01324_01342_01432_03124_03142_03412_04132_04312

Counting sequence:
1, 1, 2, 6, 24, 112, 568, 3024, 16600, 93008, 528632, 3036016, 17572504, 102318256, 598547640, 3514448784, 20697555288, 122193434256, 722870024568, 4283626417712, 25420652476696, 151040171643632, 898365403478840, 5348177958053200, 31863910803613144, 189971863888481232, 1133286919217296888, 6764252546801191664, 40392674250900726680, 241304556987475797808, 1442078674261088894392, 8620965459242992376080, 51552719499645670469208, 308363556187027745995536, 1844925997351610277865080, 11040514128223244647741872, 66082315332681015545971224, 395602452858134015816904048, 2368664245230016163201287224, 14184453998834111909135410896, 84953401919612475669843221208, 508865463553505098270332359760, 3048419639120795432530261060344, 18263838744751984221148237695600, 109433748233891951807135352386712, 655766290852357203038419393631664, 3929909229677349335413404998102712, 23553142323911958397797050606771856, 141171045908466019691883604775291736, 846195281443214390393745178475284368, 5072495907584836676143846757313307512, 30408645418131385101355569033294974256, 182303492723355215113858607886127061784, 1092984177330474244850809376310892613616, 6553182839997611945350372280107409661240, 39292430290819285187942984218969756913744, 235603896792641746644069869433142840696792, 1412771389199118808824608205966302545134800, 8471808233740453634181739799956122632974328, 50803564462877744243798187420413990218961392, 304666851830522603623852289945652898768639384, 1827125404106187418035816394588331595629349936, 10957787518356363319009818885466190907713155000, 65718562305105932645369180322825950790201379856, 394151548346267801568845770011979849599700695128, 2364001857242062353838178497044297008731942861840, 14178856783954684034569254135758517129834057920632, 85043850633735642443151606677631618893361776814256, 510096591765192347793484568597225600571930119881752, 3059632562116368706716604461020498509571804507044464, 18352407564040475912906823623647881111086915398551096, 110083780391274563376581340049873379220439265792451024, 660328087321539134260921645196844856377175732773860568, 3960974093435121164326047252963805973149229441701010768, 23760178697855615355864045370589433286625605870322681080, 142528779633083221046919586896356297085073741887412494704, 854988566971519191593963917794935079161142083928533239448, 5128881393158126721665195991626252332221304651025552345776, 30767298187348313536912183601243677376962558664287067111608, 184569605758701753519752665609402847304260420197559135117712, 1107222508145840127243819847625598462938048095345415949858136, 6642220909326942954586042383586679320820573035421290767472784, 39846962158559701663172848892630157707110245472892474900663672, 239045419902874890968339318370587686683834765146280496807693360, 1434064783090131127747700904982965619996062821823843650940632344, 8603201306347830684277691957517485245410459945055045462625791216, 51612419190060572162710999121785450492248208835185467642356645688, 309635693212729945019710652548791500309304339557489660160848534352, 1857592097896450889533454144717424557032837434379133365921767152088, 11144282105031524926952848647532006962419563654180591316911601868240, 66858422176483784611114768334722176920167916867559057510090560760312, 401108918109734422215396370061714106610716252739036482009807355214064, 2406415260265587071910807396569854189159776102871956042054240785303448, 14437127288849578616927488240499986270398055885671481768057999043072304, 86614949956928542305349145083707964597519928355209313523747328841589176, 519644937969720693789264729678148512784351680031994282646887295985655568, 3117613156870598473446554221570652262800110930416843865366027456851542616, 18704209162970334779934534260061686559529733518529960322809373469278543120, 112216830434241572631500237399408730259886268911255906348948021517720844920, 673252685609707100454254897800555228839407623744519745517649516080253417392, 4039239182814913386304312081265634400956794326536522830221403536049067689496

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24506/
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[11,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[28,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[12,x,k[0]]+F[5,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[11,x]
F[10,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[11,x] = x
F[12,x,k[0]] = F[13,x,k[0]]*F[28,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0],1]
F[14,x,k[0],k[1]] = F[15,x,k[0],k[0]*k[1]]
F[16,x,k[0],k[1]] = F[15,x,k[0],k[1]]*F[28,x,k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[134,x,k[0],k[1]]+F[18,x]+F[19,x,k[0],k[1]]
F[18,x] = 0
F[19,x,k[0],k[1]] = F[11,x]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = F[21,x,1,k[0],k[1]]
F[21,x,k[0],k[1],k[2]] = F[18,x]+F[22,x,k[0],k[1],k[2]]+F[24,x,k[0],k[1],k[2]]+F[29,x,k[0],k[1],k[2]]+F[32,x,k[0],k[1],k[2]]
F[22,x,k[0],k[1],k[2]] = F[11,x]*F[23,x,k[0],k[1],k[2]]
F[23,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[21,x,k[0],k[1],k[2]]*k[0]-F[21,x,1,k[1],k[2]])
F[24,x,k[0],k[1],k[2]] = F[25,x,k[0],k[1],k[2]]*F[28,x,k[0]]
F[25,x,k[0],k[1],k[2]] = (F[26,x,k[0],1,k[2]]*k[0]-F[26,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[26,x,k[0],k[1],k[2]] = F[27,x,k[0],k[0]*k[1],k[2]]
F[27,x,k[0],k[1],k[2]] = k[2]*(F[17,x,k[0],k[1]]-F[17,x,k[0],k[2]])/(-k[2]+k[1])
F[28,x,k[0]] = k[0]*x
F[29,x,k[0],k[1],k[2]] = F[28,x,k[1]]*F[30,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = (-F[31,x,1,k[1],k[2]]*k[1]+F[31,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[31,x,k[0],k[1],k[2]] = F[27,x,k[0]*k[1],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[28,x,k[2]]*F[33,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[133,x,k[0],k[1],k[2]]+F[34,x,k[0],k[2]]
F[34,x,k[0],k[1]] = F[131,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[36,x,k[1]]+F[83,x,k[0],k[1]]
F[36,x,k[0]] = F[1,x]+F[37,x,k[0]]+F[46,x,k[0]]
F[37,x,k[0]] = F[11,x]*F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,1,k[0]]
F[39,x,k[0],k[1]] = F[1,x]+F[40,x,k[0],k[1]]+F[42,x,k[0],k[1]]+F[45,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[11,x]*F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = 1/(-1+k[0])*(F[39,x,k[0],k[1]]*k[0]-F[39,x,1,k[1]])
F[42,x,k[0],k[1]] = F[28,x,k[0]]*F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],1]*k[0]-F[44,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[44,x,k[0],k[1]] = F[35,x,k[0],k[0]*k[1]]
F[45,x,k[0],k[1]] = F[28,x,k[1]]*F[34,x,k[0],k[1]]
F[46,x,k[0]] = F[28,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = F[36,x,k[0]]+F[48,x,k[0]]
F[48,x,k[0]] = k[0]*F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[11,x]*F[51,x,k[0]]
F[51,x,k[0]] = F[0,x]+F[120,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[11,x]*F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,1,k[0]]
F[54,x,k[0],k[1]] = F[130,x,k[0],k[1]]+F[5,x,k[0]]+F[55,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[11,x]*F[56,x,k[0],k[1]]
F[56,x,k[0],k[1]] = 1/(-1+k[0])*(F[54,x,k[0],k[1]]*k[0]-F[54,x,1,k[1]])
F[57,x,k[0],k[1]] = F[28,x,k[0]]*F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[127,x,k[0]]+F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[126,x,k[0]]+F[60,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[113,x,k[0],k[1]]+F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0],1]
