02413_02431
Counting sequence:
1, 1, 2, 6, 24, 118, 672, 4254, 29116, 211464, 1608744, 12702238, 103391268, 863161152, 7362170304, 63957467610, 564522041412, 5052521940556, 45778332531696, 419316762801300, 3878422271425680, 36188777399103792, 340357145873787216, 3224214510500602686, 30744547675568490132, 294936593892843385620, 2845087065842509638416, 27585641185648427993796, 268736209015922289048624, 2629526543166343878068384, 25834803576541665601858752, 254794587741628765135758354, 2521885613093707975002566892, 25044566638886665890005059524, 249497539338805680565661591664, 2492889850012057978483126508488, 24977580947545767997093385853192, 250923107750031415974644597686272, 2527039047761023285950183639923520, 25509807362897935927642961822023380, 258091472810280715071749418230454600, 2616752583886621877749637640390796968, 26584533688094076752269317884676539664, 270601932470828573826133490201950749024, 2759492480131825893888409210412735935968, 28189520375500596230621486486284030150464, 288451241166549897591625689429314902347936, 2956321819698728498468217923648521678778094, 30345613456467602783691934184363517021596436, 311944441720710215128455377656289916317396748, 3211216647362047910621093215463092797070986816, 33101560033071860570393012580795345814397090448, 341657327407821308142682151660166269332086261816, 3530812815333581176410244680576413767019728436608, 36532535556355195393566441081649102931658161867904, 378431025350817996822760379876324380366844162607876, 3924434998749323026845398438753953274121737005269768, 40741189550962194476894520545674223723313905051835048, 423389434452800096335510779365132290508710500795669840, 4404336676329878547355255949663193697032014482091006064, 45860672266334881687688083424836363570252471118693914752, 477975577655051687756403455480901115153888511404928017152, 4986123619290020234997931233171765785083301099070360419712, 52059468488404544339159505524353965299083125127455593325666, 544005994494521257465838229532947800545647151820996507674572, 5689359671239657101617294460612996734156856371342969517853716, 59548093055783628557522415366514974013925959106124865739974752, 623744322379045949384117484628831552324460372263780049196450840, 6538371860383209206859435902242257120683525446194489765243982008, 68587870720922679059442960684345901359426786556764696350446453536, 719996793267337896202209612129453074007300607993994970512590975488, 7563286989965860374040499375990348298732524961608135325504027724392, 79502170190542855885741468121327950401378275089151236922448855793728, 836233830833247826889705073523370055542357661513550152140498424205392, 8801346518455033333545230464823987302730151365648908132636698050592624, 92690611575684417217252849159246361343559762065592052266323817961185128, 976743471986989655306720843235641663280643636884245859825061929237172320, 10298562538471553141207047098169203696033395382907545613366217502075581376, 108646934077773901873752634136633088789204875687394132742615656006200540160, 1146824103513651080312774122143774501773818002713855928842979078133459824612, 12111796386450242530751186777306937068605412762680777812956834646139919164120, 127981409957123639400965377187778047363880177255580982261221269204982086528696, 1353026131418616322202846683905343986239724554907432233610542120651609851490592, 14311364181105372937640188152121067301803822433143660479472031051394768812004768, 151448935044677260828579315245438624951210457286391465505834641652387313522836656, 1603454824771246860362008222720009015249450564223152096336989837377836971343089216, 16984301825882587976208599797395915408289969005385479377416647269962422043310763744, 179984230233184548032761273321762139305710507955555737036227712377912740364429717616, 1908149855406577286676347834746376667724137125554683311257586251090083674630781619680, 20238457396065373849276711709817975068744202943820797645742301576879455461821190018544, 214745970408884813399703891970234402743447075390625944432390945142508430551715231825024, 2279561181235685719252489799149703322381628669290163481450080647521663269043498892719328, 24207623419916688610867953720347261245558371485248703806007609807582761319100656062001280, 257172139261983328429532264964997323448779802489708582420199398299046338116602397652652032, 2733146132287800038806281401494412174503575609580074389711438170314382669944269301121417536, 29057977924856337036871329205094802038477136270318158262315594510710382867059681941137016158, 309049518099848180303073968606774849454382413556098349109564664717025578696875147457988017780, 3288119155021468496021560824556393459580726402829626755769081572621379221589715351443064501372, 34996174500235003947740814974653911873325042247970131010895788235788168672824375170617270211296, 372600989315366500073058240288872092249588812857907894748489969148105929156069070913911087153688, 3968394032352903234672834832826501844216136871674117419614759131065411558011814184341774968079528
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24784/
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,1]
F[7,x,k[0]] = F[8,x,k[0]]+F[9,x,k[0]]
F[8,x,k[0]] = x*(1+F[8,x,k[0]])*k[0]+F[8,x,k[0]]^2
F[9,x,k[0]] = F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[23,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[27,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[2,x]
F[13,x,k[0]] = F[14,x,k[0]]+F[15,x,k[0]]
F[14,x,k[0]] = x*F[14,x,k[0]]*k[0]+F[14,x,k[0]]^2-2*F[14,x,k[0]]+2
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = F[17,k[1]*x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]*F[23,x,k[0]]*F[26,x]
F[19,x,k[0]] = F[20,x,k[0]]+F[24,x,k[0]]
F[20,x,k[0]] = F[14,x,k[0]]+F[21,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[20,x,k[0]]^2*F[23,x,k[0]]
F[23,x,k[0]] = k[0]*x
