01243_01342_01432_02341_02431_10243_10342_10432
Counting sequence:
1, 1, 2, 6, 24, 112, 563, 2947, 15837, 86762, 482543, 2716942, 15455752, 88696106, 512867318, 2985205577, 17477133520, 102851027785, 608065740854, 3609881840310, 21511081237509, 128619966319512, 771438346584929, 4640095485890194, 27982430213127708, 169156369969889653, 1024842703697589225, 6221885359218132729, 37846005697338442863, 230618957153546838324, 1407654361439084652049, 8605519873029808532237, 52686149596680594088175, 323010036310050019085628, 1982900937404366538215955, 12187640423219062592623295, 74996783434585995905259395, 462001240352603716382937728, 2849025566627786038376863114, 17586496637636300508593706259, 108660294628836815580557611065, 671972174575670324202308343234, 4159127798694319940088205126371, 25763612735971150419413374189930, 159716170133189896039556421844384, 990863416162314423278892871899110, 6151592976967929065331693945611312, 38217059661774751516754073667136366, 237580405809212097192735237997388505, 1477869793998333521617297254943903125, 9198629823229226007945469712038671905, 57287697714356044979649754698441381377, 356977855001897897543994510592555689656, 2225634375685718738097867967983741292932, 13883228139965797356726141922087482329762, 86644921717075319730343555258257934817735, 541008549246914200638309252290079912762572, 3379607385852252280071633026090178724446323, 21121395079280790004752578087954651663948312, 132058586074877964953995600376201629801074284, 826023055643454366679747000648820573077782912, 5168842182604891156930394483842672565472322329, 32356707930052925345123914281559939301601920740, 202628244244831500474354179014506946557129633973, 1269390143928357643170054787087281972829361010646, 7955085955435398914030826892710035080625553101537, 49870599763258552475755704131317252826251396940936, 312744599356511407617695436997698022083148500376084, 1961897469562481041622573186006168934616028043130116, 12311188682033356467645683687376923108287794954698583, 77278194084634691879636302495966463991299122351743782, 485225377449390195933084595099727844476480728228088393, 3047586465669691945659342201527351134329709149136995814, 19146576102235803048549703364989776656054122485920167089, 120322119027953869834937378906329016550531517773217338947, 756338003341919491026079720915986784413105939632083349701, 4755535599206481358395845724030271658808670989941781959281, 29908394094312387565840484833427644759827217612636309580316, 188145608796717611815067944642887819766002774586710749441241, 1183858265251835233920970988504301762740084753818930044418221, 7450876496184568559154136068526917302502050950875635324263744, 46904503484857652490955570103713250818721433595253320203866196, 295337660812060615245426259927181620601024142649509251869024287, 1860021224739366110708402504064885023173914193584444212765412915, 11716813182208694496949546251162848930469545062608226118881747897, 73822964410495156020810170237576479331863748988854904217105782431, 465223596451718070659700451531745309221817986336474817498994497214, 2932366484475285973381996415630562018546460200319698125320020569491, 18486686135932442410250950551497999741917968830238787247796535988705, 116568796105565086351786704631475652708061770237361008336637996916539, 735167253385466886010298427958773118209055196679820763879918299978163, 4637338872955708166851253053257390443375974173987981666315743815645946, 29256922578893623674073118363385291549774836827280814764812178337675132, 184613701912890162272746059551388241254782716215543900342342468386684691, 1165126552857161841207866739322435296774728427118275618526311477451916150, 7354524524694347132844154165296559851163610898604781570077518987385288082, 46430881913344400700855396851361934084185273153980327456547720172550988129, 293176153435297840383152247832496427997309168276612239641212213002565355888, 1851476992991076803523706001034110397703397024857901654488094936004565332072, 11694309869680190693502933892677871901315984274602438492816905920747125503602, 73874771208352047024685301845116041268908170077439954810487972716526860637197
Implicit equation for the generating function in Maple syntax:
x^3*(5*x-1)*(x-1)^3*F(x)^6+x^2*(8*x^3-25*x^2+32*x-7)*(x-1)^2*F(x)^5-x*(x-1)*(4*x^5-28*x^4+55*x^3-20*x^2-22*x+7)*F(x)^4+(x-1)*(8*x^5-20*x^4+61*x^3-79*x^2+17*x+1)*F(x)^3+(-4*x^6+23*x^5-74*x^4+129*x^3-89*x^2+11*x+3)*F(x)^2+(2*x^5+9*x^4-40*x^3+35*x^2-2*x-3)*F(x)-(x-1)*(x^4-x^3-5*x^2+x+1) = 0
Implicit equation for the generating function in latex syntax:
x^{3} \left(5 x -1\right) \left(x -1\right)^{3} F \! \left(x \right)^{6}+x^{2} \left(8 x^{3}-25 x^{2}+32 x -7\right) \left(x -1\right)^{2} F \! \left(x \right)^{5}-x \left(x -1\right) \left(4 x^{5}-28 x^{4}+55 x^{3}-20 x^{2}-22 x +7\right) F \! \left(x \right)^{4}+\left(x -1\right) \left(8 x^{5}-20 x^{4}+61 x^{3}-79 x^{2}+17 x +1\right) F \! \left(x \right)^{3}+\left(-4 x^{6}+23 x^{5}-74 x^{4}+129 x^{3}-89 x^{2}+11 x +3\right) F \! \left(x \right)^{2}+\left(2 x^{5}+9 x^{4}-40 x^{3}+35 x^{2}-2 x -3\right) F \! \left(x \right)-\left(x -1\right) \left(x^{4}-x^{3}-5 x^{2}+x +1\right) = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 112
a(6) = 563
a(7) = 2947
a(8) = 15837
a(9) = 86762
a(10) = 482543
a(11) = 2716942
a(12) = 15455752
a(13) = 88696106
a(14) = 512867318
a(15) = 2985205577
a(16) = 17477133520
a(17) = 102851027785
a(18) = 608065740854
a(19) = 3609881840310
a(20) = 21511081237509
a(21) = 128619966319512
a(22) = 771438346584929
a(23) = 4640095485890194
a(24) = 27982430213127708
a(25) = 169156369969889653
a(26) = 1024842703697589225
a(27) = 6221885359218132729
a(28) = 37846005697338442863
a(29) = 230618957153546838324
a(30) = 1407654361439084652049
a(31) = 8605519873029808532237
a(32) = 52686149596680594088175
a(33) = 323010036310050019085628
a(34) = 1982900937404366538215955
a(35) = 12187640423219062592623295
a(36) = 74996783434585995905259395
a(37) = 462001240352603716382937728
a(38) = 2849025566627786038376863114
a(39) = 17586496637636300508593706259
a(40) = 108660294628836815580557611065
a(41) = 671972174575670324202308343234
a(42) = 4159127798694319940088205126371
a(43) = 25763612735971150419413374189930
a(44) = 159716170133189896039556421844384
a(45) = 990863416162314423278892871899110
a(46) = 6151592976967929065331693945611312
a(47) = 38217059661774751516754073667136366
a(48) = 237580405809212097192735237997388505
a(49) = 1477869793998333521617297254943903125
a(50) = 9198629823229226007945469712038671905
a(51) = 57287697714356044979649754698441381377
a(52) = 356977855001897897543994510592555689656
a(53) = 2225634375685718738097867967983741292932
a(54) = 13883228139965797356726141922087482329762
a(55) = 86644921717075319730343555258257934817735
a(56) = 541008549246914200638309252290079912762572
a(57) = 3379607385852252280071633026090178724446323
a(58) = 21121395079280790004752578087954651663948312
a(59) = 132058586074877964953995600376201629801074284
a(60) = 826023055643454366679747000648820573077782912
a(61) = 5168842182604891156930394483842672565472322329
a(62) = 32356707930052925345123914281559939301601920740
a(63) = 202628244244831500474354179014506946557129633973
a(64) = 1269390143928357643170054787087281972829361010646
a(65) = 7955085955435398914030826892710035080625553101537
a(66) = 49870599763258552475755704131317252826251396940936
a(67) = 312744599356511407617695436997698022083148500376084
a(68) = 1961897469562481041622573186006168934616028043130116
a(69) = 12311188682033356467645683687376923108287794954698583
a(70) = 77278194084634691879636302495966463991299122351743782
a(71) = 485225377449390195933084595099727844476480728228088393
a(72) = 3047586465669691945659342201527351134329709149136995814
a(73) = 19146576102235803048549703364989776656054122485920167089
a(74) = 120322119027953869834937378906329016550531517773217338947
a(75) = 756338003341919491026079720915986784413105939632083349701
a(76) = 4755535599206481358395845724030271658808670989941781959281
a(77) = 29908394094312387565840484833427644759827217612636309580316
a(78) = 188145608796717611815067944642887819766002774586710749441241
a(79) = 1183858265251835233920970988504301762740084753818930044418221
a(80) = 7450876496184568559154136068526917302502050950875635324263744
a(81) = 46904503484857652490955570103713250818721433595253320203866196
a(82) = 295337660812060615245426259927181620601024142649509251869024287
a(83) = 1860021224739366110708402504064885023173914193584444212765412915
a(84) = 11716813182208694496949546251162848930469545062608226118881747897
a(85) = 73822964410495156020810170237576479331863748988854904217105782431
a(n+86) = 156982445452264000/4429*n*(2*n+3)*(2*n+1)*(n+2)*(n+1)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n)-1/35432*(395052641*n^2+64623210268*n+2642783514702)/(n+87)/(n+86)*a(n+84)+1/4535296*(121887959019459932821413029827886468834451*n^5+22482883537278420121147085464943322470430780*n^4+1658634824754455978043536483090230483223867485*n^3+61174241218818784048524085083247786663852826760*n^2+1127994527755550047420293343506905199498400632164*n+8318740954671769408620387582679418114344064020560)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+37)-1/4535296*(99533252267390283192351746788259603212471*n^5+18789956500424839288788186187355843096650775*n^4+1418603935947129114154063315770006657915938535*n^3+53540836770278877993943962812240288497680907945*n^2+1010179681828343158636139467701479391943074213194*n+7622413995730221067706587912482320245638353819160)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+38)-1/4535296*(142618163251708302095245487181561775876186*n^5+24385439217413663298402335728697252250563945*n^4+1667774027164005901868375423516313796066999300*n^3+57030384828995962274456090949996794027589326935*n^2+975078252143481766323530151902895308663552072194*n+6668502477591022818525589758404230082089434882360)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+34)+1/4535296*(145525247972457598440526820477697183287643*n^5+25543763959307543318033814811686634771495975*n^4+1793381895232251172847715851384239651493385935*n^3+62952608456383705270999487537911225599221304785*n^2+1104865677394750241904835758392794393877876904982*n+7756250185243028635570701540583881671895679913640)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+35)-1/2267648*(69094475397922585913295283480881129192723*n^5+12438797972855565198867227262760127274621335*n^4+895655574074020995051693900890061201300061515*n^3+32243553009425072068068110743548833381147896105*n^2+580344337242395803211375358730839956717940682002*n+4177932510266421061631750093443635749901556625280)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+36)+10258466825/17716*(n+2)*(381419694809*n^4+4633588079352*n^3+21162955383971*n^2+42952978679068*n+32613881956320)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+2)+1/2267648*(36574931729397729651*n^5+14194597949894043113915*n^4+2203290165249775023026585*n^3+170977967776048578521061085*n^2+6633294167381090469592143664*n+102927110993518782762998186100)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+77)-1/4535296*(8181294640357616303*n^5+3189615950674479106430*n^4+497402191573395023971305*n^3+38782874619724970935992370*n^2+1511942762103147649369126792*n+23576742223155303885577619280)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+78)+5/4535296*(131442881921827141*n^5+51709790897537190115*n^4+8136974814760142383181*n^3+640203109313033033294597*n^2+25184731568061594461967654*n+396288731317038211882009440)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+79)-1/2267648*(20599474981379051*n^5+8188332625589723405*n^4+1301923457215011219345*n^3+103499022055729161159865*n^2+4113845849165443192643194*n+65404992145469097734349840)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+80)+1/1133824*(512078889394913*n^5+205783102316290895*n^4+33077203699393541410*n^3+2658301689151889163865*n^2+106815997060707638192127*n+1716781482300794329776330)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+81)-1/566912*(9990987815726*n^4+3230625785455282*n^3+391729932622225774*n^2+21110333607412748723*n+426604667391774602190)/(n+85)/(n+84)/(n+87)/(n+86)*a(n+82)-120687845/35432*(1281597601517221*n^5+24272854148157442*n^4+183953524476031945*n^3+696296123444436680*n^2+1314700983013188844*n+989512030438199328)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+3)+120687845/283456*(158012486822025767*n^5+3769786625924545450*n^4+36020318555542770777*n^3+172144427740153864478*n^2+411144734989165664920*n+392308766193667068768)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+4)-7099285/1133824*(136676040346137104339*n^5+3942974205752360448968*n^4+45555438342926264751197*n^3+263326203158090664146908*n^2+761117274011070406167668*n+879616358098065581843520)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+5)+1419857/1133824*(7384840421301939539749*n^5+250002873393235572701555*n^4+3388481040713666339677125*n^3+22975786030123473288400705*n^2+77909833329367855963364546*n+105663527876365088887559640)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+6)-83521/4535296*(4679456578199769946260989*n^5+181681138496371460898798240*n^4+2823289214927852615361557655*n^3+21945492378693423607149844080*n^2+85307801822687698790600167636*n+132644999696034201997157801280)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+7)+83521/4535296*(37921362059453590464167244*n^5+1658677645582947978083340935*n^4+29032255426291129098234310270*n^3+254152868077768207905869069965*n^2+1112631860799628594246895774786*n+1948450552013680265266303297800)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+8)-4913/4535296*(4569231118305217710877118441*n^5+222012865753681235973038048865*n^4+4316134596293726019565086586405*n^3+41963736800703835373807117438955*n^2+204026435204541196044792983494014*n+396819579889127374647299952573240)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+9)+4913/1133824*(7112478986110772419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1624613766081002630871240)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+61)+5/4535296*(569794063148704151552464417064428*n^5+175762906370488020922234645105877017*n^4+21685193256557416696632112169335889290*n^3+1337628612998850631521816801765609136211*n^2+41251843784521921682721412779706607652022*n+508833952600666326855765192442499529995400)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+62)-1/4535296*(659158577457475255431559661542853*n^5+206429044365851343519540897390128705*n^4+25856896506826216176596680503811282485*n^3+1619258139223186055839240315948214658175*n^2+50697814127856658790010262081109478707062*n+634870511071070856076087656460533076612320)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+63)-1/4535296*(150257725191046826571095705232451401*n^5+44230752788725702833948895912532378000*n^4+5207655729386557325277165435137535111355*n^3+306549084383847293114942721795621049764580*n^2+9021878598061226015732313856165494161086664*n+106199500610213181922384476879039287524668000)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+59)+1/4535296*(42949206023114893815156822038450623*n^5+12844461129458006230160537740949820925*n^4+1536407021193444801135415375397902769495*n^3+91883122110456859455134300909798633911175*n^2+2747284636081555728875208640176606587664222*n+32854841513160256235992745998334843210603040)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+60)+1/4535296*(4287289750576506115089053287377166871*n^5+1201960954201931342751550554647530407965*n^4+134780404581360408737866600343141562991075*n^3+7556163635612413227130206278200477972894615*n^2+211793904898332084590138582849411797470570714*n+2374391546805984871151427208458102619837239840)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+56)-5/1133824*(75026470150517569923138599255634878*n^5+21383111808980929124686971346061331945*n^4+2437572250170720292978063123864757255067*n^3+138926036761336946225020220396003567328807*n^2+3958664397991206591733125283238979053698729*n+45117176496963700410218221407776755170696414)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+57)+5/2267648*(49110263725029750