02341_02431_20341_20431_24031
Counting sequence:
1, 1, 2, 6, 24, 115, 614, 3505, 20908, 128618, 809350, 5182356, 33644000, 220881267, 1463706874, 9776068922, 65735383404, 444599857141, 3022452573452, 20640065878034, 141517132511472, 973806087982356, 6722764379842778, 46548278926824271, 323166267019154276, 2249138366572828402, 15688719004709776726, 109663895830829468040, 768028208309188897280, 5388499610944539135015, 37868836213894328856934, 266545406427271185330745, 1878849824759329730296060, 13261882775939604907187618, 93729178127513300464500450, 663236458518588051737346400, 4698467242507133119683161016, 33320461970652600560210342629, 236541756928568840037909728388, 1680829247439680294170531763074, 11954656680101484482292031449048, 85099833852712495700674427333044, 606289723070108584657046201467376, 4322895056793825231279983199259276, 30845829213871942369070051910408576, 220257562444010751427475256038946100, 1573852960974784786787175501248099470, 11253397136086399744911985897006323376, 80515098331821760617401632485701861236, 576413277098733582311255778153831529797, 4128982554346926866476346660740194210620, 29593384106917672058749523466150955010266, 212216619412970068403801764826000258931600, 1522609489411214139346221284769195386473656, 10929838566570938562659984286262170978067618, 78495939489440118700578453528416852553358703, 564003037687167412756499224669239604090272308, 4054240182910923737492009258260327022338140014, 29155777184094023060002513313102106785386827302, 209758983390434902387722836500160325787868619728, 1509702286189891477979320149607609690807028944256, 10870040126769629739128232105210501731484381661275, 78295111314823068925092090877544758294087330170778, 564152660926672944346140301610580272924400123362954, 4066419768269707277930290520486395872390709965531100, 29320856387473582785854270215355155606581973202855661, 211487881727256742859841327397558859670271322613008668, 1525929386065884583669132964794917987983405468401668762, 11013349140191420123689419728815300226558635923828411664, 79512697199002815782089914086103302462113424635658289028, 574224775321058373363037489341905099611634406916061050622, 4148127938619589504431889505859330621943763478612352461937, 29973930542736324287459134689690200050156221367243244820428, 216647305567360350853636616320358821723235954643474428111250, 1566310165275869779561383251031187650638106772884314928258882, 11326978691761112514709086716015888800507744033345085725842800, 81933088615717716926896417615305472678784450326015433253917632, 592803409676290088584628401871558996405959463524750852082924461, 4290080948955368809147233710046026264698287055002155891714721188, 31054255032228791072599624267296906590585634679716540142676293386, 224840779331935611602754639875124085225076689555182088821577026152, 1628264606788369961700585351190386314426950538558564005957553684396, 11794200368502876865597860582454632682934710390142242089676976717416, 85448295807113449280747370725159754023758465633908670929100627291440, 619195143137685807657041506042803310540181596117199173799633067779840, 4487855147291481701670906925883552273728975433868869595507297723336120, 32533835722844769461047605176263050114729632950376959944339297970031272, 235892927446331492897956700374713050072687465584045711015474145544820288, 1710708101281941966055252228408284077305259549435660439131539263693708880, 12408418638345496457552808950213498277974383611938021059328703361766731804, 90019116881900157819508304255435679473047646032635330487462099068236389872, 653174397496808752069977251214643876525803871997021661031007322097272855096, 4740214751229595104649201540947119656356692895494913353804702893052299853520, 34406441435032992314257245460383188434981245387752637723067385502935427885096, 249777226575195305533081657408432732962688605378433016888175537704532880107098, 1813576078083532537168924391166260374383370970678607772656093762737730119570247, 13170041300785686819638455024007798785910926444134186508485557253852546448929796, 95654524992562062236787860392193918875704538009503830833067921793010977057248682, 694847619563948870791170737721715506729049914223490763559617714521921049909063154, 5048216702777005771489963181258701462245829297327603659577851235635497574710899600, 36681703261917802406383010912069266447105258538554160846146025559060190022276822648
Implicit equation for the generating function in Maple syntax:
x^3*(x-1)*F(x)^6-x*(x^3+4*x^2-6*x+2)*F(x)^5+x*(5*x^2-8*x+4)*F(x)^4+(-x^3+x^2-3*x+1)*F(x)^3+(x+3)*(x-1)*F(x)^2+(-x+3)*F(x)-1 = 0
Implicit equation for the generating function in latex syntax:
x^{3} \left(x -1\right) F \! \left(x \right)^{6}-x \left(x^{3}+4 x^{2}-6 x +2\right) F \! \left(x \right)^{5}+x \left(5 x^{2}-8 x +4\right) F \! \left(x \right)^{4}+\left(-x^{3}+x^{2}-3 x +1\right) F \! \left(x \right)^{3}+\left(x +3\right) \left(x -1\right) F \! \left(x \right)^{2}+\left(-x +3\right) F \! \left(x \right)-1 = 0
Recurrence in maple format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 115
a(6) = 614
a(7) = 3505
a(8) = 20908
a(9) = 128618
a(10) = 809350
a(11) = 5182356
a(12) = 33644000
a(13) = 220881267
a(14) = 1463706874
a(15) = 9776068922
a(16) = 65735383404
a(17) = 444599857141
a(18) = 3022452573452
a(19) = 20640065878034
a(20) = 141517132511472
a(21) = 973806087982356
a(22) = 6722764379842778
a(23) = 46548278926824271
a(24) = 323166267019154276
a(25) = 2249138366572828402
a(26) = 15688719004709776726
a(27) = 109663895830829468040
a(28) = 768028208309188897280
a(29) = 5388499610944539135015
a(30) = 37868836213894328856934
a(31) = 266545406427271185330745
a(32) = 1878849824759329730296060
a(33) = 13261882775939604907187618
a(34) = 93729178127513300464500450
a(35) = 663236458518588051737346400
a(36) = 4698467242507133119683161016
a(37) = 33320461970652600560210342629
a(38) = 236541756928568840037909728388
a(39) = 1680829247439680294170531763074
a(40) = 11954656680101484482292031449048
a(41) = 85099833852712495700674427333044
a(42) = 606289723070108584657046201467376
a(43) = 4322895056793825231279983199259276
a(44) = 30845829213871942369070051910408576
a(45) = 220257562444010751427475256038946100
a(46) = 1573852960974784786787175501248099470
a(47) = 11253397136086399744911985897006323376
a(n+48) = 1/13762560*(7731847818067523539*n^5+1534343548471988231030*n^4+121735965980170012722305*n^3+4827021707162289034415350*n^2+95653420111431336101163456*n+757825630135709448347056440)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+40)-1/6881280*(276907819115298817*n^5+56073187794044661860*n^4+4539037886298648105380*n^3+183596342847082789120480*n^2+3710637341017822963836663*n+29977769631186589551737760)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+41)+1/1146880*(2129874242931927*n^5+437669568485816935*n^4+35934968297003162625*n^3+1473509370600526043285*n^2+30173594990458891900668*n+246831635027417164212240)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+42)-1/860160*(17601641463284*n^5+3358182591896875*n^4+251467786185026005*n^3+9178925521650862955*n^2+161609842351445886411*n+1077471130017908290950)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+43)-1/430080*(1915536456164*n^5+429798971477305*n^4+38564555506683895*n^3+1729694939596068380*n^2+38780119469366045316*n+347694183245253836880)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+44)+1/43008*(16870368866*n^5+3813513829711*n^4+344770452842068*n^3+15582934662511175*n^2+352114135736478180*n+3182168319381553248)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+45)-1/3584*(60223364*n^5+13849056328*n^4+1273682089661*n^3+58559628905069*n^2+1345961736203612*n+12372427908085536)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+46)+1/224*(87900*n^5+20601492*n^4+1930989277*n^3+90478001655*n^2+2119281455051*n+19852139470905)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+47)+121/220200960*(n+3)*(n+2)*(n+1)*(117174349*n^2+723457916*n+820141140)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+1)+1/73400320*(n+3)*(12747651815227*n^4+222920449363144*n^3+1447432003274493*n^2+4135640790891036*n+4387253013631360)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+3)-1/7046430720*(18650804307112593115511849*n^5+1550903418590239965620237260*n^4+51428316166092750139773583525*n^3+850311069505992461752841810750*n^2+7011528967300102698685001411136*n+23071984531195809543915190503600)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+15)+1/2348810240*(28485076469064352392447834*n^5+2469076050166376074639316475*n^4+85495247073774204655367534555*n^3+1478355540741597045371444901325*n^2+12766494405941851538785417927071*n+44048829956289382495084698156060)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+16)-1/7046430720*(304336605893047449726144686*n^5+27684374396556482356064867395*n^4+1006617127418433728866405185025*n^3+18287842700572719404082517386620*n^2+166011459980241493643332947498804*n+602406107837729873785866696071040)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+17)+1/9395240960*(1195681269914584127639295851*n^5+114259035997890654429121260105*n^4+4365464483556978407752401188735*n^3+83358226531192692453763327037535*n^2+795513771095007815094601551318014*n+3035436007604196508462597823945280)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+18)+1/220200960*(377254049686667082544123*n^5+68138800772151427598270405*n^4+4921727694452263742398278125*n^3+177711008092338314375989941355*n^2+3207641527711304381898993510732*n+23153845636778929650736073903700)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+36)-1/73400320*(23093778118551864219263*n^5+4275710003684384095013945*n^4+316566562096008140918702915*n^3+11715909466559172156537242715*n^2+216741324080898846014463114522*n+1603440025405050133256980530000)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+37)+1/36700160*(1747701998381196551227*n^5+331450358914546110949680*n^4+25135716362639892184494965*n^3+952786520965295024400640400*n^2+18052250014046669292013349008*n+136769178715006480787288090400)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+38)-1/13762560*(80288145525671635813*n^5+15584158414511776468295*n^4+1209511645096495280251025*n^3+46918094756082980439564355*n^2+909647276302140464336013942*n+7051745537616294267891863490)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+39)-1/14092861440*(4502194825426387366502260453*n^5+451649537247705941958966500870*n^4+18117717646017028460984441424635*n^3+363279551121010601509444332495130*n^2+3640950497603237971616056834917612*n+14592027877836148958302961814941280)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+19)+1/9395240960*(6530390400356011267464375287*n^5+686846458422385597814285028395*n^4+28889360452563204517153064992315*n^3+607412546241057967621403962186325*n^2+6384059006217101419778887458348638*n+26832861090726132628585618593078240)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+20)-1/2818572288*(3735376452578875089860231503*n^5+411251329940588974513022043317*n^4+18107413701571570374070420803941*n^3+398557523230519323605444790519265*n^2+4385411070095274651233908451875854*n+19297607450098268541678859945629792)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+21)+1/5637144576*(12560707639531989023657759005*n^5+1444976196374158618243726892843*n^4+66480395087073961391473122765173*n^3+1529050868406270854068785912245317*n^2+17581048491290608638372634421866374*n+80844611999722977668829418365687576)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+22)-1/146800640*(593420218371539*n^5+14765871309868785*n^4+146250488230265755*n^3+720615287065534335*n^2+1766091473726185146*n+1722150171424313880)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+4)+1/176160768*(11898164831140487*n^5+350076582196969432*n^4+4110717639657793969*n^3+24075481609032539984*n^2+70318154421265348848*n+81927287665148698776)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+5)-1/293601280*(253949122183741763*n^5+8647974566468180955*n^4+117653008387831083195*n^3+799225265200347767075*n^2+2710597596214775904392*n+3671455946792453864460)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+6)+1/293601280*(2581854725012700094*n^5+99931675788859447725*n^4+1545747741966135636075*n^3+11943156371600126934000*n^2+46091169131040967016906*n+71072191785046469428560)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+7)-1/880803840*(63453843517874653127*n^5+2747563612692829133605*n^4+47544426601125252572410*n^3+410970663699338063260325*n^2+1774470907627435134938853*n+3061622629898942268537180)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+8)-1372261/22020096*n*(2*n+1)*(n+3)*(n+2)*(n+1)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n)+1/587202560*(156839581440052343137394027*n^5+25471713934466519162196119315*n^4+1654534222105173015850323992640*n^3+53730393413981041113713861795795*n^2+872353471319456600867870442315873*n+5664800770272925350522645010233510)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+32)-1/146800640*(14182966601087239933534472*n^5+2368168171783645576009543065*n^4+158148056734806890239744413010*n^3+5279985408878372026543712963720*n^2+88129388801991589034745523816183*n+588328040592414614946487979091210)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+33)+1/1761607680*(52469088412039523749413461*n^5+8999975518453504948757589955*n^4+617408971106125520845944707995*n^3+21174345199846745062214852076965*n^2+363039677828185651296875134081944*n+2489412192599806066982013170363280)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+34)-1/352321536*(2742707896262077586244797*n^5+482929316235704990174236135*n^4+34006884451900187533377862957*n^3+1197128725367562245710681094201*n^2+21067209765539087568461984308542*n+148271180449951821976759796155848)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+35)-1/14092861440*(46650464079766361698388361383*n^5+5596794619267737868615167427270*n^4+268543877280336885814600933781605*n^3+6441585722098562021494689862192010*n^2+77245122668253282337045277016218172*n+370458101777353329835109817887580000)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+23)+1/14092861440*(61153134784819744274791605749*n^5+7636278758349941179243752126790*n^4+381366409382040427465410682318315*n^3+9521602699671222794063510604668750*n^2+118845813757928628749119942786643856*n+593270996419961331005944831200417180)