02341_02413_02431_04123_04213_04231_20341_20413_20431

Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2772, 14394, 76159, 409444, 2231099, 12296246, 68423867, 383908270, 2169473104, 12336735596, 70541747278, 405346103294, 2339458504058, 13555747749306, 78829142631620, 459900605090178, 2691113894671910, 15790050163088284, 92880295108284405, 547606430914920548, 3235518614743607715, 19155045402210746754, 113612672440892699557, 675026807753260223442, 4017144566653371360259, 23942648048277714560464, 142904287562453574787133, 854083427273961145248998, 5110977987441561640565647, 30621460596419081591815716, 183669878936973722658834759, 1102844566018690547361329810, 6628742924870411885052453197, 39881042775292572648852602286, 240159552862251859090833597404, 1447479066673872966488199838052, 8731445303282745024960230557690, 52711450159656316818041721329580, 318458927346288786685045059182220, 1925383235997759732968889605755704, 11648843553628977307859618474648079, 70524127289259253695280150353403350, 427238217436940788301237789084227758, 2589815510687876993676671678072865270, 15708093131078763643287150029502097504, 95328808477200410120236353682045566530, 578844122607776296563176371628446461180, 3516633282187697546218151809184241793890, 21375300599071710202206588456099772210056, 129989784292987735834616211887519228874028, 790880050130644170794392746224137734897651, 4814036408928884413119165937586909802777516, 29315599414158275310500703995451993106324101, 178596311581270826481982171830552679897612670, 1088490003213529592768927589715339083824596587, 6636649820175367461558118235677586597996962536, 40479988480415200027481212003855776457934687799, 246998123762771865410013639119866692648681919818, 1507661149293023162046036765208597742519877750411, 9205892381797289853045735593273014807729443394912, 56230968313693837181953670895637620879017722839531, 343580421596612425690877953658622351800424510008122, 2100004760162728642278493679034392968992532160313455, 12839473065042507085540255274623435457093834649318816, 78524533680145736863563187851692917480151977662307941, 480386869027415568045431415646368415150666481498222798, 2939686298716805396924612297446359291955833112690100831, 17994160562673167969794083778704959671554049459611489276, 110174151808239582232763462991094456205514285545869217067, 674749026854734428299522103578649622389250466258112017502, 4133484097645765362425034639060118083819213580904695741815, 25327881711480590524415737056485102352294486985405322129684, 155234165196748782728653154398925663244214415911497308625942, 951653715342297660193285664223398103829391263555112542760394, 5835408058289826694663202368102221459480380983702875718075270, 35790000494778260146785280521925710351890910139616875482092152, 219557360496096735099004639658577436741810180159011532672024472, 1347186859933033730031117201265562583984691892851988311632043004, 8267972314013590020095599356280979181594607591600754684508677774, 50752729340621221020616287560757085762962310040302994311113876088, 311606818584737562644468654987514189034561866959255490732617469088, 1913549414630931170598820860851526008869331229038185161577739904764, 11753187794992504946666101287956448494534624659762627718860012504892, 72202640837411171380580367829055407426426020303621576210306606321280, 443639403019569954634468363597264035292213966190391732814010972219656, 2726371500764996914665966785490993409950822264304294744477325109196152, 16757767856646600052811235778108490256964909247258076470829399801647756, 103020083961081785101977176594916251518267222771925712898744334356554322, 633432950347198171486048873965725250667601184965889880121236538683804479, 3895389619328451896925479134718992450680877399215279036787706181179205798, 23959137461565087638392317841587890812710547478282827740007286618212012441, 147387295991897637080884476526922316738355322624972730751780258788071815338, 906809648222177399205663405804465369250953048733297304361069191855295076941, 5580049833889867077639349808622199555622763122628849947733425590400174858208

Specification 1
Strategy pack name: point_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24198/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[11,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[11,x]*F[7,x]
F[7,x] = F[12,x]+F[8,x]
F[8,x] = F[0,x]*F[9,x]
F[9,x] = 1/F[11,x]*F[10,x]
F[10,x] = F[2,x]
F[11,x] = x
F[12,x] = F[13,x]
F[13,x] = F[11,x]*F[14,x]*F[4,x]
F[14,x] = F[15,x]+F[78,x]
F[15,x] = F[16,x]*F[71,x]