880044170164202839*n^5+14226250762676524817723741487987520480*n^4+1648311523743387257082153333911548594951*n^3+95483462719225479997791721420246768339634*n^2+2765390154503375004948000471129367979029888*n+32034162521832484761944671083763075618995120)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+58)-1/4535296*(11453660228655844288006666568956700361*n^5+3158087160988110426428279401822251315740*n^4+348281386903868994051547924669748617422595*n^3+19203131625545340707157772716563750569103140*n^2+529357132105377635630523469620414609182938964*n+5836461748384404148568369118535102611354516480)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+55)+1/4535296*(28594296738867505148556624538177996389*n^5+7752921926425732604454488926952294748865*n^4+840762773829026763038544357616649867173905*n^3+45584049364104147346577246835062641063192175*n^2+1235614396660197174773245519710405728976796026*n+13395930541153610884451310687453108495595443840)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+54)+1/566912*(18078241652327828769240921401980771459*n^5+4738583710939934713658370076312314596625*n^4+496758470732866576175123013486420205004495*n^3+26034892879286038669095163230106327306520295*n^2+682149413443226373183122796986643873487243101*n+7148350099715168219030177293431491177226771675)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+52)-1/4535296*(66630556611328405670078015957397666999*n^5+17763130662544788978954180145276868242540*n^4+1894003642006817789694339098220044688974765*n^3+100964025340884207232132987297129091743429580*n^2+2690768574078789269701698957112046358364517956*n+28681320944972890972959857802347637241755342720)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+53)-1/4535296*(291458396964171530519791249071445157657*n^5+75119998619261239479748130321268491448665*n^4+7743216066256370869276209633293173074312345*n^3+399009971258823512212477858386826566277878055*n^2+10278799896349548400234707400709066877394917838*n+105897830740220649475192514486523342153655226280)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+51)-1/4535296*(924378439442025775173296748474162460726*n^5+230669904291123369799910907486060699677475*n^4+23016375696055676249656380151059011829018160*n^3+1147890325061726649121350621557003117180539005*n^2+28614339707320980505673429980253351786514797794*n+285219494726291875545141286298548024601932191360)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+49)+5/4535296*(108494642007409284643902742054621730900*n^5+27504876417391631530336205112896058407501*n^4+2788486309391869735597046310226776710883394*n^3+141317291461735059308168876172566622047368351*n^2+3580062134112740717630260959874805001611231310*n+36269764777644114232656846783560659447141514376)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+50)+1/4535296*(1419758868091904615053662700603048643568*n^5+349299939329577756719351373111798166237625*n^4+34354452637391112261065065725846232411433130*n^3+1688442822479242306662825449692616510001225295*n^2+41468289477308522109446808913486773650002095222*n+407164065136582581814684936002026768369717195880)/(n+85)/(n+84)/(n+83)/(n+87)/(n+86)*a(n+48), n >= 86
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 112
a(6) = 563
a(7) = 2947
a(8) = 15837
a(9) = 86762
a(10) = 482543
a(11) = 2716942
a(12) = 15455752
a(13) = 88696106
a(14) = 512867318
a(15) = 2985205577
a(16) = 17477133520
a(17) = 102851027785
a(18) = 608065740854
a(19) = 3609881840310
a(20) = 21511081237509
a(21) = 128619966319512
a(22) = 771438346584929
a(23) = 4640095485890194
a(24) = 27982430213127708
a(25) = 169156369969889653
a(26) = 1024842703697589225
a(27) = 6221885359218132729
a(28) = 37846005697338442863
a(29) = 230618957153546838324
a(30) = 1407654361439084652049
a(31) = 8605519873029808532237
a(32) = 52686149596680594088175
a(33) = 323010036310050019085628
a(34) = 1982900937404366538215955
a(35) = 12187640423219062592623295
a(36) = 74996783434585995905259395
a(37) = 462001240352603716382937728
a(38) = 2849025566627786038376863114
a(39) = 17586496637636300508593706259
a(40) = 108660294628836815580557611065
a(41) = 671972174575670324202308343234
a(42) = 4159127798694319940088205126371
a(43) = 25763612735971150419413374189930
a(44) = 159716170133189896039556421844384
a(45) = 990863416162314423278892871899110
a(46) = 6151592976967929065331693945611312
a(47) = 38217059661774751516754073667136366
a(48) = 237580405809212097192735237997388505
a(49) = 1477869793998333521617297254943903125
a(50) = 9198629823229226007945469712038671905
a(51) = 57287697714356044979649754698441381377
a(52) = 356977855001897897543994510592555689656
a(53) = 2225634375685718738097867967983741292932
a(54) = 13883228139965797356726141922087482329762
a(55) = 86644921717075319730343555258257934817735
a(56) = 541008549246914200638309252290079912762572
a(57) = 3379607385852252280071633026090178724446323
a(58) = 21121395079280790004752578087954651663948312
a(59) = 132058586074877964953995600376201629801074284
a(60) = 826023055643454366679747000648820573077782912
a(61) = 5168842182604891156930394483842672565472322329
a(62) = 32356707930052925345123914281559939301601920740
a(63) = 202628244244831500474354179014506946557129633973
a(64) = 1269390143928357643170054787087281972829361010646
a(65) = 7955085955435398914030826892710035080625553101537
a(66) = 49870599763258552475755704131317252826251396940936
a(67) = 312744599356511407617695436997698022083148500376084
a(68) = 1961897469562481041622573186006168934616028043130116
a(69) = 12311188682033356467645683687376923108287794954698583
a(70) = 77278194084634691879636302495966463991299122351743782
a(71) = 485225377449390195933084595099727844476480728228088393
a(72) = 3047586465669691945659342201527351134329709149136995814
a(73) = 19146576102235803048549703364989776656054122485920167089
a(74) = 120322119027953869834937378906329016550531517773217338947
a(75) = 756338003341919491026079720915986784413105939632083349701
a(76) = 4755535599206481358395845724030271658808670989941781959281
a(77) = 29908394094312387565840484833427644759827217612636309580316
a(78) = 188145608796717611815067944642887819766002774586710749441241
a(79) = 1183858265251835233920970988504301762740084753818930044418221
a(80) = 7450876496184568559154136068526917302502050950875635324263744
a(81) = 46904503484857652490955570103713250818721433595253320203866196
a(82) = 295337660812060615245426259927181620601024142649509251869024287
a(83) = 1860021224739366110708402504064885023173914193584444212765412915
a(84) = 11716813182208694496949546251162848930469545062608226118881747897
a(85) = 73822964410495156020810170237576479331863748988854904217105782431
a{\left(n + 86 \right)} = \frac{156982445452264000 n \left(n + 1\right) \left(n + 2\right) \left(2 n + 1\right) \left(2 n + 3\right) a{\left(n \right)}}{4429 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{82067734600 \left(n + 1\right) \left(n + 2\right) \left(2 n + 3\right) \left(209409661 n^{2} + 1048246083 n + 1339003020\right) a{\left(n + 1 \right)}}{4429 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{10258466825 \left(n + 2\right) \left(381419694809 n^{4} + 4633588079352 n^{3} + 21162955383971 n^{2} + 42952978679068 n + 32613881956320\right) a{\left(n + 2 \right)}}{17716 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{9 \left(299489 n + 24639503\right) a{\left(n + 85 \right)}}{17716 \left(n + 87\right)} - \frac{\left(395052641 n^{2} + 64623210268 n + 2642783514702\right) a{\left(n + 84 \right)}}{35432 \left(n + 86\right) \left(n + 87\right)} + \frac{\left(148323459932 n^{3} + 36181602439896 n^{2} + 2941978771696699 n + 79737974189487870\right) a{\left(n + 83 \right)}}{283456 \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(9990987815726 n^{4} + 3230625785455282 n^{3} + 391729932622225774 n^{2} + 21110333607412748723 n + 426604667391774602190\right) a{\left(n + 82 \right)}}{566912 \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(512078889394913 n^{5} + 205783102316290895 n^{4} + 33077203699393541410 n^{3} + 2658301689151889163865 n^{2} + 106815997060707638192127 n + 1716781482300794329776330\right) a{\left(n + 81 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{120687845 \left(1281597601517221 n^{5} + 24272854148157442 n^{4} + 183953524476031945 n^{3} + 696296123444436680 n^{2} + 1314700983013188844 n + 989512030438199328\right) a{\left(n + 3 \right)}}{35432 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(20599474981379051 n^{5} + 8188332625589723405 n^{4} + 1301923457215011219345 n^{3} + 103499022055729161159865 n^{2} + 4113845849165443192643194 n + 65404992145469097734349840\right) a{\left(n + 80 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{5 \left(131442881921827141 n^{5} + 51709790897537190115 n^{4} + 8136974814760142383181 n^{3} + 640203109313033033294597 n^{2} + 25184731568061594461967654 n + 396288731317038211882009440\right) a{\left(n + 79 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{120687845 \left(158012486822025767 n^{5} + 3769786625924545450 n^{4} + 36020318555542770777 n^{3} + 172144427740153864478 n^{2} + 411144734989165664920 n + 392308766193667068768\right) a{\left(n + 4 \right)}}{283456 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(8181294640357616303 n^{5} + 3189615950674479106430 n^{4} + 497402191573395023971305 n^{3} + 38782874619724970935992370 n^{2} + 1511942762103147649369126792 n + 23576742223155303885577619280\right) a{\left(n + 78 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{5 \left(28586212559559063249 n^{5} + 11461989139251996552653 n^{4} + 1832896655201469830367047 n^{3} + 146159938237637881291487905 n^{2} + 5813539239179685433298256406 n + 92290989406133095997522010936\right) a{\left(n + 76 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(36574931729397729651 n^{5} + 14194597949894043113915 n^{4} + 2203290165249775023026585 n^{3} + 170977967776048578521061085 n^{2} + 6633294167381090469592143664 n + 102927110993518782762998186100\right) a{\left(n + 77 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{7099285 \left(136676040346137104339 n^{5} + 3942974205752360448968 n^{4} + 45555438342926264751197 n^{3} + 263326203158090664146908 n^{2} + 761117274011070406167668 n + 879616358098065581843520\right) a{\left(n + 5 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(4889013199596118100787 n^{5} + 1730536213936007785699665 n^{4} + 244206610687995320200710235 n^{3} + 17166487425715188311061324255 n^{2} + 600809165312067254167941354218 n + 8370469613638147027467039093960\right) a{\left(n + 75 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{1419857 \left(7384840421301939539749 n^{5} + 250002873393235572701555 n^{4} + 3388481040713666339677125 n^{3} + 22975786030123473288400705 n^{2} + 77909833329367855963364546 n + 105663527876365088887559640\right) a{\left(n + 6 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(140648905434228200561701 n^{5} + 50647387307072286230422250 n^{4} + 7290234204999087372352577175 n^{3} + 524305525587522487332371854630 n^{2} + 18839501193309052123340925956084 n + 270563019802678934266670274440760\right) a{\left(n + 74 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{5 \left(440782655161325035836921 n^{5} + 157714096394260100383611103 n^{4} + 22564100453407866707484627229 n^{3} + 1613509070162189642524040718005 n^{2} + 57666646105631420500668382207070 n + 824065079490908278846378467187632\right) a{\left(n + 73 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{83521 \left(4679456578199769946260989 n^{5} + 181681138496371460898798240 n^{4} + 2823289214927852615361557655 n^{3} + 21945492378693423607149844080 n^{2} + 85307801822687698790600167636 n + 132644999696034201997157801280\right) a{\left(n + 7 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(26652687676403713834835047 n^{5} + 9438430970186822918571230250 n^{4} + 1336620991965447717297468771825 n^{3} + 94617900791738538342192612248550 n^{2} + 3348047412531955073449409002969448 n + 47375048572985364404311354814099520\right) a{\left(n + 72 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{83521 \left(37921362059453590464167244 n^{5} + 1658677645582947978083340935 n^{4} + 29032255426291129098234310270 n^{3} + 254152868077768207905869069965 n^{2} + 1112631860799628594246895774786 n + 1948450552013680265266303297800\right) a{\left(n + 8 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(271066998095923768253958703 n^{5} + 94864980818625230334150975185 n^{4} + 13277277723544657692107433175215 n^{3} + 928953361381808885897211428750695 n^{2} + 32490645536345219859311229505713482 n + 454454089078722084978133158621706800\right) a{\left(n + 71 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(2404936962947460955914849178 n^{5} + 831117122114182039375240831215 n^{4} + 114870682106225957203242875308100 n^{3} + 7936939437465541661453960133455025 n^{2} + 274152496352094020193859000449352722 n + 3787170915116676298924435062475396800\right) a{\left(n + 70 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{4913 \left(4569231118305217710877118441 n^{5} + 222012865753681235973038048865 n^{4} + 4316134596293726019565086586405 n^{3} + 41963736800703835373807117438955 n^{2} + 204026435204541196044792983494014 n + 396819579889127374647299952573240\right) a{\left(n + 9 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{4913 \left(7112478986110772419359946163 n^{5} + 379586775316867766826598717310 n^{4} + 8104789202224360477098744337845 n^{3} + 86538458681699090798216261497585 n^{2} + 462060819259076054870354351095537 n + 986931829470840401811644065054500\right) a{\left(n + 10 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(18988956607785383433625690132 n^{5} + 6476859913586702714440960005485 n^{4} + 883540032229061290124534771793230 n^{3} + 60255274210747365287288251994285395 n^{2} + 2054327720409329490144579085246148358 n + 28011660696125217026384588824928821560\right) a{\left(n + 69 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(135127888623842769773503510057 n^{5} + 45471905711415459808095650737390 n^{4} + 6119935849978359498280940270587335 n^{3} + 411779882821991703608370862185645410 n^{2} + 13851501704111314009046638044421080968 n + 186350666679887171508175155814343728560\right) a{\left(n + 68 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(437118721772125147329303108437 n^{5} + 145074300281885104650898276224960 n^{4} + 19257179186931307637825357804557675 n^{3} + 1277953657236841719370849265519152860 n^{2} + 42399122926385576864593993791151252788 n + 562609434559630673950959737651670447840\right) a{\left(n + 67 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(2587755826281368439300130154669 n^{5} + 846800911810779981921128898323230 n^{4} + 110829376123677179332650422553320095 n^{3} + 7251924068329635977116240405615217330 n^{2} + 237233266813423393198507916341275016056 n + 3103923859898027058613421335991651127060\right) a{\left(n + 66 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{289 \left(2654301937704687955500524249213 n^{5} + 154156370087106538665956037192870 n^{4} + 3581582765673795638605644868547695 n^{3} + 41609873758245291550638228998883930 n^{2} + 241724516374062893695231629456030012 n + 561736238803245804383003232371526960\right) a{\left(n + 11 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{289 \left(12865887416825136102694343068978 n^{5} + 806754982746105956965945502255045 n^{4} + 20234709620437242404058408384932080 n^{3} + 253755954303754698376192032199639795 n^{2} + 1591108032017565935676355122803540902 n + 3990590639981010827388257248858497960\right) a{\left(n + 12 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(28175494840402255688116201623511 n^{5} + 9088244021792290205068274453228135 n^{4} + 1172485790311961949268306557841637255 n^{3} + 75624704210318861372643459898712307505 n^{2} + 2438639204549908203091808596479336577674 n + 31452009748157779634322595712119618010040\right) a{\left(n + 65 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(141609177197801485828193898153241 n^{5} + 45013162709871635066348415374206430 n^{4} + 