F[74,x] = F[4,x]*F[75,x]
F[75,x] = F[76,x]+F[8,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[60,x]*F[8,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[62,x]+F[80,x]
F[80,x] = F[4,x]*F[75,x]
F[81,x] = -F[55,x]+F[67,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[247,x]+F[249,x]+F[251,x]+F[85,x]
F[85,x] = F[86,x,1]
F[86,x,k[0]] = F[5,x]+F[87,x,k[0]]
F[87,x,k[0]] = F[33,x]+F[88,x,k[0]]+F[90,x,k[0]]+F[92,x,k[0]]
F[88,x,k[0]] = F[4,x]*F[89,x,k[0]]
F[89,x,k[0]] = -k[0]*(F[18,x,1]-F[18,x,k[0]])/(-1+k[0])
F[90,x,k[0]] = F[4,x]*F[91,x,k[0]]
F[91,x,k[0]] = -k[0]*(F[87,x,1]-F[87,x,k[0]])/(-1+k[0])
F[92,x,k[0]] = F[20,x,k[0]]*F[93,x,k[0]]
F[93,x,k[0]] = F[86,x,k[0]]+F[94,x,k[0]]
F[94,x,k[0]] = F[20,x,k[0]]*F[95,x,k[0]]
F[96,x,k[0]] = F[20,x,k[0]]*F[95,x,k[0]]
F[97,x,k[0]] = F[229,x,k[0]]+F[236,x,k[0]]+F[85,x]+F[96,x,k[0]]
F[97,x,k[0]] = F[219,x]+F[98,x,k[0]]
F[98,x,k[0]] = F[102,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[86,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]
F[101,x,k[0]] = F[4,x]*F[60,x]*F[86,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0]]*F[212,x]*F[4,x]
F[104,x,k[0]] = F[105,x,k[0]]+F[52,x]
F[105,x,k[0]] = F[106,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[20,x,k[0]]
F[107,x,k[0]] = F[108,x,k[0]]+F[126,x,k[0]]
F[109,x,k[0]] = F[108,x,k[0]]+F[125,x]
F[109,x,k[0]] = F[104,x,k[0]]+F[110,x,k[0]]+F[203,x]
F[110,x,k[0]] = F[111,x,k[0]]
F[111,x,k[0]] = F[112,x,k[0]]*F[4,x]
F[112,x,k[0]] = F[113,x,k[0]]+F[133,x]
F[114,x,k[0]] = F[113,x,k[0]]*F[4,x]
F[114,x,k[0]] = F[115,x,k[0]]
F[115,x,k[0]] = F[116,x,k[0]]
F[116,x,k[0]] = F[104,x,k[0]]*F[117,x]*F[4,x]
F[117,x] = 1/F[4,x]*F[118,x]
F[118,x] = -F[1,x]-F[129,x]+F[119,x]
F[119,x] = F[120,x]+F[52,x]
F[120,x] = F[121,x]+F[40,x]
F[121,x] = F[122,x]
F[122,x] = F[123,x]*F[4,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[115,x,1]
F[125,x] = F[126,x,1]
F[126,x,k[0]] = F[105,x,k[0]]+F[127,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]*F[4,x]
F[128,x,k[0]] = -k[0]*(F[126,x,1]-F[126,x,k[0]])/(-1+k[0])
F[129,x] = F[130,x]*F[4,x]
F[130,x] = F[119,x]+F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[117,x]*F[119,x]*F[4,x]
F[133,x] = -F[211,x]+F[134,x]
F[134,x] = 1/F[4,x]*F[135,x]
F[135,x] = F[136,x]
F[136,x] = -F[200,x]-F[203,x]+F[137,x]
F[137,x] = 1/F[4,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]*F[4,x]
F[140,x] = F[141,x]+F[191,x]
F[141,x] = F[142,x,1]
F[142,x,k[0]] = F[143,x]+F[148,x,k[0]]
F[143,x] = 1/F[4,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = -F[0,x]+F[146,x]
F[146,x] = 1/F[4,x]*F[147,x]
F[147,x] = F[2,x]
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]
F[150,x,k[0]] = F[151,x,k[0]]*F[160,x,k[0]]*F[20,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]+F[52,x]
F[152,x,k[0]] = F[153,x,k[0]]
F[153,x,k[0]] = F[154,x,k[0]]*F[20,x,k[0]]*F[52,x]
F[154,x,k[0]] = F[155,x,k[0]]+F[44,x,k[0]]
F[155,x,k[0]] = F[156,x,k[0]]+F[23,x]
F[156,x,k[0]] = F[157,x,k[0]]+F[159,x,k[0]]+F[33,x]
F[157,x,k[0]] = F[158,x,k[0]]*F[4,x]
F[158,x,k[0]] = F[156,x,k[0]]+F[42,x,k[0]]
F[159,x,k[0]] = F[155,x,k[0]]*F[20,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]+F[173,x,k[0]]
F[161,x,k[0]] = F[1,x]+F[162,x,k[0]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[164,x,k[0]]*F[20,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]+F[168,x,k[0]]
F[165,x,k[0]] = F[1,x]+F[166,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]
F[167,x,k[0]] = F[165,x,k[0]]*F[20,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]+F[42,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]+F[172,x,k[0]]+F[33,x]
F[170,x,k[0]] = F[171,x,k[0]]*F[20,x,k[0]]
F[171,x,k[0]] = F[166,x,k[0]]+F[169,x,k[0]]
F[172,x,k[0]] = F[168,x,k[0]]*F[20,x,k[0]]
F[173,x,k[0]] = F[174,x,k[0]]+F[23,x]
F[174,x,k[0]] = F[175,x,k[0]]+F[177,x,k[0]]+F[33,x]
F[175,x,k[0]] = F[176,x,k[0]]*F[4,x]
F[176,x,k[0]] = F[162,x,k[0]]+F[174,x,k[0]]
F[177,x,k[0]] = F[178,x,k[0]]*F[20,x,k[0]]
F[178,x,k[0]] = F[179,x,k[0]]+F[184,x,k[0]]
F[179,x,k[0]] = F[180,x,k[0]]+F[23,x]
F[180,x,k[0]] = F[181,x,k[0]]+F[183,x,k[0]]+F[33,x]
F[181,x,k[0]] = F[182,x,k[0]]*F[4,x]
F[182,x,k[0]] = F[166,x,k[0]]+F[180,x,k[0]]
F[183,x,k[0]] = F[179,x,k[0]]*F[20,x,k[0]]
F[184,x,k[0]] = F[156,x,k[0]]+F[185,x,k[0]]
F[185,x,k[0]] = F[186,x,k[0]]+F[188,x,k[0]]+F[190,x,k[0]]+F[33,x]
F[186,x,k[0]] = F[187,x,k[0]]*F[4,x]
F[187,x,k[0]] = F[169,x,k[0]]+F[185,x,k[0]]
F[188,x,k[0]] = F[189,x,k[0]]*F[20,x,k[0]]
F[189,x,k[0]] = F[180,x,k[0]]+F[185,x,k[0]]
F[190,x,k[0]] = F[184,x,k[0]]*F[20,x,k[0]]
F[191,x] = -F[198,x]+F[192,x]
F[192,x] = 1/F[4,x]*F[193,x]
F[193,x] = F[194,x]
F[194,x] = -F[199,x]-F[40,x]+F[195,x]
F[195,x] = F[120,x]+F[196,x]
F[196,x] = F[197,x]
F[197,x] = F[198,x]*F[22,x]*F[4,x]
F[198,x] = F[149,x,1]
F[199,x] = F[196,x]
F[200,x] = 1/F[4,x]*F[201,x]
F[201,x] = F[202,x]
F[202,x] = F[143,x]*F[4,x]
F[203,x] = F[204,x]*F[4,x]
F[204,x] = F[205,x,1]
F[205,x,k[0]] = F[206,x,k[0]]+F[209,x,k[0]]
F[206,x,k[0]] = F[104,x,k[0]]+F[207,x,k[0]]
F[207,x,k[0]] = F[208,x,k[0]]
F[208,x,k[0]] = F[205,x,k[0]]*F[4,x]
F[209,x,k[0]] = F[210,x,k[0]]*F[4,x]
F[210,x,k[0]] = 1/(-1+k[0])*(F[205,x,k[0]]*k[0]-F[205,x,1])
F[211,x] = F[113,x,1]
F[212,x] = 1/F[4,x]*F[213,x]
F[213,x] = F[214,x]
F[214,x] = -F[215,x]-F[62,x]+F[8,x]
F[215,x] = F[216,x]*F[4,x]
F[216,x] = F[217,x]+F[75,x]
F[217,x] = F[218,x]
F[218,x] = F[119,x]*F[212,x]*F[4,x]
F[219,x] = -F[226,x]+F[220,x]
F[220,x] = 1/F[4,x]*F[221,x]
F[221,x] = F[222,x]
F[222,x] = -F[225,x]-F[6,x]+F[223,x]
F[223,x] = F[214,x]+F[224,x]+F[33,x]
F[224,x] = F[217,x]*F[4,x]
F[225,x] = F[68,x]
F[226,x] = F[227,x]
F[227,x] = F[212,x]*F[228,x]*F[4,x]
F[228,x] = F[104,x,1]
F[229,x,k[0]] = F[230,x,k[0]]
F[230,x,k[0]] = F[231,x,k[0]]*F[4,x]
F[231,x,k[0]] = F[232,x,k[0]]+F[234,x]
F[232,x,k[0]] = 1/(-1+k[0])*(F[233,x,k[0]]*k[0]-F[233,x,1])
F[233,x,k[0]] = F[13,x,k[0]]+F[69,x]
F[234,x] = F[235,x,1]
F[235,x,k[0]] = (F[70,x,k[0]]-F[70,x,1])/(-1+k[0])
F[236,x,k[0]] = F[237,x,k[0]]
F[237,x,k[0]] = F[238,x,k[0]]*F[4,x]
F[238,x,k[0]] = F[239,x,k[0]]+F[240,x]
F[239,x,k[0]] = 1/(-1+k[0])*(F[97,x,k[0]]*k[0]-F[97,x,1])
F[240,x] = F[241,x]
F[241,x] = F[242,x,1]
F[242,x,k[0]] = -k[0]*(F[243,x,1]-F[243,x,k[0]])/(-1+k[0])
F[243,x,k[0]] = F[244,x,k[0]]
F[245,x,k[0]] = F[244,x,k[0]]+F[98,x,k[0]]
F[246,x,k[0]] = F[20,x,k[0]]*F[245,x,k[0]]
F[246,x,k[0]] = F[87,x,k[0]]
F[247,x] = F[248,x]
F[248,x] = F[230,x,1]
F[249,x] = F[250,x]
F[250,x] = F[237,x,1]
F[251,x] = -F[253,x]-F[257,x]-F[5,x]+F[252,x]
F[252,x] = F[98,x,1]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[4,x]
F[255,x] = F[256,x,1]
F[256,x,k[0]] = 1/(-1+k[0])*(F[233,x,k[0]]*k[0]-F[233,x,1])
F[257,x] = F[258,x]
F[258,x] = F[259,x]*F[4,x]
F[259,x] = F[260,x,1]
F[260,x,k[0]] = 1/(-1+k[0])*(F[97,x,k[0]]*k[0]-F[97,x,1])
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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{5}\! \left(x \right)+F_{82}\! \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_{4}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x , 1\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{48}\! \left(x \right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{37}\! \left(x \right)