F[16,x] = 1/F[0,x]/F[11,x]/F[23,x]*F[17,x]
F[17,x] = F[18,x]
F[18,x] = -F[59,x]+F[19,x]
F[19,x] = F[20,x,1]
F[20,x,k[0]] = F[21,x,k[0]]+F[30,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[2,x]*F[23,x]*F[26,x,k[0]]
F[23,x] = F[1,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[11,x]*F[23,x]
F[26,x,k[0]] = F[1,x]+F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]
F[28,x,k[0]] = F[26,x,k[0]]*F[29,x,k[0]]
F[29,x,k[0]] = k[0]*x
F[30,x,k[0]] = F[31,x,k[0]]
F[31,x,k[0]] = F[11,x]*F[32,x,k[0]]
F[32,x,k[0]] = 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[2,x]*F[23,x]*F[26,x,k[0]]*F[4,x]
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[23,x]*F[37,x,k[0]]
F[37,x,k[0]] = F[38,x]+F[49,x,k[0]]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[11,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[0,x]*F[16,x]
F[42,x] = F[43,x]*F[47,x]
F[43,x] = 1/F[24,x]*F[44,x]
F[44,x] = -F[16,x]+F[45,x]
F[45,x] = 1/F[0,x]/F[11,x]/F[23,x]*F[46,x]
F[46,x] = F[19,x]
F[47,x] = F[48,x]
F[48,x] = F[2,x]
F[49,x,k[0]] = F[50,x,k[0]]
F[50,x,k[0]] = F[0,x]*F[27,x,k[0]]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[11,x]*F[23,x]*F[53,x]
F[53,x] = 1/F[24,x]*F[54,x]
F[54,x] = -F[57,x]+F[55,x]
F[55,x] = 1/F[11,x]/F[23,x]^2*F[56,x]
F[56,x] = F[19,x]
F[57,x] = 1/F[11,x]/F[23,x]^2*F[58,x]
F[58,x] = F[18,x]
F[59,x] = F[60,x]
F[60,x] = F[0,x]*F[11,x]*F[23,x]*F[24,x]*F[61,x]
F[61,x] = 1/F[11,x]/F[71,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]+F[72,x]
F[64,x] = F[65,x]
F[65,x] = F[0,x]*F[11,x]*F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[0,x]+F[64,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[0,x]*F[11,x]*F[71,x]
F[71,x] = F[0,x]+F[69,x]
F[72,x] = F[73,x]
F[73,x] = F[11,x]*F[74,x]*F[76,x]
F[74,x] = -F[0,x]+F[75,x]
F[75,x] = 1/F[11,x]*F[48,x]
F[76,x] = 1/F[11,x]/F[75,x]*F[77,x]
F[77,x] = F[63,x]
F[78,x] = F[43,x]*F[79,x]
F[79,x] = -F[71,x]+F[80,x]
F[80,x] = 1/F[11,x]/F[4,x]*F[81,x]
F[81,x] = F[82,x]
F[83,x,k[0]] = F[101,x,k[0]]+F[82,x]
F[84,x,k[0]] = F[23,x]*F[83,x,k[0]]
F[84,x,k[0]] = F[85,x,k[0]]
F[86,x,k[0]] = F[85,x,k[0]]+F[97,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0]]+F[89,x,k[0]]
F[87,x,k[0]] = F[88,x,k[0]]
F[88,x,k[0]] = F[23,x]^2*F[2,x]*F[26,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]
F[90,x,k[0]] = F[23,x]^2*F[11,x]*F[91,x,k[0]]
F[92,x,k[0]] = F[11,x]*F[91,x,k[0]]
F[92,x,k[0]] = F[93,x,k[0]]
F[93,x,k[0]] = F[94,x]+F[95,x,k[0]]
F[94,x] = -F[4,x]+F[57,x]
F[95,x,k[0]] = F[27,x,k[0]]*F[96,x]
F[96,x] = -F[4,x]+F[53,x]
F[97,x,k[0]] = F[98,x,k[0]]
F[98,x,k[0]] = F[11,x]*F[23,x]*F[9,x]*F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]+F[16,x]
F[100,x,k[0]] = F[27,x,k[0]]*F[43,x]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[2,x]*F[27,x,k[0]]*F[71,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{11}\! \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 \right)
F_{6}\! \left(x \right) = F_{11}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{12}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{0}\! \left(x \right) F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = \frac{F_{10}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{10}\! \left(x \right) = F_{2}\! \left(x \right)
F_{11}\! \left(x \right) = x
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{11}\! \left(x \right) F_{14}\! \left(x \right) F_{4}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{78}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{71}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{23}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x , 1\right)
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{30}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{23}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{23}\! \left(x \right) = F_{1}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{11}\! \left(x \right) F_{23}\! \left(x \right)
F_{26}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)
F_{28}\! \left(x , y\right) = F_{26}\! \left(x , y\right) F_{29}\! \left(x , y\right)
F_{29}\! \left(x , y\right) = y x
F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{32}\! \left(x , y\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_{2}\! \left(x \right) F_{23}\! \left(x \right) F_{26}\! \left(x , y\right) F_{4}\! \left(x \right)
