03241_03412_03421_04312_04321_30241_30412_30421
Counting sequence:
1, 1, 2, 6, 24, 112, 563, 2934, 15619, 84460, 462722, 2563948, 14348171, 80991571, 460649216, 2637480103, 15190065380, 87942253527, 511519742179, 2987782686734, 17517876881013, 103064198902171, 608269470048854, 3600232645158518, 21365348168840401, 127099714686125008, 757800301002196454, 4527616184034010088, 27103510014257434671, 162541956715586815241, 976422889471600791100, 5874844092881608400759, 35399600888174000700663, 213602089296379089572748, 1290572988429465711397486, 7807237578708962581762004, 47284676461706968517043006, 286697871338486050346067245, 1740141135668365176487277184, 10572489950797241848340546600, 64295629440591412958225609540, 391360599892239633008122681570, 2384216816650685591729366794934, 14536845883951265956208548054375, 88702197139343150735456606339650, 541655726041213294454041092661554, 3309962370810968609886620542356114, 20240461232573537026962291343121135, 123852013311134011885957437228233297, 758332186636982300702899395689314702, 4645995501571241958895199183300930202, 28480703708712678768378149370916379870, 174689027584467422192463661566061498599, 1072048436165256832003833895019497717526, 6582463316807939701785958484597255880423, 40437062959764778121595103101480359271732, 248530771741561388306603995298733617406714, 1528209284666744683829094171622208966172779, 9401143248226610210051469657926559576121552, 57858490246515631120136233245961579588807317, 356234404993680363641651999631483305850067327, 2194224274079004892108049206875974266870767648, 13520629058317911469908837620080309772871817327, 83344724685152138121024355460443118513228863505, 513948412033967641099225047175837563873722665315, 3170415839449207633476639960088983892770513379633, 19564264882637909571789678897434653678532492074662, 120769416686230712845820799768132811218373933475682, 745748269084667406254009827225959935979610766565935, 4606438705384611248470628285399521422812626998151924, 28462443255847501729227259062788306001971154185518837, 175917539985825855723967637620304409685814540449409338, 1087608504159267042085359035580779982153814339149305346, 6726034352132587854096934695698901698245381040541205678, 41606893423454519173596873578163219709501032976735000047, 257447122976936447751638997008047594297562664691755101349, 1593398057665120213134395094727825375512416582267324631830, 9864409112453406223351144517092400906998191843972131426160, 61083736602017196372119820060405350651788849277353343580598, 378342497595762892215730390845393848525533835231946402394607, 2343943031740987804712213906943406998067776097584826887101484, 14524756277592842159164046930380114883933017163036010496191931, 90026031027335375742065135456507030354347663873922091323020761, 558113416363292798786638718859071937605725407304060665110508925, 3460745582296106608015598306898619950437750171763009071466415000, 21463846729790498635502681993912020408473580923556241339815546591, 133147806652318662274407207335616016254697911835728570587580566876, 826127384683505795573479189327273455509642565848557911216355657967, 5126779079123744164194548123879707899603132246225587401851676198348, 31821809887120190937794933967209470073030758176565140309629772869503, 197554081629167665523915483777200633601678047832030273883661737426513, 1226665702141544264029125992623902102098374644419011922901692666377921, 7618049834368747111124056447729861831306977840301131705161410391460818, 47319168958237797814964826499092141180153759272052379963504852575309300, 293971016881123118735214182788714882624633119856141246269104251402448589, 1826604282937804201961554913275922524818546867129496655178448510594405727, 11351558002586812345869928786878266328462745949072106970582143667602461282, 70556342049972210009622097426608886423664155570989203976567435013512453143, 438616342196597410983526688735103408576968563469634508376412788938893090990, 2727095551113326920641117395808952389490493862122168731933013532502359102187, 16958262872546251302828478554142530805932535704580454337904050757605395997759
Implicit equation for the generating function in Maple syntax:
x^5*(2*x-3)*F(x)^8-x^4*(4*x^2-6*x-5)*F(x)^7+x^3*(x+1)*(2*x^2-7*x-2)*F(x)^6+x^2*(2*x^3+8*x^2-4*x+1)*F(x)^5-x^2*(4*x^2-8*x-3)*F(x)^4-x*(3*x^2+4*x+2)*F(x)^3+3*x^2*F(x)^2+(x+1)*F(x)-1 = 0
Implicit equation for the generating function in latex syntax:
x^{5} \left(2 x -3\right) F \! \left(x \right)^{8}-x^{4} \left(4 x^{2}-6 x -5\right) F \! \left(x \right)^{7}+x^{3} \left(x +1\right) \left(2 x^{2}-7 x -2\right) F \! \left(x \right)^{6}+x^{2} \left(2 x^{3}+8 x^{2}-4 x +1\right) F \! \left(x \right)^{5}-x^{2} \left(4 x^{2}-8 x -3\right) F \! \left(x \right)^{4}-x \left(3 x^{2}+4 x +2\right) F \! \left(x \right)^{3}+3 x^{2} F \! \left(x \right)^{2}+\left(x +1\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) = 112
a(6) = 563
a(7) = 2934
a(8) = 15619
a(9) = 84460
a(10) = 462722
a(11) = 2563948
a(12) = 14348171
a(13) = 80991571
a(14) = 460649216
a(15) = 2637480103
a(16) = 15190065380
a(17) = 87942253527
a(18) = 511519742179
a(19) = 2987782686734
a(20) = 17517876881013
a(21) = 103064198902171
a(22) = 608269470048854
a(23) = 3600232645158518
a(24) = 21365348168840401
a(25) = 127099714686125008
a(26) = 757800301002196454
a(27) = 4527616184034010088
a(28) = 27103510014257434671
a(29) = 162541956715586815241
a(30) = 976422889471600791100
a(31) = 5874844092881608400759
a(32) = 35399600888174000700663
a(33) = 213602089296379089572748
a(34) = 1290572988429465711397486
a(35) = 7807237578708962581762004
a(36) = 47284676461706968517043006
a(37) = 286697871338486050346067245
a(38) = 1740141135668365176487277184
a(39) = 10572489950797241848340546600
a(40) = 64295629440591412958225609540
a(41) = 391360599892239633008122681570
a(42) = 2384216816650685591729366794934
a(43) = 14536845883951265956208548054375
a(44) = 88702197139343150735456606339650
a(45) = 541655726041213294454041092661554
a(46) = 3309962370810968609886620542356114
a(47) = 20240461232573537026962291343121135
a(48) = 123852013311134011885957437228233297
a(49) = 758332186636982300702899395689314702
a(50) = 4645995501571241958895199183300930202
a(51) = 28480703708712678768378149370916379870
a(52) = 174689027584467422192463661566061498599
a(53) = 1072048436165256832003833895019497717526
a(54) = 6582463316807939701785958484597255880423
a(55) = 40437062959764778121595103101480359271732
a(56) = 248530771741561388306603995298733617406714
a(57) = 1528209284666744683829094171622208966172779
a(58) = 9401143248226610210051469657926559576121552
a(59) = 57858490246515631120136233245961579588807317
a(60) = 356234404993680363641651999631483305850067327
a(61) = 2194224274079004892108049206875974266870767648
a(62) = 13520629058317911469908837620080309772871817327
a(63) = 83344724685152138121024355460443118513228863505
a(64) = 513948412033967641099225047175837563873722665315
a(65) = 3170415839449207633476639960088983892770513379633
a(66) = 19564264882637909571789678897434653678532492074662
a(67) = 120769416686230712845820799768132811218373933475682
a(68) = 745748269084667406254009827225959935979610766565935
a(69) = 4606438705384611248470628285399521422812626998151924
a(70) = 28462443255847501729227259062788306001971154185518837
a(71) = 175917539985825855723967637620304409685814540449409338
a(72) = 1087608504159267042085359035580779982153814339149305346
a(73) = 6726034352132587854096934695698901698245381040541205678
a(74) = 41606893423454519173596873578163219709501032976735000047
a(75) = 257447122976936447751638997008047594297562664691755101349
a(76) = 1593398057665120213134395094727825375512416582267324631830
a(77) = 9864409112453406223351144517092400906998191843972131426160
a(78) = 61083736602017196372119820060405350651788849277353343580598
a(79) = 378342497595762892215730390845393848525533835231946402394607
a(80) = 2343943031740987804712213906943406998067776097584826887101484
a(81) = 14524756277592842159164046930380114883933017163036010496191931
a(82) = 90026031027335375742065135456507030354347663873922091323020761
a(83) = 558113416363292798786638718859071937605725407304060665110508925
a(84) = 3460745582296106608015598306898619950437750171763009071466415000
a(85) = 21463846729790498635502681993912020408473580923556241339815546591
a(86) = 133147806652318662274407207335616016254697911835728570587580566876
a(87) = 826127384683505795573479189327273455509642565848557911216355657967
a(88) = 5126779079123744164194548123879707899603132246225587401851676198348
a(89) = 31821809887120190937794933967209470073030758176565140309629772869503
a(90) = 197554081629167665523915483777200633601678047832030273883661737426513
a(91) = 1226665702141544264029125992623902102098374644419011922901692666377921
a(92) = 7618049834368747111124056447729861831306977840301131705161410391460818
a(93) = 47319168958237797814964826499092141180153759272052379963504852575309300
a(94) = 293971016881123118735214182788714882624633119856141246269104251402448589
a(95) = 1826604282937804201961554913275922524818546867129496655178448510594405727
a(96) = 11351558002586812345869928786878266328462745949072106970582143667602461282
a(97) = 70556342049972210009622097426608886423664155570989203976567435013512453143
a(98) = 438616342196597410983526688735103408576968563469634508376412788938893090990
a(99) = 2727095551113326920641117395808952389490493862122168731933013532502359102187
a(100) = 16958262872546251302828478554142530805932535704580454337904050757605395997759
a(101) = 105469415843090622984267185577971903170636984992183811238005488289934308561507
a(102) = 656046515026099436107660614310244512418219361675783808952265234130467827108392
a(103) = 4081355466000059508735082028935829001752564131288783462125627527166467580157302
a(104) = 25394210944194843874108291477000299485102062533861781253876707149303809343777810
a(105) = 158024486520419936917053471722959721550025970508214285358977641949484682607343433
a(106) = 983495323252415785487786319150359692044881605451161784476482912567592506586074735
a(107) = 6121775102874136949100236240961103383510983129238397494697469940774593311542374787
a(108) = 38109964749085000032705168874647074147320617360799768640907203010620270546040603754
a(109) = 237276540179582581232029062816724867335960933523221614158591892658964549570177329639
a(110) = 1477491986411401429898183116003716689233732072321466498464977666229907077987856726839
a(111) = 9201286931109213485315162665816266982165892356682182907125302610640262626182769024515
a(112) = 57309177376255095919058206523686845027769778021097163094232498980483828033521445446977
a(113) = 356985860760504104734048328223572857675656709374177413837529663366864849199557080313645
a(114) = 2223966284547373184719106682719105471207528387746609265169158464456680787017730471991401
a(115) = 13856541683020386072289321270396154440002056219698936855487697881491850193507396210397464
a(116) = 86343594577727802156003620784895050021027883822249595980444586791238428790139033676615484
a(117) = 538087851233038916646578228311722787856737012678912611255102502494892883041488160951420905
a(118) = 3353692427735004348307059088988471714728042601983685109536095667932570441564674598325097441
a(119) = 20904484744958746243524531901524697791382797316536928806377317640122422597418374398379992327
a(120) = 130317017010331074503452355305567371098277714912043866826680441019950404933069826214771367360
a(121) = 812470253823066569167740662732088861372901767089633249511354962244336538811792256811874928435
a(122) = 5065913318899171611241127691513342699642519536017348963724195620336102980431794827696993179674
a(123) = 31590119738517742363058523340984672938802452210250875843170646618491536290490367179564896695864
a(124) = 197009571564365379240663449414004031972396413287332224782436761005940050438837077867489351452676
a(125) = 1228754832466958654563191222382101538365294593428262630087512978722566349628269632404275745615362
a(126) = 7664509131029352301310185549115821212898064714434817360279428138839525688968220830432525874338351
a(127) = 47812780516702897180534375176172640201950887339612542306638991503336864479875093454954845240324506
a(128) = 298293349151498009628029779635217469881601303053712085819611976391077286053973325577379856431960178
a(129) = 1861154547416996484371817580390271627774175609209146009167395965671294295634328996698170732599302833
a(130) = 11613416443753942597873507924456050491285811945430653632955257037325456526344546332986297704471176871
a(131) = 72472904395973756866503574320191255740360189882679751361507187230256518999115384187976108816233247544
a(132) = 452302368135533047176811062696092682362646881269415499775569851739351220527513010794461696233285600544
a(133) = 2823052939584022237655753152365601443237941701004844631964151653075683683455212892911330357203991503197
a(134) = 17621610516782196801788214902056994919082958192262940340834426861017511947392830437463355999638959816054
a(135) = 110003891746212718621135801476603314073143850301993429004741041222909669036764699341644561331045348438676
a(136) = 686761359878467231677276917886156917594480229018543175960124520556697534173737631029232098781424864274874
a(137) = 4287839183307883796566451314160086811313860415005340905560294387871190785713742986363104671541811902656856
a(138) = 26773518970641356112997357527991268151682406394972843332475857302730325095403669234024672752022238046067527
a(139) = 167188446330360852339574900417181585716964504864262242870419799019721796287813735896148793388070153769282553
a(140) = 1044095978435849618597980480262544259438345656547179285900248238657660717525880741732051315843912102271623174
a(141) = 6520898904532556692089308373244395126141841195706504416107038175600387119575823184530002703903161233454756618