F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{21}\! \left(x \right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{5}\! \left(x \right)
F_{18}\! \left(x , y\right) = F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = y x
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{22}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)+F_{31}\! \left(x \right)
F_{28}\! \left(x \right) = F_{1}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{31}\! \left(x \right) = F_{23}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{34}\! \left(x \right)+F_{36}\! \left(x \right)
F_{33}\! \left(x \right) = 0
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)+F_{32}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right) F_{4}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x , 1\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x \right)+F_{41}\! \left(x , y\right)
F_{40}\! \left(x \right) = F_{40}\! \left(x \right) x +F_{40} \left(x \right)^{2}+x
F_{41}\! \left(x , y\right) = F_{25}\! \left(x \right) F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{42}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = 2 F_{39}\! \left(x , y\right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{27}\! \left(x \right) F_{4}\! \left(x \right) F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{53}\! \left(x \right)
F_{52}\! \left(x \right) = F_{52}\! \left(x \right) x +F_{52} \left(x \right)^{2}-2 F_{52}\! \left(x \right)+2
F_{53}\! \left(x \right) = F_{23}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{1}\! \left(x \right)+F_{25}\! \left(x \right)
F_{55}\! \left(x \right) = F_{40}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{23}\! \left(x \right) F_{25}\! \left(x \right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)+F_{81}\! \left(x \right)
F_{58}\! \left(x , y\right) = F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{17}\! \left(x , y\right) F_{4}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{61}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{78}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{0}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{73}\! \left(x \right)
F_{66}\! \left(x \right) = F_{62}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{6}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{70}\! \left(x , y\right) = F_{18}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = -\frac{y \left(F_{70}\! \left(x , 1\right)-F_{70}\! \left(x , y\right)\right)}{-1+y}
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{8}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right) F_{8}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{62}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{4}\! \left(x \right) F_{75}\! \left(x \right)
F_{81}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{67}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{247}\! \left(x \right)+F_{249}\! \left(x \right)+F_{251}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x , 1\right)
F_{86}\! \left(x , y\right) = F_{5}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{33}\! \left(x \right)+F_{88}\! \left(x , y\right)+F_{90}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = -\frac{y \left(F_{18}\! \left(x , 1\right)-F_{18}\! \left(x , y\right)\right)}{-1+y}
F_{90}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = -\frac{y \left(F_{87}\! \left(x , 1\right)-F_{87}\! \left(x , y\right)\right)}{-1+y}
F_{92}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{86}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{95}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{229}\! \left(x , y\right)+F_{236}\! \left(x , y\right)+F_{85}\! \left(x \right)+F_{96}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{219}\! \left(x \right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{60}\! \left(x \right) F_{86}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{212}\! \left(x \right) F_{4}\! \left(x \right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{52}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{126}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{108}\! \left(x , y\right)+F_{125}\! \left(x \right)
F_{109}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{110}\! \left(x , y\right)+F_{203}\! \left(x \right)
F_{110}\! \left(x , y\right) = F_{111}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{112}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{133}\! \left(x \right)
F_{114}\! \left(x , y\right) = F_{113}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{117}\! \left(x \right) F_{4}\! \left(x \right)
F_{117}\! \left(x \right) = \frac{F_{118}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{118}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{129}\! \left(x \right)+F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{52}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{40}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \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 , 1\right)
F_{125}\! \left(x \right) = F_{126}\! \left(x , 1\right)
F_{126}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{128}\! \left(x , y\right) = -\frac{y \left(F_{126}\! \left(x , 1\right)-F_{126}\! \left(x , y\right)\right)}{-1+y}
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{4}\! \left(x \right)
F_{130}\! \left(x \right) = F_{119}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{117}\! \left(x \right) F_{119}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = -F_{211}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{200}\! \left(x \right)-F_{203}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right) F_{4}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{191}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x , 1\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x \right)+F_{148}\! \left(x , y\right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = \frac{F_{147}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{147}\! \left(x \right) = F_{2}\! \left(x \right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right) F_{160}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{52}\! \left(x \right)
F_{152}\! \left(x , y\right) = F_{153}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{154}\! \left(x , y\right) F_{20}\! \left(x , y\right) F_{52}\! \left(x \right)
F_{154}\! \left(x , y\right) = F_{155}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)+F_{159}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{157}\! \left(x , y\right) = F_{158}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{158}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{155}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)+F_{173}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{162}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{168}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{166}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{165}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{170}\! \left(x , y\right)+F_{172}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{170}\! \left(x , y\right) = F_{171}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{169}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{168}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{174}\! \left(x , y\right) = F_{175}\! \left(x , y\right)+F_{177}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{176}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{174}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{184}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , y\right)+F_{23}\! \left(x \right)