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+24)-1/4697620480*(23496860034591082886067432367*n^5+3048004741164763128997244551460*n^4+158133779223548514975003222858685*n^3+4101535234096398801986048974640220*n^2+53183942547760782062954926935027308*n+275814006494461262988055156466712360)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+25)-11/220200960*(n+2)*(n+3)*(95272389953*n^3+1073383234590*n^2+3866660692927*n+4429071314280)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+2)+1/1761607680*(838410858087292253413*n^5+40042579806271339264190*n^4+764100673973273647376315*n^3+7281887162520316044027970*n^2+34657133791755013447594092*n+65898634451773374116555400)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+9)-1/587202560*(1470103420920584710653*n^5+76401529286438698108120*n^4+1585481449116752269439410*n^3+16421292553893880761821020*n^2+84880682447741533783115427*n+175153980672266340774562530)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+10)+1/704643072*(7104343218127887964963*n^5+395094640665699680695316*n^4+8757954457952149092844520*n^3+96692778952339980151945711*n^2+531499089588341632209369366*n+1163081865309080517025533720)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+11)+1/1879048192*(9485477836111064932937179653*n^5+1275918343582773551253455967033*n^4+68642955003234303432322285458265*n^3+1846240787159825254027056326609287*n^2+24825600841171684911534536592366322*n+133511891446098882157170704575246224)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+26)-1/1174405120*(5216409798861513352680111376*n^5+726402227213486900788387381715*n^4+40457422872228038623950725507950*n^3+1126535814586850645045650187875105*n^2+15682583500914541724999562272742364*n+87318451544337941491739835469114410)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+27)+1/2348810240*(7973876947351988075257112079*n^5+1147818515759492489611599226035*n^4+66084193307264754114301263015685*n^3+1902186546635747691152143852591085*n^2+27374119523497789896971761849980816*n+157561122556483173536151493504933380)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+28)-1/7046430720*(191371609211320039849357*n^5+10939628525443005752001140*n^4+246824464105638358899344585*n^3+2737977507197157167122962760*n^2+14855670775548911195283760158*n+31287205771381907712278768160)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+12)+1/2348810240*(30113418233043575092784*n^5+100200818398816745117865*n^4-51250317492868497444822220*n^3-1443921689363059700234489035*n^2-14979514747978119511398691314*n-54988824000660576977286435840)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+13)+1/7046430720*(2573310228210610676660134*n^5+213427612852978057707668555*n^4+6990513229541192099201200400*n^3+113294969702731500101213778805*n^2+910161553021049860841805232326*n+2903369524703046679374906893460)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+14)-1/2348810240*(5277263562044206768991988401*n^5+784215098426536563670647886585*n^4+46610669253955069325381280885395*n^3+1385064522026160844792166862050695*n^2+20577372564482441919810180605272224*n+122274452922794508016218296666446620)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+29)+1/3523215360*(4523863281037894222106651099*n^5+693175643692426273112977886440*n^4+42481628025196693231113954094825*n^3+1301649814005246946025261078733680*n^2+19939917669888387461097564306950976*n+122174259863027891315307901308574020)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+30)-1/7046430720*(4453059313807702139202452507*n^5+702807282965147272437310839505*n^4+44364462158507948136081365555215*n^3+1400124877235099735349970529108615*n^2+22091857167543973067959369795885278*n+139419279680624834486652932627761200)/(2*n+97)/(2*n+93)/(n+50)/(n+48)/(n+46)*a(n+31), n >= 48
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 115
a(6) = 614
a(7) = 3505
a(8) = 20908
a(9) = 128618
a(10) = 809350
a(11) = 5182356
a(12) = 33644000
a(13) = 220881267
a(14) = 1463706874
a(15) = 9776068922
a(16) = 65735383404
a(17) = 444599857141
a(18) = 3022452573452
a(19) = 20640065878034
a(20) = 141517132511472
a(21) = 973806087982356
a(22) = 6722764379842778
a(23) = 46548278926824271
a(24) = 323166267019154276
a(25) = 2249138366572828402
a(26) = 15688719004709776726
a(27) = 109663895830829468040
a(28) = 768028208309188897280
a(29) = 5388499610944539135015
a(30) = 37868836213894328856934
a(31) = 266545406427271185330745
a(32) = 1878849824759329730296060
a(33) = 13261882775939604907187618
a(34) = 93729178127513300464500450
a(35) = 663236458518588051737346400
a(36) = 4698467242507133119683161016
a(37) = 33320461970652600560210342629
a(38) = 236541756928568840037909728388
a(39) = 1680829247439680294170531763074
a(40) = 11954656680101484482292031449048
a(41) = 85099833852712495700674427333044
a(42) = 606289723070108584657046201467376
a(43) = 4322895056793825231279983199259276
a(44) = 30845829213871942369070051910408576
a(45) = 220257562444010751427475256038946100
a(46) = 1573852960974784786787175501248099470
a(47) = 11253397136086399744911985897006323376
a{\left(n + 48 \right)} = - \frac{1372261 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(2 n + 1\right) a{\left(n \right)}}{22020096 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{121 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(117174349 n^{2} + 723457916 n + 820141140\right) a{\left(n + 1 \right)}}{220200960 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{11 \left(n + 2\right) \left(n + 3\right) \left(95272389953 n^{3} + 1073383234590 n^{2} + 3866660692927 n + 4429071314280\right) a{\left(n + 2 \right)}}{220200960 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(n + 3\right) \left(12747651815227 n^{4} + 222920449363144 n^{3} + 1447432003274493 n^{2} + 4135640790891036 n + 4387253013631360\right) a{\left(n + 3 \right)}}{73400320 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(87900 n^{5} + 20601492 n^{4} + 1930989277 n^{3} + 90478001655 n^{2} + 2119281455051 n + 19852139470905\right) a{\left(n + 47 \right)}}{224 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(60223364 n^{5} + 13849056328 n^{4} + 1273682089661 n^{3} + 58559628905069 n^{2} + 1345961736203612 n + 12372427908085536\right) a{\left(n + 46 \right)}}{3584 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(16870368866 n^{5} + 3813513829711 n^{4} + 344770452842068 n^{3} + 15582934662511175 n^{2} + 352114135736478180 n + 3182168319381553248\right) a{\left(n + 45 \right)}}{43008 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(1915536456164 n^{5} + 429798971477305 n^{4} + 38564555506683895 n^{3} + 1729694939596068380 n^{2} + 38780119469366045316 n + 347694183245253836880\right) a{\left(n + 44 \right)}}{430080 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(17601641463284 n^{5} + 3358182591896875 n^{4} + 251467786185026005 n^{3} + 9178925521650862955 n^{2} + 161609842351445886411 n + 1077471130017908290950\right) a{\left(n + 43 \right)}}{860160 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(593420218371539 n^{5} + 14765871309868785 n^{4} + 146250488230265755 n^{3} + 720615287065534335 n^{2} + 1766091473726185146 n + 1722150171424313880\right) a{\left(n + 4 \right)}}{146800640 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(2129874242931927 n^{5} + 437669568485816935 n^{4} + 35934968297003162625 n^{3} + 1473509370600526043285 n^{2} + 30173594990458891900668 n + 246831635027417164212240\right) a{\left(n + 42 \right)}}{1146880 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(11898164831140487 n^{5} + 350076582196969432 n^{4} + 4110717639657793969 n^{3} + 24075481609032539984 n^{2} + 70318154421265348848 n + 81927287665148698776\right) a{\left(n + 5 \right)}}{176160768 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(253949122183741763 n^{5} + 8647974566468180955 n^{4} + 117653008387831083195 n^{3} + 799225265200347767075 n^{2} + 2710597596214775904392 n + 3671455946792453864460\right) a{\left(n + 6 \right)}}{293601280 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(276907819115298817 n^{5} + 56073187794044661860 n^{4} + 4539037886298648105380 n^{3} + 183596342847082789120480 n^{2} + 3710637341017822963836663 n + 29977769631186589551737760\right) a{\left(n + 41 \right)}}{6881280 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(2581854725012700094 n^{5} + 99931675788859447725 n^{4} + 1545747741966135636075 n^{3} + 11943156371600126934000 n^{2} + 46091169131040967016906 n + 71072191785046469428560\right) a{\left(n + 7 \right)}}{293601280 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(7731847818067523539 n^{5} + 1534343548471988231030 n^{4} + 121735965980170012722305 n^{3} + 4827021707162289034415350 n^{2} + 95653420111431336101163456 n + 757825630135709448347056440\right) a{\left(n + 40 \right)}}{13762560 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(63453843517874653127 n^{5} + 2747563612692829133605 n^{4} + 47544426601125252572410 n^{3} + 410970663699338063260325 n^{2} + 1774470907627435134938853 n + 3061622629898942268537180\right) a{\left(n + 8 \right)}}{880803840 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(80288145525671635813 n^{5} + 15584158414511776468295 n^{4} + 1209511645096495280251025 n^{3} + 46918094756082980439564355 n^{2} + 909647276302140464336013942 n + 7051745537616294267891863490\right) a{\left(n + 39 \right)}}{13762560 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(838410858087292253413 n^{5} + 40042579806271339264190 n^{4} + 764100673973273647376315 n^{3} + 7281887162520316044027970 n^{2} + 34657133791755013447594092 n + 65898634451773374116555400\right) a{\left(n + 9 \right)}}{1761607680 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(1470103420920584710653 n^{5} + 76401529286438698108120 n^{4} + 1585481449116752269439410 n^{3} + 16421292553893880761821020 n^{2} + 84880682447741533783115427 n + 175153980672266340774562530\right) a{\left(n + 10 \right)}}{587202560 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(1747701998381196551227 n^{5} + 331450358914546110949680 n^{4} + 25135716362639892184494965 n^{3} + 952786520965295024400640400 n^{2} + 18052250014046669292013349008 n + 136769178715006480787288090400\right) a{\left(n + 38 \right)}}{36700160 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(7104343218127887964963 n^{5} + 395094640665699680695316 n^{4} + 8757954457952149092844520 n^{3} + 96692778952339980151945711 n^{2} + 531499089588341632209369366 n + 1163081865309080517025533720\right) a{\left(n + 11 \right)}}{704643072 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(23093778118551864219263 n^{5} + 4275710003684384095013945 n^{4} + 316566562096008140918702915 n^{3} + 11715909466559172156537242715 n^{2} + 216741324080898846014463114522 n + 1603440025405050133256980530000\right) a{\left(n + 37 \right)}}{73400320 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(30113418233043575092784 n^{5} + 100200818398816745117865 n^{4} - 51250317492868497444822220 n^{3} - 1443921689363059700234489035 n^{2} - 14979514747978119511398691314 n - 54988824000660576977286435840\right) a{\left(n + 13 \right)}}{2348810240 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(191371609211320039849357 n^{5} + 10939628525443005752001140 n^{4} + 246824464105638358899344585 n^{3} + 2737977507197157167122962760 n^{2} + 14855670775548911195283760158 n + 31287205771381907712278768160\right) a{\left(n + 12 \right)}}{7046430720 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(377254049686667082544123 n^{5} + 68138800772151427598270405 n^{4} + 4921727694452263742398278125 n^{3} + 177711008092338314375989941355 n^{2} + 3207641527711304381898993510732 n + 23153845636778929650736073903700\right) a{\left(n + 36 \right)}}{220200960 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(2573310228210610676660134 n^{5} + 213427612852978057707668555 n^{4} + 6990513229541192099201200400 n^{3} + 113294969702731500101213778805 n^{2} + 910161553021049860841805232326 n + 2903369524703046679374906893460\right) a{\left(n + 14 \right)}}{7046430720 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(2742707896262077586244797 n^{5} + 482929316235704990174236135 n^{4} + 34006884451900187533377862957 n^{3} + 1197128725367562245710681094201 n^{2} + 21067209765539087568461984308542 n + 148271180449951821976759796155848\right) a{\left(n + 35 \right)}}{352321536 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(14182966601087239933534472 n^{5} + 2368168171783645576009543065 n^{4} + 158148056734806890239744413010 n^{3} + 5279985408878372026543712963720 n^{2} + 88129388801991589034745523816183 n + 588328040592414614946487979091210\right) a{\left(n + 33 \right)}}{146800640 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(18650804307112593115511849 n^{5} + 1550903418590239965620237260 n^{4} + 51428316166092750139773583525 n^{3} + 850311069505992461752841810750 n^{2} + 7011528967300102698685001411136 n + 23071984531195809543915190503600\right) a{\left(n + 15 \right)}}{7046430720 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(28485076469064352392447834 n^{5} + 2469076050166376074639316475 n^{4} + 85495247073774204655367534555 n^{3} + 1478355540741597045371444901325 n^{2} + 12766494405941851538785417927071 n + 44048829956289382495084698156060\right) a{\left(n + 16 \right)}}{2348810240 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(52469088412039523749413461 n^{5} + 8999975518453504948757589955 n^{4} + 617408971106125520845944707995 n^{3} + 21174345199846745062214852076965 n^{2} + 363039677828185651296875134081944 n + 2489412192599806066982013170363280\right) a{\left(n + 34 \right)}}{1761607680 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(156839581440052343137394027 n^{5} + 25471713934466519162196119315 n^{4} + 1654534222105173015850323992640 n^{3} + 53730393413981041113713861795795 n^{2} + 872353471319456600867870442315873 n + 5664800770272925350522645010233510\right) a{\left(n + 32 \right)}}{587202560 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(304336605893047449726144686 n^{5} + 27684374396556482356064867395 n^{4} + 1006617127418433728866405185025 n^{3} + 18287842700572719404082517386620 n^{2} + 166011459980241493643332947498804 n + 602406107837729873785866696071040\right) a{\left(n + 17 \right)}}{7046430720 