5722816903550972973457560306400954355 n^{3} + 363757310196397552132156624082637039910 n^{2} + 11559644717937746284245154337588118330024 n + 146925576342222074456167349946543557393520\right) a{\left(n + 64 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{5 \left(569794063148704151552464417064428 n^{5} + 175762906370488020922234645105877017 n^{4} + 21685193256557416696632112169335889290 n^{3} + 1337628612998850631521816801765609136211 n^{2} + 41251843784521921682721412779706607652022 n + 508833952600666326855765192442499529995400\right) a{\left(n + 62 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(659158577457475255431559661542853 n^{5} + 206429044365851343519540897390128705 n^{4} + 25856896506826216176596680503811282485 n^{3} + 1619258139223186055839240315948214658175 n^{2} + 50697814127856658790010262081109478707062 n + 634870511071070856076087656460533076612320\right) a{\left(n + 63 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{17 \left(936456698714966249261528836176659 n^{5} + 62955018042658629833433235198521515 n^{4} + 1692585424136315343224934798776381075 n^{3} + 22748885582880384461902158876026329225 n^{2} + 152848288143602285335190004322890917726 n + 410717830244234972818730179596283940280\right) a{\left(n + 13 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{17 \left(3530835153608107973178519189700201 n^{5} + 252790347953340226500528153549396720 n^{4} + 7235879102736156465589393009401236395 n^{3} + 103508725705833674304872963529031732740 n^{2} + 739970550375537319132096186309589277544 n + 2114903735176481328082802226997055691600\right) a{\left(n + 14 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(11457712748318606216720333897324047 n^{5} + 3480432866539979051609507493528856360 n^{4} + 422860392427117212868111297922313660865 n^{3} + 25686125234131722635508610761267302220080 n^{2} + 780076888550966144210333923112068233356008 n + 9475514663239891291624613766081002630871240\right) a{\left(n + 61 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(17803047083213933831081079303859541 n^{5} + 23422653932906789114583179570916729175 n^{4} + 1768079208363690745359519665512432667560 n^{3} + 51307593666433603639744750747389896372015 n^{2} + 665890603727254614674904112676806670902179 n + 3248753079713548500498519587818025765397180\right) a{\left(n + 19 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{5 \left(27825428971737738897624897579268322 n^{5} + 2207034671797155861820359737644026083 n^{4} + 69859762166840580836058831102565147085 n^{3} + 1102844756712021150930849574458925016578 n^{2} + 8680917718714638498103943681995421538716 n + 27248867236087694994398964800939475015126\right) a{\left(n + 16 \right)}}{1133824 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(42949206023114893815156822038450623 n^{5} + 12844461129458006230160537740949820925 n^{4} + 1536407021193444801135415375397902769495 n^{3} + 91883122110456859455134300909798633911175 n^{2} + 2747284636081555728875208640176606587664222 n + 32854841513160256235992745998334843210603040\right) a{\left(n + 60 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{5 \left(49110263725029750880044170164202839 n^{5} + 14226250762676524817723741487987520480 n^{4} + 1648311523743387257082153333911548594951 n^{3} + 95483462719225479997791721420246768339634 n^{2} + 2765390154503375004948000471129367979029888 n + 32034162521832484761944671083763075618995120\right) a{\left(n + 58 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - 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\frac{\left(1904739259018557748633757519951708161409 n^{5} + 463809970899930287013639352334141259505590 n^{4} + 45123049340197632283743726229487393108240675 n^{3} + 2192541968941580979557078892781197383055061170 n^{2} + 53212454772323026956394601314566772971451535036 n + 516068253897941023593406532632973221608011269440\right) a{\left(n + 47 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(2063190406286389298684348534529016089653 n^{5} + 503017842571827273915202122603948269961745 n^{4} + 48906189315193382490359573481569319990390065 n^{3} + 2370919632667421987488000338418663009123093115 n^{2} + 57325851479235579700281247728794058831195167942 n + 553156649485638680902231814599366723150159701960\right) a{\left(n + 46 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(2194671845542280208544356133103876372407 n^{5} + 285159003623514724494495476824180352474600 n^{4} + 14815834745545332047550922909695649494141085 n^{3} + 384768559061465057435198254314491005184390590 n^{2} + 4994708694308259137583873678444196508830111078 n + 25926892049757821497800760069023125909254873260\right) a{\left(n + 25 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(4443281466831759170215949730670122169013 n^{5} + 596999900090897952931846514350173591346060 n^{4} + 32079279206278308654064524811184977051447485 n^{3} + 861719201907401002236865440093768109993397180 n^{2} + 11571738934473533573681582013274832748679785922 n + 62146114158814129693431458237187311648740953660\right) a{\left(n + 26 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{5 \left(10260072224051606267768311476422543433217 n^{5} + 2019390069370462578165538941571040086663301 n^{4} + 158905579690440187646629555258050060338891517 n^{3} + 6249024025119608005198898972140856140812375199 n^{2} + 122810107249013091713698649903665925139825348902 n + 964915764977196460103415152685932014650620037024\right) a{\left(n + 40 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{5 \left(12924935476384571064896288738629803274695 n^{5} + 1972397602631156940542214136770010975585706 n^{4} + 120397682411781537080623619185279461238217317 n^{3} + 3674598765553245994531272661460022897228463066 n^{2} + 56075142078343405218763138907472448971071329664 n + 342286671619306933160891014280281391140816942416\right) a{\left(n + 30 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(15753045448610860456751560602333008319704 n^{5} + 3153231985747813670048082042809529499711865 n^{4} + 252251233581323350977294281818873042453844870 n^{3} + 10080676825367702526434072199787056743179508725 n^{2} + 201236500152536178647716014925663893921831807656 n + 1605294056449323692606921801827996323232864265100\right) a{\left(n + 41 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(16698547970547412944261351239957232701569 n^{5} + 3378224869219100197430387118602112179993440 n^{4} + 272879543418082908377342854307172562435104615 n^{3} + 10999503128453103028057663462538063228946933440 n^{2} + 221219503542910460553908695384894996111623804896 n + 1775540226774210159699846398999362947138306229440\right) a{\left(n + 42 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(22119765038612728524665003583762371249751 n^{5} + 3273813579219789913101525242214918546508855 n^{4} + 193810648796329786791098766355504701609315135 n^{3} + 5736696554378305078041545121142592973447803465 n^{2} + 84899853259257503995995973309895790520392267474 n + 502577508785099485173557750332702296939823317120\right) a{\left(n + 29 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{5 \left(22145005106698789160427013959262582887603 n^{5} + 3583397603869290221422889648506460646333947 n^{4} + 231939416301154483195714565632324003429063747 n^{3} + 7506294527652246082477792494077424249719679937 n^{2} + 121464463044938017423627663921794653880834248054 n + 786206355135402667766689692807753148028653484016\right) a{\left(n + 32 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(69094475397922585913295283480881129192723 n^{5} + 12438797972855565198867227262760127274621335 n^{4} + 895655574074020995051693900890061201300061515 n^{3} + 32243553009425072068068110743548833381147896105 n^{2} + 580344337242395803211375358730839956717940682002 n + 4177932510266421061631750093443635749901556625280\right) a{\left(n + 36 \right)}}{2267648 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(74830344443609732713259210853546868112937 n^{5} + 14437840193756266735488269953507473068883790 n^{4} + 1113928881722205126950080641946081650998442235 n^{3} + 42958844149949003168293587799503790361359472150 n^{2} + 828107585080630328716173453999094185367173312728 n + 6383357616115980540963196916464892939371940807040\right) a{\left(n + 39 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(87697984315375326091773483028472207531412 n^{5} + 13787054633511822632304852150906716478994955 n^{4} + 866989882781434521594232901944935593782091310 n^{3} + 27260138571055725063923824606344058796175971725 n^{2} + 428562734025702894754082149043109279688012094118 n + 2695031533671076139559265658319753785773417237440\right) a{\left(n + 31 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(99533252267390283192351746788259603212471 n^{5} + 18789956500424839288788186187355843096650775 n^{4} + 1418603935947129114154063315770006657915938535 n^{3} + 53540836770278877993943962812240288497680907945 n^{2} + 1010179681828343158636139467701479391943074213194 n + 7622413995730221067706587912482320245638353819160\right) a{\left(n + 38 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(121887959019459932821413029827886468834451 n^{5} + 22482883537278420121147085464943322470430780 n^{4} + 1658634824754455978043536483090230483223867485 n^{3} + 61174241218818784048524085083247786663852826760 n^{2} + 1127994527755550047420293343506905199498400632164 n + 8318740954671769408620387582679418114344064020560\right) a{\left(n + 37 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(130191411971747660345806239466588831723411 n^{5} + 21665071862060647342100680371263921687272060 n^{4} + 1442098799068010886938911808129731538836995785 n^{3} + 47995262252870987196722801146530877458323032280 n^{2} + 798677731004879951481748960458936908300053276224 n + 5316257447368728786662162305077002703375012591240\right) a{\left(n + 33 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} - \frac{\left(142618163251708302095245487181561775876186 n^{5} + 24385439217413663298402335728697252250563945 n^{4} + 1667774027164005901868375423516313796066999300 n^{3} + 57030384828995962274456090949996794027589326935 n^{2} + 975078252143481766323530151902895308663552072194 n + 6668502477591022818525589758404230082089434882360\right) a{\left(n + 34 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)} + \frac{\left(145525247972457598440526820477697183287643 n^{5} + 25543763959307543318033814811686634771495975 n^{4} + 1793381895232251172847715851384239651493385935 n^{3} + 62952608456383705270999487537911225599221304785 n^{2} + 1104865677394750241904835758392794393877876904982 n + 7756250185243028635570701540583881671895679913640\right) a{\left(n + 35 \right)}}{4535296 \left(n + 83\right) \left(n + 84\right) \left(n + 85\right) \left(n + 86\right) \left(n + 87\right)}, \quad n \geq 86
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24724/
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[165,x]+F[8,x]
F[8,x] = F[22,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[68,x]
F[13,x] = F[14,x]+F[19,x]
F[14,x] = F[0,x]*F[15,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[20,x]+F[21,x]
F[20,x] = F[11,x]
F[21,x] = -F[25,x]+F[22,x]
F[22,x] = -F[58,x]+F[23,x]
F[23,x] = F[24,x]+F[41,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[15,x]*F[2,x]
F[26,x] = F[27,x]*F[36,x]
F[27,x] = F[28,x]
F[28,x] = F[18,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[30,x]
F[33,x] = F[27,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[18,x]*F[33,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = F[38,x]+F[39,x]+F[40,x]
F[38,x] = 0
F[39,x] = F[16,x]*F[18,x]
F[40,x] = F[18,x]*F[36,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[148,x]+F[44,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[20,x]*F[46,x]
F[46,x] = 1/F[18,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[49,x]
F[49,x] = F[30,x]*F[50,x]*F[80,x]
F[50,x] = -F[58,x]+F[51,x]
F[51,x] = F[26,x]+F[52,x]
F[52,x] = -F[147,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = F[12,x]+F[56,x]
F[56,x] = 1/F[18,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[18,x]*F[60,x]
F[60,x] = F[145,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[18,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = 1/F[18,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[70,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[55,x]
F[70,x] = F[71,x]
F[71,x] = F[16,x]*F[62,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = 1/F[142,x]/F[18,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[135,x]*F[18,x]*F[77,x]
F[77,x] = F[78,x]+F[81,x]
F[78,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[79,x]
F[79,x] = F[56,x]
F[80,x] = F[1,x]+F[27,x]
F[81,x] = 1/F[18,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[84,x]+F[23,x]
F[84,x] = F[85,x]+F[88,x]
F[85,x] = -F[0,x]+F[86,x]
F[86,x] = 1/F[18,x]*F[87,x]
F[87,x] = F[2,x]
F[88,x] = F[89,x]
F[89,x] = F[18,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[18,x]*F[30,x]*F[80,x]*F[92,x]
F[92,x] = 1/F[130,x]*F[93,x]
F[93,x] = -F[126,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[100,x]+F[97,x]
F[97,x] = 1/F[18,x]*F[98,x]
F[98,x] = F[99,x]
F[99,x] = -F[2,x]+F[85,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[0,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[18,x]
F[104,x] = F[105,x]+F[109,x]
F[105,x] = F[106,x]*F[86,x]
F[106,x] = -F[0,x]+F[107,x]
F[107,x] = 1/F[18,x]*F[108,x]
F[108,x] = F[2,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[18,x]*F[92,x]
F[111,x] = 1/F[18,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[117,x]+F[114,x]
F[114,x] = 1/F[18,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = -F[2,x]+F[106,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[107,x]*F[2,x]
F[119,x] = F[120,x]
F[120,x] = F[111,x]*F[121,x]*F[18,x]
F[121,x] = F[122,x]+F[2,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[18,x]
F[124,x] = F[125,x]+F[84,x]
F[125,x] = F[0,x]+F[122,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[18,x]*F[92,x]
F[128,x] = F[129,x]+F[133,x]
F[129,x] = F[130,x]*F[30,x]
F[130,x] = F[0,x]+F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[128,x]*F[18,x]
F[133,x] = F[134,x]
F[134,x] = F[111,x]*F[18,x]*F[30,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[18,x]
F[137,x] = F[138,x]+F[15,x]
F[138,x] = F[139,x]+F[16,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[18,x]
F[141,x] = F[139,x]+F[16,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[1,x]+F[135,x]
F[144,x] = F[15,x]*F[18,x]
F[145,x] = F[146,x]
F[146,x] = F[18,x]*F[60,x]
F[147,x] = F[36,x]*F[80,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[18,x]
F[150,x] = F[151,x]+F[163,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[128,x]*F[78,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[30,x]*F[80,x]
F[155,x] = -F[72,x]+F[156,x]
F[156,x] = 1/F[18,x]*F[157,x]
F[157,x] = F[158,x]
F[158,x] = -F[145,x]+F[159,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[31,x]*F[53,x]
F[161,x] = -F[162,x]+F[60,x]
F[162,x] = F[30,x]*F[53,x]
F[163,x] = F[164,x]
F[164,x] = F[15,x]*F[30,x]*F[74,x]*F[80,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[18,x]
F[167,x] = F[168,x]+F[175,x]
F[168,x] = F[169,x]+F[174,x]
F[169,x] = F[170,x]+F[7,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[18,x]
F[172,x] = F[173,x]+F[72,x]
F[173,x] = F[15,x]*F[65,x]
F[174,x] = F[56,x]
F[175,x] = F[176,x]
F[176,x] = F[143,x]*F[18,x]*F[77,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_{165}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \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_{68}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \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_{20}\! \left(x \right)+F_{21}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{41}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \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_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \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_{33}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = 0