a(142) = 40729298724132808479386328487334052985697621289791472726734870870726021408878618484096785161605288366423259682
a(143) = 254412453394463453797279556720850050769086371216878051014491587443130386076560916740980949546744134906419163269
a(144) = 1589283317860821322360539163820536653859620514960280237083474129052368442406662671688241848620034480128148786626
a(145) = 9928768268603164862607811591447487083295297053522324237788060899592156773371652903179780595625444790176928534004
a(146) = 62032615166993099902809786113371834154023234656980803774014581545597226179963892247238656851174308430043181093338
a(147) = 387592224350215996924822492014493816383008526796110835686323812654405263834741959517418976074214898499644155604803
a(148) = 2421920385888300063136711939861093781732617127960703993013482307471060773946524447018672402211436192018067877483932
a(n+149) = 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613978634730099180236399244331242441636357675509*n^2+717590568869359040238604899957805296044639132791320799050110604178674047114659755225225333967506*n+8213514563021785260375159110764168639053813099125359350871109063554129631757683639087452070168640)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+81)+1/452771805974999367444206442193600118784*(769678780842434643009421667398447715277621783449341733166192530915129994155971791883*n^7+440665878626736240962494355331179255476519324425760264722176310691099980827036363756532*n^6+108056378800936254622859626070908032119942620966557844482582541681425884738839276589636428*n^5+14710583020591251771590803409913967580444639688501978981434540923134573188297135483702790510*n^4+1200781943207675600024197053288690848385889095559329731000844160818348353650155136904381978017*n^3+58768566932612864346322724288298383331136263162595699095387297321965799479476763866231687168878*n^2+1596762028272771080505623148987721976329840105551887046066594606446638413881396784424540999567512*n+18579568206045291633074929368111359578264623561917483307816037436631872648232853491374611554285600)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+82)-1/6908749480819692496402075839135744*(5192841837284986248978925841122969820607329552489696323656399319289319159*n^7+1431914436993536508610915023753445412507503256305055952734527510599511810786*n^6+168669088251955835942522627238096976942638464892436569796946532563245215655290*n^5+11001506711741663881792735291331291647651941244984040027504861204249630134398640*n^4+429107276578962517944888689213330699786185740538809771329491207741296197248668171*n^3+10007793845796893401514864201426352049375506905790723591386447755755828542069037994*n^2+129209043078003665679097019002661976258567086215930335527134126849508777504418376440*n+712288396226625028921999359252106871355134417023308264618556099768049550622739974800)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+38)+1/13817498961639384992804151678271488*(31770466239567396529969359571492961689245330338080498748960082604805472509*n^7+9068935839918497138309300530594341007775641542565647786965759994793156613731*n^6+1106152274333671522284902729611576531966148582790023496379170882789550349545409*n^5+74735548483638613836407021381978989761984360071729115839132688098927704620462325*n^4+3020864469836707419123585442191398489860205844604841494096522543088544258867109166*n^3+73051997403290667300923539282223371861425021513076902690343919082364710131039726464*n^2+978593012917138636726363518706474588503703833394377099904985548594379496661818080316*n+5601751502880285026636482870501824236340747409403866991823383791721508054367964285760)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+39)+1/64681686567857052492029491741942874112*(9282556854170619682445196325681502493345211702310267816436433492400004198148807949*n^7+4621262376218045396923481527879448256790249799347722994252325483943931865885976438278*n^6+961930974529258541399496082326137590915849417035591028315508314530390189953908527774524*n^5+107607117478961003426472447774947639177787923691383234870410864801464096370700453313698510*n^4+6884453008105306985352947376931033902440206887126862479621963166601612749125033878975018411*n^3+244697912177065359133377567652007927406698913100264937681373194761707345954721368199698931052*n^2+4170229876654879593217775575256022943360773719535371023785083676832322096131160956172920969356*n+20092700265380276036705382730875428036202086838772527115989479723813309220253786560333194957760)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+78)-1/452771805974999367444206442193600118784*(446142083882110806230851394341589199311067826293890813308232687935750543545152038774*n^7+242917801035220482021860809611523569557013018757935781830432875538193991089303718454569*n^6+56567670605994268787495183885387607260536266935843127967134640803247440573172951252620631*n^5+7302274822387147298461377196198254461784636797616818959636433288719506200950214234861054945*n^4+564285768275659177596897791048590345769204130304953514719141559496749424506151392617631280731*n^3+26099293657332423627227692081197142784231125062057448580968191348177885381998683184378194710566*n^2+668884139987963627324699855487190313088552085644679482037816641380144121285724207079211232267944*n+7326165066375126202916060084148550722472008949980056938347493066593065393864029070330599589011200)/(2*n+297)/(n+150)/(n+149)/(n+148)/(n+147)/(n+146)/(2*n+299)*a(n+79), n >= 149
Recurrence in latex format:
a(0) = 1
a(1) = 1
a(2) = 2
a(3) = 6
a(4) = 24
a(5) = 112
a(6) = 563
a(7) = 2934
a(8) = 15619
a(9) = 84460
a(10) = 462722
a(11) = 2563948
a(12) = 14348171
a(13) = 80991571
a(14) = 460649216
a(15) = 2637480103
a(16) = 15190065380
a(17) = 87942253527
a(18) = 511519742179
a(19) = 2987782686734
a(20) = 17517876881013
a(21) = 103064198902171
a(22) = 608269470048854
a(23) = 3600232645158518
a(24) = 21365348168840401
a(25) = 127099714686125008
a(26) = 757800301002196454
a(27) = 4527616184034010088
a(28) = 27103510014257434671
a(29) = 162541956715586815241
a(30) = 976422889471600791100
a(31) = 5874844092881608400759
a(32) = 35399600888174000700663
a(33) = 213602089296379089572748
a(34) = 1290572988429465711397486
a(35) = 7807237578708962581762004
a(36) = 47284676461706968517043006
a(37) = 286697871338486050346067245
a(38) = 1740141135668365176487277184
a(39) = 10572489950797241848340546600
a(40) = 64295629440591412958225609540
a(41) = 391360599892239633008122681570
a(42) = 2384216816650685591729366794934
a(43) = 14536845883951265956208548054375
a(44) = 88702197139343150735456606339650
a(45) = 541655726041213294454041092661554
a(46) = 3309962370810968609886620542356114
a(47) = 20240461232573537026962291343121135
a(48) = 123852013311134011885957437228233297
a(49) = 758332186636982300702899395689314702
a(50) = 4645995501571241958895199183300930202
a(51) = 28480703708712678768378149370916379870
a(52) = 174689027584467422192463661566061498599
a(53) = 1072048436165256832003833895019497717526
a(54) = 6582463316807939701785958484597255880423
a(55) = 40437062959764778121595103101480359271732
a(56) = 248530771741561388306603995298733617406714
a(57) = 1528209284666744683829094171622208966172779
a(58) = 9401143248226610210051469657926559576121552
a(59) = 57858490246515631120136233245961579588807317
a(60) = 356234404993680363641651999631483305850067327
a(61) = 2194224274079004892108049206875974266870767648
a(62) = 13520629058317911469908837620080309772871817327
a(63) = 83344724685152138121024355460443118513228863505
a(64) = 513948412033967641099225047175837563873722665315
a(65) = 3170415839449207633476639960088983892770513379633
a(66) = 19564264882637909571789678897434653678532492074662
a(67) = 120769416686230712845820799768132811218373933475682
a(68) = 745748269084667406254009827225959935979610766565935
a(69) = 4606438705384611248470628285399521422812626998151924
a(70) = 28462443255847501729227259062788306001971154185518837
a(71) = 175917539985825855723967637620304409685814540449409338
a(72) = 1087608504159267042085359035580779982153814339149305346
a(73) = 6726034352132587854096934695698901698245381040541205678
a(74) = 41606893423454519173596873578163219709501032976735000047
a(75) = 257447122976936447751638997008047594297562664691755101349
a(76) = 1593398057665120213134395094727825375512416582267324631830
a(77) = 9864409112453406223351144517092400906998191843972131426160
a(78) = 61083736602017196372119820060405350651788849277353343580598
a(79) = 378342497595762892215730390845393848525533835231946402394607
a(80) = 2343943031740987804712213906943406998067776097584826887101484
a(81) = 14524756277592842159164046930380114883933017163036010496191931
a(82) = 90026031027335375742065135456507030354347663873922091323020761
a(83) = 558113416363292798786638718859071937605725407304060665110508925
a(84) = 3460745582296106608015598306898619950437750171763009071466415000
a(85) = 21463846729790498635502681993912020408473580923556241339815546591
a(86) = 133147806652318662274407207335616016254697911835728570587580566876
a(87) = 826127384683505795573479189327273455509642565848557911216355657967
a(88) = 5126779079123744164194548123879707899603132246225587401851676198348
a(89) = 31821809887120190937794933967209470073030758176565140309629772869503
a(90) = 197554081629167665523915483777200633601678047832030273883661737426513
a(91) = 1226665702141544264029125992623902102098374644419011922901692666377921
a(92) = 7618049834368747111124056447729861831306977840301131705161410391460818
a(93) = 47319168958237797814964826499092141180153759272052379963504852575309300
a(94) = 293971016881123118735214182788714882624633119856141246269104251402448589
a(95) = 1826604282937804201961554913275922524818546867129496655178448510594405727
a(96) = 11351558002586812345869928786878266328462745949072106970582143667602461282
a(97) = 70556342049972210009622097426608886423664155570989203976567435013512453143
a(98) = 438616342196597410983526688735103408576968563469634508376412788938893090990
a(99) = 2727095551113326920641117395808952389490493862122168731933013532502359102187
a(100) = 16958262872546251302828478554142530805932535704580454337904050757605395997759
a(101) = 105469415843090622984267185577971903170636984992183811238005488289934308561507
a(102) = 656046515026099436107660614310244512418219361675783808952265234130467827108392
a(103) = 4081355466000059508735082028935829001752564131288783462125627527166467580157302
a(104) = 25394210944194843874108291477000299485102062533861781253876707149303809343777810
a(105) = 158024486520419936917053471722959721550025970508214285358977641949484682607343433
a(106) = 983495323252415785487786319150359692044881605451161784476482912567592506586074735
a(107) = 6121775102874136949100236240961103383510983129238397494697469940774593311542374787
a(108) = 38109964749085000032705168874647074147320617360799768640907203010620270546040603754
a(109) = 237276540179582581232029062816724867335960933523221614158591892658964549570177329639
a(110) = 1477491986411401429898183116003716689233732072321466498464977666229907077987856726839
a(111) = 9201286931109213485315162665816266982165892356682182907125302610640262626182769024515
a(112) = 57309177376255095919058206523686845027769778021097163094232498980483828033521445446977
a(113) = 356985860760504104734048328223572857675656709374177413837529663366864849199557080313645
a(114) = 2223966284547373184719106682719105471207528387746609265169158464456680787017730471991401
a(115) = 13856541683020386072289321270396154440002056219698936855487697881491850193507396210397464
a(116) = 86343594577727802156003620784895050021027883822249595980444586791238428790139033676615484
a(117) = 538087851233038916646578228311722787856737012678912611255102502494892883041488160951420905
a(118) = 3353692427735004348307059088988471714728042601983685109536095667932570441564674598325097441
a(119) = 20904484744958746243524531901524697791382797316536928806377317640122422597418374398379992327
a(120) = 130317017010331074503452355305567371098277714912043866826680441019950404933069826214771367360
a(121) = 812470253823066569167740662732088861372901767089633249511354962244336538811792256811874928435
a(122) = 5065913318899171611241127691513342699642519536017348963724195620336102980431794827696993179674
a(123) = 31590119738517742363058523340984672938802452210250875843170646618491536290490367179564896695864
a(124) = 197009571564365379240663449414004031972396413287332224782436761005940050438837077867489351452676
a(125) = 1228754832466958654563191222382101538365294593428262630087512978722566349628269632404275745615362
a(126) = 7664509131029352301310185549115821212898064714434817360279428138839525688968220830432525874338351
a(127) = 47812780516702897180534375176172640201950887339612542306638991503336864479875093454954845240324506
a(128) = 298293349151498009628029779635217469881601303053712085819611976391077286053973325577379856431960178
a(129) = 1861154547416996484371817580390271627774175609209146009167395965671294295634328996698170732599302833
a(130) = 11613416443753942597873507924456050491285811945430653632955257037325456526344546332986297704471176871
a(131) = 72472904395973756866503574320191255740360189882679751361507187230256518999115384187976108816233247544
a(132) = 452302368135533047176811062696092682362646881269415499775569851739351220527513010794461696233285600544
a(133) = 2823052939584022237655753152365601443237941701004844631964151653075683683455212892911330357203991503197
a(134) = 17621610516782196801788214902056994919082958192262940340834426861017511947392830437463355999638959816054
a(135) = 110003891746212718621135801476603314073143850301993429004741041222909669036764699341644561331045348438676
a(136) = 686761359878467231677276917886156917594480229018543175960124520556697534173737631029232098781424864274874
