01234_01324
Counting sequence:
1, 1, 2, 6, 24, 118, 672, 4258, 29241, 213865, 1645677, 13204357, 109723588, 939262476, 8247972113, 74046481335, 677723017097, 6309462532773, 59633410974352, 571266127477676, 5539077943518018, 54296295286835008, 537514293368807533, 5369183957725678389, 54073546482277396154, 548681689581766621100, 5605967152865629994885, 57642145388748915304763, 596183145214130228291490, 6199856422465315861962002, 64800357714174279256379413, 680479513799018765985505011, 7177234945273730123404401024, 76011459598092977571541111820, 808104256225281308417511413837, 8622212418198070620863203850353, 92307820495423891657171718663791, 991379845129549903912963579675277, 10679327438513099365991099262987656, 115365698865710163272427703365570560, 1249599747671314359844132124673642160, 13569510001415426197241670509646847766, 147706167394582697021191569206867027126, 1611464489460829871424834101977202422804, 17618978618801079183205283774923491150217, 193033327243837384019936858402003406004925, 2119006584411508285214327602155352541979357, 23304538536711356689014502390279700453154209, 256755226754373019745377725395127106639294230, 2833566941489464749977202873574989968985788170, 31322044126176875227373612359346657344468380861, 346767379449327561973539766347108256556442288227, 3844756701567239956241629325985027551625923278124, 42688872167535233561749488290556262542949916454038, 474624336546257467927415963915208321938683594290335, 5283851777574030259870884607326758240754032337862221, 58897074697403689077487458534387333032198834947604507, 657291096907790395034558842601943452977237334960513015, 7343825331505097047213791198717840279219389729381785401, 82142559904024903900593553374121334151063292572888712415, 919765681159149069115609436239758667894873572641795516283, 10309366237745608857056015553868141592530274339161322693597, 115668779895147527111077444717089664676429030257909495645042, 1299015146370484971937857114706423341192224040317983491725656, 14601967744490471114260559913593782918000680481596350788022991, 164283380376482578698152626735319396829003251624534127585048493, 1849897236843896080995720335004342255052107426630632223200229529, 20847817572129484224940219831909625873314025043351224181361823239, 235136749766106493673475721720312634472874998150549687989389297233, 2654090975730729961860489240656294211719008734169469049868299112515, 29980265768165784085279631406314310454140564129451196604506638758819, 338898017565965098080072097758965106568358426454807425649950619809393, 3833596729838858415315783785036208521542029481453748115745493771075389, 43394839591154232667397199469617653483420989431740775570693953733452311, 491535454800427892297139385010334748657561020975365194940754628253351385, 5571189682465655336685771552003212018298901964588947838934433633293238077, 63184271629242047961419801830903066061380630838160238150666762919071338395, 717017783394972376768619590969921486684150996094171104774921860363140612753, 8141474646307829196532295188829773058817761342974610839532451283103692651766, 92495593317873864685801355476026252121906118567964236149763002845298631010956, 1051421243921198275456307657497440356349985724756362374759938030336853890973277, 11958133367525839642821699108250615045002596196559988149929311551473319847541157, 136073780575426656451677641393458999013098544890960390764974822566373634420982068, 1549186318954822997062531062519613265352385738633164621731916644682867166497914282, 17645947104569329887123791647569166434823516429166883133359082812729232091430906150, 201090992518494836007487178393406568242040646892709141198281977559419795625943000934, 2292667179759341737860919502744122258364567255957602325135439583665343796581742591568, 26150789149381047678767987106764588817330436735886516071511867171845209596129908806248, 298413736020140149960934122236311929940491644555411013152247604179594196230783554610600, 3406732814632021102305842933447304652442491563967482585032730527047092477701106820933914, 38907900763293226936036512733081191650293705547353455549640036039753489600859716163403471, 