F_{180}\! \left(x , y\right) = F_{181}\! \left(x , y\right)+F_{183}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{182}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{180}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{179}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{156}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x , y\right)+F_{188}\! \left(x , y\right)+F_{190}\! \left(x , y\right)+F_{33}\! \left(x \right)
F_{186}\! \left(x , y\right) = F_{187}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{189}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{180}\! \left(x , y\right)+F_{185}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{184}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{191}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = \frac{F_{193}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{199}\! \left(x \right)-F_{40}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{120}\! \left(x \right)+F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{198}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{198}\! \left(x \right) = F_{149}\! \left(x , 1\right)
F_{199}\! \left(x \right) = F_{196}\! \left(x \right)
F_{200}\! \left(x \right) = \frac{F_{201}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)
F_{202}\! \left(x \right) = F_{143}\! \left(x \right) F_{4}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right) F_{4}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x , 1\right)
F_{205}\! \left(x , y\right) = F_{206}\! \left(x , y\right)+F_{209}\! \left(x , y\right)
F_{206}\! \left(x , y\right) = F_{104}\! \left(x , y\right)+F_{207}\! \left(x , y\right)
F_{207}\! \left(x , y\right) = F_{208}\! \left(x , y\right)
F_{208}\! \left(x , y\right) = F_{205}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{209}\! \left(x , y\right) = F_{210}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{210}\! \left(x , y\right) = -\frac{-F_{205}\! \left(x , y\right) y +F_{205}\! \left(x , 1\right)}{-1+y}
F_{211}\! \left(x \right) = F_{113}\! \left(x , 1\right)
F_{212}\! \left(x \right) = \frac{F_{213}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = -F_{215}\! \left(x \right)-F_{62}\! \left(x \right)+F_{8}\! \left(x \right)
F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{4}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)+F_{75}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)
F_{218}\! \left(x \right) = F_{119}\! \left(x \right) F_{212}\! \left(x \right) F_{4}\! \left(x \right)
F_{219}\! \left(x \right) = -F_{226}\! \left(x \right)+F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = \frac{F_{221}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)
F_{222}\! \left(x \right) = -F_{225}\! \left(x \right)-F_{6}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{214}\! \left(x \right)+F_{224}\! \left(x \right)+F_{33}\! \left(x \right)
F_{224}\! \left(x \right) = F_{217}\! \left(x \right) F_{4}\! \left(x \right)
F_{225}\! \left(x \right) = F_{68}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{212}\! \left(x \right) F_{228}\! \left(x \right) F_{4}\! \left(x \right)
F_{228}\! \left(x \right) = F_{104}\! \left(x , 1\right)
F_{229}\! \left(x , y\right) = F_{230}\! \left(x , y\right)
F_{230}\! \left(x , y\right) = F_{231}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{231}\! \left(x , y\right) = F_{232}\! \left(x , y\right)+F_{234}\! \left(x \right)
F_{232}\! \left(x , y\right) = -\frac{-y F_{233}\! \left(x , y\right)+F_{233}\! \left(x , 1\right)}{-1+y}
F_{233}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{69}\! \left(x \right)
F_{234}\! \left(x \right) = F_{235}\! \left(x , 1\right)
F_{235}\! \left(x , y\right) = -\frac{F_{70}\! \left(x , 1\right)-F_{70}\! \left(x , y\right)}{-1+y}
F_{236}\! \left(x , y\right) = F_{237}\! \left(x , y\right)
F_{237}\! \left(x , y\right) = F_{238}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{238}\! \left(x , y\right) = F_{239}\! \left(x , y\right)+F_{240}\! \left(x \right)
F_{239}\! \left(x , y\right) = -\frac{-y F_{97}\! \left(x , y\right)+F_{97}\! \left(x , 1\right)}{-1+y}
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x , 1\right)
F_{242}\! \left(x , y\right) = -\frac{y \left(F_{243}\! \left(x , 1\right)-F_{243}\! \left(x , y\right)\right)}{-1+y}
F_{243}\! \left(x , y\right) = F_{244}\! \left(x , y\right)
F_{245}\! \left(x , y\right) = F_{244}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{245}\! \left(x , y\right)
F_{246}\! \left(x , y\right) = F_{87}\! \left(x , y\right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{230}\! \left(x , 1\right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{237}\! \left(x , 1\right)
F_{251}\! \left(x \right) = -F_{253}\! \left(x \right)-F_{257}\! \left(x \right)-F_{5}\! \left(x \right)+F_{252}\! \left(x \right)
F_{252}\! \left(x \right) = F_{98}\! \left(x , 1\right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{4}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x , 1\right)
F_{256}\! \left(x , y\right) = -\frac{-y F_{233}\! \left(x , y\right)+F_{233}\! \left(x , 1\right)}{-1+y}
F_{257}\! \left(x \right) = F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = F_{259}\! \left(x \right) F_{4}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x , 1\right)
F_{260}\! \left(x , y\right) = -\frac{-y F_{97}\! \left(x , y\right)+F_{97}\! \left(x , 1\right)}{-1+y}
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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_5(x) + F_82(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_4(x))
Eq(F_11(x), F_12(x, 1))
Eq(F_12(x, k_0), F_13(x, k_0) + F_70(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0) + F_57(x, k_0))
Eq(F_15(x, k_0), F_14(x, k_0) + F_48(x))
Eq(F_15(x, k_0), F_16(x, k_0) + F_37(x))
Eq(F_16(x, k_0), F_17(x, k_0) + F_21(x))
Eq(F_17(x, k_0), F_18(x, k_0) + F_5(x))
Eq(F_18(x, k_0), F_19(x, k_0))
Eq(F_19(x, k_0), F_12(x, k_0)*F_20(x, k_0))
Eq(F_20(x, k_0), k_0*x)
Eq(F_21(x), F_22(x)*F_25(x))
Eq(F_22(x), F_1(x) + F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_4(x))
Eq(F_25(x), F_26(x))
Eq(F_26(x), F_27(x)*F_4(x))
Eq(F_27(x), F_28(x) + F_31(x))
Eq(F_28(x), F_1(x) + F_29(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), F_28(x)*F_4(x))
Eq(F_31(x), F_23(x) + F_32(x))
Eq(F_32(x), F_33(x) + F_34(x) + F_36(x))
Eq(F_33(x), 0)
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_29(x) + F_32(x))
Eq(F_36(x), F_31(x)*F_4(x))
Eq(F_37(x), F_38(x, 1))
Eq(F_38(x, k_0), F_39(x, k_0) + F_45(x, k_0))
Eq(F_39(x, k_0), F_40(x) + F_41(x, k_0))
Eq(F_40(x), (x - 3)*(F_40(x) + 1) + (F_40(x) + 1)**2 + F_40(x) + 2)