F_{39}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{36}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{148}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right) F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{26}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{145}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right) F_{62}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{142}\! \left(x \right) F_{18}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{135}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{81}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{56}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \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_{84}\! \left(x \right)+F_{23}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{2}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{18}\! \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_{30}\! \left(x \right) F_{80}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{130}\! \left(x \right)}
F_{93}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{85}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{18}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{109}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{86}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{2}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right) F_{92}\! \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_{117}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{106}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{107}\! \left(x \right) F_{2}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{111}\! \left(x \right) F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{2}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{18}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{84}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right)+F_{122}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{18}\! \left(x \right) F_{92}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{133}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{30}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{128}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{15}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{16}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{139}\! \left(x \right)+F_{16}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)
F_{144}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{147}\! \left(x \right) = F_{36}\! \left(x \right) F_{80}\! \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_{163}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{128}\! \left(x \right) F_{78}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)
F_{161}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{60}\! \left(x \right)
F_{162}\! \left(x \right) = F_{30}\! \left(x \right) F_{53}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right) F_{74}\! \left(x \right) F_{80}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{175}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{174}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{7}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{18}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{72}\! \left(x \right)
F_{173}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{174}\! \left(x \right) = F_{56}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{143}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \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_165(x) + F_8(x))
Eq(F_8(x), F_22(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_68(x))
Eq(F_13(x), F_14(x) + F_19(x))
Eq(F_14(x), F_0(x)*F_15(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_20(x) + F_21(x))
Eq(F_20(x), F_11(x))
Eq(F_21(x), F_22(x) - F_25(x))
Eq(F_22(x), F_23(x) - F_58(x))
Eq(F_23(x), F_24(x) + F_41(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_15(x)*F_2(x))
Eq(F_26(x), F_27(x)*F_36(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_33(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_30(x))
Eq(F_33(x), F_27(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_18(x)*F_33(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_39(x) + F_40(x))
Eq(F_38(x), 0)
Eq(F_39(x), F_16(x)*F_18(x))
Eq(F_40(x), F_18(x)*F_36(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_148(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_20(x)*F_46(x))
Eq(F_46(x), F_47(x)/F_18(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_30(x)*F_50(x)*F_80(x))
Eq(F_50(x), F_51(x) - F_58(x))
Eq(F_51(x), F_26(x) + F_52(x))
Eq(F_52(x), -F_147(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_18(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_18(x)*F_60(x))
Eq(F_60(x), F_145(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_18(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x)/F_18(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_70(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_55(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_16(x)*F_62(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x)/(F_142(x)*F_18(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_135(x)*F_18(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_81(x))
Eq(F_78(x), F_79(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_79(x), F_56(x))
Eq(F_80(x), F_1(x) + F_27(x))
Eq(F_81(x), F_82(x)/F_18(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_23(x) - F_84(x))
Eq(F_84(x), F_85(x) + F_88(x))
Eq(F_85(x), -F_0(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_18(x))
Eq(F_87(x), F_2(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_18(x)*F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_18(x)*F_30(x)*F_80(x)*F_92(x))
Eq(F_92(x), F_93(x)/F_130(x))
Eq(F_93(x), -F_126(x) + F_94(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), -F_100(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_18(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), -F_2(x) + F_85(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_0(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_18(x))
Eq(F_104(x), F_105(x) + F_109(x))
Eq(F_105(x), F_106(x)*F_86(x))
Eq(F_106(x), -F_0(x) + F_107(x))
Eq(F_107(x), F_108(x)/F_18(x))
Eq(F_108(x), F_2(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_18(x)*F_92(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_117(x))
Eq(F_114(x), F_115(x)/F_18(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_106(x) - F_2(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_107(x)*F_2(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_111(x)*F_121(x)*F_18(x))
Eq(F_121(x), F_122(x) + F_2(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_18(x))
Eq(F_124(x), F_125(x) + F_84(x))
Eq(F_125(x), F_0(x) + F_122(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_18(x)*F_92(x))
Eq(F_128(x), F_129(x) + F_133(x))
Eq(F_129(x), F_130(x)*F_30(x))
Eq(F_130(x), F_0(x) + F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_128(x)*F_18(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_111(x)*F_18(x)*F_30(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_18(x))
Eq(F_137(x), F_138(x) + F_15(x))
Eq(F_138(x), F_139(x) + F_16(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_18(x))
Eq(F_141(x), F_139(x) + F_16(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_1(x) + F_135(x))
Eq(F_144(x), F_15(x)*F_18(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_18(x)*F_60(x))
Eq(F_147(x), F_36(x)*F_80(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_163(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_128(x)*F_78(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_30(x)*F_80(x))
Eq(F_155(x), F_156(x) - F_72(x))
Eq(F_156(x), F_157(x)/F_18(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), -F_145(x) + F_159(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_31(x)*F_53(x))
Eq(F_161(x), -F_162(x) + F_60(x))
Eq(F_162(x), F_30(x)*F_53(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_15(x)*F_30(x)*F_74(x)*F_80(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_18(x))
Eq(F_167(x), F_168(x) + F_175(x))
Eq(F_168(x), F_169(x) + F_174(x))
Eq(F_169(x), F_170(x) + F_7(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_18(x))
Eq(F_172(x), F_173(x) + F_72(x))
Eq(F_173(x), F_15(x)*F_65(x))
Eq(F_174(x), F_56(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_143(x)*F_18(x)*F_77(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "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": [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": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [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, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, 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0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": 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[0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 3], [0, 2], [2, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 3], [2, 2], [2, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [1, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [0, 3], [7, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 2], [0, 3], [1, 3], [7, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [7, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [1, 3], [1, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [1, 3], [7, 3]]}], "requirements": [[{"patt": [0], "pos": [[5, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": 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": [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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "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": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "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": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "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": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "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"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24752/
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[160,x]+F[8,x]
F[8,x] = F[22,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[68,x]
F[13,x] = F[14,x]+F[19,x]
F[14,x] = F[0,x]*F[15,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[20,x]+F[21,x]
F[20,x] = F[11,x]
F[21,x] = -F[25,x]+F[22,x]
F[22,x] = -F[58,x]+F[23,x]
F[23,x] = F[24,x]+F[41,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[15,x]*F[2,x]
F[26,x] = F[27,x]*F[36,x]
F[27,x] = F[28,x]
F[28,x] = F[18,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[30,x]
F[33,x] = F[27,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[18,x]*F[33,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = F[38,x]+F[39,x]+F[40,x]
F[38,x] = 0
F[39,x] = F[16,x]*F[18,x]
F[40,x] = F[18,x]*F[36,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[140,x]+F[44,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[20,x]*F[46,x]
F[46,x] = 1/F[18,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[49,x]
F[49,x] = F[30,x]*F[50,x]*F[80,x]
F[50,x] = -F[58,x]+F[51,x]
F[51,x] = F[26,x]+F[52,x]
F[52,x] = -F[139,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = F[12,x]+F[56,x]
F[56,x] = 1/F[18,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[18,x]*F[60,x]
F[60,x] = F[137,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[18,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = 1/F[18,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[70,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[55,x]
F[70,x] = F[71,x]
F[71,x] = F[16,x]*F[62,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = 1/F[134,x]/F[18,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[127,x]*F[18,x]*F[77,x]
F[77,x] = F[78,x]+F[81,x]
F[78,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[79,x]
F[79,x] = F[56,x]
F[80,x] = F[1,x]+F[27,x]
F[81,x] = 1/F[18,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[84,x]+F[23,x]
F[84,x] = F[85,x]+F[90,x]
F[85,x] = F[2,x]+F[86,x]
F[86,x] = -F[2,x]+F[87,x]
F[87,x] = -F[0,x]+F[88,x]
F[88,x] = 1/F[18,x]*F[89,x]
F[89,x] = F[2,x]
F[90,x] = F[91,x]
F[91,x] = F[18,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[86,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[2,x]*F[88,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[102,x]*F[18,x]
F[100,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[101,x]
F[101,x] = F[93,x]
F[102,x] = F[103,x]+F[107,x]
F[103,x] = F[104,x]*F[30,x]
F[104,x] = F[105,x]+F[2,x]
F[105,x] = F[106,x]
F[106,x] = F[102,x]*F[18,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[18,x]*F[30,x]
F[109,x] = 1/F[18,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[118,x]+F[112,x]
F[112,x] = 1/F[18,x]*F[113,x]
F[113,x] = F[114,x]
F[114,x] = -F[2,x]+F[115,x]
F[115,x] = -F[0,x]+F[116,x]
F[116,x] = 1/F[18,x]*F[117,x]
F[117,x] = F[2,x]
F[118,x] = F[119,x]+F[120,x]
F[119,x] = F[116,x]*F[2,x]
F[120,x] = F[121,x]
F[121,x] = F[109,x]*F[122,x]*F[18,x]
F[122,x] = F[123,x]+F[2,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[126,x]+F[84,x]
F[126,x] = F[0,x]+F[123,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[18,x]
F[129,x] = F[130,x]+F[15,x]
F[130,x] = F[131,x]+F[16,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[18,x]
F[133,x] = F[131,x]+F[16,x]
F[134,x] = F[135,x]+F[136,x]
F[135,x] = F[1,x]+F[127,x]
F[136,x] = F[15,x]*F[18,x]
F[137,x] = F[138,x]
F[138,x] = F[18,x]*F[60,x]
F[139,x] = F[36,x]*F[80,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[18,x]
F[142,x] = F[143,x]+F[158,x]
F[143,x] = F[144,x]+F[148,x]
F[144,x] = F[145,x]*F[78,x]
F[145,x] = F[107,x]+F[146,x]
F[146,x] = F[147,x]*F[30,x]
F[147,x] = F[104,x]+F[80,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[30,x]*F[80,x]
F[150,x] = -F[72,x]+F[151,x]
F[151,x] = 1/F[18,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = -F[137,x]+F[154,x]
F[154,x] = F[155,x]+F[156,x]
F[155,x] = F[31,x]*F[53,x]
F[156,x] = -F[157,x]+F[60,x]
F[157,x] = F[30,x]*F[53,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[30,x]*F[74,x]*F[80,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[18,x]
F[162,x] = F[163,x]+F[170,x]
F[163,x] = F[164,x]+F[169,x]
F[164,x] = F[165,x]+F[7,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[18,x]
F[167,x] = F[168,x]+F[72,x]
F[168,x] = F[15,x]*F[65,x]
F[169,x] = F[56,x]
F[170,x] = F[171,x]
F[171,x] = F[135,x]*F[18,x]*F[77,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_{160}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \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_{68}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \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_{20}\! \left(x \right)+F_{21}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{41}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \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_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \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_{33}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = 0
F_{39}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{36}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{140}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right) F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{26}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{137}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right) F_{62}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{134}\! \left(x \right) F_{18}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{127}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{81}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{56}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \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_{84}\! \left(x \right)+F_{23}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{90}\! \left(x \right)
