01234_01243_01324_02134_02143_02413_20134_20143_20413
Counting sequence:
1, 1, 2, 6, 24, 111, 548, 2793, 14501, 76235, 404508, 2161812, 11619764, 62748103, 340153636, 1849900626, 10088045719, 55141908520, 302020757417, 1657149500641, 9106800845705, 50115719150323, 276135937825442, 1523208191752718, 8410799850288670, 46485520206665887, 257138043473101402, 1423486686382908217, 7885926329530889601, 43716067064956326097, 242492279791380190770, 1345875270851487902425, 7473865180156083973683, 41524495974607661251990, 230817469810036578950179, 1283588884872518405574507, 7141098772957421403519461, 39744383669706691454121534, 221283376168336734721651242, 1232467634598314794565406889, 6866699765871057631732924461, 38270055244204763645467123791, 213354520188808532389953499143, 1189789304147039922514119529178, 6636787171867052191921139293138, 37030528153655048912759589356176, 206666953343861432419879429588802, 1153683141565959518410115507024570, 6441722321762242363899217946235014, 35976030426645550525147752731032688, 200963122589482915736175012261195617, 1122813738253779416055043222183717913, 6274568038444677002532205924942215801, 35070460039276066928487848271916357262, 196054826606370266266682849202719795406, 1096198393716902039601571245345745866035, 6130185131545838200532368634812766461186, 34286900825018626175167056698650029169863, 191800893341123862045960784774234218402294, 1073095669270281136656984643937864028046141, 6004674464647877383161386948188502574305296, 33604821998429103302487077081753487371149289, 188093088384861541088490821144077983219682202, 1052934312825400384019900017107199803771513414, 5895017656231727888413598450152162775702544088, 33008257907446463508490868823238564011439193100, 184846874372635144127361555337599190617969577695, 1035266255768142404328095816222094117451117001317, 5798837541881114154376126598304654151008714896538, 32484585083718664834151335469126142516785346542843, 181995156393875531733328133525243900352349842653317, 1019734571283783496202023564767329916455521071825443, 5714233763587404284105475620580887558017236964229898, 32023677319181219347594903116241081040105054922220276, 179483933361167611578254041860324982822790315483350011, 1006051060700775129467686346452757147902648319861454580, 5639667085030362900813749210925782959589954339094763238, 31617307775160934456077509904386925350446924588779070078, 177269203932973329713155637703365129253835886849088050700, 993980221579195533984588924480484628963656915609793862876, 5573876221515364652906624087367060253403882435829544413784, 31258717006143436434773536158683089657174865713975497532654, 175314720315072617494193748691638900939770868810215610251706, 983327554950417504608266004890244730312182102964041249916845, 5515816906991989405412506227630304328995906727371691035751619, 30942295096154798981101064436491685516953093536849499094852810, 173590328408448376765539924616001785437554392722102250835684126, 973930889190143778210434223291763631632551120383134426874685325, 5464616500035711473088487682799050489504584197938427995737521847, 30663343932918756403497285467571712077583921022520643052231766768, 172070721721925478575456444231663868812969823038178310194616467019, 965653842624477552851475302891221624801470566455706084682857436981, 5419539656910878761071042093465652464671587453025523721536906573652, 30417896810467993666150438252928784521704248159247436225674964133332, 170734492557976641945047627926478068634944744680581946747523331309903, 958380829178215631826680038556402863942627762211430446052807904896599, 5379962021881439486877918604256770039212586363780828958111521732138473, 30202579727087346745614027592409208334140953720301141109708432843913190, 169563400245577917149479403831162220447389075406843672609623199461980645, 952013194898541919336369168222983591146408925387971264934201161031411097, 5345349814920996047905498244368651835674555884820252018203147678302793059
Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24593/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[77,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[10,x,k[0]]+F[13,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[12,x] = x
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[15,x,k[0]] = F[133,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[132,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[0,x]+F[128,x,k[0]]+F[18,x,k[0]]
F[18,x,k[0]] = F[12,x]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x]+F[25,x,k[0]]
F[20,x] = 1/F[12,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[8,x,1]
F[25,x,k[0]] = F[124,x,k[0]]+F[126,x,k[0]]+F[26,x]+F[27,x,k[0]]
F[26,x] = 0
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[12,x]*F[29,x,k[0]]
F[29,x,k[0]] = -k[0]*(F[30,x,1]-F[30,x,k[0]])/(-1+k[0])
F[30,x,k[0]] = F[119,x,k[0]]+F[31,x,k[0]]
F[31,x,k[0]] = F[118,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[26,x]+F[33,x,k[0]]+F[35,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[37,x,k[0]] = F[0,x]+F[35,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[12,x]*F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[70,x,k[0]]
F[41,x,k[0]] = F[37,x,k[0]]+F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[117,x,k[0]]+F[44,x]
F[44,x] = -F[116,x]+F[45,x]
F[45,x] = -F[46,x]+F[24,x]
F[46,x] = F[26,x]+F[47,x]+F[50,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x,1]
F[49,x,k[0]] = F[12,x]*F[25,x,k[0]]
F[50,x] = F[51,x]
F[51,x] = F[12,x]*F[52,x]
F[52,x] = F[53,x]+F[69,x]
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[41,x,1]
F[55,x] = F[56,x,1]
