01234_01243_01324_10234_10243_10324_13024

Counting sequence:
1, 1, 2, 6, 24, 113, 582, 3169, 17926, 104246, 619027, 3736420, 22851400, 141277159, 881399680, 5541503656, 35072902628, 223270714938, 1428574961043, 9181919584982, 59253259704691, 383761213926067, 2493606588682069, 16251073567000394, 106196485094434571, 695686179304238878, 4567778472264690208, 30054436193819569471, 198132695217756006026, 1308540656340555647335, 8656606019405735266810, 57357309690813036094988, 380598153343882662414543, 2528958001673468806648166, 16825868614934382678045597, 112083431003600058166100282, 747486472730534856413671524, 4990404242590099783614442042, 33351340830740756522621098633, 223106783001824401859269320493, 1493869537335094706471585474491, 10011361065613023471846999155082, 67148408860186787654128322962026, 450737181385900488373614535014808, 3027890762012881456311014217102927, 20355012283741653966098337166171606, 136931402753614560585274128704278535, 921769522333770435043443924709283810, 6208935249549504295400594572881207118, 41848131518537648702098596917518118037, 282220473668534632224296529919380026294, 1904339828585645980696757943515611223228, 12856846182508780867500742142931072388921, 86845960862271159334379114478779943147891, 586923632491062663760657487114912775714339, 3968464002861651346578651715119481275775278, 26845078657054270688140069851470751785575520, 181677528559853388669103334630577475073410122, 1230057247439224813146231610096495410198197696, 8331642759539167001206294458803630982485891363, 56456130785091002361825102439098902239646687111, 382702223048141260856868044053114616931634070023, 2595223675231907387093170363074763928532597974860, 17605458208305559924413813785720655763283616649570, 119474064812892405785107981976732426847121675879603, 811052535672660034553906427743341306353675791008532, 5507682037993063566402912429311413112051053772043301, 37413552918020301659931126376966902638936034146841495, 254229032678028197817336796821265387529075056351260786, 1728038846522665255597252789450398392382279932131645602, 11749252939643783999406970371176654152677150946517715146, 79908282123420978313477319824047430113978552852679003406, 543619050125523839834509876086918299193199297053872021101, 3699265986353530338167076520834098948323195350979026205563, 25179742901133586832427872646698598543955906298516484328597, 171434732010084005832959336378058905663521871301036809839111, 1167495441912415533845497930311139899278019789614020082598133, 7952755275608302781944312096806060637854067133228291697360630, 54185536820531666720364524723986203064032705725784012920839161, 369274973511089156791869722849199109629327682549149211589110291, 2517181890774801728828406193849552622701730816737660812706622088, 17162286062831451995900310812596869336777968326093214278029750299, 117038612628690722026036241103232046095224972302206182574379655318, 798315283773170232039053097940460138977063266008685757487705376951, 5446390960027154846924005790260006347200917733124741165199928937574, 37164662155243532733313913253297438040189466442568876185889201540074, 253650989561825921044082814179529076354851531648252615289262774867155, 1731513918576344661474922142475791962293887532546928456359203217060558, 11822153440750865609406108611121602413959065419283898239926263808503188, 80732158369905430579738574294089558725721785441933873789709294712865323, 551409380886922739156659305187497706329839945431488731798431376534102582, 3766844204611208802605598077228548555189719522059679030780769607986738095, 25736853400942511198628554738700878725303881444423832485498240975666694859, 175875739222812447361636197492005083703682925371378335032976475899322595653, 1202063981317866052494938987684675353206171105701876570692897531696340399431, 8217106329995692492277246267646322213863358973485434701532980677999787644037, 56179576807292687744216629334492703326034313995875393418223063170827678597108, 384153556202269737260355097776499339844896372623146956422532812490883944064702, 2627221787445568282556095360021497717712190957201207677115020394345210020503772, 17970194943089081005207066527894630443539749505003092750304306481167523459411178, 122933922480808599222137577378317554616287428373678327013149443862000653010882610

Specification 1
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24775/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[154,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = F[10,x,k[0]]+F[13,x,k[0]]+F[146,x,k[0]]+F[6,x]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = -k[0]*(F[9,x,1]-F[9,x,k[0]])/(-1+k[0])