444542583222125837761545017067673285074788422232546256987325279756242766904756784437907099, 5081130259458381654415301167526366539963365707837930593735140519645750943955984670718386943, 58099765980326461464284532735224933528274489319377295230907694274316327649394658918490459207, 664586304281318223293421721183789877275511364033671063228393897819625077809912429039560766911, 7604791984526366470719212861218342326606027609155061950817788559330212440905605110924598817425, 87051924180472453505345381315749058652423072544221668657312097546667067908020542220779473318065, 996829224978040641051293324902591870823603859074358815421406259216266442294427320972452498187293, 11418548293681502866337695465620881786385539082511590012046303162239852370234805938959234063465190, 130841429705576951680338471467198168246218906210227902963259318489257295357367098407193779599949072, 1499755814430652478316167697947496895008309439332382155955110454492463147122394188721082622216869619
Specification 1
Strategy pack name: row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24934/
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[4,x]
F[3,x] = x
F[4,x] = F[5,x,1]
F[5,x,k[0]] = F[1,x]+F[6,x,k[0]]+F[8,x,k[0]]
F[6,x,k[0]] = F[3,x]*F[7,x,k[0]]
F[7,x,k[0]] = 1/(-1+k[0])*(F[5,x,k[0]]*k[0]-F[5,x,1])
F[8,x,k[0]] = F[10,x,k[0]]*F[9,x,k[0]]
F[9,x,k[0]] = k[0]*x
F[10,x,k[0]] = F[11,x,1,k[0]]
F[11,x,k[0],k[1]] = F[12,x,k[0]*k[1],k[1]]
F[12,x,k[0],k[1]] = F[1,x]+F[13,x,k[0],k[1]]+F[15,x,k[0],k[1]]+F[18,x,k[1],k[0]]
F[13,x,k[0],k[1]] = F[14,x,k[0],k[1]]*F[3,x]
F[14,x,k[0],k[1]] = 1/(-1+k[0])*(F[12,x,k[0],k[1]]*k[0]-F[12,x,1,k[1]])
F[15,x,k[0],k[1]] = F[16,x,k[0],k[1]]*F[9,x,k[0]]
F[16,x,k[0],k[1]] = (F[17,x,k[0],1]*k[0]-F[17,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[17,x,k[0],k[1]] = F[12,x,k[0],k[0]*k[1]]
F[18,x,k[0],k[1]] = F[19,x,k[1],k[0]]*F[9,x,k[0]]
F[19,x,k[0],k[1]] = F[20,x,k[0],1,k[1]]
F[20,x,k[0],k[1],k[2]] = F[21,x,k[0],k[1]*k[2],k[2]]
F[21,x,k[0],k[1],k[2]] = F[1,x]+F[18,x,k[1],k[0]]+F[22,x,k[0],k[1],k[2]]+F[24,x,k[0],k[1],k[2]]+F[49,x,k[2],k[0],k[1]]
F[22,x,k[0],k[1],k[2]] = F[23,x,k[0],k[1],k[2]]*F[3,x]
F[23,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[21,x,k[0],k[1],k[2]]*k[0]-F[21,x,1,k[1],k[2]])
F[24,x,k[0],k[1],k[2]] = F[25,x,k[0],k[1],k[2]]*F[9,x,k[0]]
F[25,x,k[0],k[1],k[2]] = F[26,x,1,k[0],k[1],k[2]]
F[26,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[27,x,k[0],k[1],k[2],k[3]]+F[29,x,k[0],k[1],k[2],k[3]]+F[39,x,k[1],k[0],k[2],k[3]]+F[44,x,k[2],k[0],k[1]]+F[48,x,k[3],k[0],k[1],k[2]]
F[27,x,k[0],k[1],k[2],k[3]] = F[28,x,k[0],k[1],k[2],k[3]]*F[3,x]
F[28,x,k[0],k[1],k[2],k[3]] = 1/(k[0]*k[1]-1)*(F[26,x,k[0],k[1],k[2],k[3]]*k[0]*k[1]-F[26,x,1/k[1],k[1],k[2],k[3]])
F[29,x,k[0],k[1],k[2],k[3]] = F[30,x,k[0]*k[1],k[1],k[2],k[3]]
F[31,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[30,x,k[0],k[1],k[2],k[3]]+F[32,x,k[0],k[1],k[2],k[3]]+F[34,x,k[1],k[0],k[2],k[3]]+F[36,x,k[2],k[0],k[1]]+F[38,x,k[3],k[0],k[1],k[2]]
F[31,x,k[0],k[1],k[2],k[3]] = (F[21,x,k[0],k[2],k[3]]*k[0]-F[21,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[32,x,k[0],k[1],k[2],k[3]] = F[3,x]*F[33,x,k[0],k[1],k[2],k[3]]
F[33,x,k[0],k[1],k[2],k[3]] = 1/(-1+k[0])*(F[31,x,k[0],k[1],k[2],k[3]]*k[0]-F[31,x,1,k[1],k[2],k[3]])
F[34,x,k[0],k[1],k[2],k[3]] = F[35,x,k[1],k[0],k[2],k[3]]*F[9,x,k[0]]
F[35,x,k[0],k[1],k[2],k[3]] = (-F[26,x,1,k[1],k[2],k[3]]*k[1]+F[26,x,k[0]/k[1],k[1],k[2],k[3]]*k[0])/(-k[1]+k[0])
F[36,x,k[0],k[1],k[2]] = F[37,x,k[1],k[2],k[0]]*F[9,x,k[0]]
F[37,x,k[0],k[1],k[2]] = (F[19,x,k[0],k[2]]*k[0]-F[19,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[38,x,k[0],k[1],k[2],k[3]] = F[31,x,k[1],k[2],k[3],k[0]]*F[9,x,k[0]]
F[39,x,k[0],k[1],k[2],k[3]] = F[40,x,k[1],k[0],k[2],k[3]]*F[9,x,k[0]]
F[40,x,k[0],k[1],k[2],k[3]] = (F[41,x,k[0],k[1],k[2]]*k[2]-F[41,x,k[0],k[1],k[3]]*k[3])/(-k[3]+k[2])
F[41,x,k[0],k[1],k[2]] = (F[42,x,k[0],k[1],1]*k[1]-F[42,x,k[0],k[1],k[2]/k[1]]*k[2])/(-k[2]+k[1])
F[42,x,k[0],k[1],k[2]] = F[43,x,k[0]*k[1],k[1],k[2]]
F[43,x,k[0],k[1],k[2]] = F[21,x,k[0],k[1],k[1]*k[2]]