F[56,x,k[0]] = F[57,x,k[0]]+F[67,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[12,x]*F[16,x,k[0]]*F[59,x]*F[60,x]
F[59,x] = F[1,x]+F[12,x]
F[60,x] = F[1,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[61,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[12,x]*F[61,x]
F[67,x,k[0]] = F[12,x]*F[68,x,k[0]]
F[68,x,k[0]] = 1/(-1+k[0])*(F[56,x,k[0]]*k[0]-F[56,x,1])
F[69,x] = F[70,x,1]
F[70,x,k[0]] = F[113,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[12,x]*F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]+F[98,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]+F[83,x,k[0]]
F[74,x,k[0]] = F[1,x]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]*F[78,x,k[0]]
F[77,x,k[0]] = k[0]*x
F[78,x,k[0]] = F[79,x,k[0]]+F[80,x,k[0]]
F[79,x,k[0]] = F[1,x]+F[77,x,k[0]]
F[80,x,k[0]] = F[75,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[75,x,k[0]]*F[77,x,k[0]]
F[83,x,k[0]] = F[84,x]+F[87,x,k[0]]
F[84,x] = F[85,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[1,x]+F[84,x]
F[87,x,k[0]] = F[26,x]+F[88,x,k[0]]+F[90,x,k[0]]
F[88,x,k[0]] = F[12,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[75,x,k[0]]+F[87,x,k[0]]
F[90,x,k[0]] = F[77,x,k[0]]*F[91,x,k[0]]
F[91,x,k[0]] = F[92,x,k[0]]+F[95,x,k[0]]
F[92,x,k[0]] = F[84,x]+F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[77,x,k[0]]*F[84,x]
F[95,x,k[0]] = F[87,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[77,x,k[0]]*F[87,x,k[0]]
F[98,x,k[0]] = F[111,x,k[0]]+F[2,x]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[12,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[98,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x]*F[74,x,k[0]]
F[103,x] = -F[108,x]+F[104,x]
F[104,x] = F[105,x,1]
F[105,x,k[0]] = F[106,x,k[0]]+F[9,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[12,x]
F[107,x,k[0]] = 1/(-1+k[0])*(F[105,x,k[0]]*k[0]-F[105,x,1])
F[108,x] = -F[5,x]+F[109,x]
F[109,x] = F[110,x]+F[4,x]
F[110,x] = F[104,x]*F[12,x]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = F[77,x,k[0]]*F[79,x,k[0]]*F[98,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[12,x]
F[115,x,k[0]] = F[102,x,k[0]]+F[55,x]
F[116,x] = F[0,x]+F[22,x]
F[117,x,k[0]] = F[103,x]*F[75,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]
F[70,x,k[0]] = F[120,x,k[0]]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[12,x]*F[123,x]
F[123,x] = F[104,x]+F[55,x]
F[124,x,k[0]] = F[12,x]*F[125,x,k[0]]
F[125,x,k[0]] = -k[0]*(F[25,x,1]-F[25,x,k[0]])/(-1+k[0])
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[19,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]*F[77,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[37,x,k[0]]
F[131,x,k[0]] = F[72,x,k[0]]*F[77,x,k[0]]
F[132,x,k[0]] = F[6,x,k[0]]*F[74,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{128}\! \left(x , y\right)+F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{25}\! \left(x , y\right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{25}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{126}\! \left(x , y\right)+F_{26}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = -\frac{y \left(F_{30}\! \left(x , 1\right)-F_{30}\! \left(x , y\right)\right)}{-1+y}
F_{30}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{33}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{35}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{24}\! \left(x \right)
F_{46}\! \left(x \right) = F_{26}\! \left(x \right)+F_{47}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x , 1\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{69}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{41}\! \left(x , 1\right)
F_{55}\! \left(x \right) = F_{56}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{16}\! \left(x , y\right) F_{59}\! \left(x \right) F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{60}\! \left(x \right) = F_{1}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{67}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = -\frac{-F_{56}\! \left(x , y\right) y +F_{56}\! \left(x , 1\right)}{-1+y}
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{70}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = y x
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{77}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{75}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{87}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{88}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{92}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{95}\! \left(x , y\right) = F_{87}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{2}\! \left(x \right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{74}\! \left(x , y\right)
F_{103}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x , 1\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{107}\! \left(x , y\right) = -\frac{-y F_{105}\! \left(x , y\right)+F_{105}\! \left(x , 1\right)}{-1+y}
F_{108}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{104}\! \left(x \right)+F_{55}\! \left(x \right)
F_{124}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = -\frac{y \left(F_{25}\! \left(x , 1\right)-F_{25}\! \left(x , y\right)\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{72}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{6}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_77(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_10(x, k_0) + F_13(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_15(x, k_0), F_133(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_132(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_0(x) + F_128(x, k_0) + F_18(x, k_0))
