01243_01342_01432_02341_02431_03421_10243_10342_10432
Counting sequence:
1, 1, 2, 6, 24, 111, 548, 2803, 14682, 78291, 423494, 2318072, 12816234, 71471230, 401554970, 2270900828, 12916862448, 73848653666, 424149822664, 2446170150230, 14160308100046, 82248658070171, 479209938089442, 2799952586983793, 16402272014776670, 96315891688662385, 566832126979286024, 3342750137521873825, 19750766973668782900, 116906466954847417519, 693133725926657947952, 4115983641770593435092, 24477482937858183067818, 145766752848243682806685, 869188932347007206756480, 5189221075972420051429715, 31016538208618329588864868, 185592682285987864550293842, 1111680623041118557254582816, 6665428079943360871919813215, 40002186384553163143840831478, 240285440127057445181804169852, 1444577954600666470013139425676, 8691751898860742246920140153475, 52337216931692563675682927637716, 315381410999188240760376220670300, 1901822024526591647083724497210174, 11476223336965116154909581547075338, 69296495893717572113508581590262030, 418692598795014432288558470675342718, 2531280432967252880537526254167226096, 15312146513774340025695484631270883964, 92677257128178277664757224264640837754, 561232136755266864708127760326898409847, 3400444032584993267353836854947875260326, 20613152190871137753516016216432298399335, 125014742970586618139320917314954556868278, 758540655452029606538572900762263549800343, 4604584372055089097903788871090683668136184, 27963364941788875084435603945936586824382315, 169890718293997397593793814985911567490830524, 1032583561446472710979239932967827953229066743, 6278421697723733341398196619192697650688680496, 38189162332875855876199210276800276687715147762, 232374816322128185997264892286824046343748006316, 1414465631072104760243004500980657129950306276317, 8612822699252667271019297250339752802848219948758, 52461891404908542232384670133722918558346607460426, 319656445877978089859423196575332557144328880654046, 1948318763105315420967035225343709144783892032527964, 11878721373289460270340443807466232594060567188489536, 72445062164381039046837091453654538794734832036820196, 441950595441153567138274962487078648408435780005335058, 2696876583023656715124551770155484209144488059239999320, 16461429602087608297232953876944981573226769596426581586, 100505538996526351663232779570975321713140988405198459607, 613797878789872951528460908314744372335991198001548668428, 3749477850478961244974054667350484307648770620245525574399, 22909911973752221675907435402452421570098544373577799234120, 140016935882120966183134307592976134670091965210032679398174, 855932745083258270650729543331541927129768412321735980168650, 5233571170263402863318543366594915794772782977777110717901230, 32007638813138478747882651669965621641261085375124764987387318, 195796005163094224632654283354219423910921626215974114503963685, 1197971426333014855730414907229351868638779354735894184518527434, 7331272682525786766486110203321171696340434108136033067464429744, 44874588526943669209210972130431861602125167843119382414277321206, 274731059938174677584527969624704870068077210546603304764492765072, 1682283835421905111014676924121679284381457116526472367372160464384, 10303223653780828192267503646626487036342456100531911098091596976023, 63114261828230697615578796003973629122299737158489681091669296559508, 386687960887524972359972949702218713619859533546098302054465661764668, 2369577160110673699893234872791310116999384640895127637311637521865642, 14523004455255911236559141744401327769270799517219807692916030397955445, 89025803243168599007768598272944370567185341686227290656639293948362868, 545817680341247443930794604729905216756582471177327666076860685427045806, 3346956500463882751458128283408931599664754903816747011063412248658751490, 20526828524016828081287136989669779302203393492549608306306117380711217354, 125910384598487936363448789224255939756412683315447561275132371815871652376, 772445399453806704796359155496215813022824901365424809191528970428176974244, 4739573372578191194885793316627162091585496060496109724412976533840349712736
Specification 1
Strategy pack name: col_placements_tracked_fusion
Tree: http://www.permpal.com/tree/24462/
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[1,x]+F[5,x]+F[81,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[1,x]+F[7,x]+F[76,x]+F[79,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[3,x]*F[9,x,k[0]]
F[9,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[12,x,k[0]]+F[66,x,k[0]]+F[72,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[3,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[9,x,k[0]]*k[0]-F[9,x,1])
F[12,x,k[0]] = F[13,x,k[0]]*F[3,x]
F[13,x,k[0]] = 1/(-1+k[0])*(F[14,x,k[0]]*k[0]-F[14,x,1])
F[14,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[15,x,k[0]] = F[1,x]+F[16,x,k[0]]+F[17,x,k[0]]+F[8,x,k[0]]
F[16,x,k[0]] = F[14,x,k[0]]*F[3,x]
F[17,x,k[0]] = F[18,x,k[0]]*F[19,x,k[0]]
F[18,x,k[0]] = k[0]*x
F[19,x,k[0]] = F[20,x,1,k[0]]
F[20,x,k[0],k[1]] = (F[21,x,k[0]*k[1]]*k[0]-F[21,x,k[1]])/(-1+k[0])
F[21,x,k[0]] = 1/(-1+k[0])*(F[22,x,k[0]]*k[0]-F[22,x,1])
F[22,x,k[0]] = F[1,x]+F[23,x,k[0]]+F[71,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]*F[3,x]
F[24,x,k[0]] = F[1,x]+F[25,x,k[0]]+F[63,x,k[0]]+F[70,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[3,x]
F[26,x,k[0]] = F[1,x]+F[27,x,k[0]]+F[51,x,k[0]]+F[66,x,k[0]]+F[69,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]*F[3,x]
F[28,x,k[0]] = F[29,x,1,k[0]]
F[29,x,k[0],k[1]] = 1/(-1+k[0])*(F[30,x,k[0],k[1]]*k[0]-F[30,x,1,k[1]])
F[30,x,k[0],k[1]] = F[1,x]+F[31,x,k[0],k[1]]+F[33,x,k[0],k[1]]+F[42,x,k[0],k[1]]+F[65,x,k[1],k[0]]
F[31,x,k[0],k[1]] = F[3,x]*F[32,x,k[0],k[1]]
F[32,x,k[0],k[1]] = 1/(-1+k[0])*(F[30,x,k[0],k[1]]*k[0]-F[30,x,1,k[1]])
F[33,x,k[0],k[1]] = F[3,x]*F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = 1/(-1+k[0])*(F[35,x,k[0],k[1]]*k[0]-F[35,x,1,k[1]])
F[35,x,k[0],k[1]] = F[1,x]+F[31,x,k[0],k[1]]+F[33,x,k[0],k[1]]+F[36,x,k[0],k[1]]+F[41,x,k[1],k[0]]
F[36,x,k[0],k[1]] = F[18,x,k[0]]*F[37,x,k[0],k[1]]
F[37,x,k[0],k[1]] = F[38,x,1,k[0],k[1]]
F[38,x,k[0],k[1],k[2]] = (F[39,x,k[0]*k[1],k[2]]*k[0]-F[39,x,k[1],k[2]])/(-1+k[0])
F[39,x,k[0],k[1]] = 1/(-1+k[0])*(F[40,x,k[0],k[1]]*k[0]-F[40,x,1,k[1]])
F[40,x,k[0],k[1]] = (F[22,x,k[0]]*k[0]-F[22,x,k[1]]*k[1])/(-k[1]+k[0])
F[41,x,k[0],k[1]] = F[18,x,k[0]]*F[39,x,k[1],k[0]]
F[42,x,k[0],k[1]] = F[18,x,k[0]]*F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],1]*k[0]-F[44,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[44,x,k[0],k[1]] = F[45,x,k[0],k[0]*k[1]]
F[45,x,k[0],k[1]] = F[1,x]+F[46,x,k[0],k[1]]+F[48,x,k[0],k[1]]+F[60,x,k[0],k[1]]+F[64,x,k[1]]
F[46,x,k[0],k[1]] = F[3,x]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = (F[26,x,k[0]]*k[0]-F[26,x,k[1]]*k[1])/(-k[1]+k[0])
F[48,x,k[0],k[1]] = F[3,x]*F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = (F[50,x,k[0]]*k[0]-F[50,x,k[1]]*k[1])/(-k[1]+k[0])
F[50,x,k[0]] = F[1,x]+F[27,x,k[0]]+F[51,x,k[0]]+F[54,x,k[0]]+F[58,x,k[0]]
F[51,x,k[0]] = F[3,x]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,1,k[0]]
F[53,x,k[0],k[1]] = 1/(-1+k[0])*(F[35,x,k[0],k[1]]*k[0]-F[35,x,1,k[1]])
F[54,x,k[0]] = F[3,x]*F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,1,k[0]]
F[56,x,k[0],k[1]] = (F[57,x,k[0],k[1]]*k[0]-F[57,x,1,k[1]])/(-1+k[0])
F[57,x,k[0],k[1]] = 1/(-1+k[0])*(F[40,x,k[0],k[1]]*k[0]-F[40,x,1,k[1]])
F[58,x,k[0]] = F[18,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[57,x,1,k[0]]
F[60,x,k[0],k[1]] = F[18,x,k[0]]*F[61,x,k[0],k[1]]
F[61,x,k[0],k[1]] = (F[62,x,k[0]]*k[0]-F[62,x,k[1]]*k[1])/(-k[1]+k[0])
F[62,x,k[0]] = F[1,x]+F[25,x,k[0]]+F[63,x,k[0]]+F[64,x,k[0]]
F[63,x,k[0]] = F[3,x]*F[50,x,k[0]]
F[64,x,k[0]] = F[18,x,k[0]]*F[21,x,k[0]]
F[65,x,k[0],k[1]] = F[18,x,k[0]]*F[45,x,k[1],k[0]]
F[66,x,k[0]] = F[3,x]*F[67,x,k[0]]
F[67,x,k[0]] = 1/(-1+k[0])*(F[68,x,k[0]]*k[0]-F[68,x,1])
F[68,x,k[0]] = F[45,x,1,k[0]]
F[69,x,k[0]] = F[18,x,k[0]]*F[68,x,k[0]]
F[70,x,k[0]] = F[18,x,k[0]]*F[62,x,k[0]]
F[71,x,k[0]] = F[18,x,k[0]]*F[22,x,k[0]]
F[72,x,k[0]] = F[18,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,1,k[0]]
F[74,x,k[0],k[1]] = (-F[75,x,1,k[1]]*k[1]+F[75,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[75,x,k[0],k[1]] = F[45,x,k[0]*k[1],k[1]]
F[76,x] = F[3,x]*F[77,x]
F[77,x] = F[78,x,1]
F[78,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[79,x] = F[3,x]*F[80,x]
F[80,x] = F[68,x,1]
F[81,x] = F[3,x]*F[82,x]
F[82,x] = F[15,x,1]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right) F_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{81}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)+F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y_{0}\right)+F_{12}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)+F_{72}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{11}\! \left(x , y_{0}\right) = -\frac{-F_{9}\! \left(x , y_{0}\right) y_{0}+F_{9}\! \left(x , 1\right)}{-1+y_{0}}
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = -\frac{-F_{14}\! \left(x , y_{0}\right) y_{0}+F_{14}\! \left(x , 1\right)}{-1+y_{0}}
F_{14}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{15}\! \left(x , y_{0}\right)+F_{15}\! \left(x , 1\right)}{-1+y_{0}}
F_{15}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{16}\! \left(x , y_{0}\right)+F_{17}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{19}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = y_{0} x
F_{19}\! \left(x , y_{0}\right) = F_{20}\! \left(x , 1, y_{0}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{21}\! \left(x , y_{0} y_{1}\right) y_{0}+F_{21}\! \left(x , y_{1}\right)}{-1+y_{0}}
F_{21}\! \left(x , y_{0}\right) = -\frac{-F_{22}\! \left(x , y_{0}\right) y_{0}+F_{22}\! \left(x , 1\right)}{-1+y_{0}}
F_{22}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{23}\! \left(x , y_{0}\right)+F_{71}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{24}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)+F_{70}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{26}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)+F_{69}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{28}\! \left(x , y_{0}\right) = F_{29}\! \left(x , 1, y_{0}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{30}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{30}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}\right)+F_{33}\! \left(x , y_{0}, y_{1}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{65}\! \left(x , y_{1}, y_{0}\right)