F[44,x,k[0],k[1],k[2]] = F[45,x,k[1],k[2],k[0]]*F[9,x,k[0]]
F[45,x,k[0],k[1],k[2]] = F[46,x,k[0],k[1],1,k[2]]
F[46,x,k[0],k[1],k[2],k[3]] = (F[47,x,k[0],k[1],k[2]/k[3],k[3]]*k[1]*k[2]-F[47,x,k[0],k[1],1/k[1],k[3]]*k[3])/(k[1]*k[2]-k[3])
F[47,x,k[0],k[1],k[2],k[3]] = F[20,x,k[0]*k[1],k[1]*k[2],k[3]]
F[48,x,k[0],k[1],k[2],k[3]] = F[26,x,k[1],k[2],k[3],k[0]]*F[9,x,k[0]]
F[49,x,k[0],k[1],k[2]] = F[21,x,k[1],k[2],k[0]]*F[9,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_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{5}\! \left(x , 1\right)
F_{5}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{6}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{6}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{7}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = -\frac{-F_{5}\! \left(x , y_{0}\right) y_{0}+F_{5}\! \left(x , 1\right)}{-1+y_{0}}
F_{8}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = y_{0} x
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , 1, y_{0}\right)
F_{11}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{12}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{13}\! \left(x , y_{0}, y_{1}\right)+F_{15}\! \left(x , y_{0}, y_{1}\right)+F_{18}\! \left(x , y_{1}, y_{0}\right)
F_{13}\! \left(x , y_{0}, y_{1}\right) = F_{14}\! \left(x , y_{0}, y_{1}\right) F_{3}\! \left(x \right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{12}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{12}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{15}\! \left(x , y_{0}, y_{1}\right) = F_{16}\! \left(x , y_{0}, y_{1}\right) F_{9}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{17}\! \left(x , y_{0}, 1\right) y_{0}-F_{17}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{17}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{19}\! \left(x , y_{1}, y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{20}\! \left(x , y_{0}, 1, y_{1}\right)
F_{20}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{18}\! \left(x , y_{1}, y_{0}\right)+F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{49}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{3}\! \left(x \right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{21}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{9}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{26}\! \left(x , 1, y_{0}, y_{1}, y_{2}\right)
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{39}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)+F_{44}\! \left(x , y_{2}, y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{3}, y_{0}, y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{28}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{3}\! \left(x \right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{26}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{0} y_{1}-F_{26}\! \left(x , \frac{1}{y_{1}}, y_{1}, y_{2}, y_{3}\right)}{y_{0} y_{1}-1}
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{30}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{32}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{34}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)+F_{36}\! \left(x , y_{2}, y_{0}, y_{1}\right)+F_{38}\! \left(x , y_{3}, y_{0}, y_{1}, y_{2}\right)
F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{21}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{21}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{3}\! \left(x \right) F_{33}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{0}+F_{31}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right)}{-1+y_{0}}
F_{34}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{35}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right) F_{9}\! \left(x , y_{0}\right)
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{26}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{26}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{37}\! \left(x , y_{1}, y_{2}, y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{19}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{19}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{31}\! \left(x , y_{1}, y_{2}, y_{3}, y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{39}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{40}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right) F_{9}\! \left(x , y_{0}\right)