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(1195681269914584127639295851 n^{5} + 114259035997890654429121260105 n^{4} + 4365464483556978407752401188735 n^{3} + 83358226531192692453763327037535 n^{2} + 795513771095007815094601551318014 n + 3035436007604196508462597823945280\right) a{\left(n + 18 \right)}}{9395240960 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(3735376452578875089860231503 n^{5} + 411251329940588974513022043317 n^{4} + 18107413701571570374070420803941 n^{3} + 398557523230519323605444790519265 n^{2} + 4385411070095274651233908451875854 n + 19297607450098268541678859945629792\right) a{\left(n + 21 \right)}}{2818572288 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(4453059313807702139202452507 n^{5} + 702807282965147272437310839505 n^{4} + 44364462158507948136081365555215 n^{3} + 1400124877235099735349970529108615 n^{2} + 22091857167543973067959369795885278 n + 139419279680624834486652932627761200\right) a{\left(n + 31 \right)}}{7046430720 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(4502194825426387366502260453 n^{5} + 451649537247705941958966500870 n^{4} + 18117717646017028460984441424635 n^{3} + 363279551121010601509444332495130 n^{2} + 3640950497603237971616056834917612 n + 14592027877836148958302961814941280\right) a{\left(n + 19 \right)}}{14092861440 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(4523863281037894222106651099 n^{5} + 693175643692426273112977886440 n^{4} + 42481628025196693231113954094825 n^{3} + 1301649814005246946025261078733680 n^{2} + 19939917669888387461097564306950976 n + 122174259863027891315307901308574020\right) a{\left(n + 30 \right)}}{3523215360 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(5216409798861513352680111376 n^{5} + 726402227213486900788387381715 n^{4} + 40457422872228038623950725507950 n^{3} + 1126535814586850645045650187875105 n^{2} + 15682583500914541724999562272742364 n + 87318451544337941491739835469114410\right) a{\left(n + 27 \right)}}{1174405120 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(5277263562044206768991988401 n^{5} + 784215098426536563670647886585 n^{4} + 46610669253955069325381280885395 n^{3} + 1385064522026160844792166862050695 n^{2} + 20577372564482441919810180605272224 n + 122274452922794508016218296666446620\right) a{\left(n + 29 \right)}}{2348810240 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(6530390400356011267464375287 n^{5} + 686846458422385597814285028395 n^{4} + 28889360452563204517153064992315 n^{3} + 607412546241057967621403962186325 n^{2} + 6384059006217101419778887458348638 n + 26832861090726132628585618593078240\right) a{\left(n + 20 \right)}}{9395240960 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(7973876947351988075257112079 n^{5} + 1147818515759492489611599226035 n^{4} + 66084193307264754114301263015685 n^{3} + 1902186546635747691152143852591085 n^{2} + 27374119523497789896971761849980816 n + 157561122556483173536151493504933380\right) a{\left(n + 28 \right)}}{2348810240 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(9485477836111064932937179653 n^{5} + 1275918343582773551253455967033 n^{4} + 68642955003234303432322285458265 n^{3} + 1846240787159825254027056326609287 n^{2} + 24825600841171684911534536592366322 n + 133511891446098882157170704575246224\right) a{\left(n + 26 \right)}}{1879048192 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(12560707639531989023657759005 n^{5} + 1444976196374158618243726892843 n^{4} + 66480395087073961391473122765173 n^{3} + 1529050868406270854068785912245317 n^{2} + 17581048491290608638372634421866374 n + 80844611999722977668829418365687576\right) a{\left(n + 22 \right)}}{5637144576 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(23496860034591082886067432367 n^{5} + 3048004741164763128997244551460 n^{4} + 158133779223548514975003222858685 n^{3} + 4101535234096398801986048974640220 n^{2} + 53183942547760782062954926935027308 n + 275814006494461262988055156466712360\right) a{\left(n + 25 \right)}}{4697620480 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} - \frac{\left(46650464079766361698388361383 n^{5} + 5596794619267737868615167427270 n^{4} + 268543877280336885814600933781605 n^{3} + 6441585722098562021494689862192010 n^{2} + 77245122668253282337045277016218172 n + 370458101777353329835109817887580000\right) a{\left(n + 23 \right)}}{14092861440 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)} + \frac{\left(61153134784819744274791605749 n^{5} + 7636278758349941179243752126790 n^{4} + 381366409382040427465410682318315 n^{3} + 9521602699671222794063510604668750 n^{2} + 118845813757928628749119942786643856 n + 593270996419961331005944831200417180\right) a{\left(n + 24 \right)}}{14092861440 \left(n + 46\right) \left(n + 48\right) \left(n + 50\right) \left(2 n + 93\right) \left(2 n + 97\right)}, \quad n \geq 48
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24387/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[50,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[13,x]
F[11,x] = F[12,x]*F[2,x]
F[12,x] = 2+F[12,x]^2+(-2+x)*F[12,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]+F[20,x]
F[16,x] = F[17,x]*F[19,x]
F[17,x] = 1/F[4,x]*F[18,x]
F[18,x] = F[2,x]
F[19,x] = -F[12,x]+F[5,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]*F[5,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = -F[31,x]+F[25,x]
F[25,x] = 1/F[4,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[2,x]+F[28,x]
F[28,x] = -F[0,x]+F[29,x]
F[29,x] = 1/F[4,x]*F[30,x]
F[30,x] = F[2,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[0,x]*F[2,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[44,x]
F[36,x] = F[37,x]*F[5,x]
F[37,x] = F[2,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[17,x]*F[2,x]
F[42,x] = F[43,x]
F[43,x] = F[0,x]*F[22,x]*F[4,x]
F[44,x] = F[45,x]
F[45,x] = F[0,x]*F[4,x]*F[46,x]*F[48,x]
F[46,x] = F[0,x]+F[47,x]
F[47,x] = F[2,x]+F[38,x]
F[48,x] = 1/F[0,x]/F[4,x]*F[49,x]
F[49,x] = F[24,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[248,x]+F[53,x]
F[53,x] = F[54,x]+F[83,x]
F[54,x] = F[46,x]*F[55,x]
F[55,x] = F[56,x]+F[71,x]
F[56,x] = F[12,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[56,x]*F[59,x]
F[59,x] = 1/F[0,x]*F[60,x]
F[60,x] = -F[67,x]+F[61,x]
F[61,x] = 1/F[4,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (1+F[64,x])*x+F[64,x]^2
F[65,x] = -F[2,x]+F[66,x]
F[66,x] = -F[12,x]+F[17,x]
F[67,x] = -F[70,x]+F[68,x]
F[68,x] = 1/F[4,x]*F[69,x]
F[69,x] = F[65,x]
F[70,x] = F[2,x]*F[59,x]
F[71,x] = -F[75,x]+F[72,x]
F[72,x] = 1/F[4,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = -F[2,x]+F[19,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[2,x]*F[56,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[17,x]*F[71,x]
F[81,x] = F[82,x]
F[82,x] = F[22,x]*F[4,x]*F[55,x]
F[83,x] = F[84,x]
F[84,x] = F[245,x]*F[4,x]*F[85,x]
F[85,x] = 1/F[228,x]/F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[226,x]+F[88,x]
F[88,x] = F[222,x]+F[89,x]
F[89,x] = 1/F[0,x]^2*F[90,x]
F[90,x] = -F[218,x]+F[91,x]
F[91,x] = -F[205,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[171,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[4,x]*F[96,x]
F[96,x] = 1/F[4,x]*F[97,x]
F[97,x] = F[98,x]
F[98,x] = -F[170,x]+F[99,x]
F[99,x] = 1/F[4,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[4,x]
F[103,x] = F[104,x]+F[169,x]
F[104,x] = F[105,x]+F[145,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[2,x]*F[46,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = F[110,x]+F[137,x]
F[110,x] = F[111,x]*F[2,x]
F[111,x] = F[112,x]+F[123,x]
F[112,x] = F[113,x]+F[120,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]+F[5,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[4,x]*F[117,x]
F[117,x] = F[38,x]
F[118,x] = F[119,x]
F[119,x] = F[0,x]*F[4,x]*F[48,x]
F[120,x] = 1/F[4,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[37,x]+F[115,x]
F[123,x] = -F[120,x]+F[124,x]
F[124,x] = 1/F[4,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = -F[37,x]+F[127,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[4,x]*F[129,x]
F[129,x] = F[38,x]
F[130,x] = F[131,x]+F[89,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[134,x]*F[4,x]
F[133,x] = F[126,x]+F[47,x]
F[134,x] = 1/F[136,x]/F[4,x]*F[135,x]
F[135,x] = F[130,x]
F[136,x] = F[133,x]+F[46,x]
F[137,x] = F[138,x]
F[138,x] = -F[159,x]+F[139,x]
F[139,x] = 1/F[4,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[4,x]
F[142,x] = F[143,x]+F[147,x]
F[143,x] = 1/F[4,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[105,x]*F[134,x]*F[4,x]
F[147,x] = 1/F[4,x]*F[148,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[134,x]*F[151,x]*F[4,x]
F[151,x] = F[152,x]+F[157,x]
F[152,x] = -F[155,x]+F[153,x]
F[153,x] = 1/F[4,x]*F[154,x]
F[154,x] = F[27,x]
F[155,x] = F[101,x]+F[156,x]
F[156,x] = F[0,x]*F[2,x]
F[157,x] = F[158,x]
F[158,x] = F[152,x]*F[4,x]*F[46,x]
F[159,x] = F[160,x]*F[2,x]
F[160,x] = 1/F[4,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = -F[165,x]+F[163,x]
F[163,x] = 1/F[4,x]*F[164,x]
F[164,x] = F[38,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[4,x]
F[167,x] = 1/F[4,x]*F[168,x]
F[168,x] = F[127,x]
F[169,x] = F[149,x]+F[151,x]
F[170,x] = F[29,x]*F[47,x]
F[171,x] = F[172,x]
F[172,x] = F[134,x]*F[173,x]*F[4,x]
F[173,x] = 1/F[4,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[176,x]+F[152,x]
F[176,x] = F[177,x]
F[177,x] = F[0,x]^2*F[178,x]*F[4,x]
F[178,x] = 1/F[4,x]*F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[185,x]
F[182,x] = F[183,x]+F[46,x]
F[183,x] = F[184,x]
F[184,x] = F[4,x]*F[85,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[4,x]
F[187,x] = F[188,x]+F[204,x]
F[188,x] = F[189,x]*F[46,x]
F[189,x] = F[190,x]+F[203,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[0,x]+F[192,x]
F[192,x] = F[2,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[0,x]*F[189,x]
F[197,x] = F[192,x]*F[198,x]
F[198,x] = F[199,x]+F[202,x]
F[199,x] = F[0,x]+F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[0,x]*F[198,x]*F[4,x]
F[202,x] = F[200,x]
F[203,x] = F[202,x]
F[204,x] = F[183,x]*F[198,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[4,x]
F[207,x] = F[208,x]
F[208,x] = F[134,x]*F[209,x]*F[4,x]
F[209,x] = 1/F[4,x]*F[210,x]
F[210,x] = F[211,x]
F[211,x] = -F[214,x]+F[212,x]
F[212,x] = 1/F[4,x]*F[213,x]
F[213,x] = F[176,x]
F[214,x] = F[215,x]+F[216,x]
F[215,x] = F[0,x]^2*F[46,x]
F[216,x] = F[217,x]
F[217,x] = F[0,x]^3*F[178,x]*F[4,x]
F[218,x] = F[219,x]
F[219,x] = F[0,x]^2*F[178,x]*F[220,x]*F[4,x]
F[220,x] = F[221,x]
F[221,x] = F[0,x]*F[134,x]*F[4,x]
F[222,x] = F[223,x]
F[223,x] = F[224,x]*F[4,x]
F[224,x] = F[225,x]
F[225,x] = F[112,x]*F[134,x]*F[4,x]
F[226,x] = F[227,x]
F[227,x] = F[134,x]*F[4,x]*F[88,x]
F[228,x] = 1/F[4,x]/F[46,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[243,x]
F[231,x] = F[232,x]
F[232,x] = F[233,x]*F[234,x]*F[4,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]+F[220,x]
F[235,x] = F[236,x]
F[236,x] = F[237,x]*F[4,x]
F[237,x] = 1/F[0,x]/F[4,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = -F[242,x]+F[240,x]
F[240,x] = 1/F[4,x]*F[241,x]
F[241,x] = F[220,x]
F[242,x] = F[0,x]*F[234,x]
F[243,x] = F[244,x]
F[244,x] = F[228,x]*F[4,x]*F[47,x]
F[245,x] = F[246,x]+F[55,x]
F[246,x] = F[247,x]
F[247,x] = F[233,x]*F[4,x]*F[55,x]
F[248,x] = F[249,x]
F[249,x] = F[250,x]*F[4,x]
F[250,x] = F[251,x]+F[286,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[233,x]*F[53,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[46,x]
F[255,x] = F[256,x]
F[256,x] = F[245,x]*F[257,x]*F[4,x]
F[257,x] = 1/F[4,x]/F[55,x]*F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[260,x]+F[268,x]
F[260,x] = F[261,x]+F[266,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]*F[4,x]*F[56,x]
F[263,x] = 1/F[4,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = -F[12,x]+F[59,x]
F[266,x] = F[267,x]
F[267,x] = F[263,x]*F[4,x]*F[71,x]
F[268,x] = -F[285,x]+F[269,x]
F[269,x] = -F[283,x]+F[270,x]
F[270,x] = 1/F[4,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = -F[274,x]+F[273,x]
F[273,x] = -F[19,x]+F[71,x]
F[274,x] = F[275,x]
F[275,x] = F[276,x]*F[4,x]
F[276,x] = F[277,x]+F[281,x]
F[277,x] = F[2,x]*F[278,x]
F[278,x] = F[12,x]+F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[263,x]*F[4,x]
F[281,x] = F[0,x]*F[282,x]
F[282,x] = -F[278,x]+F[233,x]
F[283,x] = F[266,x]+F[284,x]
F[284,x] = F[278,x]*F[74,x]
F[285,x] = F[282,x]*F[6,x]
F[286,x] = F[287,x]
F[287,x] = F[237,x]*F[4,x]*F[52,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{50}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{13}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{12}\! \left(x \right) x +F_{12} \left(x \right)^{2}-2 F_{12}\! \left(x \right)+2
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{20}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{5}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{44}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right) F_{48}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{24}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{248}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{83}\! \left(x \right)
F_{54}\! \left(x \right) = F_{46}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{71}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{60}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{64}\! \left(x \right) x +F_{64} \left(x \right)^{2}+x
F_{65}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{17}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{65}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{75}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{56}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{71}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{228}\! \left(x \right) F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{226}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{222}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{0} \left(x \right)^{2}}
F_{90}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{170}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{169}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{145}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{107}\! \left(x \right)