F[63,x,k[0],k[1]] = F[121,x,k[0],k[1]]+F[62,x,k[0],k[1]]
F[63,x,k[0],k[1]] = F[64,x,k[0],k[0]*k[1]]
F[15,x,k[0],k[1]] = F[64,x,k[0],k[1]]+F[65,x,k[0],k[1]]
F[65,x,k[0],k[1]] = F[66,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[67,x,k[0],1,k[1]]
F[67,x,k[0],k[1],k[2]] = k[1]*k[2]*F[68,x,k[0],k[1],k[2]]
F[68,x,k[0],k[1],k[2]] = F[69,x,k[0],k[1],k[2]]
F[69,x,k[0],k[1],k[2]] = F[11,x]*F[70,x,k[0],k[1],k[2]]
F[70,x,k[0],k[1],k[2]] = F[71,x,k[0],k[1],1,k[2]]
F[71,x,k[0],k[1],k[2],k[3]] = (F[72,x,k[0],k[1],k[2]*k[3]]*k[2]-F[72,x,k[0],k[1],k[3]])/(k[2]-1)
F[72,x,k[0],k[1],k[2]] = F[73,x,k[0]*k[1],k[1]*k[2]]
F[74,x,k[0],k[1]] = F[28,x,k[1]]*F[73,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[75,x,k[0],k[1]]
F[75,x,k[0],k[1]] = F[112,x,k[0],k[1]]+F[120,x,k[1]]+F[18,x]+F[76,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[11,x]*F[77,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[108,x,k[0],k[1]]+F[77,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[28,x,k[0]]*F[78,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[80,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[11,x]*F[80,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[106,x,k[0],k[1]]+F[18,x]+F[81,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[6,x,k[0]]+F[82,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[18,x]+F[42,x,k[0],k[1]]+F[84,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[11,x]*F[85,x,k[0],k[1]]
F[85,x,k[0],k[1]] = F[86,x,1,k[0],k[1]]
F[86,x,k[0],k[1],k[2]] = F[18,x]+F[87,x,k[0],k[1],k[2]]+F[89,x,k[0],k[1],k[2]]+F[93,x,k[0],k[1],k[2]]+F[97,x,k[0],k[1],k[2]]
F[87,x,k[0],k[1],k[2]] = F[11,x]*F[88,x,k[0],k[1],k[2]]
F[88,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[86,x,k[0],k[1],k[2]]*k[0]-F[86,x,1,k[1],k[2]])
F[89,x,k[0],k[1],k[2]] = F[28,x,k[0]]*F[90,x,k[0],k[1],k[2]]
F[90,x,k[0],k[1],k[2]] = k[1]*(F[91,x,k[0],1,k[2]]-F[91,x,k[0],k[1]/k[0],k[2]])/(-k[1]+k[0])
F[91,x,k[0],k[1],k[2]] = k[0]*k[1]*(F[92,x,k[0],k[1]]-F[92,x,k[0],k[2]/k[0]])/(k[0]*k[1]-k[2])
F[92,x,k[0],k[1]] = F[17,x,k[0],k[0]*k[1]]
F[93,x,k[0],k[1],k[2]] = F[28,x,k[1]]*F[94,x,k[0],k[1],k[2]]
F[94,x,k[0],k[1],k[2]] = (-F[95,x,1,k[1],k[2]]*k[1]+F[95,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[95,x,k[0],k[1],k[2]] = F[96,x,k[0]*k[1],k[1],k[2]]
F[96,x,k[0],k[1],k[2]] = (F[35,x,k[0],k[1]]*k[1]-F[35,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[97,x,k[0],k[1],k[2]] = F[98,x,k[0],k[1],k[2]]
F[98,x,k[0],k[1],k[2]] = F[28,x,k[2]]*F[99,x,k[0],k[1],k[2]]
F[99,x,k[0],k[1],k[2]] = k[1]*F[100,x,k[0],k[2]]
F[100,x,k[0],k[1]] = F[101,x,k[0],k[1]]
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]*F[11,x]
F[102,x,k[0],k[1]] = F[75,x,k[0],k[1]]+F[8,x,k[0]]
F[103,x,k[0],k[1]] = F[104,x,k[0],k[1]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]*F[28,x,k[1]]
F[105,x,k[0],k[1]] = k[0]*F[49,x,k[1]]
F[106,x,k[0],k[1]] = F[107,x,k[0],k[1]]*F[28,x,k[0]]
F[107,x,k[0],k[1]] = k[1]*(F[92,x,k[0],1]-F[92,x,k[0],k[1]/k[0]])/(-k[1]+k[0])
F[108,x,k[0],k[1]] = 1/(-1+k[0])*(F[109,x,k[0],k[1]]*k[0]-F[109,x,1,k[1]])
F[110,x,k[0],k[1]] = F[109,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[111,x,k[0],k[1]] = F[110,x,k[0],k[1]]*F[28,x,k[0]]
F[111,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[112,x,k[0],k[1]] = F[113,x,k[0],k[1]]*F[28,x,k[0]]
F[113,x,k[0],k[1]] = F[114,x,k[1],k[0]]
F[114,x,k[0],k[1]] = F[115,x,k[0],k[1]]*F[118,x,k[0]]
F[115,x,k[0],k[1]] = F[116,x,k[1],k[0]]
F[116,x,k[0],k[1]] = (F[117,x,k[0],1]*k[0]-F[117,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[117,x,k[0],k[1]] = F[72,x,1,k[0],k[1]]
F[118,x,k[0]] = F[119,x,k[0]]
F[119,x,k[0]] = k[0]*x
F[120,x,k[0]] = F[28,x,k[0]]*F[51,x,k[0]]
F[121,x,k[0],k[1]] = k[0]*F[122,x,k[0],k[1]]
F[122,x,k[0],k[1]] = F[123,x,k[0],k[1]]
F[123,x,k[0],k[1]] = F[11,x]*F[124,x,k[0],k[1]]
F[124,x,k[0],k[1]] = F[125,x,1,k[0],k[1]]
F[125,x,k[0],k[1],k[2]] = (F[72,x,k[0],k[1],k[2]]*k[0]-F[72,x,1,k[1],k[2]])/(-1+k[0])
F[126,x,k[0]] = F[121,x,k[0],1]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0],1]
F[129,x,k[0],k[1]] = F[66,x,k[0],k[0]*k[1]]
F[130,x,k[0],k[1]] = F[102,x,k[0],k[1]]*F[28,x,k[1]]
F[131,x,k[0],k[1]] = F[132,x,k[0],k[1],1]
F[132,x,k[0],k[1],k[2]] = F[99,x,k[0],k[1],k[1]*k[2]]
F[133,x,k[0],k[1],k[2]] = F[99,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1]] = F[135,x,k[0],k[1]]*F[28,x,k[1]]
F[135,x,k[0],k[1]] = F[136,x,k[0],k[1]]+F[47,x,k[1]]
F[136,x,k[0],k[1]] = F[105,x,k[0],k[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_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{7}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{5}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{11}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = -\frac{-F_{8}\! \left(x , y_{0}\right) y_{0}+F_{8}\! \left(x , 1\right)}{-1+y_{0}}
F_{11}\! \left(x \right) = x
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}, 1\right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{134}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{19}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{20}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , 1, y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x \right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{21}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{28}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{26}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{26}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{17}\! \left(x , y_{0}, y_{1}\right)-F_{17}\! \left(x , y_{0}, y_{2}\right)\right)}{-y_{2}+y_{1}}
F_{28}\! \left(x , y_{0}\right) = y_{0} x
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{1}\right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{31}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{31}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{2}\right) F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{34}\! \left(x , y_{0}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{131}\! \left(x , y_{0}, y_{1}\right)+F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{1}\right)+F_{83}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{37}\! \left(x , y_{0}\right)+F_{46}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{38}\! \left(x , y_{0}\right)
F_{38}\! \left(x , y_{0}\right) = F_{39}\! \left(x , 1, y_{0}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{40}\! \left(x , y_{0}, y_{1}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{39}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{39}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{44}\! \left(x , y_{0}, 1\right) y_{0}-F_{44}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right) F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = F_{36}\! \left(x , y_{0}\right)+F_{48}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}\right) = y_{0} F_{49}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{50}\! \left(x , y_{0}\right)
F_{50}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{51}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{120}\! \left(x , y_{0}\right)+F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{53}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , 1, y_{0}\right)