Eq(F_18(x, k_0), F_12(x)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x) + F_25(x, k_0))
Eq(F_20(x), F_21(x)/F_12(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_8(x, 1))
Eq(F_25(x, k_0), F_124(x, k_0) + F_126(x, k_0) + F_26(x) + F_27(x, k_0))
Eq(F_26(x), 0)
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_12(x)*F_29(x, k_0))
Eq(F_29(x, k_0), -F_30(x, 1) + (k_0*F_30(x, k_0) - F_30(x, 1))/(k_0 - 1))
Eq(F_30(x, k_0), F_119(x, k_0) + F_31(x, k_0))
Eq(F_31(x, k_0), F_118(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_26(x) + F_33(x, k_0) + F_35(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_37(x, k_0), F_0(x) + F_35(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_12(x)*F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_70(x, k_0))
Eq(F_41(x, k_0), F_37(x, k_0) + F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_117(x, k_0) + F_44(x))
Eq(F_44(x), -F_116(x) + F_45(x))
Eq(F_45(x), F_24(x) - F_46(x))
Eq(F_46(x), F_26(x) + F_47(x) + F_50(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x, 1))
Eq(F_49(x, k_0), F_12(x)*F_25(x, k_0))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_12(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_69(x))
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_41(x, 1))
Eq(F_55(x), F_56(x, 1))
Eq(F_56(x, k_0), F_57(x, k_0) + F_67(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_12(x)*F_16(x, k_0)*F_59(x)*F_60(x))
Eq(F_59(x), F_1(x) + F_12(x))
Eq(F_60(x), F_1(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_61(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_12(x)*F_61(x))
Eq(F_67(x, k_0), F_12(x)*F_68(x, k_0))
Eq(F_68(x, k_0), (k_0*F_56(x, k_0) - F_56(x, 1))/(k_0 - 1))
Eq(F_69(x), F_70(x, 1))
Eq(F_70(x, k_0), F_113(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_12(x)*F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0) + F_98(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0) + F_83(x, k_0))
Eq(F_74(x, k_0), F_1(x) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0)*F_78(x, k_0))
Eq(F_77(x, k_0), k_0*x)
Eq(F_78(x, k_0), F_79(x, k_0) + F_80(x, k_0))
Eq(F_79(x, k_0), F_1(x) + F_77(x, k_0))
Eq(F_80(x, k_0), F_75(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_75(x, k_0)*F_77(x, k_0))
Eq(F_83(x, k_0), F_84(x) + F_87(x, k_0))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_1(x) + F_84(x))
Eq(F_87(x, k_0), F_26(x) + F_88(x, k_0) + F_90(x, k_0))
Eq(F_88(x, k_0), F_12(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_75(x, k_0) + F_87(x, k_0))
Eq(F_90(x, k_0), F_77(x, k_0)*F_91(x, k_0))
Eq(F_91(x, k_0), F_92(x, k_0) + F_95(x, k_0))
Eq(F_92(x, k_0), F_84(x) + F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_77(x, k_0)*F_84(x))
Eq(F_95(x, k_0), F_87(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_77(x, k_0)*F_87(x, k_0))
Eq(F_98(x, k_0), F_111(x, k_0) + F_2(x) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_12(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_98(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x)*F_74(x, k_0))
Eq(F_103(x), F_104(x) - F_108(x))
Eq(F_104(x), F_105(x, 1))
Eq(F_105(x, k_0), F_106(x, k_0) + F_9(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_12(x))
Eq(F_107(x, k_0), (k_0*F_105(x, k_0) - F_105(x, 1))/(k_0 - 1))
Eq(F_108(x), F_109(x) - F_5(x))
Eq(F_109(x), F_110(x) + F_4(x))
Eq(F_110(x), F_104(x)*F_12(x))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), F_77(x, k_0)*F_79(x, k_0)*F_98(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_12(x))
Eq(F_115(x, k_0), F_102(x, k_0) + F_55(x))
Eq(F_116(x), F_0(x) + F_22(x))
Eq(F_117(x, k_0), F_103(x)*F_75(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_70(x, k_0), F_120(x, k_0) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_12(x)*F_123(x))
Eq(F_123(x), F_104(x) + F_55(x))
Eq(F_124(x, k_0), F_12(x)*F_125(x, k_0))
Eq(F_125(x, k_0), -F_25(x, 1) + (k_0*F_25(x, k_0) - F_25(x, 1))/(k_0 - 1))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_19(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0)*F_77(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_37(x, k_0))
Eq(F_131(x, k_0), F_72(x, k_0)*F_77(x, k_0))
Eq(F_132(x, k_0), F_6(x, k_0)*F_74(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]], "symmetry": true}], "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, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "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], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 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], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "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", 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1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}], "indices": [0, 0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_and_row_placements_tracked_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/24960/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[77,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[10,x,k[0]]+F[13,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[12,x] = x
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[15,x,k[0]] = F[133,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[132,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[0,x]+F[128,x,k[0]]+F[18,x,k[0]]
F[18,x,k[0]] = F[12,x]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x]+F[25,x,k[0]]
F[20,x] = 1/F[12,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[8,x,1]