F_{106}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{137}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{2}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{123}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{120}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{5}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{38}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{115}\! \left(x \right)
F_{123}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{38}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{89}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = F_{126}\! \left(x \right)+F_{47}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{136}\! \left(x \right) F_{4}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{130}\! \left(x \right)
F_{136}\! \left(x \right) = F_{133}\! \left(x \right)+F_{46}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{147}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{105}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{134}\! \left(x \right) F_{151}\! \left(x \right) F_{4}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{157}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{155}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{27}\! \left(x \right)
F_{155}\! \left(x \right) = F_{101}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{152}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{2}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{38}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{127}\! \left(x \right)
F_{169}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)
F_{170}\! \left(x \right) = F_{29}\! \left(x \right) F_{47}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{134}\! \left(x \right) F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{152}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{185}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{46}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{204}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{46}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{203}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{2}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{0}\! \left(x \right) F_{189}\! \left(x \right)
F_{197}\! \left(x \right) = F_{192}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{202}\! \left(x \right)
F_{199}\! \left(x \right) = F_{0}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{0}\! \left(x \right) F_{198}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{200}\! \left(x \right)
F_{203}\! \left(x \right) = F_{202}\! \left(x \right)
F_{204}\! \left(x \right) = F_{183}\! \left(x \right) F_{198}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{134}\! \left(x \right) F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = \frac{F_{213}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{213}\! \left(x \right) = F_{176}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{216}\! \left(x \right)
F_{215}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{46}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{0} \left(x \right)^{3} F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{178}\! \left(x \right) F_{220}\! \left(x \right) F_{4}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{0}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{4}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{112}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right) F_{88}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{4}\! \left(x \right) F_{46}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{243}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right) F_{234}\! \left(x \right) F_{4}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right)+F_{220}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right) F_{4}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{220}\! \left(x \right)
F_{242}\! \left(x \right) = F_{0}\! \left(x \right) F_{234}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{228}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{55}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{233}\! \left(x \right) F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{286}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{233}\! \left(x \right) F_{53}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{46}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{245}\! \left(x \right) F_{257}\! \left(x \right) F_{4}\! \left(x \right)
F_{257}\! \left(x \right) = \frac{F_{258}\! \left(x \right)}{F_{4}\! \left(x \right) F_{55}\! \left(x \right)}
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{268}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{266}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{59}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = -F_{274}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{71}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{4}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{281}\! \left(x \right)
F_{277}\! \left(x \right) = F_{2}\! \left(x \right) F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{12}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{0}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{233}\! \left(x \right)
F_{283}\! \left(x \right) = F_{266}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{278}\! \left(x \right) F_{74}\! \left(x \right)
F_{285}\! \left(x \right) = F_{282}\! \left(x \right) F_{6}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{237}\! \left(x \right) F_{4}\! \left(x \right) F_{52}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_50(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_13(x))
Eq(F_11(x), F_12(x)*F_2(x))
Eq(F_12(x), (x - 2)*F_12(x) + F_12(x)**2 + 2)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x) + F_20(x))
Eq(F_16(x), F_17(x)*F_19(x))
Eq(F_17(x), F_18(x)/F_4(x))
Eq(F_18(x), F_2(x))
Eq(F_19(x), -F_12(x) + F_5(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x)*F_5(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) - F_31(x))
Eq(F_25(x), F_26(x)/F_4(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), -F_2(x) + F_28(x))
Eq(F_28(x), -F_0(x) + F_29(x))
Eq(F_29(x), F_30(x)/F_4(x))
Eq(F_30(x), F_2(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_0(x)*F_2(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_44(x))
Eq(F_36(x), F_37(x)*F_5(x))
Eq(F_37(x), F_2(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_17(x)*F_2(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_0(x)*F_22(x)*F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_0(x)*F_4(x)*F_46(x)*F_48(x))
Eq(F_46(x), F_0(x) + F_47(x))
Eq(F_47(x), F_2(x) + F_38(x))
Eq(F_48(x), F_49(x)/(F_0(x)*F_4(x)))
Eq(F_49(x), F_24(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_248(x) + F_53(x))
Eq(F_53(x), F_54(x) + F_83(x))
Eq(F_54(x), F_46(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_71(x))
Eq(F_56(x), F_12(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_56(x)*F_59(x))
Eq(F_59(x), F_60(x)/F_0(x))
Eq(F_60(x), F_61(x) - F_67(x))
Eq(F_61(x), F_62(x)/F_4(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), (x - 3)*(F_64(x) + 1) + (F_64(x) + 1)**2 + F_64(x) + 2)
Eq(F_65(x), -F_2(x) + F_66(x))
Eq(F_66(x), -F_12(x) + F_17(x))
Eq(F_67(x), F_68(x) - F_70(x))
Eq(F_68(x), F_69(x)/F_4(x))
Eq(F_69(x), F_65(x))
Eq(F_70(x), F_2(x)*F_59(x))
Eq(F_71(x), F_72(x) - F_75(x))
Eq(F_72(x), F_73(x)/F_4(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_19(x) - F_2(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_2(x)*F_56(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_17(x)*F_71(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_22(x)*F_4(x)*F_55(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_245(x)*F_4(x)*F_85(x))
Eq(F_85(x), F_86(x)/(F_228(x)*F_4(x)))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_226(x) + F_88(x))
Eq(F_88(x), F_222(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_0(x)**2)
Eq(F_90(x), -F_218(x) + F_91(x))
Eq(F_91(x), -F_205(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), -F_171(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_4(x)*F_96(x))
Eq(F_96(x), F_97(x)/F_4(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), -F_170(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_4(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_4(x))
Eq(F_103(x), F_104(x) + F_169(x))
Eq(F_104(x), F_105(x) + F_145(x))
Eq(F_105(x), F_106(x) + F_107(x))
Eq(F_106(x), F_2(x)*F_46(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x) + F_137(x))
Eq(F_110(x), F_111(x)*F_2(x))
Eq(F_111(x), F_112(x) + F_123(x))
Eq(F_112(x), F_113(x) + F_120(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x) + F_5(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_4(x))
Eq(F_117(x), F_38(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_0(x)*F_4(x)*F_48(x))
Eq(F_120(x), F_121(x)/F_4(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_115(x) - F_37(x))
Eq(F_123(x), -F_120(x) + F_124(x))
Eq(F_124(x), F_125(x)/F_4(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x) - F_37(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_4(x))
Eq(F_129(x), F_38(x))
Eq(F_130(x), F_131(x) + F_89(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_134(x)*F_4(x))
Eq(F_133(x), F_126(x) + F_47(x))
Eq(F_134(x), F_135(x)/(F_136(x)*F_4(x)))
Eq(F_135(x), F_130(x))
Eq(F_136(x), F_133(x) + F_46(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x) - F_159(x))
Eq(F_139(x), F_140(x)/F_4(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_4(x))
Eq(F_142(x), F_143(x) + F_147(x))
Eq(F_143(x), F_144(x)/F_4(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_105(x)*F_134(x)*F_4(x))
Eq(F_147(x), F_148(x)/F_4(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_134(x)*F_151(x)*F_4(x))
Eq(F_151(x), F_152(x) + F_157(x))
Eq(F_152(x), F_153(x) - F_155(x))
Eq(F_153(x), F_154(x)/F_4(x))
Eq(F_154(x), F_27(x))
Eq(F_155(x), F_101(x) + F_156(x))
Eq(F_156(x), F_0(x)*F_2(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_152(x)*F_4(x)*F_46(x))
Eq(F_159(x), F_160(x)*F_2(x))
Eq(F_160(x), F_161(x)/F_4(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x) - F_165(x))
Eq(F_163(x), F_164(x)/F_4(x))
Eq(F_164(x), F_38(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_4(x))
Eq(F_167(x), F_168(x)/F_4(x))
Eq(F_168(x), F_127(x))
Eq(F_169(x), F_149(x) + F_151(x))
Eq(F_170(x), F_29(x)*F_47(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_134(x)*F_173(x)*F_4(x))
Eq(F_173(x), F_174(x)/F_4(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_152(x) - F_176(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_0(x)**2*F_178(x)*F_4(x))
Eq(F_178(x), F_179(x)/F_4(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_185(x))
Eq(F_182(x), F_183(x) + F_46(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_4(x)*F_85(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_4(x))
Eq(F_187(x), F_188(x) + F_204(x))
Eq(F_188(x), F_189(x)*F_46(x))
Eq(F_189(x), F_190(x) + F_203(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_0(x) + F_192(x))
Eq(F_192(x), F_2(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_0(x)*F_189(x))
Eq(F_197(x), F_192(x)*F_198(x))
Eq(F_198(x), F_199(x) + F_202(x))
Eq(F_199(x), F_0(x) + F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_0(x)*F_198(x)*F_4(x))
Eq(F_202(x), F_200(x))
Eq(F_203(x), F_202(x))
Eq(F_204(x), F_183(x)*F_198(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_4(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_134(x)*F_209(x)*F_4(x))
Eq(F_209(x), F_210(x)/F_4(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_212(x) - F_214(x))
Eq(F_212(x), F_213(x)/F_4(x))
Eq(F_213(x), F_176(x))
Eq(F_214(x), F_215(x) + F_216(x))
Eq(F_215(x), F_0(x)**2*F_46(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_0(x)**3*F_178(x)*F_4(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_0(x)**2*F_178(x)*F_220(x)*F_4(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_0(x)*F_134(x)*F_4(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_224(x)*F_4(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_112(x)*F_134(x)*F_4(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_134(x)*F_4(x)*F_88(x))
Eq(F_228(x), F_229(x)/(F_4(x)*F_46(x)))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_243(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)*F_234(x)*F_4(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x) + F_220(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x)*F_4(x))
Eq(F_237(x), F_238(x)/(F_0(x)*F_4(x)))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_240(x) - F_242(x))
Eq(F_240(x), F_241(x)/F_4(x))
Eq(F_241(x), F_220(x))
Eq(F_242(x), F_0(x)*F_234(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_228(x)*F_4(x)*F_47(x))
Eq(F_245(x), F_246(x) + F_55(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_233(x)*F_4(x)*F_55(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_250(x)*F_4(x))
Eq(F_250(x), F_251(x) + F_286(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_233(x)*F_53(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_46(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_245(x)*F_257(x)*F_4(x))
Eq(F_257(x), F_258(x)/(F_4(x)*F_55(x)))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_260(x) + F_268(x))
Eq(F_260(x), F_261(x) + F_266(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x)*F_4(x)*F_56(x))
Eq(F_263(x), F_264(x)/F_4(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), -F_12(x) + F_59(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_263(x)*F_4(x)*F_71(x))
Eq(F_268(x), F_269(x) - F_285(x))
Eq(F_269(x), F_270(x) - F_283(x))
Eq(F_270(x), F_271(x)/F_4(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x) - F_274(x))
Eq(F_273(x), -F_19(x) + F_71(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x)*F_4(x))
Eq(F_276(x), F_277(x) + F_281(x))
Eq(F_277(x), F_2(x)*F_278(x))
Eq(F_278(x), F_12(x) + F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_263(x)*F_4(x))
Eq(F_281(x), F_0(x)*F_282(x))
Eq(F_282(x), F_233(x) - F_278(x))
Eq(F_283(x), F_266(x) + F_284(x))
Eq(F_284(x), F_278(x)*F_74(x))