a(137) = 4287839183307883796566451314160086811313860415005340905560294387871190785713742986363104671541811902656856
a(138) = 26773518970641356112997357527991268151682406394972843332475857302730325095403669234024672752022238046067527
a(139) = 167188446330360852339574900417181585716964504864262242870419799019721796287813735896148793388070153769282553
a(140) = 1044095978435849618597980480262544259438345656547179285900248238657660717525880741732051315843912102271623174
a(141) = 6520898904532556692089308373244395126141841195706504416107038175600387119575823184530002703903161233454756618
a(142) = 40729298724132808479386328487334052985697621289791472726734870870726021408878618484096785161605288366423259682
a(143) = 254412453394463453797279556720850050769086371216878051014491587443130386076560916740980949546744134906419163269
a(144) = 1589283317860821322360539163820536653859620514960280237083474129052368442406662671688241848620034480128148786626
a(145) = 9928768268603164862607811591447487083295297053522324237788060899592156773371652903179780595625444790176928534004
a(146) = 62032615166993099902809786113371834154023234656980803774014581545597226179963892247238656851174308430043181093338
a(147) = 387592224350215996924822492014493816383008526796110835686323812654405263834741959517418976074214898499644155604803
a(148) = 2421920385888300063136711939861093781732617127960703993013482307471060773946524447018672402211436192018067877483932
a{\left(n + 149 \right)} = - \frac{846908893496047069252550656 n \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(2 n + 3\right) a{\left(n \right)}}{1434274163448762957805623339 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{129922760704 \left(n + 1\right) \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(189910280526200482622 n^{2} + 1103799257231768918265 n + 1587331569107868593940\right) a{\left(n + 1 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{2952790016 \left(n + 2\right) \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(938774896663795797367282 n^{3} + 11688317168824143097272631 n^{2} + 47010152738427416392267977 n + 61820462309965498752692058\right) a{\left(n + 2 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{738197504 \left(n + 3\right) \left(n + 4\right) \left(n + 5\right) \left(228293205452825952756049172 n^{4} + 4650140510217231489854688117 n^{3} + 34982177014114156384123779403 n^{2} + 115121876047540495750818989160 n + 139867160817030071271669819612\right) a{\left(n + 3 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{16777216 \left(n + 4\right) \left(n + 5\right) \left(368456950408076336001737169172 n^{5} + 10738145208352959662311492371431 n^{4} + 123925408955442151655325010075046 n^{3} + 707416196485343464667019585817681 n^{2} + 1995402574266322768323035948824974 n + 2221850101883105618349641243874000\right) a{\left(n + 4 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{4194304 \left(n + 5\right) \left(32582637340303407882062740393474 n^{6} + 1248024919799680945308507539649251 n^{5} + 19708619381982082368340183284586232 n^{4} + 164090157294339812401080928698123085 n^{3} + 758600664947859399788611196278324326 n^{2} + 1842637878463495524979693470404622624 n + 1831772810336938646262523793366110848\right) a{\left(n + 5 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(63093421917653686134889690 n^{2} + 18298305319390502815479372987 n + 1326298466036934207871186982120\right) a{\left(n + 148 \right)}}{400635116288088376055424 \left(n + 150\right) \left(2 n + 299\right)} - \frac{\left(597304726687416573748229865558508 n^{4} + 344069614891412284685603536834052956 n^{3} + 74304109207492960946234121649872417749 n^{2} + 7129819404446170797486863118643042395857 n + 256480225834428419293908911286419533116060\right) a{\left(n + 147 \right)}}{53576132830973482353139740672 \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(2809274616091274918404426179132735856 n^{5} + 1978386331479360669614412163926483948784 n^{4} + 556788831618429000513736293502032999908714 n^{3} + 78274153163332754669450128532076045931470185 n^{2} + 5496273137380674067960410508757817124627252671 n + 154206004124355874213900963563155615795124643440\right) a{\left(n + 146 \right)}}{15429926255320362917704245313536 \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(452735945924415174527689125428421941968 n^{6} + 426737143578817775471432252516927869360368 n^{5} + 166437438169538117265505104135395161820522290 n^{4} + 34416730834092991324170219773859027069859284645 n^{3} + 3982827263100702806149963922916998182312130347822 n^{2} + 244723864371484635502908306533362785941598913411947 n + 6240885979158743569178855311146508018837578148019760\right) a{\left(n + 145 \right)}}{370318230127688710024901887524864 \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{1048576 \left(1664016469997366162054831312419294 n^{7} + 79736823828492171071693531341728739 n^{6} + 1621064310917611277623606366488372697 n^{5} + 18123405909420271034461369068904070585 n^{4} + 120305973514297668431721464545373289181 n^{3} + 473976751837676599250374343630495647956 n^{2} + 1025556199641387744204884363412242301468 n + 939343296795405449887772051945948097120\right) a{\left(n + 6 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{262144 \left(17931678967509586268878031399269304 n^{7} + 1131784354478525885699783803153958771 n^{6} + 30838290974943129842270027256757171045 n^{5} + 469696854616121643763622158871190112565 n^{4} + 4312234903162213601214594712988533757751 n^{3} + 23823305935529644896882161001406787582024 n^{2} + 73207329299319547094021920079795444536860 n + 96377105784090839543312003704231893024480\right) a{\left(n + 7 \right)}}{10039919144141340704639363373 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{131072 \left(17669979533995283727433928238970476799 n^{7} + 1304685248811782340110648525725987547752 n^{6} + 41083982641478100734062468418373056846196 n^{5} + 715282247171143083120172151835730329480210 n^{4} + 7436323962501774376437669343876395914414501 n^{3} + 46165552502326798403783246440627851010675478 n^{2} + 158464176402612964464556944843815203369199544 n + 232001001810460850205552523446957843969921600\right) a{\left(n + 8 \right)}}{70279434008989384932475543611 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{65536 \left(5359933607592009816660782949395144508065 n^{7} + 427100075854837177724002987372115201719029 n^{6} + 14530548072507258302684799950611660317034727 n^{5} + 273624834703367847471065464271978057431674795 n^{4} + 3080351251319812192937922081762852347313736040 n^{3} + 20731776346341082025243586000641758167721064376 n^{2} + 77242538633983520693381099124809092437610748808 n + 122904723411943261976188029401705949853036338720\right) a{\left(n + 9 \right)}}{210838302026968154797426630833 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{32768 \left(353441210728717463145901485375017702630359 n^{7} + 30328169061260020468730274134490852357617526 n^{6} + 1112261901389167431741952649313022539149388232 n^{5} + 22600533151386747670208321434694676446858458710 n^{4} + 274800099327030384354545176435307812882738507261 n^{3} + 1999455021358934492389458761366089697426691795924 n^{2} + 8060970834563710973014120883781211543821537183588 n + 13891407209599876082563252851280612626194710252800\right) a{\left(n + 10 \right)}}{210838302026968154797426630833 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{16384 \left(17044295076710711051394731329932133732809152 n^{7} + 1573494659796663654703206866247751994984751015 n^{6} + 62116224462198295571839794171899370456561366329 n^{5} + 1359307136126575386064366137734035663729130266365 n^{4} + 17809000380696956690131277773845166695313112436443 n^{3} + 139695331970572157409011141251696926116027455733820 n^{2} + 607477468836351989613461308529645118665548371064956 n + 1129764101104369256020125364315019286034466730030000\right) a{\left(n + 11 \right)}}{210838302026968154797426630833 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{\left(110497962876661362141204643683599215418437528 n^{7} + 112051883691963023733421313485698413118032465272 n^{6} + 48688068895188953187464822904553097783538648910024 n^{5} + 11750864892356121608227496400714438196131064536683245 n^{4} + 1701319301282940068476074942034916222330791694706059062 n^{3} + 147764988863143755386394233797825307986691776362925977403 n^{2} + 7128598937625495796562837594008175123141941704655284077706 n + 147360254156977963888197537982651253470194120563341003113120\right) a{\left(n + 144 \right)}}{884319933544920639539465707409375232 \left(n + 146\right) \left(n + 147\right) 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\frac{\left(769678780842434643009421667398447715277621783449341733166192530915129994155971791883 n^{7} + 440665878626736240962494355331179255476519324425760264722176310691099980827036363756532 n^{6} + 108056378800936254622859626070908032119942620966557844482582541681425884738839276589636428 n^{5} + 14710583020591251771590803409913967580444639688501978981434540923134573188297135483702790510 n^{4} + 1200781943207675600024197053288690848385889095559329731000844160818348353650155136904381978017 n^{3} + 58768566932612864346322724288298383331136263162595699095387297321965799479476763866231687168878 n^{2} + 1596762028272771080505623148987721976329840105551887046066594606446638413881396784424540999567512 n + 18579568206045291633074929368111359578264623561917483307816037436631872648232853491374611554285600\right) a{\left(n + 82 \right)}}{452771805974999367444206442193600118784 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{\left(1281616051670258974720272993694997308415703967983155544680911257845240104154867702586 n^{7} + 609616951806153805555681201525288952520233009390449038328963934810723988341936944783463 n^{6} + 124135348416475807291882934951815885490744153509017576361574927863442038584637193200807109 n^{5} + 14026407035265131854480186360338980979220685707769254624604008331955933216703942493537962175 n^{4} + 949728412230763773742183004999658207816600996552906156588145100132350452025473470937582029769 n^{3} + 38531553928957585092928389462832432472319075839217545377822549388424560394185571326982074684522 n^{2} + 867225102678131396648594308087487820683608282839893932894372485375049363744304586009296624433736 n + 8352070014938628338687582729650349894013716809400574819430353750583391683315177013717169238630080\right) a{\left(n + 70 \right)}}{150923935324999789148068814064533372928 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{\left(1521334966032701731035035168327446396297079144798785613265805252670765584892498928722 n^{7} + 778426812115058749101431415509213129209271685818842356130429754032870925409247291400831 n^{6} + 170680469455948979972572089948099046055930961092649076261406410638650442496155012825491174 n^{5} + 20788467804167509980880085118769277894291993815595684620346467745589424389429615000763999550 n^{4} + 1518981111105491803705643882294241991647010895076399593397208749762367121599617994833335281298 n^{3} + 66583712010441001423093898847797160918788360965223213323118229942120093427211420479655774691299 n^{2} + 1621211637094529295801642561505478866409895681384263578464206573974653321788350032842433178267926 n + 16914411404511515471563843913931724108702816094328609539876696199301841979101237932293582042240000\right) a{\left(n + 74 \right)}}{226385902987499683722103221096800059392 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(1567072692080111740210798922131435804224509683571647012842160939108375227652406584063 n^{7} + 728661417215537868460524328251757025777192848101432750428103864452887291324109973263098 n^{6} + 144954511846832229982170126181870194857784161320131219190190916283463479243408773611480488 n^{5} + 15990113322650560329039649377923324201887025518798310732845524644539832055624735164716452730 n^{4} + 1056188334451531802731329844247361739991839500781931299351070622750194780821127105511215168797 n^{3} + 41766145293933861794643486245041028568067476169897293558522910249933696717878041922796293399172 n^{2} + 915353873641419643114377508130699642586995143512699891878602600755246951047983736144176909821012 n + 8574915502169002708663125291247230766349986712265114065936413896861251320669122402898022428233600\right) a{\left(n + 69 \right)}}{226385902987499683722103221096800059392 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(2113630173071152171546823560566903222243838856240195230057269094686264034202973939700 n^{7} + 1025848883922579311223014978847116521146118557391989229287465016715254742567008869032788 n^{6} + 213224858122243560536819235379533106206854134359505350356947577448295310401001369451523747 n^{5} + 24602464248524197389360025257600877422305937997879718503091937078710652703123293264238129945 n^{4} + 1701805564172929024745596005630230772383605453324455176557942542212093968574516323577510030335 n^{3} + 70568450344572775912759922288238113183812903777181245496395991009919636914717884181311312729147 n^{2} + 1624177968761435345108861529210961351021971397549128167265796682786563265949178302666467140329858 n + 16004770067286627366406300510997485598211142720005331593628729614482813128098180486070017061507920\right) a{\left(n + 71 \right)}}{226385902987499683722103221096800059392 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(2153874307960783295578079498951299054961672317137382845187571625806883365796339623782 n^{7} + 1120438156415133210510818913730854697868548529618655753195641859497410182835319458502161 n^{6} + 249818194012410210847829649775176982273926629385439707206266679156223591062642656759431823 n^{5} + 30947812258747367273725376039990356101251045180291551175139292446587860373682386511521451085 n^{4} + 