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{41}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{41}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}
F_{41}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{42}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{42}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{43}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{45}\! \left(x , y_{1}, y_{2}, y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{45}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{46}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)
F_{46}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-y_{1} y_{2} F_{47}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{3}}, y_{3}\right)+y_{3} F_{47}\! \left(x , y_{0}, y_{1}, \frac{1}{y_{1}}, y_{3}\right)}{y_{1} y_{2}-y_{3}}
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{20}\! \left(x , y_{0} y_{1}, y_{1} y_{2}, y_{3}\right)
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{26}\! \left(x , y_{1}, y_{2}, y_{3}, y_{0}\right) F_{9}\! \left(x , y_{0}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{21}\! \left(x , y_{1}, y_{2}, y_{0}\right) F_{9}\! \left(x , y_{0}\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)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_5(x, 1))
Eq(F_5(x, k_0), F_1(x) + F_6(x, k_0) + F_8(x, k_0))
Eq(F_6(x, k_0), F_3(x)*F_7(x, k_0))
Eq(F_7(x, k_0), (k_0*F_5(x, k_0) - F_5(x, 1))/(k_0 - 1))
Eq(F_8(x, k_0), F_10(x, k_0)*F_9(x, k_0))
Eq(F_9(x, k_0), k_0*x)
Eq(F_10(x, k_0), F_11(x, 1, k_0))
Eq(F_11(x, k_0, k_1), F_12(x, k_0*k_1, k_1))
Eq(F_12(x, k_0, k_1), F_1(x) + F_13(x, k_0, k_1) + F_15(x, k_0, k_1) + F_18(x, k_1, k_0))
Eq(F_13(x, k_0, k_1), F_14(x, k_0, k_1)*F_3(x))
Eq(F_14(x, k_0, k_1), (k_0*F_12(x, k_0, k_1) - F_12(x, 1, k_1))/(k_0 - 1))
Eq(F_15(x, k_0, k_1), F_16(x, k_0, k_1)*F_9(x, k_0))
Eq(F_16(x, k_0, k_1), (-k_0*F_17(x, k_0, 1) + k_1*F_17(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_17(x, k_0, k_1), F_12(x, k_0, k_0*k_1))
Eq(F_18(x, k_0, k_1), F_19(x, k_1, k_0)*F_9(x, k_0))
Eq(F_19(x, k_0, k_1), F_20(x, k_0, 1, k_1))
Eq(F_20(x, k_0, k_1, k_2), F_21(x, k_0, k_1*k_2, k_2))
Eq(F_21(x, k_0, k_1, k_2), F_1(x) + F_18(x, k_1, k_0) + F_22(x, k_0, k_1, k_2) + F_24(x, k_0, k_1, k_2) + F_49(x, k_2, k_0, k_1))
Eq(F_22(x, k_0, k_1, k_2), F_23(x, k_0, k_1, k_2)*F_3(x))
Eq(F_23(x, k_0, k_1, k_2), (k_0*F_21(x, k_0, k_1, k_2) - F_21(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_24(x, k_0, k_1, k_2), F_25(x, k_0, k_1, k_2)*F_9(x, k_0))
Eq(F_25(x, k_0, k_1, k_2), F_26(x, 1, k_0, k_1, k_2))
Eq(F_26(x, k_0, k_1, k_2, k_3), F_1(x) + F_27(x, k_0, k_1, k_2, k_3) + F_29(x, k_0, k_1, k_2, k_3) + F_39(x, k_1, k_0, k_2, k_3) + F_44(x, k_2, k_0, k_1) + F_48(x, k_3, k_0, k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2, k_3), F_28(x, k_0, k_1, k_2, k_3)*F_3(x))
Eq(F_28(x, k_0, k_1, k_2, k_3), (k_0*k_1*F_26(x, k_0, k_1, k_2, k_3) - F_26(x, 1/k_1, k_1, k_2, k_3))/(k_0*k_1 - 1))
Eq(F_29(x, k_0, k_1, k_2, k_3), F_30(x, k_0*k_1, k_1, k_2, k_3))
Eq(F_31(x, k_0, k_1, k_2, k_3), F_1(x) + F_30(x, k_0, k_1, k_2, k_3) + F_32(x, k_0, k_1, k_2, k_3) + F_34(x, k_1, k_0, k_2, k_3) + F_36(x, k_2, k_0, k_1) + F_38(x, k_3, k_0, k_1, k_2))
Eq(F_31(x, k_0, k_1, k_2, k_3), (-k_0*F_21(x, k_0, k_2, k_3) + k_1*F_21(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_32(x, k_0, k_1, k_2, k_3), F_3(x)*F_33(x, k_0, k_1, k_2, k_3))
Eq(F_33(x, k_0, k_1, k_2, k_3), (k_0*F_31(x, k_0, k_1, k_2, k_3) - F_31(x, 1, k_1, k_2, k_3))/(k_0 - 1))
Eq(F_34(x, k_0, k_1, k_2, k_3), F_35(x, k_1, k_0, k_2, k_3)*F_9(x, k_0))
Eq(F_35(x, k_0, k_1, k_2, k_3), (-k_0*F_26(x, k_0/k_1, k_1, k_2, k_3) + k_1*F_26(x, 1, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_36(x, k_0, k_1, k_2), F_37(x, k_1, k_2, k_0)*F_9(x, k_0))