F_{31}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{32}\! \left(x , y_{0}, y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{30}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{30}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{33}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{35}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{35}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}\right)+F_{33}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}, y_{1}\right)+F_{41}\! \left(x , y_{1}, y_{0}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{37}\! \left(x , y_{0}, y_{1}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = F_{38}\! \left(x , 1, y_{0}, y_{1}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{39}\! \left(x , y_{0} y_{1}, y_{2}\right) y_{0}+F_{39}\! \left(x , y_{1}, y_{2}\right)}{-1+y_{0}}
F_{39}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{40}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{40}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{40}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{22}\! \left(x , y_{0}\right) y_{0}-F_{22}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{1}, y_{0}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{44}\! \left(x , y_{0}, 1\right) y_{0}-F_{44}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{46}\! \left(x , y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)+F_{64}\! \left(x , y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{26}\! \left(x , y_{0}\right) y_{0}-F_{26}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{50}\! \left(x , y_{0}\right) y_{0}-F_{50}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{50}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)+F_{54}\! \left(x , y_{0}\right)+F_{58}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{53}\! \left(x , 1, y_{0}\right)
F_{53}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{35}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{35}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{54}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{55}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , 1, y_{0}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{57}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{57}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{57}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{40}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{40}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{58}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{59}\! \left(x , y_{0}\right)
F_{59}\! \left(x , y_{0}\right) = F_{57}\! \left(x , 1, y_{0}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{62}\! \left(x , y_{0}\right) y_{0}-F_{62}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{62}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)+F_{64}\! \left(x , y_{0}\right)
F_{63}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{50}\! \left(x , y_{0}\right)
F_{64}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{21}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{1}, y_{0}\right)
F_{66}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{67}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}\right) = -\frac{-F_{68}\! \left(x , y_{0}\right) y_{0}+F_{68}\! \left(x , 1\right)}{-1+y_{0}}
F_{68}\! \left(x , y_{0}\right) = F_{45}\! \left(x , 1, y_{0}\right)
F_{69}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{68}\! \left(x , y_{0}\right)
F_{70}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{62}\! \left(x , y_{0}\right)
F_{71}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{22}\! \left(x , y_{0}\right)
F_{72}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}\right)
F_{73}\! \left(x , y_{0}\right) = F_{74}\! \left(x , 1, y_{0}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{75}\! \left(x , 1, y_{1}\right) y_{1}-F_{75}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{76}\! \left(x \right) = F_{3}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x , 1\right)
F_{78}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{15}\! \left(x , y_{0}\right)+F_{15}\! \left(x , 1\right)}{-1+y_{0}}
F_{79}\! \left(x \right) = F_{3}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{81}\! \left(x \right) = F_{3}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x , 1\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_5(x) + F_81(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_1(x) + F_7(x) + F_76(x) + F_79(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_3(x)*F_9(x, k_0))
Eq(F_9(x, k_0), F_1(x) + F_10(x, k_0) + F_12(x, k_0) + F_66(x, k_0) + F_72(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_3(x))
Eq(F_11(x, k_0), (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_12(x, k_0), F_13(x, k_0)*F_3(x))
Eq(F_13(x, k_0), (k_0*F_14(x, k_0) - F_14(x, 1))/(k_0 - 1))
Eq(F_14(x, k_0), (k_0*F_15(x, k_0) - F_15(x, 1))/(k_0 - 1))
Eq(F_15(x, k_0), F_1(x) + F_16(x, k_0) + F_17(x, k_0) + F_8(x, k_0))
Eq(F_16(x, k_0), F_14(x, k_0)*F_3(x))
Eq(F_17(x, k_0), F_18(x, k_0)*F_19(x, k_0))
Eq(F_18(x, k_0), k_0*x)
Eq(F_19(x, k_0), F_20(x, 1, k_0))
Eq(F_20(x, k_0, k_1), (-k_0*k_1*F_21(x, k_0*k_1) + k_1*F_21(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_21(x, k_0), (k_0*F_22(x, k_0) - F_22(x, 1))/(k_0 - 1))
Eq(F_22(x, k_0), F_1(x) + F_23(x, k_0) + F_71(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0)*F_3(x))
Eq(F_24(x, k_0), F_1(x) + F_25(x, k_0) + F_63(x, k_0) + F_70(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_3(x))
Eq(F_26(x, k_0), F_1(x) + F_27(x, k_0) + F_51(x, k_0) + F_66(x, k_0) + F_69(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0)*F_3(x))
Eq(F_28(x, k_0), F_29(x, 1, k_0))
Eq(F_29(x, k_0, k_1), (-k_0*F_30(x, k_0, k_1) + F_30(x, 1, k_1))/(1 - k_0))
Eq(F_30(x, k_0, k_1), F_1(x) + F_31(x, k_0, k_1) + F_33(x, k_0, k_1) + F_42(x, k_0, k_1) + F_65(x, k_1, k_0))
Eq(F_31(x, k_0, k_1), F_3(x)*F_32(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), (k_0*F_30(x, k_0, k_1) - F_30(x, 1, k_1))/(k_0 - 1))
Eq(F_33(x, k_0, k_1), F_3(x)*F_34(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), (k_0*F_35(x, k_0, k_1) - F_35(x, 1, k_1))/(k_0 - 1))
Eq(F_35(x, k_0, k_1), F_1(x) + F_31(x, k_0, k_1) + F_33(x, k_0, k_1) + F_36(x, k_0, k_1) + F_41(x, k_1, k_0))
Eq(F_36(x, k_0, k_1), F_18(x, k_0)*F_37(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), F_38(x, 1, k_0, k_1))
Eq(F_38(x, k_0, k_1, k_2), (-k_0*k_1*F_39(x, k_0*k_1, k_2) + k_1*F_39(x, k_1, k_2))/(-k_0*k_1 + k_1))
Eq(F_39(x, k_0, k_1), (k_0*F_40(x, k_0, k_1) - F_40(x, 1, k_1))/(k_0 - 1))
Eq(F_40(x, k_0, k_1), (-k_0*F_22(x, k_0) + k_1*F_22(x, k_1))/(-k_0 + k_1))
Eq(F_41(x, k_0, k_1), F_18(x, k_0)*F_39(x, k_1, k_0))
Eq(F_42(x, k_0, k_1), F_18(x, k_0)*F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), (-k_0*F_44(x, k_0, 1) + k_1*F_44(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_44(x, k_0, k_1), F_45(x, k_0, k_0*k_1))
Eq(F_45(x, k_0, k_1), F_1(x) + F_46(x, k_0, k_1) + F_48(x, k_0, k_1) + F_60(x, k_0, k_1) + F_64(x, k_1))
Eq(F_46(x, k_0, k_1), F_3(x)*F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), (-k_0*F_26(x, k_0) + k_1*F_26(x, k_1))/(-k_0 + k_1))
Eq(F_48(x, k_0, k_1), F_3(x)*F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), (-k_0*F_50(x, k_0) + k_1*F_50(x, k_1))/(-k_0 + k_1))
Eq(F_50(x, k_0), F_1(x) + F_27(x, k_0) + F_51(x, k_0) + F_54(x, k_0) + F_58(x, k_0))
Eq(F_51(x, k_0), F_3(x)*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, 1, k_0))
Eq(F_53(x, k_0, k_1), (-k_0*F_35(x, k_0, k_1) + F_35(x, 1, k_1))/(1 - k_0))
Eq(F_54(x, k_0), F_3(x)*F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, 1, k_0))
Eq(F_56(x, k_0, k_1), (-k_0*F_57(x, k_0, k_1) + F_57(x, 1, k_1))/(1 - k_0))
Eq(F_57(x, k_0, k_1), (-k_0*F_40(x, k_0, k_1) + F_40(x, 1, k_1))/(1 - k_0))
Eq(F_58(x, k_0), F_18(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_57(x, 1, k_0))
Eq(F_60(x, k_0, k_1), F_18(x, k_0)*F_61(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), (-k_0*F_62(x, k_0) + k_1*F_62(x, k_1))/(-k_0 + k_1))
Eq(F_62(x, k_0), F_1(x) + F_25(x, k_0) + F_63(x, k_0) + F_64(x, k_0))
Eq(F_63(x, k_0), F_3(x)*F_50(x, k_0))
Eq(F_64(x, k_0), F_18(x, k_0)*F_21(x, k_0))
Eq(F_65(x, k_0, k_1), F_18(x, k_0)*F_45(x, k_1, k_0))
Eq(F_66(x, k_0), F_3(x)*F_67(x, k_0))
Eq(F_67(x, k_0), (k_0*F_68(x, k_0) - F_68(x, 1))/(k_0 - 1))
Eq(F_68(x, k_0), F_45(x, 1, k_0))
Eq(F_69(x, k_0), F_18(x, k_0)*F_68(x, k_0))
Eq(F_70(x, k_0), F_18(x, k_0)*F_62(x, k_0))
Eq(F_71(x, k_0), F_18(x, k_0)*F_22(x, k_0))
Eq(F_72(x, k_0), F_18(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, 1, k_0))
Eq(F_74(x, k_0, k_1), (-k_0*F_75(x, k_0/k_1, k_1) + k_1*F_75(x, 1, k_1))/(-k_0 + k_1))
Eq(F_75(x, k_0, k_1), F_45(x, k_0*k_1, k_1))
Eq(F_76(x), F_3(x)*F_77(x))
Eq(F_77(x), F_78(x, 1))
Eq(F_78(x, k_0), (-k_0*F_15(x, k_0) + F_15(x, 1))/(1 - k_0))
Eq(F_79(x), F_3(x)*F_80(x))
Eq(F_80(x), F_68(x, 1))
Eq(F_81(x), F_3(x)*F_82(x))
Eq(F_82(x), F_15(x, 1))
Pack JSON:
{"name": "col_placements_tracked_fusion", "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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": 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}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 2, 3, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [1, 3, 2, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], 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"pos": [[0, 0], [0, 1], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 2], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 3], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 2], [0, 3], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 3], [0, 3], [0, 3], [0, 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": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 1], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 2], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 3], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 3], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 3], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 3], [0, 1], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 3], [0, 2], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 2]]}]}, {"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"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_placements_req_corrob