F_{54}\! \left(x , y_{0}, y_{1}\right) = F_{130}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)+F_{55}\! \left(x , y_{0}, y_{1}\right)+F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{55}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{56}\! \left(x , y_{0}, y_{1}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{54}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{54}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{57}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{127}\! \left(x , y_{0}\right)+F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{126}\! \left(x , y_{0}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}\right)
F_{61}\! \left(x , y_{0}\right) = F_{62}\! \left(x , y_{0}, 1\right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{121}\! \left(x , y_{0}, y_{1}\right)+F_{62}\! \left(x , y_{0}, y_{1}\right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{1}\right)+F_{65}\! \left(x , y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{66}\! \left(x , y_{0}, y_{1}\right) = F_{67}\! \left(x , y_{0}, 1, y_{1}\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} y_{2} F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{71}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{72}\! \left(x , y_{0}, y_{1}, y_{2} y_{3}\right) y_{2}+F_{72}\! \left(x , y_{0}, y_{1}, y_{3}\right)}{y_{2}-1}
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{73}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right) F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{75}\! \left(x , y_{0}, y_{1}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{112}\! \left(x , y_{0}, y_{1}\right)+F_{120}\! \left(x , y_{1}\right)+F_{18}\! \left(x \right)+F_{76}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)+F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{79}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{78}\! \left(x , y_{0}, y_{1}\right)
F_{79}\! \left(x , y_{0}, y_{1}\right) = F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{82}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)+F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}, y_{1}\right) = F_{6}\! \left(x , y_{0}\right)+F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{84}\! \left(x , y_{0}, y_{1}\right)
F_{84}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{85}\! \left(x , y_{0}, y_{1}\right)
F_{85}\! \left(x , y_{0}, y_{1}\right) = F_{86}\! \left(x , 1, y_{0}, y_{1}\right)
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x \right)+F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{86}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{0}\right) F_{90}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{90}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} \left(F_{91}\! \left(x , y_{0}, 1, y_{2}\right)-F_{91}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right)\right)}{-y_{1}+y_{0}}
F_{91}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} y_{1} \left(F_{92}\! \left(x , y_{0}, y_{1}\right)-F_{92}\! \left(x , y_{0}, \frac{y_{2}}{y_{0}}\right)\right)}{y_{0} y_{1}-y_{2}}
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{1}\right) F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{95}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{95}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{95}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{96}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{96}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{35}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{35}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}
F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{98}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{98}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{2}\right) F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{100}\! \left(x , y_{0}, y_{2}\right)
F_{100}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \left(x , y_{0}, y_{1}\right)
F_{101}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right) F_{11}\! \left(x \right)
F_{102}\! \left(x , y_{0}, y_{1}\right) = F_{75}\! \left(x , y_{0}, y_{1}\right)+F_{8}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{49}\! \left(x , y_{1}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{92}\! \left(x , y_{0}, 1\right)-F_{92}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)\right)}{-y_{1}+y_{0}}
F_{108}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{109}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{109}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{110}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right)+F_{75}\! \left(x , y_{0}, y_{1}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{112}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}, y_{1}\right) = F_{114}\! \left(x , y_{1}, y_{0}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{115}\! \left(x , y_{0}, y_{1}\right) F_{118}\! \left(x , y_{0}\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{1}, y_{0}\right)
F_{116}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{117}\! \left(x , y_{0}, 1\right) y_{0}-F_{117}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{117}\! \left(x , y_{0}, y_{1}\right) = F_{72}\! \left(x , 1, y_{0}, y_{1}\right)
F_{118}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)
F_{119}\! \left(x , y_{0}\right) = y_{0} x
F_{120}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{51}\! \left(x , y_{0}\right)
F_{121}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{122}\! \left(x , y_{0}, y_{1}\right)
F_{122}\! \left(x , y_{0}, y_{1}\right) = F_{123}\! \left(x , y_{0}, y_{1}\right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{124}\! \left(x , y_{0}, y_{1}\right)
F_{124}\! \left(x , y_{0}, y_{1}\right) = F_{125}\! \left(x , 1, y_{0}, y_{1}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-y_{0} F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{72}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{126}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}, 1\right)
F_{127}\! \left(x , y_{0}\right) = F_{128}\! \left(x , y_{0}\right)
F_{128}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}, 1\right)
F_{129}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{130}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{131}\! \left(x , y_{0}, y_{1}\right) = F_{132}\! \left(x , y_{0}, y_{1}, 1\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{99}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}\right) = F_{135}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{135}\! \left(x , y_{0}, y_{1}\right) = F_{136}\! \left(x , y_{0}, y_{1}\right)+F_{47}\! \left(x , y_{1}\right)
F_{136}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\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_11(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_28(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_12(x, k_0) + F_5(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_11(x))
Eq(F_10(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_11(x), x)
Eq(F_12(x, k_0), F_13(x, k_0)*F_28(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0, 1))
Eq(F_14(x, k_0, k_1), F_15(x, k_0, k_0*k_1))
Eq(F_16(x, k_0, k_1), F_15(x, k_0, k_1)*F_28(x, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_106(x, k_0, k_1) + F_134(x, k_0, k_1) + F_18(x) + F_19(x, k_0, k_1))