2300518602369899630428306243089908286283958660655168311239619979072114339082678957270290793723 n^{3} + 102614212341782730202013512108372327580595195847515036801728883725883728253250673157134408845714 n^{2} + 2543004777104322452032853243941654624781035954037896363799876712085021897348500763781051015777952 n + 27010693089624877791180992936012143244193628671468021392645373448404895280682778510902354461719200\right) a{\left(n + 75 \right)}}{452771805974999367444206442193600118784 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} + \frac{\left(3775721746557062399885853391288422239969427216143699561387549939381026336984620106175 n^{7} + 1899783196768631616202216083169933154277226669872243950975124211815066199097588893991271 n^{6} + 409545177503960038433440191151642221172124591113438849803759971075878114352524058125600133 n^{5} + 49033210735019775903857624812749167353009883735843867743325884459469406202412093772091791585 n^{4} + 3521158672235638382668318891213867202965174748668762011325178732107048552275060967618995330260 n^{3} + 151662887483560791595620100509782874610356235434299352803258803056516209317607173443811231734504 n^{2} + 3627762750007120646230516276366314360891553046738234025208800077501701196370981052607000302675032 n + 37174957256079873209867940810555691360944130323641991143085729914066093159293478484028327623735360\right) a{\left(n + 73 \right)}}{452771805974999367444206442193600118784 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)} - \frac{\left(4201932627078759753321465157989758095307414630887178790762963507455295457049988945645 n^{7} + 2077605685362026144483811269974952858356369283070650464764163236519830582213779366314056 n^{6} + 440033901076113826785019758699875735333492905926727839919289461231812260553811136492397504 n^{5} + 51750102498575739000609227711924313917134906855943249318741476964798764775120951148180366770 n^{4} + 3649640635446990668826391211701568573981078037553171259364467633158494023217120463365789026355 n^{3} + 154344048301156123873466508987136172709987572422041475214587550923650734012658860908033142206454 n^{2} + 3624039258701967085362309796827659289746490923455466236373231552872641812946127023001999280042256 n + 36445156670523561516496843140943824935716896336920068544740386128943765902971641137352438730617600\right) a{\left(n + 72 \right)}}{452771805974999367444206442193600118784 \left(n + 146\right) \left(n + 147\right) \left(n + 148\right) \left(n + 149\right) \left(n + 150\right) \left(2 n + 297\right) \left(2 n + 299\right)}, \quad n \geq 149
Specification 1
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25009/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[15,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[151,x]
F[11,x] = F[12,x]+F[16,x]
F[12,x] = -F[0,x]+F[13,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[2,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[12,x]*F[4,x]
F[20,x] = F[0,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[15,x]*F[23,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = 1/F[15,x]*F[25,x]
F[25,x] = F[12,x]
F[26,x] = -F[55,x]+F[27,x]
F[27,x] = 1/F[15,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = -F[12,x]+F[30,x]
F[30,x] = -F[34,x]+F[31,x]
F[31,x] = 1/F[15,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = -F[2,x]+F[12,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[13,x]*F[2,x]
F[36,x] = F[37,x]
F[37,x] = F[15,x]*F[38,x]*F[50,x]
F[38,x] = F[39,x]+F[9,x]
F[39,x] = F[40,x]
F[40,x] = F[41,x]+F[44,x]
F[41,x] = F[2,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[15,x]*F[38,x]
F[44,x] = F[45,x]
F[45,x] = F[15,x]*F[46,x]
F[46,x] = F[47,x]+F[48,x]
F[47,x] = F[13,x]*F[41,x]
F[48,x] = F[49,x]
F[49,x] = F[30,x]+F[36,x]
F[50,x] = F[0,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[0,x]*F[15,x]*F[53,x]
F[53,x] = F[13,x]+F[54,x]
F[54,x] = F[2,x]*F[50,x]
F[55,x] = F[56,x]
F[56,x] = F[15,x]*F[57,x]
F[57,x] = 1/F[15,x]*F[58,x]
F[58,x] = F[59,x]
F[59,x] = -F[62,x]+F[60,x]
F[60,x] = 1/F[15,x]*F[61,x]
F[61,x] = F[29,x]
F[62,x] = F[63,x]
F[63,x] = F[64,x]+F[65,x]
F[64,x] = F[12,x]*F[13,x]
F[65,x] = F[50,x]*F[66,x]
F[66,x] = -F[12,x]+F[67,x]
F[67,x] = F[68,x]
F[68,x] = F[15,x]*F[69,x]
F[69,x] = 1/F[15,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = 1/F[128,x]/F[15,x]*F[72,x]
F[72,x] = F[73,x]
F[73,x] = -F[139,x]+F[74,x]
F[74,x] = 1/F[0,x]/F[15,x]*F[75,x]
F[75,x] = F[76,x]
F[76,x] = F[136,x]+F[77,x]
F[77,x] = -F[129,x]+F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[128,x]*F[15,x]*F[80,x]
F[80,x] = F[123,x]+F[81,x]
F[81,x] = F[104,x]+F[82,x]
F[82,x] = F[0,x]+F[83,x]
F[83,x] = F[2,x]+F[84,x]
F[84,x] = F[85,x]
F[85,x] = F[15,x]*F[86,x]
F[86,x] = F[87,x]+F[93,x]
F[87,x] = F[88,x]+F[89,x]
F[88,x] = F[0,x]*F[2,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = F[19,x]+F[92,x]
F[92,x] = F[0,x]*F[30,x]
F[93,x] = F[94,x]
F[94,x] = F[0,x]*F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[15,x]*F[97,x]
F[97,x] = F[13,x]+F[98,x]
F[98,x] = F[51,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[15,x]
F[101,x] = F[102,x]+F[103,x]
F[102,x] = F[12,x]*F[53,x]
F[103,x] = F[40,x]*F[50,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[15,x]
F[106,x] = F[107,x]+F[119,x]
F[107,x] = F[0,x]*F[108,x]
F[108,x] = F[109,x]+F[114,x]
F[109,x] = F[0,x]+F[110,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[15,x]
F[112,x] = 1/F[15,x]*F[113,x]
F[113,x] = F[12,x]
F[114,x] = F[115,x]
F[115,x] = F[116,x]*F[15,x]
F[116,x] = F[112,x]+F[117,x]
F[117,x] = F[118,x]
F[118,x] = F[0,x]*F[116,x]*F[15,x]
F[119,x] = F[120,x]*F[83,x]
F[120,x] = F[109,x]+F[121,x]
F[121,x] = F[122,x]
F[122,x] = F[0,x]*F[120,x]*F[15,x]
F[123,x] = F[124,x]
F[124,x] = F[0,x]*F[125,x]*F[126,x]
F[125,x] = F[0,x]+F[41,x]
F[126,x] = F[127,x]
F[127,x] = F[128,x]*F[15,x]
F[128,x] = F[1,x]+F[126,x]
F[129,x] = F[130,x]
F[130,x] = F[0,x]^2*F[131,x]
F[131,x] = F[132,x]+F[15,x]
F[132,x] = F[133,x]+F[134,x]+F[135,x]
F[133,x] = 0
F[134,x] = F[131,x]*F[15,x]
F[135,x] = F[126,x]*F[15,x]
F[136,x] = F[137,x]
F[137,x] = F[0,x]*F[126,x]*F[131,x]*F[138,x]
F[138,x] = F[2,x]+F[42,x]
F[139,x] = F[128,x]*F[131,x]*F[140,x]
F[140,x] = F[141,x]+F[148,x]
F[141,x] = F[109,x]+F[142,x]
F[142,x] = F[143,x]
F[143,x] = F[109,x]*F[144,x]*F[15,x]
F[144,x] = F[145,x]+F[148,x]
F[145,x] = F[0,x]+F[146,x]
F[146,x] = F[147,x]
F[147,x] = F[0,x]*F[145,x]*F[15,x]
F[148,x] = F[12,x]+F[149,x]
F[149,x] = F[150,x]
F[150,x] = F[0,x]*F[148,x]*F[15,x]
F[151,x] = F[152,x]
F[152,x] = F[15,x]*F[153,x]
F[153,x] = F[154,x]+F[174,x]
F[154,x] = F[0,x]*F[155,x]
F[155,x] = F[156,x]
F[156,x] = F[0,x]*F[15,x]*F[157,x]
F[157,x] = F[158,x]+F[172,x]
F[158,x] = 1/F[15,x]*F[159,x]
F[159,x] = F[160,x]
F[160,x] = F[15,x]*F[161,x]
F[161,x] = F[162,x]+F[170,x]
F[162,x] = 1/F[15,x]*F[163,x]
F[163,x] = F[164,x]
F[164,x] = F[12,x]+F[165,x]
F[165,x] = F[166,x]
F[166,x] = F[15,x]*F[167,x]
F[167,x] = F[168,x]+F[21,x]
F[168,x] = F[169,x]
F[169,x] = F[0,x]*F[15,x]*F[167,x]
F[170,x] = F[171,x]
F[171,x] = F[116,x]*F[145,x]*F[15,x]
F[172,x] = F[173,x]
F[173,x] = F[0,x]*F[116,x]*F[15,x]
F[174,x] = F[175,x]
F[175,x] = F[0,x]*F[176,x]
F[176,x] = F[177,x]+F[180,x]
F[177,x] = F[178,x]+F[179,x]
F[178,x] = F[109,x]*F[5,x]
F[179,x] = F[121,x]*F[83,x]
F[180,x] = F[181,x]
F[181,x] = F[120,x]*F[15,x]*F[182,x]
F[182,x] = F[183,x]+F[184,x]
F[183,x] = F[0,x]*F[83,x]
F[184,x] = F[185,x]
F[185,x] = F[0,x]*F[146,x]*F[2,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{151}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{12}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{55}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{12}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right) F_{50}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{9}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)+F_{44}\! \left(x \right)
F_{41}\! \left(x \right) = F_{2}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{48}\! \left(x \right)
F_{47}\! \left(x \right) = F_{13}\! \left(x \right) F_{41}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{30}\! \left(x \right)+F_{36}\! \left(x \right)
F_{50}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{13}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{2}\! \left(x \right) F_{50}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{15}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = -F_{62}\! \left(x \right)+F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{29}\! \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_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{65}\! \left(x \right) = F_{50}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{15}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = \frac{F_{72}\! \left(x \right)}{F_{128}\! \left(x \right) F_{15}\! \left(x \right)}
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = -F_{139}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)
F_{76}\! \left(x \right) = F_{136}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{129}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{128}\! \left(x \right) F_{15}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{123}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{104}\! \left(x \right)+F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{2}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{15}\! \left(x \right) F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{93}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)+F_{89}\! \left(x \right)
F_{88}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{19}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{30}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{0}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{15}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{13}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{51}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{15}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{103}\! \left(x \right)
F_{102}\! \left(x \right) = F_{12}\! \left(x \right) F_{53}\! \left(x \right)
F_{103}\! \left(x \right) = F_{40}\! \left(x \right) F_{50}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{15}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{119}\! \left(x \right)
F_{107}\! \left(x \right) = F_{0}\! \left(x \right) F_{108}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{114}\! \left(x \right)
F_{109}\! \left(x \right) = F_{0}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{15}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{12}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{15}\! \left(x \right)
F_{116}\! \left(x \right) = F_{112}\! \left(x \right)+F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{0}\! \left(x \right) F_{116}\! \left(x \right) F_{15}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{83}\! \left(x \right)
F_{120}\! \left(x \right) = F_{109}\! \left(x \right)+F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)
F_{122}\! \left(x \right) = F_{0}\! \left(x \right) F_{120}\! \left(x \right) F_{15}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{0}\! \left(x \right) F_{125}\! \left(x \right) F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right)+F_{41}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{15}\! \left(x \right)
F_{128}\! \left(x \right) = F_{1}\! \left(x \right)+F_{126}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{15}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{134}\! \left(x \right)+F_{135}\! \left(x \right)
F_{133}\! \left(x \right) = 0
F_{134}\! \left(x \right) = F_{131}\! \left(x \right) F_{15}\! \left(x \right)
F_{135}\! \left(x \right) = F_{126}\! \left(x \right) F_{15}\! \left(x \right)
F_{136}\! \left(x \right) = F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = F_{0}\! \left(x \right) F_{126}\! \left(x \right) F_{131}\! \left(x \right) F_{138}\! \left(x \right)
F_{138}\! \left(x \right) = F_{2}\! \left(x \right)+F_{42}\! \left(x \right)
F_{139}\! \left(x \right) = F_{128}\! \left(x \right) F_{131}\! \left(x \right) F_{140}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{148}\! \left(x \right)
F_{141}\! \left(x \right) = F_{109}\! \left(x \right)+F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{109}\! \left(x \right) F_{144}\! \left(x \right) F_{15}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{148}\! \left(x \right)
F_{145}\! \left(x \right) = F_{0}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{0}\! \left(x \right) F_{145}\! \left(x \right) F_{15}\! \left(x \right)
F_{148}\! \left(x \right) = F_{12}\! \left(x \right)+F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{0}\! \left(x \right) F_{148}\! \left(x \right) F_{15}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{15}\! \left(x \right) F_{153}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)+F_{174}\! \left(x \right)
F_{154}\! \left(x \right) = F_{0}\! \left(x \right) F_{155}\! \left(x \right)
F_{155}\! \left(x \right) = F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{157}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{172}\! \left(x \right)
F_{158}\! \left(x \right) = \frac{F_{159}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{159}\! \left(x \right) = F_{160}\! \left(x \right)
F_{160}\! \left(x \right) = F_{15}\! \left(x \right) F_{161}\! \left(x \right)
F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{170}\! \left(x \right)
F_{162}\! \left(x \right) = \frac{F_{163}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{12}\! \left(x \right)+F_{165}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{15}\! \left(x \right) F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right)+F_{21}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)