Eq(F_37(x, k_0, k_1, k_2), (-k_0*F_19(x, k_0, k_2) + k_1*F_19(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_38(x, k_0, k_1, k_2, k_3), F_31(x, k_1, k_2, k_3, k_0)*F_9(x, k_0))
Eq(F_39(x, k_0, k_1, k_2, k_3), F_40(x, k_1, k_0, k_2, k_3)*F_9(x, k_0))
Eq(F_40(x, k_0, k_1, k_2, k_3), (-k_2*F_41(x, k_0, k_1, k_2) + k_3*F_41(x, k_0, k_1, k_3))/(-k_2 + k_3))
Eq(F_41(x, k_0, k_1, k_2), (-k_1*F_42(x, k_0, k_1, 1) + k_2*F_42(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_42(x, k_0, k_1, k_2), F_43(x, k_0*k_1, k_1, k_2))
Eq(F_43(x, k_0, k_1, k_2), F_21(x, k_0, k_1, k_1*k_2))
Eq(F_44(x, k_0, k_1, k_2), F_45(x, k_1, k_2, k_0)*F_9(x, k_0))
Eq(F_45(x, k_0, k_1, k_2), F_46(x, k_0, k_1, 1, k_2))
Eq(F_46(x, k_0, k_1, k_2, k_3), (-k_1*k_2*F_47(x, k_0, k_1, k_2/k_3, k_3) + k_3*F_47(x, k_0, k_1, 1/k_1, k_3))/(-k_1*k_2 + k_3))
Eq(F_47(x, k_0, k_1, k_2, k_3), F_20(x, k_0*k_1, k_1*k_2, k_3))
Eq(F_48(x, k_0, k_1, k_2, k_3), F_26(x, k_1, k_2, k_3, k_0)*F_9(x, k_0))
Eq(F_49(x, k_0, k_1, k_2), F_21(x, k_1, k_2, k_0)*F_9(x, k_0))
Pack JSON:
{"name": "row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]]}], "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, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 3], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2], "pos": [[0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 3], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 3], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 3], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 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"pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 2]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}]}]}], "strategy": {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionStrategy", "row_idx": 2, "col_idx": null, "tracked": true}}]}
Specification 2
Strategy pack name: point_and_row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25247/
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[6,x,1]
F[6,x,k[0]] = F[1,x]+F[7,x,k[0]]+F[9,x,k[0]]
F[7,x,k[0]] = F[4,x]*F[8,x,k[0]]
F[8,x,k[0]] = 1/(-1+k[0])*(F[6,x,k[0]]*k[0]-F[6,x,1])
F[9,x,k[0]] = F[10,x,k[0]]*F[11,x,k[0]]
F[10,x,k[0]] = k[0]*x
F[11,x,k[0]] = F[12,x,1,k[0]]
F[12,x,k[0],k[1]] = F[13,x,k[0]*k[1],k[1]]
F[13,x,k[0],k[1]] = F[1,x]+F[14,x,k[0],k[1]]+F[16,x,k[0],k[1]]+F[19,x,k[1],k[0]]
F[14,x,k[0],k[1]] = F[15,x,k[0],k[1]]*F[4,x]
F[15,x,k[0],k[1]] = 1/(-1+k[0])*(F[13,x,k[0],k[1]]*k[0]-F[13,x,1,k[1]])
F[16,x,k[0],k[1]] = F[10,x,k[0]]*F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = (F[18,x,k[0],1]*k[0]-F[18,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[18,x,k[0],k[1]] = F[13,x,k[0],k[0]*k[1]]
F[19,x,k[0],k[1]] = F[10,x,k[0]]*F[20,x,k[1],k[0]]
F[20,x,k[0],k[1]] = F[21,x,k[0],1,k[1]]
F[21,x,k[0],k[1],k[2]] = F[22,x,k[0],k[1]*k[2],k[2]]
F[22,x,k[0],k[1],k[2]] = F[1,x]+F[19,x,k[1],k[0]]+F[23,x,k[0],k[1],k[2]]+F[25,x,k[0],k[1],k[2]]+F[50,x,k[2],k[0],k[1]]
F[23,x,k[0],k[1],k[2]] = F[24,x,k[0],k[1],k[2]]*F[4,x]
F[24,x,k[0],k[1],k[2]] = 1/(-1+k[0])*(F[22,x,k[0],k[1],k[2]]*k[0]-F[22,x,1,k[1],k[2]])
F[25,x,k[0],k[1],k[2]] = F[10,x,k[0]]*F[26,x,k[0],k[1],k[2]]
F[26,x,k[0],k[1],k[2]] = F[27,x,1,k[0],k[1],k[2]]
F[27,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[28,x,k[0],k[1],k[2],k[3]]+F[30,x,k[0],k[1],k[2],k[3]]+F[40,x,k[1],k[0],k[2],k[3]]+F[45,x,k[2],k[0],k[1]]+F[49,x,k[3],k[0],k[1],k[2]]
F[28,x,k[0],k[1],k[2],k[3]] = F[29,x,k[0],k[1],k[2],k[3]]*F[4,x]
F[29,x,k[0],k[1],k[2],k[3]] = 1/(k[0]*k[1]-1)*(F[27,x,k[0],k[1],k[2],k[3]]*k[0]*k[1]-F[27,x,1/k[1],k[1],k[2],k[3]])
F[30,x,k[0],k[1],k[2],k[3]] = F[31,x,k[0]*k[1],k[1],k[2],k[3]]
F[32,x,k[0],k[1],k[2],k[3]] = F[1,x]+F[31,x,k[0],k[1],k[2],k[3]]+F[33,x,k[0],k[1],k[2],k[3]]+F[35,x,k[1],k[0],k[2],k[3]]+F[37,x,k[2],k[0],k[1]]+F[39,x,k[3],k[0],k[1],k[2]]
F[32,x,k[0],k[1],k[2],k[3]] = (F[22,x,k[0],k[2],k[3]]*k[0]-F[22,x,k[1],k[2],k[3]]*k[1])/(-k[1]+k[0])
F[33,x,k[0],k[1],k[2],k[3]] = F[34,x,k[0],k[1],k[2],k[3]]*F[4,x]