F[25,x,k[0]] = F[124,x,k[0]]+F[126,x,k[0]]+F[26,x]+F[27,x,k[0]]
F[26,x] = 0
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[12,x]*F[29,x,k[0]]
F[29,x,k[0]] = -k[0]*(F[30,x,1]-F[30,x,k[0]])/(-1+k[0])
F[30,x,k[0]] = F[119,x,k[0]]+F[31,x,k[0]]
F[31,x,k[0]] = F[118,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[26,x]+F[33,x,k[0]]+F[35,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[37,x,k[0]] = F[0,x]+F[35,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[12,x]*F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[70,x,k[0]]
F[41,x,k[0]] = F[37,x,k[0]]+F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[117,x,k[0]]+F[44,x]
F[44,x] = -F[116,x]+F[45,x]
F[45,x] = -F[46,x]+F[24,x]
F[46,x] = F[26,x]+F[47,x]+F[50,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x,1]
F[49,x,k[0]] = F[12,x]*F[25,x,k[0]]
F[50,x] = F[51,x]
F[51,x] = F[12,x]*F[52,x]
F[52,x] = F[53,x]+F[69,x]
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[41,x,1]
F[55,x] = F[56,x,1]
F[56,x,k[0]] = F[57,x,k[0]]+F[67,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[12,x]*F[16,x,k[0]]*F[59,x]*F[60,x]
F[59,x] = F[1,x]+F[12,x]
F[60,x] = F[1,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[61,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[12,x]*F[61,x]
F[67,x,k[0]] = F[12,x]*F[68,x,k[0]]
F[68,x,k[0]] = 1/(-1+k[0])*(F[56,x,k[0]]*k[0]-F[56,x,1])
F[69,x] = F[70,x,1]
F[70,x,k[0]] = F[113,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[12,x]*F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]+F[98,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]+F[83,x,k[0]]
F[74,x,k[0]] = F[1,x]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]*F[78,x,k[0]]
F[77,x,k[0]] = k[0]*x
F[78,x,k[0]] = F[79,x,k[0]]+F[80,x,k[0]]
F[79,x,k[0]] = F[1,x]+F[77,x,k[0]]
F[80,x,k[0]] = F[75,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[75,x,k[0]]*F[77,x,k[0]]
F[83,x,k[0]] = F[84,x]+F[87,x,k[0]]
F[84,x] = F[85,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[1,x]+F[84,x]
F[87,x,k[0]] = F[26,x]+F[88,x,k[0]]+F[90,x,k[0]]
F[88,x,k[0]] = F[12,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[75,x,k[0]]+F[87,x,k[0]]
F[90,x,k[0]] = F[77,x,k[0]]*F[91,x,k[0]]
F[91,x,k[0]] = F[92,x,k[0]]+F[95,x,k[0]]
F[92,x,k[0]] = F[84,x]+F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[77,x,k[0]]*F[84,x]
F[95,x,k[0]] = F[87,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[77,x,k[0]]*F[87,x,k[0]]
F[98,x,k[0]] = F[111,x,k[0]]+F[2,x]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[12,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[98,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x]*F[74,x,k[0]]
F[103,x] = -F[108,x]+F[104,x]
F[104,x] = F[105,x,1]
F[105,x,k[0]] = F[106,x,k[0]]+F[9,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[12,x]
F[107,x,k[0]] = 1/(-1+k[0])*(F[105,x,k[0]]*k[0]-F[105,x,1])
F[108,x] = -F[5,x]+F[109,x]
F[109,x] = F[110,x]+F[4,x]
F[110,x] = F[104,x]*F[12,x]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = F[77,x,k[0]]*F[79,x,k[0]]*F[98,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[12,x]
F[115,x,k[0]] = F[102,x,k[0]]+F[55,x]
F[116,x] = F[0,x]+F[22,x]
F[117,x,k[0]] = F[103,x]*F[75,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]
F[70,x,k[0]] = F[120,x,k[0]]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[12,x]*F[123,x]
F[123,x] = F[104,x]+F[55,x]
F[124,x,k[0]] = F[12,x]*F[125,x,k[0]]
F[125,x,k[0]] = -k[0]*(F[25,x,1]-F[25,x,k[0]])/(-1+k[0])
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[19,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]*F[77,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[37,x,k[0]]
F[131,x,k[0]] = F[72,x,k[0]]*F[77,x,k[0]]
F[132,x,k[0]] = F[6,x,k[0]]*F[74,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{128}\! \left(x , y\right)+F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{25}\! \left(x , y\right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{25}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{126}\! \left(x , y\right)+F_{26}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = -\frac{y \left(F_{30}\! \left(x , 1\right)-F_{30}\! \left(x , y\right)\right)}{-1+y}
F_{30}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{33}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{35}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{24}\! \left(x \right)
F_{46}\! \left(x \right) = F_{26}\! \left(x \right)+F_{47}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x , 1\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{69}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{41}\! \left(x , 1\right)
F_{55}\! \left(x \right) = F_{56}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{16}\! \left(x , y\right) F_{59}\! \left(x \right) F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{60}\! \left(x \right) = F_{1}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{67}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = -\frac{-F_{56}\! \left(x , y\right) y +F_{56}\! \left(x , 1\right)}{-1+y}
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{70}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = y x
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{77}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{75}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{87}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{88}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{92}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{95}\! \left(x , y\right) = F_{87}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{2}\! \left(x \right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{74}\! \left(x , y\right)