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[19,x,k[0]]*F[20,x,k[0]]*F[4,x]
F[26,x] = 2+F[26,x]^2+(-2+x)*F[26,x]
F[27,x,k[0]] = F[113,x,k[0]]+F[28,x,k[0]]
F[29,x,k[0]] = F[112,x,k[0]]+F[28,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[31,x,k[0]]
F[30,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]*F[4,x]
F[33,x,k[0]] = F[34,x,1,k[0]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[0]*k[1]]
F[36,x,k[0],k[1]] = F[107,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[37,x,k[0],k[1]] = (-F[38,x,1,k[1]]*k[1]+F[38,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[38,x,k[0],k[1]] = F[39,x,k[0]*k[1],k[1]]
F[39,x,k[0],k[1]] = F[29,x,k[1]]+F[40,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[23,x,k[0]]*F[42,x,k[0],k[1]]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[1]]+F[89,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[44,x,k[0],k[1]]
F[44,x,k[0],k[1]] = F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[23,x,k[1]]*F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[47,x,k[0],1,k[1]]
F[47,x,k[0],k[1],k[2]] = F[48,x,k[0],k[0]*k[1],k[2]]
F[48,x,k[0],k[1],k[2]] = F[42,x,k[1],k[2]]+F[49,x,k[0],k[1],k[2]]
F[50,x,k[0],k[1],k[2]] = F[23,x,k[1]]*F[49,x,k[0],k[1],k[2]]
F[50,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]
F[52,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]+F[75,x,k[0],k[2]]
F[52,x,k[0],k[1],k[2]] = F[53,x,k[0],k[1],k[2]]+F[60,x,k[0],k[1],k[2]]
F[53,x,k[0],k[1],k[2]] = F[54,x,k[1],k[2]]*F[7,x,k[0]]
F[55,x,k[0],k[1]] = F[0,x]*F[54,x,k[0],k[1]]
F[39,x,k[0],k[1]] = F[55,x,k[0],k[1]]+F[56,x,k[0],k[1]]
F[56,x,k[0],k[1]] = F[28,x,k[1]]+F[57,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[57,x,k[0],k[1]]+F[58,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[58,x,k[0]*k[1],k[1]]
F[59,x,k[0],k[1]] = F[0,x]*F[16,x,k[0],k[1]]
F[60,x,k[0],k[1],k[2]] = F[61,x,k[0],k[1],k[2]]
F[61,x,k[0],k[1],k[2]] = F[4,x]*F[62,x,k[1],k[2]]*F[7,x,k[0]]
F[62,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[69,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[4,x]*F[63,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[65,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[54,x,k[0],k[1]]+F[65,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[30,x,k[1]]+F[67,x,k[0],k[1]]
F[67,x,k[0],k[1]] = F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[23,x,k[0]]*F[43,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[70,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[70,x,k[0],k[1]]+F[73,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[23,x,k[0]]*F[71,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[40,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[23,x,k[0]]*F[73,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[67,x,k[0],k[1]]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]+F[77,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[14,x,k[1]]*F[7,x,k[0]]
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[4,x]*F[7,x,k[0]]*F[79,x,k[1]]
F[79,x,k[0]] = F[80,x,k[0]]+F[85,x,k[0]]
F[80,x,k[0]] = F[29,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[23,x,k[0]]*F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0],1]
F[84,x,k[0],k[1]] = F[62,x,k[0]*k[1],k[0]]
F[85,x,k[0]] = F[86,x,k[0]]
F[86,x,k[0]] = F[4,x]*F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,1,k[0]]
F[88,x,k[0],k[1]] = F[47,x,1,k[0],k[1]]
F[89,x,k[0],k[1]] = F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[4,x]*F[91,x,k[0],k[1]]
F[91,x,k[0],k[1]] = 1/(-1+k[0])*(F[88,x,k[0],k[1]]*k[0]-F[88,x,1,k[1]])
F[93,x,k[0],k[1]] = F[105,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[23,x,k[1]]*F[93,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[95,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[23,x,k[0]]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = k[1]*(F[97,x,k[0]]-F[97,x,k[1]])/(-k[1]+k[0])
F[97,x,k[0]] = F[101,x,k[0]]+F[98,x,k[0]]
F[99,x,k[0]] = F[81,x,k[0]]+F[98,x,k[0]]
F[100,x,k[0]] = F[4,x]*F[99,x,k[0]]
F[100,x,k[0]] = F[9,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[23,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0],1]
F[104,x,k[0],k[1]] = F[71,x,k[0]*k[1],k[0]]
F[105,x,k[0],k[1]] = -k[0]*(F[106,x,1,k[1]]-F[106,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
F[106,x,k[0],k[1]] = F[40,x,k[0]*k[1],k[1]]
F[107,x,k[0],k[1]] = F[108,x,k[0],k[1]]
F[108,x,k[0],k[1]] = F[109,x,k[0],k[1]]*F[23,x,k[1]]
F[109,x,k[0],k[1]] = F[110,x,k[0],1,k[1]]
F[110,x,k[0],k[1],k[2]] = (F[111,x,k[0],k[2],k[1]/k[2]]*k[0]*k[1]-F[111,x,k[0],k[2],1/k[0]]*k[2])/(k[0]*k[1]-k[2])
F[111,x,k[0],k[1],k[2]] = F[47,x,k[0],k[1]*k[2],k[1]]
F[112,x,k[0]] = F[0,x]*F[14,x,k[0]]
F[113,x,k[0]] = F[114,x,1,k[0]]
F[114,x,k[0],k[1]] = F[57,x,k[0]*k[1],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_{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 , 1\right)
F_{7}\! \left(x , y_{0}\right) = F_{8}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = x F_{8}\! \left(x , y_{0}\right) y_{0}+y_{0} x +F_{8}\! \left(x , y_{0}\right)^{2}
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right)
F_{11}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{27}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{2}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{15}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = x F_{14}\! \left(x , y_{0}\right) y_{0}+F_{14}\! \left(x , y_{0}\right)^{2}-2 F_{14}\! \left(x , y_{0}\right)+2
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(y_{1} x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right) F_{26}\! \left(x \right)
F_{19}\! \left(x , y_{0}\right) = F_{20}\! \left(x , y_{0}\right)+F_{24}\! \left(x , y_{0}\right)