F[12,x] = x
F[13,x,k[0]] = F[12,x]*F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,1,k[0]]
F[15,x,k[0],k[1]] = F[128,x,k[0],k[1]]+F[16,x,k[0],k[1]]+F[19,x,k[0],k[1]]+F[21,x,k[0],k[1]]+F[6,x]
F[16,x,k[0],k[1]] = F[12,x]*F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = 1/(-1+k[0])*(F[18,x,k[0],k[1]]*k[0]-F[18,x,1,k[1]])
F[18,x,k[0],k[1]] = k[1]*(F[9,x,k[0]]-F[9,x,k[1]])/(-k[1]+k[0])
F[19,x,k[0],k[1]] = F[12,x]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = 1/(-1+k[0])*(F[15,x,k[0],k[1]]*k[0]-F[15,x,1,k[1]])
F[21,x,k[0],k[1]] = F[22,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[23,x,k[0],k[1]]*F[34,x,k[0]]
F[23,x,k[0],k[1]] = k[1]*F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[12,x]*F[26,x,k[0]]
F[26,x,k[0]] = F[126,x,k[0]]+F[27,x,k[0]]+F[35,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]+F[4,x]
F[28,x,k[0]] = F[10,x,k[0]]+F[29,x,k[0]]+F[31,x,k[0]]+F[6,x]
F[29,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[30,x,k[0]] = -k[0]*(F[28,x,1]-F[28,x,k[0]])/(-1+k[0])
F[31,x,k[0]] = F[32,x,k[0]]*F[34,x,k[0]]
F[32,x,k[0]] = F[27,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = k[0]*F[24,x,k[0]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[12,x]*F[37,x,k[0]]
F[38,x,k[0]] = F[37,x,k[0]]+F[40,x,k[0]]
F[39,x,k[0]] = F[34,x,k[0]]*F[38,x,k[0]]
F[39,x,k[0]] = F[11,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = k[0]*F[42,x,k[0]]
F[42,x,k[0]] = 1/(-1+k[0])*(F[43,x,k[0]]*k[0]-F[43,x,1])
F[43,x,k[0]] = 3*F[6,x]+F[125,x,k[0]]+F[44,x,k[0]]
F[44,x,k[0]] = F[12,x]*F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[12,x]*F[47,x,k[0]]
F[48,x,k[0]] = F[120,x]+F[47,x,k[0]]
F[49,x,k[0]] = F[12,x]*F[48,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[51,x,k[0]] = F[12,x]*F[50,x,k[0]]
F[52,x,k[0]] = 2*F[6,x]+F[105,x,k[0]]+F[51,x,k[0]]+F[97,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0],1]
F[53,x,k[0],k[1]] = F[54,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[26,x,k[0]*k[1]]+F[54,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[56,x,k[0],k[1]]+F[58,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[56,x,k[0],k[1]] = F[57,x,k[0]*k[1],k[1]]
F[57,x,k[0],k[1]] = F[23,x,k[0],k[1]]+F[27,x,k[0]]
F[58,x,k[0],k[1]] = F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[12,x]*F[60,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[61,x,k[0],k[1]]+F[66,x]
F[61,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[62,x,k[0],k[1]]*k[0]*k[1]-F[62,x,1/k[1],k[1]])
F[62,x,k[0],k[1]] = F[63,x,k[0]*k[1],k[1]]
F[63,x,k[0],k[1]] = F[64,x,k[0]]+F[80,x,k[0],k[1]]
F[65,x,k[0]] = 1/(-1+k[0])*(F[64,x,k[0]]*k[0]-F[64,x,1])
F[37,x,k[0]] = F[65,x,k[0]]+F[66,x]
F[66,x] = -F[69,x]+F[67,x]
F[67,x] = 1/F[12,x]*F[68,x]
F[68,x] = F[8,x]
F[69,x] = 1/F[12,x]*F[70,x]
F[70,x] = -F[4,x]+F[71,x]
F[71,x] = -F[74,x]+F[72,x]
F[72,x] = 1/F[12,x]*F[73,x]
F[73,x] = F[5,x]
F[74,x] = F[75,x,1]
F[75,x,k[0]] = F[28,x,k[0]]+F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[12,x]*F[78,x,k[0]]
F[78,x,k[0]] = F[79,x,1,k[0]]
F[79,x,k[0],k[1]] = k[1]*F[43,x,k[0]]
F[80,x,k[0],k[1]] = F[79,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[12,x]*F[83,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[85,x]
F[84,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[55,x,k[0],k[1]]*k[0]*k[1]-F[55,x,1/k[1],k[1]])
F[85,x] = -F[96,x]+F[86,x]
F[86,x] = 1/F[12,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = -F[4,x]-F[94,x]+F[89,x]
F[89,x] = 1/F[12,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[0,x]+F[92,x]
F[92,x] = 1/F[12,x]*F[93,x]
F[93,x] = F[2,x]
F[94,x] = F[95,x]
F[95,x] = F[12,x]*F[67,x]
F[96,x] = F[26,x,1]
F[97,x,k[0]] = F[12,x]*F[98,x,k[0]]
F[98,x,k[0]] = F[103,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]*F[12,x]
F[101,x,k[0]] = F[102,x,k[0]]+F[85,x]
F[102,x,k[0]] = 1/(-1+k[0])*(F[26,x,k[0]]*k[0]-F[26,x,1])
F[103,x,k[0]] = F[104,x,k[0]]*F[12,x]
F[104,x,k[0]] = 1/(-1+k[0])*(F[98,x,k[0]]*k[0]-F[98,x,1])
F[105,x,k[0]] = F[106,x,k[0]]*F[12,x]
F[106,x,k[0]] = F[107,x]+F[118,x,k[0]]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]+F[4,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[12,x]
F[111,x] = F[112,x,1]
F[112,x,k[0]] = F[107,x]+F[113,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[64,x,k[0]] = F[114,x,k[0]]+F[89,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[106,x,1]