F_{103}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x , 1\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{107}\! \left(x , y\right) = -\frac{-y F_{105}\! \left(x , y\right)+F_{105}\! \left(x , 1\right)}{-1+y}
F_{108}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{104}\! \left(x \right)+F_{55}\! \left(x \right)
F_{124}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = -\frac{y \left(F_{25}\! \left(x , 1\right)-F_{25}\! \left(x , y\right)\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{72}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{6}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_77(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_10(x, k_0) + F_13(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_15(x, k_0), F_133(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_132(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_0(x) + F_128(x, k_0) + F_18(x, k_0))
Eq(F_18(x, k_0), F_12(x)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x) + F_25(x, k_0))
Eq(F_20(x), F_21(x)/F_12(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_8(x, 1))
Eq(F_25(x, k_0), F_124(x, k_0) + F_126(x, k_0) + F_26(x) + F_27(x, k_0))
Eq(F_26(x), 0)
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_12(x)*F_29(x, k_0))
Eq(F_29(x, k_0), -F_30(x, 1) + (k_0*F_30(x, k_0) - F_30(x, 1))/(k_0 - 1))
Eq(F_30(x, k_0), F_119(x, k_0) + F_31(x, k_0))
Eq(F_31(x, k_0), F_118(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_26(x) + F_33(x, k_0) + F_35(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_37(x, k_0), F_0(x) + F_35(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_12(x)*F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_70(x, k_0))
Eq(F_41(x, k_0), F_37(x, k_0) + F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_117(x, k_0) + F_44(x))
Eq(F_44(x), -F_116(x) + F_45(x))
Eq(F_45(x), F_24(x) - F_46(x))
Eq(F_46(x), F_26(x) + F_47(x) + F_50(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x, 1))
Eq(F_49(x, k_0), F_12(x)*F_25(x, k_0))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_12(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_69(x))
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_41(x, 1))
Eq(F_55(x), F_56(x, 1))
Eq(F_56(x, k_0), F_57(x, k_0) + F_67(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_12(x)*F_16(x, k_0)*F_59(x)*F_60(x))
Eq(F_59(x), F_1(x) + F_12(x))
Eq(F_60(x), F_1(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_61(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_12(x)*F_61(x))
Eq(F_67(x, k_0), F_12(x)*F_68(x, k_0))
Eq(F_68(x, k_0), (k_0*F_56(x, k_0) - F_56(x, 1))/(k_0 - 1))
Eq(F_69(x), F_70(x, 1))
Eq(F_70(x, k_0), F_113(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_12(x)*F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0) + F_98(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0) + F_83(x, k_0))
Eq(F_74(x, k_0), F_1(x) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0)*F_78(x, k_0))
Eq(F_77(x, k_0), k_0*x)
Eq(F_78(x, k_0), F_79(x, k_0) + F_80(x, k_0))
Eq(F_79(x, k_0), F_1(x) + F_77(x, k_0))
Eq(F_80(x, k_0), F_75(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_75(x, k_0)*F_77(x, k_0))
Eq(F_83(x, k_0), F_84(x) + F_87(x, k_0))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_1(x) + F_84(x))
Eq(F_87(x, k_0), F_26(x) + F_88(x, k_0) + F_90(x, k_0))
Eq(F_88(x, k_0), F_12(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_75(x, k_0) + F_87(x, k_0))
Eq(F_90(x, k_0), F_77(x, k_0)*F_91(x, k_0))
Eq(F_91(x, k_0), F_92(x, k_0) + F_95(x, k_0))
Eq(F_92(x, k_0), F_84(x) + F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_77(x, k_0)*F_84(x))
Eq(F_95(x, k_0), F_87(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_77(x, k_0)*F_87(x, k_0))
Eq(F_98(x, k_0), F_111(x, k_0) + F_2(x) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_12(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_98(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x)*F_74(x, k_0))
Eq(F_103(x), F_104(x) - F_108(x))
Eq(F_104(x), F_105(x, 1))
Eq(F_105(x, k_0), F_106(x, k_0) + F_9(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_12(x))
Eq(F_107(x, k_0), (k_0*F_105(x, k_0) - F_105(x, 1))/(k_0 - 1))
Eq(F_108(x), F_109(x) - F_5(x))
Eq(F_109(x), F_110(x) + F_4(x))
Eq(F_110(x), F_104(x)*F_12(x))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), F_77(x, k_0)*F_79(x, k_0)*F_98(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_12(x))
Eq(F_115(x, k_0), F_102(x, k_0) + F_55(x))
Eq(F_116(x), F_0(x) + F_22(x))
Eq(F_117(x, k_0), F_103(x)*F_75(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_70(x, k_0), F_120(x, k_0) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_12(x)*F_123(x))
Eq(F_123(x), F_104(x) + F_55(x))
Eq(F_124(x, k_0), F_12(x)*F_125(x, k_0))
Eq(F_125(x, k_0), -F_25(x, 1) + (k_0*F_25(x, k_0) - F_25(x, 1))/(k_0 - 1))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_19(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0)*F_77(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_37(x, k_0))
Eq(F_131(x, k_0), F_72(x, k_0)*F_77(x, k_0))