F[34,x,k[0],k[1],k[2],k[3]] = 1/(-1+k[0])*(F[32,x,k[0],k[1],k[2],k[3]]*k[0]-F[32,x,1,k[1],k[2],k[3]])
F[35,x,k[0],k[1],k[2],k[3]] = F[10,x,k[0]]*F[36,x,k[1],k[0],k[2],k[3]]
F[36,x,k[0],k[1],k[2],k[3]] = (-F[27,x,1,k[1],k[2],k[3]]*k[1]+F[27,x,k[0]/k[1],k[1],k[2],k[3]]*k[0])/(-k[1]+k[0])
F[37,x,k[0],k[1],k[2]] = F[10,x,k[0]]*F[38,x,k[1],k[2],k[0]]
F[38,x,k[0],k[1],k[2]] = (F[20,x,k[0],k[2]]*k[0]-F[20,x,k[1],k[2]]*k[1])/(-k[1]+k[0])
F[39,x,k[0],k[1],k[2],k[3]] = F[10,x,k[0]]*F[32,x,k[1],k[2],k[3],k[0]]
F[40,x,k[0],k[1],k[2],k[3]] = F[10,x,k[0]]*F[41,x,k[1],k[0],k[2],k[3]]
F[41,x,k[0],k[1],k[2],k[3]] = (F[42,x,k[0],k[1],k[2]]*k[2]-F[42,x,k[0],k[1],k[3]]*k[3])/(-k[3]+k[2])
F[42,x,k[0],k[1],k[2]] = (F[43,x,k[0],k[1],1]*k[1]-F[43,x,k[0],k[1],k[2]/k[1]]*k[2])/(-k[2]+k[1])
F[43,x,k[0],k[1],k[2]] = F[44,x,k[0]*k[1],k[1],k[2]]
F[44,x,k[0],k[1],k[2]] = F[22,x,k[0],k[1],k[1]*k[2]]
F[45,x,k[0],k[1],k[2]] = F[10,x,k[0]]*F[46,x,k[1],k[2],k[0]]
F[46,x,k[0],k[1],k[2]] = F[47,x,k[0],k[1],1,k[2]]
F[47,x,k[0],k[1],k[2],k[3]] = (F[48,x,k[0],k[1],k[2]/k[3],k[3]]*k[1]*k[2]-F[48,x,k[0],k[1],1/k[1],k[3]]*k[3])/(k[1]*k[2]-k[3])
F[48,x,k[0],k[1],k[2],k[3]] = F[21,x,k[0]*k[1],k[1]*k[2],k[3]]
F[49,x,k[0],k[1],k[2],k[3]] = F[10,x,k[0]]*F[27,x,k[1],k[2],k[3],k[0]]
F[50,x,k[0],k[1],k[2]] = F[10,x,k[0]]*F[22,x,k[1],k[2],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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{6}\! \left(x , 1\right)
F_{6}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{7}\! \left(x , y_{0}\right)+F_{9}\! \left(x , y_{0}\right)
F_{7}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right) F_{8}\! \left(x , y_{0}\right)
F_{8}\! \left(x , y_{0}\right) = -\frac{-F_{6}\! \left(x , y_{0}\right) y_{0}+F_{6}\! \left(x , 1\right)}{-1+y_{0}}
F_{9}\! \left(x , y_{0}\right) = F_{10}\! \left(x , y_{0}\right) F_{11}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = y_{0} x
F_{11}\! \left(x , y_{0}\right) = F_{12}\! \left(x , 1, y_{0}\right)
F_{12}\! \left(x , y_{0}, y_{1}\right) = F_{13}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{13}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{14}\! \left(x , y_{0}, y_{1}\right)+F_{16}\! \left(x , y_{0}, y_{1}\right)+F_{19}\! \left(x , y_{1}, y_{0}\right)
F_{14}\! \left(x , y_{0}, y_{1}\right) = F_{15}\! \left(x , y_{0}, y_{1}\right) F_{4}\! \left(x \right)
F_{15}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{13}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{13}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{16}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x , y_{0}\right) F_{17}\! \left(x , y_{0}, y_{1}\right)
F_{17}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{18}\! \left(x , y_{0}, 1\right) y_{0}-F_{18}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{18}\! \left(x , y_{0}, y_{1}\right) = F_{13}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{19}\! \left(x , y_{0}, y_{1}\right) = F_{10}\! \left(x , y_{0}\right) F_{20}\! \left(x , y_{1}, y_{0}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = F_{21}\! \left(x , y_{0}, 1, y_{1}\right)
F_{21}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{22}\! \left(x , y_{0}, y_{1} y_{2}, y_{2}\right)
F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{1}\! \left(x \right)+F_{19}\! \left(x , y_{1}, y_{0}\right)+F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{50}\! \left(x , y_{2}, y_{0}, y_{1}\right)
F_{23}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{4}\! \left(x \right)
F_{24}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{22}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{0}+F_{22}\! \left(x , 1, y_{1}, y_{2}\right)}{-1+y_{0}}
F_{25}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x , y_{0}\right) F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{26}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{27}\! \left(x , 1, y_{0}, y_{1}, y_{2}\right)
F_{27}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{28}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{40}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)+F_{45}\! \left(x , y_{2}, y_{0}, y_{1}\right)+F_{49}\! \left(x , y_{3}, y_{0}, y_{1}, y_{2}\right)