Eq(F_18(x), 0)
Eq(F_19(x, k_0, k_1), F_11(x)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, 1, k_0, k_1))
Eq(F_21(x, k_0, k_1, k_2), F_18(x) + F_22(x, k_0, k_1, k_2) + F_24(x, k_0, k_1, k_2) + F_29(x, k_0, k_1, k_2) + F_32(x, k_0, k_1, k_2))
Eq(F_22(x, k_0, k_1, k_2), F_11(x)*F_23(x, k_0, k_1, k_2))
Eq(F_23(x, k_0, k_1, k_2), (k_0*F_21(x, k_0, k_1, k_2) - F_21(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_24(x, k_0, k_1, k_2), F_25(x, k_0, k_1, k_2)*F_28(x, k_0))
Eq(F_25(x, k_0, k_1, k_2), (-k_0*F_26(x, k_0, 1, k_2) + k_1*F_26(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_26(x, k_0, k_1, k_2), F_27(x, k_0, k_0*k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2), -F_17(x, k_0, k_1) + (-k_1*F_17(x, k_0, k_1) + k_2*F_17(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_28(x, k_0), k_0*x)
Eq(F_29(x, k_0, k_1, k_2), F_28(x, k_1)*F_30(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), (-k_0*F_31(x, k_0/k_1, k_1, k_2) + k_1*F_31(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_31(x, k_0, k_1, k_2), F_27(x, k_0*k_1, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_28(x, k_2)*F_33(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_133(x, k_0, k_1, k_2) + F_34(x, k_0, k_2))
Eq(F_34(x, k_0, k_1), F_131(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_36(x, k_1) + F_83(x, k_0, k_1))
Eq(F_36(x, k_0), F_1(x) + F_37(x, k_0) + F_46(x, k_0))
Eq(F_37(x, k_0), F_11(x)*F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, 1, k_0))
Eq(F_39(x, k_0, k_1), F_1(x) + F_40(x, k_0, k_1) + F_42(x, k_0, k_1) + F_45(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_11(x)*F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), (k_0*F_39(x, k_0, k_1) - F_39(x, 1, k_1))/(k_0 - 1))
Eq(F_42(x, k_0, k_1), F_28(x, k_0)*F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), (-k_0*F_44(x, k_0, 1) + k_1*F_44(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_44(x, k_0, k_1), F_35(x, k_0, k_0*k_1))
Eq(F_45(x, k_0, k_1), F_28(x, k_1)*F_34(x, k_0, k_1))
Eq(F_46(x, k_0), F_28(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), F_36(x, k_0) + F_48(x, k_0))
Eq(F_48(x, k_0), k_0*F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_11(x)*F_51(x, k_0))
Eq(F_51(x, k_0), F_0(x) + F_120(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_11(x)*F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, 1, k_0))
Eq(F_54(x, k_0, k_1), F_130(x, k_0, k_1) + F_5(x, k_0) + F_55(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_11(x)*F_56(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), (k_0*F_54(x, k_0, k_1) - F_54(x, 1, k_1))/(k_0 - 1))
Eq(F_57(x, k_0, k_1), F_28(x, k_0)*F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_127(x, k_0) + F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_126(x, k_0) + F_60(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_113(x, k_0, k_1) + F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0, 1))
Eq(F_63(x, k_0, k_1), F_121(x, k_0, k_1) + F_62(x, k_0, k_1))
Eq(F_63(x, k_0, k_1), F_64(x, k_0, k_0*k_1))
Eq(F_15(x, k_0, k_1), F_64(x, k_0, k_1) + F_65(x, k_0, k_1))
Eq(F_65(x, k_0, k_1), F_66(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_67(x, k_0, 1, k_1))
Eq(F_67(x, k_0, k_1, k_2), k_1*k_2*F_68(x, k_0, k_1, k_2))
Eq(F_68(x, k_0, k_1, k_2), F_69(x, k_0, k_1, k_2))
Eq(F_69(x, k_0, k_1, k_2), F_11(x)*F_70(x, k_0, k_1, k_2))
Eq(F_70(x, k_0, k_1, k_2), F_71(x, k_0, k_1, 1, k_2))
Eq(F_71(x, k_0, k_1, k_2, k_3), (-k_2*k_3*F_72(x, k_0, k_1, k_2*k_3) + k_3*F_72(x, k_0, k_1, k_3))/(-k_2*k_3 + k_3))
Eq(F_72(x, k_0, k_1, k_2), F_73(x, k_0*k_1, k_1*k_2))
Eq(F_74(x, k_0, k_1), F_28(x, k_1)*F_73(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_75(x, k_0, k_1))
Eq(F_75(x, k_0, k_1), F_112(x, k_0, k_1) + F_120(x, k_1) + F_18(x) + F_76(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_11(x)*F_77(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_108(x, k_0, k_1) + F_77(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_28(x, k_0)*F_78(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_80(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_11(x)*F_80(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_103(x, k_0, k_1) + F_106(x, k_0, k_1) + F_18(x) + F_81(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_6(x, k_0) + F_82(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_103(x, k_0, k_1) + F_18(x) + F_42(x, k_0, k_1) + F_84(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_11(x)*F_85(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), F_86(x, 1, k_0, k_1))
Eq(F_86(x, k_0, k_1, k_2), F_18(x) + F_87(x, k_0, k_1, k_2) + F_89(x, k_0, k_1, k_2) + F_93(x, k_0, k_1, k_2) + F_97(x, k_0, k_1, k_2))
Eq(F_87(x, k_0, k_1, k_2), F_11(x)*F_88(x, k_0, k_1, k_2))
Eq(F_88(x, k_0, k_1, k_2), (k_0*F_86(x, k_0, k_1, k_2) - F_86(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_89(x, k_0, k_1, k_2), F_28(x, k_0)*F_90(x, k_0, k_1, k_2))
Eq(F_90(x, k_0, k_1, k_2), -F_91(x, k_0, 1, k_2) + (-k_0*F_91(x, k_0, 1, k_2) + k_1*F_91(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_91(x, k_0, k_1, k_2), -F_92(x, k_0, k_2/k_0) + (-k_0*k_1*F_92(x, k_0, k_1) + k_2*F_92(x, k_0, k_2/k_0))/(-k_0*k_1 + k_2))
Eq(F_92(x, k_0, k_1), F_17(x, k_0, k_0*k_1))
Eq(F_93(x, k_0, k_1, k_2), F_28(x, k_1)*F_94(x, k_0, k_1, k_2))
Eq(F_94(x, k_0, k_1, k_2), (-k_0*F_95(x, k_0/k_1, k_1, k_2) + k_1*F_95(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_95(x, k_0, k_1, k_2), F_96(x, k_0*k_1, k_1, k_2))
Eq(F_96(x, k_0, k_1, k_2), (-k_1*F_35(x, k_0, k_1) + k_2*F_35(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_97(x, k_0, k_1, k_2), F_98(x, k_0, k_1, k_2))
Eq(F_98(x, k_0, k_1, k_2), F_28(x, k_2)*F_99(x, k_0, k_1, k_2))
Eq(F_99(x, k_0, k_1, k_2), k_1*F_100(x, k_0, k_2))
Eq(F_100(x, k_0, k_1), F_101(x, k_0, k_1))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1)*F_11(x))
Eq(F_102(x, k_0, k_1), F_75(x, k_0, k_1) + F_8(x, k_0))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, k_1))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1)*F_28(x, k_1))
Eq(F_105(x, k_0, k_1), k_0*F_49(x, k_1))
Eq(F_106(x, k_0, k_1), F_107(x, k_0, k_1)*F_28(x, k_0))
Eq(F_107(x, k_0, k_1), -F_92(x, k_0, 1) + (-k_0*F_92(x, k_0, 1) + k_1*F_92(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_108(x, k_0, k_1), (k_0*F_109(x, k_0, k_1) - F_109(x, 1, k_1))/(k_0 - 1))
Eq(F_110(x, k_0, k_1), F_109(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_111(x, k_0, k_1), F_110(x, k_0, k_1)*F_28(x, k_0))
Eq(F_111(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_112(x, k_0, k_1), F_113(x, k_0, k_1)*F_28(x, k_0))
Eq(F_113(x, k_0, k_1), F_114(x, k_1, k_0))
Eq(F_114(x, k_0, k_1), F_115(x, k_0, k_1)*F_118(x, k_0))
Eq(F_115(x, k_0, k_1), F_116(x, k_1, k_0))
Eq(F_116(x, k_0, k_1), (-k_0*F_117(x, k_0, 1) + k_1*F_117(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_117(x, k_0, k_1), F_72(x, 1, k_0, k_1))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_119(x, k_0), k_0*x)
Eq(F_120(x, k_0), F_28(x, k_0)*F_51(x, k_0))
Eq(F_121(x, k_0, k_1), k_0*F_122(x, k_0, k_1))
Eq(F_122(x, k_0, k_1), F_123(x, k_0, k_1))
Eq(F_123(x, k_0, k_1), F_11(x)*F_124(x, k_0, k_1))
Eq(F_124(x, k_0, k_1), F_125(x, 1, k_0, k_1))
Eq(F_125(x, k_0, k_1, k_2), (-k_0*F_72(x, k_0, k_1, k_2) + F_72(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_126(x, k_0), F_121(x, k_0, 1))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0, 1))