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{23}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x \right)+F_{49}\! \left(x , y\right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right) F_{47}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{44}\! \left(x \right) = -F_{16}\! \left(x \right)+F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{23}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{19}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{27}\! \left(x , y\right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{11}\! \left(x \right) F_{23}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{24}\! \left(x \right)}
F_{54}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = \frac{F_{56}\! \left(x \right)}{F_{11}\! \left(x \right) F_{23} \left(x \right)^{2}}
F_{56}\! \left(x \right) = F_{19}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{11}\! \left(x \right) F_{23} \left(x \right)^{2}}
F_{58}\! \left(x \right) = F_{18}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{23}\! \left(x \right) F_{24}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{11}\! \left(x \right) F_{71}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{72}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{0}\! \left(x \right)+F_{64}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{0}\! \left(x \right) F_{11}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{0}\! \left(x \right)+F_{69}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{11}\! \left(x \right) F_{74}\! \left(x \right) F_{76}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{11}\! \left(x \right)}
F_{76}\! \left(x \right) = \frac{F_{77}\! \left(x \right)}{F_{11}\! \left(x \right) F_{75}\! \left(x \right)}
F_{77}\! \left(x \right) = F_{63}\! \left(x \right)
F_{78}\! \left(x \right) = F_{43}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{11}\! \left(x \right) F_{4}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{83}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{82}\! \left(x \right)
F_{84}\! \left(x , y\right) = F_{23}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{85}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{85}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)+F_{89}\! \left(x , y\right)
F_{87}\! \left(x , y\right) = F_{88}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{23} \left(x \right)^{2} F_{2}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{23} \left(x \right)^{2} F_{11}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{91}\! \left(x , y\right)
F_{92}\! \left(x , y\right) = F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{94}\! \left(x \right)+F_{95}\! \left(x , y\right)
F_{94}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{57}\! \left(x \right)
F_{95}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{53}\! \left(x \right)
F_{97}\! \left(x , y\right) = F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{11}\! \left(x \right) F_{23}\! \left(x \right) F_{9}\! \left(x \right) F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{16}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{27}\! \left(x , y\right) F_{43}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{2}\! \left(x \right) F_{27}\! \left(x , y\right) F_{71}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_11(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_11(x)*F_7(x))
Eq(F_7(x), F_12(x) + F_8(x))
Eq(F_8(x), F_0(x)*F_9(x))
Eq(F_9(x), F_10(x)/F_11(x))
Eq(F_10(x), F_2(x))
Eq(F_11(x), x)
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_11(x)*F_14(x)*F_4(x))
Eq(F_14(x), F_15(x) + F_78(x))
Eq(F_15(x), F_16(x)*F_71(x))
Eq(F_16(x), F_17(x)/(F_0(x)*F_11(x)*F_23(x)))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_19(x) - F_59(x))
Eq(F_19(x), F_20(x, 1))
Eq(F_20(x, k_0), F_21(x, k_0) + F_30(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_2(x)*F_23(x)*F_26(x, k_0))
Eq(F_23(x), F_1(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_11(x)*F_23(x))
Eq(F_26(x, k_0), F_1(x) + F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0))
Eq(F_28(x, k_0), F_26(x, k_0)*F_29(x, k_0))
Eq(F_29(x, k_0), k_0*x)
Eq(F_30(x, k_0), F_31(x, k_0))
Eq(F_31(x, k_0), F_11(x)*F_32(x, k_0))
Eq(F_32(x, k_0), 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_2(x)*F_23(x)*F_26(x, k_0)*F_4(x))
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_23(x)*F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x) + F_49(x, k_0))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_11(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_0(x)*F_16(x))
Eq(F_42(x), F_43(x)*F_47(x))
Eq(F_43(x), F_44(x)/F_24(x))