Tree: http://www.permpal.com/tree/24579/
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[18,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[18,x]*F[7,x]
F[7,x] = F[341,x]+F[8,x]
F[8,x] = F[21,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[18,x]
F[12,x] = F[13,x]+F[20,x]
F[13,x] = F[14,x]*F[15,x]
F[14,x] = F[15,x]+F[19,x]
F[15,x] = F[1,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = x
F[19,x] = F[11,x]
F[20,x] = F[21,x]+F[338,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[15,x]*F[2,x]
F[23,x] = F[24,x]
F[24,x] = F[18,x]*F[25,x]
F[25,x] = F[26,x]+F[27,x]
F[26,x] = F[12,x]*F[2,x]
F[27,x] = F[28,x]
F[28,x] = F[18,x]*F[29,x]
F[29,x] = F[30,x]+F[337,x]
F[30,x] = F[184,x]*F[31,x]
F[31,x] = F[32,x]+F[36,x]
F[32,x] = F[15,x]*F[33,x]
F[33,x] = F[14,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[18,x]*F[31,x]
F[36,x] = F[20,x]+F[37,x]
F[37,x] = F[38,x]
F[38,x] = F[15,x]*F[39,x]
F[39,x] = F[40,x]
F[40,x] = F[18,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[276,x]*F[43,x]*F[65,x]
F[43,x] = F[31,x]+F[44,x]
F[44,x] = F[45,x]
F[45,x] = F[15,x]*F[18,x]*F[46,x]
F[46,x] = F[43,x]+F[47,x]
F[47,x] = 1/F[18,x]*F[48,x]
F[48,x] = F[49,x]
F[49,x] = -F[51,x]+F[50,x]
F[50,x] = F[21,x]+F[39,x]
F[51,x] = F[52,x]+F[55,x]
F[52,x] = -F[0,x]+F[53,x]
F[53,x] = 1/F[18,x]*F[54,x]
F[54,x] = F[2,x]
F[55,x] = F[56,x]
F[56,x] = F[18,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[336,x]+F[59,x]
F[59,x] = F[55,x]+F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[18,x]*F[62,x]
F[62,x] = F[63,x]+F[72,x]
F[63,x] = F[64,x]*F[65,x]
F[64,x] = F[65,x]+F[68,x]
F[65,x] = F[1,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[18,x]*F[65,x]
F[68,x] = F[2,x]+F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[18,x]*F[71,x]
F[71,x] = F[51,x]+F[68,x]
F[72,x] = F[51,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[18,x]*F[75,x]
F[75,x] = F[72,x]+F[76,x]
F[76,x] = F[332,x]+F[77,x]
F[77,x] = F[78,x]+F[94,x]
F[78,x] = F[79,x]
F[79,x] = F[18,x]*F[80,x]
F[80,x] = -F[87,x]+F[81,x]
F[81,x] = 1/F[18,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[86,x]+F[84,x]
F[84,x] = 1/F[18,x]*F[85,x]
F[85,x] = F[52,x]
F[86,x] = F[53,x]+F[59,x]
F[87,x] = F[88,x]
F[88,x] = F[18,x]*F[65,x]*F[89,x]
F[89,x] = F[62,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[18,x]*F[92,x]
F[92,x] = F[89,x]+F[93,x]
F[93,x] = F[90,x]
F[94,x] = F[95,x]
F[95,x] = F[18,x]*F[96,x]
F[96,x] = -F[330,x]+F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[18,x]*F[99,x]
F[99,x] = 1/F[18,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[18,x]
F[102,x] = F[103,x]+F[329,x]
F[103,x] = F[104,x]+F[326,x]
F[104,x] = F[105,x]+F[107,x]
F[105,x] = F[106,x]+F[96,x]
F[106,x] = F[62,x]+F[76,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[18,x]
F[109,x] = 1/F[18,x]/F[211,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = 1/F[18,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[18,x]
F[114,x] = F[115,x]
F[115,x] = -F[313,x]+F[116,x]
F[116,x] = 1/F[18,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = -F[119,x]+F[80,x]
F[119,x] = F[120,x]+F[307,x]
F[120,x] = F[121,x]+F[306,x]
F[121,x] = F[0,x]*F[122,x]
F[122,x] = F[0,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[126,x]+F[134,x]
F[126,x] = F[122,x]+F[127,x]
F[127,x] = -F[134,x]+F[128,x]
F[128,x] = 1/F[18,x]*F[129,x]
F[129,x] = F[130,x]
F[130,x] = -F[2,x]+F[131,x]
F[131,x] = -F[0,x]+F[132,x]
F[132,x] = 1/F[18,x]*F[133,x]
F[133,x] = F[2,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]*F[18,x]
F[136,x] = -F[143,x]+F[137,x]
F[137,x] = 1/F[18,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = -F[142,x]+F[140,x]
F[140,x] = 1/F[18,x]*F[141,x]
F[141,x] = F[130,x]
F[142,x] = F[132,x]*F[2,x]
F[143,x] = F[144,x]+F[305,x]
F[144,x] = F[145,x]*F[2,x]
F[145,x] = 1/F[18,x]*F[146,x]
F[146,x] = F[147,x]
F[147,x] = -F[148,x]+F[140,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[18,x]
F[150,x] = F[151,x]+F[292,x]
F[151,x] = F[152,x]
F[152,x] = F[0,x]*F[153,x]
F[153,x] = F[154,x]+F[252,x]
F[154,x] = 1/F[0,x]/F[18,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = F[157,x]+F[2,x]
F[157,x] = F[158,x]
F[158,x] = F[159,x]*F[18,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[2,x]*F[53,x]
F[161,x] = F[0,x]*F[162,x]
F[162,x] = -F[0,x]+F[163,x]
F[163,x] = 1/F[18,x]*F[164,x]
F[164,x] = F[165,x]
F[165,x] = -F[235,x]+F[166,x]
F[166,x] = -F[179,x]+F[167,x]
F[167,x] = 1/F[18,x]*F[168,x]
F[168,x] = F[169,x]
F[169,x] = -F[173,x]+F[170,x]
F[170,x] = 1/F[18,x]*F[171,x]
F[171,x] = F[172,x]
F[172,x] = -F[2,x]+F[52,x]
F[173,x] = F[174,x]+F[227,x]
F[174,x] = -F[175,x]+F[170,x]
F[175,x] = F[176,x]+F[193,x]
F[176,x] = F[177,x]+F[189,x]
F[177,x] = F[178,x]
F[178,x] = F[179,x]*F[18,x]
F[179,x] = F[180,x]+F[187,x]
F[180,x] = F[177,x]+F[181,x]
F[181,x] = F[0,x]+F[182,x]
F[182,x] = F[183,x]
F[183,x] = F[18,x]*F[184,x]
F[184,x] = F[185,x]+F[186,x]
F[185,x] = F[181,x]*F[65,x]
F[186,x] = F[134,x]
F[187,x] = F[188,x]
F[188,x] = F[18,x]*F[181,x]*F[65,x]
F[189,x] = F[190,x]
F[190,x] = F[18,x]*F[181,x]*F[191,x]
F[191,x] = F[192,x]+F[72,x]
F[192,x] = F[65,x]*F[68,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]
F[195,x] = F[18,x]*F[196,x]
F[196,x] = F[197,x]+F[225,x]
F[197,x] = -F[224,x]+F[198,x]
F[198,x] = 1/F[18,x]*F[199,x]
F[199,x] = F[200,x]
F[200,x] = -F[203,x]+F[201,x]
F[201,x] = 1/F[18,x]*F[202,x]
F[202,x] = F[172,x]
F[203,x] = F[204,x]+F[205,x]
F[204,x] = F[122,x]*F[2,x]
F[205,x] = F[206,x]
F[206,x] = F[18,x]*F[207,x]
F[207,x] = F[208,x]+F[221,x]
F[208,x] = F[209,x]*F[68,x]
F[209,x] = F[184,x]+F[210,x]
F[210,x] = F[211,x]*F[66,x]
F[211,x] = F[185,x]+F[212,x]
F[212,x] = F[213,x]
F[213,x] = F[18,x]*F[214,x]*F[65,x]
F[214,x] = 1/F[18,x]/F[65,x]*F[215,x]
F[215,x] = F[216,x]
F[216,x] = -F[219,x]+F[217,x]
F[217,x] = 1/F[18,x]*F[218,x]
F[218,x] = F[148,x]
F[219,x] = 1/F[18,x]*F[220,x]
F[220,x] = F[127,x]
F[221,x] = F[222,x]+F[223,x]
F[222,x] = F[184,x]*F[51,x]
F[223,x] = F[211,x]*F[73,x]
F[224,x] = F[184,x]*F[65,x]
F[225,x] = F[226,x]
F[226,x] = F[18,x]*F[191,x]*F[211,x]
F[227,x] = F[189,x]+F[228,x]
F[228,x] = F[229,x]
F[229,x] = F[18,x]*F[230,x]
F[230,x] = F[225,x]+F[231,x]
F[231,x] = F[232,x]
F[232,x] = F[18,x]*F[211,x]*F[233,x]
F[233,x] = F[234,x]+F[66,x]
F[234,x] = F[65,x]*F[66,x]
F[235,x] = F[236,x]
F[236,x] = -F[249,x]+F[237,x]
F[237,x] = F[238,x]
F[238,x] = F[239,x]+F[242,x]
F[239,x] = F[182,x]+F[240,x]
F[240,x] = F[241,x]
F[241,x] = F[166,x]*F[18,x]
F[242,x] = F[243,x]
F[243,x] = F[18,x]*F[244,x]
F[244,x] = F[245,x]+F[247,x]
F[245,x] = F[246,x]
F[246,x] = F[18,x]*F[209,x]*F[65,x]
F[247,x] = F[248,x]
F[248,x] = F[240,x]*F[65,x]
F[249,x] = F[242,x]+F[250,x]
F[250,x] = F[240,x]+F[251,x]
F[251,x] = F[2,x]
F[252,x] = F[253,x]
F[253,x] = 1/F[273,x]*F[254,x]
F[254,x] = -F[285,x]+F[255,x]
F[255,x] = 1/F[18,x]*F[256,x]
F[256,x] = F[257,x]
F[257,x] = -F[271,x]+F[258,x]
F[258,x] = -F[261,x]+F[259,x]
F[259,x] = F[139,x]+F[260,x]
F[260,x] = F[0,x]*F[132,x]
F[261,x] = F[262,x]+F[263,x]
F[262,x] = F[0,x]^2
F[263,x] = F[182,x]+F[264,x]
F[264,x] = F[265,x]
F[265,x] = F[18,x]*F[266,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[182,x]*F[53,x]
F[268,x] = F[269,x]
F[269,x] = F[18,x]*F[211,x]*F[270,x]
F[270,x] = F[51,x]+F[64,x]
F[271,x] = F[272,x]
F[272,x] = F[18,x]*F[273,x]*F[283,x]
F[273,x] = F[0,x]+F[274,x]
F[274,x] = F[275,x]
F[275,x] = F[18,x]*F[276,x]*F[64,x]*F[65,x]
F[276,x] = F[1,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[18,x]*F[279,x]
F[279,x] = F[280,x]+F[65,x]
F[280,x] = F[277,x]+F[281,x]
F[281,x] = F[282,x]
F[282,x] = F[18,x]*F[280,x]
F[283,x] = F[132,x]+F[284,x]
F[284,x] = F[131,x]
F[285,x] = -F[288,x]+F[286,x]
F[286,x] = 1/F[18,x]*F[287,x]
F[287,x] = F[258,x]
F[288,x] = F[273,x]*F[289,x]
F[289,x] = F[290,x]+F[291,x]
F[290,x] = F[132,x]+F[147,x]
F[291,x] = F[147,x]
F[292,x] = F[293,x]
F[293,x] = F[18,x]*F[294,x]
F[294,x] = F[295,x]+F[302,x]
F[295,x] = F[153,x]*F[296,x]
F[296,x] = F[297,x]+F[298,x]
F[297,x] = F[0,x]*F[53,x]
F[298,x] = F[299,x]
F[299,x] = F[18,x]*F[300,x]
F[300,x] = F[221,x]+F[301,x]
F[301,x] = F[209,x]*F[64,x]
F[302,x] = F[303,x]
F[303,x] = F[18,x]*F[214,x]*F[304,x]
F[304,x] = F[270,x]+F[90,x]
F[305,x] = F[214,x]*F[69,x]
F[306,x] = F[200,x]+F[205,x]
F[307,x] = F[308,x]+F[309,x]
F[308,x] = F[122,x]*F[52,x]
F[309,x] = F[310,x]
F[310,x] = F[18,x]*F[311,x]
F[311,x] = F[312,x]
F[312,x] = F[18,x]*F[184,x]*F[92,x]
F[313,x] = F[314,x]+F[315,x]
F[314,x] = F[106,x]*F[184,x]
F[315,x] = F[316,x]
F[316,x] = F[317,x]*F[65,x]
F[317,x] = 1/F[18,x]/F[65,x]*F[318,x]
F[318,x] = F[319,x]
F[319,x] = F[194,x]+F[320,x]
F[320,x] = F[321,x]
F[321,x] = F[18,x]*F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[18,x]*F[211,x]*F[324,x]
F[324,x] = F[325,x]+F[90,x]
F[325,x] = F[66,x]*F[89,x]
F[326,x] = F[327,x]
F[327,x] = F[328,x]*F[65,x]
F[328,x] = F[59,x]
F[329,x] = F[96,x]
F[330,x] = F[331,x]
F[331,x] = F[18,x]*F[93,x]
F[332,x] = F[333,x]
F[333,x] = F[18,x]*F[334,x]
F[334,x] = F[335,x]
F[335,x] = F[65,x]^2*F[18,x]*F[276,x]*F[89,x]
F[336,x] = F[331,x]
F[337,x] = F[211,x]*F[44,x]
F[338,x] = F[339,x]
F[339,x] = F[18,x]*F[340,x]
F[340,x] = F[20,x]+F[41,x]
F[341,x] = F[342,x]
F[342,x] = F[18,x]*F[343,x]
F[343,x] = F[344,x]+F[386,x]
F[344,x] = F[345,x]+F[374,x]
F[345,x] = F[304,x]+F[346,x]
F[346,x] = F[347,x]
F[347,x] = F[18,x]*F[348,x]
F[348,x] = F[349,x]+F[370,x]
F[349,x] = F[350,x]+F[354,x]
F[350,x] = -F[351,x]+F[46,x]
F[351,x] = F[352,x]
F[352,x] = F[18,x]*F[353,x]*F[65,x]
F[353,x] = F[41,x]+F[43,x]
F[354,x] = 1/F[18,x]*F[355,x]
F[355,x] = F[356,x]
F[356,x] = -F[357,x]+F[47,x]
F[357,x] = F[358,x]+F[366,x]
F[358,x] = -F[365,x]+F[359,x]
F[359,x] = -F[363,x]+F[360,x]
F[360,x] = 1/F[18,x]*F[361,x]
F[361,x] = F[362,x]
F[362,x] = -F[53,x]+F[8,x]
F[363,x] = F[364,x]+F[39,x]
F[364,x] = F[11,x]
F[365,x] = F[14,x]+F[21,x]
F[366,x] = F[367,x]
F[367,x] = F[18,x]*F[368,x]
F[368,x] = F[369,x]
F[369,x] = F[65,x]^2*F[18,x]*F[276,x]*F[353,x]
F[370,x] = F[371,x]
F[371,x] = F[372,x]*F[65,x]
F[372,x] = F[373,x]
F[373,x] = F[18,x]*F[353,x]
F[374,x] = F[375,x]+F[384,x]