F_{20}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{21}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{20}\! \left(x , y_{0}\right)^{2} F_{23}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = y_{0} x
F_{24}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}\right) F_{20}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{26}\! \left(x \right) x +F_{26} \left(x \right)^{2}-2 F_{26}\! \left(x \right)+2
F_{27}\! \left(x , y_{0}\right) = F_{113}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}\right) = F_{112}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}\right) = F_{30}\! \left(x , y_{0}\right)+F_{31}\! \left(x , y_{0}\right)
F_{30}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y_{0}\right)
F_{31}\! \left(x , y_{0}\right) = F_{32}\! \left(x , y_{0}\right)
F_{32}\! \left(x , y_{0}\right) = F_{33}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{33}\! \left(x , y_{0}\right) = F_{34}\! \left(x , 1, y_{0}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right)+F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{38}\! \left(x , 1, y_{1}\right) y_{1}-F_{38}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{38}\! \left(x , y_{0}, y_{1}\right) = F_{39}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right)+F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{0}, y_{1}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{1}\right)+F_{89}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{1}\right) F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , y_{0}, 1, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{48}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{42}\! \left(x , y_{1}, y_{2}\right)+F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{23}\! \left(x , y_{1}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{75}\! \left(x , y_{0}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{60}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{1}, y_{2}\right) F_{7}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}, y_{1}\right) = F_{0}\! \left(x \right) F_{54}\! \left(x , y_{0}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, y_{1}\right)+F_{56}\! \left(x , y_{0}, y_{1}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right)+F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0}, y_{1}\right)+F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{58}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{0}\! \left(x \right) F_{16}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{61}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{61}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{4}\! \left(x \right) F_{62}\! \left(x , y_{1}, y_{2}\right) F_{7}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{69}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{63}\! \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_{66}\! \left(x , y_{0}, y_{1}\right) = F_{54}\! \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_{30}\! \left(x , y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{67}\! \left(x , y_{0}, y_{1}\right) = F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)+F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{71}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{76}\! \left(x , y_{0}, y_{1}\right)+F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{7}\! \left(x , y_{0}\right)
F_{77}\! \left(x , y_{0}, y_{1}\right) = F_{78}\! \left(x , y_{0}, y_{1}\right)
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{7}\! \left(x , y_{0}\right) F_{79}\! \left(x , y_{1}\right)
F_{79}\! \left(x , y_{0}\right) = F_{80}\! \left(x , y_{0}\right)+F_{85}\! \left(x , y_{0}\right)
F_{80}\! \left(x , y_{0}\right) = F_{29}\! \left(x , y_{0}\right)+F_{81}\! \left(x , y_{0}\right)
F_{81}\! \left(x , y_{0}\right) = F_{82}\! \left(x , y_{0}\right)
F_{82}\! \left(x , y_{0}\right) = F_{23}\! \left(x , y_{0}\right) F_{83}\! \left(x , y_{0}\right)
F_{83}\! \left(x , y_{0}\right) = F_{84}\! \left(x , y_{0}, 1\right)
F_{84}\! \left(x , y_{0}, y_{1}\right) = F_{62}\! \left(x , y_{0} y_{1}, y_{0}\right)
F_{85}\! \left(x , y_{0}\right) = F_{86}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{88}\! \left(x , 1, y_{0}\right)
F_{88}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , 1, y_{0}, y_{1}\right)
F_{89}\! \left(x , y_{0}, y_{1}\right) = F_{90}\! \left(x , y_{0}, y_{1}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{91}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{88}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{88}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{93}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{1}\right) F_{93}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{96}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{97}\! \left(x , y_{0}\right)-F_{97}\! \left(x , y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{97}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{99}\! \left(x , y_{0}\right) = F_{81}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{99}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{9}\! \left(x , y_{0}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}\right) = F_{104}\! \left(x , y_{0}, 1\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , y_{0} y_{1}, y_{0}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{106}\! \left(x , 1, y_{1}\right)-F_{106}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right) F_{23}\! \left(x , y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, 1, y_{1}\right)
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-y_{0} y_{1} F_{111}\! \left(x , y_{0}, y_{2}, \frac{y_{1}}{y_{2}}\right)+y_{2} F_{111}\! \left(x , y_{0}, y_{2}, \frac{1}{y_{0}}\right)}{y_{0} y_{1}-y_{2}}
F_{111}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{47}\! \left(x , y_{0}, y_{1} y_{2}, y_{1}\right)