Eq(F_129(x, k_0, k_1), F_66(x, k_0, k_0*k_1))
Eq(F_130(x, k_0, k_1), F_102(x, k_0, k_1)*F_28(x, k_1))
Eq(F_131(x, k_0, k_1), F_132(x, k_0, k_1, 1))
Eq(F_132(x, k_0, k_1, k_2), F_99(x, k_0, k_1, k_1*k_2))
Eq(F_133(x, k_0, k_1, k_2), F_99(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1), F_135(x, k_0, k_1)*F_28(x, k_1))
Eq(F_135(x, k_0, k_1), F_136(x, k_0, k_1) + F_47(x, k_1))
Eq(F_136(x, k_0, k_1), F_105(x, k_0, k_1))
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": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"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": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", 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"pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [1, 0], "pos": [[1, 0], [2, 0]]}, {"patt": [1, 0], "pos": [[2, 0], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 1], [0, 2], [0, 2], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 1], [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": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": null, "col_idx": 2, "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/25612/
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[11,x]*F[4,x]
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[28,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[12,x,k[0]]+F[5,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]*F[11,x]
F[10,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[11,x] = x
F[12,x,k[0]] = F[13,x,k[0]]*F[28,x,k[0]]
F[13,x,k[0]] = F[14,x,k[0],1]
F[14,x,k[0],k[1]] = F[15,x,k[0],k[0]*k[1]]
F[16,x,k[0],k[1]] = F[15,x,k[0],k[1]]*F[28,x,k[1]]
F[16,x,k[0],k[1]] = F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[134,x,k[0],k[1]]+F[18,x]+F[19,x,k[0],k[1]]
F[18,x] = 0
F[19,x,k[0],k[1]] = F[11,x]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = F[21,x,1,k[0],k[1]]
F[21,x,k[0],k[1],k[2]] = F[18,x]+F[22,x,k[0],k[1],k[2]]+F[24,x,k[0],k[1],k[2]]+F[29,x,k[0],k[1],k[2]]+F[32,x,k[0],k[1],k[2]]
F[22,x,k[0],k[1],k[2]] = F[11,x]*F[23,x,k[0],k[1],k[2]]
F[23,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[21,x,k[0],k[1],k[2]]*k[0]-F[21,x,1,k[1],k[2]])
F[24,x,k[0],k[1],k[2]] = F[25,x,k[0],k[1],k[2]]*F[28,x,k[0]]
F[25,x,k[0],k[1],k[2]] = (F[26,x,k[0],1,k[2]]*k[0]-F[26,x,k[0],k[1]/k[0],k[2]]*k[1])/(-k[1]+k[0])
F[26,x,k[0],k[1],k[2]] = F[27,x,k[0],k[0]*k[1],k[2]]
F[27,x,k[0],k[1],k[2]] = k[2]*(F[17,x,k[0],k[1]]-F[17,x,k[0],k[2]])/(-k[2]+k[1])
F[28,x,k[0]] = k[0]*x
F[29,x,k[0],k[1],k[2]] = F[28,x,k[1]]*F[30,x,k[0],k[1],k[2]]
F[30,x,k[0],k[1],k[2]] = (-F[31,x,1,k[1],k[2]]*k[1]+F[31,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[31,x,k[0],k[1],k[2]] = F[27,x,k[0]*k[1],k[1],k[2]]
F[32,x,k[0],k[1],k[2]] = F[28,x,k[2]]*F[33,x,k[0],k[1],k[2]]
F[33,x,k[0],k[1],k[2]] = F[133,x,k[0],k[1],k[2]]+F[34,x,k[0],k[2]]
F[34,x,k[0],k[1]] = F[131,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[35,x,k[0],k[1]] = F[36,x,k[1]]+F[83,x,k[0],k[1]]
F[36,x,k[0]] = F[1,x]+F[37,x,k[0]]+F[46,x,k[0]]
F[37,x,k[0]] = F[11,x]*F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,1,k[0]]
F[39,x,k[0],k[1]] = F[1,x]+F[40,x,k[0],k[1]]+F[42,x,k[0],k[1]]+F[45,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[11,x]*F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = 1/(-1+k[0])*(F[39,x,k[0],k[1]]*k[0]-F[39,x,1,k[1]])
F[42,x,k[0],k[1]] = F[28,x,k[0]]*F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],1]*k[0]-F[44,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[44,x,k[0],k[1]] = F[35,x,k[0],k[0]*k[1]]
F[45,x,k[0],k[1]] = F[28,x,k[1]]*F[34,x,k[0],k[1]]
F[46,x,k[0]] = F[28,x,k[0]]*F[47,x,k[0]]
F[47,x,k[0]] = F[36,x,k[0]]+F[48,x,k[0]]
F[48,x,k[0]] = k[0]*F[49,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[11,x]*F[51,x,k[0]]
F[51,x,k[0]] = F[0,x]+F[120,x,k[0]]+F[52,x,k[0]]
F[52,x,k[0]] = F[11,x]*F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,1,k[0]]
F[54,x,k[0],k[1]] = F[130,x,k[0],k[1]]+F[5,x,k[0]]+F[55,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[11,x]*F[56,x,k[0],k[1]]
F[56,x,k[0],k[1]] = 1/(-1+k[0])*(F[54,x,k[0],k[1]]*k[0]-F[54,x,1,k[1]])
F[57,x,k[0],k[1]] = F[28,x,k[0]]*F[58,x,k[0],k[1]]
F[58,x,k[0],k[1]] = F[127,x,k[0]]+F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[126,x,k[0]]+F[60,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[113,x,k[0],k[1]]+F[61,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0],1]
F[63,x,k[0],k[1]] = F[121,x,k[0],k[1]]+F[62,x,k[0],k[1]]
F[63,x,k[0],k[1]] = F[64,x,k[0],k[0]*k[1]]
F[15,x,k[0],k[1]] = F[64,x,k[0],k[1]]+F[65,x,k[0],k[1]]
F[65,x,k[0],k[1]] = F[66,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[67,x,k[0],1,k[1]]
F[67,x,k[0],k[1],k[2]] = k[1]*k[2]*F[68,x,k[0],k[1],k[2]]
F[68,x,k[0],k[1],k[2]] = F[69,x,k[0],k[1],k[2]]
F[69,x,k[0],k[1],k[2]] = F[11,x]*F[70,x,k[0],k[1],k[2]]
F[70,x,k[0],k[1],k[2]] = F[71,x,k[0],k[1],1,k[2]]
F[71,x,k[0],k[1],k[2],k[3]] = (F[72,x,k[0],k[1],k[2]*k[3]]*k[2]-F[72,x,k[0],k[1],k[3]])/(k[2]-1)
F[72,x,k[0],k[1],k[2]] = F[73,x,k[0]*k[1],k[1]*k[2]]
F[74,x,k[0],k[1]] = F[28,x,k[1]]*F[73,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[75,x,k[0],k[1]]
F[75,x,k[0],k[1]] = F[112,x,k[0],k[1]]+F[120,x,k[1]]+F[18,x]+F[76,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[11,x]*F[77,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[108,x,k[0],k[1]]+F[77,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[28,x,k[0]]*F[78,x,k[0],k[1]]
F[79,x,k[0],k[1]] = F[80,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[11,x]*F[80,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[106,x,k[0],k[1]]+F[18,x]+F[81,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[6,x,k[0]]+F[82,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[103,x,k[0],k[1]]+F[18,x]+F[42,x,k[0],k[1]]+F[84,x,k[0],k[1]]
F[84,x,k[0],k[1]] = F[11,x]*F[85,x,k[0],k[1]]
F[85,x,k[0],k[1]] = F[86,x,1,k[0],k[1]]
F[86,x,k[0],k[1],k[2]] = F[18,x]+F[87,x,k[0],k[1],k[2]]+F[89,x,k[0],k[1],k[2]]+F[93,x,k[0],k[1],k[2]]+F[97,x,k[0],k[1],k[2]]
F[87,x,k[0],k[1],k[2]] = F[11,x]*F[88,x,k[0],k[1],k[2]]
F[88,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[86,x,k[0],k[1],k[2]]*k[0]-F[86,x,1,k[1],k[2]])
F[89,x,k[0],k[1],k[2]] = F[28,x,k[0]]*F[90,x,k[0],k[1],k[2]]
F[90,x,k[0],k[1],k[2]] = k[1]*(F[91,x,k[0],1,k[2]]-F[91,x,k[0],k[1]/k[0],k[2]])/(-k[1]+k[0])
F[91,x,k[0],k[1],k[2]] = k[0]*k[1]*(F[92,x,k[0],k[1]]-F[92,x,k[0],k[2]/k[0]])/(k[0]*k[1]-k[2])
F[92,x,k[0],k[1]] = F[17,x,k[0],k[0]*k[1]]
F[93,x,k[0],k[1],k[2]] = F[28,x,k[1]]*F[94,x,k[0],k[1],k[2]]
F[94,x,k[0],k[1],k[2]] = (-F[95,x,1,k[1],k[2]]*k[1]+F[95,x,k[0]/k[1],k[1],k[2]]*k[0])/(-k[1]+k[0])
F[95,x,k[0],k[1],k[2]] = F[96,x,k[0]*k[1],k[1],k[2]]
F[96,x,k[0],k[1],k[2]] = (F[35,x,k[0],k[1]]*k[1]-F[35,x,k[0],k[2]]*k[2])/(-k[2]+k[1])
F[97,x,k[0],k[1],k[2]] = F[98,x,k[0],k[1],k[2]]
F[98,x,k[0],k[1],k[2]] = F[28,x,k[2]]*F[99,x,k[0],k[1],k[2]]
F[99,x,k[0],k[1],k[2]] = k[1]*F[100,x,k[0],k[2]]
F[100,x,k[0],k[1]] = F[101,x,k[0],k[1]]
F[101,x,k[0],k[1]] = F[102,x,k[0],k[1]]*F[11,x]
F[102,x,k[0],k[1]] = F[75,x,k[0],k[1]]+F[8,x,k[0]]
F[103,x,k[0],k[1]] = F[104,x,k[0],k[1]]
F[104,x,k[0],k[1]] = F[105,x,k[0],k[1]]*F[28,x,k[1]]
F[105,x,k[0],k[1]] = k[0]*F[49,x,k[1]]
F[106,x,k[0],k[1]] = F[107,x,k[0],k[1]]*F[28,x,k[0]]