F[375,x] = F[376,x]
F[376,x] = F[18,x]*F[377,x]
F[377,x] = F[378,x]+F[380,x]
F[378,x] = F[15,x]*F[379,x]
F[379,x] = F[31,x]+F[41,x]
F[380,x] = F[381,x]
F[381,x] = F[15,x]*F[382,x]
F[382,x] = F[383,x]
F[383,x] = F[18,x]*F[46,x]
F[384,x] = F[385,x]
F[385,x] = F[18,x]*F[368,x]
F[386,x] = F[45,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_{18}\! \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_{18}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{341}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{21}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{18}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{20}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{19}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = F_{11}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{338}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{27}\! \left(x \right)
F_{26}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{18}\! \left(x \right) F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{337}\! \left(x \right)
F_{30}\! \left(x \right) = F_{184}\! \left(x \right) F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{36}\! \left(x \right)
F_{32}\! \left(x \right) = F_{15}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{14}\! \left(x \right)+F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{18}\! \left(x \right) F_{31}\! \left(x \right)
F_{36}\! \left(x \right) = F_{20}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{276}\! \left(x \right) F_{43}\! \left(x \right) F_{65}\! \left(x \right)
F_{43}\! \left(x \right) = F_{31}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{43}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{21}\! \left(x \right)+F_{39}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{55}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{2}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{18}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{336}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{55}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{18}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)+F_{72}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right) F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{68}\! \left(x \right)
F_{65}\! \left(x \right) = F_{1}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{18}\! \left(x \right) F_{65}\! \left(x \right)
F_{68}\! \left(x \right) = F_{2}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{18}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{51}\! \left(x \right)+F_{68}\! \left(x \right)
F_{72}\! \left(x \right) = F_{51}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{18}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{72}\! \left(x \right)+F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{332}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{94}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{18}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{87}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{86}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{52}\! \left(x \right)
F_{86}\! \left(x \right) = F_{53}\! \left(x \right)+F_{59}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{18}\! \left(x \right) F_{65}\! \left(x \right) F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{62}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{18}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{89}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{90}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{18}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{330}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{18}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{18}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{329}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{326}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{107}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{96}\! \left(x \right)
F_{106}\! \left(x \right) = F_{62}\! \left(x \right)+F_{76}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{18}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{18}\! \left(x \right) F_{211}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = \frac{F_{112}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{313}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{80}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{307}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{306}\! \left(x \right)
F_{121}\! \left(x \right) = F_{0}\! \left(x \right) F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{0}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{18}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)+F_{134}\! \left(x \right)
F_{126}\! \left(x \right) = F_{122}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{134}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = \frac{F_{133}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{133}\! \left(x \right) = F_{2}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{18}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{143}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = -F_{142}\! \left(x \right)+F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = \frac{F_{141}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{141}\! \left(x \right) = F_{130}\! \left(x \right)
F_{142}\! \left(x \right) = F_{132}\! \left(x \right) F_{2}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{305}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{2}\! \left(x \right)
F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = -F_{148}\! \left(x \right)+F_{140}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{18}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{292}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{0}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{252}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{0}\! \left(x \right) F_{18}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{2}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{18}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{2}\! \left(x \right) F_{53}\! \left(x \right)
F_{161}\! \left(x \right) = F_{0}\! \left(x \right) F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = -F_{173}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{52}\! \left(x \right)
F_{173}\! \left(x \right) = F_{174}\! \left(x \right)+F_{227}\! \left(x \right)
F_{174}\! \left(x \right) = -F_{175}\! \left(x \right)+F_{170}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{193}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{189}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right) F_{18}\! \left(x \right)
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{187}\! \left(x \right)
F_{180}\! \left(x \right) = F_{177}\! \left(x \right)+F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{0}\! \left(x \right)+F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{18}\! \left(x \right) F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{181}\! \left(x \right) F_{65}\! \left(x \right)
F_{186}\! \left(x \right) = F_{134}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)
F_{188}\! \left(x \right) = F_{18}\! \left(x \right) F_{181}\! \left(x \right) F_{65}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = F_{18}\! \left(x \right) F_{181}\! \left(x \right) F_{191}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)+F_{72}\! \left(x \right)
F_{192}\! \left(x \right) = F_{65}\! \left(x \right) F_{68}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = F_{18}\! \left(x \right) F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{225}\! \left(x \right)
F_{197}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = -F_{203}\! \left(x \right)+F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = \frac{F_{202}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{202}\! \left(x \right) = F_{172}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)+F_{205}\! \left(x \right)
F_{204}\! \left(x \right) = F_{122}\! \left(x \right) F_{2}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{18}\! \left(x \right) F_{207}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)+F_{221}\! \left(x \right)
F_{208}\! \left(x \right) = F_{209}\! \left(x \right) F_{68}\! \left(x \right)
F_{209}\! \left(x \right) = F_{184}\! \left(x \right)+F_{210}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{66}\! \left(x \right)
F_{211}\! \left(x \right) = F_{185}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{213}\! \left(x \right)
F_{213}\! \left(x \right) = F_{18}\! \left(x \right) F_{214}\! \left(x \right) F_{65}\! \left(x \right)
F_{214}\! \left(x \right) = \frac{F_{215}\! \left(x \right)}{F_{18}\! \left(x \right) F_{65}\! \left(x \right)}
F_{215}\! \left(x \right) = F_{216}\! \left(x \right)
F_{216}\! \left(x \right) = -F_{219}\! \left(x \right)+F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{218}\! \left(x \right) = F_{148}\! \left(x \right)
F_{219}\! \left(x \right) = \frac{F_{220}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{220}\! \left(x \right) = F_{127}\! \left(x \right)
F_{221}\! \left(x \right) = F_{222}\! \left(x \right)+F_{223}\! \left(x \right)
F_{222}\! \left(x \right) = F_{184}\! \left(x \right) F_{51}\! \left(x \right)
F_{223}\! \left(x \right) = F_{211}\! \left(x \right) F_{73}\! \left(x \right)
F_{224}\! \left(x \right) = F_{184}\! \left(x \right) F_{65}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{18}\! \left(x \right) F_{191}\! \left(x \right) F_{211}\! \left(x \right)
F_{227}\! \left(x \right) = F_{189}\! \left(x \right)+F_{228}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{18}\! \left(x \right) F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{225}\! \left(x \right)+F_{231}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{18}\! \left(x \right) F_{211}\! \left(x \right) F_{233}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{66}\! \left(x \right)
F_{234}\! \left(x \right) = F_{65}\! \left(x \right) F_{66}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = -F_{249}\! \left(x \right)+F_{237}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)+F_{242}\! \left(x \right)
F_{239}\! \left(x \right) = F_{182}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)