Eq(F_132(x, k_0), F_6(x, k_0)*F_74(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]], "symmetry": true}], "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, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [0, 2, 1, 3, 4], [0, 2, 1, 4, 3], [0, 2, 4, 1, 3], [2, 0, 1, 3, 4], [2, 0, 1, 4, 3], [2, 0, 4, 1, 3]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "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], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 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], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "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", 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1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[2, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[1, 0]]}], "indices": [0, 0, 0], "direction": 3, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://www.permpal.com/tree/25495/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x,1]
F[6,x,k[0]] = F[7,x,k[0]]
F[7,x,k[0]] = F[77,x,k[0]]*F[8,x,k[0]]
F[8,x,k[0]] = F[10,x,k[0]]+F[13,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[0,x]+F[6,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[8,x,k[0]]*k[0]-F[8,x,1])
F[12,x] = x
F[13,x,k[0]] = F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[15,x,k[0]] = F[133,x,k[0]]+F[16,x,k[0]]
F[16,x,k[0]] = F[132,x,k[0]]+F[17,x,k[0]]
F[17,x,k[0]] = F[0,x]+F[128,x,k[0]]+F[18,x,k[0]]
F[18,x,k[0]] = F[12,x]*F[19,x,k[0]]
F[19,x,k[0]] = F[20,x]+F[25,x,k[0]]
F[20,x] = 1/F[12,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[23,x]
F[23,x] = F[12,x]*F[24,x]
F[24,x] = F[8,x,1]
F[25,x,k[0]] = F[124,x,k[0]]+F[126,x,k[0]]+F[26,x]+F[27,x,k[0]]
F[26,x] = 0
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[12,x]*F[29,x,k[0]]
F[29,x,k[0]] = -k[0]*(F[30,x,1]-F[30,x,k[0]])/(-1+k[0])
F[30,x,k[0]] = F[119,x,k[0]]+F[31,x,k[0]]
F[31,x,k[0]] = F[118,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[26,x]+F[33,x,k[0]]+F[35,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[34,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[37,x,k[0]] = F[0,x]+F[35,x,k[0]]+F[38,x,k[0]]
F[38,x,k[0]] = F[39,x,k[0]]
F[39,x,k[0]] = F[12,x]*F[40,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]+F[70,x,k[0]]
F[41,x,k[0]] = F[37,x,k[0]]+F[42,x,k[0]]
F[42,x,k[0]] = F[43,x,k[0]]
F[43,x,k[0]] = F[117,x,k[0]]+F[44,x]
F[44,x] = -F[116,x]+F[45,x]
F[45,x] = -F[46,x]+F[24,x]
F[46,x] = F[26,x]+F[47,x]+F[50,x]
F[47,x] = F[48,x]
F[48,x] = F[49,x,1]
F[49,x,k[0]] = F[12,x]*F[25,x,k[0]]
F[50,x] = F[51,x]
F[51,x] = F[12,x]*F[52,x]
F[52,x] = F[53,x]+F[69,x]
F[53,x] = F[54,x]+F[55,x]
F[54,x] = F[41,x,1]
F[55,x] = F[56,x,1]
F[56,x,k[0]] = F[57,x,k[0]]+F[67,x,k[0]]
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[12,x]*F[16,x,k[0]]*F[59,x]*F[60,x]
F[59,x] = F[1,x]+F[12,x]
F[60,x] = F[1,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[12,x]*F[63,x]
F[63,x] = F[59,x]+F[64,x]
F[64,x] = F[61,x]+F[65,x]
F[65,x] = F[66,x]
F[66,x] = F[12,x]*F[61,x]
F[67,x,k[0]] = F[12,x]*F[68,x,k[0]]
F[68,x,k[0]] = 1/(-1+k[0])*(F[56,x,k[0]]*k[0]-F[56,x,1])
F[69,x] = F[70,x,1]
F[70,x,k[0]] = F[113,x,k[0]]+F[71,x,k[0]]
F[71,x,k[0]] = F[12,x]*F[72,x,k[0]]
F[72,x,k[0]] = F[73,x,k[0]]+F[98,x,k[0]]
F[73,x,k[0]] = F[74,x,k[0]]+F[83,x,k[0]]
F[74,x,k[0]] = F[1,x]+F[75,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]*F[78,x,k[0]]
F[77,x,k[0]] = k[0]*x
F[78,x,k[0]] = F[79,x,k[0]]+F[80,x,k[0]]
F[79,x,k[0]] = F[1,x]+F[77,x,k[0]]
F[80,x,k[0]] = F[75,x,k[0]]+F[81,x,k[0]]
F[81,x,k[0]] = F[82,x,k[0]]
F[82,x,k[0]] = F[75,x,k[0]]*F[77,x,k[0]]
F[83,x,k[0]] = F[84,x]+F[87,x,k[0]]
F[84,x] = F[85,x]
F[85,x] = F[12,x]*F[86,x]
F[86,x] = F[1,x]+F[84,x]
F[87,x,k[0]] = F[26,x]+F[88,x,k[0]]+F[90,x,k[0]]
F[88,x,k[0]] = F[12,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[75,x,k[0]]+F[87,x,k[0]]
F[90,x,k[0]] = F[77,x,k[0]]*F[91,x,k[0]]
F[91,x,k[0]] = F[92,x,k[0]]+F[95,x,k[0]]
F[92,x,k[0]] = F[84,x]+F[93,x,k[0]]
F[93,x,k[0]] = F[94,x,k[0]]
F[94,x,k[0]] = F[77,x,k[0]]*F[84,x]
F[95,x,k[0]] = F[87,x,k[0]]+F[96,x,k[0]]
F[96,x,k[0]] = F[97,x,k[0]]
F[97,x,k[0]] = F[77,x,k[0]]*F[87,x,k[0]]
F[98,x,k[0]] = F[111,x,k[0]]+F[2,x]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]*F[12,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[98,x,k[0]]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[103,x]*F[74,x,k[0]]
F[103,x] = -F[108,x]+F[104,x]
F[104,x] = F[105,x,1]
F[105,x,k[0]] = F[106,x,k[0]]+F[9,x,k[0]]
F[106,x,k[0]] = F[107,x,k[0]]*F[12,x]
F[107,x,k[0]] = 1/(-1+k[0])*(F[105,x,k[0]]*k[0]-F[105,x,1])
F[108,x] = -F[5,x]+F[109,x]
F[109,x] = F[110,x]+F[4,x]
F[110,x] = F[104,x]*F[12,x]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = F[77,x,k[0]]*F[79,x,k[0]]*F[98,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[12,x]
F[115,x,k[0]] = F[102,x,k[0]]+F[55,x]
F[116,x] = F[0,x]+F[22,x]
F[117,x,k[0]] = F[103,x]*F[75,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]
F[119,x,k[0]] = F[120,x,k[0]]
F[70,x,k[0]] = F[120,x,k[0]]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[12,x]*F[123,x]
F[123,x] = F[104,x]+F[55,x]
F[124,x,k[0]] = F[12,x]*F[125,x,k[0]]
F[125,x,k[0]] = -k[0]*(F[25,x,1]-F[25,x,k[0]])/(-1+k[0])
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[19,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]
F[129,x,k[0]] = F[130,x,k[0]]*F[77,x,k[0]]
F[130,x,k[0]] = F[131,x,k[0]]+F[37,x,k[0]]
F[131,x,k[0]] = F[72,x,k[0]]*F[77,x,k[0]]
F[132,x,k[0]] = F[6,x,k[0]]*F[74,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[15,x,k[0]]*F[77,x,k[0]]*F[79,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y\right) = F_{7}\! \left(x , y\right)
F_{7}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{8}\! \left(x , y\right)