Eq(F_41(x, k_0), F_25(x)*F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_20(x, k_0)*F_44(x, k_0))
Eq(F_44(x, k_0), F_1(x) + F_42(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_27(x)*F_4(x)*F_47(x, k_0))
Eq(F_47(x, k_0), 2*F_39(x, k_0))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_27(x)*F_4(x)*F_50(x))
Eq(F_50(x), F_51(x) + F_55(x))
Eq(F_51(x), F_52(x) + F_53(x))
Eq(F_52(x), (x - 2)*F_52(x) + F_52(x)**2 + 2)
Eq(F_53(x), F_23(x)*F_54(x))
Eq(F_54(x), F_1(x) + F_25(x))
Eq(F_55(x), F_40(x) + F_56(x))
Eq(F_56(x), F_23(x)*F_25(x))
Eq(F_57(x, k_0), F_58(x, k_0) + F_81(x))
Eq(F_58(x, k_0), F_59(x, k_0))
Eq(F_59(x, k_0), F_17(x, k_0)*F_4(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_4(x))
Eq(F_61(x), -F_1(x) + F_62(x) - F_78(x))
Eq(F_62(x), F_0(x) + F_63(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_65(x))
Eq(F_65(x), F_66(x) + F_73(x))
Eq(F_66(x), F_62(x) + F_67(x))
Eq(F_67(x), F_6(x) + F_68(x))
Eq(F_68(x), F_4(x)*F_69(x))
Eq(F_69(x), F_70(x, 1))
Eq(F_70(x, k_0), F_18(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_4(x)*F_72(x, k_0))
Eq(F_72(x, k_0), -F_70(x, 1) + (k_0*F_70(x, k_0) - F_70(x, 1))/(k_0 - 1))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_4(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_8(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_60(x)*F_8(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_62(x) + F_80(x))
Eq(F_80(x), F_4(x)*F_75(x))
Eq(F_81(x), -F_55(x) + F_67(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_247(x) + F_249(x) + F_251(x) + F_85(x))
Eq(F_85(x), F_86(x, 1))
Eq(F_86(x, k_0), F_5(x) + F_87(x, k_0))
Eq(F_87(x, k_0), F_33(x) + F_88(x, k_0) + F_90(x, k_0) + F_92(x, k_0))
Eq(F_88(x, k_0), F_4(x)*F_89(x, k_0))
Eq(F_89(x, k_0), -F_18(x, 1) + (k_0*F_18(x, k_0) - F_18(x, 1))/(k_0 - 1))
Eq(F_90(x, k_0), F_4(x)*F_91(x, k_0))
Eq(F_91(x, k_0), -F_87(x, 1) + (k_0*F_87(x, k_0) - F_87(x, 1))/(k_0 - 1))
Eq(F_92(x, k_0), F_20(x, k_0)*F_93(x, k_0))
Eq(F_93(x, k_0), F_86(x, k_0) + F_94(x, k_0))
Eq(F_94(x, k_0), F_20(x, k_0)*F_95(x, k_0))
Eq(F_96(x, k_0), F_20(x, k_0)*F_95(x, k_0))
Eq(F_97(x, k_0), F_229(x, k_0) + F_236(x, k_0) + F_85(x) + F_96(x, k_0))
Eq(F_97(x, k_0), F_219(x) + F_98(x, k_0))
Eq(F_98(x, k_0), F_102(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_86(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0))
Eq(F_101(x, k_0), F_4(x)*F_60(x)*F_86(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0)*F_212(x)*F_4(x))
Eq(F_104(x, k_0), F_105(x, k_0) + F_52(x))
Eq(F_105(x, k_0), F_106(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_20(x, k_0))
Eq(F_107(x, k_0), F_108(x, k_0) + F_126(x, k_0))
Eq(F_109(x, k_0), F_108(x, k_0) + F_125(x))
Eq(F_109(x, k_0), F_104(x, k_0) + F_110(x, k_0) + F_203(x))
Eq(F_110(x, k_0), F_111(x, k_0))
Eq(F_111(x, k_0), F_112(x, k_0)*F_4(x))
Eq(F_112(x, k_0), F_113(x, k_0) + F_133(x))
Eq(F_114(x, k_0), F_113(x, k_0)*F_4(x))
Eq(F_114(x, k_0), F_115(x, k_0))
Eq(F_115(x, k_0), F_116(x, k_0))
Eq(F_116(x, k_0), F_104(x, k_0)*F_117(x)*F_4(x))
Eq(F_117(x), F_118(x)/F_4(x))
Eq(F_118(x), -F_1(x) + F_119(x) - F_129(x))
Eq(F_119(x), F_120(x) + F_52(x))
Eq(F_120(x), F_121(x) + F_40(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_123(x)*F_4(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_115(x, 1))
Eq(F_125(x), F_126(x, 1))
Eq(F_126(x, k_0), F_105(x, k_0) + F_127(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0)*F_4(x))
Eq(F_128(x, k_0), -F_126(x, 1) + (k_0*F_126(x, k_0) - F_126(x, 1))/(k_0 - 1))
Eq(F_129(x), F_130(x)*F_4(x))
Eq(F_130(x), F_119(x) + F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_117(x)*F_119(x)*F_4(x))
Eq(F_133(x), F_134(x) - F_211(x))
Eq(F_134(x), F_135(x)/F_4(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x) - F_200(x) - F_203(x))
Eq(F_137(x), F_138(x)/F_4(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x)*F_4(x))
Eq(F_140(x), F_141(x) + F_191(x))
Eq(F_141(x), F_142(x, 1))
Eq(F_142(x, k_0), F_143(x) + F_148(x, k_0))
Eq(F_143(x), F_144(x)/F_4(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), -F_0(x) + F_146(x))
Eq(F_146(x), F_147(x)/F_4(x))
Eq(F_147(x), F_2(x))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0))
Eq(F_150(x, k_0), F_151(x, k_0)*F_160(x, k_0)*F_20(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0) + F_52(x))
Eq(F_152(x, k_0), F_153(x, k_0))
Eq(F_153(x, k_0), F_154(x, k_0)*F_20(x, k_0)*F_52(x))
Eq(F_154(x, k_0), F_155(x, k_0) + F_44(x, k_0))
Eq(F_155(x, k_0), F_156(x, k_0) + F_23(x))
Eq(F_156(x, k_0), F_157(x, k_0) + F_159(x, k_0) + F_33(x))
Eq(F_157(x, k_0), F_158(x, k_0)*F_4(x))
Eq(F_158(x, k_0), F_156(x, k_0) + F_42(x, k_0))
Eq(F_159(x, k_0), F_155(x, k_0)*F_20(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0) + F_173(x, k_0))
Eq(F_161(x, k_0), F_1(x) + F_162(x, k_0))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x, k_0)*F_20(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0) + F_168(x, k_0))
Eq(F_165(x, k_0), F_1(x) + F_166(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0))
Eq(F_167(x, k_0), F_165(x, k_0)*F_20(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0) + F_42(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0) + F_172(x, k_0) + F_33(x))
Eq(F_170(x, k_0), F_171(x, k_0)*F_20(x, k_0))
Eq(F_171(x, k_0), F_166(x, k_0) + F_169(x, k_0))
Eq(F_172(x, k_0), F_168(x, k_0)*F_20(x, k_0))
Eq(F_173(x, k_0), F_174(x, k_0) + F_23(x))
Eq(F_174(x, k_0), F_175(x, k_0) + F_177(x, k_0) + F_33(x))
Eq(F_175(x, k_0), F_176(x, k_0)*F_4(x))
Eq(F_176(x, k_0), F_162(x, k_0) + F_174(x, k_0))
Eq(F_177(x, k_0), F_178(x, k_0)*F_20(x, k_0))
Eq(F_178(x, k_0), F_179(x, k_0) + F_184(x, k_0))
Eq(F_179(x, k_0), F_180(x, k_0) + F_23(x))
Eq(F_180(x, k_0), F_181(x, k_0) + F_183(x, k_0) + F_33(x))
Eq(F_181(x, k_0), F_182(x, k_0)*F_4(x))
Eq(F_182(x, k_0), F_166(x, k_0) + F_180(x, k_0))
Eq(F_183(x, k_0), F_179(x, k_0)*F_20(x, k_0))
Eq(F_184(x, k_0), F_156(x, k_0) + F_185(x, k_0))
Eq(F_185(x, k_0), F_186(x, k_0) + F_188(x, k_0) + F_190(x, k_0) + F_33(x))
Eq(F_186(x, k_0), F_187(x, k_0)*F_4(x))
Eq(F_187(x, k_0), F_169(x, k_0) + F_185(x, k_0))
Eq(F_188(x, k_0), F_189(x, k_0)*F_20(x, k_0))
Eq(F_189(x, k_0), F_180(x, k_0) + F_185(x, k_0))
Eq(F_190(x, k_0), F_184(x, k_0)*F_20(x, k_0))
Eq(F_191(x), F_192(x) - F_198(x))
Eq(F_192(x), F_193(x)/F_4(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x) - F_199(x) - F_40(x))
Eq(F_195(x), F_120(x) + F_196(x))
Eq(F_196(x), F_197(x))
Eq(F_197(x), F_198(x)*F_22(x)*F_4(x))
Eq(F_198(x), F_149(x, 1))
Eq(F_199(x), F_196(x))
Eq(F_200(x), F_201(x)/F_4(x))
Eq(F_201(x), F_202(x))
Eq(F_202(x), F_143(x)*F_4(x))
Eq(F_203(x), F_204(x)*F_4(x))
Eq(F_204(x), F_205(x, 1))
Eq(F_205(x, k_0), F_206(x, k_0) + F_209(x, k_0))
Eq(F_206(x, k_0), F_104(x, k_0) + F_207(x, k_0))
Eq(F_207(x, k_0), F_208(x, k_0))
Eq(F_208(x, k_0), F_205(x, k_0)*F_4(x))
Eq(F_209(x, k_0), F_210(x, k_0)*F_4(x))
Eq(F_210(x, k_0), (k_0*F_205(x, k_0) - F_205(x, 1))/(k_0 - 1))
Eq(F_211(x), F_113(x, 1))
Eq(F_212(x), F_213(x)/F_4(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), -F_215(x) - F_62(x) + F_8(x))
Eq(F_215(x), F_216(x)*F_4(x))
Eq(F_216(x), F_217(x) + F_75(x))
Eq(F_217(x), F_218(x))