F_{85}\! \left(x \right) = F_{2}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{2}\! \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_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{86}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{102}\! \left(x \right) F_{18}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{93}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{107}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{30}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{2}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{102}\! \left(x \right) F_{18}\! \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_{30}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{0}\! \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_{2}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{120}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{2}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{109}\! \left(x \right) F_{122}\! \left(x \right) F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{2}\! \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_{84}\! \left(x \right)
F_{126}\! \left(x \right) = F_{0}\! \left(x \right)+F_{123}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{15}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{16}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{131}\! \left(x \right)+F_{16}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)
F_{135}\! \left(x \right) = F_{1}\! \left(x \right)+F_{127}\! \left(x \right)
F_{136}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{139}\! \left(x \right) = F_{36}\! \left(x \right) F_{80}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{18}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{158}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{148}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{78}\! \left(x \right)
F_{145}\! \left(x \right) = F_{107}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{30}\! \left(x \right)
F_{147}\! \left(x \right) = F_{104}\! \left(x \right)+F_{80}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)
F_{150}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{156}\! \left(x \right)
F_{155}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{60}\! \left(x \right)
F_{157}\! \left(x \right) = F_{30}\! \left(x \right) F_{53}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right) F_{74}\! \left(x \right) F_{80}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{18}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{170}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{169}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{7}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{72}\! \left(x \right)
F_{168}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{169}\! \left(x \right) = F_{56}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{135}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \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_160(x) + F_8(x))
Eq(F_8(x), F_22(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_68(x))
Eq(F_13(x), F_14(x) + F_19(x))
Eq(F_14(x), F_0(x)*F_15(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_20(x) + F_21(x))
Eq(F_20(x), F_11(x))
Eq(F_21(x), F_22(x) - F_25(x))
Eq(F_22(x), F_23(x) - F_58(x))
Eq(F_23(x), F_24(x) + F_41(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_15(x)*F_2(x))
Eq(F_26(x), F_27(x)*F_36(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_33(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_30(x))
Eq(F_33(x), F_27(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_18(x)*F_33(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_39(x) + F_40(x))
Eq(F_38(x), 0)
Eq(F_39(x), F_16(x)*F_18(x))
Eq(F_40(x), F_18(x)*F_36(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_140(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_20(x)*F_46(x))
Eq(F_46(x), F_47(x)/F_18(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_30(x)*F_50(x)*F_80(x))
Eq(F_50(x), F_51(x) - F_58(x))
Eq(F_51(x), F_26(x) + F_52(x))
Eq(F_52(x), -F_139(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_18(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_18(x)*F_60(x))
Eq(F_60(x), F_137(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_18(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x)/F_18(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_70(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_55(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_16(x)*F_62(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x)/(F_134(x)*F_18(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_127(x)*F_18(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_81(x))
Eq(F_78(x), F_79(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_79(x), F_56(x))
Eq(F_80(x), F_1(x) + F_27(x))
Eq(F_81(x), F_82(x)/F_18(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_23(x) - F_84(x))
Eq(F_84(x), F_85(x) + F_90(x))
Eq(F_85(x), F_2(x) + F_86(x))
Eq(F_86(x), -F_2(x) + F_87(x))
Eq(F_87(x), -F_0(x) + F_88(x))
Eq(F_88(x), F_89(x)/F_18(x))
Eq(F_89(x), F_2(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_18(x)*F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_86(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_2(x)*F_88(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_102(x)*F_18(x))
Eq(F_100(x), F_101(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_101(x), F_93(x))
Eq(F_102(x), F_103(x) + F_107(x))
Eq(F_103(x), F_104(x)*F_30(x))
Eq(F_104(x), F_105(x) + F_2(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_102(x)*F_18(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_18(x)*F_30(x))
Eq(F_109(x), F_110(x)/F_18(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x) - F_118(x))
Eq(F_112(x), F_113(x)/F_18(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x) - F_2(x))
Eq(F_115(x), -F_0(x) + F_116(x))
Eq(F_116(x), F_117(x)/F_18(x))
Eq(F_117(x), F_2(x))
Eq(F_118(x), F_119(x) + F_120(x))
Eq(F_119(x), F_116(x)*F_2(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_109(x)*F_122(x)*F_18(x))
Eq(F_122(x), F_123(x) + F_2(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_84(x))
Eq(F_126(x), F_0(x) + F_123(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_18(x))
Eq(F_129(x), F_130(x) + F_15(x))
Eq(F_130(x), F_131(x) + F_16(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_18(x))
Eq(F_133(x), F_131(x) + F_16(x))
Eq(F_134(x), F_135(x) + F_136(x))
Eq(F_135(x), F_1(x) + F_127(x))
Eq(F_136(x), F_15(x)*F_18(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_18(x)*F_60(x))
Eq(F_139(x), F_36(x)*F_80(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_18(x))
Eq(F_142(x), F_143(x) + F_158(x))
Eq(F_143(x), F_144(x) + F_148(x))
Eq(F_144(x), F_145(x)*F_78(x))
Eq(F_145(x), F_107(x) + F_146(x))
Eq(F_146(x), F_147(x)*F_30(x))
Eq(F_147(x), F_104(x) + F_80(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_30(x)*F_80(x))
Eq(F_150(x), F_151(x) - F_72(x))
Eq(F_151(x), F_152(x)/F_18(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_137(x) + F_154(x))
Eq(F_154(x), F_155(x) + F_156(x))
Eq(F_155(x), F_31(x)*F_53(x))
Eq(F_156(x), -F_157(x) + F_60(x))
Eq(F_157(x), F_30(x)*F_53(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_30(x)*F_74(x)*F_80(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_18(x))
Eq(F_162(x), F_163(x) + F_170(x))
Eq(F_163(x), F_164(x) + F_169(x))
Eq(F_164(x), F_165(x) + F_7(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_18(x))
Eq(F_167(x), F_168(x) + F_72(x))
Eq(F_168(x), F_15(x)*F_65(x))
Eq(F_169(x), F_56(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_135(x)*F_18(x)*F_77(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "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": [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": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [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, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": 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"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "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"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25092/
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[160,x]+F[8,x]
F[8,x] = F[22,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[68,x]
F[13,x] = F[14,x]+F[19,x]
F[14,x] = F[0,x]*F[15,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[20,x]+F[21,x]
F[20,x] = F[11,x]
F[21,x] = -F[25,x]+F[22,x]
F[22,x] = -F[58,x]+F[23,x]
F[23,x] = F[24,x]+F[41,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[15,x]*F[2,x]
F[26,x] = F[27,x]*F[36,x]
F[27,x] = F[28,x]
F[28,x] = F[18,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[30,x]
F[33,x] = F[27,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[18,x]*F[33,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = F[38,x]+F[39,x]+F[40,x]
F[38,x] = 0
F[39,x] = F[16,x]*F[18,x]
F[40,x] = F[18,x]*F[36,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[140,x]+F[44,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[20,x]*F[46,x]
F[46,x] = 1/F[18,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[49,x]
F[49,x] = F[30,x]*F[50,x]*F[80,x]
F[50,x] = -F[58,x]+F[51,x]
F[51,x] = F[26,x]+F[52,x]
F[52,x] = -F[139,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = F[12,x]+F[56,x]
F[56,x] = 1/F[18,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[18,x]*F[60,x]
F[60,x] = F[137,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[18,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = 1/F[18,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[70,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[55,x]
F[70,x] = F[71,x]
F[71,x] = F[16,x]*F[62,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = 1/F[134,x]/F[18,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[127,x]*F[18,x]*F[77,x]
F[77,x] = F[78,x]+F[81,x]
F[78,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[79,x]
F[79,x] = F[56,x]
F[80,x] = F[1,x]+F[27,x]
F[81,x] = 1/F[18,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[84,x]+F[23,x]
F[84,x] = F[85,x]+F[90,x]
F[85,x] = F[2,x]+F[86,x]
F[86,x] = -F[2,x]+F[87,x]
F[87,x] = -F[0,x]+F[88,x]
F[88,x] = 1/F[18,x]*F[89,x]
F[89,x] = F[2,x]
F[90,x] = F[91,x]
F[91,x] = F[18,x]*F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[96,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[86,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[2,x]*F[88,x]
F[98,x] = F[99,x]
F[99,x] = F[100,x]*F[102,x]*F[18,x]
F[100,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[101,x]
F[101,x] = F[93,x]
F[102,x] = F[103,x]+F[107,x]
F[103,x] = F[104,x]*F[30,x]
F[104,x] = F[105,x]+F[2,x]
F[105,x] = F[106,x]
F[106,x] = F[102,x]*F[18,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[18,x]*F[30,x]
F[109,x] = 1/F[18,x]*F[110,x]
F[110,x] = F[111,x]
F[111,x] = -F[118,x]+F[112,x]
F[112,x] = 1/F[18,x]*F[113,x]
F[113,x] = F[114,x]
F[114,x] = -F[2,x]+F[115,x]
F[115,x] = -F[0,x]+F[116,x]
F[116,x] = 1/F[18,x]*F[117,x]
F[117,x] = F[2,x]
F[118,x] = F[119,x]+F[120,x]
F[119,x] = F[116,x]*F[2,x]
F[120,x] = F[121,x]
F[121,x] = F[109,x]*F[122,x]*F[18,x]
F[122,x] = F[123,x]+F[2,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[126,x]+F[84,x]
F[126,x] = F[0,x]+F[123,x]
F[127,x] = F[128,x]
F[128,x] = F[129,x]*F[18,x]
F[129,x] = F[130,x]+F[15,x]
F[130,x] = F[131,x]+F[16,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[18,x]
F[133,x] = F[131,x]+F[16,x]
F[134,x] = F[135,x]+F[136,x]
F[135,x] = F[1,x]+F[127,x]
F[136,x] = F[15,x]*F[18,x]
F[137,x] = F[138,x]
F[138,x] = F[18,x]*F[60,x]
F[139,x] = F[36,x]*F[80,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[18,x]
F[142,x] = F[143,x]+F[158,x]
F[143,x] = F[144,x]+F[148,x]
F[144,x] = F[145,x]*F[78,x]
F[145,x] = F[107,x]+F[146,x]
F[146,x] = F[147,x]*F[30,x]
F[147,x] = F[104,x]+F[80,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[30,x]*F[80,x]
F[150,x] = -F[72,x]+F[151,x]
F[151,x] = 1/F[18,x]*F[152,x]
F[152,x] = F[153,x]
F[153,x] = -F[137,x]+F[154,x]
F[154,x] = F[155,x]+F[156,x]
F[155,x] = F[31,x]*F[53,x]
F[156,x] = -F[157,x]+F[60,x]
F[157,x] = F[30,x]*F[53,x]
F[158,x] = F[159,x]
F[159,x] = F[15,x]*F[30,x]*F[74,x]*F[80,x]
F[160,x] = F[161,x]
F[161,x] = F[162,x]*F[18,x]
F[162,x] = F[163,x]+F[170,x]
F[163,x] = F[164,x]+F[169,x]
F[164,x] = F[165,x]+F[7,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[18,x]
F[167,x] = F[168,x]+F[72,x]
F[168,x] = F[15,x]*F[65,x]
F[169,x] = F[56,x]
F[170,x] = F[171,x]
F[171,x] = F[135,x]*F[18,x]*F[77,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_{160}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \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_{68}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \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_{20}\! \left(x \right)+F_{21}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{41}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \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_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \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_{33}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = 0
F_{39}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{36}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{140}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right) F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{26}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{137}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right) F_{62}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{134}\! \left(x \right) F_{18}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{127}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{81}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{56}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \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_{84}\! \left(x \right)+F_{23}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{90}\! \left(x \right)
F_{85}\! \left(x \right) = F_{2}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{2}\! \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_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{86}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{2}\! \left(x \right) F_{88}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{102}\! \left(x \right) F_{18}\! \left(x \right)
F_{100}\! \left(x \right) = \frac{F_{101}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{101}\! \left(x \right) = F_{93}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{107}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{30}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{2}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{102}\! \left(x \right) F_{18}\! \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_{30}\! \left(x \right)
F_{109}\! \left(x \right) = \frac{F_{110}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{0}\! \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_{2}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{120}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right) F_{2}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{109}\! \left(x \right) F_{122}\! \left(x \right) F_{18}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{2}\! \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_{84}\! \left(x \right)
F_{126}\! \left(x \right) = F_{0}\! \left(x \right)+F_{123}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{18}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{15}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{16}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{131}\! \left(x \right)+F_{16}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)
F_{135}\! \left(x \right) = F_{1}\! \left(x \right)+F_{127}\! \left(x \right)
F_{136}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{139}\! \left(x \right) = F_{36}\! \left(x \right) F_{80}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{18}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{158}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{148}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{78}\! \left(x \right)
F_{145}\! \left(x \right) = F_{107}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{30}\! \left(x \right)