F_{8}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{6}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y\right) = -\frac{-F_{8}\! \left(x , y\right) y +F_{8}\! \left(x , 1\right)}{-1+y}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{132}\! \left(x , y\right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{128}\! \left(x , y\right)+F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = F_{20}\! \left(x \right)+F_{25}\! \left(x , y\right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{12}\! \left(x \right) F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{25}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{126}\! \left(x , y\right)+F_{26}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{26}\! \left(x \right) = 0
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = -\frac{y \left(F_{30}\! \left(x , 1\right)-F_{30}\! \left(x , y\right)\right)}{-1+y}
F_{30}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{33}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{35}\! \left(x , y\right)+F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{40}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)+F_{70}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = -F_{116}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{46}\! \left(x \right)+F_{24}\! \left(x \right)
F_{46}\! \left(x \right) = F_{26}\! \left(x \right)+F_{47}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x , 1\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{25}\! \left(x , y\right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)+F_{69}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{55}\! \left(x \right)
F_{54}\! \left(x \right) = F_{41}\! \left(x , 1\right)
F_{55}\! \left(x \right) = F_{56}\! \left(x , 1\right)
F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{16}\! \left(x , y\right) F_{59}\! \left(x \right) F_{60}\! \left(x \right)
F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{60}\! \left(x \right) = F_{1}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{12}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{59}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{61}\! \left(x \right)+F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{12}\! \left(x \right) F_{61}\! \left(x \right)
F_{67}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = -\frac{-F_{56}\! \left(x , y\right) y +F_{56}\! \left(x , 1\right)}{-1+y}
F_{69}\! \left(x \right) = F_{70}\! \left(x , 1\right)
F_{70}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{72}\! \left(x , y\right)
F_{72}\! \left(x , y\right) = F_{73}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{73}\! \left(x , y\right) = F_{74}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{74}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{75}\! \left(x , y\right)
F_{75}\! \left(x , y\right) = F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{78}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = y x
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , y\right)+F_{80}\! \left(x , y\right)
F_{79}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{77}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{81}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{82}\! \left(x , y\right)
F_{82}\! \left(x , y\right) = F_{75}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{12}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{1}\! \left(x \right)+F_{84}\! \left(x \right)
F_{87}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{88}\! \left(x , y\right)+F_{90}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{75}\! \left(x , y\right)+F_{87}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{91}\! \left(x , y\right)
F_{91}\! \left(x , y\right) = F_{92}\! \left(x , y\right)+F_{95}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{84}\! \left(x \right)+F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{84}\! \left(x \right)
F_{95}\! \left(x , y\right) = F_{87}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{96}\! \left(x , y\right) = F_{97}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{87}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{2}\! \left(x \right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{74}\! \left(x , y\right)
F_{103}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x , 1\right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{107}\! \left(x , y\right) = -\frac{-y F_{105}\! \left(x , y\right)+F_{105}\! \left(x , 1\right)}{-1+y}
F_{108}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{4}\! \left(x \right)
F_{110}\! \left(x \right) = F_{104}\! \left(x \right) F_{12}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right) F_{98}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{55}\! \left(x \right)
F_{116}\! \left(x \right) = F_{0}\! \left(x \right)+F_{22}\! \left(x \right)
F_{117}\! \left(x , y\right) = F_{103}\! \left(x \right) F_{75}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{120}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{12}\! \left(x \right) F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{104}\! \left(x \right)+F_{55}\! \left(x \right)
F_{124}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{125}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = -\frac{y \left(F_{25}\! \left(x , 1\right)-F_{25}\! \left(x , y\right)\right)}{-1+y}
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{130}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{72}\! \left(x , y\right) F_{77}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{6}\! \left(x , y\right) F_{74}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{15}\! \left(x , y\right) F_{77}\! \left(x , y\right) F_{79}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x, 1))