F[107,x,k[0],k[1]] = k[1]*(F[92,x,k[0],1]-F[92,x,k[0],k[1]/k[0]])/(-k[1]+k[0])
F[108,x,k[0],k[1]] = 1/(-1+k[0])*(F[109,x,k[0],k[1]]*k[0]-F[109,x,1,k[1]])
F[110,x,k[0],k[1]] = F[109,x,k[0],k[1]]+F[75,x,k[0],k[1]]
F[111,x,k[0],k[1]] = F[110,x,k[0],k[1]]*F[28,x,k[0]]
F[111,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[112,x,k[0],k[1]] = F[113,x,k[0],k[1]]*F[28,x,k[0]]
F[113,x,k[0],k[1]] = F[114,x,k[1],k[0]]
F[114,x,k[0],k[1]] = F[115,x,k[0],k[1]]*F[118,x,k[0]]
F[115,x,k[0],k[1]] = F[116,x,k[1],k[0]]
F[116,x,k[0],k[1]] = (F[117,x,k[0],1]*k[0]-F[117,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[117,x,k[0],k[1]] = F[72,x,1,k[0],k[1]]
F[118,x,k[0]] = F[119,x,k[0]]
F[119,x,k[0]] = k[0]*x
F[120,x,k[0]] = F[28,x,k[0]]*F[51,x,k[0]]
F[121,x,k[0],k[1]] = k[0]*F[122,x,k[0],k[1]]
F[122,x,k[0],k[1]] = F[123,x,k[0],k[1]]
F[123,x,k[0],k[1]] = F[11,x]*F[124,x,k[0],k[1]]
F[124,x,k[0],k[1]] = F[125,x,1,k[0],k[1]]
F[125,x,k[0],k[1],k[2]] = (F[72,x,k[0],k[1],k[2]]*k[0]-F[72,x,1,k[1],k[2]])/(-1+k[0])
F[126,x,k[0]] = F[121,x,k[0],1]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0],1]
F[129,x,k[0],k[1]] = F[66,x,k[0],k[0]*k[1]]
F[130,x,k[0],k[1]] = F[102,x,k[0],k[1]]*F[28,x,k[1]]
F[131,x,k[0],k[1]] = F[132,x,k[0],k[1],1]
F[132,x,k[0],k[1],k[2]] = F[99,x,k[0],k[1],k[1]*k[2]]
F[133,x,k[0],k[1],k[2]] = F[99,x,k[0],k[1],k[2]]
F[134,x,k[0],k[1]] = F[135,x,k[0],k[1]]*F[28,x,k[1]]
F[135,x,k[0],k[1]] = F[136,x,k[0],k[1]]+F[47,x,k[1]]
F[136,x,k[0],k[1]] = F[105,x,k[0],k[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_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{7}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{5}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{11}\! \left(x \right)
F_{10}\! \left(x , y_{0}\right) = -\frac{-F_{8}\! \left(x , y_{0}\right) y_{0}+F_{8}\! \left(x , 1\right)}{-1+y_{0}}
F_{11}\! \left(x \right) = x
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}, 1\right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{134}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{19}\! \left(x , y_{0}, y_{1}\right)
F_{18}\! \left(x \right) = 0
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{20}\! \left(x , y_{0}, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , 1, y_{0}, y_{1}\right)
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x \right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{21}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{28}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{26}\! \left(x , y_{0}, 1, y_{2}\right) y_{0}-F_{26}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{2} \left(F_{17}\! \left(x , y_{0}, y_{1}\right)-F_{17}\! \left(x , y_{0}, y_{2}\right)\right)}{-y_{2}+y_{1}}
F_{28}\! \left(x , y_{0}\right) = y_{0} x
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{1}\right) F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{31}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{31}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{2}\right) F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{34}\! \left(x , y_{0}, y_{2}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{131}\! \left(x , y_{0}, y_{1}\right)+F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{1}\right)+F_{83}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{37}\! \left(x , y_{0}\right)+F_{46}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{38}\! \left(x , y_{0}\right)
F_{38}\! \left(x , y_{0}\right) = F_{39}\! \left(x , 1, y_{0}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{40}\! \left(x , y_{0}, y_{1}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{39}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{39}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{44}\! \left(x , y_{0}, 1\right) y_{0}-F_{44}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right) F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = F_{36}\! \left(x , y_{0}\right)+F_{48}\! \left(x , y_{0}\right)
F_{48}\! \left(x , y_{0}\right) = y_{0} F_{49}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}\right) = F_{50}\! \left(x , y_{0}\right)
F_{50}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{51}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{120}\! \left(x , y_{0}\right)+F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{11}\! \left(x \right) F_{53}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , 1, y_{0}\right)
F_{54}\! \left(x , y_{0}, y_{1}\right) = F_{130}\! \left(x , y_{0}, y_{1}\right)+F_{5}\! \left(x , y_{0}\right)+F_{55}\! \left(x , y_{0}, y_{1}\right)+F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{55}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{56}\! \left(x , y_{0}, y_{1}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{54}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{54}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{57}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{58}\! \left(x , y_{0}, y_{1}\right) = F_{127}\! \left(x , y_{0}\right)+F_{59}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{126}\! \left(x , y_{0}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right)+F_{61}\! \left(x , y_{0}\right)
F_{61}\! \left(x , y_{0}\right) = F_{62}\! \left(x , y_{0}, 1\right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{121}\! \left(x , y_{0}, y_{1}\right)+F_{62}\! \left(x , y_{0}, y_{1}\right)
F_{63}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{64}\! \left(x , y_{0}, y_{1}\right)+F_{65}\! \left(x , y_{0}, y_{1}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{66}\! \left(x , y_{0}, y_{1}\right) = F_{67}\! \left(x , y_{0}, 1, y_{1}\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} y_{2} F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{68}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{69}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{70}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{71}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)
F_{71}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{72}\! \left(x , y_{0}, y_{1}, y_{2} y_{3}\right) y_{2}+F_{72}\! \left(x , y_{0}, y_{1}, y_{3}\right)}{y_{2}-1}
F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{73}\! \left(x , y_{0} y_{1}, y_{1} y_{2}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right) F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{75}\! \left(x , y_{0}, y_{1}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{112}\! \left(x , y_{0}, y_{1}\right)+F_{120}\! \left(x , y_{1}\right)+F_{18}\! \left(x \right)+F_{76}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)+F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{79}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{78}\! \left(x , y_{0}, y_{1}\right)
F_{79}\! \left(x , y_{0}, y_{1}\right) = F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{81}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{80}\! \left(x , y_{0}, y_{1}\right)
F_{82}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)+F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{81}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}, y_{1}\right) = F_{6}\! \left(x , y_{0}\right)+F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{83}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x \right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{84}\! \left(x , y_{0}, y_{1}\right)