F[118,x,k[0]] = F[119,x,k[0]]
F[26,x,k[0]] = F[119,x,k[0]]+F[89,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[66,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[12,x]*F[122,x]
F[125,x,k[0]] = F[112,x,k[0]]*F[12,x]
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[101,x,k[0]]*F[12,x]
F[128,x,k[0],k[1]] = F[129,x,k[0],k[1]]*F[34,x,k[1]]
F[129,x,k[0],k[1]] = F[1,x]+F[128,x,k[0],k[1]]+F[130,x,k[0],k[1]]+F[139,x,k[0],k[1]]+F[142,x,k[0],k[1]]+F[145,x,k[0],k[1]]
F[130,x,k[0],k[1]] = F[12,x]*F[131,x,k[0],k[1]]
F[131,x,k[0],k[1]] = (-F[132,x,1,k[1]]*k[1]+F[132,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[132,x,k[0],k[1]] = F[133,x,k[0]*k[1],k[1]]
F[133,x,k[0],k[1]] = F[134,x,k[0]]+F[136,x,k[0],k[1]]
F[134,x,k[0]] = 1/(-1+k[0])*(F[135,x,k[0]]*k[0]-F[135,x,1])
F[135,x,k[0]] = F[4,x]+F[9,x,k[0]]
F[136,x,k[0],k[1]] = k[1]*F[137,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[12,x]*F[65,x,k[0]]
F[139,x,k[0],k[1]] = F[12,x]*F[140,x,k[0],k[1]]
F[140,x,k[0],k[1]] = 1/(-1+k[0])*(F[141,x,k[0],k[1]]*k[0]-F[141,x,1,k[1]])
F[141,x,k[0],k[1]] = F[15,x,k[0],k[1]]+F[27,x,k[0]]
F[142,x,k[0],k[1]] = F[143,x,k[0],k[1]]*F[34,x,k[0]]
F[143,x,k[0],k[1]] = F[144,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[144,x,k[0],k[1]] = F[33,x,k[0]]
F[145,x,k[0],k[1]] = F[141,x,k[0],k[1]]*F[34,x,k[1]]
F[146,x,k[0]] = F[147,x,k[0]]*F[34,x,k[0]]
F[147,x,k[0]] = F[148,x,1,k[0]]
F[148,x,k[0],k[1]] = F[1,x]+F[146,x,k[0]*k[1]]+F[149,x,k[0],k[1]]+F[150,x,k[0]*k[1]]+F[153,x,k[0],k[1]]
F[149,x,k[0],k[1]] = F[12,x]*F[132,x,k[0],k[1]]
F[150,x,k[0]] = F[12,x]*F[151,x,k[0]]
F[151,x,k[0]] = F[14,x,k[0]]+F[152,x]
F[152,x] = F[27,x,1]
F[153,x,k[0],k[1]] = F[135,x,k[1]]*F[34,x,k[1]]
F[154,x] = F[12,x]*F[152,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_{12}\! \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_{154}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y\right) = -\frac{y \left(F_{9}\! \left(x , 1\right)-F_{9}\! \left(x , y\right)\right)}{-1+y}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , 1, y\right)
F_{15}\! \left(x , y , z\right) = F_{128}\! \left(x , y , z\right)+F_{16}\! \left(x , y , z\right)+F_{19}\! \left(x , y , z\right)+F_{21}\! \left(x , y , z\right)+F_{6}\! \left(x \right)
F_{16}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{17}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = -\frac{-F_{18}\! \left(x , y , z\right) y +F_{18}\! \left(x , 1, z\right)}{-1+y}
F_{18}\! \left(x , y , z\right) = \frac{z \left(F_{9}\! \left(x , y\right)-F_{9}\! \left(x , z\right)\right)}{-z +y}
F_{19}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{20}\! \left(x , y , z\right)
F_{20}\! \left(x , y , z\right) = -\frac{-F_{15}\! \left(x , y , z\right) y +F_{15}\! \left(x , 1, z\right)}{-1+y}
F_{21}\! \left(x , y , z\right) = F_{22}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right) F_{34}\! \left(x , y\right)
F_{23}\! \left(x , y , z\right) = z F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{27}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{28}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{29}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = -\frac{y \left(F_{28}\! \left(x , 1\right)-F_{28}\! \left(x , y\right)\right)}{-1+y}
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = y F_{24}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = y F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = -\frac{-F_{43}\! \left(x , y\right) y +F_{43}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x , y\right) = 3 F_{6}\! \left(x \right)+F_{125}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{120}\! \left(x \right)+F_{47}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = 2 F_{6}\! \left(x \right)+F_{105}\! \left(x , y\right)+F_{51}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y , 1\right)
F_{53}\! \left(x , y , z\right) = F_{54}\! \left(x , y , z\right)
F_{55}\! \left(x , y , z\right) = F_{26}\! \left(x , y z \right)+F_{54}\! \left(x , y , z\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y , z\right)+F_{58}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{56}\! \left(x , y , z\right) = F_{57}\! \left(x , y z , z\right)
F_{57}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)+F_{27}\! \left(x , y\right)
F_{58}\! \left(x , y , z\right) = F_{59}\! \left(x , y , z\right)
F_{59}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{60}\! \left(x , y , z\right)