Eq(F_6(x, k_0), F_7(x, k_0))
Eq(F_7(x, k_0), F_77(x, k_0)*F_8(x, k_0))
Eq(F_8(x, k_0), F_10(x, k_0) + F_13(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_0(x) + F_6(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), (k_0*F_8(x, k_0) - F_8(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_15(x, k_0), F_133(x, k_0) + F_16(x, k_0))
Eq(F_16(x, k_0), F_132(x, k_0) + F_17(x, k_0))
Eq(F_17(x, k_0), F_0(x) + F_128(x, k_0) + F_18(x, k_0))
Eq(F_18(x, k_0), F_12(x)*F_19(x, k_0))
Eq(F_19(x, k_0), F_20(x) + F_25(x, k_0))
Eq(F_20(x), F_21(x)/F_12(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_23(x))
Eq(F_23(x), F_12(x)*F_24(x))
Eq(F_24(x), F_8(x, 1))
Eq(F_25(x, k_0), F_124(x, k_0) + F_126(x, k_0) + F_26(x) + F_27(x, k_0))
Eq(F_26(x), 0)
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_12(x)*F_29(x, k_0))
Eq(F_29(x, k_0), -F_30(x, 1) + (k_0*F_30(x, k_0) - F_30(x, 1))/(k_0 - 1))
Eq(F_30(x, k_0), F_119(x, k_0) + F_31(x, k_0))
Eq(F_31(x, k_0), F_118(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_26(x) + F_33(x, k_0) + F_35(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_34(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_37(x, k_0), F_0(x) + F_35(x, k_0) + F_38(x, k_0))
Eq(F_38(x, k_0), F_39(x, k_0))
Eq(F_39(x, k_0), F_12(x)*F_40(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0) + F_70(x, k_0))
Eq(F_41(x, k_0), F_37(x, k_0) + F_42(x, k_0))
Eq(F_42(x, k_0), F_43(x, k_0))
Eq(F_43(x, k_0), F_117(x, k_0) + F_44(x))
Eq(F_44(x), -F_116(x) + F_45(x))
Eq(F_45(x), F_24(x) - F_46(x))
Eq(F_46(x), F_26(x) + F_47(x) + F_50(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x, 1))
Eq(F_49(x, k_0), F_12(x)*F_25(x, k_0))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_12(x)*F_52(x))
Eq(F_52(x), F_53(x) + F_69(x))
Eq(F_53(x), F_54(x) + F_55(x))
Eq(F_54(x), F_41(x, 1))
Eq(F_55(x), F_56(x, 1))
Eq(F_56(x, k_0), F_57(x, k_0) + F_67(x, k_0))
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_12(x)*F_16(x, k_0)*F_59(x)*F_60(x))
Eq(F_59(x), F_1(x) + F_12(x))
Eq(F_60(x), F_1(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_12(x)*F_63(x))
Eq(F_63(x), F_59(x) + F_64(x))
Eq(F_64(x), F_61(x) + F_65(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_12(x)*F_61(x))
Eq(F_67(x, k_0), F_12(x)*F_68(x, k_0))
Eq(F_68(x, k_0), (k_0*F_56(x, k_0) - F_56(x, 1))/(k_0 - 1))
Eq(F_69(x), F_70(x, 1))
Eq(F_70(x, k_0), F_113(x, k_0) + F_71(x, k_0))
Eq(F_71(x, k_0), F_12(x)*F_72(x, k_0))
Eq(F_72(x, k_0), F_73(x, k_0) + F_98(x, k_0))
Eq(F_73(x, k_0), F_74(x, k_0) + F_83(x, k_0))
Eq(F_74(x, k_0), F_1(x) + F_75(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0)*F_78(x, k_0))
Eq(F_77(x, k_0), k_0*x)
Eq(F_78(x, k_0), F_79(x, k_0) + F_80(x, k_0))
Eq(F_79(x, k_0), F_1(x) + F_77(x, k_0))
Eq(F_80(x, k_0), F_75(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_75(x, k_0)*F_77(x, k_0))
Eq(F_83(x, k_0), F_84(x) + F_87(x, k_0))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_12(x)*F_86(x))
Eq(F_86(x), F_1(x) + F_84(x))
Eq(F_87(x, k_0), F_26(x) + F_88(x, k_0) + F_90(x, k_0))
Eq(F_88(x, k_0), F_12(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_75(x, k_0) + F_87(x, k_0))
Eq(F_90(x, k_0), F_77(x, k_0)*F_91(x, k_0))
Eq(F_91(x, k_0), F_92(x, k_0) + F_95(x, k_0))
Eq(F_92(x, k_0), F_84(x) + F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x, k_0))
Eq(F_94(x, k_0), F_77(x, k_0)*F_84(x))
Eq(F_95(x, k_0), F_87(x, k_0) + F_96(x, k_0))
Eq(F_96(x, k_0), F_97(x, k_0))
Eq(F_97(x, k_0), F_77(x, k_0)*F_87(x, k_0))
Eq(F_98(x, k_0), F_111(x, k_0) + F_2(x) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0)*F_12(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_98(x, k_0))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_103(x)*F_74(x, k_0))
Eq(F_103(x), F_104(x) - F_108(x))
Eq(F_104(x), F_105(x, 1))
Eq(F_105(x, k_0), F_106(x, k_0) + F_9(x, k_0))
Eq(F_106(x, k_0), F_107(x, k_0)*F_12(x))
Eq(F_107(x, k_0), (k_0*F_105(x, k_0) - F_105(x, 1))/(k_0 - 1))
Eq(F_108(x), F_109(x) - F_5(x))
Eq(F_109(x), F_110(x) + F_4(x))
Eq(F_110(x), F_104(x)*F_12(x))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), F_77(x, k_0)*F_79(x, k_0)*F_98(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_12(x))
Eq(F_115(x, k_0), F_102(x, k_0) + F_55(x))
Eq(F_116(x), F_0(x) + F_22(x))
Eq(F_117(x, k_0), F_103(x)*F_75(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0))
Eq(F_119(x, k_0), F_120(x, k_0))
Eq(F_70(x, k_0), F_120(x, k_0) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_12(x)*F_123(x))
Eq(F_123(x), F_104(x) + F_55(x))
Eq(F_124(x, k_0), F_12(x)*F_125(x, k_0))
Eq(F_125(x, k_0), -F_25(x, 1) + (k_0*F_25(x, k_0) - F_25(x, 1))/(k_0 - 1))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_19(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0))
Eq(F_129(x, k_0), F_130(x, k_0)*F_77(x, k_0))
Eq(F_130(x, k_0), F_131(x, k_0) + F_37(x, k_0))
Eq(F_131(x, k_0), F_72(x, k_0)*F_77(x, k_0))
Eq(F_132(x, k_0), F_6(x, k_0)*F_74(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_15(x, k_0)*F_77(x, k_0)*F_79(x, k_0))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "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], [0, 0]]}, {"patt": [0, 2, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1, 4, 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], [0, 0]]}, {"patt": [2, 0, 1, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 1, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "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", 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