F_{169}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{167}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{116}\! \left(x \right) F_{145}\! \left(x \right) F_{15}\! \left(x \right)
F_{172}\! \left(x \right) = F_{173}\! \left(x \right)
F_{173}\! \left(x \right) = F_{0}\! \left(x \right) F_{116}\! \left(x \right) F_{15}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right)
F_{175}\! \left(x \right) = F_{0}\! \left(x \right) F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{180}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{179}\! \left(x \right)
F_{178}\! \left(x \right) = F_{109}\! \left(x \right) F_{5}\! \left(x \right)
F_{179}\! \left(x \right) = F_{121}\! \left(x \right) F_{83}\! \left(x \right)
F_{180}\! \left(x \right) = F_{181}\! \left(x \right)
F_{181}\! \left(x \right) = F_{120}\! \left(x \right) F_{15}\! \left(x \right) F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{183}\! \left(x \right)+F_{184}\! \left(x \right)
F_{183}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)
F_{184}\! \left(x \right) = F_{185}\! \left(x \right)
F_{185}\! \left(x \right) = F_{0}\! \left(x \right) F_{146}\! \left(x \right) F_{2}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_15(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_151(x))
Eq(F_11(x), F_12(x) + F_16(x))
Eq(F_12(x), -F_0(x) + F_13(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_2(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_12(x)*F_4(x))
Eq(F_20(x), F_0(x)*F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_15(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x)/F_15(x))
Eq(F_25(x), F_12(x))
Eq(F_26(x), F_27(x) - F_55(x))
Eq(F_27(x), F_28(x)/F_15(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), -F_12(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_34(x))
Eq(F_31(x), F_32(x)/F_15(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x) - F_2(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_13(x)*F_2(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_15(x)*F_38(x)*F_50(x))
Eq(F_38(x), F_39(x) + F_9(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_41(x) + F_44(x))
Eq(F_41(x), F_2(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)*F_38(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_15(x)*F_46(x))
Eq(F_46(x), F_47(x) + F_48(x))
Eq(F_47(x), F_13(x)*F_41(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_30(x) + F_36(x))
Eq(F_50(x), F_0(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_0(x)*F_15(x)*F_53(x))
Eq(F_53(x), F_13(x) + F_54(x))
Eq(F_54(x), F_2(x)*F_50(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_15(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_15(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_60(x) - F_62(x))
Eq(F_60(x), F_61(x)/F_15(x))
Eq(F_61(x), F_29(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) + F_65(x))
Eq(F_64(x), F_12(x)*F_13(x))
Eq(F_65(x), F_50(x)*F_66(x))
Eq(F_66(x), -F_12(x) + F_67(x))
Eq(F_67(x), F_68(x))
Eq(F_68(x), F_15(x)*F_69(x))
Eq(F_69(x), F_70(x)/F_15(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_72(x)/(F_128(x)*F_15(x)))
Eq(F_72(x), F_73(x))
Eq(F_73(x), -F_139(x) + F_74(x))
Eq(F_74(x), F_75(x)/(F_0(x)*F_15(x)))
Eq(F_75(x), F_76(x))
Eq(F_76(x), F_136(x) + F_77(x))
Eq(F_77(x), -F_129(x) + F_78(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_128(x)*F_15(x)*F_80(x))
Eq(F_80(x), F_123(x) + F_81(x))
Eq(F_81(x), F_104(x) + F_82(x))
Eq(F_82(x), F_0(x) + F_83(x))
Eq(F_83(x), F_2(x) + F_84(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), F_15(x)*F_86(x))
Eq(F_86(x), F_87(x) + F_93(x))
Eq(F_87(x), F_88(x) + F_89(x))
Eq(F_88(x), F_0(x)*F_2(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_19(x) + F_92(x))
Eq(F_92(x), F_0(x)*F_30(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_0(x)*F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_15(x)*F_97(x))
Eq(F_97(x), F_13(x) + F_98(x))
Eq(F_98(x), F_51(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_15(x))
Eq(F_101(x), F_102(x) + F_103(x))
Eq(F_102(x), F_12(x)*F_53(x))
Eq(F_103(x), F_40(x)*F_50(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_15(x))
Eq(F_106(x), F_107(x) + F_119(x))
Eq(F_107(x), F_0(x)*F_108(x))
Eq(F_108(x), F_109(x) + F_114(x))
Eq(F_109(x), F_0(x) + F_110(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_15(x))
Eq(F_112(x), F_113(x)/F_15(x))
Eq(F_113(x), F_12(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_116(x)*F_15(x))
Eq(F_116(x), F_112(x) + F_117(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_0(x)*F_116(x)*F_15(x))
Eq(F_119(x), F_120(x)*F_83(x))
Eq(F_120(x), F_109(x) + F_121(x))
Eq(F_121(x), F_122(x))
Eq(F_122(x), F_0(x)*F_120(x)*F_15(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_0(x)*F_125(x)*F_126(x))
Eq(F_125(x), F_0(x) + F_41(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_128(x)*F_15(x))
Eq(F_128(x), F_1(x) + F_126(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_0(x)**2*F_131(x))
Eq(F_131(x), F_132(x) + F_15(x))
Eq(F_132(x), F_133(x) + F_134(x) + F_135(x))
Eq(F_133(x), 0)
Eq(F_134(x), F_131(x)*F_15(x))
Eq(F_135(x), F_126(x)*F_15(x))
Eq(F_136(x), F_137(x))
Eq(F_137(x), F_0(x)*F_126(x)*F_131(x)*F_138(x))
Eq(F_138(x), F_2(x) + F_42(x))
Eq(F_139(x), F_128(x)*F_131(x)*F_140(x))
Eq(F_140(x), F_141(x) + F_148(x))
Eq(F_141(x), F_109(x) + F_142(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_109(x)*F_144(x)*F_15(x))
Eq(F_144(x), F_145(x) + F_148(x))
Eq(F_145(x), F_0(x) + F_146(x))
Eq(F_146(x), F_147(x))
Eq(F_147(x), F_0(x)*F_145(x)*F_15(x))
Eq(F_148(x), F_12(x) + F_149(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_0(x)*F_148(x)*F_15(x))
Eq(F_151(x), F_152(x))
Eq(F_152(x), F_15(x)*F_153(x))
Eq(F_153(x), F_154(x) + F_174(x))
Eq(F_154(x), F_0(x)*F_155(x))
Eq(F_155(x), F_156(x))
Eq(F_156(x), F_0(x)*F_15(x)*F_157(x))
Eq(F_157(x), F_158(x) + F_172(x))
Eq(F_158(x), F_159(x)/F_15(x))
Eq(F_159(x), F_160(x))
Eq(F_160(x), F_15(x)*F_161(x))
Eq(F_161(x), F_162(x) + F_170(x))
Eq(F_162(x), F_163(x)/F_15(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_12(x) + F_165(x))
Eq(F_165(x), F_166(x))
Eq(F_166(x), F_15(x)*F_167(x))
Eq(F_167(x), F_168(x) + F_21(x))
Eq(F_168(x), F_169(x))
Eq(F_169(x), F_0(x)*F_15(x)*F_167(x))
Eq(F_170(x), F_171(x))
Eq(F_171(x), F_116(x)*F_145(x)*F_15(x))
Eq(F_172(x), F_173(x))
Eq(F_173(x), F_0(x)*F_116(x)*F_15(x))
Eq(F_174(x), F_175(x))
Eq(F_175(x), F_0(x)*F_176(x))
Eq(F_176(x), F_177(x) + F_180(x))
Eq(F_177(x), F_178(x) + F_179(x))
Eq(F_178(x), F_109(x)*F_5(x))
Eq(F_179(x), F_121(x)*F_83(x))
Eq(F_180(x), F_181(x))
Eq(F_181(x), F_120(x)*F_15(x)*F_182(x))
Eq(F_182(x), F_183(x) + F_184(x))
Eq(F_183(x), F_0(x)*F_83(x))
Eq(F_184(x), F_185(x))
Eq(F_185(x), F_0(x)*F_146(x)*F_2(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [2, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 3], [1, 1], [2, 1], [2, 3]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [2, 3], [2, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25190/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[15,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[96,x]
F[11,x] = F[12,x]+F[16,x]
F[12,x] = -F[0,x]+F[13,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[2,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[12,x]*F[4,x]
F[20,x] = F[0,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[15,x]*F[23,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = 1/F[15,x]*F[25,x]
F[25,x] = F[12,x]
F[26,x] = -F[58,x]+F[27,x]
F[27,x] = 1/F[15,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = -F[12,x]+F[30,x]
F[30,x] = -F[34,x]+F[31,x]
F[31,x] = 1/F[15,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = -F[2,x]+F[12,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[13,x]*F[2,x]
F[36,x] = F[37,x]
F[37,x] = F[15,x]*F[38,x]*F[53,x]
F[38,x] = F[39,x]+F[50,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]*F[46,x]
F[41,x] = F[0,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[15,x]*F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[12,x]
F[46,x] = F[47,x]+F[50,x]
F[47,x] = F[0,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[0,x]*F[15,x]*F[47,x]
F[50,x] = F[12,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[0,x]*F[15,x]*F[50,x]
F[53,x] = F[0,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[0,x]*F[15,x]*F[56,x]
F[56,x] = F[13,x]+F[57,x]
F[57,x] = F[2,x]*F[53,x]
F[58,x] = F[59,x]
F[59,x] = F[15,x]*F[60,x]
F[60,x] = 1/F[15,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = -F[65,x]+F[63,x]
F[63,x] = 1/F[15,x]*F[64,x]
F[64,x] = F[29,x]
F[65,x] = F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[12,x]*F[13,x]
F[68,x] = F[53,x]*F[69,x]
F[69,x] = -F[12,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[15,x]*F[72,x]
F[72,x] = 1/F[15,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[43,x]
F[76,x] = -F[38,x]+F[77,x]
F[77,x] = 1/F[0,x]/F[15,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[15,x]*F[80,x]
F[80,x] = F[81,x]+F[87,x]
F[81,x] = F[0,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[15,x]*F[84,x]
F[84,x] = F[44,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]*F[15,x]*F[84,x]
F[87,x] = F[88,x]*F[93,x]
F[88,x] = F[2,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = F[9,x]+F[92,x]
F[92,x] = F[0,x]*F[12,x]
F[93,x] = F[41,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[0,x]*F[15,x]*F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[15,x]*F[98,x]
F[98,x] = F[119,x]+F[99,x]
F[99,x] = F[0,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[0,x]*F[102,x]*F[15,x]
F[102,x] = F[103,x]+F[117,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[15,x]
F[106,x] = F[107,x]+F[115,x]
F[107,x] = 1/F[15,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]+F[12,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[15,x]
F[112,x] = F[113,x]+F[21,x]
F[113,x] = F[114,x]
F[114,x] = F[0,x]*F[112,x]*F[15,x]
F[115,x] = F[116,x]
F[116,x] = F[15,x]*F[47,x]*F[84,x]
F[117,x] = F[118,x]
F[118,x] = F[0,x]*F[15,x]*F[84,x]
F[119,x] = F[120,x]
F[120,x] = F[0,x]*F[121,x]
F[121,x] = F[122,x]+F[125,x]
F[122,x] = F[123,x]+F[124,x]
F[123,x] = F[41,x]*F[5,x]
F[124,x] = F[88,x]*F[94,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[15,x]*F[93,x]
F[127,x] = F[128,x]+F[129,x]
F[128,x] = F[0,x]*F[88,x]
F[129,x] = F[130,x]
F[130,x] = F[0,x]*F[2,x]*F[48,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{96}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{12}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{12}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right) F_{53}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{50}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right) F_{46}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{12}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = F_{0}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{13}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{15}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{64}\! \left(x \right) = F_{29}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{68}\! \left(x \right) = F_{53}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{15}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{43}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{15}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{87}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{44}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right) F_{93}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{9}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right)
F_{93}\! \left(x \right) = F_{41}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{119}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{0}\! \left(x \right) F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{0}\! \left(x \right) F_{102}\! \left(x \right) F_{15}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{117}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{15}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{115}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{12}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{15}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{21}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{112}\! \left(x \right) F_{15}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right) F_{84}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{125}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{124}\! \left(x \right)
F_{123}\! \left(x \right) = F_{41}\! \left(x \right) F_{5}\! \left(x \right)
F_{124}\! \left(x \right) = F_{88}\! \left(x \right) F_{94}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{129}\! \left(x \right)
F_{128}\! \left(x \right) = F_{0}\! \left(x \right) F_{88}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{48}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_15(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_96(x))
Eq(F_11(x), F_12(x) + F_16(x))
Eq(F_12(x), -F_0(x) + F_13(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_2(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_12(x)*F_4(x))
Eq(F_20(x), F_0(x)*F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_15(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x)/F_15(x))
Eq(F_25(x), F_12(x))
Eq(F_26(x), F_27(x) - F_58(x))
Eq(F_27(x), F_28(x)/F_15(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), -F_12(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_34(x))
Eq(F_31(x), F_32(x)/F_15(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x) - F_2(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_13(x)*F_2(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_15(x)*F_38(x)*F_53(x))
Eq(F_38(x), F_39(x) + F_50(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x)*F_46(x))
Eq(F_41(x), F_0(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)*F_44(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_12(x))