Eq(F_285(x), F_282(x)*F_6(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_237(x)*F_4(x)*F_52(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, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "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, 2], [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, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 0], [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, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [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, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], 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{"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 5], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 7], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 6], [0, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 7], [0, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 7], [1, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 5], [1, 1], [1, 5], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 7], [1, 1], [1, 5], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 7], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 6], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 7], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 6], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 6], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 7], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 6], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 6], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 7], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [1, 1], [1, 7], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 5], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 7], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[3, 3]]}]], "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": "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24791/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[50,x]+F[9,x]
F[9,x] = F[10,x]+F[5,x]
F[10,x] = F[11,x]+F[13,x]
F[11,x] = F[12,x]*F[2,x]
F[12,x] = 2+F[12,x]^2+(-2+x)*F[12,x]
F[13,x] = F[14,x]
F[14,x] = F[15,x]*F[4,x]
F[15,x] = F[16,x]+F[20,x]
F[16,x] = F[17,x]*F[19,x]
F[17,x] = 1/F[4,x]*F[18,x]
F[18,x] = F[2,x]
F[19,x] = -F[12,x]+F[5,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[4,x]*F[5,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = -F[31,x]+F[25,x]
F[25,x] = 1/F[4,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[2,x]+F[28,x]
F[28,x] = -F[0,x]+F[29,x]
F[29,x] = 1/F[4,x]*F[30,x]
F[30,x] = F[2,x]
F[31,x] = F[32,x]+F[33,x]
F[32,x] = F[0,x]*F[2,x]
F[33,x] = F[34,x]
F[34,x] = F[35,x]*F[4,x]
F[35,x] = F[36,x]+F[44,x]
F[36,x] = F[37,x]*F[5,x]
F[37,x] = F[2,x]+F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[4,x]*F[40,x]
F[40,x] = F[41,x]+F[42,x]
F[41,x] = F[17,x]*F[2,x]
F[42,x] = F[43,x]
F[43,x] = F[0,x]*F[22,x]*F[4,x]
F[44,x] = F[45,x]
F[45,x] = F[0,x]*F[4,x]*F[46,x]*F[48,x]
F[46,x] = F[0,x]+F[47,x]
F[47,x] = F[2,x]+F[38,x]
F[48,x] = 1/F[0,x]/F[4,x]*F[49,x]
F[49,x] = F[24,x]
F[50,x] = F[51,x]
F[51,x] = F[4,x]*F[52,x]
F[52,x] = F[248,x]+F[53,x]
F[53,x] = F[54,x]+F[83,x]
F[54,x] = F[46,x]*F[55,x]
F[55,x] = F[56,x]+F[71,x]
F[56,x] = F[12,x]+F[57,x]
F[57,x] = F[58,x]
F[58,x] = F[4,x]*F[56,x]*F[59,x]
F[59,x] = 1/F[0,x]*F[60,x]
F[60,x] = -F[67,x]+F[61,x]
F[61,x] = 1/F[4,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = (1+F[64,x])*x+F[64,x]^2
F[65,x] = -F[2,x]+F[66,x]
F[66,x] = -F[12,x]+F[17,x]
F[67,x] = -F[70,x]+F[68,x]
F[68,x] = 1/F[4,x]*F[69,x]
F[69,x] = F[65,x]
F[70,x] = F[2,x]*F[59,x]
F[71,x] = -F[75,x]+F[72,x]
F[72,x] = 1/F[4,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = -F[2,x]+F[19,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[2,x]*F[56,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[80,x]+F[81,x]
F[80,x] = F[17,x]*F[71,x]
F[81,x] = F[82,x]
F[82,x] = F[22,x]*F[4,x]*F[55,x]
F[83,x] = F[84,x]
F[84,x] = F[245,x]*F[4,x]*F[85,x]
F[85,x] = 1/F[228,x]/F[4,x]*F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[226,x]+F[88,x]
F[88,x] = F[222,x]+F[89,x]
F[89,x] = 1/F[0,x]^2*F[90,x]
F[90,x] = -F[218,x]+F[91,x]
F[91,x] = -F[205,x]+F[92,x]
F[92,x] = F[93,x]
F[93,x] = -F[171,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[4,x]*F[96,x]
F[96,x] = 1/F[4,x]*F[97,x]
F[97,x] = F[98,x]
F[98,x] = -F[170,x]+F[99,x]
F[99,x] = 1/F[4,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]
F[102,x] = F[103,x]*F[4,x]
F[103,x] = F[104,x]+F[169,x]
F[104,x] = F[105,x]+F[145,x]
F[105,x] = F[106,x]+F[107,x]
F[106,x] = F[2,x]*F[46,x]
F[107,x] = F[108,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = F[110,x]+F[137,x]
F[110,x] = F[111,x]*F[2,x]
F[111,x] = F[112,x]+F[123,x]
F[112,x] = F[113,x]+F[120,x]
F[113,x] = F[114,x]+F[118,x]
F[114,x] = F[115,x]+F[5,x]
F[115,x] = -F[118,x]+F[116,x]
F[116,x] = 1/F[4,x]*F[117,x]
F[117,x] = F[38,x]
F[118,x] = F[119,x]
F[119,x] = F[0,x]*F[4,x]*F[48,x]
F[120,x] = 1/F[4,x]*F[121,x]
F[121,x] = F[122,x]
F[122,x] = -F[37,x]+F[115,x]
F[123,x] = -F[120,x]+F[124,x]
F[124,x] = 1/F[4,x]*F[125,x]
F[125,x] = F[126,x]
F[126,x] = -F[37,x]+F[127,x]
F[127,x] = -F[130,x]+F[128,x]
F[128,x] = 1/F[4,x]*F[129,x]
F[129,x] = F[38,x]
F[130,x] = F[131,x]+F[89,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[134,x]*F[4,x]
F[133,x] = F[126,x]+F[47,x]
F[134,x] = 1/F[136,x]/F[4,x]*F[135,x]
F[135,x] = F[130,x]
F[136,x] = F[133,x]+F[46,x]
F[137,x] = F[138,x]
F[138,x] = -F[159,x]+F[139,x]
F[139,x] = 1/F[4,x]*F[140,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[4,x]
F[142,x] = F[143,x]+F[147,x]
F[143,x] = 1/F[4,x]*F[144,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[105,x]*F[134,x]*F[4,x]
F[147,x] = 1/F[4,x]*F[148,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[134,x]*F[151,x]*F[4,x]
F[151,x] = F[152,x]+F[157,x]
F[152,x] = -F[155,x]+F[153,x]
F[153,x] = 1/F[4,x]*F[154,x]
F[154,x] = F[27,x]
F[155,x] = F[101,x]+F[156,x]
F[156,x] = F[0,x]*F[2,x]
F[157,x] = F[158,x]
F[158,x] = F[152,x]*F[4,x]*F[46,x]
F[159,x] = F[160,x]*F[2,x]
F[160,x] = 1/F[4,x]*F[161,x]
F[161,x] = F[162,x]
F[162,x] = -F[165,x]+F[163,x]
F[163,x] = 1/F[4,x]*F[164,x]
F[164,x] = F[38,x]
F[165,x] = F[166,x]
F[166,x] = F[167,x]*F[4,x]
F[167,x] = 1/F[4,x]*F[168,x]
F[168,x] = F[127,x]
F[169,x] = F[149,x]+F[151,x]
F[170,x] = F[29,x]*F[47,x]
F[171,x] = F[172,x]
F[172,x] = F[134,x]*F[173,x]*F[4,x]
F[173,x] = 1/F[4,x]*F[174,x]
F[174,x] = F[175,x]
F[175,x] = -F[176,x]+F[152,x]
F[176,x] = F[177,x]
F[177,x] = F[0,x]^2*F[178,x]*F[4,x]
F[178,x] = 1/F[4,x]*F[179,x]
F[179,x] = F[180,x]
F[180,x] = F[181,x]*F[4,x]
F[181,x] = F[182,x]+F[185,x]
F[182,x] = F[183,x]+F[46,x]
F[183,x] = F[184,x]
F[184,x] = F[4,x]*F[85,x]
F[185,x] = F[186,x]
F[186,x] = F[187,x]*F[4,x]
F[187,x] = F[188,x]+F[204,x]
F[188,x] = F[189,x]*F[46,x]
F[189,x] = F[190,x]+F[203,x]
F[190,x] = F[191,x]+F[193,x]
F[191,x] = F[0,x]+F[192,x]
F[192,x] = F[2,x]
F[193,x] = F[194,x]
F[194,x] = F[195,x]*F[4,x]
F[195,x] = F[196,x]+F[197,x]
F[196,x] = F[0,x]*F[189,x]
F[197,x] = F[192,x]*F[198,x]
F[198,x] = F[199,x]+F[202,x]
F[199,x] = F[0,x]+F[200,x]
F[200,x] = F[201,x]
F[201,x] = F[0,x]*F[198,x]*F[4,x]
F[202,x] = F[200,x]
F[203,x] = F[202,x]
F[204,x] = F[183,x]*F[198,x]
F[205,x] = F[206,x]
F[206,x] = F[207,x]*F[4,x]
F[207,x] = F[208,x]
F[208,x] = F[134,x]*F[209,x]*F[4,x]
F[209,x] = 1/F[4,x]*F[210,x]
F[210,x] = F[211,x]
F[211,x] = -F[214,x]+F[212,x]
F[212,x] = 1/F[4,x]*F[213,x]
F[213,x] = F[176,x]
F[214,x] = F[215,x]+F[216,x]
F[215,x] = F[0,x]^2*F[46,x]
F[216,x] = F[217,x]
F[217,x] = F[0,x]^3*F[178,x]*F[4,x]
F[218,x] = F[219,x]
F[219,x] = F[0,x]^2*F[178,x]*F[220,x]*F[4,x]
F[220,x] = F[221,x]
F[221,x] = F[0,x]*F[134,x]*F[4,x]
F[222,x] = F[223,x]
F[223,x] = F[224,x]*F[4,x]
F[224,x] = F[225,x]
F[225,x] = F[112,x]*F[134,x]*F[4,x]
F[226,x] = F[227,x]
F[227,x] = F[134,x]*F[4,x]*F[88,x]
F[228,x] = 1/F[4,x]/F[46,x]*F[229,x]
F[229,x] = F[230,x]
F[230,x] = F[231,x]+F[243,x]
F[231,x] = F[232,x]
F[232,x] = F[233,x]*F[234,x]*F[4,x]
F[233,x] = F[234,x]+F[235,x]
F[234,x] = F[0,x]+F[220,x]
F[235,x] = F[236,x]
F[236,x] = F[237,x]*F[4,x]
F[237,x] = 1/F[0,x]/F[4,x]*F[238,x]
F[238,x] = F[239,x]
F[239,x] = -F[242,x]+F[240,x]
F[240,x] = 1/F[4,x]*F[241,x]
F[241,x] = F[220,x]
F[242,x] = F[0,x]*F[234,x]
F[243,x] = F[244,x]
F[244,x] = F[228,x]*F[4,x]*F[47,x]
F[245,x] = F[246,x]+F[55,x]
F[246,x] = F[247,x]
F[247,x] = F[233,x]*F[4,x]*F[55,x]
F[248,x] = F[249,x]
F[249,x] = F[250,x]*F[4,x]
F[250,x] = F[251,x]+F[286,x]
F[251,x] = F[252,x]+F[253,x]
F[252,x] = F[233,x]*F[53,x]
F[253,x] = F[254,x]
F[254,x] = F[255,x]*F[46,x]
F[255,x] = F[256,x]
F[256,x] = F[245,x]*F[257,x]*F[4,x]
F[257,x] = 1/F[4,x]/F[55,x]*F[258,x]
F[258,x] = F[259,x]
F[259,x] = F[260,x]+F[268,x]
F[260,x] = F[261,x]+F[266,x]
F[261,x] = F[262,x]
F[262,x] = F[263,x]*F[4,x]*F[56,x]
F[263,x] = 1/F[4,x]*F[264,x]
F[264,x] = F[265,x]
F[265,x] = -F[12,x]+F[59,x]
F[266,x] = F[267,x]
F[267,x] = F[263,x]*F[4,x]*F[71,x]
F[268,x] = -F[285,x]+F[269,x]
F[269,x] = -F[283,x]+F[270,x]
F[270,x] = 1/F[4,x]*F[271,x]
F[271,x] = F[272,x]
F[272,x] = -F[274,x]+F[273,x]
F[273,x] = -F[19,x]+F[71,x]
F[274,x] = F[275,x]
F[275,x] = F[276,x]*F[4,x]
F[276,x] = F[277,x]+F[281,x]
F[277,x] = F[2,x]*F[278,x]
F[278,x] = F[12,x]+F[279,x]
F[279,x] = F[280,x]
F[280,x] = F[263,x]*F[4,x]
F[281,x] = F[0,x]*F[282,x]
F[282,x] = -F[278,x]+F[233,x]
F[283,x] = F[266,x]+F[284,x]
F[284,x] = F[278,x]*F[74,x]
F[285,x] = F[282,x]*F[6,x]
F[286,x] = F[287,x]
F[287,x] = F[237,x]*F[4,x]*F[52,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{50}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{5}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{13}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{2}\! \left(x \right)
F_{12}\! \left(x \right) = F_{12}\! \left(x \right) x +F_{12} \left(x \right)^{2}-2 F_{12}\! \left(x \right)+2
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)+F_{20}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{19}\! \left(x \right)
F_{17}\! \left(x \right) = \frac{F_{18}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{18}\! \left(x \right) = F_{2}\! \left(x \right)
F_{19}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{5}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{31}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{2}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)
F_{32}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right) F_{4}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{44}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right) F_{5}\! \left(x \right)
F_{37}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{42}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{2}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{0}\! \left(x \right) F_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right) F_{48}\! \left(x \right)
F_{46}\! \left(x \right) = F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = F_{2}\! \left(x \right)+F_{38}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = F_{24}\! \left(x \right)
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{4}\! \left(x \right) F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{248}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{83}\! \left(x \right)
F_{54}\! \left(x \right) = F_{46}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)+F_{71}\! \left(x \right)
F_{56}\! \left(x \right) = F_{12}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{60}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{65}\! \left(x \right)
F_{64}\! \left(x \right) = F_{64}\! \left(x \right) x +F_{64} \left(x \right)^{2}+x
F_{65}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{17}\! \left(x \right)
F_{67}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = \frac{F_{69}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{69}\! \left(x \right) = F_{65}\! \left(x \right)
F_{70}\! \left(x \right) = F_{2}\! \left(x \right) F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{75}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{19}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{2}\! \left(x \right) F_{56}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{81}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{71}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{22}\! \left(x \right) F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{245}\! \left(x \right) F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = \frac{F_{86}\! \left(x \right)}{F_{228}\! \left(x \right) F_{4}\! \left(x \right)}
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{226}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{222}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{0} \left(x \right)^{2}}
F_{90}\! \left(x \right) = -F_{218}\! \left(x \right)+F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{205}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = -F_{171}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{170}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{4}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{169}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{145}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{107}\! \left(x \right)
F_{106}\! \left(x \right) = F_{2}\! \left(x \right) F_{46}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{137}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{2}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{123}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{120}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{118}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{5}\! \left(x \right)
F_{115}\! \left(x \right) = -F_{118}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{38}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{48}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{115}\! \left(x \right)
F_{123}\! \left(x \right) = -F_{120}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{128}\! \left(x \right)
F_{128}\! \left(x \right) = \frac{F_{129}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{129}\! \left(x \right) = F_{38}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{89}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{133}\! \left(x \right) = F_{126}\! \left(x \right)+F_{47}\! \left(x \right)
F_{134}\! \left(x \right) = \frac{F_{135}\! \left(x \right)}{F_{136}\! \left(x \right) F_{4}\! \left(x \right)}
F_{135}\! \left(x \right) = F_{130}\! \left(x \right)
F_{136}\! \left(x \right) = F_{133}\! \left(x \right)+F_{46}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = -F_{159}\! \left(x \right)+F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = \frac{F_{140}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)+F_{147}\! \left(x \right)