F_{60}\! \left(x , y , z\right) = F_{61}\! \left(x , y , z\right)+F_{66}\! \left(x \right)
F_{61}\! \left(x , y , z\right) = \frac{F_{62}\! \left(x , y , z\right) y z -F_{62}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{62}\! \left(x , y , z\right) = F_{63}\! \left(x , y z , z\right)
F_{63}\! \left(x , y , z\right) = F_{64}\! \left(x , y\right)+F_{80}\! \left(x , y , z\right)
F_{65}\! \left(x , y\right) = -\frac{-F_{64}\! \left(x , y\right) y +F_{64}\! \left(x , 1\right)}{-1+y}
F_{37}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{8}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{5}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{75}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , 1, y\right)
F_{79}\! \left(x , y , z\right) = z F_{43}\! \left(x , y\right)
F_{80}\! \left(x , y , z\right) = F_{79}\! \left(x , y , z\right)
F_{81}\! \left(x , y , z\right) = F_{82}\! \left(x , y , z\right)
F_{82}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{83}\! \left(x , y , z\right)
F_{83}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{85}\! \left(x \right)
F_{84}\! \left(x , y , z\right) = \frac{y z F_{55}\! \left(x , y , z\right)-F_{55}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{85}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{4}\! \left(x \right)-F_{94}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{2}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{96}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{97}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{85}\! \left(x \right)
F_{102}\! \left(x , y\right) = -\frac{-F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , 1\right)}{-1+y}
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{104}\! \left(x , y\right) = -\frac{-F_{98}\! \left(x , y\right) y +F_{98}\! \left(x , 1\right)}{-1+y}
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x \right)+F_{118}\! \left(x , y\right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{12}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x , 1\right)
F_{112}\! \left(x , y\right) = F_{107}\! \left(x \right)+F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{89}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{117}\! \left(x \right) = F_{106}\! \left(x , 1\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{89}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{66}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{12}\! \left(x \right) F_{122}\! \left(x \right)
F_{125}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{128}\! \left(x , y , z\right) = F_{129}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{129}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{128}\! \left(x , y , z\right)+F_{130}\! \left(x , y , z\right)+F_{139}\! \left(x , y , z\right)+F_{142}\! \left(x , y , z\right)+F_{145}\! \left(x , y , z\right)
F_{130}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{131}\! \left(x , y , z\right)
F_{131}\! \left(x , y , z\right) = -\frac{F_{132}\! \left(x , 1, z\right) z -y F_{132}\! \left(x , \frac{y}{z}, z\right)}{-z +y}
F_{132}\! \left(x , y , z\right) = F_{133}\! \left(x , y z , z\right)
F_{133}\! \left(x , y , z\right) = F_{134}\! \left(x , y\right)+F_{136}\! \left(x , y , z\right)
F_{134}\! \left(x , y\right) = -\frac{-F_{135}\! \left(x , y\right) y +F_{135}\! \left(x , 1\right)}{-1+y}
F_{135}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{9}\! \left(x , y\right)
F_{136}\! \left(x , y , z\right) = z F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{139}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{140}\! \left(x , y , z\right)
F_{140}\! \left(x , y , z\right) = -\frac{-y F_{141}\! \left(x , y , z\right)+F_{141}\! \left(x , 1, z\right)}{-1+y}
F_{141}\! \left(x , y , z\right) = F_{15}\! \left(x , y , z\right)+F_{27}\! \left(x , y\right)
F_{142}\! \left(x , y , z\right) = F_{143}\! \left(x , y , z\right) F_{34}\! \left(x , y\right)
F_{143}\! \left(x , y , z\right) = F_{144}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{144}\! \left(x , y , z\right) = F_{33}\! \left(x , y\right)
F_{145}\! \left(x , y , z\right) = F_{141}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , 1, y\right)
F_{148}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{146}\! \left(x , y z \right)+F_{149}\! \left(x , y , z\right)+F_{150}\! \left(x , y z \right)+F_{153}\! \left(x , y , z\right)
F_{149}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{132}\! \left(x , y , z\right)