Eq(F_218(x), F_119(x)*F_212(x)*F_4(x))
Eq(F_219(x), F_220(x) - F_226(x))
Eq(F_220(x), F_221(x)/F_4(x))
Eq(F_221(x), F_222(x))
Eq(F_222(x), F_223(x) - F_225(x) - F_6(x))
Eq(F_223(x), F_214(x) + F_224(x) + F_33(x))
Eq(F_224(x), F_217(x)*F_4(x))
Eq(F_225(x), F_68(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_212(x)*F_228(x)*F_4(x))
Eq(F_228(x), F_104(x, 1))
Eq(F_229(x, k_0), F_230(x, k_0))
Eq(F_230(x, k_0), F_231(x, k_0)*F_4(x))
Eq(F_231(x, k_0), F_232(x, k_0) + F_234(x))
Eq(F_232(x, k_0), (k_0*F_233(x, k_0) - F_233(x, 1))/(k_0 - 1))
Eq(F_233(x, k_0), F_13(x, k_0) + F_69(x))
Eq(F_234(x), F_235(x, 1))
Eq(F_235(x, k_0), -F_70(x, k_0) + (-k_0*F_70(x, k_0) + F_70(x, 1))/(1 - k_0))
Eq(F_236(x, k_0), F_237(x, k_0))
Eq(F_237(x, k_0), F_238(x, k_0)*F_4(x))
Eq(F_238(x, k_0), F_239(x, k_0) + F_240(x))
Eq(F_239(x, k_0), (k_0*F_97(x, k_0) - F_97(x, 1))/(k_0 - 1))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_242(x, 1))
Eq(F_242(x, k_0), -F_243(x, 1) + (k_0*F_243(x, k_0) - F_243(x, 1))/(k_0 - 1))
Eq(F_243(x, k_0), F_244(x, k_0))
Eq(F_245(x, k_0), F_244(x, k_0) + F_98(x, k_0))
Eq(F_246(x, k_0), F_20(x, k_0)*F_245(x, k_0))
Eq(F_246(x, k_0), F_87(x, k_0))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_230(x, 1))
Eq(F_249(x), F_250(x))
Eq(F_250(x), F_237(x, 1))
Eq(F_251(x), F_252(x) - F_253(x) - F_257(x) - F_5(x))
Eq(F_252(x), F_98(x, 1))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_4(x))
Eq(F_255(x), F_256(x, 1))
Eq(F_256(x, k_0), (-k_0*F_233(x, k_0) + F_233(x, 1))/(1 - k_0))
Eq(F_257(x), F_258(x))
Eq(F_258(x), F_259(x)*F_4(x))
Eq(F_259(x), F_260(x, 1))
Eq(F_260(x, k_0), (-k_0*F_97(x, k_0) + F_97(x, 1))/(1 - k_0))
Pack JSON:
{"name": "point_and_row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "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": 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, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "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": [3, 0, 1, 4, 2], "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]]}], "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": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 0], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "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": [3, 0, 1, 4, 2], "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]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [0, 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"pos": [[0, 1], [1, 1], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 1], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 1], [1, 1], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 3], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 3], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 2], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 3], [0, 3], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [1, 2], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 2], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 2], [1, 2], [1, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 4, 3], "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], [0, 0], [1, 0], [1, 0], [1, 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": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": 3, "col_idx": null, "tracked": true}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25699/
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[16,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[191,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[16,x]*F[8,x]
F[8,x] = F[4,x]+F[9,x]
F[9,x] = F[10,x]+F[187,x]
F[10,x] = F[11,x]
F[11,x] = F[0,x]*F[12,x]*F[16,x]
F[12,x] = F[13,x,1]
F[14,x,k[0]] = F[13,x,k[0]]+F[67,x,k[0]]
F[14,x,k[0]] = F[1,x]+F[15,x,k[0]]+F[19,x,k[0]]+F[61,x,k[0]]+F[89,x,k[0]]
F[15,x,k[0]] = F[16,x]*F[17,x,k[0]]
F[16,x] = x
F[18,x,k[0]] = F[17,x,k[0]]+F[34,x,k[0]]
F[18,x,k[0]] = F[1,x]+F[15,x,k[0]]+F[19,x,k[0]]+F[21,x,k[0]]+F[59,x,k[0]]
F[19,x,k[0]] = F[18,x,k[0]]*F[20,x,k[0]]
F[20,x,k[0]] = k[0]*x
F[21,x,k[0]] = F[16,x]*F[22,x,k[0]]
F[22,x,k[0]] = F[14,x,k[0]]+F[23,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]
F[24,x,k[0]] = F[16,x]*F[25,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]+F[27,x,k[0]]
F[26,x,k[0]] = F[12,x]*F[14,x,k[0]]
F[27,x,k[0]] = F[28,x]*F[48,x,k[0]]
F[28,x] = F[29,x]
F[29,x] = F[30,x,1]
F[30,x,k[0]] = F[31,x,k[0]]+F[38,x,k[0]]+F[57,x,k[0]]+F[6,x]
F[31,x,k[0]] = F[20,x,k[0]]*F[32,x,k[0]]
F[32,x,k[0]] = F[17,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = k[0]*F[34,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[35,x,k[0]] = F[16,x]*F[36,x,k[0]]
F[37,x,k[0]] = F[20,x,k[0]]*F[36,x,k[0]]
F[37,x,k[0]] = F[30,x,k[0]]
F[38,x,k[0]] = F[16,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]
F[40,x,k[0]] = F[30,x,k[0]]+F[41,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[16,x]*F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[45,x,k[0]]
F[44,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[47,x,k[0]]*F[48,x,k[0]]
F[47,x,k[0]] = k[0]*F[28,x]
F[48,x,k[0]] = F[1,x]+F[49,x,k[0]]+F[50,x,k[0]]+F[55,x,k[0]]
F[49,x,k[0]] = F[20,x,k[0]]*F[48,x,k[0]]
F[50,x,k[0]] = F[16,x]*F[51,x,k[0]]
F[51,x,k[0]] = F[48,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]
F[53,x,k[0]] = F[16,x]*F[48,x,k[0]]*F[54,x]
F[54,x] = F[48,x,1]
F[55,x,k[0]] = F[16,x]*F[56,x,k[0]]
F[56,x,k[0]] = (F[48,x,k[0]]*k[0]-F[48,x,1])/(-1+k[0])
F[57,x,k[0]] = F[16,x]*F[58,x,k[0]]
F[58,x,k[0]] = -k[0]*(F[30,x,1]-F[30,x,k[0]])/(-1+k[0])
F[59,x,k[0]] = F[16,x]*F[60,x,k[0]]
F[60,x,k[0]] = (F[14,x,k[0]]*k[0]-F[14,x,1])/(-1+k[0])
F[61,x,k[0]] = F[16,x]*F[62,x,k[0]]
F[62,x,k[0]] = F[63,x,k[0]]+F[83,x,k[0]]
F[64,x,k[0]] = F[63,x,k[0]]+F[82,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]+F[68,x,k[0]]
F[65,x,k[0]] = F[13,x,k[0]]+F[66,x,k[0]]
F[66,x,k[0]] = k[0]*F[67,x,k[0]]
F[67,x,k[0]] = F[35,x,k[0]]
F[68,x,k[0]] = F[69,x,k[0]]
F[69,x,k[0]] = F[16,x]*F[70,x,k[0]]
F[70,x,k[0]] = F[71,x,k[0]]+F[80,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]+F[74,x,k[0]]
F[72,x,k[0]] = F[46,x,k[0]]+F[73,x,k[0]]
F[73,x,k[0]] = F[12,x]*F[65,x,k[0]]
F[74,x,k[0]] = F[75,x]
F[75,x] = F[28,x]*F[76,x]
F[76,x] = F[77,x]+F[78,x]
F[77,x] = 2+F[77,x]^2+(-2+x)*F[77,x]
F[78,x] = F[79,x]
F[79,x] = F[16,x]*F[54,x]*F[77,x]
F[80,x,k[0]] = F[81,x,k[0]]
F[81,x,k[0]] = F[47,x,k[0]]*F[76,x]
F[82,x,k[0]] = k[0]*F[83,x,k[0]]
F[84,x,k[0]] = F[16,x]*F[83,x,k[0]]
F[67,x,k[0]] = F[15,x,k[0]]+F[6,x]+F[84,x,k[0]]+F[85,x,k[0]]+F[86,x,k[0]]
F[85,x,k[0]] = F[20,x,k[0]]*F[34,x,k[0]]
F[86,x,k[0]] = F[16,x]*F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = (F[67,x,k[0]]*k[0]-F[67,x,1])/(-1+k[0])
F[89,x,k[0]] = F[16,x]*F[90,x,k[0]]
F[90,x,k[0]] = F[183,x,k[0]]+F[91,x]
F[91,x] = 1/F[16,x]*F[92,x]
F[92,x] = -F[1,x]-F[95,x]-F[97,x]+F[93,x]
F[93,x] = F[4,x]+F[94,x]
F[94,x] = F[5,x]
F[95,x] = F[16,x]*F[96,x]
F[96,x] = F[0,x]+F[10,x]
F[97,x] = F[16,x]*F[98,x]
F[98,x] = -F[100,x]+F[99,x]
F[99,x] = F[62,x,1]
F[100,x] = 1/F[16,x]*F[101,x]
F[101,x] = -F[178,x]-F[180,x]-F[181,x]-F[6,x]+F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[16,x]
F[104,x] = F[105,x]+F[108,x]
F[105,x] = F[106,x,1]