F_{147}\! \left(x \right) = F_{104}\! \left(x \right)+F_{80}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)
F_{150}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = \frac{F_{152}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right)+F_{156}\! \left(x \right)
F_{155}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{60}\! \left(x \right)
F_{157}\! \left(x \right) = F_{30}\! \left(x \right) F_{53}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right) F_{74}\! \left(x \right) F_{80}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right) F_{18}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{170}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{169}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{7}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{72}\! \left(x \right)
F_{168}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{169}\! \left(x \right) = F_{56}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{135}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \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_160(x) + F_8(x))
Eq(F_8(x), F_22(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_68(x))
Eq(F_13(x), F_14(x) + F_19(x))
Eq(F_14(x), F_0(x)*F_15(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_20(x) + F_21(x))
Eq(F_20(x), F_11(x))
Eq(F_21(x), F_22(x) - F_25(x))
Eq(F_22(x), F_23(x) - F_58(x))
Eq(F_23(x), F_24(x) + F_41(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_15(x)*F_2(x))
Eq(F_26(x), F_27(x)*F_36(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_33(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_30(x))
Eq(F_33(x), F_27(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_18(x)*F_33(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_39(x) + F_40(x))
Eq(F_38(x), 0)
Eq(F_39(x), F_16(x)*F_18(x))
Eq(F_40(x), F_18(x)*F_36(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_140(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_20(x)*F_46(x))
Eq(F_46(x), F_47(x)/F_18(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_30(x)*F_50(x)*F_80(x))
Eq(F_50(x), F_51(x) - F_58(x))
Eq(F_51(x), F_26(x) + F_52(x))
Eq(F_52(x), -F_139(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_18(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_18(x)*F_60(x))
Eq(F_60(x), F_137(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_18(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x)/F_18(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_70(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_55(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_16(x)*F_62(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x)/(F_134(x)*F_18(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_127(x)*F_18(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_81(x))
Eq(F_78(x), F_79(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_79(x), F_56(x))
Eq(F_80(x), F_1(x) + F_27(x))
Eq(F_81(x), F_82(x)/F_18(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_23(x) - F_84(x))
Eq(F_84(x), F_85(x) + F_90(x))
Eq(F_85(x), F_2(x) + F_86(x))
Eq(F_86(x), -F_2(x) + F_87(x))
Eq(F_87(x), -F_0(x) + F_88(x))
Eq(F_88(x), F_89(x)/F_18(x))
Eq(F_89(x), F_2(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_18(x)*F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), F_94(x) - F_96(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_86(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_2(x)*F_88(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_100(x)*F_102(x)*F_18(x))
Eq(F_100(x), F_101(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_101(x), F_93(x))
Eq(F_102(x), F_103(x) + F_107(x))
Eq(F_103(x), F_104(x)*F_30(x))
Eq(F_104(x), F_105(x) + F_2(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_102(x)*F_18(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_18(x)*F_30(x))
Eq(F_109(x), F_110(x)/F_18(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x) - F_118(x))
Eq(F_112(x), F_113(x)/F_18(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_115(x) - F_2(x))
Eq(F_115(x), -F_0(x) + F_116(x))
Eq(F_116(x), F_117(x)/F_18(x))
Eq(F_117(x), F_2(x))
Eq(F_118(x), F_119(x) + F_120(x))
Eq(F_119(x), F_116(x)*F_2(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_109(x)*F_122(x)*F_18(x))
Eq(F_122(x), F_123(x) + F_2(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_84(x))
Eq(F_126(x), F_0(x) + F_123(x))
Eq(F_127(x), F_128(x))
Eq(F_128(x), F_129(x)*F_18(x))
Eq(F_129(x), F_130(x) + F_15(x))
Eq(F_130(x), F_131(x) + F_16(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_18(x))
Eq(F_133(x), F_131(x) + F_16(x))
Eq(F_134(x), F_135(x) + F_136(x))
Eq(F_135(x), F_1(x) + F_127(x))
Eq(F_136(x), F_15(x)*F_18(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_18(x)*F_60(x))
Eq(F_139(x), F_36(x)*F_80(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_18(x))
Eq(F_142(x), F_143(x) + F_158(x))
Eq(F_143(x), F_144(x) + F_148(x))
Eq(F_144(x), F_145(x)*F_78(x))
Eq(F_145(x), F_107(x) + F_146(x))
Eq(F_146(x), F_147(x)*F_30(x))
Eq(F_147(x), F_104(x) + F_80(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x)*F_30(x)*F_80(x))
Eq(F_150(x), F_151(x) - F_72(x))
Eq(F_151(x), F_152(x)/F_18(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), -F_137(x) + F_154(x))
Eq(F_154(x), F_155(x) + F_156(x))
Eq(F_155(x), F_31(x)*F_53(x))
Eq(F_156(x), -F_157(x) + F_60(x))
Eq(F_157(x), F_30(x)*F_53(x))
Eq(F_158(x), F_159(x))
Eq(F_159(x), F_15(x)*F_30(x)*F_74(x)*F_80(x))
Eq(F_160(x), F_161(x))
Eq(F_161(x), F_162(x)*F_18(x))
Eq(F_162(x), F_163(x) + F_170(x))
Eq(F_163(x), F_164(x) + F_169(x))
Eq(F_164(x), F_165(x) + F_7(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_18(x))
Eq(F_167(x), F_168(x) + F_72(x))
Eq(F_168(x), F_15(x)*F_65(x))
Eq(F_169(x), F_56(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_135(x)*F_18(x)*F_77(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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[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, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "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": [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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "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": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "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": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "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": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 2]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 0]]}], "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"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25101/
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[23,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[23,x]*F[7,x]
F[7,x] = F[8,x,1]
F[8,x,k[0]] = F[163,x,k[0]]+F[9,x,k[0]]
F[9,x,k[0]] = F[10,x,k[0]]+F[25,x,k[0]]
F[10,x,k[0]] = F[0,x]+F[11,x,k[0]]
F[11,x,k[0]] = F[12,x,k[0]]
F[12,x,k[0]] = F[13,x,k[0]]*F[19,x,k[0]]
F[13,x,k[0]] = F[133,x,k[0]]+F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,k[0]]+F[20,x,k[0]]
F[15,x,k[0]] = F[0,x]*F[16,x,k[0]]
F[16,x,k[0]] = F[1,x]+F[17,x,k[0]]
F[17,x,k[0]] = F[18,x,k[0]]
F[18,x,k[0]] = F[16,x,k[0]]*F[19,x,k[0]]
F[19,x,k[0]] = k[0]*x
F[20,x,k[0]] = F[21,x,k[0]]+F[24,x,k[0]]
F[21,x,k[0]] = F[22,x,k[0]]
F[22,x,k[0]] = F[13,x,k[0]]*F[23,x]
F[23,x] = x
F[25,x,k[0]] = F[162,x,k[0]]+F[24,x,k[0]]
F[25,x,k[0]] = F[26,x]+F[29,x,k[0]]
F[26,x] = -F[0,x]+F[27,x]
F[27,x] = 1/F[23,x]*F[28,x]
F[28,x] = F[2,x]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[19,x,k[0]]*F[31,x,k[0]]
F[32,x,k[0]] = F[14,x,k[0]]+F[31,x,k[0]]
F[33,x,k[0]] = F[158,x,k[0]]+F[32,x,k[0]]
F[34,x,k[0]] = F[19,x,k[0]]*F[33,x,k[0]]
F[34,x,k[0]] = F[35,x,k[0]]
F[36,x,k[0]] = F[27,x]+F[35,x,k[0]]
F[36,x,k[0]] = F[10,x,k[0]]+F[37,x,k[0]]
F[37,x,k[0]] = F[38,x,k[0]]
F[38,x,k[0]] = F[23,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[40,x,k[0]]+F[8,x,k[0]]
F[41,x,k[0]] = F[111,x,k[0]]+F[40,x,k[0]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[23,x]*F[43,x,k[0]]
F[44,x,k[0]] = F[19,x,k[0]]*F[43,x,k[0]]
F[44,x,k[0]] = F[45,x,k[0]]
F[45,x,k[0]] = -k[0]*(F[46,x,1]-F[46,x,k[0]])/(-1+k[0])
F[8,x,k[0]] = F[46,x,k[0]]+F[47,x]
F[47,x] = F[48,x]+F[98,x]
F[48,x] = F[0,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[23,x]*F[51,x]
F[51,x] = 1/F[72,x]*F[52,x]
F[52,x] = -F[109,x]+F[53,x]
F[53,x] = 1/F[23,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[106,x]+F[56,x]
F[56,x] = -F[64,x]+F[57,x]
F[57,x] = -F[61,x]+F[58,x]
F[58,x] = 1/F[23,x]*F[59,x]
F[59,x] = F[60,x]
F[60,x] = -F[2,x]+F[26,x]
F[61,x] = F[2,x]*F[62,x]
F[62,x] = 1/F[23,x]*F[63,x]
F[63,x] = F[2,x]
F[64,x] = F[65,x]
F[65,x] = F[23,x]*F[51,x]*F[66,x]
F[66,x] = F[67,x]+F[78,x]
F[67,x] = F[68,x]*F[72,x]
F[68,x] = F[69,x]
F[69,x] = F[70,x]
F[70,x] = F[23,x]*F[71,x]
F[71,x] = F[1,x]+F[69,x]
F[72,x] = F[0,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[23,x]*F[75,x]
F[75,x] = F[76,x]+F[78,x]
F[76,x] = F[72,x]*F[77,x]
F[77,x] = F[71,x]
F[78,x] = F[79,x]
F[79,x] = F[23,x]*F[77,x]*F[80,x]
F[80,x] = 1/F[23,x]*F[81,x]
F[81,x] = F[82,x]
F[82,x] = -F[89,x]+F[83,x]
F[83,x] = 1/F[23,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[2,x]+F[86,x]
F[86,x] = -F[0,x]+F[87,x]
F[87,x] = 1/F[23,x]*F[88,x]
F[88,x] = F[2,x]
F[89,x] = F[90,x]+F[91,x]
F[90,x] = F[2,x]*F[87,x]
F[91,x] = F[92,x]
F[92,x] = F[23,x]*F[80,x]*F[93,x]
F[93,x] = F[2,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[23,x]*F[96,x]
F[96,x] = F[97,x]+F[98,x]
F[97,x] = F[0,x]+F[94,x]
F[98,x] = F[26,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[23,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[23,x]
F[104,x] = F[101,x]+F[105,x]
F[105,x] = F[102,x]+F[51,x]
F[106,x] = F[107,x]
F[107,x] = F[108,x]*F[23,x]
F[108,x] = F[57,x]
F[109,x] = F[110,x]
F[110,x] = F[23,x]*F[51,x]*F[75,x]
F[111,x,k[0]] = F[112,x,k[0]]
F[112,x,k[0]] = k[0]*F[113,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[114,x,k[0]] = F[115,x,k[0]]*F[23,x]
F[115,x,k[0]] = F[113,x,k[0]]+F[116,x,k[0]]
F[116,x,k[0]] = F[117,x,k[0]]
F[118,x,k[0]] = F[117,x,k[0]]*F[16,x,k[0]]
F[118,x,k[0]] = F[119,x,k[0]]
F[120,x,k[0]] = F[119,x,k[0]]+F[13,x,k[0]]
F[120,x,k[0]] = F[121,x,k[0]]+F[132,x,k[0]]
F[122,x,k[0]] = F[121,x,k[0]]+F[124,x,k[0]]
F[123,x,k[0]] = F[122,x,k[0]]*F[23,x]
F[123,x,k[0]] = F[25,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]+F[31,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]+F[99,x]
F[127,x,k[0]] = F[128,x,k[0]]
F[128,x,k[0]] = F[129,x,k[0]]*F[23,x]
F[115,x,k[0]] = F[129,x,k[0]]+F[130,x]
F[130,x] = F[131,x]
F[131,x] = F[105,x]*F[23,x]*F[77,x]
F[132,x,k[0]] = F[133,x,k[0]]+F[156,x,k[0]]
F[133,x,k[0]] = F[134,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]*F[19,x,k[0]]
F[135,x,k[0]] = F[13,x,k[0]]+F[136,x,k[0]]
F[136,x,k[0]] = F[137,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]*F[142,x]*F[23,x]*F[77,x]
F[139,x,k[0]] = F[138,x,k[0]]*F[142,x]*F[23,x]*F[77,x]
F[139,x,k[0]] = F[140,x,k[0]]
F[141,x,k[0]] = F[140,x,k[0]]*F[23,x]
F[141,x,k[0]] = F[126,x,k[0]]
F[142,x] = F[143,x]
F[143,x] = F[1,x]+F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[23,x]
F[146,x] = F[147,x]+F[148,x]
F[147,x] = F[1,x]+F[23,x]
F[148,x] = F[144,x]+F[149,x]
F[149,x] = F[150,x]+F[151,x]+F[155,x]
F[150,x] = 0
F[151,x] = F[152,x]*F[23,x]
F[152,x] = F[153,x]+F[154,x]
F[153,x] = F[23,x]
F[154,x] = F[149,x]
F[155,x] = F[144,x]*F[23,x]
F[156,x,k[0]] = F[157,x,k[0]]
F[157,x,k[0]] = F[117,x,k[0]]*F[17,x,k[0]]
F[158,x,k[0]] = k[0]*F[159,x,k[0]]
F[159,x,k[0]] = F[125,x,k[0]]+F[160,x,k[0]]
F[160,x,k[0]] = F[161,x,k[0]]
F[161,x,k[0]] = F[135,x,k[0]]*F[23,x]
F[162,x,k[0]] = F[16,x,k[0]]*F[2,x]
F[163,x,k[0]] = F[164,x,k[0]]
F[164,x,k[0]] = F[165,x,k[0]]*F[23,x]
F[165,x,k[0]] = F[166,x,k[0]]+F[200,x,k[0]]
F[166,x,k[0]] = F[167,x,k[0]]+F[199,x,k[0]]
F[167,x,k[0]] = F[168,x,k[0]]+F[8,x,k[0]]
F[169,x,k[0]] = F[168,x,k[0]]+F[181,x,k[0]]
F[170,x,k[0]] = F[169,x,k[0]]+F[45,x,k[0]]
F[171,x,k[0]] = F[170,x,k[0]]*F[23,x]
F[171,x,k[0]] = F[172,x,k[0]]
F[172,x,k[0]] = F[173,x,k[0]]*F[19,x,k[0]]
F[173,x,k[0]] = F[174,x,k[0]]+F[41,x,k[0]]
F[174,x,k[0]] = F[117,x,k[0]]+F[175,x,k[0]]
F[175,x,k[0]] = k[0]*F[176,x,k[0]]
F[177,x,k[0]] = F[113,x,k[0]]+F[176,x,k[0]]
F[177,x,k[0]] = F[178,x,k[0]]+F[179,x,k[0]]
F[178,x,k[0]] = F[160,x,k[0]]*F[68,x]
F[115,x,k[0]] = F[179,x,k[0]]+F[180,x,k[0]]
F[180,x,k[0]] = F[160,x,k[0]]*F[77,x]
F[181,x,k[0]] = F[182,x,k[0]]
F[182,x,k[0]] = F[183,x,k[0]]*F[192,x,k[0]]*F[23,x]
F[183,x,k[0]] = F[138,x,k[0]]+F[184,x,k[0]]
F[184,x,k[0]] = F[185,x,k[0]]
F[186,x,k[0]] = F[185,x,k[0]]+F[188,x,k[0]]
F[187,x,k[0]] = F[186,x,k[0]]*F[19,x,k[0]]
F[187,x,k[0]] = F[46,x,k[0]]
F[189,x,k[0]] = F[188,x,k[0]]*F[19,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]
F[46,x,k[0]] = F[190,x,k[0]]+F[191,x,k[0]]
F[191,x,k[0]] = F[127,x,k[0]]+F[29,x,k[0]]
F[192,x,k[0]] = F[193,x,k[0]]
F[193,x,k[0]] = F[19,x,k[0]]*F[194,x,k[0]]
F[194,x,k[0]] = F[16,x,k[0]]+F[195,x,k[0]]
F[195,x,k[0]] = F[17,x,k[0]]+F[196,x,k[0]]
F[196,x,k[0]] = F[197,x,k[0]]
F[197,x,k[0]] = F[19,x,k[0]]*F[198,x,k[0]]
F[198,x,k[0]] = F[17,x,k[0]]+F[196,x,k[0]]
F[199,x,k[0]] = F[136,x,k[0]]
F[200,x,k[0]] = F[201,x,k[0]]
F[201,x,k[0]] = F[183,x,k[0]]*F[202,x,k[0]]*F[23,x]
F[202,x,k[0]] = F[1,x]+F[192,x,k[0]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{23}\! \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_{23}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{8}\! \left(x , 1\right)
F_{8}\! \left(x , y\right) = F_{163}\! \left(x , y\right)+F_{9}\! \left(x , y\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{25}\! \left(x , y\right)
F_{10}\! \left(x , y\right) = F_{0}\! \left(x \right)+F_{11}\! \left(x , y\right)
F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , y\right)+F_{20}\! \left(x , y\right)
F_{15}\! \left(x , y\right) = F_{0}\! \left(x \right) F_{16}\! \left(x , y\right)
F_{16}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{17}\! \left(x , y\right)
F_{17}\! \left(x , y\right) = F_{18}\! \left(x , y\right)
F_{18}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{19}\! \left(x , y\right) = y x
F_{20}\! \left(x , y\right) = F_{21}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{21}\! \left(x , y\right) = F_{22}\! \left(x , y\right)
F_{22}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = x
F_{25}\! \left(x , y\right) = F_{162}\! \left(x , y\right)+F_{24}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{29}\! \left(x , y\right)
F_{26}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{2}\! \left(x \right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{31}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{158}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{33}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = F_{35}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{27}\! \left(x \right)+F_{35}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{23}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{111}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{23}\! \left(x \right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{43}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = -\frac{y \left(F_{46}\! \left(x , 1\right)-F_{46}\! \left(x , y\right)\right)}{-1+y}
F_{8}\! \left(x , y\right) = F_{46}\! \left(x , y\right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{98}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{23}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = \frac{F_{52}\! \left(x \right)}{F_{72}\! \left(x \right)}
F_{52}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{106}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = \frac{F_{59}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{26}\! \left(x \right)