F_{150}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{151}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{27}\! \left(x , 1\right)
F_{153}\! \left(x , y , z\right) = F_{135}\! \left(x , z\right) F_{34}\! \left(x , z\right)
F_{154}\! \left(x \right) = F_{12}\! \left(x \right) F_{152}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_154(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), F_10(x, k_0) + F_13(x, k_0) + F_146(x, k_0) + F_6(x))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), -F_9(x, 1) + (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_12(x)*F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, 1, k_0))
Eq(F_15(x, k_0, k_1), F_128(x, k_0, k_1) + F_16(x, k_0, k_1) + F_19(x, k_0, k_1) + F_21(x, k_0, k_1) + F_6(x))
Eq(F_16(x, k_0, k_1), F_12(x)*F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), (k_0*F_18(x, k_0, k_1) - F_18(x, 1, k_1))/(k_0 - 1))
Eq(F_18(x, k_0, k_1), -F_9(x, k_0) + (-k_0*F_9(x, k_0) + k_1*F_9(x, k_1))/(-k_0 + k_1))
Eq(F_19(x, k_0, k_1), F_12(x)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), (k_0*F_15(x, k_0, k_1) - F_15(x, 1, k_1))/(k_0 - 1))
Eq(F_21(x, k_0, k_1), F_22(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, k_0, k_1)*F_34(x, k_0))
Eq(F_23(x, k_0, k_1), k_1*F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_12(x)*F_26(x, k_0))
Eq(F_26(x, k_0), F_126(x, k_0) + F_27(x, k_0) + F_35(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0) + F_4(x))
Eq(F_28(x, k_0), F_10(x, k_0) + F_29(x, k_0) + F_31(x, k_0) + F_6(x))
Eq(F_29(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_30(x, k_0), -F_28(x, 1) + (k_0*F_28(x, k_0) - F_28(x, 1))/(k_0 - 1))
Eq(F_31(x, k_0), F_32(x, k_0)*F_34(x, k_0))
Eq(F_32(x, k_0), F_27(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), k_0*F_24(x, k_0))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x)*F_37(x, k_0))
Eq(F_38(x, k_0), F_37(x, k_0) + F_40(x, k_0))
Eq(F_39(x, k_0), F_34(x, k_0)*F_38(x, k_0))
Eq(F_39(x, k_0), F_11(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), k_0*F_42(x, k_0))
Eq(F_42(x, k_0), (k_0*F_43(x, k_0) - F_43(x, 1))/(k_0 - 1))
Eq(F_43(x, k_0), F_125(x, k_0) + F_44(x, k_0) + 3*F_6(x))
Eq(F_44(x, k_0), F_12(x)*F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_12(x)*F_47(x, k_0))
Eq(F_48(x, k_0), F_120(x) + F_47(x, k_0))
Eq(F_49(x, k_0), F_12(x)*F_48(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_51(x, k_0), F_12(x)*F_50(x, k_0))
Eq(F_52(x, k_0), F_105(x, k_0) + F_51(x, k_0) + 2*F_6(x) + F_97(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0, 1))
Eq(F_53(x, k_0, k_1), F_54(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_26(x, k_0*k_1) + F_54(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_56(x, k_0, k_1) + F_58(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), F_57(x, k_0*k_1, k_1))
Eq(F_57(x, k_0, k_1), F_23(x, k_0, k_1) + F_27(x, k_0))
Eq(F_58(x, k_0, k_1), F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_12(x)*F_60(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_61(x, k_0, k_1) + F_66(x))
Eq(F_61(x, k_0, k_1), (k_0*k_1*F_62(x, k_0, k_1) - F_62(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_62(x, k_0, k_1), F_63(x, k_0*k_1, k_1))
Eq(F_63(x, k_0, k_1), F_64(x, k_0) + F_80(x, k_0, k_1))
Eq(F_65(x, k_0), (k_0*F_64(x, k_0) - F_64(x, 1))/(k_0 - 1))
Eq(F_37(x, k_0), F_65(x, k_0) + F_66(x))
Eq(F_66(x), F_67(x) - F_69(x))
Eq(F_67(x), F_68(x)/F_12(x))
Eq(F_68(x), F_8(x))
Eq(F_69(x), F_70(x)/F_12(x))
Eq(F_70(x), -F_4(x) + F_71(x))
Eq(F_71(x), F_72(x) - F_74(x))
Eq(F_72(x), F_73(x)/F_12(x))
Eq(F_73(x), F_5(x))
Eq(F_74(x), F_75(x, 1))
Eq(F_75(x, k_0), F_28(x, k_0) + F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_12(x)*F_78(x, k_0))
Eq(F_78(x, k_0), F_79(x, 1, k_0))
Eq(F_79(x, k_0, k_1), k_1*F_43(x, k_0))
Eq(F_80(x, k_0, k_1), F_79(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_12(x)*F_83(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_84(x, k_0, k_1) + F_85(x))
Eq(F_84(x, k_0, k_1), (k_0*k_1*F_55(x, k_0, k_1) - F_55(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_85(x), F_86(x) - F_96(x))
Eq(F_86(x), F_87(x)/F_12(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), -F_4(x) + F_89(x) - F_94(x))
Eq(F_89(x), F_90(x)/F_12(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_0(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_12(x))
Eq(F_93(x), F_2(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_12(x)*F_67(x))
Eq(F_96(x), F_26(x, 1))