F[107,x,k[0]] = F[106,x,k[0]]*F[20,x,k[0]]
F[107,x,k[0]] = F[30,x,k[0]]
F[108,x] = F[109,x]+F[115,x]+F[169,x]+F[6,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[16,x]
F[111,x] = 1/F[16,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x,1]
F[17,x,k[0]] = F[114,x,k[0]]+F[96,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[16,x]
F[117,x] = -F[130,x]+F[118,x]
F[118,x] = 1/F[16,x]*F[119,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x,1]
F[122,x,k[0]] = F[121,x,k[0]]*F[16,x]
F[123,x,k[0]] = F[122,x,k[0]]+F[126,x,k[0]]+F[127,x,k[0]]+F[19,x,k[0]]+F[6,x]
F[18,x,k[0]] = F[123,x,k[0]]+F[124,x]
F[124,x] = F[125,x]+F[96,x]
F[125,x] = F[5,x]
F[126,x,k[0]] = F[114,x,k[0]]*F[16,x]
F[127,x,k[0]] = F[128,x,k[0]]*F[16,x]
F[128,x,k[0]] = -k[0]*(F[129,x,1]-F[129,x,k[0]])/(-1+k[0])
F[14,x,k[0]] = F[129,x,k[0]]+F[93,x]
F[130,x] = F[131,x,1]
F[132,x,k[0]] = F[131,x,k[0]]*F[16,x]
F[133,x,k[0]] = F[132,x,k[0]]+F[32,x,k[0]]
F[134,x,k[0]] = F[133,x,k[0]]+F[137,x,k[0]]
F[135,x,k[0]] = F[134,x,k[0]]*F[16,x]
F[135,x,k[0]] = F[136,x,k[0]]
F[136,x,k[0]] = F[106,x,k[0]]*F[16,x]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[139,x,k[0]]*F[16,x]
F[139,x,k[0]] = F[140,x,k[0]]+F[168,x,k[0]]
F[141,x,k[0]] = F[140,x,k[0]]+F[164,x,k[0]]
F[142,x,k[0]] = F[141,x,k[0]]*F[16,x]
F[142,x,k[0]] = F[143,x,k[0]]
F[143,x,k[0]] = F[144,x]+F[148,x,k[0]]+F[6,x]
F[144,x] = F[145,x]*F[16,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[16,x]*F[76,x]
F[147,x] = F[36,x,1]
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]*F[16,x]
F[150,x,k[0]] = F[151,x,k[0]]+F[158,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]+F[156,x]
F[152,x,k[0]] = (F[153,x,k[0]]*k[0]-F[153,x,1])/(-1+k[0])
F[154,x,k[0]] = F[153,x,k[0]]*F[20,x,k[0]]
F[154,x,k[0]] = F[155,x,k[0]]
F[13,x,k[0]] = F[155,x,k[0]]+F[4,x]
F[156,x] = F[157,x,1]
F[36,x,k[0]] = F[153,x,k[0]]+F[157,x,k[0]]
F[158,x,k[0]] = F[159,x,k[0]]
F[159,x,k[0]] = (F[160,x,k[0]]*k[0]-F[160,x,1])/(-1+k[0])
F[160,x,k[0]] = F[161,x,k[0]]
F[161,x,k[0]] = F[16,x]*F[162,x,k[0]]
F[163,x,k[0]] = F[162,x,k[0]]*F[20,x,k[0]]
F[163,x,k[0]] = F[157,x,k[0]]
F[164,x,k[0]] = (F[165,x,k[0]]*k[0]-F[165,x,1])/(-1+k[0])
F[166,x,k[0]] = F[16,x]*F[165,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]
F[167,x,k[0]] = F[16,x]*F[160,x,k[0]]
F[168,x,k[0]] = k[0]*F[164,x,k[0]]
F[169,x] = F[170,x]
F[170,x] = F[171,x,1]
F[171,x,k[0]] = F[16,x]*F[172,x,k[0]]
F[172,x,k[0]] = (F[173,x,k[0]]*k[0]-F[173,x,1])/(-1+k[0])
F[174,x,k[0]] = F[173,x,k[0]]+F[176,x,k[0]]
F[175,x,k[0]] = F[174,x,k[0]]*F[20,x,k[0]]
F[175,x,k[0]] = F[129,x,k[0]]
F[176,x,k[0]] = F[153,x,k[0]]+F[177,x,k[0]]
F[177,x,k[0]] = F[160,x,k[0]]
F[178,x] = F[179,x,1]
F[179,x,k[0]] = F[114,x,k[0]]*F[20,x,k[0]]
F[180,x] = F[31,x,1]
F[181,x] = F[182,x,1]
F[182,x,k[0]] = F[16,x]*F[183,x,k[0]]
F[183,x,k[0]] = F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]*F[20,x,k[0]]
F[185,x,k[0]] = F[150,x,k[0]]+F[186,x,k[0]]
F[186,x,k[0]] = F[172,x,k[0]]
F[187,x] = F[188,x]
F[188,x] = F[16,x]*F[189,x]
F[189,x] = F[190,x]+F[75,x]
F[190,x] = F[12,x]*F[5,x]
F[191,x] = F[16,x]*F[29,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_{16}\! \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_{191}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{16}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{4}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{187}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right) F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x , 1\right)
F_{14}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{15}\! \left(x , y\right)+F_{19}\! \left(x , y\right)+F_{61}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{17}\! \left(x , y\right)
F_{16}\! \left(x \right) = x
F_{18}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{34}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{15}\! \left(x , y\right)+F_{19}\! \left(x , y\right)+F_{21}\! \left(x , y\right)+F_{59}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{18}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{20}\! \left(x , y\right) = y x
F_{21}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{23}\! \left(x , y\right)
F_{23}\! \left(x , y\right) = F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x , y\right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{14}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x , 1\right)
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)+F_{38}\! \left(x , y\right)+F_{57}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{31}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = y F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{36}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{36}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = y F_{28}\! \left(x \right)
F_{48}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{49}\! \left(x , y\right)+F_{50}\! \left(x , y\right)+F_{55}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{48}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{48}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{48}\! \left(x , y\right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{48}\! \left(x , 1\right)
F_{55}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = -\frac{-F_{48}\! \left(x , y\right) y +F_{48}\! \left(x , 1\right)}{-1+y}
F_{57}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = -\frac{y \left(F_{30}\! \left(x , 1\right)-F_{30}\! \left(x , y\right)\right)}{-1+y}
F_{59}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{60}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = -\frac{-F_{14}\! \left(x , y\right) y +F_{14}\! \left(x , 1\right)}{-1+y}
F_{61}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{63}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{63}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{68}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = y F_{67}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{69}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{71}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{72}\! \left(x , y\right)+F_{74}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{73}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{28}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{78}\! \left(x \right)
F_{77}\! \left(x \right) = F_{77}\! \left(x \right) x +F_{77} \left(x \right)^{2}-2 F_{77}\! \left(x \right)+2
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{16}\! \left(x \right) F_{54}\! \left(x \right) F_{77}\! \left(x \right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{47}\! \left(x , y\right) F_{76}\! \left(x \right)
F_{82}\! \left(x , y\right) = y F_{83}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{67}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{6}\! \left(x \right)+F_{84}\! \left(x , y\right)+F_{85}\! \left(x , y\right)+F_{86}\! \left(x , y\right)
F_{85}\! \left(x , y\right) = F_{20}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = -\frac{-y F_{67}\! \left(x , y\right)+F_{67}\! \left(x , 1\right)}{-1+y}