F_{241}\! \left(x \right) = F_{166}\! \left(x \right) F_{18}\! \left(x \right)
F_{242}\! \left(x \right) = F_{243}\! \left(x \right)
F_{243}\! \left(x \right) = F_{18}\! \left(x \right) F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{245}\! \left(x \right)+F_{247}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)
F_{246}\! \left(x \right) = F_{18}\! \left(x \right) F_{209}\! \left(x \right) F_{65}\! \left(x \right)
F_{247}\! \left(x \right) = F_{248}\! \left(x \right)
F_{248}\! \left(x \right) = F_{240}\! \left(x \right) F_{65}\! \left(x \right)
F_{249}\! \left(x \right) = F_{242}\! \left(x \right)+F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{240}\! \left(x \right)+F_{251}\! \left(x \right)
F_{251}\! \left(x \right) = F_{2}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = \frac{F_{254}\! \left(x \right)}{F_{273}\! \left(x \right)}
F_{254}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{255}\! \left(x \right)
F_{255}\! \left(x \right) = \frac{F_{256}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{256}\! \left(x \right) = F_{257}\! \left(x \right)
F_{257}\! \left(x \right) = -F_{271}\! \left(x \right)+F_{258}\! \left(x \right)
F_{258}\! \left(x \right) = -F_{261}\! \left(x \right)+F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{139}\! \left(x \right)+F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{0}\! \left(x \right) F_{132}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)
F_{262}\! \left(x \right) = F_{0} \left(x \right)^{2}
F_{263}\! \left(x \right) = F_{182}\! \left(x \right)+F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{18}\! \left(x \right) F_{266}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{182}\! \left(x \right) F_{53}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{18}\! \left(x \right) F_{211}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = F_{51}\! \left(x \right)+F_{64}\! \left(x \right)
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = F_{18}\! \left(x \right) F_{273}\! \left(x \right) F_{283}\! \left(x \right)
F_{273}\! \left(x \right) = F_{0}\! \left(x \right)+F_{274}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{18}\! \left(x \right) F_{276}\! \left(x \right) F_{64}\! \left(x \right) F_{65}\! \left(x \right)
F_{276}\! \left(x \right) = F_{1}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{18}\! \left(x \right) F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)+F_{65}\! \left(x \right)
F_{280}\! \left(x \right) = F_{277}\! \left(x \right)+F_{281}\! \left(x \right)
F_{281}\! \left(x \right) = F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = F_{18}\! \left(x \right) F_{280}\! \left(x \right)
F_{283}\! \left(x \right) = F_{132}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{131}\! \left(x \right)
F_{285}\! \left(x \right) = -F_{288}\! \left(x \right)+F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = \frac{F_{287}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{287}\! \left(x \right) = F_{258}\! \left(x \right)
F_{288}\! \left(x \right) = F_{273}\! \left(x \right) F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)+F_{291}\! \left(x \right)
F_{290}\! \left(x \right) = F_{132}\! \left(x \right)+F_{147}\! \left(x \right)
F_{291}\! \left(x \right) = F_{147}\! \left(x \right)
F_{292}\! \left(x \right) = F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{18}\! \left(x \right) F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{295}\! \left(x \right)+F_{302}\! \left(x \right)
F_{295}\! \left(x \right) = F_{153}\! \left(x \right) F_{296}\! \left(x \right)
F_{296}\! \left(x \right) = F_{297}\! \left(x \right)+F_{298}\! \left(x \right)
F_{297}\! \left(x \right) = F_{0}\! \left(x \right) F_{53}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)
F_{299}\! \left(x \right) = F_{18}\! \left(x \right) F_{300}\! \left(x \right)
F_{300}\! \left(x \right) = F_{221}\! \left(x \right)+F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{209}\! \left(x \right) F_{64}\! \left(x \right)
F_{302}\! \left(x \right) = F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{18}\! \left(x \right) F_{214}\! \left(x \right) F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{270}\! \left(x \right)+F_{90}\! \left(x \right)
F_{305}\! \left(x \right) = F_{214}\! \left(x \right) F_{69}\! \left(x \right)
F_{306}\! \left(x \right) = F_{200}\! \left(x \right)+F_{205}\! \left(x \right)
F_{307}\! \left(x \right) = F_{308}\! \left(x \right)+F_{309}\! \left(x \right)
F_{308}\! \left(x \right) = F_{122}\! \left(x \right) F_{52}\! \left(x \right)
F_{309}\! \left(x \right) = F_{310}\! \left(x \right)
F_{310}\! \left(x \right) = F_{18}\! \left(x \right) F_{311}\! \left(x \right)
F_{311}\! \left(x \right) = F_{312}\! \left(x \right)
F_{312}\! \left(x \right) = F_{18}\! \left(x \right) F_{184}\! \left(x \right) F_{92}\! \left(x \right)
F_{313}\! \left(x \right) = F_{314}\! \left(x \right)+F_{315}\! \left(x \right)
F_{314}\! \left(x \right) = F_{106}\! \left(x \right) F_{184}\! \left(x \right)
F_{315}\! \left(x \right) = F_{316}\! \left(x \right)
F_{316}\! \left(x \right) = F_{317}\! \left(x \right) F_{65}\! \left(x \right)
F_{317}\! \left(x \right) = \frac{F_{318}\! \left(x \right)}{F_{18}\! \left(x \right) F_{65}\! \left(x \right)}
F_{318}\! \left(x \right) = F_{319}\! \left(x \right)
F_{319}\! \left(x \right) = F_{194}\! \left(x \right)+F_{320}\! \left(x \right)
F_{320}\! \left(x \right) = F_{321}\! \left(x \right)
F_{321}\! \left(x \right) = F_{18}\! \left(x \right) F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{18}\! \left(x \right) F_{211}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{90}\! \left(x \right)
F_{325}\! \left(x \right) = F_{66}\! \left(x \right) F_{89}\! \left(x \right)
F_{326}\! \left(x \right) = F_{327}\! \left(x \right)
F_{327}\! \left(x \right) = F_{328}\! \left(x \right) F_{65}\! \left(x \right)
F_{328}\! \left(x \right) = F_{59}\! \left(x \right)
F_{329}\! \left(x \right) = F_{96}\! \left(x \right)
F_{330}\! \left(x \right) = F_{331}\! \left(x \right)
F_{331}\! \left(x \right) = F_{18}\! \left(x \right) F_{93}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{18}\! \left(x \right) F_{334}\! \left(x \right)
F_{334}\! \left(x \right) = F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{65} \left(x \right)^{2} F_{18}\! \left(x \right) F_{276}\! \left(x \right) F_{89}\! \left(x \right)
F_{336}\! \left(x \right) = F_{331}\! \left(x \right)
F_{337}\! \left(x \right) = F_{211}\! \left(x \right) F_{44}\! \left(x \right)
F_{338}\! \left(x \right) = F_{339}\! \left(x \right)
F_{339}\! \left(x \right) = F_{18}\! \left(x \right) F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{20}\! \left(x \right)+F_{41}\! \left(x \right)
F_{341}\! \left(x \right) = F_{342}\! \left(x \right)
F_{342}\! \left(x \right) = F_{18}\! \left(x \right) F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{386}\! \left(x \right)
F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{374}\! \left(x \right)
F_{345}\! \left(x \right) = F_{304}\! \left(x \right)+F_{346}\! \left(x \right)
F_{346}\! \left(x \right) = F_{347}\! \left(x \right)
F_{347}\! \left(x \right) = F_{18}\! \left(x \right) F_{348}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{370}\! \left(x \right)
F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{354}\! \left(x \right)
F_{350}\! \left(x \right) = -F_{351}\! \left(x \right)+F_{46}\! \left(x \right)
F_{351}\! \left(x \right) = F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{18}\! \left(x \right) F_{353}\! \left(x \right) F_{65}\! \left(x \right)
F_{353}\! \left(x \right) = F_{41}\! \left(x \right)+F_{43}\! \left(x \right)
F_{354}\! \left(x \right) = \frac{F_{355}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{355}\! \left(x \right) = F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = -F_{357}\! \left(x \right)+F_{47}\! \left(x \right)
F_{357}\! \left(x \right) = F_{358}\! \left(x \right)+F_{366}\! \left(x \right)
F_{358}\! \left(x \right) = -F_{365}\! \left(x \right)+F_{359}\! \left(x \right)
F_{359}\! \left(x \right) = -F_{363}\! \left(x \right)+F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{361}\! \left(x \right) = F_{362}\! \left(x \right)
F_{362}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{8}\! \left(x \right)
F_{363}\! \left(x \right) = F_{364}\! \left(x \right)+F_{39}\! \left(x \right)
F_{364}\! \left(x \right) = F_{11}\! \left(x \right)
F_{365}\! \left(x \right) = F_{14}\! \left(x \right)+F_{21}\! \left(x \right)
F_{366}\! \left(x \right) = F_{367}\! \left(x \right)
F_{367}\! \left(x \right) = F_{18}\! \left(x \right) F_{368}\! \left(x \right)
F_{368}\! \left(x \right) = F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{65} \left(x \right)^{2} F_{18}\! \left(x \right) F_{276}\! \left(x \right) F_{353}\! \left(x \right)
F_{370}\! \left(x \right) = F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right) F_{65}\! \left(x \right)
F_{372}\! \left(x \right) = F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{18}\! \left(x \right) F_{353}\! \left(x \right)
F_{374}\! \left(x \right) = F_{375}\! \left(x \right)+F_{384}\! \left(x \right)
F_{375}\! \left(x \right) = F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{18}\! \left(x \right) F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)+F_{380}\! \left(x \right)
F_{378}\! \left(x \right) = F_{15}\! \left(x \right) F_{379}\! \left(x \right)
F_{379}\! \left(x \right) = F_{31}\! \left(x \right)+F_{41}\! \left(x \right)
F_{380}\! \left(x \right) = F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{15}\! \left(x \right) F_{382}\! \left(x \right)
F_{382}\! \left(x \right) = F_{383}\! \left(x \right)
F_{383}\! \left(x \right) = F_{18}\! \left(x \right) F_{46}\! \left(x \right)
F_{384}\! \left(x \right) = F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = F_{18}\! \left(x \right) F_{368}\! \left(x \right)
F_{386}\! \left(x \right) = F_{45}\! \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_18(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_18(x)*F_7(x))
Eq(F_7(x), F_341(x) + F_8(x))
Eq(F_8(x), F_21(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_18(x))
Eq(F_12(x), F_13(x) + F_20(x))
Eq(F_13(x), F_14(x)*F_15(x))