F_{112}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right) F_{14}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}\right) = F_{114}\! \left(x , 1, y_{0}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0} y_{1}, 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_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, 1))
Eq(F_7(x, k_0), F_8(x, k_0) + F_9(x, k_0))
Eq(F_8(x, k_0), (k_0*x - 3)*(F_8(x, k_0) + 1) + (F_8(x, k_0) + 1)**2 + F_8(x, k_0) + 2)
Eq(F_9(x, k_0), F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_23(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_27(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_2(x))
Eq(F_13(x, k_0), F_14(x, k_0) + F_15(x, k_0))
Eq(F_14(x, k_0), (k_0*x - 2)*F_14(x, k_0) + F_14(x, k_0)**2 + 2)
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), F_17(k_1*x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0)*F_23(x, k_0)*F_26(x))
Eq(F_19(x, k_0), F_20(x, k_0) + F_24(x, k_0))
Eq(F_20(x, k_0), F_14(x, k_0) + F_21(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_20(x, k_0)**2*F_23(x, k_0))
Eq(F_23(x, k_0), k_0*x)
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_19(x, k_0)*F_20(x, k_0)*F_4(x))
Eq(F_26(x), (x - 2)*F_26(x) + F_26(x)**2 + 2)
Eq(F_27(x, k_0), F_113(x, k_0) + F_28(x, k_0))
Eq(F_29(x, k_0), F_112(x, k_0) + F_28(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_31(x, k_0))
Eq(F_30(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0)*F_4(x))
Eq(F_33(x, k_0), F_34(x, 1, k_0))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_0*k_1))
Eq(F_36(x, k_0, k_1), F_107(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), (-k_0*F_38(x, k_0/k_1, k_1) + k_1*F_38(x, 1, k_1))/(-k_0 + k_1))
Eq(F_38(x, k_0, k_1), F_39(x, k_0*k_1, k_1))
Eq(F_39(x, k_0, k_1), F_29(x, k_1) + F_40(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_23(x, k_0)*F_42(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_1) + F_89(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_35(x, k_0, k_1) + F_44(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_23(x, k_1)*F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_47(x, k_0, 1, k_1))
Eq(F_47(x, k_0, k_1, k_2), F_48(x, k_0, k_0*k_1, k_2))
Eq(F_48(x, k_0, k_1, k_2), F_42(x, k_1, k_2) + F_49(x, k_0, k_1, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_23(x, k_1)*F_49(x, k_0, k_1, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2) + F_75(x, k_0, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_53(x, k_0, k_1, k_2) + F_60(x, k_0, k_1, k_2))
Eq(F_53(x, k_0, k_1, k_2), F_54(x, k_1, k_2)*F_7(x, k_0))
Eq(F_55(x, k_0, k_1), F_0(x)*F_54(x, k_0, k_1))
Eq(F_39(x, k_0, k_1), F_55(x, k_0, k_1) + F_56(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), F_28(x, k_1) + F_57(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_57(x, k_0, k_1) + F_58(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_58(x, k_0*k_1, k_1))
Eq(F_59(x, k_0, k_1), F_0(x)*F_16(x, k_0, k_1))
Eq(F_60(x, k_0, k_1, k_2), F_61(x, k_0, k_1, k_2))
Eq(F_61(x, k_0, k_1, k_2), F_4(x)*F_62(x, k_1, k_2)*F_7(x, k_0))
Eq(F_62(x, k_0, k_1), F_63(x, k_0, k_1) + F_69(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_4(x)*F_63(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_65(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_54(x, k_0, k_1) + F_65(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_30(x, k_1) + F_67(x, k_0, k_1))
Eq(F_67(x, k_0, k_1), F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_23(x, k_0)*F_43(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_70(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_70(x, k_0, k_1) + F_73(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_23(x, k_0)*F_71(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_40(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_23(x, k_0)*F_73(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_67(x, k_0, k_1))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1) + F_77(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_14(x, k_1)*F_7(x, k_0))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_4(x)*F_7(x, k_0)*F_79(x, k_1))
Eq(F_79(x, k_0), F_80(x, k_0) + F_85(x, k_0))
Eq(F_80(x, k_0), F_29(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), F_23(x, k_0)*F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0, 1))
Eq(F_84(x, k_0, k_1), F_62(x, k_0*k_1, k_0))
Eq(F_85(x, k_0), F_86(x, k_0))
Eq(F_86(x, k_0), F_4(x)*F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, 1, k_0))
Eq(F_88(x, k_0, k_1), F_47(x, 1, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_4(x)*F_91(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), (k_0*F_88(x, k_0, k_1) - F_88(x, 1, k_1))/(k_0 - 1))
Eq(F_93(x, k_0, k_1), F_105(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_23(x, k_1)*F_93(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_23(x, k_0)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), -F_97(x, k_0) + (-k_0*F_97(x, k_0) + k_1*F_97(x, k_1))/(-k_0 + k_1))
Eq(F_97(x, k_0), F_101(x, k_0) + F_98(x, k_0))
Eq(F_99(x, k_0), F_81(x, k_0) + F_98(x, k_0))
Eq(F_100(x, k_0), F_4(x)*F_99(x, k_0))
Eq(F_100(x, k_0), F_9(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0)*F_23(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0, 1))
Eq(F_104(x, k_0, k_1), F_71(x, k_0*k_1, k_0))
Eq(F_105(x, k_0, k_1), -F_106(x, 1, k_1) + (-k_0*F_106(x, k_0/k_1, k_1) + k_1*F_106(x, 1, k_1))/(-k_0 + k_1))
Eq(F_106(x, k_0, k_1), F_40(x, k_0*k_1, k_1))
Eq(F_107(x, k_0, k_1), F_108(x, k_0, k_1))
Eq(F_108(x, k_0, k_1), F_109(x, k_0, k_1)*F_23(x, k_1))
Eq(F_109(x, k_0, k_1), F_110(x, k_0, 1, k_1))
Eq(F_110(x, k_0, k_1, k_2), (-k_0*k_1*F_111(x, k_0, k_2, k_1/k_2) + k_2*F_111(x, k_0, k_2, 1/k_0))/(-k_0*k_1 + k_2))