F_{89}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{183}\! \left(x , y\right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = \frac{F_{92}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{92}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{95}\! \left(x \right)-F_{97}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{4}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{5}\! \left(x \right)
F_{95}\! \left(x \right) = F_{16}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{97}\! \left(x \right) = F_{16}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{62}\! \left(x , 1\right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{101}\! \left(x \right) = -F_{178}\! \left(x \right)-F_{180}\! \left(x \right)-F_{181}\! \left(x \right)-F_{6}\! \left(x \right)+F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{16}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{108}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x , 1\right)
F_{107}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{115}\! \left(x \right)+F_{169}\! \left(x \right)+F_{6}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{16}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x , 1\right)
F_{17}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{96}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{16}\! \left(x \right)
F_{117}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = \frac{F_{119}\! \left(x \right)}{F_{16}\! \left(x \right)}
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x , 1\right)
F_{122}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{123}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{126}\! \left(x , y\right)+F_{127}\! \left(x , y\right)+F_{19}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{18}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{96}\! \left(x \right)
F_{125}\! \left(x \right) = F_{5}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{114}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{128}\! \left(x , y\right) = -\frac{y \left(F_{129}\! \left(x , 1\right)-F_{129}\! \left(x , y\right)\right)}{-1+y}
F_{14}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{93}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x , 1\right)
F_{132}\! \left(x , y\right) = F_{131}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{133}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{137}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{134}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{139}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{168}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{140}\! \left(x , y\right)+F_{164}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{141}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{144}\! \left(x \right)+F_{148}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{16}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{16}\! \left(x \right) F_{76}\! \left(x \right)
F_{147}\! \left(x \right) = F_{36}\! \left(x , 1\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right) F_{16}\! \left(x \right)
F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{152}\! \left(x , y\right)+F_{156}\! \left(x \right)
F_{152}\! \left(x , y\right) = -\frac{-F_{153}\! \left(x , y\right) y +F_{153}\! \left(x , 1\right)}{-1+y}
F_{154}\! \left(x , y\right) = F_{153}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{155}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{155}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x , 1\right)
F_{36}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{157}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = -\frac{-F_{160}\! \left(x , y\right) y +F_{160}\! \left(x , 1\right)}{-1+y}
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{162}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{162}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{163}\! \left(x , y\right) = F_{157}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = -\frac{-F_{165}\! \left(x , y\right) y +F_{165}\! \left(x , 1\right)}{-1+y}
F_{166}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{165}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{160}\! \left(x , y\right)
F_{168}\! \left(x , y\right) = y F_{164}\! \left(x , y\right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x , 1\right)
F_{171}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = -\frac{-y F_{173}\! \left(x , y\right)+F_{173}\! \left(x , 1\right)}{-1+y}
F_{174}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{176}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{174}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{176}\! \left(x , y\right) = F_{153}\! \left(x , y\right)+F_{177}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{160}\! \left(x , y\right)
F_{178}\! \left(x \right) = F_{179}\! \left(x , 1\right)
F_{179}\! \left(x , y\right) = F_{114}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{180}\! \left(x \right) = F_{31}\! \left(x , 1\right)
F_{181}\! \left(x \right) = F_{182}\! \left(x , 1\right)
F_{182}\! \left(x , y\right) = F_{16}\! \left(x \right) F_{183}\! \left(x , y\right)
F_{183}\! \left(x , y\right) = F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right) F_{20}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{186}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{16}\! \left(x \right) F_{189}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{75}\! \left(x \right)
F_{190}\! \left(x \right) = F_{12}\! \left(x \right) F_{5}\! \left(x \right)
F_{191}\! \left(x \right) = F_{16}\! \left(x \right) F_{29}\! \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_16(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_191(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_16(x)*F_8(x))
Eq(F_8(x), F_4(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_187(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_0(x)*F_12(x)*F_16(x))
Eq(F_12(x), F_13(x, 1))
Eq(F_14(x, k_0), F_13(x, k_0) + F_67(x, k_0))
Eq(F_14(x, k_0), F_1(x) + F_15(x, k_0) + F_19(x, k_0) + F_61(x, k_0) + F_89(x, k_0))
Eq(F_15(x, k_0), F_16(x)*F_17(x, k_0))
Eq(F_16(x), x)
Eq(F_18(x, k_0), F_17(x, k_0) + F_34(x, k_0))
Eq(F_18(x, k_0), F_1(x) + F_15(x, k_0) + F_19(x, k_0) + F_21(x, k_0) + F_59(x, k_0))
Eq(F_19(x, k_0), F_18(x, k_0)*F_20(x, k_0))
Eq(F_20(x, k_0), k_0*x)
Eq(F_21(x, k_0), F_16(x)*F_22(x, k_0))
Eq(F_22(x, k_0), F_14(x, k_0) + F_23(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0))
Eq(F_24(x, k_0), F_16(x)*F_25(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0) + F_27(x, k_0))
Eq(F_26(x, k_0), F_12(x)*F_14(x, k_0))
Eq(F_27(x, k_0), F_28(x)*F_48(x, k_0))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x, 1))
Eq(F_30(x, k_0), F_31(x, k_0) + F_38(x, k_0) + F_57(x, k_0) + F_6(x))
Eq(F_31(x, k_0), F_20(x, k_0)*F_32(x, k_0))
Eq(F_32(x, k_0), F_17(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), k_0*F_34(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_35(x, k_0), F_16(x)*F_36(x, k_0))
Eq(F_37(x, k_0), F_20(x, k_0)*F_36(x, k_0))
Eq(F_37(x, k_0), F_30(x, k_0))
Eq(F_38(x, k_0), F_16(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0))