Eq(F_97(x, k_0), F_12(x)*F_98(x, k_0))
Eq(F_98(x, k_0), F_103(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0)*F_12(x))
Eq(F_101(x, k_0), F_102(x, k_0) + F_85(x))
Eq(F_102(x, k_0), (k_0*F_26(x, k_0) - F_26(x, 1))/(k_0 - 1))
Eq(F_103(x, k_0), F_104(x, k_0)*F_12(x))
Eq(F_104(x, k_0), (k_0*F_98(x, k_0) - F_98(x, 1))/(k_0 - 1))
Eq(F_105(x, k_0), F_106(x, k_0)*F_12(x))
Eq(F_106(x, k_0), F_107(x) + F_118(x, k_0))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x) + F_4(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, 1))
Eq(F_112(x, k_0), F_107(x) + F_113(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_64(x, k_0), F_114(x, k_0) + F_89(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_12(x))
Eq(F_117(x), F_106(x, 1))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_26(x, k_0), F_119(x, k_0) + F_89(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_66(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_12(x)*F_122(x))
Eq(F_125(x, k_0), F_112(x, k_0)*F_12(x))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_101(x, k_0)*F_12(x))
Eq(F_128(x, k_0, k_1), F_129(x, k_0, k_1)*F_34(x, k_1))
Eq(F_129(x, k_0, k_1), F_1(x) + F_128(x, k_0, k_1) + F_130(x, k_0, k_1) + F_139(x, k_0, k_1) + F_142(x, k_0, k_1) + F_145(x, k_0, k_1))
Eq(F_130(x, k_0, k_1), F_12(x)*F_131(x, k_0, k_1))
Eq(F_131(x, k_0, k_1), (-k_0*F_132(x, k_0/k_1, k_1) + k_1*F_132(x, 1, k_1))/(-k_0 + k_1))
Eq(F_132(x, k_0, k_1), F_133(x, k_0*k_1, k_1))
Eq(F_133(x, k_0, k_1), F_134(x, k_0) + F_136(x, k_0, k_1))
Eq(F_134(x, k_0), (k_0*F_135(x, k_0) - F_135(x, 1))/(k_0 - 1))
Eq(F_135(x, k_0), F_4(x) + F_9(x, k_0))
Eq(F_136(x, k_0, k_1), k_1*F_137(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_12(x)*F_65(x, k_0))
Eq(F_139(x, k_0, k_1), F_12(x)*F_140(x, k_0, k_1))
Eq(F_140(x, k_0, k_1), (k_0*F_141(x, k_0, k_1) - F_141(x, 1, k_1))/(k_0 - 1))
Eq(F_141(x, k_0, k_1), F_15(x, k_0, k_1) + F_27(x, k_0))
Eq(F_142(x, k_0, k_1), F_143(x, k_0, k_1)*F_34(x, k_0))
Eq(F_143(x, k_0, k_1), F_144(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_144(x, k_0, k_1), F_33(x, k_0))
Eq(F_145(x, k_0, k_1), F_141(x, k_0, k_1)*F_34(x, k_1))
Eq(F_146(x, k_0), F_147(x, k_0)*F_34(x, k_0))
Eq(F_147(x, k_0), F_148(x, 1, k_0))
Eq(F_148(x, k_0, k_1), F_1(x) + F_146(x, k_0*k_1) + F_149(x, k_0, k_1) + F_150(x, k_0*k_1) + F_153(x, k_0, k_1))
Eq(F_149(x, k_0, k_1), F_12(x)*F_132(x, k_0, k_1))
Eq(F_150(x, k_0), F_12(x)*F_151(x, k_0))
Eq(F_151(x, k_0), F_14(x, k_0) + F_152(x))
Eq(F_152(x), F_27(x, 1))
Eq(F_153(x, k_0, k_1), F_135(x, k_1)*F_34(x, k_1))
Eq(F_154(x), F_12(x)*F_152(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [0, 2]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 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"pos": [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [1, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 1], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [1, 2], [2, 2]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 1], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [1, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 2], [0, 1], [0, 2], [2, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 1], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 1], [0, 2], [1, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 1], [0, 2], [2, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], "requirements": [[{"patt": [0], "pos": [[3, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 2
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/24941/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[12,x]*F[7,x]
F[7,x] = F[129,x]+F[8,x]
F[8,x] = F[13,x]+F[9,x]
F[9,x] = F[0,x]+F[10,x]
F[10,x] = F[11,x]
F[11,x] = F[12,x]*F[7,x]
F[12,x] = x
F[13,x] = F[14,x]+F[5,x]
F[14,x] = F[15,x,1]
F[15,x,k[0]] = F[16,x,k[0]]+F[34,x,k[0]]
F[16,x,k[0]] = F[17,x]*F[26,x,k[0]]
F[17,x] = F[18,x]
F[18,x] = F[12,x]*F[19,x]
F[19,x] = F[20,x]+F[23,x]
F[20,x] = F[1,x]+F[21,x]
F[21,x] = F[22,x]
F[22,x] = F[12,x]*F[20,x]
F[23,x] = F[17,x]+F[24,x]
F[24,x] = F[25,x]
F[25,x] = F[12,x]*F[23,x]
F[26,x,k[0]] = F[27,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]*F[29,x,k[0]]
F[28,x,k[0]] = k[0]*x
F[29,x,k[0]] = F[30,x,k[0]]+F[31,x,k[0]]
F[30,x,k[0]] = F[1,x]+F[28,x,k[0]]
F[31,x,k[0]] = F[26,x,k[0]]+F[32,x,k[0]]
F[32,x,k[0]] = F[33,x,k[0]]
F[33,x,k[0]] = F[26,x,k[0]]*F[28,x,k[0]]
F[34,x,k[0]] = F[35,x,1,k[0]]
F[36,x,k[0],k[1]] = F[35,x,k[0],k[1]]+F[500,x,k[0],k[1]]