F_{28}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{4}\! \left(x \right)
F_{29}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{27}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{0} y_{1}-F_{27}\! \left(x , \frac{1}{y_{1}}, y_{1}, y_{2}, y_{3}\right)}{y_{0} y_{1}-1}
F_{30}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{31}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}, y_{3}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{33}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right)+F_{35}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)+F_{37}\! \left(x , y_{2}, y_{0}, y_{1}\right)+F_{39}\! \left(x , y_{3}, y_{0}, y_{1}, y_{2}\right)
F_{32}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{22}\! \left(x , y_{0}, y_{2}, y_{3}\right) y_{0}-F_{22}\! \left(x , y_{1}, y_{2}, y_{3}\right) y_{1}}{-y_{1}+y_{0}}
F_{33}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{34}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) F_{4}\! \left(x \right)
F_{34}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-F_{32}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) y_{0}+F_{32}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{10}\! \left(x , y_{0}\right) F_{36}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)
F_{36}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{F_{27}\! \left(x , 1, y_{1}, y_{2}, y_{3}\right) y_{1}-F_{27}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}, y_{2}, y_{3}\right) y_{0}}{-y_{1}+y_{0}}
F_{37}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x , y_{0}\right) F_{38}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{20}\! \left(x , y_{0}, y_{2}\right) y_{0}-F_{20}\! \left(x , y_{1}, y_{2}\right) y_{1}}{-y_{1}+y_{0}}
F_{39}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{10}\! \left(x , y_{0}\right) F_{32}\! \left(x , y_{1}, y_{2}, y_{3}, y_{0}\right)
F_{40}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{10}\! \left(x , y_{0}\right) F_{41}\! \left(x , y_{1}, y_{0}, y_{2}, y_{3}\right)
F_{41}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = \frac{F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) y_{2}-F_{42}\! \left(x , y_{0}, y_{1}, y_{3}\right) y_{3}}{-y_{3}+y_{2}}
F_{42}\! \left(x , y_{0}, y_{1}, y_{2}\right) = \frac{F_{43}\! \left(x , y_{0}, y_{1}, 1\right) y_{1}-F_{43}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{1}}\right) y_{2}}{-y_{2}+y_{1}}
F_{43}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{44}\! \left(x , y_{0} y_{1}, y_{1}, y_{2}\right)
F_{44}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{22}\! \left(x , y_{0}, y_{1}, y_{1} y_{2}\right)
F_{45}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x , y_{0}\right) F_{46}\! \left(x , y_{1}, y_{2}, y_{0}\right)
F_{46}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{47}\! \left(x , y_{0}, y_{1}, 1, y_{2}\right)
F_{47}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = -\frac{-y_{1} y_{2} F_{48}\! \left(x , y_{0}, y_{1}, \frac{y_{2}}{y_{3}}, y_{3}\right)+y_{3} F_{48}\! \left(x , y_{0}, y_{1}, \frac{1}{y_{1}}, y_{3}\right)}{y_{1} y_{2}-y_{3}}
F_{48}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{21}\! \left(x , y_{0} y_{1}, y_{1} y_{2}, y_{3}\right)
F_{49}\! \left(x , y_{0}, y_{1}, y_{2}, y_{3}\right) = F_{10}\! \left(x , y_{0}\right) F_{27}\! \left(x , y_{1}, y_{2}, y_{3}, y_{0}\right)
F_{50}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{10}\! \left(x , y_{0}\right) F_{22}\! \left(x , y_{1}, y_{2}, y_{0}\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_6(x, 1))
Eq(F_6(x, k_0), F_1(x) + F_7(x, k_0) + F_9(x, k_0))
Eq(F_7(x, k_0), F_4(x)*F_8(x, k_0))
Eq(F_8(x, k_0), (k_0*F_6(x, k_0) - F_6(x, 1))/(k_0 - 1))
Eq(F_9(x, k_0), F_10(x, k_0)*F_11(x, k_0))
Eq(F_10(x, k_0), k_0*x)
Eq(F_11(x, k_0), F_12(x, 1, k_0))
Eq(F_12(x, k_0, k_1), F_13(x, k_0*k_1, k_1))
Eq(F_13(x, k_0, k_1), F_1(x) + F_14(x, k_0, k_1) + F_16(x, k_0, k_1) + F_19(x, k_1, k_0))
Eq(F_14(x, k_0, k_1), F_15(x, k_0, k_1)*F_4(x))