F_{61}\! \left(x \right) = F_{2}\! \left(x \right) F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{63}\! \left(x \right) = F_{2}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{23}\! \left(x \right) F_{51}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{78}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right) F_{72}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{23}\! \left(x \right) F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{1}\! \left(x \right)+F_{69}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{23}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{78}\! \left(x \right)
F_{76}\! \left(x \right) = F_{72}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{71}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{23}\! \left(x \right) F_{77}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = \frac{F_{81}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{23}\! \left(x \right)}
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)
F_{90}\! \left(x \right) = F_{2}\! \left(x \right) F_{87}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{23}\! \left(x \right) F_{80}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{2}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)+F_{98}\! \left(x \right)
F_{97}\! \left(x \right) = F_{0}\! \left(x \right)+F_{94}\! \left(x \right)
F_{98}\! \left(x \right) = F_{26}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{23}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{23}\! \left(x \right)
F_{104}\! \left(x \right) = F_{101}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{102}\! \left(x \right)+F_{51}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{23}\! \left(x \right)
F_{108}\! \left(x \right) = F_{57}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{23}\! \left(x \right) F_{51}\! \left(x \right) F_{75}\! \left(x \right)
F_{111}\! \left(x , y\right) = F_{112}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = y F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{115}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{116}\! \left(x , y\right)
F_{116}\! \left(x , y\right) = F_{117}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{16}\! \left(x , y\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{13}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{132}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{124}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{122}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{123}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{31}\! \left(x , y\right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{99}\! \left(x \right)
F_{127}\! \left(x , y\right) = F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{105}\! \left(x \right) F_{23}\! \left(x \right) F_{77}\! \left(x \right)
F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{133}\! \left(x , y\right) = F_{134}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{136}\! \left(x , y\right)
F_{136}\! \left(x , y\right) = F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{142}\! \left(x \right) F_{23}\! \left(x \right) F_{77}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{142}\! \left(x \right) F_{23}\! \left(x \right) F_{77}\! \left(x \right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{140}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{141}\! \left(x , y\right) = F_{126}\! \left(x , y\right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{1}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{23}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{148}\! \left(x \right)
F_{147}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)
F_{148}\! \left(x \right) = F_{144}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{151}\! \left(x \right)+F_{155}\! \left(x \right)
F_{150}\! \left(x \right) = 0
F_{151}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{154}\! \left(x \right)
F_{153}\! \left(x \right) = F_{23}\! \left(x \right)
F_{154}\! \left(x \right) = F_{149}\! \left(x \right)
F_{155}\! \left(x \right) = F_{144}\! \left(x \right) F_{23}\! \left(x \right)
F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{117}\! \left(x , y\right) F_{17}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = y F_{159}\! \left(x , y\right)
F_{159}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{160}\! \left(x , y\right)
F_{160}\! \left(x , y\right) = F_{161}\! \left(x , y\right)
F_{161}\! \left(x , y\right) = F_{135}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{162}\! \left(x , y\right) = F_{16}\! \left(x , y\right) F_{2}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{165}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{200}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{167}\! \left(x , y\right)+F_{199}\! \left(x , y\right)
F_{167}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{8}\! \left(x , y\right)
F_{169}\! \left(x , y\right) = F_{168}\! \left(x , y\right)+F_{181}\! \left(x , y\right)
F_{170}\! \left(x , y\right) = F_{169}\! \left(x , y\right)+F_{45}\! \left(x , y\right)
F_{171}\! \left(x , y\right) = F_{170}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{171}\! \left(x , y\right) = F_{172}\! \left(x , y\right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{174}\! \left(x , y\right)+F_{41}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{117}\! \left(x , y\right)+F_{175}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = y F_{176}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{176}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right)+F_{179}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{68}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{180}\! \left(x , y\right)
F_{180}\! \left(x , y\right) = F_{160}\! \left(x , y\right) F_{77}\! \left(x \right)
F_{181}\! \left(x , y\right) = F_{182}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = F_{183}\! \left(x , y\right) F_{192}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{183}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{184}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{185}\! \left(x , y\right)
F_{186}\! \left(x , y\right) = F_{185}\! \left(x , y\right)+F_{188}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{186}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{187}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{188}\! \left(x , y\right) F_{19}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{190}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{190}\! \left(x , y\right)+F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = F_{127}\! \left(x , y\right)+F_{29}\! \left(x , y\right)
F_{192}\! \left(x , y\right) = F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{194}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{195}\! \left(x , y\right)
F_{195}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = F_{197}\! \left(x , y\right)
F_{197}\! \left(x , y\right) = F_{19}\! \left(x , y\right) F_{198}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{196}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{136}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{201}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{183}\! \left(x , y\right) F_{202}\! \left(x , y\right) F_{23}\! \left(x \right)
F_{202}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{192}\! \left(x , y\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_23(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_23(x)*F_7(x))
Eq(F_7(x), F_8(x, 1))
Eq(F_8(x, k_0), F_163(x, k_0) + F_9(x, k_0))
Eq(F_9(x, k_0), F_10(x, k_0) + F_25(x, k_0))
Eq(F_10(x, k_0), F_0(x) + F_11(x, k_0))
Eq(F_11(x, k_0), F_12(x, k_0))
Eq(F_12(x, k_0), F_13(x, k_0)*F_19(x, k_0))
Eq(F_13(x, k_0), F_133(x, k_0) + F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, k_0) + F_20(x, k_0))
Eq(F_15(x, k_0), F_0(x)*F_16(x, k_0))
Eq(F_16(x, k_0), F_1(x) + F_17(x, k_0))
Eq(F_17(x, k_0), F_18(x, k_0))
Eq(F_18(x, k_0), F_16(x, k_0)*F_19(x, k_0))
Eq(F_19(x, k_0), k_0*x)
Eq(F_20(x, k_0), F_21(x, k_0) + F_24(x, k_0))
Eq(F_21(x, k_0), F_22(x, k_0))
Eq(F_22(x, k_0), F_13(x, k_0)*F_23(x))
Eq(F_23(x), x)
Eq(F_25(x, k_0), F_162(x, k_0) + F_24(x, k_0))
Eq(F_25(x, k_0), F_26(x) + F_29(x, k_0))
Eq(F_26(x), -F_0(x) + F_27(x))
Eq(F_27(x), F_28(x)/F_23(x))
Eq(F_28(x), F_2(x))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_19(x, k_0)*F_31(x, k_0))
Eq(F_32(x, k_0), F_14(x, k_0) + F_31(x, k_0))
Eq(F_33(x, k_0), F_158(x, k_0) + F_32(x, k_0))
Eq(F_34(x, k_0), F_19(x, k_0)*F_33(x, k_0))
Eq(F_34(x, k_0), F_35(x, k_0))
Eq(F_36(x, k_0), F_27(x) + F_35(x, k_0))
Eq(F_36(x, k_0), F_10(x, k_0) + F_37(x, k_0))
Eq(F_37(x, k_0), F_38(x, k_0))
Eq(F_38(x, k_0), F_23(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_40(x, k_0) + F_8(x, k_0))
Eq(F_41(x, k_0), F_111(x, k_0) + F_40(x, k_0))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_23(x)*F_43(x, k_0))
Eq(F_44(x, k_0), F_19(x, k_0)*F_43(x, k_0))
Eq(F_44(x, k_0), F_45(x, k_0))
Eq(F_45(x, k_0), -F_46(x, 1) + (k_0*F_46(x, k_0) - F_46(x, 1))/(k_0 - 1))
Eq(F_8(x, k_0), F_46(x, k_0) + F_47(x))
Eq(F_47(x), F_48(x) + F_98(x))
Eq(F_48(x), F_0(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_23(x)*F_51(x))
Eq(F_51(x), F_52(x)/F_72(x))
Eq(F_52(x), -F_109(x) + F_53(x))
Eq(F_53(x), F_54(x)/F_23(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_106(x) + F_56(x))
Eq(F_56(x), F_57(x) - F_64(x))
Eq(F_57(x), F_58(x) - F_61(x))
Eq(F_58(x), F_59(x)/F_23(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), -F_2(x) + F_26(x))
Eq(F_61(x), F_2(x)*F_62(x))
Eq(F_62(x), F_63(x)/F_23(x))
Eq(F_63(x), F_2(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_23(x)*F_51(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_78(x))
Eq(F_67(x), F_68(x)*F_72(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_70(x))
Eq(F_70(x), F_23(x)*F_71(x))
Eq(F_71(x), F_1(x) + F_69(x))
Eq(F_72(x), F_0(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_23(x)*F_75(x))
Eq(F_75(x), F_76(x) + F_78(x))
Eq(F_76(x), F_72(x)*F_77(x))
Eq(F_77(x), F_71(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_23(x)*F_77(x)*F_80(x))
Eq(F_80(x), F_81(x)/F_23(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_83(x) - F_89(x))
Eq(F_83(x), F_84(x)/F_23(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_2(x) + F_86(x))
Eq(F_86(x), -F_0(x) + F_87(x))
Eq(F_87(x), F_88(x)/F_23(x))
Eq(F_88(x), F_2(x))
Eq(F_89(x), F_90(x) + F_91(x))
Eq(F_90(x), F_2(x)*F_87(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_23(x)*F_80(x)*F_93(x))
Eq(F_93(x), F_2(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_23(x)*F_96(x))
Eq(F_96(x), F_97(x) + F_98(x))
Eq(F_97(x), F_0(x) + F_94(x))
Eq(F_98(x), F_26(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_23(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_23(x))
Eq(F_104(x), F_101(x) + F_105(x))
Eq(F_105(x), F_102(x) + F_51(x))
Eq(F_106(x), F_107(x))
Eq(F_107(x), F_108(x)*F_23(x))
Eq(F_108(x), F_57(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_23(x)*F_51(x)*F_75(x))
Eq(F_111(x, k_0), F_112(x, k_0))
Eq(F_112(x, k_0), k_0*F_113(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_114(x, k_0), F_115(x, k_0)*F_23(x))
Eq(F_115(x, k_0), F_113(x, k_0) + F_116(x, k_0))
Eq(F_116(x, k_0), F_117(x, k_0))
Eq(F_118(x, k_0), F_117(x, k_0)*F_16(x, k_0))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_120(x, k_0), F_119(x, k_0) + F_13(x, k_0))
Eq(F_120(x, k_0), F_121(x, k_0) + F_132(x, k_0))
Eq(F_122(x, k_0), F_121(x, k_0) + F_124(x, k_0))
Eq(F_123(x, k_0), F_122(x, k_0)*F_23(x))
Eq(F_123(x, k_0), F_25(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0) + F_31(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_99(x))
Eq(F_127(x, k_0), F_128(x, k_0))
Eq(F_128(x, k_0), F_129(x, k_0)*F_23(x))
Eq(F_115(x, k_0), F_129(x, k_0) + F_130(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_105(x)*F_23(x)*F_77(x))
Eq(F_132(x, k_0), F_133(x, k_0) + F_156(x, k_0))
Eq(F_133(x, k_0), F_134(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0)*F_19(x, k_0))
Eq(F_135(x, k_0), F_13(x, k_0) + F_136(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0)*F_142(x)*F_23(x)*F_77(x))
Eq(F_139(x, k_0), F_138(x, k_0)*F_142(x)*F_23(x)*F_77(x))
Eq(F_139(x, k_0), F_140(x, k_0))
Eq(F_141(x, k_0), F_140(x, k_0)*F_23(x))
Eq(F_141(x, k_0), F_126(x, k_0))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_1(x) + F_144(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_23(x))
Eq(F_146(x), F_147(x) + F_148(x))
Eq(F_147(x), F_1(x) + F_23(x))
Eq(F_148(x), F_144(x) + F_149(x))
Eq(F_149(x), F_150(x) + F_151(x) + F_155(x))
Eq(F_150(x), 0)
Eq(F_151(x), F_152(x)*F_23(x))
Eq(F_152(x), F_153(x) + F_154(x))
Eq(F_153(x), F_23(x))
Eq(F_154(x), F_149(x))
Eq(F_155(x), F_144(x)*F_23(x))
Eq(F_156(x, k_0), F_157(x, k_0))
Eq(F_157(x, k_0), F_117(x, k_0)*F_17(x, k_0))
Eq(F_158(x, k_0), k_0*F_159(x, k_0))
Eq(F_159(x, k_0), F_125(x, k_0) + F_160(x, k_0))
Eq(F_160(x, k_0), F_161(x, k_0))
Eq(F_161(x, k_0), F_135(x, k_0)*F_23(x))
Eq(F_162(x, k_0), F_16(x, k_0)*F_2(x))
Eq(F_163(x, k_0), F_164(x, k_0))
Eq(F_164(x, k_0), F_165(x, k_0)*F_23(x))
Eq(F_165(x, k_0), F_166(x, k_0) + F_200(x, k_0))
Eq(F_166(x, k_0), F_167(x, k_0) + F_199(x, k_0))
Eq(F_167(x, k_0), F_168(x, k_0) + F_8(x, k_0))
Eq(F_169(x, k_0), F_168(x, k_0) + F_181(x, k_0))
Eq(F_170(x, k_0), F_169(x, k_0) + F_45(x, k_0))
Eq(F_171(x, k_0), F_170(x, k_0)*F_23(x))
Eq(F_171(x, k_0), F_172(x, k_0))
Eq(F_172(x, k_0), F_173(x, k_0)*F_19(x, k_0))
Eq(F_173(x, k_0), F_174(x, k_0) + F_41(x, k_0))
Eq(F_174(x, k_0), F_117(x, k_0) + F_175(x, k_0))
Eq(F_175(x, k_0), k_0*F_176(x, k_0))
Eq(F_177(x, k_0), F_113(x, k_0) + F_176(x, k_0))
Eq(F_177(x, k_0), F_178(x, k_0) + F_179(x, k_0))
Eq(F_178(x, k_0), F_160(x, k_0)*F_68(x))
Eq(F_115(x, k_0), F_179(x, k_0) + F_180(x, k_0))
Eq(F_180(x, k_0), F_160(x, k_0)*F_77(x))
Eq(F_181(x, k_0), F_182(x, k_0))
Eq(F_182(x, k_0), F_183(x, k_0)*F_192(x, k_0)*F_23(x))
Eq(F_183(x, k_0), F_138(x, k_0) + F_184(x, k_0))
Eq(F_184(x, k_0), F_185(x, k_0))
Eq(F_186(x, k_0), F_185(x, k_0) + F_188(x, k_0))
Eq(F_187(x, k_0), F_186(x, k_0)*F_19(x, k_0))
Eq(F_187(x, k_0), F_46(x, k_0))
Eq(F_189(x, k_0), F_188(x, k_0)*F_19(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0))
Eq(F_46(x, k_0), F_190(x, k_0) + F_191(x, k_0))
Eq(F_191(x, k_0), F_127(x, k_0) + F_29(x, k_0))
Eq(F_192(x, k_0), F_193(x, k_0))
Eq(F_193(x, k_0), F_19(x, k_0)*F_194(x, k_0))
Eq(F_194(x, k_0), F_16(x, k_0) + F_195(x, k_0))
Eq(F_195(x, k_0), F_17(x, k_0) + F_196(x, k_0))
Eq(F_196(x, k_0), F_197(x, k_0))
Eq(F_197(x, k_0), F_19(x, k_0)*F_198(x, k_0))
Eq(F_198(x, k_0), F_17(x, k_0) + F_196(x, k_0))
Eq(F_199(x, k_0), F_136(x, k_0))
Eq(F_200(x, k_0), F_201(x, k_0))
Eq(F_201(x, k_0), F_183(x, k_0)*F_202(x, k_0)*F_23(x))
Eq(F_202(x, k_0), F_1(x) + F_192(x, k_0))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "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": [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": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 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[[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"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, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}]}]}], "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": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}]}]}, "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": [[0, 2]]}, {"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]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 2]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 2]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[1, 2]]}]}]}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "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": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}]}]}], "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"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25314/
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[165,x]+F[8,x]
F[8,x] = F[22,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[68,x]
F[13,x] = F[14,x]+F[19,x]
F[14,x] = F[0,x]*F[15,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[20,x]+F[21,x]
F[20,x] = F[11,x]
F[21,x] = -F[25,x]+F[22,x]
F[22,x] = -F[58,x]+F[23,x]
F[23,x] = F[24,x]+F[41,x]
F[24,x] = F[25,x]+F[26,x]
F[25,x] = F[15,x]*F[2,x]
F[26,x] = F[27,x]*F[36,x]