F[36,x,k[0],k[1]] = F[37,x,k[0],k[1]]
F[37,x,k[0],k[1]] = F[28,x,k[0]]*F[38,x,k[0],k[1]]
F[38,x,k[0],k[1]] = F[253,x,k[0],k[1]]+F[39,x,k[0],k[1]]
F[39,x,k[0],k[1]] = F[240,x,k[0],k[1]]+F[40,x,k[0],k[1]]
F[40,x,k[0],k[1]] = F[36,x,k[0],k[1]]+F[41,x,k[1]]
F[41,x,k[0]] = F[42,x,k[0]]
F[42,x,k[0]] = F[28,x,k[0]]*F[43,x,k[0]]
F[43,x,k[0]] = F[44,x,k[0]]+F[46,x,k[0]]
F[44,x,k[0]] = F[4,x]+F[45,x,k[0]]
F[45,x,k[0]] = F[15,x,k[0]]+F[41,x,k[0]]
F[46,x,k[0]] = k[0]*F[47,x,k[0]]
F[47,x,k[0]] = F[48,x,1,k[0]]
F[48,x,k[0],k[1]] = F[49,x,k[0],k[1]]
F[49,x,k[0],k[1]] = F[12,x]*F[50,x,k[0],k[1]]
F[50,x,k[0],k[1]] = F[44,x,k[1]]+F[51,x,k[0],k[1]]
F[51,x,k[0],k[1]] = F[52,x,k[0],k[1]]+F[87,x,k[0],k[1]]
F[52,x,k[0],k[1]] = F[36,x,k[0],k[1]]+F[53,x,k[0]]
F[53,x,k[0]] = F[54,x,k[0]]
F[54,x,k[0]] = F[28,x,k[0]]*F[55,x,k[0]]
F[55,x,k[0]] = F[56,x,k[0]]+F[59,x,k[0]]
F[56,x,k[0]] = F[57,x,k[0]]+F[9,x]
F[57,x,k[0]] = F[53,x,k[0]]+F[58,x,k[0]]
F[58,x,k[0]] = F[36,x,k[0],1]
F[59,x,k[0]] = k[0]*F[60,x,k[0]]
F[60,x,k[0]] = F[61,x,k[0]]+F[65,x,k[0]]
F[61,x,k[0]] = F[62,x,k[0]]
F[62,x,k[0]] = F[12,x]*F[63,x,k[0]]
F[64,x,k[0]] = F[28,x,k[0]]*F[63,x,k[0]]
F[64,x,k[0]] = F[53,x,k[0]]
F[65,x,k[0]] = F[66,x,1,k[0]]
F[66,x,k[0],k[1]] = F[67,x,k[0],k[1],1]
F[67,x,k[0],k[1],k[2]] = k[0]*F[68,x,k[2],k[2]]
F[68,x,k[0],k[1]] = F[231,x,k[0],k[1]]+F[69,x,k[1]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[12,x]*F[71,x,k[0]]
F[71,x,k[0]] = F[72,x,k[0]]
F[72,x,k[0]] = F[28,x,k[0]]*F[73,x,k[0]]
F[73,x,k[0]] = F[227,x,k[0]]+F[74,x,k[0]]
F[74,x,k[0]] = F[75,x,k[0]]+F[79,x,k[0]]
F[75,x,k[0]] = F[76,x,k[0]]+F[77,x,k[0]]
F[76,x,k[0]] = F[71,x,k[0]]+F[9,x]
F[77,x,k[0]] = 1/(-1+k[0])*(F[78,x,k[0]]*k[0]-F[78,x,1])
F[78,x,k[0]] = F[15,x,k[0]]+F[5,x]
F[79,x,k[0]] = F[80,x,k[0]]
F[80,x,k[0]] = F[12,x]*F[81,x,k[0]]
F[81,x,k[0]] = 1/(-1+k[0])*(F[82,x,k[0]]*k[0]-F[82,x,1])
F[82,x,k[0]] = F[223,x]+F[83,x,k[0]]
F[83,x,k[0]] = F[74,x,k[0]]+F[84,x]
F[84,x] = F[85,x,1]
F[85,x,k[0]] = F[57,x,k[0]]+F[86,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0],1]
F[87,x,k[0],k[1]] = F[88,x,k[0],k[1]]
F[88,x,k[0],k[1]] = F[28,x,k[0]]*F[89,x,k[0],k[1]]
F[90,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[89,x,k[0],k[1]]
F[91,x,k[0],k[1]] = F[12,x]*F[90,x,k[0],k[1]]
F[91,x,k[0],k[1]] = F[92,x,k[0],k[1]]
F[93,x,k[0],k[1]] = F[105,x,k[0],k[1]]+F[92,x,k[0],k[1]]
F[93,x,k[0],k[1]] = F[94,x,k[0],k[1]]
F[94,x,k[0],k[1]] = F[12,x]*F[95,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[12,x]*F[95,x,k[0],k[1]]
F[96,x,k[0],k[1]] = F[97,x,k[0],k[1]]
F[97,x,k[0],k[1]] = F[102,x,k[0],k[1]]+F[98,x,k[0],k[1]]
F[98,x,k[0],k[1]] = F[99,x,k[0],k[1]]
F[99,x,k[0],k[1]] = F[100,x,k[0],k[1]]*F[12,x]
F[100,x,k[0],k[1]] = F[101,x,k[0],k[1]]+F[74,x,k[1]]
F[101,x,k[0],k[1]] = 1/(-1+k[1])*(F[51,x,k[0],k[1]]*k[1]-F[51,x,k[0],1])
F[102,x,k[0],k[1]] = F[103,x,k[0],k[1]]
F[103,x,k[0],k[1]] = F[104,x,k[0],k[1]]*F[28,x,k[0]]
F[104,x,k[0],k[1]] = 1/(-1+k[1])*(F[97,x,k[0],k[1]]*k[1]-F[97,x,k[0],1])
F[105,x,k[0],k[1]] = F[61,x,k[0]]+F[68,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[106,x,k[0],k[1]]+F[158,x,k[0],k[1]]
F[107,x,k[0],k[1]] = F[108,x,k[0],k[1]]+F[153,x,k[0],k[1]]
F[108,x,k[0],k[1]] = F[109,x,k[0],k[1]]
F[109,x,k[0],k[1]] = F[110,x,k[1]]*F[150,x,k[0]]
F[110,x,k[0]] = F[111,x]+F[148,x,k[0]]
F[111,x] = F[112,x]
F[112,x] = F[113,x]*F[12,x]*F[20,x]
F[113,x] = F[114,x]+F[115,x]
F[114,x] = F[111,x]+F[4,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[118,x,1]
F[118,x,k[0]] = F[119,x,k[0]]+F[121,x,k[0]]
F[120,x,k[0]] = F[119,x,k[0]]*F[28,x,k[0]]
F[120,x,k[0]] = F[53,x,k[0]]
F[122,x,k[0]] = F[121,x,k[0]]+F[147,x,k[0]]
F[123,x,k[0]] = F[122,x,k[0]]*F[28,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]
F[124,x,k[0]] = F[125,x,k[0]]
F[125,x,k[0]] = F[126,x,k[0]]*F[28,x,k[0]]
F[126,x,k[0]] = F[127,x,k[0]]+F[145,x,k[0]]
F[127,x,k[0]] = F[128,x,k[0]]+F[129,x]
F[128,x,k[0]] = F[13,x]+F[86,x,k[0]]
F[129,x] = F[130,x]
F[130,x] = F[12,x]*F[131,x]
F[131,x] = F[132,x,1]
F[132,x,k[0]] = F[133,x,k[0]]+F[142,x]
F[133,x,k[0]] = F[134,x,k[0]]+F[139,x,k[0]]
F[134,x,k[0]] = F[135,x,k[0]]+F[63,x,k[0]]
F[135,x,k[0]] = F[128,x,k[0]]+F[136,x,k[0]]
F[136,x,k[0]] = F[137,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]*F[28,x,k[0]]
F[138,x,k[0]] = F[89,x,k[0],1]
F[140,x,k[0]] = F[135,x,k[0]]+F[139,x,k[0]]
F[141,x,k[0]] = F[140,x,k[0]]*F[28,x,k[0]]
F[141,x,k[0]] = F[124,x,k[0]]
F[142,x] = -F[144,x]+F[143,x]
F[143,x] = F[83,x,1]
F[144,x] = F[7,x]+F[84,x]