Eq(F_15(x, k_0, k_1), (k_0*F_13(x, k_0, k_1) - F_13(x, 1, k_1))/(k_0 - 1))
Eq(F_16(x, k_0, k_1), F_10(x, k_0)*F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), (-k_0*F_18(x, k_0, 1) + k_1*F_18(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_18(x, k_0, k_1), F_13(x, k_0, k_0*k_1))
Eq(F_19(x, k_0, k_1), F_10(x, k_0)*F_20(x, k_1, k_0))
Eq(F_20(x, k_0, k_1), F_21(x, k_0, 1, k_1))
Eq(F_21(x, k_0, k_1, k_2), F_22(x, k_0, k_1*k_2, k_2))
Eq(F_22(x, k_0, k_1, k_2), F_1(x) + F_19(x, k_1, k_0) + F_23(x, k_0, k_1, k_2) + F_25(x, k_0, k_1, k_2) + F_50(x, k_2, k_0, k_1))
Eq(F_23(x, k_0, k_1, k_2), F_24(x, k_0, k_1, k_2)*F_4(x))
Eq(F_24(x, k_0, k_1, k_2), (k_0*F_22(x, k_0, k_1, k_2) - F_22(x, 1, k_1, k_2))/(k_0 - 1))
Eq(F_25(x, k_0, k_1, k_2), F_10(x, k_0)*F_26(x, k_0, k_1, k_2))
Eq(F_26(x, k_0, k_1, k_2), F_27(x, 1, k_0, k_1, k_2))
Eq(F_27(x, k_0, k_1, k_2, k_3), F_1(x) + F_28(x, k_0, k_1, k_2, k_3) + F_30(x, k_0, k_1, k_2, k_3) + F_40(x, k_1, k_0, k_2, k_3) + F_45(x, k_2, k_0, k_1) + F_49(x, k_3, k_0, k_1, k_2))
Eq(F_28(x, k_0, k_1, k_2, k_3), F_29(x, k_0, k_1, k_2, k_3)*F_4(x))
Eq(F_29(x, k_0, k_1, k_2, k_3), (k_0*k_1*F_27(x, k_0, k_1, k_2, k_3) - F_27(x, 1/k_1, k_1, k_2, k_3))/(k_0*k_1 - 1))
Eq(F_30(x, k_0, k_1, k_2, k_3), F_31(x, k_0*k_1, k_1, k_2, k_3))
Eq(F_32(x, k_0, k_1, k_2, k_3), F_1(x) + F_31(x, k_0, k_1, k_2, k_3) + F_33(x, k_0, k_1, k_2, k_3) + F_35(x, k_1, k_0, k_2, k_3) + F_37(x, k_2, k_0, k_1) + F_39(x, k_3, k_0, k_1, k_2))
Eq(F_32(x, k_0, k_1, k_2, k_3), (-k_0*F_22(x, k_0, k_2, k_3) + k_1*F_22(x, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_33(x, k_0, k_1, k_2, k_3), F_34(x, k_0, k_1, k_2, k_3)*F_4(x))
Eq(F_34(x, k_0, k_1, k_2, k_3), (k_0*F_32(x, k_0, k_1, k_2, k_3) - F_32(x, 1, k_1, k_2, k_3))/(k_0 - 1))
Eq(F_35(x, k_0, k_1, k_2, k_3), F_10(x, k_0)*F_36(x, k_1, k_0, k_2, k_3))
Eq(F_36(x, k_0, k_1, k_2, k_3), (-k_0*F_27(x, k_0/k_1, k_1, k_2, k_3) + k_1*F_27(x, 1, k_1, k_2, k_3))/(-k_0 + k_1))
Eq(F_37(x, k_0, k_1, k_2), F_10(x, k_0)*F_38(x, k_1, k_2, k_0))
Eq(F_38(x, k_0, k_1, k_2), (-k_0*F_20(x, k_0, k_2) + k_1*F_20(x, k_1, k_2))/(-k_0 + k_1))
Eq(F_39(x, k_0, k_1, k_2, k_3), F_10(x, k_0)*F_32(x, k_1, k_2, k_3, k_0))
Eq(F_40(x, k_0, k_1, k_2, k_3), F_10(x, k_0)*F_41(x, k_1, k_0, k_2, k_3))
Eq(F_41(x, k_0, k_1, k_2, k_3), (-k_2*F_42(x, k_0, k_1, k_2) + k_3*F_42(x, k_0, k_1, k_3))/(-k_2 + k_3))
Eq(F_42(x, k_0, k_1, k_2), (-k_1*F_43(x, k_0, k_1, 1) + k_2*F_43(x, k_0, k_1, k_2/k_1))/(-k_1 + k_2))
Eq(F_43(x, k_0, k_1, k_2), F_44(x, k_0*k_1, k_1, k_2))
Eq(F_44(x, k_0, k_1, k_2), F_22(x, k_0, k_1, k_1*k_2))
Eq(F_45(x, k_0, k_1, k_2), F_10(x, k_0)*F_46(x, k_1, k_2, k_0))
Eq(F_46(x, k_0, k_1, k_2), F_47(x, k_0, k_1, 1, k_2))
Eq(F_47(x, k_0, k_1, k_2, k_3), (-k_1*k_2*F_48(x, k_0, k_1, k_2/k_3, k_3) + k_3*F_48(x, k_0, k_1, 1/k_1, k_3))/(-k_1*k_2 + k_3))
Eq(F_48(x, k_0, k_1, k_2, k_3), F_21(x, k_0*k_1, k_1*k_2, k_3))
Eq(F_49(x, k_0, k_1, k_2, k_3), F_10(x, k_0)*F_27(x, k_1, k_2, k_3, k_0))
Eq(F_50(x, k_0, k_1, k_2), F_10(x, k_0)*F_22(x, k_1, k_2, k_0))
Pack JSON:
{"name": "point_and_row_and_col_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 3, 2, 4]]}], "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, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 3], [0, 4]]}, {"patt": [0, 1], "pos": [[0, 4], [0, 4]]}, {"patt": [0, 1, 2], "pos": [[0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2], "pos": [[0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 1], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 1], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 3], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 1], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 3], [0, 1], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 1], [0, 3], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 4]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 2], [0, 3], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 4]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], 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