F_{84}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{85}\! \left(x , y_{0}, y_{1}\right)
F_{85}\! \left(x , y_{0}, y_{1}\right) = F_{86}\! \left(x , 1, y_{0}, y_{1}\right)
F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{18}\! \left(x \right)+F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{87}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{11}\! \left(x \right) F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{88}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{86}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{86}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{89}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{0}\right) F_{90}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{90}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{1} \left(F_{91}\! \left(x , y_{0}, 1, y_{2}\right)-F_{91}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}, y_{2}\right)\right)}{-y_{1}+y_{0}}
F_{91}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{y_{0} y_{1} \left(F_{92}\! \left(x , y_{0}, y_{1}\right)-F_{92}\! \left(x , y_{0}, \frac{y_{2}}{y_{0}}\right)\right)}{y_{0} y_{1}-y_{2}}
F_{92}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{93}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{1}\right) F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{94}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{F_{95}\! \left(x , 1, y_{1}, y_{2}\right) y_{1}-F_{95}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}\right) y_{0}}{-y_{1}+y_{0}}
F_{95}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{96}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{96}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{35}\! \left(x , y_{0}, y_{1}\right) y_{1}-F_{35}\! \left(x , y_{0}, y_{2}\right) y_{2}}{-y_{2}+y_{1}}
F_{97}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{98}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{98}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{28}\! \left(x , y_{2}\right) F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{1} F_{100}\! \left(x , y_{0}, y_{2}\right)
F_{100}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \left(x , y_{0}, y_{1}\right)
F_{101}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right) F_{11}\! \left(x \right)
F_{102}\! \left(x , y_{0}, y_{1}\right) = F_{75}\! \left(x , y_{0}, y_{1}\right)+F_{8}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, y_{1}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{49}\! \left(x , y_{1}\right)
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{92}\! \left(x , y_{0}, 1\right)-F_{92}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right)\right)}{-y_{1}+y_{0}}
F_{108}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{109}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{109}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{110}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right)+F_{75}\! \left(x , y_{0}, y_{1}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{111}\! \left(x , y_{0}, y_{1}\right) = F_{82}\! \left(x , y_{0}, y_{1}\right)
F_{112}\! \left(x , y_{0}, y_{1}\right) = F_{113}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}, y_{1}\right) = F_{114}\! \left(x , y_{1}, y_{0}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{115}\! \left(x , y_{0}, y_{1}\right) F_{118}\! \left(x , y_{0}\right)
F_{115}\! \left(x , y_{0}, y_{1}\right) = F_{116}\! \left(x , y_{1}, y_{0}\right)
F_{116}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{117}\! \left(x , y_{0}, 1\right) y_{0}-F_{117}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{117}\! \left(x , y_{0}, y_{1}\right) = F_{72}\! \left(x , 1, y_{0}, y_{1}\right)
F_{118}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)
F_{119}\! \left(x , y_{0}\right) = y_{0} x
F_{120}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{51}\! \left(x , y_{0}\right)
F_{121}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{122}\! \left(x , y_{0}, y_{1}\right)
F_{122}\! \left(x , y_{0}, y_{1}\right) = F_{123}\! \left(x , y_{0}, y_{1}\right)
F_{123}\! \left(x , y_{0}, y_{1}\right) = F_{11}\! \left(x \right) F_{124}\! \left(x , y_{0}, y_{1}\right)
F_{124}\! \left(x , y_{0}, y_{1}\right) = F_{125}\! \left(x , 1, y_{0}, y_{1}\right)
F_{125}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-y_{0} F_{72}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{72}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{126}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}, 1\right)
F_{127}\! \left(x , y_{0}\right) = F_{128}\! \left(x , y_{0}\right)
F_{128}\! \left(x , y_{0}\right) = F_{129}\! \left(x , y_{0}, 1\right)
F_{129}\! \left(x , y_{0}, y_{1}\right) = F_{66}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{130}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{131}\! \left(x , y_{0}, y_{1}\right) = F_{132}\! \left(x , y_{0}, y_{1}, 1\right)
F_{132}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{99}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{133}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{99}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{134}\! \left(x , y_{0}, y_{1}\right) = F_{135}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{135}\! \left(x , y_{0}, y_{1}\right) = F_{136}\! \left(x , y_{0}, y_{1}\right)+F_{47}\! \left(x , y_{1}\right)
F_{136}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\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_11(x)*F_4(x))
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_28(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_12(x, k_0) + F_5(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0)*F_11(x))
Eq(F_10(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_11(x), x)
Eq(F_12(x, k_0), F_13(x, k_0)*F_28(x, k_0))
Eq(F_13(x, k_0), F_14(x, k_0, 1))
Eq(F_14(x, k_0, k_1), F_15(x, k_0, k_0*k_1))
Eq(F_16(x, k_0, k_1), F_15(x, k_0, k_1)*F_28(x, k_1))
Eq(F_16(x, k_0, k_1), F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), F_106(x, k_0, k_1) + F_134(x, k_0, k_1) + F_18(x) + F_19(x, k_0, k_1))
Eq(F_18(x), 0)
Eq(F_19(x, k_0, k_1), F_11(x)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), F_21(x, 1, k_0, k_1))
Eq(F_21(x, k_0, k_1, k_2), F_18(x) + F_22(x, k_0, k_1, k_2) + F_24(x, k_0, k_1, k_2) + F_29(x, k_0, k_1, k_2) + F_32(x, k_0, k_1, k_2))
Eq(F_22(x, k_0, k_1, k_2), F_11(x)*F_23(x, k_0, k_1, k_2))
Eq(F_23(x, k_0, k_1, k_2), (k_0*F_21(x, k_0, k_1, k_2) - F_21(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_24(x, k_0, k_1, k_2), F_25(x, k_0, k_1, k_2)*F_28(x, k_0))
Eq(F_25(x, k_0, k_1, k_2), (-k_0*F_26(x, k_0, 1, k_2) + k_1*F_26(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_26(x, k_0, k_1, k_2), F_27(x, k_0, k_0*k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2), -F_17(x, k_0, k_1) + (-k_1*F_17(x, k_0, k_1) + k_2*F_17(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_28(x, k_0), k_0*x)
Eq(F_29(x, k_0, k_1, k_2), F_28(x, k_1)*F_30(x, k_0, k_1, k_2))
Eq(F_30(x, k_0, k_1, k_2), (-k_0*F_31(x, k_0/k_1, k_1, k_2) + k_1*F_31(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_31(x, k_0, k_1, k_2), F_27(x, k_0*k_1, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2), F_28(x, k_2)*F_33(x, k_0, k_1, k_2))
Eq(F_33(x, k_0, k_1, k_2), F_133(x, k_0, k_1, k_2) + F_34(x, k_0, k_2))