Eq(F_46(x), F_47(x) + F_50(x))
Eq(F_47(x), F_0(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_0(x)*F_15(x)*F_47(x))
Eq(F_50(x), F_12(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_0(x)*F_15(x)*F_50(x))
Eq(F_53(x), F_0(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_0(x)*F_15(x)*F_56(x))
Eq(F_56(x), F_13(x) + F_57(x))
Eq(F_57(x), F_2(x)*F_53(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_15(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_15(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) - F_65(x))
Eq(F_63(x), F_64(x)/F_15(x))
Eq(F_64(x), F_29(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_12(x)*F_13(x))
Eq(F_68(x), F_53(x)*F_69(x))
Eq(F_69(x), -F_12(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_15(x)*F_72(x))
Eq(F_72(x), F_73(x)/F_15(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_43(x))
Eq(F_76(x), -F_38(x) + F_77(x))
Eq(F_77(x), F_78(x)/(F_0(x)*F_15(x)))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_15(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_87(x))
Eq(F_81(x), F_0(x)*F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_15(x)*F_84(x))
Eq(F_84(x), F_44(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)*F_15(x)*F_84(x))
Eq(F_87(x), F_88(x)*F_93(x))
Eq(F_88(x), F_2(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_9(x) + F_92(x))
Eq(F_92(x), F_0(x)*F_12(x))
Eq(F_93(x), F_41(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_0(x)*F_15(x)*F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_15(x)*F_98(x))
Eq(F_98(x), F_119(x) + F_99(x))
Eq(F_99(x), F_0(x)*F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_0(x)*F_102(x)*F_15(x))
Eq(F_102(x), F_103(x) + F_117(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_15(x))
Eq(F_106(x), F_107(x) + F_115(x))
Eq(F_107(x), F_108(x)/F_15(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) + F_12(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_15(x))
Eq(F_112(x), F_113(x) + F_21(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_0(x)*F_112(x)*F_15(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_15(x)*F_47(x)*F_84(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_0(x)*F_15(x)*F_84(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_0(x)*F_121(x))
Eq(F_121(x), F_122(x) + F_125(x))
Eq(F_122(x), F_123(x) + F_124(x))
Eq(F_123(x), F_41(x)*F_5(x))
Eq(F_124(x), F_88(x)*F_94(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_15(x)*F_93(x))
Eq(F_127(x), F_128(x) + F_129(x))
Eq(F_128(x), F_0(x)*F_88(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_0(x)*F_2(x)*F_48(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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 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{"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 3], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[1, 3], [2, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[1, 3], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 3], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [2, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 3], [1, 1], [2, 1], [2, 3]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [2, 3], [2, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25692/
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[17,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[17,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[97,x]
F[11,x] = F[12,x]+F[18,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = -F[2,x]+F[14,x]
F[14,x] = -F[0,x]+F[15,x]
F[15,x] = 1/F[17,x]*F[16,x]
F[16,x] = F[2,x]
F[17,x] = x
F[18,x] = F[19,x]
F[19,x] = F[17,x]*F[20,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[12,x]*F[4,x]
F[22,x] = F[0,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[17,x]*F[25,x]
F[25,x] = F[26,x]+F[28,x]
F[26,x] = 1/F[17,x]*F[27,x]
F[27,x] = F[12,x]
F[28,x] = -F[59,x]+F[29,x]
F[29,x] = 1/F[17,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[12,x]+F[32,x]
F[32,x] = -F[35,x]+F[33,x]
F[33,x] = 1/F[17,x]*F[34,x]
F[34,x] = F[13,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[15,x]*F[2,x]
F[37,x] = F[38,x]
F[38,x] = F[17,x]*F[39,x]*F[54,x]
F[39,x] = F[40,x]+F[51,x]
F[40,x] = F[41,x]
F[41,x] = F[17,x]*F[42,x]*F[47,x]
F[42,x] = F[0,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[17,x]*F[45,x]
F[45,x] = 1/F[17,x]*F[46,x]
F[46,x] = F[12,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[0,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[0,x]*F[17,x]*F[48,x]
F[51,x] = F[12,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[0,x]*F[17,x]*F[51,x]
F[54,x] = F[0,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[0,x]*F[17,x]*F[57,x]
F[57,x] = F[15,x]+F[58,x]
F[58,x] = F[2,x]*F[54,x]
F[59,x] = F[60,x]
F[60,x] = F[17,x]*F[61,x]
F[61,x] = 1/F[17,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[66,x]+F[64,x]
F[64,x] = 1/F[17,x]*F[65,x]
F[65,x] = F[31,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[12,x]*F[15,x]
F[69,x] = F[54,x]*F[70,x]
F[70,x] = -F[12,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[17,x]*F[73,x]
F[73,x] = 1/F[17,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[44,x]
F[77,x] = -F[39,x]+F[78,x]
F[78,x] = 1/F[0,x]/F[17,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[17,x]*F[81,x]
F[81,x] = F[82,x]+F[88,x]
F[82,x] = F[0,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[17,x]*F[85,x]
F[85,x] = F[45,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[0,x]*F[17,x]*F[85,x]
F[88,x] = F[89,x]*F[94,x]
F[89,x] = F[2,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[17,x]*F[92,x]
F[92,x] = F[9,x]+F[93,x]
F[93,x] = F[0,x]*F[12,x]
F[94,x] = F[42,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[0,x]*F[17,x]*F[94,x]
F[97,x] = F[128,x]+F[98,x]
F[98,x] = -F[89,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[17,x]
F[101,x] = F[102,x]+F[118,x]
F[102,x] = F[0,x]*F[103,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[42,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[17,x]
F[107,x] = F[108,x]+F[116,x]
F[108,x] = 1/F[17,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]+F[12,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[17,x]
F[113,x] = F[114,x]+F[23,x]
F[114,x] = F[115,x]
F[115,x] = F[0,x]*F[113,x]*F[17,x]
F[116,x] = F[117,x]
F[117,x] = F[17,x]*F[48,x]*F[85,x]
F[118,x] = F[119,x]+F[122,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[42,x]*F[5,x]
F[121,x] = F[89,x]*F[95,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[17,x]*F[94,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[0,x]*F[89,x]
F[126,x] = F[127,x]
F[127,x] = F[0,x]*F[2,x]*F[49,x]
F[128,x] = F[129,x]
F[129,x] = F[15,x]*F[17,x]*F[98,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_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{97}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{18}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \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) = \frac{F_{27}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{12}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{13}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{17}\! \left(x \right) F_{39}\! \left(x \right) F_{54}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{51}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{42}\! \left(x \right) F_{47}\! \left(x \right)
F_{42}\! \left(x \right) = F_{0}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{17}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{12}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = F_{0}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{15}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{2}\! \left(x \right) F_{54}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{17}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{31}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{69}\! \left(x \right) = F_{54}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{17}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{44}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{88}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{17}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{45}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right) F_{94}\! \left(x \right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{17}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{9}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right)
F_{94}\! \left(x \right) = F_{42}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{97}\! \left(x \right) = F_{128}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{17}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{118}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{42}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{17}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{116}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{12}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{17}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right) F_{17}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{17}\! \left(x \right) F_{48}\! \left(x \right) F_{85}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{122}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{42}\! \left(x \right) F_{5}\! \left(x \right)
F_{121}\! \left(x \right) = F_{89}\! \left(x \right) F_{95}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right) F_{89}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{49}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right) F_{98}\! \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_17(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_17(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_97(x))
Eq(F_11(x), F_12(x) + F_18(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x) - F_2(x))
Eq(F_14(x), -F_0(x) + F_15(x))
Eq(F_15(x), F_16(x)/F_17(x))
Eq(F_16(x), F_2(x))
Eq(F_17(x), x)
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_17(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_12(x)*F_4(x))
Eq(F_22(x), F_0(x)*F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_17(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_28(x))
Eq(F_26(x), F_27(x)/F_17(x))
Eq(F_27(x), F_12(x))
Eq(F_28(x), F_29(x) - F_59(x))
Eq(F_29(x), F_30(x)/F_17(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_12(x) + F_32(x))
Eq(F_32(x), F_33(x) - F_35(x))
Eq(F_33(x), F_34(x)/F_17(x))
Eq(F_34(x), F_13(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_15(x)*F_2(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_17(x)*F_39(x)*F_54(x))
Eq(F_39(x), F_40(x) + F_51(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_17(x)*F_42(x)*F_47(x))
Eq(F_42(x), F_0(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_17(x)*F_45(x))
Eq(F_45(x), F_46(x)/F_17(x))
Eq(F_46(x), F_12(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_0(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_0(x)*F_17(x)*F_48(x))
Eq(F_51(x), F_12(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_0(x)*F_17(x)*F_51(x))
Eq(F_54(x), F_0(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_0(x)*F_17(x)*F_57(x))
Eq(F_57(x), F_15(x) + F_58(x))
Eq(F_58(x), F_2(x)*F_54(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_17(x)*F_61(x))
Eq(F_61(x), F_62(x)/F_17(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_66(x))
Eq(F_64(x), F_65(x)/F_17(x))
Eq(F_65(x), F_31(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_12(x)*F_15(x))
Eq(F_69(x), F_54(x)*F_70(x))
Eq(F_70(x), -F_12(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_17(x)*F_73(x))
Eq(F_73(x), F_74(x)/F_17(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_44(x))
Eq(F_77(x), -F_39(x) + F_78(x))
Eq(F_78(x), F_79(x)/(F_0(x)*F_17(x)))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_17(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_88(x))
Eq(F_82(x), F_0(x)*F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_17(x)*F_85(x))
Eq(F_85(x), F_45(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_0(x)*F_17(x)*F_85(x))
Eq(F_88(x), F_89(x)*F_94(x))
Eq(F_89(x), F_2(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_17(x)*F_92(x))
Eq(F_92(x), F_9(x) + F_93(x))
Eq(F_93(x), F_0(x)*F_12(x))
Eq(F_94(x), F_42(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_0(x)*F_17(x)*F_94(x))
Eq(F_97(x), F_128(x) + F_98(x))
Eq(F_98(x), -F_89(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_17(x))
Eq(F_101(x), F_102(x) + F_118(x))
Eq(F_102(x), F_0(x)*F_103(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_42(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_17(x))
Eq(F_107(x), F_108(x) + F_116(x))
Eq(F_108(x), F_109(x)/F_17(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) + F_12(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_17(x))
Eq(F_113(x), F_114(x) + F_23(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_0(x)*F_113(x)*F_17(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_17(x)*F_48(x)*F_85(x))
Eq(F_118(x), F_119(x) + F_122(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_42(x)*F_5(x))
Eq(F_121(x), F_89(x)*F_95(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_17(x)*F_94(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_0(x)*F_89(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_0(x)*F_2(x)*F_49(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_15(x)*F_17(x)*F_98(x))
Pack JSON:
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Specification JSON:
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1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25787/
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[17,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[17,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[97,x]
F[11,x] = F[12,x]+F[18,x]
F[12,x] = F[13,x]+F[2,x]