Eq(F_111(x, k_0, k_1, k_2), F_47(x, k_0, k_1*k_2, k_1))
Eq(F_112(x, k_0), F_0(x)*F_14(x, k_0))
Eq(F_113(x, k_0), F_114(x, 1, k_0))
Eq(F_114(x, k_0, k_1), F_57(x, k_0*k_1, k_1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], 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0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[2, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"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, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": 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{"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 2], [1, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 2], [1, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 2], [1, 2], [1, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 4], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 2], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 2], [1, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 4], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 0], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [2, 2], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 4], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 2], [2, 4], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 2], [2, 4], [2, 4], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 4], [2, 4], [2, 4], [2, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0], "pos": [[2, 4]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 2]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": 2, "col_idx": null, "tracked": true}}]}
Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25328/
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,1]
F[7,x,k[0]] = F[8,x,k[0]]+F[9,x,k[0]]
F[8,x,k[0]] = x*(1+F[8,x,k[0]])*k[0]+F[8,x,k[0]]^2
F[9,x,k[0]] = F[10,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[23,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]+F[27,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[2,x]
F[13,x,k[0]] = F[14,x,k[0]]+F[15,x,k[0]]
F[14,x,k[0]] = x*F[14,x,k[0]]*k[0]+F[14,x,k[0]]^2-2*F[14,x,k[0]]+2
F[15,x,k[0]] = F[16,x,1,k[0]]
F[16,x,k[0],k[1]] = F[17,k[1]*x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[19,x,k[0]]*F[23,x,k[0]]*F[26,x]
F[19,x,k[0]] = F[20,x,k[0]]+F[24,x,k[0]]
F[20,x,k[0]] = F[14,x,k[0]]+F[21,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[20,x,k[0]]^2*F[23,x,k[0]]
F[23,x,k[0]] = k[0]*x
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[19,x,k[0]]*F[20,x,k[0]]*F[4,x]
F[26,x] = 2+F[26,x]^2+(-2+x)*F[26,x]
F[27,x,k[0]] = F[113,x,k[0]]+F[28,x,k[0]]
F[29,x,k[0]] = F[112,x,k[0]]+F[28,x,k[0]]
F[29,x,k[0]] = F[30,x,k[0]]+F[31,x,k[0]]
F[30,x,k[0]] = F[0,x]+F[7,x,k[0]]
F[31,x,k[0]] = F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]*F[4,x]
F[33,x,k[0]] = F[34,x,1,k[0]]
F[34,x,k[0],k[1]] = F[35,x,k[0],k[0]*k[1]]
F[36,x,k[0],k[1]] = F[107,x,k[0],k[1]]+F[35,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[37,x,k[0],k[1]] = (-F[38,x,1,k[1]]*k[1]+F[38,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[38,x,k[0],k[1]] = F[39,x,k[0]*k[1],k[1]]
F[39,x,k[0],k[1]] = F[29,x,k[1]]+F[40,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[41,x,k[0],k[1]]
F[41,x,k[0],k[1]] = F[23,x,k[0]]*F[42,x,k[0],k[1]]
F[42,x,k[0],k[1]] = F[43,x,k[0],k[1]]+F[89,x,k[0],k[1]]
F[43,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[44,x,k[0],k[1]]
F[44,x,k[0],k[1]] = F[45,x,k[0],k[1]]
F[45,x,k[0],k[1]] = F[23,x,k[1]]*F[46,x,k[0],k[1]]
F[46,x,k[0],k[1]] = F[47,x,k[0],1,k[1]]
F[47,x,k[0],k[1],k[2]] = F[48,x,k[0],k[0]*k[1],k[2]]
F[48,x,k[0],k[1],k[2]] = F[42,x,k[1],k[2]]+F[49,x,k[0],k[1],k[2]]
F[50,x,k[0],k[1],k[2]] = F[23,x,k[1]]*F[49,x,k[0],k[1],k[2]]
F[50,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]
F[52,x,k[0],k[1],k[2]] = F[51,x,k[0],k[1],k[2]]+F[75,x,k[0],k[2]]
F[52,x,k[0],k[1],k[2]] = F[53,x,k[0],k[1],k[2]]+F[60,x,k[0],k[1],k[2]]
F[53,x,k[0],k[1],k[2]] = F[54,x,k[1],k[2]]*F[7,x,k[0]]
F[55,x,k[0],k[1]] = F[0,x]*F[54,x,k[0],k[1]]
F[39,x,k[0],k[1]] = F[55,x,k[0],k[1]]+F[56,x,k[0],k[1]]
F[56,x,k[0],k[1]] = F[28,x,k[1]]+F[57,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[57,x,k[0],k[1]]+F[58,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[58,x,k[0]*k[1],k[1]]
F[59,x,k[0],k[1]] = F[0,x]*F[16,x,k[0],k[1]]
F[60,x,k[0],k[1],k[2]] = F[61,x,k[0],k[1],k[2]]
F[61,x,k[0],k[1],k[2]] = F[4,x]*F[62,x,k[1],k[2]]*F[7,x,k[0]]
F[62,x,k[0],k[1]] = F[63,x,k[0],k[1]]+F[69,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[4,x]*F[63,x,k[0],k[1]]
F[64,x,k[0],k[1]] = F[65,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[54,x,k[0],k[1]]+F[65,x,k[0],k[1]]
F[66,x,k[0],k[1]] = F[30,x,k[1]]+F[67,x,k[0],k[1]]
F[67,x,k[0],k[1]] = F[68,x,k[0],k[1]]
F[68,x,k[0],k[1]] = F[23,x,k[0]]*F[43,x,k[0],k[1]]
F[69,x,k[0],k[1]] = F[70,x,k[0],k[1]]
F[71,x,k[0],k[1]] = F[70,x,k[0],k[1]]+F[73,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[23,x,k[0]]*F[71,x,k[0],k[1]]
F[72,x,k[0],k[1]] = F[40,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[23,x,k[0]]*F[73,x,k[0],k[1]]
F[74,x,k[0],k[1]] = F[67,x,k[0],k[1]]
F[75,x,k[0],k[1]] = F[76,x,k[0],k[1]]+F[77,x,k[0],k[1]]
F[76,x,k[0],k[1]] = F[14,x,k[1]]*F[7,x,k[0]]
F[77,x,k[0],k[1]] = F[78,x,k[0],k[1]]
F[78,x,k[0],k[1]] = F[4,x]*F[7,x,k[0]]*F[79,x,k[1]]
F[79,x,k[0]] = F[80,x,k[0]]+F[85,x,k[0]]
F[80,x,k[0]] = F[29,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[23,x,k[0]]*F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0],1]
F[84,x,k[0],k[1]] = F[62,x,k[0]*k[1],k[0]]
F[85,x,k[0]] = F[86,x,k[0]]
F[86,x,k[0]] = F[4,x]*F[87,x,k[0]]
F[87,x,k[0]] = F[88,x,1,k[0]]
F[88,x,k[0],k[1]] = F[47,x,1,k[0],k[1]]
F[89,x,k[0],k[1]] = F[90,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[4,x]*F[91,x,k[0],k[1]]