F_{143}\! \left(x \right) = \frac{F_{144}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{105}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{147}\! \left(x \right) = \frac{F_{148}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{134}\! \left(x \right) F_{151}\! \left(x \right) F_{4}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{157}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{155}\! \left(x \right)+F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = \frac{F_{154}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{154}\! \left(x \right) = F_{27}\! \left(x \right)
F_{155}\! \left(x \right) = F_{101}\! \left(x \right)+F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{152}\! \left(x \right) F_{4}\! \left(x \right) F_{46}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{2}\! \left(x \right)
F_{160}\! \left(x \right) = \frac{F_{161}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)
F_{162}\! \left(x \right) = -F_{165}\! \left(x \right)+F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = \frac{F_{164}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{164}\! \left(x \right) = F_{38}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{4}\! \left(x \right)
F_{167}\! \left(x \right) = \frac{F_{168}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{168}\! \left(x \right) = F_{127}\! \left(x \right)
F_{169}\! \left(x \right) = F_{149}\! \left(x \right)+F_{151}\! \left(x \right)
F_{170}\! \left(x \right) = F_{29}\! \left(x \right) F_{47}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)
F_{172}\! \left(x \right) = F_{134}\! \left(x \right) F_{173}\! \left(x \right) F_{4}\! \left(x \right)
F_{173}\! \left(x \right) = \frac{F_{174}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = -F_{176}\! \left(x \right)+F_{152}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{178}\! \left(x \right) = \frac{F_{179}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{179}\! \left(x \right) = F_{180}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right) F_{4}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)+F_{185}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{46}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = F_{188}\! \left(x \right)+F_{204}\! \left(x \right)
F_{188}\! \left(x \right) = F_{189}\! \left(x \right) F_{46}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)+F_{203}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{193}\! \left(x \right)
F_{191}\! \left(x \right) = F_{0}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{2}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)+F_{197}\! \left(x \right)
F_{196}\! \left(x \right) = F_{0}\! \left(x \right) F_{189}\! \left(x \right)
F_{197}\! \left(x \right) = F_{192}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{202}\! \left(x \right)
F_{199}\! \left(x \right) = F_{0}\! \left(x \right)+F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{0}\! \left(x \right) F_{198}\! \left(x \right) F_{4}\! \left(x \right)
F_{202}\! \left(x \right) = F_{200}\! \left(x \right)
F_{203}\! \left(x \right) = F_{202}\! \left(x \right)
F_{204}\! \left(x \right) = F_{183}\! \left(x \right) F_{198}\! \left(x \right)
F_{205}\! \left(x \right) = F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right) F_{4}\! \left(x \right)
F_{207}\! \left(x \right) = F_{208}\! \left(x \right)
F_{208}\! \left(x \right) = F_{134}\! \left(x \right) F_{209}\! \left(x \right) F_{4}\! \left(x \right)
F_{209}\! \left(x \right) = \frac{F_{210}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = -F_{214}\! \left(x \right)+F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = \frac{F_{213}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{213}\! \left(x \right) = F_{176}\! \left(x \right)
F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{216}\! \left(x \right)
F_{215}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{46}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{0} \left(x \right)^{3} F_{178}\! \left(x \right) F_{4}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{178}\! \left(x \right) F_{220}\! \left(x \right) F_{4}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)
F_{221}\! \left(x \right) = F_{0}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{222}\! \left(x \right) = F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right) F_{4}\! \left(x \right)
F_{224}\! \left(x \right) = F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{112}\! \left(x \right) F_{134}\! \left(x \right) F_{4}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{134}\! \left(x \right) F_{4}\! \left(x \right) F_{88}\! \left(x \right)
F_{228}\! \left(x \right) = \frac{F_{229}\! \left(x \right)}{F_{4}\! \left(x \right) F_{46}\! \left(x \right)}
F_{229}\! \left(x \right) = F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = F_{231}\! \left(x \right)+F_{243}\! \left(x \right)
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = F_{233}\! \left(x \right) F_{234}\! \left(x \right) F_{4}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{235}\! \left(x \right)
F_{234}\! \left(x \right) = F_{0}\! \left(x \right)+F_{220}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)
F_{236}\! \left(x \right) = F_{237}\! \left(x \right) F_{4}\! \left(x \right)
F_{237}\! \left(x \right) = \frac{F_{238}\! \left(x \right)}{F_{0}\! \left(x \right) F_{4}\! \left(x \right)}
F_{238}\! \left(x \right) = F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = -F_{242}\! \left(x \right)+F_{240}\! \left(x \right)
F_{240}\! \left(x \right) = \frac{F_{241}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{241}\! \left(x \right) = F_{220}\! \left(x \right)
F_{242}\! \left(x \right) = F_{0}\! \left(x \right) F_{234}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right)
F_{244}\! \left(x \right) = F_{228}\! \left(x \right) F_{4}\! \left(x \right) F_{47}\! \left(x \right)
F_{245}\! \left(x \right) = F_{246}\! \left(x \right)+F_{55}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{233}\! \left(x \right) F_{4}\! \left(x \right) F_{55}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{250}\! \left(x \right) F_{4}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{286}\! \left(x \right)
F_{251}\! \left(x \right) = F_{252}\! \left(x \right)+F_{253}\! \left(x \right)
F_{252}\! \left(x \right) = F_{233}\! \left(x \right) F_{53}\! \left(x \right)
F_{253}\! \left(x \right) = F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{255}\! \left(x \right) F_{46}\! \left(x \right)
F_{255}\! \left(x \right) = F_{256}\! \left(x \right)
F_{256}\! \left(x \right) = F_{245}\! \left(x \right) F_{257}\! \left(x \right) F_{4}\! \left(x \right)
F_{257}\! \left(x \right) = \frac{F_{258}\! \left(x \right)}{F_{4}\! \left(x \right) F_{55}\! \left(x \right)}
F_{258}\! \left(x \right) = F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)+F_{268}\! \left(x \right)
F_{260}\! \left(x \right) = F_{261}\! \left(x \right)+F_{266}\! \left(x \right)
F_{261}\! \left(x \right) = F_{262}\! \left(x \right)
F_{262}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{264}\! \left(x \right) = F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{59}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)
F_{267}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right) F_{71}\! \left(x \right)
F_{268}\! \left(x \right) = -F_{285}\! \left(x \right)+F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = -F_{283}\! \left(x \right)+F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{272}\! \left(x \right)
F_{272}\! \left(x \right) = -F_{274}\! \left(x \right)+F_{273}\! \left(x \right)
F_{273}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{71}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{276}\! \left(x \right) F_{4}\! \left(x \right)
F_{276}\! \left(x \right) = F_{277}\! \left(x \right)+F_{281}\! \left(x \right)
F_{277}\! \left(x \right) = F_{2}\! \left(x \right) F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{12}\! \left(x \right)+F_{279}\! \left(x \right)
F_{279}\! \left(x \right) = F_{280}\! \left(x \right)
F_{280}\! \left(x \right) = F_{263}\! \left(x \right) F_{4}\! \left(x \right)
F_{281}\! \left(x \right) = F_{0}\! \left(x \right) F_{282}\! \left(x \right)
F_{282}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{233}\! \left(x \right)
F_{283}\! \left(x \right) = F_{266}\! \left(x \right)+F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{278}\! \left(x \right) F_{74}\! \left(x \right)
F_{285}\! \left(x \right) = F_{282}\! \left(x \right) F_{6}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{237}\! \left(x \right) F_{4}\! \left(x \right) F_{52}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_50(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_5(x))
Eq(F_10(x), F_11(x) + F_13(x))
Eq(F_11(x), F_12(x)*F_2(x))
Eq(F_12(x), (x - 2)*F_12(x) + F_12(x)**2 + 2)
Eq(F_13(x), F_14(x))
Eq(F_14(x), F_15(x)*F_4(x))
Eq(F_15(x), F_16(x) + F_20(x))
Eq(F_16(x), F_17(x)*F_19(x))
Eq(F_17(x), F_18(x)/F_4(x))
Eq(F_18(x), F_2(x))
Eq(F_19(x), -F_12(x) + F_5(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_4(x)*F_5(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) - F_31(x))
Eq(F_25(x), F_26(x)/F_4(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), -F_2(x) + F_28(x))
Eq(F_28(x), -F_0(x) + F_29(x))
Eq(F_29(x), F_30(x)/F_4(x))
Eq(F_30(x), F_2(x))
Eq(F_31(x), F_32(x) + F_33(x))
Eq(F_32(x), F_0(x)*F_2(x))
Eq(F_33(x), F_34(x))
Eq(F_34(x), F_35(x)*F_4(x))
Eq(F_35(x), F_36(x) + F_44(x))
Eq(F_36(x), F_37(x)*F_5(x))
Eq(F_37(x), F_2(x) + F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_4(x)*F_40(x))
Eq(F_40(x), F_41(x) + F_42(x))
Eq(F_41(x), F_17(x)*F_2(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_0(x)*F_22(x)*F_4(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_0(x)*F_4(x)*F_46(x)*F_48(x))
Eq(F_46(x), F_0(x) + F_47(x))
Eq(F_47(x), F_2(x) + F_38(x))
Eq(F_48(x), F_49(x)/(F_0(x)*F_4(x)))
Eq(F_49(x), F_24(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_4(x)*F_52(x))
Eq(F_52(x), F_248(x) + F_53(x))
Eq(F_53(x), F_54(x) + F_83(x))
Eq(F_54(x), F_46(x)*F_55(x))
Eq(F_55(x), F_56(x) + F_71(x))
Eq(F_56(x), F_12(x) + F_57(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_4(x)*F_56(x)*F_59(x))
Eq(F_59(x), F_60(x)/F_0(x))
Eq(F_60(x), F_61(x) - F_67(x))
Eq(F_61(x), F_62(x)/F_4(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), (x - 3)*(F_64(x) + 1) + (F_64(x) + 1)**2 + F_64(x) + 2)
Eq(F_65(x), -F_2(x) + F_66(x))
Eq(F_66(x), -F_12(x) + F_17(x))
Eq(F_67(x), F_68(x) - F_70(x))
Eq(F_68(x), F_69(x)/F_4(x))
Eq(F_69(x), F_65(x))
Eq(F_70(x), F_2(x)*F_59(x))
Eq(F_71(x), F_72(x) - F_75(x))
Eq(F_72(x), F_73(x)/F_4(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_19(x) - F_2(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_2(x)*F_56(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_80(x) + F_81(x))
Eq(F_80(x), F_17(x)*F_71(x))
Eq(F_81(x), F_82(x))
Eq(F_82(x), F_22(x)*F_4(x)*F_55(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_245(x)*F_4(x)*F_85(x))
Eq(F_85(x), F_86(x)/(F_228(x)*F_4(x)))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_226(x) + F_88(x))
Eq(F_88(x), F_222(x) + F_89(x))
Eq(F_89(x), F_90(x)/F_0(x)**2)
Eq(F_90(x), -F_218(x) + F_91(x))
Eq(F_91(x), -F_205(x) + F_92(x))
Eq(F_92(x), F_93(x))
Eq(F_93(x), -F_171(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_4(x)*F_96(x))
Eq(F_96(x), F_97(x)/F_4(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), -F_170(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_4(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x))
Eq(F_102(x), F_103(x)*F_4(x))
Eq(F_103(x), F_104(x) + F_169(x))
Eq(F_104(x), F_105(x) + F_145(x))
Eq(F_105(x), F_106(x) + F_107(x))
Eq(F_106(x), F_2(x)*F_46(x))
Eq(F_107(x), F_108(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x) + F_137(x))
Eq(F_110(x), F_111(x)*F_2(x))
Eq(F_111(x), F_112(x) + F_123(x))
Eq(F_112(x), F_113(x) + F_120(x))
Eq(F_113(x), F_114(x) + F_118(x))
Eq(F_114(x), F_115(x) + F_5(x))
Eq(F_115(x), F_116(x) - F_118(x))
Eq(F_116(x), F_117(x)/F_4(x))
Eq(F_117(x), F_38(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_0(x)*F_4(x)*F_48(x))
Eq(F_120(x), F_121(x)/F_4(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_115(x) - F_37(x))
Eq(F_123(x), -F_120(x) + F_124(x))
Eq(F_124(x), F_125(x)/F_4(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x) - F_37(x))
Eq(F_127(x), F_128(x) - F_130(x))
Eq(F_128(x), F_129(x)/F_4(x))
Eq(F_129(x), F_38(x))
Eq(F_130(x), F_131(x) + F_89(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_134(x)*F_4(x))
Eq(F_133(x), F_126(x) + F_47(x))
Eq(F_134(x), F_135(x)/(F_136(x)*F_4(x)))
Eq(F_135(x), F_130(x))
Eq(F_136(x), F_133(x) + F_46(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_139(x) - F_159(x))
Eq(F_139(x), F_140(x)/F_4(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_4(x))
Eq(F_142(x), F_143(x) + F_147(x))
Eq(F_143(x), F_144(x)/F_4(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_105(x)*F_134(x)*F_4(x))
Eq(F_147(x), F_148(x)/F_4(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_134(x)*F_151(x)*F_4(x))
Eq(F_151(x), F_152(x) + F_157(x))
Eq(F_152(x), F_153(x) - F_155(x))
Eq(F_153(x), F_154(x)/F_4(x))
Eq(F_154(x), F_27(x))
Eq(F_155(x), F_101(x) + F_156(x))
Eq(F_156(x), F_0(x)*F_2(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_152(x)*F_4(x)*F_46(x))
Eq(F_159(x), F_160(x)*F_2(x))
Eq(F_160(x), F_161(x)/F_4(x))
Eq(F_161(x), F_162(x))
Eq(F_162(x), F_163(x) - F_165(x))
Eq(F_163(x), F_164(x)/F_4(x))
Eq(F_164(x), F_38(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_167(x)*F_4(x))
Eq(F_167(x), F_168(x)/F_4(x))
Eq(F_168(x), F_127(x))
Eq(F_169(x), F_149(x) + F_151(x))
Eq(F_170(x), F_29(x)*F_47(x))
Eq(F_171(x), F_172(x))
Eq(F_172(x), F_134(x)*F_173(x)*F_4(x))
Eq(F_173(x), F_174(x)/F_4(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_152(x) - F_176(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_0(x)**2*F_178(x)*F_4(x))
Eq(F_178(x), F_179(x)/F_4(x))
Eq(F_179(x), F_180(x))
Eq(F_180(x), F_181(x)*F_4(x))
Eq(F_181(x), F_182(x) + F_185(x))
Eq(F_182(x), F_183(x) + F_46(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_4(x)*F_85(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_187(x)*F_4(x))