F[13,x] = -F[2,x]+F[14,x]
F[14,x] = -F[0,x]+F[15,x]
F[15,x] = 1/F[17,x]*F[16,x]
F[16,x] = F[2,x]
F[17,x] = x
F[18,x] = F[19,x]
F[19,x] = F[17,x]*F[20,x]
F[20,x] = F[21,x]+F[22,x]
F[21,x] = F[12,x]*F[4,x]
F[22,x] = F[0,x]*F[23,x]
F[23,x] = F[24,x]
F[24,x] = F[17,x]*F[25,x]
F[25,x] = F[26,x]+F[28,x]
F[26,x] = 1/F[17,x]*F[27,x]
F[27,x] = F[12,x]
F[28,x] = -F[59,x]+F[29,x]
F[29,x] = 1/F[17,x]*F[30,x]
F[30,x] = F[31,x]
F[31,x] = -F[12,x]+F[32,x]
F[32,x] = -F[35,x]+F[33,x]
F[33,x] = 1/F[17,x]*F[34,x]
F[34,x] = F[13,x]
F[35,x] = F[36,x]+F[37,x]
F[36,x] = F[15,x]*F[2,x]
F[37,x] = F[38,x]
F[38,x] = F[17,x]*F[39,x]*F[54,x]
F[39,x] = F[40,x]+F[51,x]
F[40,x] = F[41,x]
F[41,x] = F[17,x]*F[42,x]*F[47,x]
F[42,x] = F[0,x]+F[43,x]
F[43,x] = F[44,x]
F[44,x] = F[17,x]*F[45,x]
F[45,x] = 1/F[17,x]*F[46,x]
F[46,x] = F[12,x]
F[47,x] = F[48,x]+F[51,x]
F[48,x] = F[0,x]+F[49,x]
F[49,x] = F[50,x]
F[50,x] = F[0,x]*F[17,x]*F[48,x]
F[51,x] = F[12,x]+F[52,x]
F[52,x] = F[53,x]
F[53,x] = F[0,x]*F[17,x]*F[51,x]
F[54,x] = F[0,x]+F[55,x]
F[55,x] = F[56,x]
F[56,x] = F[0,x]*F[17,x]*F[57,x]
F[57,x] = F[15,x]+F[58,x]
F[58,x] = F[2,x]*F[54,x]
F[59,x] = F[60,x]
F[60,x] = F[17,x]*F[61,x]
F[61,x] = 1/F[17,x]*F[62,x]
F[62,x] = F[63,x]
F[63,x] = -F[66,x]+F[64,x]
F[64,x] = 1/F[17,x]*F[65,x]
F[65,x] = F[31,x]
F[66,x] = F[67,x]
F[67,x] = F[68,x]+F[69,x]
F[68,x] = F[12,x]*F[15,x]
F[69,x] = F[54,x]*F[70,x]
F[70,x] = -F[12,x]+F[71,x]
F[71,x] = F[72,x]
F[72,x] = F[17,x]*F[73,x]
F[73,x] = 1/F[17,x]*F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[76,x]+F[77,x]
F[76,x] = F[44,x]
F[77,x] = -F[39,x]+F[78,x]
F[78,x] = 1/F[0,x]/F[17,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = F[17,x]*F[81,x]
F[81,x] = F[82,x]+F[88,x]
F[82,x] = F[0,x]*F[83,x]
F[83,x] = F[84,x]
F[84,x] = F[17,x]*F[85,x]
F[85,x] = F[45,x]+F[86,x]
F[86,x] = F[87,x]
F[87,x] = F[0,x]*F[17,x]*F[85,x]
F[88,x] = F[89,x]*F[94,x]
F[89,x] = F[2,x]+F[90,x]
F[90,x] = F[91,x]
F[91,x] = F[17,x]*F[92,x]
F[92,x] = F[9,x]+F[93,x]
F[93,x] = F[0,x]*F[12,x]
F[94,x] = F[42,x]+F[95,x]
F[95,x] = F[96,x]
F[96,x] = F[0,x]*F[17,x]*F[94,x]
F[97,x] = F[128,x]+F[98,x]
F[98,x] = -F[89,x]+F[99,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[17,x]
F[101,x] = F[102,x]+F[118,x]
F[102,x] = F[0,x]*F[103,x]
F[103,x] = F[104,x]+F[105,x]
F[104,x] = F[42,x]+F[83,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[17,x]
F[107,x] = F[108,x]+F[116,x]
F[108,x] = 1/F[17,x]*F[109,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]+F[12,x]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[17,x]
F[113,x] = F[114,x]+F[23,x]
F[114,x] = F[115,x]
F[115,x] = F[0,x]*F[113,x]*F[17,x]
F[116,x] = F[117,x]
F[117,x] = F[17,x]*F[48,x]*F[85,x]
F[118,x] = F[119,x]+F[122,x]
F[119,x] = F[120,x]+F[121,x]
F[120,x] = F[42,x]*F[5,x]
F[121,x] = F[89,x]*F[95,x]
F[122,x] = F[123,x]
F[123,x] = F[124,x]*F[17,x]*F[94,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[0,x]*F[89,x]
F[126,x] = F[127,x]
F[127,x] = F[0,x]*F[2,x]*F[49,x]
F[128,x] = F[129,x]
F[129,x] = F[15,x]*F[17,x]*F[98,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_{17}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{17}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{97}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{18}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{2}\! \left(x \right)
F_{13}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{14}\! \left(x \right)
F_{14}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = \frac{F_{16}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{16}\! \left(x \right) = F_{2}\! \left(x \right)
F_{17}\! \left(x \right) = x
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{17}\! \left(x \right) F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{22}\! \left(x \right)
F_{21}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{22}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{17}\! \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) = \frac{F_{27}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{27}\! \left(x \right) = F_{12}\! \left(x \right)
F_{28}\! \left(x \right) = -F_{59}\! \left(x \right)+F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = \frac{F_{30}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{30}\! \left(x \right) = F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = \frac{F_{34}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{34}\! \left(x \right) = F_{13}\! \left(x \right)
F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{37}\! \left(x \right)
F_{36}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{17}\! \left(x \right) F_{39}\! \left(x \right) F_{54}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{51}\! \left(x \right)
F_{40}\! \left(x \right) = F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{17}\! \left(x \right) F_{42}\! \left(x \right) F_{47}\! \left(x \right)
F_{42}\! \left(x \right) = F_{0}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{17}\! \left(x \right) F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = \frac{F_{46}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{46}\! \left(x \right) = F_{12}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)+F_{51}\! \left(x \right)
F_{48}\! \left(x \right) = F_{0}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{48}\! \left(x \right)
F_{51}\! \left(x \right) = F_{12}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{51}\! \left(x \right)
F_{54}\! \left(x \right) = F_{0}\! \left(x \right)+F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{15}\! \left(x \right)+F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{2}\! \left(x \right) F_{54}\! \left(x \right)
F_{59}\! \left(x \right) = F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = F_{17}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = \frac{F_{62}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{62}\! \left(x \right) = F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{65}\! \left(x \right) = F_{31}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{69}\! \left(x \right)
F_{68}\! \left(x \right) = F_{12}\! \left(x \right) F_{15}\! \left(x \right)
F_{69}\! \left(x \right) = F_{54}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{17}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = \frac{F_{74}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{77}\! \left(x \right)
F_{76}\! \left(x \right) = F_{44}\! \left(x \right)
F_{77}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{0}\! \left(x \right) F_{17}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{17}\! \left(x \right) F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{88}\! \left(x \right)
F_{82}\! \left(x \right) = F_{0}\! \left(x \right) F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{17}\! \left(x \right) F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{45}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{85}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right) F_{94}\! \left(x \right)
F_{89}\! \left(x \right) = F_{2}\! \left(x \right)+F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{17}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{9}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right)
F_{94}\! \left(x \right) = F_{42}\! \left(x \right)+F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{0}\! \left(x \right) F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{97}\! \left(x \right) = F_{128}\! \left(x \right)+F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{17}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{118}\! \left(x \right)
F_{102}\! \left(x \right) = F_{0}\! \left(x \right) F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)+F_{105}\! \left(x \right)
F_{104}\! \left(x \right) = F_{42}\! \left(x \right)+F_{83}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{17}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{116}\! \left(x \right)
F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{17}\! \left(x \right)}
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{12}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{17}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{23}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right) F_{17}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)
F_{117}\! \left(x \right) = F_{17}\! \left(x \right) F_{48}\! \left(x \right) F_{85}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{122}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{121}\! \left(x \right)
F_{120}\! \left(x \right) = F_{42}\! \left(x \right) F_{5}\! \left(x \right)
F_{121}\! \left(x \right) = F_{89}\! \left(x \right) F_{95}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{17}\! \left(x \right) F_{94}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{0}\! \left(x \right) F_{89}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{49}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right) F_{98}\! \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_17(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_17(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_97(x))
Eq(F_11(x), F_12(x) + F_18(x))
Eq(F_12(x), F_13(x) + F_2(x))
Eq(F_13(x), F_14(x) - F_2(x))
Eq(F_14(x), -F_0(x) + F_15(x))
Eq(F_15(x), F_16(x)/F_17(x))
Eq(F_16(x), F_2(x))
Eq(F_17(x), x)
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_17(x)*F_20(x))
Eq(F_20(x), F_21(x) + F_22(x))
Eq(F_21(x), F_12(x)*F_4(x))
Eq(F_22(x), F_0(x)*F_23(x))
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_17(x)*F_25(x))
Eq(F_25(x), F_26(x) + F_28(x))
Eq(F_26(x), F_27(x)/F_17(x))
Eq(F_27(x), F_12(x))
Eq(F_28(x), F_29(x) - F_59(x))
Eq(F_29(x), F_30(x)/F_17(x))
Eq(F_30(x), F_31(x))
Eq(F_31(x), -F_12(x) + F_32(x))
Eq(F_32(x), F_33(x) - F_35(x))
Eq(F_33(x), F_34(x)/F_17(x))
Eq(F_34(x), F_13(x))
Eq(F_35(x), F_36(x) + F_37(x))
Eq(F_36(x), F_15(x)*F_2(x))
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_17(x)*F_39(x)*F_54(x))
Eq(F_39(x), F_40(x) + F_51(x))
Eq(F_40(x), F_41(x))
Eq(F_41(x), F_17(x)*F_42(x)*F_47(x))
Eq(F_42(x), F_0(x) + F_43(x))
Eq(F_43(x), F_44(x))
Eq(F_44(x), F_17(x)*F_45(x))
Eq(F_45(x), F_46(x)/F_17(x))
Eq(F_46(x), F_12(x))
Eq(F_47(x), F_48(x) + F_51(x))
Eq(F_48(x), F_0(x) + F_49(x))
Eq(F_49(x), F_50(x))
Eq(F_50(x), F_0(x)*F_17(x)*F_48(x))
Eq(F_51(x), F_12(x) + F_52(x))
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_0(x)*F_17(x)*F_51(x))
Eq(F_54(x), F_0(x) + F_55(x))
Eq(F_55(x), F_56(x))
Eq(F_56(x), F_0(x)*F_17(x)*F_57(x))
Eq(F_57(x), F_15(x) + F_58(x))
Eq(F_58(x), F_2(x)*F_54(x))
Eq(F_59(x), F_60(x))
Eq(F_60(x), F_17(x)*F_61(x))
Eq(F_61(x), F_62(x)/F_17(x))
Eq(F_62(x), F_63(x))
Eq(F_63(x), F_64(x) - F_66(x))
Eq(F_64(x), F_65(x)/F_17(x))
Eq(F_65(x), F_31(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_68(x) + F_69(x))
Eq(F_68(x), F_12(x)*F_15(x))
Eq(F_69(x), F_54(x)*F_70(x))
Eq(F_70(x), -F_12(x) + F_71(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_17(x)*F_73(x))
Eq(F_73(x), F_74(x)/F_17(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_76(x) + F_77(x))
Eq(F_76(x), F_44(x))
Eq(F_77(x), -F_39(x) + F_78(x))
Eq(F_78(x), F_79(x)/(F_0(x)*F_17(x)))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_17(x)*F_81(x))
Eq(F_81(x), F_82(x) + F_88(x))
Eq(F_82(x), F_0(x)*F_83(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_17(x)*F_85(x))
Eq(F_85(x), F_45(x) + F_86(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_0(x)*F_17(x)*F_85(x))
Eq(F_88(x), F_89(x)*F_94(x))
Eq(F_89(x), F_2(x) + F_90(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), F_17(x)*F_92(x))
Eq(F_92(x), F_9(x) + F_93(x))
Eq(F_93(x), F_0(x)*F_12(x))
Eq(F_94(x), F_42(x) + F_95(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_0(x)*F_17(x)*F_94(x))
Eq(F_97(x), F_128(x) + F_98(x))
Eq(F_98(x), -F_89(x) + F_99(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_17(x))
Eq(F_101(x), F_102(x) + F_118(x))
Eq(F_102(x), F_0(x)*F_103(x))
Eq(F_103(x), F_104(x) + F_105(x))
Eq(F_104(x), F_42(x) + F_83(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_17(x))
Eq(F_107(x), F_108(x) + F_116(x))
Eq(F_108(x), F_109(x)/F_17(x))
Eq(F_109(x), F_110(x))
Eq(F_110(x), F_111(x) + F_12(x))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_17(x))
Eq(F_113(x), F_114(x) + F_23(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_0(x)*F_113(x)*F_17(x))
Eq(F_116(x), F_117(x))
Eq(F_117(x), F_17(x)*F_48(x)*F_85(x))
Eq(F_118(x), F_119(x) + F_122(x))
Eq(F_119(x), F_120(x) + F_121(x))
Eq(F_120(x), F_42(x)*F_5(x))
Eq(F_121(x), F_89(x)*F_95(x))
Eq(F_122(x), F_123(x))
Eq(F_123(x), F_124(x)*F_17(x)*F_94(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_0(x)*F_89(x))