F[91,x,k[0],k[1]] = 1/(-1+k[0])*(F[88,x,k[0],k[1]]*k[0]-F[88,x,1,k[1]])
F[93,x,k[0],k[1]] = F[105,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[23,x,k[1]]*F[93,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[95,x,k[0],k[1]]
F[95,x,k[0],k[1]] = F[23,x,k[0]]*F[96,x,k[0],k[1]]
F[96,x,k[0],k[1]] = k[1]*(F[97,x,k[0]]-F[97,x,k[1]])/(-k[1]+k[0])
F[97,x,k[0]] = F[101,x,k[0]]+F[98,x,k[0]]
F[99,x,k[0]] = F[81,x,k[0]]+F[98,x,k[0]]
F[100,x,k[0]] = F[4,x]*F[99,x,k[0]]
F[100,x,k[0]] = F[9,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x,k[0]]*F[23,x,k[0]]
F[103,x,k[0]] = F[104,x,k[0],1]
F[104,x,k[0],k[1]] = F[71,x,k[0]*k[1],k[0]]
F[105,x,k[0],k[1]] = -k[0]*(F[106,x,1,k[1]]-F[106,x,k[0]/k[1],k[1]])/(-k[1]+k[0])
F[106,x,k[0],k[1]] = F[40,x,k[0]*k[1],k[1]]
F[107,x,k[0],k[1]] = F[108,x,k[0],k[1]]
F[108,x,k[0],k[1]] = F[109,x,k[0],k[1]]*F[23,x,k[1]]
F[109,x,k[0],k[1]] = F[110,x,k[0],1,k[1]]
F[110,x,k[0],k[1],k[2]] = (F[111,x,k[0],k[2],k[1]/k[2]]*k[0]*k[1]-F[111,x,k[0],k[2],1/k[0]]*k[2])/(k[0]*k[1]-k[2])
F[111,x,k[0],k[1],k[2]] = F[47,x,k[0],k[1]*k[2],k[1]]
F[112,x,k[0]] = F[0,x]*F[14,x,k[0]]
F[113,x,k[0]] = F[114,x,1,k[0]]
F[114,x,k[0],k[1]] = F[57,x,k[0]*k[1],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_{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 , 1\right)
F_{7}\! \left(x , y_{0}\right) = F_{8}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = x F_{8}\! \left(x , y_{0}\right) y_{0}+y_{0} x +F_{8}\! \left(x , y_{0}\right)^{2}
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right)
F_{11}\! \left(x , y_{0}\right) = F_{12}\! \left(x , y_{0}\right)+F_{27}\! \left(x , y_{0}\right)
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{2}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{15}\! \left(x , y_{0}\right)
F_{14}\! \left(x , y_{0}\right) = x F_{14}\! \left(x , y_{0}\right) y_{0}+F_{14}\! \left(x , y_{0}\right)^{2}-2 F_{14}\! \left(x , y_{0}\right)+2
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , 1, y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(y_{1} x , y_{0}\right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right) F_{26}\! \left(x \right)
F_{19}\! \left(x , y_{0}\right) = F_{20}\! \left(x , y_{0}\right)+F_{24}\! \left(x , y_{0}\right)
F_{20}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right)+F_{21}\! \left(x , y_{0}\right)
F_{21}\! \left(x , y_{0}\right) = F_{22}\! \left(x , y_{0}\right)
F_{22}\! \left(x , y_{0}\right) = F_{20}\! \left(x , y_{0}\right)^{2} F_{23}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = y_{0} x
F_{24}\! \left(x , y_{0}\right) = F_{25}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = F_{19}\! \left(x , y_{0}\right) F_{20}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{26}\! \left(x \right) = F_{26}\! \left(x \right) x +F_{26} \left(x \right)^{2}-2 F_{26}\! \left(x \right)+2
F_{27}\! \left(x , y_{0}\right) = F_{113}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}\right) = F_{112}\! \left(x , y_{0}\right)+F_{28}\! \left(x , y_{0}\right)
F_{29}\! \left(x , y_{0}\right) = F_{30}\! \left(x , y_{0}\right)+F_{31}\! \left(x , y_{0}\right)
F_{30}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{7}\! \left(x , y_{0}\right)
F_{31}\! \left(x , y_{0}\right) = F_{32}\! \left(x , y_{0}\right)
F_{32}\! \left(x , y_{0}\right) = F_{33}\! \left(x , y_{0}\right) F_{4}\! \left(x \right)
F_{33}\! \left(x , y_{0}\right) = F_{34}\! \left(x , 1, y_{0}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{107}\! \left(x , y_{0}, y_{1}\right)+F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{38}\! \left(x , 1, y_{1}\right) y_{1}-F_{38}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{38}\! \left(x , y_{0}, y_{1}\right) = F_{39}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{29}\! \left(x , y_{1}\right)+F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{41}\! \left(x , y_{0}, y_{1}\right)
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{42}\! \left(x , y_{0}, y_{1}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{43}\! \left(x , y_{0}, y_{1}\right)+F_{89}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{44}\! \left(x , y_{0}, y_{1}\right)
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0}, y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{1}\right) F_{46}\! \left(x , y_{0}, y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , y_{0}, 1, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{48}\! \left(x , y_{0}, y_{0} y_{1}, y_{2}\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{42}\! \left(x , y_{1}, y_{2}\right)+F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{23}\! \left(x , y_{1}\right) F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{51}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{75}\! \left(x , y_{0}, y_{2}\right)
F_{52}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{60}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{53}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{54}\! \left(x , y_{1}, y_{2}\right) F_{7}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}, y_{1}\right) = F_{0}\! \left(x \right) F_{54}\! \left(x , y_{0}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{55}\! \left(x , y_{0}, y_{1}\right)+F_{56}\! \left(x , y_{0}, y_{1}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right)+F_{57}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0}, y_{1}\right)+F_{58}\! \left(x , y_{0}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{58}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{59}\! \left(x , y_{0}, y_{1}\right) = F_{0}\! \left(x \right) F_{16}\! \left(x , y_{0}, y_{1}\right)