Eq(F_14(x), F_15(x) + F_19(x))
Eq(F_15(x), F_1(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), x)
Eq(F_19(x), F_11(x))
Eq(F_20(x), F_21(x) + F_338(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_15(x)*F_2(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_18(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_27(x))
Eq(F_26(x), F_12(x)*F_2(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_18(x)*F_29(x))
Eq(F_29(x), F_30(x) + F_337(x))
Eq(F_30(x), F_184(x)*F_31(x))
Eq(F_31(x), F_32(x) + F_36(x))
Eq(F_32(x), F_15(x)*F_33(x))
Eq(F_33(x), F_14(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_18(x)*F_31(x))
Eq(F_36(x), F_20(x) + F_37(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_15(x)*F_39(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_18(x)*F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_276(x)*F_43(x)*F_65(x))
Eq(F_43(x), F_31(x) + F_44(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_15(x)*F_18(x)*F_46(x))
Eq(F_46(x), F_43(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_18(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_50(x) - F_51(x))
Eq(F_50(x), F_21(x) + F_39(x))
Eq(F_51(x), F_52(x) + F_55(x))
Eq(F_52(x), -F_0(x) + F_53(x))
Eq(F_53(x), F_54(x)/F_18(x))
Eq(F_54(x), F_2(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_18(x)*F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_336(x) + F_59(x))
Eq(F_59(x), F_55(x) + F_60(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_18(x)*F_62(x))
Eq(F_62(x), F_63(x) + F_72(x))
Eq(F_63(x), F_64(x)*F_65(x))
Eq(F_64(x), F_65(x) + F_68(x))
Eq(F_65(x), F_1(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_18(x)*F_65(x))
Eq(F_68(x), F_2(x) + F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_18(x)*F_71(x))
Eq(F_71(x), F_51(x) + F_68(x))
Eq(F_72(x), F_51(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_18(x)*F_75(x))
Eq(F_75(x), F_72(x) + F_76(x))
Eq(F_76(x), F_332(x) + F_77(x))
Eq(F_77(x), F_78(x) + F_94(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_18(x)*F_80(x))
Eq(F_80(x), F_81(x) - F_87(x))
Eq(F_81(x), F_82(x)/F_18(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_84(x) - F_86(x))
Eq(F_84(x), F_85(x)/F_18(x))
Eq(F_85(x), F_52(x))
Eq(F_86(x), F_53(x) + F_59(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), F_18(x)*F_65(x)*F_89(x))
Eq(F_89(x), F_62(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_18(x)*F_92(x))
Eq(F_92(x), F_89(x) + F_93(x))
Eq(F_93(x), F_90(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_18(x)*F_96(x))
Eq(F_96(x), -F_330(x) + F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_18(x)*F_99(x))
Eq(F_99(x), F_100(x)/F_18(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_18(x))
Eq(F_102(x), F_103(x) + F_329(x))
Eq(F_103(x), F_104(x) + F_326(x))
Eq(F_104(x), F_105(x) + F_107(x))
Eq(F_105(x), F_106(x) + F_96(x))
Eq(F_106(x), F_62(x) + F_76(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_18(x))
Eq(F_109(x), F_110(x)/(F_18(x)*F_211(x)))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)/F_18(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_18(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x) - F_313(x))
Eq(F_116(x), F_117(x)/F_18(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), -F_119(x) + F_80(x))
Eq(F_119(x), F_120(x) + F_307(x))
Eq(F_120(x), F_121(x) + F_306(x))
Eq(F_121(x), F_0(x)*F_122(x))
Eq(F_122(x), F_0(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_18(x))
Eq(F_125(x), F_126(x) + F_134(x))
Eq(F_126(x), F_122(x) + F_127(x))
Eq(F_127(x), F_128(x) - F_134(x))
Eq(F_128(x), F_129(x)/F_18(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x) - F_2(x))
Eq(F_131(x), -F_0(x) + F_132(x))
Eq(F_132(x), F_133(x)/F_18(x))
Eq(F_133(x), F_2(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x)*F_18(x))
Eq(F_136(x), F_137(x) - F_143(x))
Eq(F_137(x), F_138(x)/F_18(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) - F_142(x))
Eq(F_140(x), F_141(x)/F_18(x))
Eq(F_141(x), F_130(x))
Eq(F_142(x), F_132(x)*F_2(x))
Eq(F_143(x), F_144(x) + F_305(x))
Eq(F_144(x), F_145(x)*F_2(x))
Eq(F_145(x), F_146(x)/F_18(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_140(x) - F_148(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_18(x))
Eq(F_150(x), F_151(x) + F_292(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_0(x)*F_153(x))
Eq(F_153(x), F_154(x) + F_252(x))
Eq(F_154(x), F_155(x)/(F_0(x)*F_18(x)))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_157(x) + F_2(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_159(x)*F_18(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_2(x)*F_53(x))
Eq(F_161(x), F_0(x)*F_162(x))
Eq(F_162(x), -F_0(x) + F_163(x))
Eq(F_163(x), F_164(x)/F_18(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_166(x) - F_235(x))
Eq(F_166(x), F_167(x) - F_179(x))
Eq(F_167(x), F_168(x)/F_18(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_170(x) - F_173(x))
Eq(F_170(x), F_171(x)/F_18(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), -F_2(x) + F_52(x))
Eq(F_173(x), F_174(x) + F_227(x))
Eq(F_174(x), F_170(x) - F_175(x))
Eq(F_175(x), F_176(x) + F_193(x))
Eq(F_176(x), F_177(x) + F_189(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_179(x)*F_18(x))
Eq(F_179(x), F_180(x) + F_187(x))
Eq(F_180(x), F_177(x) + F_181(x))
Eq(F_181(x), F_0(x) + F_182(x))
Eq(F_182(x), F_183(x))
Eq(F_183(x), F_18(x)*F_184(x))
Eq(F_184(x), F_185(x) + F_186(x))
Eq(F_185(x), F_181(x)*F_65(x))
Eq(F_186(x), F_134(x))
Eq(F_187(x), F_188(x))
Eq(F_188(x), F_18(x)*F_181(x)*F_65(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_18(x)*F_181(x)*F_191(x))
Eq(F_191(x), F_192(x) + F_72(x))
Eq(F_192(x), F_65(x)*F_68(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x))
Eq(F_195(x), F_18(x)*F_196(x))
Eq(F_196(x), F_197(x) + F_225(x))
Eq(F_197(x), F_198(x) - F_224(x))
Eq(F_198(x), F_199(x)/F_18(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_201(x) - F_203(x))
Eq(F_201(x), F_202(x)/F_18(x))
Eq(F_202(x), F_172(x))
Eq(F_203(x), F_204(x) + F_205(x))
Eq(F_204(x), F_122(x)*F_2(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_18(x)*F_207(x))
Eq(F_207(x), F_208(x) + F_221(x))
Eq(F_208(x), F_209(x)*F_68(x))
Eq(F_209(x), F_184(x) + F_210(x))
Eq(F_210(x), F_211(x)*F_66(x))
Eq(F_211(x), F_185(x) + F_212(x))
Eq(F_212(x), F_213(x))
Eq(F_213(x), F_18(x)*F_214(x)*F_65(x))
Eq(F_214(x), F_215(x)/(F_18(x)*F_65(x)))
Eq(F_215(x), F_216(x))
Eq(F_216(x), F_217(x) - F_219(x))
Eq(F_217(x), F_218(x)/F_18(x))
Eq(F_218(x), F_148(x))
Eq(F_219(x), F_220(x)/F_18(x))
Eq(F_220(x), F_127(x))
Eq(F_221(x), F_222(x) + F_223(x))
Eq(F_222(x), F_184(x)*F_51(x))
Eq(F_223(x), F_211(x)*F_73(x))
Eq(F_224(x), F_184(x)*F_65(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_18(x)*F_191(x)*F_211(x))
Eq(F_227(x), F_189(x) + F_228(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_18(x)*F_230(x))
Eq(F_230(x), F_225(x) + F_231(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_18(x)*F_211(x)*F_233(x))
Eq(F_233(x), F_234(x) + F_66(x))
Eq(F_234(x), F_65(x)*F_66(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x) - F_249(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_239(x) + F_242(x))
Eq(F_239(x), F_182(x) + F_240(x))
Eq(F_240(x), F_241(x))
Eq(F_241(x), F_166(x)*F_18(x))
Eq(F_242(x), F_243(x))
Eq(F_243(x), F_18(x)*F_244(x))
Eq(F_244(x), F_245(x) + F_247(x))
Eq(F_245(x), F_246(x))
Eq(F_246(x), F_18(x)*F_209(x)*F_65(x))
Eq(F_247(x), F_248(x))
Eq(F_248(x), F_240(x)*F_65(x))
Eq(F_249(x), F_242(x) + F_250(x))
Eq(F_250(x), F_240(x) + F_251(x))
Eq(F_251(x), F_2(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_254(x)/F_273(x))
Eq(F_254(x), F_255(x) - F_285(x))
Eq(F_255(x), F_256(x)/F_18(x))
Eq(F_256(x), F_257(x))
Eq(F_257(x), F_258(x) - F_271(x))
Eq(F_258(x), F_259(x) - F_261(x))
Eq(F_259(x), F_139(x) + F_260(x))
Eq(F_260(x), F_0(x)*F_132(x))
Eq(F_261(x), F_262(x) + F_263(x))
Eq(F_262(x), F_0(x)**2)
Eq(F_263(x), F_182(x) + F_264(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), F_18(x)*F_266(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_182(x)*F_53(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_18(x)*F_211(x)*F_270(x))
Eq(F_270(x), F_51(x) + F_64(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_18(x)*F_273(x)*F_283(x))
Eq(F_273(x), F_0(x) + F_274(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_18(x)*F_276(x)*F_64(x)*F_65(x))
Eq(F_276(x), F_1(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_18(x)*F_279(x))
Eq(F_279(x), F_280(x) + F_65(x))
Eq(F_280(x), F_277(x) + F_281(x))
Eq(F_281(x), F_282(x))
Eq(F_282(x), F_18(x)*F_280(x))
Eq(F_283(x), F_132(x) + F_284(x))
Eq(F_284(x), F_131(x))
Eq(F_285(x), F_286(x) - F_288(x))
Eq(F_286(x), F_287(x)/F_18(x))
Eq(F_287(x), F_258(x))
Eq(F_288(x), F_273(x)*F_289(x))
Eq(F_289(x), F_290(x) + F_291(x))
Eq(F_290(x), F_132(x) + F_147(x))
Eq(F_291(x), F_147(x))
Eq(F_292(x), F_293(x))
Eq(F_293(x), F_18(x)*F_294(x))
Eq(F_294(x), F_295(x) + F_302(x))
Eq(F_295(x), F_153(x)*F_296(x))
Eq(F_296(x), F_297(x) + F_298(x))
Eq(F_297(x), F_0(x)*F_53(x))
Eq(F_298(x), F_299(x))
Eq(F_299(x), F_18(x)*F_300(x))
Eq(F_300(x), F_221(x) + F_301(x))
Eq(F_301(x), F_209(x)*F_64(x))
Eq(F_302(x), F_303(x))
Eq(F_303(x), F_18(x)*F_214(x)*F_304(x))
Eq(F_304(x), F_270(x) + F_90(x))
Eq(F_305(x), F_214(x)*F_69(x))
Eq(F_306(x), F_200(x) + F_205(x))
Eq(F_307(x), F_308(x) + F_309(x))
Eq(F_308(x), F_122(x)*F_52(x))
Eq(F_309(x), F_310(x))
Eq(F_310(x), F_18(x)*F_311(x))
Eq(F_311(x), F_312(x))
Eq(F_312(x), F_18(x)*F_184(x)*F_92(x))
Eq(F_313(x), F_314(x) + F_315(x))
Eq(F_314(x), F_106(x)*F_184(x))
Eq(F_315(x), F_316(x))
Eq(F_316(x), F_317(x)*F_65(x))
Eq(F_317(x), F_318(x)/(F_18(x)*F_65(x)))
Eq(F_318(x), F_319(x))
Eq(F_319(x), F_194(x) + F_320(x))
Eq(F_320(x), F_321(x))
Eq(F_321(x), F_18(x)*F_322(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_18(x)*F_211(x)*F_324(x))
Eq(F_324(x), F_325(x) + F_90(x))
Eq(F_325(x), F_66(x)*F_89(x))
Eq(F_326(x), F_327(x))
Eq(F_327(x), F_328(x)*F_65(x))
Eq(F_328(x), F_59(x))
Eq(F_329(x), F_96(x))
Eq(F_330(x), F_331(x))
Eq(F_331(x), F_18(x)*F_93(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_18(x)*F_334(x))
Eq(F_334(x), F_335(x))
Eq(F_335(x), F_18(x)*F_276(x)*F_65(x)**2*F_89(x))
Eq(F_336(x), F_331(x))
Eq(F_337(x), F_211(x)*F_44(x))
Eq(F_338(x), F_339(x))
Eq(F_339(x), F_18(x)*F_340(x))
Eq(F_340(x), F_20(x) + F_41(x))