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_0(x)*F_2(x)*F_49(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_15(x)*F_17(x)*F_98(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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 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": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, 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[1, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": 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0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [1, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[1, 1], [2, 1], [2, 1]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 3], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[1, 3], [2, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[1, 3], [2, 3], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 0], [2, 3]]}, {"patt": [2, 0, 1], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [1, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[1, 3], [2, 3], [2, 3]]}, {"patt": [2, 1, 0], "pos": [[2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 1], [1, 1], [1, 3], [1, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 1], [2, 1], [2, 3], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 1], [2, 1]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [1, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[1, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 1, 2], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [1, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 1], [2, 3], [2, 1], [2, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [2, 3, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [2, 3]]}, {"patt": [2, 3, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 0, 1, 2], "pos": [[1, 3], [1, 1], [2, 1], [2, 3]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [2, 1]]}, {"patt": [3, 0, 2, 1], "pos": [[1, 3], [1, 1], [2, 3], [2, 1]]}, {"patt": [3, 2, 0, 1], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [3, 2, 1, 0], "pos": [[1, 3], [1, 3], [1, 3], [1, 3]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [2, 3]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[1, 1], [1, 3], [1, 3], [1, 1], [1, 3]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[1, 1], [1, 3], [1, 3], [1, 3], [1, 1]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 4, 3, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [1, 1], [1, 3], [1, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[2, 3], [2, 1], [2, 3], [2, 1], [2, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 3], [2, 1], [2, 3], [2, 3], [2, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25937/
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[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[15,x]*F[8,x]
F[8,x] = F[10,x]+F[9,x]
F[9,x] = F[2,x]*F[4,x]
F[10,x] = F[11,x]+F[96,x]
F[11,x] = F[12,x]+F[16,x]
F[12,x] = -F[0,x]+F[13,x]
F[13,x] = 1/F[15,x]*F[14,x]
F[14,x] = F[2,x]
F[15,x] = x
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[18,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[12,x]*F[4,x]
F[20,x] = F[0,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[15,x]*F[23,x]
F[23,x] = F[24,x]+F[26,x]
F[24,x] = 1/F[15,x]*F[25,x]
F[25,x] = F[12,x]
F[26,x] = -F[58,x]+F[27,x]
F[27,x] = 1/F[15,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = -F[12,x]+F[30,x]
F[30,x] = -F[34,x]+F[31,x]
F[31,x] = 1/F[15,x]*F[32,x]
F[32,x] = F[33,x]
F[33,x] = -F[2,x]+F[12,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[13,x]*F[2,x]
F[36,x] = F[37,x]
F[37,x] = F[15,x]*F[38,x]*F[53,x]
F[38,x] = F[39,x]+F[50,x]
F[39,x] = F[40,x]
F[40,x] = F[15,x]*F[41,x]*F[46,x]
F[41,x] = F[0,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[15,x]*F[44,x]
F[44,x] = 1/F[15,x]*F[45,x]
F[45,x] = F[12,x]
F[46,x] = F[47,x]+F[50,x]
F[47,x] = F[0,x]+F[48,x]
F[48,x] = F[49,x]
F[49,x] = F[0,x]*F[15,x]*F[47,x]
F[50,x] = F[12,x]+F[51,x]
F[51,x] = F[52,x]
F[52,x] = F[0,x]*F[15,x]*F[50,x]
F[53,x] = F[0,x]+F[54,x]
F[54,x] = F[55,x]
F[55,x] = F[0,x]*F[15,x]*F[56,x]
F[56,x] = F[13,x]+F[57,x]
F[57,x] = F[2,x]*F[53,x]
F[58,x] = F[59,x]
F[59,x] = F[15,x]*F[60,x]
F[60,x] = 1/F[15,x]*F[61,x]
F[61,x] = F[62,x]
F[62,x] = -F[65,x]+F[63,x]
F[63,x] = 1/F[15,x]*F[64,x]
F[64,x] = F[29,x]
F[65,x] = F[66,x]
F[66,x] = F[67,x]+F[68,x]
F[67,x] = F[12,x]*F[13,x]
F[68,x] = F[53,x]*F[69,x]
F[69,x] = -F[12,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[15,x]*F[72,x]
F[72,x] = 1/F[15,x]*F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[75,x]+F[76,x]
F[75,x] = F[43,x]
F[76,x] = -F[38,x]+F[77,x]
F[77,x] = 1/F[0,x]/F[15,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = F[15,x]*F[80,x]
F[80,x] = F[81,x]+F[87,x]
F[81,x] = F[0,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = F[15,x]*F[84,x]
F[84,x] = F[44,x]+F[85,x]
F[85,x] = F[86,x]
F[86,x] = F[0,x]*F[15,x]*F[84,x]
F[87,x] = F[88,x]*F[93,x]
F[88,x] = F[2,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[91,x]
F[91,x] = F[9,x]+F[92,x]
F[92,x] = F[0,x]*F[12,x]
F[93,x] = F[41,x]+F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[0,x]*F[15,x]*F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[15,x]*F[98,x]
F[98,x] = F[119,x]+F[99,x]
F[99,x] = F[0,x]*F[100,x]
F[100,x] = F[101,x]
F[101,x] = F[0,x]*F[102,x]*F[15,x]
F[102,x] = F[103,x]+F[117,x]
F[103,x] = 1/F[15,x]*F[104,x]
F[104,x] = F[105,x]
F[105,x] = F[106,x]*F[15,x]
F[106,x] = F[107,x]+F[115,x]
F[107,x] = 1/F[15,x]*F[108,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]+F[12,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[15,x]
F[112,x] = F[113,x]+F[21,x]
F[113,x] = F[114,x]
F[114,x] = F[0,x]*F[112,x]*F[15,x]
F[115,x] = F[116,x]
F[116,x] = F[15,x]*F[47,x]*F[84,x]
F[117,x] = F[118,x]
F[118,x] = F[0,x]*F[15,x]*F[84,x]
F[119,x] = F[120,x]
F[120,x] = F[0,x]*F[121,x]
F[121,x] = F[122,x]+F[125,x]
F[122,x] = F[123,x]+F[124,x]
F[123,x] = F[41,x]*F[5,x]
F[124,x] = F[88,x]*F[94,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[15,x]*F[93,x]
F[127,x] = F[128,x]+F[129,x]
F[128,x] = F[0,x]*F[88,x]
F[129,x] = F[130,x]
F[130,x] = F[0,x]*F[2,x]*F[48,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_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{96}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)
F_{12}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{2}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{20}\! \left(x \right) = F_{0}\! \left(x \right) F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{15}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{26}\! \left(x \right)
F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{25}\! \left(x \right) = F_{12}\! \left(x \right)
F_{26}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = \frac{F_{32}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{12}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right) F_{2}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{15}\! \left(x \right) F_{38}\! \left(x \right) F_{53}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{50}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right) F_{46}\! \left(x \right)
F_{41}\! \left(x \right) = F_{0}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{15}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = \frac{F_{45}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{45}\! \left(x \right) = F_{12}\! \left(x \right)
F_{46}\! \left(x \right) = F_{47}\! \left(x \right)+F_{50}\! \left(x \right)
F_{47}\! \left(x \right) = F_{0}\! \left(x \right)+F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{47}\! \left(x \right)
F_{50}\! \left(x \right) = F_{12}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{50}\! \left(x \right)
F_{53}\! \left(x \right) = F_{0}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{13}\! \left(x \right)+F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = F_{2}\! \left(x \right) F_{53}\! \left(x \right)
F_{58}\! \left(x \right) = F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = F_{15}\! \left(x \right) F_{60}\! \left(x \right)
F_{60}\! \left(x \right) = \frac{F_{61}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = \frac{F_{64}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{64}\! \left(x \right) = F_{29}\! \left(x \right)
F_{65}\! \left(x \right) = F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{68}\! \left(x \right)
F_{67}\! \left(x \right) = F_{12}\! \left(x \right) F_{13}\! \left(x \right)
F_{68}\! \left(x \right) = F_{53}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{15}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{76}\! \left(x \right)
F_{75}\! \left(x \right) = F_{43}\! \left(x \right)
F_{76}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{0}\! \left(x \right) F_{15}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{15}\! \left(x \right) F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)+F_{87}\! \left(x \right)
F_{81}\! \left(x \right) = F_{0}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{44}\! \left(x \right)+F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{87}\! \left(x \right) = F_{88}\! \left(x \right) F_{93}\! \left(x \right)
F_{88}\! \left(x \right) = F_{2}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{9}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{12}\! \left(x \right)
F_{93}\! \left(x \right) = F_{41}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{119}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{0}\! \left(x \right) F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{0}\! \left(x \right) F_{102}\! \left(x \right) F_{15}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{117}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{15}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{115}\! \left(x \right)
F_{107}\! \left(x \right) = \frac{F_{108}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)+F_{12}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{15}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{21}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{0}\! \left(x \right) F_{112}\! \left(x \right) F_{15}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right) F_{84}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right) F_{84}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{0}\! \left(x \right) F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{125}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{124}\! \left(x \right)
F_{123}\! \left(x \right) = F_{41}\! \left(x \right) F_{5}\! \left(x \right)
F_{124}\! \left(x \right) = F_{88}\! \left(x \right) F_{94}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{129}\! \left(x \right)
F_{128}\! \left(x \right) = F_{0}\! \left(x \right) F_{88}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \left(x \right) F_{48}\! \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_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_15(x)*F_8(x))
Eq(F_8(x), F_10(x) + F_9(x))
Eq(F_9(x), F_2(x)*F_4(x))
Eq(F_10(x), F_11(x) + F_96(x))
Eq(F_11(x), F_12(x) + F_16(x))
Eq(F_12(x), -F_0(x) + F_13(x))
Eq(F_13(x), F_14(x)/F_15(x))
Eq(F_14(x), F_2(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_18(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_12(x)*F_4(x))
Eq(F_20(x), F_0(x)*F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_15(x)*F_23(x))
Eq(F_23(x), F_24(x) + F_26(x))
Eq(F_24(x), F_25(x)/F_15(x))
Eq(F_25(x), F_12(x))
Eq(F_26(x), F_27(x) - F_58(x))
Eq(F_27(x), F_28(x)/F_15(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), -F_12(x) + F_30(x))
Eq(F_30(x), F_31(x) - F_34(x))
Eq(F_31(x), F_32(x)/F_15(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_12(x) - F_2(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_13(x)*F_2(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_15(x)*F_38(x)*F_53(x))
Eq(F_38(x), F_39(x) + F_50(x))
Eq(F_39(x), F_40(x))
Eq(F_40(x), F_15(x)*F_41(x)*F_46(x))
Eq(F_41(x), F_0(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_15(x)*F_44(x))
Eq(F_44(x), F_45(x)/F_15(x))
Eq(F_45(x), F_12(x))
Eq(F_46(x), F_47(x) + F_50(x))
Eq(F_47(x), F_0(x) + F_48(x))
Eq(F_48(x), F_49(x))
Eq(F_49(x), F_0(x)*F_15(x)*F_47(x))
Eq(F_50(x), F_12(x) + F_51(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_0(x)*F_15(x)*F_50(x))
Eq(F_53(x), F_0(x) + F_54(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), F_0(x)*F_15(x)*F_56(x))
Eq(F_56(x), F_13(x) + F_57(x))
Eq(F_57(x), F_2(x)*F_53(x))
Eq(F_58(x), F_59(x))
Eq(F_59(x), F_15(x)*F_60(x))
Eq(F_60(x), F_61(x)/F_15(x))
Eq(F_61(x), F_62(x))
Eq(F_62(x), F_63(x) - F_65(x))
Eq(F_63(x), F_64(x)/F_15(x))
Eq(F_64(x), F_29(x))
Eq(F_65(x), F_66(x))
Eq(F_66(x), F_67(x) + F_68(x))
Eq(F_67(x), F_12(x)*F_13(x))
Eq(F_68(x), F_53(x)*F_69(x))
Eq(F_69(x), -F_12(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_15(x)*F_72(x))
Eq(F_72(x), F_73(x)/F_15(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_75(x) + F_76(x))
Eq(F_75(x), F_43(x))
Eq(F_76(x), -F_38(x) + F_77(x))
Eq(F_77(x), F_78(x)/(F_0(x)*F_15(x)))
Eq(F_78(x), F_79(x))
Eq(F_79(x), F_15(x)*F_80(x))
Eq(F_80(x), F_81(x) + F_87(x))
Eq(F_81(x), F_0(x)*F_82(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), F_15(x)*F_84(x))
Eq(F_84(x), F_44(x) + F_85(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_0(x)*F_15(x)*F_84(x))
Eq(F_87(x), F_88(x)*F_93(x))
Eq(F_88(x), F_2(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_91(x))
Eq(F_91(x), F_9(x) + F_92(x))
Eq(F_92(x), F_0(x)*F_12(x))
Eq(F_93(x), F_41(x) + F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_0(x)*F_15(x)*F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_15(x)*F_98(x))
Eq(F_98(x), F_119(x) + F_99(x))
Eq(F_99(x), F_0(x)*F_100(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_0(x)*F_102(x)*F_15(x))
Eq(F_102(x), F_103(x) + F_117(x))
Eq(F_103(x), F_104(x)/F_15(x))
Eq(F_104(x), F_105(x))
Eq(F_105(x), F_106(x)*F_15(x))
Eq(F_106(x), F_107(x) + F_115(x))
Eq(F_107(x), F_108(x)/F_15(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x) + F_12(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_15(x))
Eq(F_112(x), F_113(x) + F_21(x))
Eq(F_113(x), F_114(x))
Eq(F_114(x), F_0(x)*F_112(x)*F_15(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_15(x)*F_47(x)*F_84(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), F_0(x)*F_15(x)*F_84(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_0(x)*F_121(x))
Eq(F_121(x), F_122(x) + F_125(x))
Eq(F_122(x), F_123(x) + F_124(x))
Eq(F_123(x), F_41(x)*F_5(x))
Eq(F_124(x), F_88(x)*F_94(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_15(x)*F_93(x))
Eq(F_127(x), F_128(x) + F_129(x))
Eq(F_128(x), F_0(x)*F_88(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_0(x)*F_2(x)*F_48(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, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 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:
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