F_{60}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{61}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{61}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{4}\! \left(x \right) F_{62}\! \left(x , y_{1}, y_{2}\right) F_{7}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}, y_{1}\right) = F_{63}\! \left(x , y_{0}, y_{1}\right)+F_{69}\! \left(x , y_{0}, y_{1}\right)
F_{64}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{63}\! \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_{66}\! \left(x , y_{0}, y_{1}\right) = F_{54}\! \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_{30}\! \left(x , y_{1}\right)+F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{67}\! \left(x , y_{0}, y_{1}\right) = F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{69}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)
F_{71}\! \left(x , y_{0}, y_{1}\right) = F_{70}\! \left(x , y_{0}, y_{1}\right)+F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{71}\! \left(x , y_{0}, y_{1}\right)
F_{72}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}, y_{1}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = F_{67}\! \left(x , y_{0}, y_{1}\right)
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{76}\! \left(x , y_{0}, y_{1}\right)+F_{77}\! \left(x , y_{0}, y_{1}\right)
F_{76}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{1}\right) F_{7}\! \left(x , y_{0}\right)
F_{77}\! \left(x , y_{0}, y_{1}\right) = F_{78}\! \left(x , y_{0}, y_{1}\right)
F_{78}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{7}\! \left(x , y_{0}\right) F_{79}\! \left(x , y_{1}\right)
F_{79}\! \left(x , y_{0}\right) = F_{80}\! \left(x , y_{0}\right)+F_{85}\! \left(x , y_{0}\right)
F_{80}\! \left(x , y_{0}\right) = F_{29}\! \left(x , y_{0}\right)+F_{81}\! \left(x , y_{0}\right)
F_{81}\! \left(x , y_{0}\right) = F_{82}\! \left(x , y_{0}\right)
F_{82}\! \left(x , y_{0}\right) = F_{23}\! \left(x , y_{0}\right) F_{83}\! \left(x , y_{0}\right)
F_{83}\! \left(x , y_{0}\right) = F_{84}\! \left(x , y_{0}, 1\right)
F_{84}\! \left(x , y_{0}, y_{1}\right) = F_{62}\! \left(x , y_{0} y_{1}, y_{0}\right)
F_{85}\! \left(x , y_{0}\right) = F_{86}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{87}\! \left(x , y_{0}\right)
F_{87}\! \left(x , y_{0}\right) = F_{88}\! \left(x , 1, y_{0}\right)
F_{88}\! \left(x , y_{0}, y_{1}\right) = F_{47}\! \left(x , 1, y_{0}, y_{1}\right)
F_{89}\! \left(x , y_{0}, y_{1}\right) = F_{90}\! \left(x , y_{0}, y_{1}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = F_{4}\! \left(x \right) F_{91}\! \left(x , y_{0}, y_{1}\right)
F_{91}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{88}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{88}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{93}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{1}\right) F_{93}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{23}\! \left(x , y_{0}\right) F_{96}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\right) = \frac{y_{1} \left(F_{97}\! \left(x , y_{0}\right)-F_{97}\! \left(x , y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{97}\! \left(x , y_{0}\right) = F_{101}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{99}\! \left(x , y_{0}\right) = F_{81}\! \left(x , y_{0}\right)+F_{98}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{99}\! \left(x , y_{0}\right)
F_{100}\! \left(x , y_{0}\right) = F_{9}\! \left(x , y_{0}\right)
F_{101}\! \left(x , y_{0}\right) = F_{102}\! \left(x , y_{0}\right)
F_{102}\! \left(x , y_{0}\right) = F_{103}\! \left(x , y_{0}\right) F_{23}\! \left(x , y_{0}\right)
F_{103}\! \left(x , y_{0}\right) = F_{104}\! \left(x , y_{0}, 1\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = F_{71}\! \left(x , y_{0} y_{1}, y_{0}\right)
F_{105}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{106}\! \left(x , 1, y_{1}\right)-F_{106}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right)\right)}{-y_{1}+y_{0}}
F_{106}\! \left(x , y_{0}, y_{1}\right) = F_{40}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right) F_{23}\! \left(x , y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{0}, 1, y_{1}\right)
F_{110}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-y_{0} y_{1} F_{111}\! \left(x , y_{0}, y_{2}, \frac{y_{1}}{y_{2}}\right)+y_{2} F_{111}\! \left(x , y_{0}, y_{2}, \frac{1}{y_{0}}\right)}{y_{0} y_{1}-y_{2}}
F_{111}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{47}\! \left(x , y_{0}, y_{1} y_{2}, y_{1}\right)
F_{112}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right) F_{14}\! \left(x , y_{0}\right)
F_{113}\! \left(x , y_{0}\right) = F_{114}\! \left(x , 1, y_{0}\right)
F_{114}\! \left(x , y_{0}, y_{1}\right) = F_{57}\! \left(x , y_{0} y_{1}, 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_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, 1))
Eq(F_7(x, k_0), F_8(x, k_0) + F_9(x, k_0))
Eq(F_8(x, k_0), (k_0*x - 3)*(F_8(x, k_0) + 1) + (F_8(x, k_0) + 1)**2 + F_8(x, k_0) + 2)
Eq(F_9(x, k_0), F_10(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_23(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0) + F_27(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_2(x))
Eq(F_13(x, k_0), F_14(x, k_0) + F_15(x, k_0))
Eq(F_14(x, k_0), (k_0*x - 2)*F_14(x, k_0) + F_14(x, k_0)**2 + 2)
Eq(F_15(x, k_0), F_16(x, 1, k_0))
Eq(F_16(x, k_0, k_1), F_17(k_1*x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_19(x, k_0)*F_23(x, k_0)*F_26(x))
Eq(F_19(x, k_0), F_20(x, k_0) + F_24(x, k_0))
Eq(F_20(x, k_0), F_14(x, k_0) + F_21(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_20(x, k_0)**2*F_23(x, k_0))
Eq(F_23(x, k_0), k_0*x)
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_19(x, k_0)*F_20(x, k_0)*F_4(x))
Eq(F_26(x), (x - 2)*F_26(x) + F_26(x)**2 + 2)
Eq(F_27(x, k_0), F_113(x, k_0) + F_28(x, k_0))
Eq(F_29(x, k_0), F_112(x, k_0) + F_28(x, k_0))
Eq(F_29(x, k_0), F_30(x, k_0) + F_31(x, k_0))
Eq(F_30(x, k_0), F_0(x) + F_7(x, k_0))