F[27,x] = F[28,x]
F[28,x] = F[18,x]*F[29,x]
F[29,x] = F[30,x]+F[33,x]
F[30,x] = F[1,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[30,x]
F[33,x] = F[27,x]+F[34,x]
F[34,x] = F[35,x]
F[35,x] = F[18,x]*F[33,x]
F[36,x] = F[18,x]+F[37,x]
F[37,x] = F[38,x]+F[39,x]+F[40,x]
F[38,x] = 0
F[39,x] = F[16,x]*F[18,x]
F[40,x] = F[18,x]*F[36,x]
F[41,x] = F[42,x]
F[42,x] = F[18,x]*F[43,x]
F[43,x] = F[148,x]+F[44,x]
F[44,x] = F[45,x]+F[48,x]
F[45,x] = F[20,x]*F[46,x]
F[46,x] = 1/F[18,x]*F[47,x]
F[47,x] = F[2,x]
F[48,x] = F[49,x]
F[49,x] = F[30,x]*F[50,x]*F[80,x]
F[50,x] = -F[58,x]+F[51,x]
F[51,x] = F[26,x]+F[52,x]
F[52,x] = -F[147,x]+F[53,x]
F[53,x] = F[54,x]
F[54,x] = F[18,x]*F[55,x]
F[55,x] = F[12,x]+F[56,x]
F[56,x] = 1/F[18,x]*F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[59,x]
F[59,x] = F[18,x]*F[60,x]
F[60,x] = F[145,x]+F[61,x]
F[61,x] = F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[18,x]*F[64,x]
F[64,x] = F[65,x]+F[72,x]
F[65,x] = 1/F[18,x]*F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[70,x]
F[68,x] = F[69,x]
F[69,x] = F[18,x]*F[55,x]
F[70,x] = F[71,x]
F[71,x] = F[16,x]*F[62,x]
F[72,x] = F[73,x]
F[73,x] = F[15,x]*F[74,x]
F[74,x] = 1/F[142,x]/F[18,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[135,x]*F[18,x]*F[77,x]
F[77,x] = F[78,x]+F[81,x]
F[78,x] = 1/F[18,x]/F[30,x]/F[80,x]*F[79,x]
F[79,x] = F[56,x]
F[80,x] = F[1,x]+F[27,x]
F[81,x] = 1/F[18,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[84,x]+F[23,x]
F[84,x] = F[85,x]+F[88,x]
F[85,x] = -F[0,x]+F[86,x]
F[86,x] = 1/F[18,x]*F[87,x]
F[87,x] = F[2,x]
F[88,x] = F[89,x]
F[89,x] = F[18,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[18,x]*F[30,x]*F[80,x]*F[92,x]
F[92,x] = 1/F[130,x]*F[93,x]
F[93,x] = -F[126,x]+F[94,x]
F[94,x] = 1/F[18,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = -F[100,x]+F[97,x]
F[97,x] = 1/F[18,x]*F[98,x]
F[98,x] = F[99,x]
F[99,x] = -F[2,x]+F[85,x]
F[100,x] = F[101,x]+F[102,x]
F[101,x] = F[0,x]*F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[18,x]
F[104,x] = F[105,x]+F[109,x]
F[105,x] = F[106,x]*F[86,x]
F[106,x] = -F[0,x]+F[107,x]
F[107,x] = 1/F[18,x]*F[108,x]
F[108,x] = F[2,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[18,x]*F[92,x]
F[111,x] = 1/F[18,x]*F[112,x]
F[112,x] = F[113,x]
F[113,x] = -F[117,x]+F[114,x]
F[114,x] = 1/F[18,x]*F[115,x]
F[115,x] = F[116,x]
F[116,x] = -F[2,x]+F[106,x]
F[117,x] = F[118,x]+F[119,x]
F[118,x] = F[107,x]*F[2,x]
F[119,x] = F[120,x]
F[120,x] = F[111,x]*F[121,x]*F[18,x]
F[121,x] = F[122,x]+F[2,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[18,x]
F[124,x] = F[125,x]+F[84,x]
F[125,x] = F[0,x]+F[122,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[18,x]*F[92,x]
F[128,x] = F[129,x]+F[133,x]
F[129,x] = F[130,x]*F[30,x]
F[130,x] = F[0,x]+F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[128,x]*F[18,x]
F[133,x] = F[134,x]
F[134,x] = F[111,x]*F[18,x]*F[30,x]
F[135,x] = F[136,x]
F[136,x] = F[137,x]*F[18,x]
F[137,x] = F[138,x]+F[15,x]
F[138,x] = F[139,x]+F[16,x]
F[139,x] = F[140,x]
F[140,x] = F[141,x]*F[18,x]
F[141,x] = F[139,x]+F[16,x]
F[142,x] = F[143,x]+F[144,x]
F[143,x] = F[1,x]+F[135,x]
F[144,x] = F[15,x]*F[18,x]
F[145,x] = F[146,x]
F[146,x] = F[18,x]*F[60,x]
F[147,x] = F[36,x]*F[80,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]*F[18,x]
F[150,x] = F[151,x]+F[163,x]
F[151,x] = F[152,x]+F[153,x]
F[152,x] = F[128,x]*F[78,x]
F[153,x] = F[154,x]
F[154,x] = F[155,x]*F[30,x]*F[80,x]
F[155,x] = -F[72,x]+F[156,x]
F[156,x] = 1/F[18,x]*F[157,x]
F[157,x] = F[158,x]
F[158,x] = -F[145,x]+F[159,x]
F[159,x] = F[160,x]+F[161,x]
F[160,x] = F[31,x]*F[53,x]
F[161,x] = -F[162,x]+F[60,x]
F[162,x] = F[30,x]*F[53,x]
F[163,x] = F[164,x]
F[164,x] = F[15,x]*F[30,x]*F[74,x]*F[80,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[18,x]
F[167,x] = F[168,x]+F[175,x]
F[168,x] = F[169,x]+F[174,x]
F[169,x] = F[170,x]+F[7,x]
F[170,x] = F[171,x]
F[171,x] = F[172,x]*F[18,x]
F[172,x] = F[173,x]+F[72,x]
F[173,x] = F[15,x]*F[65,x]
F[174,x] = F[56,x]
F[175,x] = F[176,x]
F[176,x] = F[143,x]*F[18,x]*F[77,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_{165}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{22}\! \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_{68}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{19}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \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_{20}\! \left(x \right)+F_{21}\! \left(x \right)
F_{20}\! \left(x \right) = F_{11}\! \left(x \right)
F_{21}\! \left(x \right) = -F_{25}\! \left(x \right)+F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{41}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{36}\! \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_{33}\! \left(x \right)
F_{30}\! \left(x \right) = F_{1}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{33}\! \left(x \right) = F_{27}\! \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_{33}\! \left(x \right)
F_{36}\! \left(x \right) = F_{18}\! \left(x \right)+F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)+F_{39}\! \left(x \right)+F_{40}\! \left(x \right)
F_{38}\! \left(x \right) = 0
F_{39}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right)
F_{40}\! \left(x \right) = F_{18}\! \left(x \right) F_{36}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{148}\! \left(x \right)+F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{48}\! \left(x \right)
F_{45}\! \left(x \right) = F_{20}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right) F_{50}\! \left(x \right) F_{80}\! \left(x \right)
F_{50}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{26}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{147}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{145}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{18}\! \left(x \right) F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{72}\! \left(x \right)
F_{65}\! \left(x \right) = \frac{F_{66}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{70}\! \left(x \right)
F_{68}\! \left(x \right) = F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{55}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{16}\! \left(x \right) F_{62}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{15}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{142}\! \left(x \right) F_{18}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{135}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)+F_{81}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{56}\! \left(x \right)
F_{80}\! \left(x \right) = F_{1}\! \left(x \right)+F_{27}\! \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_{84}\! \left(x \right)+F_{23}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)+F_{88}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{2}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{18}\! \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_{30}\! \left(x \right) F_{80}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{130}\! \left(x \right)}
F_{93}\! \left(x \right) = -F_{126}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = -F_{100}\! \left(x \right)+F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = \frac{F_{98}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{85}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)
F_{101}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{18}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{109}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{86}\! \left(x \right)
F_{106}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{2}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right) F_{92}\! \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_{117}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{106}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)
F_{118}\! \left(x \right) = F_{107}\! \left(x \right) F_{2}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{111}\! \left(x \right) F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{2}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{18}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{84}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right)+F_{122}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{18}\! \left(x \right) F_{92}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{133}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{30}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{128}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{111}\! \left(x \right) F_{18}\! \left(x \right) F_{30}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{15}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{16}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{18}\! \left(x \right)
F_{141}\! \left(x \right) = F_{139}\! \left(x \right)+F_{16}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{144}\! \left(x \right)
F_{143}\! \left(x \right) = F_{1}\! \left(x \right)+F_{135}\! \left(x \right)
F_{144}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{18}\! \left(x \right) F_{60}\! \left(x \right)
F_{147}\! \left(x \right) = F_{36}\! \left(x \right) F_{80}\! \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_{163}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{128}\! \left(x \right) F_{78}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{155}\! \left(x \right) F_{30}\! \left(x \right) F_{80}\! \left(x \right)
F_{155}\! \left(x \right) = -F_{72}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = \frac{F_{157}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = -F_{145}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{31}\! \left(x \right) F_{53}\! \left(x \right)
F_{161}\! \left(x \right) = -F_{162}\! \left(x \right)+F_{60}\! \left(x \right)
F_{162}\! \left(x \right) = F_{30}\! \left(x \right) F_{53}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{15}\! \left(x \right) F_{30}\! \left(x \right) F_{74}\! \left(x \right) F_{80}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{18}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{175}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{174}\! \left(x \right)
F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{7}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{18}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{72}\! \left(x \right)
F_{173}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)
F_{174}\! \left(x \right) = F_{56}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{143}\! \left(x \right) F_{18}\! \left(x \right) F_{77}\! \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_165(x) + F_8(x))
Eq(F_8(x), F_22(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_68(x))
Eq(F_13(x), F_14(x) + F_19(x))
Eq(F_14(x), F_0(x)*F_15(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_20(x) + F_21(x))
Eq(F_20(x), F_11(x))
Eq(F_21(x), F_22(x) - F_25(x))
Eq(F_22(x), F_23(x) - F_58(x))
Eq(F_23(x), F_24(x) + F_41(x))
Eq(F_24(x), F_25(x) + F_26(x))
Eq(F_25(x), F_15(x)*F_2(x))
Eq(F_26(x), F_27(x)*F_36(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_33(x))
Eq(F_30(x), F_1(x) + F_31(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_30(x))
Eq(F_33(x), F_27(x) + F_34(x))
Eq(F_34(x), F_35(x))
Eq(F_35(x), F_18(x)*F_33(x))
Eq(F_36(x), F_18(x) + F_37(x))
Eq(F_37(x), F_38(x) + F_39(x) + F_40(x))
Eq(F_38(x), 0)
Eq(F_39(x), F_16(x)*F_18(x))
Eq(F_40(x), F_18(x)*F_36(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_18(x)*F_43(x))
Eq(F_43(x), F_148(x) + F_44(x))
Eq(F_44(x), F_45(x) + F_48(x))
Eq(F_45(x), F_20(x)*F_46(x))
Eq(F_46(x), F_47(x)/F_18(x))
Eq(F_47(x), F_2(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_30(x)*F_50(x)*F_80(x))
Eq(F_50(x), F_51(x) - F_58(x))
Eq(F_51(x), F_26(x) + F_52(x))
Eq(F_52(x), -F_147(x) + F_53(x))
Eq(F_53(x), F_54(x))
Eq(F_54(x), F_18(x)*F_55(x))
Eq(F_55(x), F_12(x) + F_56(x))
Eq(F_56(x), F_57(x)/F_18(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_18(x)*F_60(x))
Eq(F_60(x), F_145(x) + F_61(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_18(x)*F_64(x))
Eq(F_64(x), F_65(x) + F_72(x))
Eq(F_65(x), F_66(x)/F_18(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_70(x))
Eq(F_68(x), F_69(x))
Eq(F_69(x), F_18(x)*F_55(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_16(x)*F_62(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_15(x)*F_74(x))
Eq(F_74(x), F_75(x)/(F_142(x)*F_18(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_135(x)*F_18(x)*F_77(x))
Eq(F_77(x), F_78(x) + F_81(x))
Eq(F_78(x), F_79(x)/(F_18(x)*F_30(x)*F_80(x)))
Eq(F_79(x), F_56(x))
Eq(F_80(x), F_1(x) + F_27(x))
Eq(F_81(x), F_82(x)/F_18(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_23(x) - F_84(x))
Eq(F_84(x), F_85(x) + F_88(x))
Eq(F_85(x), -F_0(x) + F_86(x))
Eq(F_86(x), F_87(x)/F_18(x))
Eq(F_87(x), F_2(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_18(x)*F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_18(x)*F_30(x)*F_80(x)*F_92(x))
Eq(F_92(x), F_93(x)/F_130(x))
Eq(F_93(x), -F_126(x) + F_94(x))
Eq(F_94(x), F_95(x)/F_18(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), -F_100(x) + F_97(x))
Eq(F_97(x), F_98(x)/F_18(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), -F_2(x) + F_85(x))
Eq(F_100(x), F_101(x) + F_102(x))
Eq(F_101(x), F_0(x)*F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_18(x))
Eq(F_104(x), F_105(x) + F_109(x))
Eq(F_105(x), F_106(x)*F_86(x))
Eq(F_106(x), -F_0(x) + F_107(x))
Eq(F_107(x), F_108(x)/F_18(x))
Eq(F_108(x), F_2(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x)*F_18(x)*F_92(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_117(x))
Eq(F_114(x), F_115(x)/F_18(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_106(x) - F_2(x))
Eq(F_117(x), F_118(x) + F_119(x))
Eq(F_118(x), F_107(x)*F_2(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_111(x)*F_121(x)*F_18(x))
Eq(F_121(x), F_122(x) + F_2(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_18(x))
Eq(F_124(x), F_125(x) + F_84(x))
Eq(F_125(x), F_0(x) + F_122(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_18(x)*F_92(x))
Eq(F_128(x), F_129(x) + F_133(x))
Eq(F_129(x), F_130(x)*F_30(x))
Eq(F_130(x), F_0(x) + F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_128(x)*F_18(x))
Eq(F_133(x), F_134(x))
Eq(F_134(x), F_111(x)*F_18(x)*F_30(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_137(x)*F_18(x))
Eq(F_137(x), F_138(x) + F_15(x))
Eq(F_138(x), F_139(x) + F_16(x))
Eq(F_139(x), F_140(x))
Eq(F_140(x), F_141(x)*F_18(x))
Eq(F_141(x), F_139(x) + F_16(x))
Eq(F_142(x), F_143(x) + F_144(x))
Eq(F_143(x), F_1(x) + F_135(x))
Eq(F_144(x), F_15(x)*F_18(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_18(x)*F_60(x))
Eq(F_147(x), F_36(x)*F_80(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_163(x))
Eq(F_151(x), F_152(x) + F_153(x))
Eq(F_152(x), F_128(x)*F_78(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_155(x)*F_30(x)*F_80(x))
Eq(F_155(x), F_156(x) - F_72(x))
Eq(F_156(x), F_157(x)/F_18(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), -F_145(x) + F_159(x))
Eq(F_159(x), F_160(x) + F_161(x))
Eq(F_160(x), F_31(x)*F_53(x))
Eq(F_161(x), -F_162(x) + F_60(x))
Eq(F_162(x), F_30(x)*F_53(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_15(x)*F_30(x)*F_74(x)*F_80(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_18(x))
Eq(F_167(x), F_168(x) + F_175(x))
Eq(F_168(x), F_169(x) + F_174(x))
Eq(F_169(x), F_170(x) + F_7(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_172(x)*F_18(x))
Eq(F_172(x), F_173(x) + F_72(x))
Eq(F_173(x), F_15(x)*F_65(x))
Eq(F_174(x), F_56(x))
Eq(F_175(x), F_176(x))
Eq(F_176(x), F_143(x)*F_18(x)*F_77(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "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": [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": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 2], [0, 2], [0, 2], [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, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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, 2], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": 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