Eq(F_40(x, k_0), F_30(x, k_0) + F_41(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_16(x)*F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_45(x, k_0))
Eq(F_44(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_47(x, k_0)*F_48(x, k_0))
Eq(F_47(x, k_0), k_0*F_28(x))
Eq(F_48(x, k_0), F_1(x) + F_49(x, k_0) + F_50(x, k_0) + F_55(x, k_0))
Eq(F_49(x, k_0), F_20(x, k_0)*F_48(x, k_0))
Eq(F_50(x, k_0), F_16(x)*F_51(x, k_0))
Eq(F_51(x, k_0), F_48(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0))
Eq(F_53(x, k_0), F_16(x)*F_48(x, k_0)*F_54(x))
Eq(F_54(x), F_48(x, 1))
Eq(F_55(x, k_0), F_16(x)*F_56(x, k_0))
Eq(F_56(x, k_0), (-k_0*F_48(x, k_0) + F_48(x, 1))/(1 - k_0))
Eq(F_57(x, k_0), F_16(x)*F_58(x, k_0))
Eq(F_58(x, k_0), -F_30(x, 1) + (-k_0*F_30(x, k_0) + F_30(x, 1))/(1 - k_0))
Eq(F_59(x, k_0), F_16(x)*F_60(x, k_0))
Eq(F_60(x, k_0), (-k_0*F_14(x, k_0) + F_14(x, 1))/(1 - k_0))
Eq(F_61(x, k_0), F_16(x)*F_62(x, k_0))
Eq(F_62(x, k_0), F_63(x, k_0) + F_83(x, k_0))
Eq(F_64(x, k_0), F_63(x, k_0) + F_82(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0) + F_68(x, k_0))
Eq(F_65(x, k_0), F_13(x, k_0) + F_66(x, k_0))
Eq(F_66(x, k_0), k_0*F_67(x, k_0))
Eq(F_67(x, k_0), F_35(x, k_0))
Eq(F_68(x, k_0), F_69(x, k_0))
Eq(F_69(x, k_0), F_16(x)*F_70(x, k_0))
Eq(F_70(x, k_0), F_71(x, k_0) + F_80(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0) + F_74(x, k_0))
Eq(F_72(x, k_0), F_46(x, k_0) + F_73(x, k_0))
Eq(F_73(x, k_0), F_12(x)*F_65(x, k_0))
Eq(F_74(x, k_0), F_75(x))
Eq(F_75(x), F_28(x)*F_76(x))
Eq(F_76(x), F_77(x) + F_78(x))
Eq(F_77(x), (x - 2)*F_77(x) + F_77(x)**2 + 2)
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_16(x)*F_54(x)*F_77(x))
Eq(F_80(x, k_0), F_81(x, k_0))
Eq(F_81(x, k_0), F_47(x, k_0)*F_76(x))
Eq(F_82(x, k_0), k_0*F_83(x, k_0))
Eq(F_84(x, k_0), F_16(x)*F_83(x, k_0))
Eq(F_67(x, k_0), F_15(x, k_0) + F_6(x) + F_84(x, k_0) + F_85(x, k_0) + F_86(x, k_0))
Eq(F_85(x, k_0), F_20(x, k_0)*F_34(x, k_0))
Eq(F_86(x, k_0), F_16(x)*F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), (-k_0*F_67(x, k_0) + F_67(x, 1))/(1 - k_0))
Eq(F_89(x, k_0), F_16(x)*F_90(x, k_0))
Eq(F_90(x, k_0), F_183(x, k_0) + F_91(x))
Eq(F_91(x), F_92(x)/F_16(x))
Eq(F_92(x), -F_1(x) + F_93(x) - F_95(x) - F_97(x))
Eq(F_93(x), F_4(x) + F_94(x))
Eq(F_94(x), F_5(x))
Eq(F_95(x), F_16(x)*F_96(x))
Eq(F_96(x), F_0(x) + F_10(x))
Eq(F_97(x), F_16(x)*F_98(x))
Eq(F_98(x), -F_100(x) + F_99(x))
Eq(F_99(x), F_62(x, 1))
Eq(F_100(x), F_101(x)/F_16(x))
Eq(F_101(x), F_102(x) - F_178(x) - F_180(x) - F_181(x) - F_6(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_16(x))
Eq(F_104(x), F_105(x) + F_108(x))
Eq(F_105(x), F_106(x, 1))
Eq(F_107(x, k_0), F_106(x, k_0)*F_20(x, k_0))
Eq(F_107(x, k_0), F_30(x, k_0))
Eq(F_108(x), F_109(x) + F_115(x) + F_169(x) + F_6(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_16(x))
Eq(F_111(x), F_112(x)/F_16(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x, 1))
Eq(F_17(x, k_0), F_114(x, k_0) + F_96(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_16(x))
Eq(F_117(x), F_118(x) - F_130(x))
Eq(F_118(x), F_119(x)/F_16(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x, 1))
Eq(F_122(x, k_0), F_121(x, k_0)*F_16(x))
Eq(F_123(x, k_0), F_122(x, k_0) + F_126(x, k_0) + F_127(x, k_0) + F_19(x, k_0) + F_6(x))
Eq(F_18(x, k_0), F_123(x, k_0) + F_124(x))
Eq(F_124(x), F_125(x) + F_96(x))
Eq(F_125(x), F_5(x))
Eq(F_126(x, k_0), F_114(x, k_0)*F_16(x))
Eq(F_127(x, k_0), F_128(x, k_0)*F_16(x))
Eq(F_128(x, k_0), -F_129(x, 1) + (-k_0*F_129(x, k_0) + F_129(x, 1))/(1 - k_0))
Eq(F_14(x, k_0), F_129(x, k_0) + F_93(x))
Eq(F_130(x), F_131(x, 1))
Eq(F_132(x, k_0), F_131(x, k_0)*F_16(x))
Eq(F_133(x, k_0), F_132(x, k_0) + F_32(x, k_0))
Eq(F_134(x, k_0), F_133(x, k_0) + F_137(x, k_0))
Eq(F_135(x, k_0), F_134(x, k_0)*F_16(x))
Eq(F_135(x, k_0), F_136(x, k_0))
Eq(F_136(x, k_0), F_106(x, k_0)*F_16(x))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_139(x, k_0)*F_16(x))
Eq(F_139(x, k_0), F_140(x, k_0) + F_168(x, k_0))
Eq(F_141(x, k_0), F_140(x, k_0) + F_164(x, k_0))
Eq(F_142(x, k_0), F_141(x, k_0)*F_16(x))
Eq(F_142(x, k_0), F_143(x, k_0))
Eq(F_143(x, k_0), F_144(x) + F_148(x, k_0) + F_6(x))
Eq(F_144(x), F_145(x)*F_16(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_16(x)*F_76(x))
Eq(F_147(x), F_36(x, 1))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0)*F_16(x))
Eq(F_150(x, k_0), F_151(x, k_0) + F_158(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0) + F_156(x))
Eq(F_152(x, k_0), (-k_0*F_153(x, k_0) + F_153(x, 1))/(1 - k_0))
Eq(F_154(x, k_0), F_153(x, k_0)*F_20(x, k_0))
Eq(F_154(x, k_0), F_155(x, k_0))
Eq(F_13(x, k_0), F_155(x, k_0) + F_4(x))
Eq(F_156(x), F_157(x, 1))
Eq(F_36(x, k_0), F_153(x, k_0) + F_157(x, k_0))
Eq(F_158(x, k_0), F_159(x, k_0))
Eq(F_159(x, k_0), (-k_0*F_160(x, k_0) + F_160(x, 1))/(1 - k_0))
Eq(F_160(x, k_0), F_161(x, k_0))
Eq(F_161(x, k_0), F_16(x)*F_162(x, k_0))
Eq(F_163(x, k_0), F_162(x, k_0)*F_20(x, k_0))
Eq(F_163(x, k_0), F_157(x, k_0))
Eq(F_164(x, k_0), (-k_0*F_165(x, k_0) + F_165(x, 1))/(1 - k_0))
Eq(F_166(x, k_0), F_16(x)*F_165(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0))
Eq(F_167(x, k_0), F_16(x)*F_160(x, k_0))
Eq(F_168(x, k_0), k_0*F_164(x, k_0))
Eq(F_169(x), F_170(x))
Eq(F_170(x), F_171(x, 1))
Eq(F_171(x, k_0), F_16(x)*F_172(x, k_0))
Eq(F_172(x, k_0), (-k_0*F_173(x, k_0) + F_173(x, 1))/(1 - k_0))
Eq(F_174(x, k_0), F_173(x, k_0) + F_176(x, k_0))
Eq(F_175(x, k_0), F_174(x, k_0)*F_20(x, k_0))
Eq(F_175(x, k_0), F_129(x, k_0))
Eq(F_176(x, k_0), F_153(x, k_0) + F_177(x, k_0))
Eq(F_177(x, k_0), F_160(x, k_0))
Eq(F_178(x), F_179(x, 1))
Eq(F_179(x, k_0), F_114(x, k_0)*F_20(x, k_0))
Eq(F_180(x), F_31(x, 1))
Eq(F_181(x), F_182(x, 1))
Eq(F_182(x, k_0), F_16(x)*F_183(x, k_0))
Eq(F_183(x, k_0), F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0)*F_20(x, k_0))
Eq(F_185(x, k_0), F_150(x, k_0) + F_186(x, k_0))
Eq(F_186(x, k_0), F_172(x, k_0))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_16(x)*F_189(x))
Eq(F_189(x), F_190(x) + F_75(x))
Eq(F_190(x), F_12(x)*F_5(x))
Eq(F_191(x), F_16(x)*F_29(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "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": true, "place_col": false}]], "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, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "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": [3, 0, 1, 4, 2], "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]]}], "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": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0], "pos": [[4, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [3, 2], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [3, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [3, 0], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [3, 2], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[3, 0], [3, 0], [4, 0]]}, {"patt": [0, 1, 2], "pos": [[3, 0], [3, 0], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[3, 0], [3, 2], [4, 2]]}, {"patt": [0, 1, 2], "pos": [[3, 2], [3, 2], [4, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [3, 2], [4, 2]]}, {"patt": [0, 2, 1], "pos": 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