Eq(F_187(x), F_188(x) + F_204(x))
Eq(F_188(x), F_189(x)*F_46(x))
Eq(F_189(x), F_190(x) + F_203(x))
Eq(F_190(x), F_191(x) + F_193(x))
Eq(F_191(x), F_0(x) + F_192(x))
Eq(F_192(x), F_2(x))
Eq(F_193(x), F_194(x))
Eq(F_194(x), F_195(x)*F_4(x))
Eq(F_195(x), F_196(x) + F_197(x))
Eq(F_196(x), F_0(x)*F_189(x))
Eq(F_197(x), F_192(x)*F_198(x))
Eq(F_198(x), F_199(x) + F_202(x))
Eq(F_199(x), F_0(x) + F_200(x))
Eq(F_200(x), F_201(x))
Eq(F_201(x), F_0(x)*F_198(x)*F_4(x))
Eq(F_202(x), F_200(x))
Eq(F_203(x), F_202(x))
Eq(F_204(x), F_183(x)*F_198(x))
Eq(F_205(x), F_206(x))
Eq(F_206(x), F_207(x)*F_4(x))
Eq(F_207(x), F_208(x))
Eq(F_208(x), F_134(x)*F_209(x)*F_4(x))
Eq(F_209(x), F_210(x)/F_4(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_212(x) - F_214(x))
Eq(F_212(x), F_213(x)/F_4(x))
Eq(F_213(x), F_176(x))
Eq(F_214(x), F_215(x) + F_216(x))
Eq(F_215(x), F_0(x)**2*F_46(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_0(x)**3*F_178(x)*F_4(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_0(x)**2*F_178(x)*F_220(x)*F_4(x))
Eq(F_220(x), F_221(x))
Eq(F_221(x), F_0(x)*F_134(x)*F_4(x))
Eq(F_222(x), F_223(x))
Eq(F_223(x), F_224(x)*F_4(x))
Eq(F_224(x), F_225(x))
Eq(F_225(x), F_112(x)*F_134(x)*F_4(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_134(x)*F_4(x)*F_88(x))
Eq(F_228(x), F_229(x)/(F_4(x)*F_46(x)))
Eq(F_229(x), F_230(x))
Eq(F_230(x), F_231(x) + F_243(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_233(x)*F_234(x)*F_4(x))
Eq(F_233(x), F_234(x) + F_235(x))
Eq(F_234(x), F_0(x) + F_220(x))
Eq(F_235(x), F_236(x))
Eq(F_236(x), F_237(x)*F_4(x))
Eq(F_237(x), F_238(x)/(F_0(x)*F_4(x)))
Eq(F_238(x), F_239(x))
Eq(F_239(x), F_240(x) - F_242(x))
Eq(F_240(x), F_241(x)/F_4(x))
Eq(F_241(x), F_220(x))
Eq(F_242(x), F_0(x)*F_234(x))
Eq(F_243(x), F_244(x))
Eq(F_244(x), F_228(x)*F_4(x)*F_47(x))
Eq(F_245(x), F_246(x) + F_55(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_233(x)*F_4(x)*F_55(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_250(x)*F_4(x))
Eq(F_250(x), F_251(x) + F_286(x))
Eq(F_251(x), F_252(x) + F_253(x))
Eq(F_252(x), F_233(x)*F_53(x))
Eq(F_253(x), F_254(x))
Eq(F_254(x), F_255(x)*F_46(x))
Eq(F_255(x), F_256(x))
Eq(F_256(x), F_245(x)*F_257(x)*F_4(x))
Eq(F_257(x), F_258(x)/(F_4(x)*F_55(x)))
Eq(F_258(x), F_259(x))
Eq(F_259(x), F_260(x) + F_268(x))
Eq(F_260(x), F_261(x) + F_266(x))
Eq(F_261(x), F_262(x))
Eq(F_262(x), F_263(x)*F_4(x)*F_56(x))
Eq(F_263(x), F_264(x)/F_4(x))
Eq(F_264(x), F_265(x))
Eq(F_265(x), -F_12(x) + F_59(x))
Eq(F_266(x), F_267(x))
Eq(F_267(x), F_263(x)*F_4(x)*F_71(x))
Eq(F_268(x), F_269(x) - F_285(x))
Eq(F_269(x), F_270(x) - F_283(x))
Eq(F_270(x), F_271(x)/F_4(x))
Eq(F_271(x), F_272(x))
Eq(F_272(x), F_273(x) - F_274(x))
Eq(F_273(x), -F_19(x) + F_71(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_276(x)*F_4(x))
Eq(F_276(x), F_277(x) + F_281(x))
Eq(F_277(x), F_2(x)*F_278(x))
Eq(F_278(x), F_12(x) + F_279(x))
Eq(F_279(x), F_280(x))
Eq(F_280(x), F_263(x)*F_4(x))
Eq(F_281(x), F_0(x)*F_282(x))
Eq(F_282(x), F_233(x) - F_278(x))
Eq(F_283(x), F_266(x) + F_284(x))
Eq(F_284(x), F_278(x)*F_74(x))
Eq(F_285(x), F_282(x)*F_6(x))
Eq(F_286(x), F_287(x))
Eq(F_287(x), F_237(x)*F_4(x)*F_52(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, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "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, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "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, 2], [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, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 0], [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, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [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, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "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, 1], [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, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 1], [0, 1], [0, 0], [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, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [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, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "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], 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{"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 5], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 1], [1, 7], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [1, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 6], [0, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 7], [0, 1], [1, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 7], [1, 1], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 5], [1, 1], [1, 5], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 7], [1, 1], [1, 5], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 7], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 6], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 7], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 6], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 1], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 6], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 7], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 7], [1, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 6], [0, 6], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 1], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 6], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 1], [0, 1], [0, 7], [0, 7], [0, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 5], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 1], [1, 1], [1, 7], [1, 1], [1, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 6], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 6], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [0, 1], [0, 7], [0, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [1, 1], [1, 5], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 1], [0, 7], [1, 1], [1, 7], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 5], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[1, 1], [1, 7], [1, 1], [1, 1], [1, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [2, 4, 0, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[3, 3]]}]], "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": "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 2, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 2, 4, 3, 1], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [2, 4, 0, 3, 1]], "symmetry": false}}]}
Specification 3
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://www.permpal.com/tree/25423/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[1,x]+F[195,x]+F[6,x]
F[6,x] = F[4,x]*F[7,x]
F[7,x] = F[5,x]+F[8,x]
F[8,x] = F[16,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[4,x]
F[11,x] = 1/F[4,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = -F[0,x]+F[14,x]
F[14,x] = 1/F[4,x]*F[15,x]
F[15,x] = F[2,x]
F[16,x] = F[17,x]
F[17,x] = F[18,x]*F[4,x]
F[18,x] = F[19,x]+F[72,x]
F[19,x] = F[20,x]
F[20,x] = F[21,x]*F[4,x]
F[21,x] = F[22,x]+F[70,x]
F[22,x] = 1/F[4,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = -F[69,x]+F[25,x]
F[25,x] = F[26,x]+F[28,x]
F[26,x] = F[27,x]*F[5,x]
F[27,x] = 2+F[27,x]^2+(-2+x)*F[27,x]
F[28,x] = -F[42,x]+F[29,x]
F[29,x] = 1/F[4,x]*F[30,x]
F[30,x] = -F[37,x]+F[31,x]
F[31,x] = F[32,x]
F[32,x] = F[33,x]*F[4,x]
F[33,x] = F[34,x]+F[38,x]
F[34,x] = F[0,x]*F[35,x]
F[35,x] = 1/F[4,x]*F[36,x]
F[36,x] = F[37,x]
F[37,x] = -F[27,x]+F[5,x]
F[38,x] = F[39,x]
F[39,x] = F[0,x]*F[4,x]*F[40,x]
F[40,x] = 1/F[4,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[43,x]+F[67,x]
F[43,x] = F[44,x]
F[44,x] = F[0,x]*F[4,x]*F[45,x]
F[45,x] = 1/F[4,x]*F[46,x]
F[46,x] = F[47,x]
F[47,x] = -F[5,x]+F[48,x]
F[48,x] = 1/F[4,x]*F[49,x]
F[49,x] = -F[1,x]-F[52,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[2,x]
F[52,x] = F[4,x]*F[53,x]
F[53,x] = F[5,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[4,x]*F[56,x]
F[56,x] = F[57,x]+F[59,x]+F[65,x]
F[57,x] = F[48,x]+F[58,x]
F[58,x] = F[47,x]
F[59,x] = F[60,x]
F[60,x] = F[4,x]*F[61,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[53,x]*F[57,x]
F[63,x] = F[64,x]
F[64,x] = F[4,x]*F[45,x]*F[5,x]*F[50,x]
F[65,x] = F[66,x]
F[66,x] = F[4,x]*F[48,x]*F[57,x]
F[67,x] = F[68,x]
F[68,x] = F[4,x]*F[45,x]*F[9,x]
F[69,x] = -F[43,x]+F[11,x]
F[70,x] = 1/F[4,x]*F[71,x]
F[71,x] = F[67,x]
F[72,x] = F[73,x]
F[73,x] = F[4,x]*F[45,x]*F[74,x]
F[74,x] = F[1,x]+F[193,x]+F[194,x]+F[75,x]
F[75,x] = F[4,x]*F[76,x]
F[76,x] = F[7,x]+F[77,x]
F[77,x] = F[78,x]
F[78,x] = F[4,x]*F[79,x]
F[79,x] = F[185,x]+F[80,x]
F[80,x] = F[5,x]*F[81,x]
F[81,x] = F[74,x]+F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[4,x]*F[84,x]
F[84,x] = F[183,x]+F[85,x]
F[85,x] = F[178,x]+F[86,x]
F[86,x] = F[74,x]*F[87,x]
F[87,x] = 1/F[4,x]*F[88,x]
F[88,x] = -F[1,x]-F[174,x]+F[89,x]
F[89,x] = F[0,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[0,x]*F[4,x]*F[92,x]
F[92,x] = F[89,x]+F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[4,x]*F[95,x]
F[95,x] = F[172,x]+F[96,x]
F[96,x] = F[0,x]*F[97,x]
F[97,x] = -F[166,x]+F[98,x]
F[98,x] = F[146,x]+F[99,x]
F[99,x] = 1/F[4,x]*F[100,x]
F[100,x] = -F[1,x]-F[101,x]-F[145,x]+F[48,x]
F[101,x] = F[102,x]*F[4,x]
F[102,x] = 1/F[4,x]*F[103,x]
F[103,x] = -F[1,x]-F[104,x]-F[144,x]+F[7,x]
F[104,x] = F[105,x]*F[4,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = -F[1,x]-F[107,x]-F[108,x]+F[53,x]
F[107,x] = F[4,x]*F[57,x]
F[108,x] = F[109,x]*F[4,x]
F[109,x] = F[110,x]+F[53,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[4,x]
F[112,x] = F[113,x]+F[114,x]
F[113,x] = F[53,x]*F[87,x]
F[114,x] = F[115,x]
F[115,x] = F[109,x]*F[116,x]*F[4,x]
F[116,x] = 1/F[4,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[119,x]
F[119,x] = -F[99,x]+F[120,x]
F[120,x] = 1/F[4,x]*F[121,x]
F[121,x] = -F[1,x]-F[122,x]-F[140,x]-F[143,x]+F[57,x]
F[122,x] = F[123,x]*F[4,x]
F[123,x] = F[102,x]+F[124,x]
F[124,x] = F[125,x]
F[125,x] = 1/F[4,x]*F[126,x]
F[126,x] = -F[100,x]-F[127,x]-F[128,x]+F[47,x]
F[127,x] = 0
F[128,x] = F[129,x]*F[4,x]
F[129,x] = F[130,x]+F[47,x]
F[130,x] = F[131,x]
F[131,x] = F[132,x]*F[4,x]
F[132,x] = F[133,x]+F[137,x]
F[133,x] = F[134,x]+F[135,x]
F[134,x] = F[47,x]*F[87,x]
F[135,x] = F[136,x]
F[136,x] = F[116,x]*F[4,x]*F[99,x]
F[137,x] = F[138,x]
F[138,x] = F[116,x]*F[139,x]*F[4,x]
F[139,x] = F[129,x]
F[140,x] = F[141,x]*F[4,x]
F[141,x] = F[139,x]+F[142,x]
F[142,x] = F[129,x]+F[74,x]
F[143,x] = F[4,x]*F[87,x]
F[144,x] = F[4,x]*F[57,x]
F[145,x] = F[142,x]*F[4,x]
F[146,x] = F[147,x]
F[147,x] = F[148,x]*F[4,x]
F[148,x] = F[149,x]+F[161,x]
F[149,x] = F[150,x]+F[159,x]
F[150,x] = F[151,x]+F[152,x]
F[151,x] = F[87,x]*F[99,x]
F[152,x] = F[153,x]
F[153,x] = F[154,x]*F[157,x]*F[4,x]
F[154,x] = 1/F[4,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = -F[89,x]+F[87,x]
F[157,x] = F[158,x]+F[87,x]
F[158,x] = F[156,x]
F[159,x] = F[160,x]
F[160,x] = F[154,x]*F[4,x]*F[97,x]
F[161,x] = F[162,x]+F[164,x]
F[162,x] = F[163,x]
F[163,x] = F[116,x]*F[157,x]*F[4,x]
F[164,x] = F[165,x]
F[165,x] = F[154,x]*F[166,x]*F[4,x]
F[166,x] = F[118,x]+F[167,x]
F[167,x] = F[168,x]
F[168,x] = F[169,x]*F[4,x]
F[169,x] = F[161,x]+F[170,x]
F[170,x] = F[171,x]
F[171,x] = F[118,x]*F[87,x]
F[172,x] = F[173,x]
F[173,x] = F[0,x]*F[154,x]*F[4,x]
F[174,x] = F[175,x]*F[4,x]
F[175,x] = F[176,x]+F[50,x]
F[176,x] = F[177,x]
F[177,x] = F[4,x]*F[50,x]*F[87,x]
F[178,x] = F[179,x]
F[179,x] = F[116,x]*F[180,x]*F[4,x]
F[180,x] = F[181,x]+F[74,x]
F[181,x] = F[182,x]
F[182,x] = F[4,x]*F[74,x]*F[87,x]
F[183,x] = F[184,x]
F[184,x] = F[154,x]*F[4,x]*F[81,x]
F[185,x] = F[186,x]
F[186,x] = F[11,x]*F[187,x]*F[4,x]
F[187,x] = 1/F[4,x]*F[188,x]
F[188,x] = -F[1,x]-F[189,x]-F[193,x]-F[194,x]+F[180,x]
F[189,x] = F[190,x]*F[4,x]
F[190,x] = F[191,x]+F[76,x]
F[191,x] = F[192,x]
F[192,x] = F[187,x]*F[4,x]*F[5,x]
F[193,x] = F[4,x]*F[81,x]
F[194,x] = F[180,x]*F[4,x]
F[195,x] = F[4,x]*F[74,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_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{195}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{4}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{5}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{4}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = \frac{F_{15}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{15}\! \left(x \right) = F_{2}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{72}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)+F_{70}\! \left(x \right)
F_{22}\! \left(x \right) = \frac{F_{23}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{28}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right) F_{5}\! \left(x \right)
F_{27}\! \left(x \right) = x F_{27}\! \left(x \right)+F_{27} \left(x \right)^{2}-2 F_{27}\! \left(x \right)+2
F_{28}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{30}\! \left(x \right) = -F_{37}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right) F_{4}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{38}\! \left(x \right)
F_{34}\! \left(x \right) = F_{0}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = \frac{F_{36}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = -F_{27}\! \left(x \right)+F_{5}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{67}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = \frac{F_{49}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{49}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{52}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{2}\! \left(x \right)
F_{52}\! \left(x \right) = F_{4}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{5}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{4}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{59}\! \left(x \right)+F_{65}\! \left(x \right)
F_{57}\! \left(x \right) = F_{48}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{47}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{53}\! \left(x \right) F_{57}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right) F_{5}\! \left(x \right) F_{50}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{4}\! \left(x \right) F_{48}\! \left(x \right) F_{57}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right) F_{9}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{43}\! \left(x \right)+F_{11}\! \left(x \right)