Eq(F_341(x), F_342(x))
Eq(F_342(x), F_18(x)*F_343(x))
Eq(F_343(x), F_344(x) + F_386(x))
Eq(F_344(x), F_345(x) + F_374(x))
Eq(F_345(x), F_304(x) + F_346(x))
Eq(F_346(x), F_347(x))
Eq(F_347(x), F_18(x)*F_348(x))
Eq(F_348(x), F_349(x) + F_370(x))
Eq(F_349(x), F_350(x) + F_354(x))
Eq(F_350(x), -F_351(x) + F_46(x))
Eq(F_351(x), F_352(x))
Eq(F_352(x), F_18(x)*F_353(x)*F_65(x))
Eq(F_353(x), F_41(x) + F_43(x))
Eq(F_354(x), F_355(x)/F_18(x))
Eq(F_355(x), F_356(x))
Eq(F_356(x), -F_357(x) + F_47(x))
Eq(F_357(x), F_358(x) + F_366(x))
Eq(F_358(x), F_359(x) - F_365(x))
Eq(F_359(x), F_360(x) - F_363(x))
Eq(F_360(x), F_361(x)/F_18(x))
Eq(F_361(x), F_362(x))
Eq(F_362(x), -F_53(x) + F_8(x))
Eq(F_363(x), F_364(x) + F_39(x))
Eq(F_364(x), F_11(x))
Eq(F_365(x), F_14(x) + F_21(x))
Eq(F_366(x), F_367(x))
Eq(F_367(x), F_18(x)*F_368(x))
Eq(F_368(x), F_369(x))
Eq(F_369(x), F_18(x)*F_276(x)*F_353(x)*F_65(x)**2)
Eq(F_370(x), F_371(x))
Eq(F_371(x), F_372(x)*F_65(x))
Eq(F_372(x), F_373(x))
Eq(F_373(x), F_18(x)*F_353(x))
Eq(F_374(x), F_375(x) + F_384(x))
Eq(F_375(x), F_376(x))
Eq(F_376(x), F_18(x)*F_377(x))
Eq(F_377(x), F_378(x) + F_380(x))
Eq(F_378(x), F_15(x)*F_379(x))
Eq(F_379(x), F_31(x) + F_41(x))
Eq(F_380(x), F_381(x))
Eq(F_381(x), F_15(x)*F_382(x))
Eq(F_382(x), F_383(x))
Eq(F_383(x), F_18(x)*F_46(x))
Eq(F_384(x), F_385(x))
Eq(F_385(x), F_18(x)*F_368(x))
Eq(F_386(x), F_45(x))
Pack JSON:
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Specification JSON:
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5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 4], [0, 6], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [2, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 6], [0, 5], [0, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 6], [0, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 5], [0, 5], [0, 6], [2, 5], [2, 5]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 3], [0, 6], [0, 6], [0, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 3], [0, 6], [0, 6], [2, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 4], [0, 6], [0, 6], [0, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 4], [0, 6], [0, 6], [2, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 5], [0, 6], [0, 6], [0, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 5], [0, 6], [0, 6], [2, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [2, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 6], [0, 6], [0, 6], [2, 6], [2, 6]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 0, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "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, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "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, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}], [{"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": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "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, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [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"}}]}
Specification 3
Strategy pack name: col_placements_tracked_fusion
Tree: http://www.permpal.com/tree/25197/
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[1,x]+F[5,x]+F[81,x]
F[5,x] = F[3,x]*F[6,x]
F[6,x] = F[1,x]+F[7,x]+F[76,x]+F[79,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[3,x]*F[9,x,k[0]]
F[9,x,k[0]] = F[1,x]+F[10,x,k[0]]+F[12,x,k[0]]+F[66,x,k[0]]+F[72,x,k[0]]
F[10,x,k[0]] = F[11,x,k[0]]*F[3,x]
F[11,x,k[0]] = 1/(-1+k[0])*(F[9,x,k[0]]*k[0]-F[9,x,1])
F[12,x,k[0]] = F[13,x,k[0]]*F[3,x]
F[13,x,k[0]] = 1/(-1+k[0])*(F[14,x,k[0]]*k[0]-F[14,x,1])
F[14,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[15,x,k[0]] = F[1,x]+F[16,x,k[0]]+F[17,x,k[0]]+F[8,x,k[0]]
F[16,x,k[0]] = F[14,x,k[0]]*F[3,x]
F[17,x,k[0]] = F[18,x,k[0]]*F[19,x,k[0]]
F[18,x,k[0]] = k[0]*x
F[19,x,k[0]] = F[20,x,1,k[0]]
F[20,x,k[0],k[1]] = (F[21,x,k[0]*k[1]]*k[0]-F[21,x,k[1]])/(-1+k[0])
F[21,x,k[0]] = 1/(-1+k[0])*(F[22,x,k[0]]*k[0]-F[22,x,1])
F[22,x,k[0]] = F[1,x]+F[23,x,k[0]]+F[71,x,k[0]]
F[23,x,k[0]] = F[24,x,k[0]]*F[3,x]
F[24,x,k[0]] = F[1,x]+F[25,x,k[0]]+F[63,x,k[0]]+F[70,x,k[0]]
F[25,x,k[0]] = F[26,x,k[0]]*F[3,x]
F[26,x,k[0]] = F[1,x]+F[27,x,k[0]]+F[51,x,k[0]]+F[66,x,k[0]]+F[69,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]*F[3,x]
F[28,x,k[0]] = F[29,x,1,k[0]]
F[29,x,k[0],k[1]] = 1/(-1+k[0])*(F[30,x,k[0],k[1]]*k[0]-F[30,x,1,k[1]])
F[30,x,k[0],k[1]] = F[1,x]+F[31,x,k[0],k[1]]+F[33,x,k[0],k[1]]+F[42,x,k[0],k[1]]+F[65,x,k[1],k[0]]
F[31,x,k[0],k[1]] = F[3,x]*F[32,x,k[0],k[1]]
F[32,x,k[0],k[1]] = 1/(-1+k[0])*(F[30,x,k[0],k[1]]*k[0]-F[30,x,1,k[1]])
F[33,x,k[0],k[1]] = F[3,x]*F[34,x,k[0],k[1]]
F[34,x,k[0],k[1]] = 1/(-1+k[0])*(F[35,x,k[0],k[1]]*k[0]-F[35,x,1,k[1]])
F[35,x,k[0],k[1]] = F[1,x]+F[31,x,k[0],k[1]]+F[33,x,k[0],k[1]]+F[36,x,k[0],k[1]]+F[41,x,k[1],k[0]]
F[36,x,k[0],k[1]] = F[18,x,k[0]]*F[37,x,k[0],k[1]]
F[37,x,k[0],k[1]] = F[38,x,1,k[0],k[1]]
F[38,x,k[0],k[1],k[2]] = (F[39,x,k[0]*k[1],k[2]]*k[0]-F[39,x,k[1],k[2]])/(-1+k[0])
F[39,x,k[0],k[1]] = 1/(-1+k[0])*(F[40,x,k[0],k[1]]*k[0]-F[40,x,1,k[1]])
F[40,x,k[0],k[1]] = (F[22,x,k[0]]*k[0]-F[22,x,k[1]]*k[1])/(-k[1]+k[0])
F[41,x,k[0],k[1]] = F[18,x,k[0]]*F[39,x,k[1],k[0]]
F[42,x,k[0],k[1]] = F[18,x,k[0]]*F[43,x,k[0],k[1]]
F[43,x,k[0],k[1]] = (F[44,x,k[0],1]*k[0]-F[44,x,k[0],k[1]/k[0]]*k[1])/(-k[1]+k[0])
F[44,x,k[0],k[1]] = F[45,x,k[0],k[0]*k[1]]
F[45,x,k[0],k[1]] = F[1,x]+F[46,x,k[0],k[1]]+F[48,x,k[0],k[1]]+F[60,x,k[0],k[1]]+F[64,x,k[1]]
F[46,x,k[0],k[1]] = F[3,x]*F[47,x,k[0],k[1]]
F[47,x,k[0],k[1]] = (F[26,x,k[0]]*k[0]-F[26,x,k[1]]*k[1])/(-k[1]+k[0])
F[48,x,k[0],k[1]] = F[3,x]*F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = (F[50,x,k[0]]*k[0]-F[50,x,k[1]]*k[1])/(-k[1]+k[0])
F[50,x,k[0]] = F[1,x]+F[27,x,k[0]]+F[51,x,k[0]]+F[54,x,k[0]]+F[58,x,k[0]]
F[51,x,k[0]] = F[3,x]*F[52,x,k[0]]
F[52,x,k[0]] = F[53,x,1,k[0]]
F[53,x,k[0],k[1]] = 1/(-1+k[0])*(F[35,x,k[0],k[1]]*k[0]-F[35,x,1,k[1]])
F[54,x,k[0]] = F[3,x]*F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,1,k[0]]
F[56,x,k[0],k[1]] = (F[57,x,k[0],k[1]]*k[0]-F[57,x,1,k[1]])/(-1+k[0])
F[57,x,k[0],k[1]] = 1/(-1+k[0])*(F[40,x,k[0],k[1]]*k[0]-F[40,x,1,k[1]])
F[58,x,k[0]] = F[18,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[57,x,1,k[0]]
F[60,x,k[0],k[1]] = F[18,x,k[0]]*F[61,x,k[0],k[1]]
F[61,x,k[0],k[1]] = (F[62,x,k[0]]*k[0]-F[62,x,k[1]]*k[1])/(-k[1]+k[0])
F[62,x,k[0]] = F[1,x]+F[25,x,k[0]]+F[63,x,k[0]]+F[64,x,k[0]]
F[63,x,k[0]] = F[3,x]*F[50,x,k[0]]
F[64,x,k[0]] = F[18,x,k[0]]*F[21,x,k[0]]
F[65,x,k[0],k[1]] = F[18,x,k[0]]*F[45,x,k[1],k[0]]
F[66,x,k[0]] = F[3,x]*F[67,x,k[0]]
F[67,x,k[0]] = 1/(-1+k[0])*(F[68,x,k[0]]*k[0]-F[68,x,1])
F[68,x,k[0]] = F[45,x,1,k[0]]
F[69,x,k[0]] = F[18,x,k[0]]*F[68,x,k[0]]
F[70,x,k[0]] = F[18,x,k[0]]*F[62,x,k[0]]
F[71,x,k[0]] = F[18,x,k[0]]*F[22,x,k[0]]
F[72,x,k[0]] = F[18,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[74,x,1,k[0]]
F[74,x,k[0],k[1]] = (-F[75,x,1,k[1]]*k[1]+F[75,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[75,x,k[0],k[1]] = F[45,x,k[0]*k[1],k[1]]
F[76,x] = F[3,x]*F[77,x]
F[77,x] = F[78,x,1]
F[78,x,k[0]] = 1/(-1+k[0])*(F[15,x,k[0]]*k[0]-F[15,x,1])
F[79,x] = F[3,x]*F[80,x]
F[80,x] = F[68,x,1]
F[81,x] = F[3,x]*F[82,x]
F[82,x] = F[15,x,1]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right) F_{4}\! \left(x \right)
F_{3}\! \left(x \right) = x
F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{5}\! \left(x \right)+F_{81}\! \left(x \right)
F_{5}\! \left(x \right) = F_{3}\! \left(x \right) F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{1}\! \left(x \right)+F_{7}\! \left(x \right)+F_{76}\! \left(x \right)+F_{79}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{9}\! \left(x , y_{0}\right)
F_{9}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{10}\! \left(x , y_{0}\right)+F_{12}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)+F_{72}\! \left(x , y_{0}\right)
F_{10}\! \left(x , y_{0}\right) = F_{11}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{11}\! \left(x , y_{0}\right) = -\frac{-F_{9}\! \left(x , y_{0}\right) y_{0}+F_{9}\! \left(x , 1\right)}{-1+y_{0}}
F_{12}\! \left(x , y_{0}\right) = F_{13}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{13}\! \left(x , y_{0}\right) = -\frac{-F_{14}\! \left(x , y_{0}\right) y_{0}+F_{14}\! \left(x , 1\right)}{-1+y_{0}}
F_{14}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{15}\! \left(x , y_{0}\right)+F_{15}\! \left(x , 1\right)}{-1+y_{0}}
F_{15}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{16}\! \left(x , y_{0}\right)+F_{17}\! \left(x , y_{0}\right)+F_{8}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{14}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{17}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{19}\! \left(x , y_{0}\right)
F_{18}\! \left(x , y_{0}\right) = y_{0} x
F_{19}\! \left(x , y_{0}\right) = F_{20}\! \left(x , 1, y_{0}\right)
F_{20}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{21}\! \left(x , y_{0} y_{1}\right) y_{0}+F_{21}\! \left(x , y_{1}\right)}{-1+y_{0}}
F_{21}\! \left(x , y_{0}\right) = -\frac{-F_{22}\! \left(x , y_{0}\right) y_{0}+F_{22}\! \left(x , 1\right)}{-1+y_{0}}
F_{22}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{23}\! \left(x , y_{0}\right)+F_{71}\! \left(x , y_{0}\right)
F_{23}\! \left(x , y_{0}\right) = F_{24}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{24}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)+F_{70}\! \left(x , y_{0}\right)
F_{25}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{26}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)+F_{66}\! \left(x , y_{0}\right)+F_{69}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{3}\! \left(x \right)
F_{28}\! \left(x , y_{0}\right) = F_{29}\! \left(x , 1, y_{0}\right)
F_{29}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{30}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{30}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{30}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}\right)+F_{33}\! \left(x , y_{0}, y_{1}\right)+F_{42}\! \left(x , y_{0}, y_{1}\right)+F_{65}\! \left(x , y_{1}, y_{0}\right)
F_{31}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{32}\! \left(x , y_{0}, y_{1}\right)