Eq(F_44(x), -F_16(x) + F_45(x))
Eq(F_45(x), F_46(x)/(F_0(x)*F_11(x)*F_23(x)))
Eq(F_46(x), F_19(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_50(x, k_0), F_0(x)*F_27(x, k_0)*F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_11(x)*F_23(x)*F_53(x))
Eq(F_53(x), F_54(x)/F_24(x))
Eq(F_54(x), F_55(x) - F_57(x))
Eq(F_55(x), F_56(x)/(F_11(x)*F_23(x)**2))
Eq(F_56(x), F_19(x))
Eq(F_57(x), F_58(x)/(F_11(x)*F_23(x)**2))
Eq(F_58(x), F_18(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_0(x)*F_11(x)*F_23(x)*F_24(x)*F_61(x))
Eq(F_61(x), F_62(x)/(F_11(x)*F_71(x)))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) + F_72(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_0(x)*F_11(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_0(x) + F_64(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_0(x)*F_11(x)*F_71(x))
Eq(F_71(x), F_0(x) + F_69(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_11(x)*F_74(x)*F_76(x))
Eq(F_74(x), -F_0(x) + F_75(x))
Eq(F_75(x), F_48(x)/F_11(x))
Eq(F_76(x), F_77(x)/(F_11(x)*F_75(x)))
Eq(F_77(x), F_63(x))
Eq(F_78(x), F_43(x)*F_79(x))
Eq(F_79(x), -F_71(x) + F_80(x))
Eq(F_80(x), F_81(x)/(F_11(x)*F_4(x)))
Eq(F_81(x), F_82(x))
Eq(F_83(x, k_0), F_101(x, k_0) + F_82(x))
Eq(F_84(x, k_0), F_23(x)*F_83(x, k_0))
Eq(F_84(x, k_0), F_85(x, k_0))
Eq(F_86(x, k_0), F_85(x, k_0) + F_97(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0) + F_89(x, k_0))
Eq(F_87(x, k_0), F_88(x, k_0))
Eq(F_88(x, k_0), F_2(x)*F_23(x)**2*F_26(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0))
Eq(F_90(x, k_0), F_11(x)*F_23(x)**2*F_91(x, k_0))
Eq(F_92(x, k_0), F_11(x)*F_91(x, k_0))
Eq(F_92(x, k_0), F_93(x, k_0))
Eq(F_93(x, k_0), F_94(x) + F_95(x, k_0))
Eq(F_94(x), -F_4(x) + F_57(x))
Eq(F_95(x, k_0), F_27(x, k_0)*F_96(x))
Eq(F_96(x), -F_4(x) + F_53(x))
Eq(F_97(x, k_0), F_98(x, k_0))
Eq(F_98(x, k_0), F_11(x)*F_23(x)*F_9(x)*F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0) + F_16(x))
Eq(F_100(x, k_0), F_27(x, k_0)*F_43(x))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_2(x)*F_27(x, k_0)*F_71(x))
Pack JSON:
{"expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "extra_basis": [], "ignore_parent": false, "maxreqlen": 1, "one_cell_only": false, "strategy_class": "CellInsertionFactory"}, {"class_module": "tilings.strategies.requirement_placement", "dirs": [0, 1, 2, 3], "ignore_parent": false, "partial": false, "point_only": false, "strategy_class": "PatternPlacementFactory"}]], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "strategy_class": "RowColumnSeparationStrategy", "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "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", "ignore_parent": true, "interleaving": null, "strategy_class": "FactorFactory", "tracked": false, "unions": false, "workable": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}], "iterative": false, "name": "point_placements_tracked_fusion", "symmetries": [], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "InsertionEncodingVerificationStrategy"}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "OneByOneVerificationStrategy", "symmetry": false}, {"basis": [], "class_module": "tilings.strategies.verification", "ignore_parent": false, "strategy_class": "LocallyFactorableVerificationStrategy", "symmetry": false}]}
Specification JSON:
{"root": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "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": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "idx": 0, "original_rule": {"children": [{"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 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], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": []}, {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]]}], "class_module": "comb_spec_searcher.strategies.rule", "comb_class": {"assumptions": [], "class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 1, 2, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 4, 2, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 2, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 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], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 1, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]]}, "rule_class": "Rule", "strategy": {"class_module": "tilings.strategies.factor", "ignore_parent": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]], "strategy_class": 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