F_{70}\! \left(x \right) = \frac{F_{71}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{71}\! \left(x \right) = F_{67}\! \left(x \right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{4}\! \left(x \right) F_{45}\! \left(x \right) F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{1}\! \left(x \right)+F_{193}\! \left(x \right)+F_{194}\! \left(x \right)+F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{7}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{4}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{185}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{5}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{74}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{183}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{178}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{74}\! \left(x \right) F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = \frac{F_{88}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{88}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{174}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{0}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{89}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{172}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = -F_{166}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{146}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = \frac{F_{100}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{100}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{101}\! \left(x \right)-F_{145}\! \left(x \right)+F_{48}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{4}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{103}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{104}\! \left(x \right)-F_{144}\! \left(x \right)+F_{7}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{4}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{107}\! \left(x \right)-F_{108}\! \left(x \right)+F_{53}\! \left(x \right)
F_{107}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{53}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{4}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{114}\! \left(x \right)
F_{113}\! \left(x \right) = F_{53}\! \left(x \right) F_{87}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{109}\! \left(x \right) F_{116}\! \left(x \right) F_{4}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = -F_{99}\! \left(x \right)+F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{121}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{122}\! \left(x \right)-F_{140}\! \left(x \right)-F_{143}\! \left(x \right)+F_{57}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right) F_{4}\! \left(x \right)
F_{123}\! \left(x \right) = F_{102}\! \left(x \right)+F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)
F_{125}\! \left(x \right) = \frac{F_{126}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{126}\! \left(x \right) = -F_{100}\! \left(x \right)-F_{127}\! \left(x \right)-F_{128}\! \left(x \right)+F_{47}\! \left(x \right)
F_{127}\! \left(x \right) = 0
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{4}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{47}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{4}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{137}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{135}\! \left(x \right)
F_{134}\! \left(x \right) = F_{47}\! \left(x \right) F_{87}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{116}\! \left(x \right) F_{4}\! \left(x \right) F_{99}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{116}\! \left(x \right) F_{139}\! \left(x \right) F_{4}\! \left(x \right)
F_{139}\! \left(x \right) = F_{129}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{4}\! \left(x \right)
F_{141}\! \left(x \right) = F_{139}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{129}\! \left(x \right)+F_{74}\! \left(x \right)
F_{143}\! \left(x \right) = F_{4}\! \left(x \right) F_{87}\! \left(x \right)
F_{144}\! \left(x \right) = F_{4}\! \left(x \right) F_{57}\! \left(x \right)
F_{145}\! \left(x \right) = F_{142}\! \left(x \right) F_{4}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{4}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)+F_{161}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{159}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)+F_{152}\! \left(x \right)
F_{151}\! \left(x \right) = F_{87}\! \left(x \right) F_{99}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{154}\! \left(x \right) = \frac{F_{155}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{87}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{87}\! \left(x \right)
F_{158}\! \left(x \right) = F_{156}\! \left(x \right)
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right) F_{97}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{164}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{116}\! \left(x \right) F_{157}\! \left(x \right) F_{4}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{154}\! \left(x \right) F_{166}\! \left(x \right) F_{4}\! \left(x \right)
F_{166}\! \left(x \right) = F_{118}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right) F_{4}\! \left(x \right)
F_{169}\! \left(x \right) = F_{161}\! \left(x \right)+F_{170}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{118}\! \left(x \right) F_{87}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{0}\! \left(x \right) F_{154}\! \left(x \right) F_{4}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{4}\! \left(x \right)
F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{50}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{4}\! \left(x \right) F_{50}\! \left(x \right) F_{87}\! \left(x \right)
F_{178}\! \left(x \right) = F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{116}\! \left(x \right) F_{180}\! \left(x \right) F_{4}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)+F_{74}\! \left(x \right)
F_{181}\! \left(x \right) = F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \left(x \right) F_{87}\! \left(x \right)
F_{183}\! \left(x \right) = F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{185}\! \left(x \right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{11}\! \left(x \right) F_{187}\! \left(x \right) F_{4}\! \left(x \right)
F_{187}\! \left(x \right) = \frac{F_{188}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{188}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{189}\! \left(x \right)-F_{193}\! \left(x \right)-F_{194}\! \left(x \right)+F_{180}\! \left(x \right)
F_{189}\! \left(x \right) = F_{190}\! \left(x \right) F_{4}\! \left(x \right)
F_{190}\! \left(x \right) = F_{191}\! \left(x \right)+F_{76}\! \left(x \right)
F_{191}\! \left(x \right) = F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = F_{187}\! \left(x \right) F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{193}\! \left(x \right) = F_{4}\! \left(x \right) F_{81}\! \left(x \right)
F_{194}\! \left(x \right) = F_{180}\! \left(x \right) F_{4}\! \left(x \right)
F_{195}\! \left(x \right) = F_{4}\! \left(x \right) F_{74}\! \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_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_1(x) + F_195(x) + F_6(x))
Eq(F_6(x), F_4(x)*F_7(x))
Eq(F_7(x), F_5(x) + F_8(x))
Eq(F_8(x), F_16(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_4(x))
Eq(F_11(x), F_12(x)/F_4(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), -F_0(x) + F_14(x))
Eq(F_14(x), F_15(x)/F_4(x))
Eq(F_15(x), F_2(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_18(x)*F_4(x))
Eq(F_18(x), F_19(x) + F_72(x))
Eq(F_19(x), F_20(x))
Eq(F_20(x), F_21(x)*F_4(x))
Eq(F_21(x), F_22(x) + F_70(x))
Eq(F_22(x), F_23(x)/F_4(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_25(x) - F_69(x))
Eq(F_25(x), F_26(x) + F_28(x))
Eq(F_26(x), F_27(x)*F_5(x))
Eq(F_27(x), (x - 2)*F_27(x) + F_27(x)**2 + 2)
Eq(F_28(x), F_29(x) - F_42(x))
Eq(F_29(x), F_30(x)/F_4(x))
Eq(F_30(x), F_31(x) - F_37(x))
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_33(x)*F_4(x))
Eq(F_33(x), F_34(x) + F_38(x))
Eq(F_34(x), F_0(x)*F_35(x))
Eq(F_35(x), F_36(x)/F_4(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), -F_27(x) + F_5(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_0(x)*F_4(x)*F_40(x))
Eq(F_40(x), F_41(x)/F_4(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x) + F_67(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_0(x)*F_4(x)*F_45(x))
Eq(F_45(x), F_46(x)/F_4(x))
Eq(F_46(x), F_47(x))
Eq(F_47(x), F_48(x) - F_5(x))
Eq(F_48(x), F_49(x)/F_4(x))
Eq(F_49(x), -F_1(x) + F_50(x) - F_52(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_2(x))
Eq(F_52(x), F_4(x)*F_53(x))
Eq(F_53(x), F_5(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_4(x)*F_56(x))
Eq(F_56(x), F_57(x) + F_59(x) + F_65(x))
Eq(F_57(x), F_48(x) + F_58(x))
Eq(F_58(x), F_47(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_4(x)*F_61(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_53(x)*F_57(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_4(x)*F_45(x)*F_5(x)*F_50(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_4(x)*F_48(x)*F_57(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_4(x)*F_45(x)*F_9(x))
Eq(F_69(x), F_11(x) - F_43(x))
Eq(F_70(x), F_71(x)/F_4(x))
Eq(F_71(x), F_67(x))
Eq(F_72(x), F_73(x))
Eq(F_73(x), F_4(x)*F_45(x)*F_74(x))
Eq(F_74(x), F_1(x) + F_193(x) + F_194(x) + F_75(x))
Eq(F_75(x), F_4(x)*F_76(x))
Eq(F_76(x), F_7(x) + F_77(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_4(x)*F_79(x))
Eq(F_79(x), F_185(x) + F_80(x))
Eq(F_80(x), F_5(x)*F_81(x))
Eq(F_81(x), F_74(x) + F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_4(x)*F_84(x))
Eq(F_84(x), F_183(x) + F_85(x))
Eq(F_85(x), F_178(x) + F_86(x))
Eq(F_86(x), F_74(x)*F_87(x))
Eq(F_87(x), F_88(x)/F_4(x))
Eq(F_88(x), -F_1(x) - F_174(x) + F_89(x))
Eq(F_89(x), F_0(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_0(x)*F_4(x)*F_92(x))
Eq(F_92(x), F_89(x) + F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_4(x)*F_95(x))
Eq(F_95(x), F_172(x) + F_96(x))
Eq(F_96(x), F_0(x)*F_97(x))
Eq(F_97(x), -F_166(x) + F_98(x))
Eq(F_98(x), F_146(x) + F_99(x))
Eq(F_99(x), F_100(x)/F_4(x))
Eq(F_100(x), -F_1(x) - F_101(x) - F_145(x) + F_48(x))
Eq(F_101(x), F_102(x)*F_4(x))
Eq(F_102(x), F_103(x)/F_4(x))
Eq(F_103(x), -F_1(x) - F_104(x) - F_144(x) + F_7(x))
Eq(F_104(x), F_105(x)*F_4(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), -F_1(x) - F_107(x) - F_108(x) + F_53(x))
Eq(F_107(x), F_4(x)*F_57(x))
Eq(F_108(x), F_109(x)*F_4(x))
Eq(F_109(x), F_110(x) + F_53(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_4(x))
Eq(F_112(x), F_113(x) + F_114(x))
Eq(F_113(x), F_53(x)*F_87(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_109(x)*F_116(x)*F_4(x))
Eq(F_116(x), F_117(x)/F_4(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_120(x) - F_99(x))
Eq(F_120(x), F_121(x)/F_4(x))
Eq(F_121(x), -F_1(x) - F_122(x) - F_140(x) - F_143(x) + F_57(x))
Eq(F_122(x), F_123(x)*F_4(x))
Eq(F_123(x), F_102(x) + F_124(x))
Eq(F_124(x), F_125(x))
Eq(F_125(x), F_126(x)/F_4(x))
Eq(F_126(x), -F_100(x) - F_127(x) - F_128(x) + F_47(x))
Eq(F_127(x), 0)
Eq(F_128(x), F_129(x)*F_4(x))
Eq(F_129(x), F_130(x) + F_47(x))
Eq(F_130(x), F_131(x))
Eq(F_131(x), F_132(x)*F_4(x))
Eq(F_132(x), F_133(x) + F_137(x))
Eq(F_133(x), F_134(x) + F_135(x))
Eq(F_134(x), F_47(x)*F_87(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_116(x)*F_4(x)*F_99(x))
Eq(F_137(x), F_138(x))
Eq(F_138(x), F_116(x)*F_139(x)*F_4(x))
Eq(F_139(x), F_129(x))
Eq(F_140(x), F_141(x)*F_4(x))
Eq(F_141(x), F_139(x) + F_142(x))
Eq(F_142(x), F_129(x) + F_74(x))
Eq(F_143(x), F_4(x)*F_87(x))
Eq(F_144(x), F_4(x)*F_57(x))
Eq(F_145(x), F_142(x)*F_4(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_148(x)*F_4(x))
Eq(F_148(x), F_149(x) + F_161(x))
Eq(F_149(x), F_150(x) + F_159(x))
Eq(F_150(x), F_151(x) + F_152(x))
Eq(F_151(x), F_87(x)*F_99(x))
Eq(F_152(x), F_153(x))
Eq(F_153(x), F_154(x)*F_157(x)*F_4(x))
Eq(F_154(x), F_155(x)/F_4(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_87(x) - F_89(x))
Eq(F_157(x), F_158(x) + F_87(x))
Eq(F_158(x), F_156(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_154(x)*F_4(x)*F_97(x))
Eq(F_161(x), F_162(x) + F_164(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_116(x)*F_157(x)*F_4(x))
Eq(F_164(x), F_165(x))
Eq(F_165(x), F_154(x)*F_166(x)*F_4(x))
Eq(F_166(x), F_118(x) + F_167(x))
Eq(F_167(x), F_168(x))
Eq(F_168(x), F_169(x)*F_4(x))
Eq(F_169(x), F_161(x) + F_170(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_118(x)*F_87(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_0(x)*F_154(x)*F_4(x))
Eq(F_174(x), F_175(x)*F_4(x))
Eq(F_175(x), F_176(x) + F_50(x))
Eq(F_176(x), F_177(x))
Eq(F_177(x), F_4(x)*F_50(x)*F_87(x))
Eq(F_178(x), F_179(x))
Eq(F_179(x), F_116(x)*F_180(x)*F_4(x))
Eq(F_180(x), F_181(x) + F_74(x))
Eq(F_181(x), F_182(x))
Eq(F_182(x), F_4(x)*F_74(x)*F_87(x))
Eq(F_183(x), F_184(x))
Eq(F_184(x), F_154(x)*F_4(x)*F_81(x))
Eq(F_185(x), F_186(x))
Eq(F_186(x), F_11(x)*F_187(x)*F_4(x))
Eq(F_187(x), F_188(x)/F_4(x))
Eq(F_188(x), -F_1(x) + F_180(x) - F_189(x) - F_193(x) - F_194(x))
Eq(F_189(x), F_190(x)*F_4(x))
Eq(F_190(x), F_191(x) + F_76(x))
Eq(F_191(x), F_192(x))
Eq(F_192(x), F_187(x)*F_4(x)*F_5(x))
Eq(F_193(x), F_4(x)*F_81(x))
Eq(F_194(x), F_180(x)*F_4(x))
Eq(F_195(x), F_4(x)*F_74(x))
Pack JSON:
{"name": "point_and_col_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": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "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}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 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": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 4, 0, 3, 1], "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, 2], [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, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 2], [0, 2], [0, 0], [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, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [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, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 4, 3, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], 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