F_{32}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{30}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{30}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{33}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{34}\! \left(x , y_{0}, y_{1}\right)
F_{34}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{35}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{35}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{35}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{31}\! \left(x , y_{0}, y_{1}\right)+F_{33}\! \left(x , y_{0}, y_{1}\right)+F_{36}\! \left(x , y_{0}, y_{1}\right)+F_{41}\! \left(x , y_{1}, y_{0}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{37}\! \left(x , y_{0}, y_{1}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = F_{38}\! \left(x , 1, y_{0}, y_{1}\right)
F_{38}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{-F_{39}\! \left(x , y_{0} y_{1}, y_{2}\right) y_{0}+F_{39}\! \left(x , y_{1}, y_{2}\right)}{-1+y_{0}}
F_{39}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{40}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{40}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{40}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{22}\! \left(x , y_{0}\right) y_{0}-F_{22}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{41}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{39}\! \left(x , y_{1}, y_{0}\right)
F_{42}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{44}\! \left(x , y_{0}, 1\right) y_{0}-F_{44}\! \left(x , y_{0}, \frac{y_{1}}{y_{0}}\right) y_{1}}{-y_{1}+y_{0}}
F_{44}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{45}\! \left(x , y_{0}, y_{1}\right) = F_{1}\! \left(x \right)+F_{46}\! \left(x , y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{0}, y_{1}\right)+F_{60}\! \left(x , y_{0}, y_{1}\right)+F_{64}\! \left(x , y_{1}\right)
F_{46}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{47}\! \left(x , y_{0}, y_{1}\right)
F_{47}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{26}\! \left(x , y_{0}\right) y_{0}-F_{26}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{3}\! \left(x \right) F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{50}\! \left(x , y_{0}\right) y_{0}-F_{50}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{50}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{27}\! \left(x , y_{0}\right)+F_{51}\! \left(x , y_{0}\right)+F_{54}\! \left(x , y_{0}\right)+F_{58}\! \left(x , y_{0}\right)
F_{51}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{52}\! \left(x , y_{0}\right)
F_{52}\! \left(x , y_{0}\right) = F_{53}\! \left(x , 1, y_{0}\right)
F_{53}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{35}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{35}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{54}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{55}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , 1, y_{0}\right)
F_{56}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{57}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{57}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{57}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{40}\! \left(x , y_{0}, y_{1}\right) y_{0}+F_{40}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{58}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{59}\! \left(x , y_{0}\right)
F_{59}\! \left(x , y_{0}\right) = F_{57}\! \left(x , 1, y_{0}\right)
F_{60}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{61}\! \left(x , y_{0}, y_{1}\right)
F_{61}\! \left(x , y_{0}, y_{1}\right) = \frac{F_{62}\! \left(x , y_{0}\right) y_{0}-F_{62}\! \left(x , y_{1}\right) y_{1}}{-y_{1}+y_{0}}
F_{62}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{25}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)+F_{64}\! \left(x , y_{0}\right)
F_{63}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{50}\! \left(x , y_{0}\right)
F_{64}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{21}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}, y_{1}\right) = F_{18}\! \left(x , y_{0}\right) F_{45}\! \left(x , y_{1}, y_{0}\right)
F_{66}\! \left(x , y_{0}\right) = F_{3}\! \left(x \right) F_{67}\! \left(x , y_{0}\right)
F_{67}\! \left(x , y_{0}\right) = -\frac{-F_{68}\! \left(x , y_{0}\right) y_{0}+F_{68}\! \left(x , 1\right)}{-1+y_{0}}
F_{68}\! \left(x , y_{0}\right) = F_{45}\! \left(x , 1, y_{0}\right)
F_{69}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{68}\! \left(x , y_{0}\right)
F_{70}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{62}\! \left(x , y_{0}\right)
F_{71}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{22}\! \left(x , y_{0}\right)
F_{72}\! \left(x , y_{0}\right) = F_{18}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}\right)
F_{73}\! \left(x , y_{0}\right) = F_{74}\! \left(x , 1, y_{0}\right)
F_{74}\! \left(x , y_{0}, y_{1}\right) = -\frac{F_{75}\! \left(x , 1, y_{1}\right) y_{1}-F_{75}\! \left(x , \frac{y_{0}}{y_{1}}, y_{1}\right) y_{0}}{-y_{1}+y_{0}}
F_{75}\! \left(x , y_{0}, y_{1}\right) = F_{45}\! \left(x , y_{0} y_{1}, y_{1}\right)
F_{76}\! \left(x \right) = F_{3}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x , 1\right)
F_{78}\! \left(x , y_{0}\right) = -\frac{-y_{0} F_{15}\! \left(x , y_{0}\right)+F_{15}\! \left(x , 1\right)}{-1+y_{0}}
F_{79}\! \left(x \right) = F_{3}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{68}\! \left(x , 1\right)
F_{81}\! \left(x \right) = F_{3}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{15}\! \left(x , 1\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x)*F_4(x))
Eq(F_3(x), x)
Eq(F_4(x), F_1(x) + F_5(x) + F_81(x))
Eq(F_5(x), F_3(x)*F_6(x))
Eq(F_6(x), F_1(x) + F_7(x) + F_76(x) + F_79(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_3(x)*F_9(x, k_0))
Eq(F_9(x, k_0), F_1(x) + F_10(x, k_0) + F_12(x, k_0) + F_66(x, k_0) + F_72(x, k_0))
Eq(F_10(x, k_0), F_11(x, k_0)*F_3(x))
Eq(F_11(x, k_0), (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_12(x, k_0), F_13(x, k_0)*F_3(x))
Eq(F_13(x, k_0), (k_0*F_14(x, k_0) - F_14(x, 1))/(k_0 - 1))
Eq(F_14(x, k_0), (k_0*F_15(x, k_0) - F_15(x, 1))/(k_0 - 1))
Eq(F_15(x, k_0), F_1(x) + F_16(x, k_0) + F_17(x, k_0) + F_8(x, k_0))
Eq(F_16(x, k_0), F_14(x, k_0)*F_3(x))
Eq(F_17(x, k_0), F_18(x, k_0)*F_19(x, k_0))
Eq(F_18(x, k_0), k_0*x)
Eq(F_19(x, k_0), F_20(x, 1, k_0))
Eq(F_20(x, k_0, k_1), (-k_0*k_1*F_21(x, k_0*k_1) + k_1*F_21(x, k_1))/(-k_0*k_1 + k_1))
Eq(F_21(x, k_0), (k_0*F_22(x, k_0) - F_22(x, 1))/(k_0 - 1))
Eq(F_22(x, k_0), F_1(x) + F_23(x, k_0) + F_71(x, k_0))
Eq(F_23(x, k_0), F_24(x, k_0)*F_3(x))
Eq(F_24(x, k_0), F_1(x) + F_25(x, k_0) + F_63(x, k_0) + F_70(x, k_0))
Eq(F_25(x, k_0), F_26(x, k_0)*F_3(x))
Eq(F_26(x, k_0), F_1(x) + F_27(x, k_0) + F_51(x, k_0) + F_66(x, k_0) + F_69(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0)*F_3(x))
Eq(F_28(x, k_0), F_29(x, 1, k_0))
Eq(F_29(x, k_0, k_1), (-k_0*F_30(x, k_0, k_1) + F_30(x, 1, k_1))/(1 - k_0))
Eq(F_30(x, k_0, k_1), F_1(x) + F_31(x, k_0, k_1) + F_33(x, k_0, k_1) + F_42(x, k_0, k_1) + F_65(x, k_1, k_0))
Eq(F_31(x, k_0, k_1), F_3(x)*F_32(x, k_0, k_1))
Eq(F_32(x, k_0, k_1), (k_0*F_30(x, k_0, k_1) - F_30(x, 1, k_1))/(k_0 - 1))
Eq(F_33(x, k_0, k_1), F_3(x)*F_34(x, k_0, k_1))
Eq(F_34(x, k_0, k_1), (k_0*F_35(x, k_0, k_1) - F_35(x, 1, k_1))/(k_0 - 1))
Eq(F_35(x, k_0, k_1), F_1(x) + F_31(x, k_0, k_1) + F_33(x, k_0, k_1) + F_36(x, k_0, k_1) + F_41(x, k_1, k_0))
Eq(F_36(x, k_0, k_1), F_18(x, k_0)*F_37(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), F_38(x, 1, k_0, k_1))
Eq(F_38(x, k_0, k_1, k_2), (-k_0*k_1*F_39(x, k_0*k_1, k_2) + k_1*F_39(x, k_1, k_2))/(-k_0*k_1 + k_1))
Eq(F_39(x, k_0, k_1), (k_0*F_40(x, k_0, k_1) - F_40(x, 1, k_1))/(k_0 - 1))
Eq(F_40(x, k_0, k_1), (-k_0*F_22(x, k_0) + k_1*F_22(x, k_1))/(-k_0 + k_1))
Eq(F_41(x, k_0, k_1), F_18(x, k_0)*F_39(x, k_1, k_0))
Eq(F_42(x, k_0, k_1), F_18(x, k_0)*F_43(x, k_0, k_1))
Eq(F_43(x, k_0, k_1), (-k_0*F_44(x, k_0, 1) + k_1*F_44(x, k_0, k_1/k_0))/(-k_0 + k_1))
Eq(F_44(x, k_0, k_1), F_45(x, k_0, k_0*k_1))
Eq(F_45(x, k_0, k_1), F_1(x) + F_46(x, k_0, k_1) + F_48(x, k_0, k_1) + F_60(x, k_0, k_1) + F_64(x, k_1))
Eq(F_46(x, k_0, k_1), F_3(x)*F_47(x, k_0, k_1))
Eq(F_47(x, k_0, k_1), (-k_0*F_26(x, k_0) + k_1*F_26(x, k_1))/(-k_0 + k_1))
Eq(F_48(x, k_0, k_1), F_3(x)*F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), (-k_0*F_50(x, k_0) + k_1*F_50(x, k_1))/(-k_0 + k_1))
Eq(F_50(x, k_0), F_1(x) + F_27(x, k_0) + F_51(x, k_0) + F_54(x, k_0) + F_58(x, k_0))
Eq(F_51(x, k_0), F_3(x)*F_52(x, k_0))
Eq(F_52(x, k_0), F_53(x, 1, k_0))
Eq(F_53(x, k_0, k_1), (-k_0*F_35(x, k_0, k_1) + F_35(x, 1, k_1))/(1 - k_0))
Eq(F_54(x, k_0), F_3(x)*F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, 1, k_0))
Eq(F_56(x, k_0, k_1), (-k_0*F_57(x, k_0, k_1) + F_57(x, 1, k_1))/(1 - k_0))
Eq(F_57(x, k_0, k_1), (-k_0*F_40(x, k_0, k_1) + F_40(x, 1, k_1))/(1 - k_0))
Eq(F_58(x, k_0), F_18(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_57(x, 1, k_0))
Eq(F_60(x, k_0, k_1), F_18(x, k_0)*F_61(x, k_0, k_1))
Eq(F_61(x, k_0, k_1), (-k_0*F_62(x, k_0) + k_1*F_62(x, k_1))/(-k_0 + k_1))
Eq(F_62(x, k_0), F_1(x) + F_25(x, k_0) + F_63(x, k_0) + F_64(x, k_0))
Eq(F_63(x, k_0), F_3(x)*F_50(x, k_0))
Eq(F_64(x, k_0), F_18(x, k_0)*F_21(x, k_0))
Eq(F_65(x, k_0, k_1), F_18(x, k_0)*F_45(x, k_1, k_0))
Eq(F_66(x, k_0), F_3(x)*F_67(x, k_0))
Eq(F_67(x, k_0), (k_0*F_68(x, k_0) - F_68(x, 1))/(k_0 - 1))
Eq(F_68(x, k_0), F_45(x, 1, k_0))
Eq(F_69(x, k_0), F_18(x, k_0)*F_68(x, k_0))
Eq(F_70(x, k_0), F_18(x, k_0)*F_62(x, k_0))
Eq(F_71(x, k_0), F_18(x, k_0)*F_22(x, k_0))
Eq(F_72(x, k_0), F_18(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_74(x, 1, k_0))
Eq(F_74(x, k_0, k_1), (-k_0*F_75(x, k_0/k_1, k_1) + k_1*F_75(x, 1, k_1))/(-k_0 + k_1))
Eq(F_75(x, k_0, k_1), F_45(x, k_0*k_1, k_1))
Eq(F_76(x), F_3(x)*F_77(x))
Eq(F_77(x), F_78(x, 1))
Eq(F_78(x, k_0), (-k_0*F_15(x, k_0) + F_15(x, 1))/(1 - k_0))
Eq(F_79(x), F_3(x)*F_80(x))
Eq(F_80(x), F_68(x, 1))
Eq(F_81(x), F_3(x)*F_82(x))
Eq(F_82(x), F_15(x, 1))
Pack JSON:
{"name": "col_placements_tracked_fusion", "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.fusion.fusion", "strategy_class": "FusionFactory", "tracked": 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}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
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