Eq(F_31(x, k_0), F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0)*F_4(x))
Eq(F_33(x, k_0), F_34(x, 1, k_0))
Eq(F_34(x, k_0, k_1), F_35(x, k_0, k_0*k_1))
Eq(F_36(x, k_0, k_1), F_107(x, k_0, k_1) + F_35(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), (-k_0*F_38(x, k_0/k_1, k_1) + k_1*F_38(x, 1, k_1))/(-k_0 + k_1))
Eq(F_38(x, k_0, k_1), F_39(x, k_0*k_1, k_1))
Eq(F_39(x, k_0, k_1), F_29(x, k_1) + F_40(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_41(x, k_0, k_1))
Eq(F_41(x, k_0, k_1), F_23(x, k_0)*F_42(x, k_0, k_1))
Eq(F_42(x, k_0, k_1), F_43(x, k_0, k_1) + F_89(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), F_35(x, k_0, k_1) + F_44(x, k_0, k_1))
Eq(F_44(x, k_0, k_1), F_45(x, k_0, k_1))
Eq(F_45(x, k_0, k_1), F_23(x, k_1)*F_46(x, k_0, k_1))
Eq(F_46(x, k_0, k_1), F_47(x, k_0, 1, k_1))
Eq(F_47(x, k_0, k_1, k_2), F_48(x, k_0, k_0*k_1, k_2))
Eq(F_48(x, k_0, k_1, k_2), F_42(x, k_1, k_2) + F_49(x, k_0, k_1, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_23(x, k_1)*F_49(x, k_0, k_1, k_2))
Eq(F_50(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_51(x, k_0, k_1, k_2) + F_75(x, k_0, k_2))
Eq(F_52(x, k_0, k_1, k_2), F_53(x, k_0, k_1, k_2) + F_60(x, k_0, k_1, k_2))
Eq(F_53(x, k_0, k_1, k_2), F_54(x, k_1, k_2)*F_7(x, k_0))
Eq(F_55(x, k_0, k_1), F_0(x)*F_54(x, k_0, k_1))
Eq(F_39(x, k_0, k_1), F_55(x, k_0, k_1) + F_56(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), F_28(x, k_1) + F_57(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_57(x, k_0, k_1) + F_58(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_58(x, k_0*k_1, k_1))
Eq(F_59(x, k_0, k_1), F_0(x)*F_16(x, k_0, k_1))
Eq(F_60(x, k_0, k_1, k_2), F_61(x, k_0, k_1, k_2))
Eq(F_61(x, k_0, k_1, k_2), F_4(x)*F_62(x, k_1, k_2)*F_7(x, k_0))
Eq(F_62(x, k_0, k_1), F_63(x, k_0, k_1) + F_69(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_4(x)*F_63(x, k_0, k_1))
Eq(F_64(x, k_0, k_1), F_65(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_54(x, k_0, k_1) + F_65(x, k_0, k_1))
Eq(F_66(x, k_0, k_1), F_30(x, k_1) + F_67(x, k_0, k_1))
Eq(F_67(x, k_0, k_1), F_68(x, k_0, k_1))
Eq(F_68(x, k_0, k_1), F_23(x, k_0)*F_43(x, k_0, k_1))
Eq(F_69(x, k_0, k_1), F_70(x, k_0, k_1))
Eq(F_71(x, k_0, k_1), F_70(x, k_0, k_1) + F_73(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_23(x, k_0)*F_71(x, k_0, k_1))
Eq(F_72(x, k_0, k_1), F_40(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_23(x, k_0)*F_73(x, k_0, k_1))
Eq(F_74(x, k_0, k_1), F_67(x, k_0, k_1))
Eq(F_75(x, k_0, k_1), F_76(x, k_0, k_1) + F_77(x, k_0, k_1))
Eq(F_76(x, k_0, k_1), F_14(x, k_1)*F_7(x, k_0))
Eq(F_77(x, k_0, k_1), F_78(x, k_0, k_1))
Eq(F_78(x, k_0, k_1), F_4(x)*F_7(x, k_0)*F_79(x, k_1))
Eq(F_79(x, k_0), F_80(x, k_0) + F_85(x, k_0))
Eq(F_80(x, k_0), F_29(x, k_0) + F_81(x, k_0))
Eq(F_81(x, k_0), F_82(x, k_0))
Eq(F_82(x, k_0), F_23(x, k_0)*F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0, 1))
Eq(F_84(x, k_0, k_1), F_62(x, k_0*k_1, k_0))
Eq(F_85(x, k_0), F_86(x, k_0))
Eq(F_86(x, k_0), F_4(x)*F_87(x, k_0))
Eq(F_87(x, k_0), F_88(x, 1, k_0))
Eq(F_88(x, k_0, k_1), F_47(x, 1, k_0, k_1))
Eq(F_89(x, k_0, k_1), F_90(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_4(x)*F_91(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), (k_0*F_88(x, k_0, k_1) - F_88(x, 1, k_1))/(k_0 - 1))
Eq(F_93(x, k_0, k_1), F_105(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_23(x, k_1)*F_93(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_95(x, k_0, k_1))
Eq(F_95(x, k_0, k_1), F_23(x, k_0)*F_96(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), -F_97(x, k_0) + (-k_0*F_97(x, k_0) + k_1*F_97(x, k_1))/(-k_0 + k_1))
Eq(F_97(x, k_0), F_101(x, k_0) + F_98(x, k_0))
Eq(F_99(x, k_0), F_81(x, k_0) + F_98(x, k_0))
Eq(F_100(x, k_0), F_4(x)*F_99(x, k_0))
Eq(F_100(x, k_0), F_9(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x, k_0)*F_23(x, k_0))
Eq(F_103(x, k_0), F_104(x, k_0, 1))
Eq(F_104(x, k_0, k_1), F_71(x, k_0*k_1, k_0))
Eq(F_105(x, k_0, k_1), -F_106(x, 1, k_1) + (-k_0*F_106(x, k_0/k_1, k_1) + k_1*F_106(x, 1, k_1))/(-k_0 + k_1))
Eq(F_106(x, k_0, k_1), F_40(x, k_0*k_1, k_1))
Eq(F_107(x, k_0, k_1), F_108(x, k_0, k_1))
Eq(F_108(x, k_0, k_1), F_109(x, k_0, k_1)*F_23(x, k_1))
Eq(F_109(x, k_0, k_1), F_110(x, k_0, 1, k_1))
Eq(F_110(x, k_0, k_1, k_2), (-k_0*k_1*F_111(x, k_0, k_2, k_1/k_2) + k_2*F_111(x, k_0, k_2, 1/k_0))/(-k_0*k_1 + k_2))
Eq(F_111(x, k_0, k_1, k_2), F_47(x, k_0, k_1*k_2, k_1))
Eq(F_112(x, k_0), F_0(x)*F_14(x, k_0))
Eq(F_113(x, k_0), F_114(x, 1, k_0))
Eq(F_114(x, k_0, k_1), F_57(x, k_0*k_1, k_1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 2, 4, 1, 3], [0, 2, 4, 3, 1]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "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], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[2, 2], [2, 2], [2, 2], [2, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[2, 2]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[2, 2]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"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, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"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, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 1], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 1]]}]}]}, {"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], [2, 0], [2, 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, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"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, 1], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 1], [1, 0], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 1], [1, 1], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, 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