Eq(F_34(x, k_0, k_1), F_131(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_35(x, k_0, k_1), F_36(x, k_1) + F_83(x, k_0, k_1))
Eq(F_36(x, k_0), F_1(x) + F_37(x, k_0) + F_46(x, k_0))
Eq(F_37(x, k_0), F_11(x)*F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, 1, k_0))
Eq(F_39(x, k_0, k_1), F_1(x) + F_40(x, k_0, k_1) + F_42(x, k_0, k_1) + F_45(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_11(x)*F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), (k_0*F_39(x, k_0, k_1) - F_39(x, 1, k_1))/(k_0 - 1))
Eq(F_42(x, k_0, k_1), F_28(x, k_0)*F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), (-k_0*F_44(x, k_0, 1) + k_1*F_44(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_44(x, k_0, k_1), F_35(x, k_0, k_0*k_1))
Eq(F_45(x, k_0, k_1), F_28(x, k_1)*F_34(x, k_0, k_1))
Eq(F_46(x, k_0), F_28(x, k_0)*F_47(x, k_0))
Eq(F_47(x, k_0), F_36(x, k_0) + F_48(x, k_0))
Eq(F_48(x, k_0), k_0*F_49(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_11(x)*F_51(x, k_0))
Eq(F_51(x, k_0), F_0(x) + F_120(x, k_0) + F_52(x, k_0))
Eq(F_52(x, k_0), F_11(x)*F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, 1, k_0))
Eq(F_54(x, k_0, k_1), F_130(x, k_0, k_1) + F_5(x, k_0) + F_55(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_11(x)*F_56(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), (k_0*F_54(x, k_0, k_1) - F_54(x, 1, k_1))/(k_0 - 1))
Eq(F_57(x, k_0, k_1), F_28(x, k_0)*F_58(x, k_0, k_1))
Eq(F_58(x, k_0, k_1), F_127(x, k_0) + F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_126(x, k_0) + F_60(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_113(x, k_0, k_1) + F_61(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0, 1))
Eq(F_63(x, k_0, k_1), F_121(x, k_0, k_1) + F_62(x, k_0, k_1))
Eq(F_63(x, k_0, k_1), F_64(x, k_0, k_0*k_1))
Eq(F_15(x, k_0, k_1), F_64(x, k_0, k_1) + F_65(x, k_0, k_1))
Eq(F_65(x, k_0, k_1), F_66(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_67(x, k_0, 1, k_1))
Eq(F_67(x, k_0, k_1, k_2), k_1*k_2*F_68(x, k_0, k_1, k_2))
Eq(F_68(x, k_0, k_1, k_2), F_69(x, k_0, k_1, k_2))
Eq(F_69(x, k_0, k_1, k_2), F_11(x)*F_70(x, k_0, k_1, k_2))
Eq(F_70(x, k_0, k_1, k_2), F_71(x, k_0, k_1, 1, k_2))
Eq(F_71(x, k_0, k_1, k_2, k_3), (-k_2*k_3*F_72(x, k_0, k_1, k_2*k_3) + k_3*F_72(x, k_0, k_1, k_3))/(-k_2*k_3 + k_3))
Eq(F_72(x, k_0, k_1, k_2), F_73(x, k_0*k_1, k_1*k_2))
Eq(F_74(x, k_0, k_1), F_28(x, k_1)*F_73(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_75(x, k_0, k_1))
Eq(F_75(x, k_0, k_1), F_112(x, k_0, k_1) + F_120(x, k_1) + F_18(x) + F_76(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_11(x)*F_77(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_108(x, k_0, k_1) + F_77(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_28(x, k_0)*F_78(x, k_0, k_1))
Eq(F_79(x, k_0, k_1), F_80(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_11(x)*F_80(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_103(x, k_0, k_1) + F_106(x, k_0, k_1) + F_18(x) + F_81(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_6(x, k_0) + F_82(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_103(x, k_0, k_1) + F_18(x) + F_42(x, k_0, k_1) + F_84(x, k_0, k_1))
Eq(F_84(x, k_0, k_1), F_11(x)*F_85(x, k_0, k_1))
Eq(F_85(x, k_0, k_1), F_86(x, 1, k_0, k_1))
Eq(F_86(x, k_0, k_1, k_2), F_18(x) + F_87(x, k_0, k_1, k_2) + F_89(x, k_0, k_1, k_2) + F_93(x, k_0, k_1, k_2) + F_97(x, k_0, k_1, k_2))
Eq(F_87(x, k_0, k_1, k_2), F_11(x)*F_88(x, k_0, k_1, k_2))
Eq(F_88(x, k_0, k_1, k_2), (k_0*F_86(x, k_0, k_1, k_2) - F_86(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_89(x, k_0, k_1, k_2), F_28(x, k_0)*F_90(x, k_0, k_1, k_2))
Eq(F_90(x, k_0, k_1, k_2), -F_91(x, k_0, 1, k_2) + (-k_0*F_91(x, k_0, 1, k_2) + k_1*F_91(x, k_0, k_1/k_0, k_2))/(-k_0 + k_1))
Eq(F_91(x, k_0, k_1, k_2), -F_92(x, k_0, k_2/k_0) + (-k_0*k_1*F_92(x, k_0, k_1) + k_2*F_92(x, k_0, k_2/k_0))/(-k_0*k_1 + k_2))
Eq(F_92(x, k_0, k_1), F_17(x, k_0, k_0*k_1))
Eq(F_93(x, k_0, k_1, k_2), F_28(x, k_1)*F_94(x, k_0, k_1, k_2))
Eq(F_94(x, k_0, k_1, k_2), (-k_0*F_95(x, k_0/k_1, k_1, k_2) + k_1*F_95(x, 1, k_1, k_2))/(-k_0 + k_1))
Eq(F_95(x, k_0, k_1, k_2), F_96(x, k_0*k_1, k_1, k_2))
Eq(F_96(x, k_0, k_1, k_2), (-k_1*F_35(x, k_0, k_1) + k_2*F_35(x, k_0, k_2))/(-k_1 + k_2))
Eq(F_97(x, k_0, k_1, k_2), F_98(x, k_0, k_1, k_2))
Eq(F_98(x, k_0, k_1, k_2), F_28(x, k_2)*F_99(x, k_0, k_1, k_2))
Eq(F_99(x, k_0, k_1, k_2), k_1*F_100(x, k_0, k_2))
Eq(F_100(x, k_0, k_1), F_101(x, k_0, k_1))
Eq(F_101(x, k_0, k_1), F_102(x, k_0, k_1)*F_11(x))
Eq(F_102(x, k_0, k_1), F_75(x, k_0, k_1) + F_8(x, k_0))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, k_1))
Eq(F_104(x, k_0, k_1), F_105(x, k_0, k_1)*F_28(x, k_1))
Eq(F_105(x, k_0, k_1), k_0*F_49(x, k_1))
Eq(F_106(x, k_0, k_1), F_107(x, k_0, k_1)*F_28(x, k_0))
Eq(F_107(x, k_0, k_1), -F_92(x, k_0, 1) + (-k_0*F_92(x, k_0, 1) + k_1*F_92(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_108(x, k_0, k_1), (k_0*F_109(x, k_0, k_1) - F_109(x, 1, k_1))/(k_0 - 1))
Eq(F_110(x, k_0, k_1), F_109(x, k_0, k_1) + F_75(x, k_0, k_1))
Eq(F_111(x, k_0, k_1), F_110(x, k_0, k_1)*F_28(x, k_0))
Eq(F_111(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_112(x, k_0, k_1), F_113(x, k_0, k_1)*F_28(x, k_0))
Eq(F_113(x, k_0, k_1), F_114(x, k_1, k_0))
Eq(F_114(x, k_0, k_1), F_115(x, k_0, k_1)*F_118(x, k_0))
Eq(F_115(x, k_0, k_1), F_116(x, k_1, k_0))
Eq(F_116(x, k_0, k_1), (-k_0*F_117(x, k_0, 1) + k_1*F_117(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_117(x, k_0, k_1), F_72(x, 1, k_0, k_1))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_119(x, k_0), k_0*x)
Eq(F_120(x, k_0), F_28(x, k_0)*F_51(x, k_0))
Eq(F_121(x, k_0, k_1), k_0*F_122(x, k_0, k_1))
Eq(F_122(x, k_0, k_1), F_123(x, k_0, k_1))
Eq(F_123(x, k_0, k_1), F_11(x)*F_124(x, k_0, k_1))
Eq(F_124(x, k_0, k_1), F_125(x, 1, k_0, k_1))
Eq(F_125(x, k_0, k_1, k_2), (-k_0*F_72(x, k_0, k_1, k_2) + F_72(x, 1, k_1, k_2))/(1 - k_0))
Eq(F_126(x, k_0), F_121(x, k_0, 1))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0, 1))
Eq(F_129(x, k_0, k_1), F_66(x, k_0, k_0*k_1))
Eq(F_130(x, k_0, k_1), F_102(x, k_0, k_1)*F_28(x, k_1))
Eq(F_131(x, k_0, k_1), F_132(x, k_0, k_1, 1))
Eq(F_132(x, k_0, k_1, k_2), F_99(x, k_0, k_1, k_1*k_2))
Eq(F_133(x, k_0, k_1, k_2), F_99(x, k_0, k_1, k_2))
Eq(F_134(x, k_0, k_1), F_135(x, k_0, k_1)*F_28(x, k_1))
Eq(F_135(x, k_0, k_1), F_136(x, k_0, k_1) + F_47(x, k_1))
Eq(F_136(x, k_0, k_1), F_105(x, k_0, k_1))
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": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"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": [[0, 1, 3, 2, 4], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 2, 4], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0, 2], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [1, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[1, 0], [2, 0], [2, 0]]}, {"patt": [2, 1, 0], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": 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"pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 0]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[2, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 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], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 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