F[145,x,k[0]] = k[0]*F[146,x,k[0]]
F[146,x,k[0]] = F[92,x,k[0],1]
F[147,x,k[0]] = F[139,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]
F[149,x,k[0]] = F[21,x]*F[45,x,k[0]]
F[150,x,k[0]] = F[1,x]+F[151,x,k[0]]
F[151,x,k[0]] = F[152,x,k[0]]
F[152,x,k[0]] = F[150,x,k[0]]*F[28,x,k[0]]
F[95,x,k[0],k[1]] = F[153,x,k[0],k[1]]+F[154,x,k[0],k[1]]
F[154,x,k[0],k[1]] = F[155,x,k[0],k[1]]
F[155,x,k[0],k[1]] = F[150,x,k[0]]*F[156,x,k[0],k[1]]
F[156,x,k[0],k[1]] = F[157,x,k[1]]+F[51,x,k[0],k[1]]
F[157,x,k[0]] = F[110,x,k[0]]+F[44,x,k[0]]
F[158,x,k[0],k[1]] = F[159,x,k[0],k[1]]+F[219,x,k[0],k[1]]
F[159,x,k[0],k[1]] = F[160,x,k[0],k[1]]
F[161,x,k[0],k[1]] = F[160,x,k[0],k[1]]+F[214,x,k[0],k[1]]
F[161,x,k[0],k[1]] = F[162,x,k[0]]+F[176,x,k[0],k[1]]
F[162,x,k[0]] = F[163,x,k[0]]
F[163,x,k[0]] = F[164,x]+F[167,x,k[0]]
F[164,x] = F[165,x]+F[9,x]
F[165,x] = F[14,x]+F[166,x]
F[166,x] = F[53,x,1]
F[167,x,k[0]] = F[168,x,k[0]]
F[168,x,k[0]] = F[169,x,k[0]]*F[28,x,k[0]]
F[169,x,k[0]] = F[170,x,k[0]]+F[175,x,k[0]]
F[170,x,k[0]] = F[150,x,k[0]]*F[171,x]
F[171,x] = F[172,x,1]
F[172,x,k[0]] = F[173,x,k[0]]+F[174,x,k[0]]
F[173,x,k[0]] = F[0,x]+F[41,x,k[0]]
F[174,x,k[0]] = F[15,x,k[0]]+F[166,x]
F[175,x,k[0]] = F[159,x,k[0],1]
F[176,x,k[0],k[1]] = F[177,x,k[0],k[1]]
F[178,x,k[0],k[1]] = (F[177,x,k[0],k[1]]*k[0]-F[177,x,1,k[1]])/(-1+k[0])
F[178,x,k[0],k[1]] = F[179,x,k[0],k[1]]
F[180,x,k[0],k[1]] = F[179,x,k[0],k[1]]+F[203,x,k[0]]
F[95,x,k[0],k[1]] = F[180,x,k[0],k[1]]+F[181,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[12,x]*F[181,x,k[0],k[1]]
F[182,x,k[0],k[1]] = F[183,x,k[0],k[1]]
F[183,x,k[0],k[1]] = F[184,x,k[0],k[1]]+F[200,x,k[0],k[1]]
F[184,x,k[0],k[1]] = 1/(-1+k[1])*(F[185,x,k[0],k[1]]*k[1]-F[185,x,k[0],1])
F[185,x,k[0],k[1]] = F[186,x,k[0],k[1]]+F[195,x,k[0],k[1]]
F[186,x,k[0],k[1]] = F[187,x,k[0],k[1]]
F[187,x,k[0],k[1]] = F[12,x]*F[188,x,k[0]]*F[194,x,k[1]]
F[188,x,k[0]] = F[189,x,k[0]]
F[189,x,k[0]] = F[190,x,k[0]]*F[28,x,k[0]]
F[190,x,k[0]] = F[150,x,k[0]]+F[191,x,k[0]]
F[191,x,k[0]] = F[188,x,k[0]]+F[192,x,k[0]]
F[192,x,k[0]] = F[193,x,k[0]]
F[193,x,k[0]] = F[191,x,k[0]]*F[28,x,k[0]]
F[194,x,k[0]] = F[1,x]+F[26,x,k[0]]
F[195,x,k[0],k[1]] = F[196,x,k[0],k[1]]
F[196,x,k[0],k[1]] = F[12,x]*F[197,x,k[0],k[1]]
F[197,x,k[0],k[1]] = F[198,x,k[0],k[1]]+F[87,x,k[0],k[1]]
F[198,x,k[0],k[1]] = F[199,x,k[0]]+F[35,x,k[0],k[1]]
F[53,x,k[0]] = F[188,x,k[0]]+F[199,x,k[0]]
F[200,x,k[0],k[1]] = F[201,x,k[0],k[1]]
F[201,x,k[0],k[1]] = F[202,x,k[0],k[1]]*F[28,x,k[0]]
F[202,x,k[0],k[1]] = 1/(-1+k[1])*(F[183,x,k[0],k[1]]*k[1]-F[183,x,k[0],1])
F[203,x,k[0]] = F[139,x,k[0]]+F[204,x,k[0]]
F[118,x,k[0]] = F[204,x,k[0]]+F[205,x,k[0]]
F[205,x,k[0]] = F[206,x,k[0]]
F[207,x,k[0]] = F[206,x,k[0]]+F[209,x,k[0]]
F[207,x,k[0]] = F[142,x]+F[208,x,k[0]]
F[208,x,k[0]] = F[118,x,k[0]]+F[147,x,k[0]]
F[132,x,k[0]] = F[209,x,k[0]]+F[210,x,k[0]]
F[210,x,k[0]] = F[211,x,k[0]]+F[85,x,k[0]]
F[211,x,k[0]] = F[212,x,k[0]]
F[212,x,k[0]] = F[213,x,k[0]]*F[28,x,k[0]]
F[213,x,k[0]] = F[181,x,k[0],1]
F[214,x,k[0],k[1]] = F[172,x,k[1]]*F[215,x,k[0]]
F[215,x,k[0]] = F[1,x]+F[216,x,k[0]]
F[216,x,k[0]] = F[217,x,k[0]]
F[217,x,k[0]] = F[215,x,k[0]]*F[218,x,k[0]]
F[218,x,k[0]] = k[0]*x
F[220,x,k[0],k[1]] = F[12,x]*F[219,x,k[0],k[1]]
F[220,x,k[0],k[1]] = F[221,x,k[0],k[1]]
F[183,x,k[0],k[1]] = F[221,x,k[0],k[1]]+F[222,x,k[0],k[1]]
F[222,x,k[0],k[1]] = F[150,x,k[0]]*F[185,x,k[0],k[1]]
F[223,x] = F[224,x]
F[224,x] = F[12,x]*F[225,x]
F[225,x] = F[226,x,1]
F[226,x,k[0]] = F[95,x,1,k[0]]
F[227,x,k[0]] = F[228,x,k[0]]
F[228,x,k[0]] = k[0]*F[229,x,k[0]]
F[229,x,k[0]] = F[230,x,k[0]]
F[230,x,k[0]] = F[12,x]*F[226,x,k[0]]
F[231,x,k[0],k[1]] = F[232,x,k[0],k[1]]
F[232,x,k[0],k[1]] = F[233,x,k[0],k[1]]*F[28,x,k[0]]
F[233,x,k[0],k[1]] = F[234,x,k[0],k[1]]+F[237,x,k[0],k[1]]
F[234,x,k[0],k[1]] = F[235,x,k[0],k[1]]
F[235,x,k[0],k[1]] = F[12,x]*F[236,x,k[0],k[1]]
F[236,x,k[0],k[1]] = -k[1]*(F[38,x,k[0],1]-F[38,x,k[0],k[1]])/(-1+k[1])
F[237,x,k[0],k[1]] = F[238,x,k[0],k[1]]
F[238,x,k[0],k[1]] = F[239,x,1,k[0],k[1]]
F[239,x,k[0],k[1],k[2]] = -k[2]*(F[67,x,k[0],k[1],1]-F[67,x,k[0],k[1],k[2]])/(-1+k[2])
F[240,x,k[0],k[1]] = k[0]*F[241,x,k[0],k[1]]
F[241,x,k[0],k[1]] = F[242,x,k[0],k[1]]
F[242,x,k[0],k[1]] = F[12,x]*F[243,x,k[0],k[1]]
F[244,x,k[0],k[1],k[2]] = F[239,x,k[0],k[1],k[2]]+F[243,x,k[1],k[2]]
F[245,x,k[0],k[1],k[2]] = F[244,x,k[0],k[1],k[2]]+F[249,x,k[0],k[1],k[2]]
F[246,x,k[0],k[1],k[2]] = F[245,x,k[0],k[1],k[2]]*F[28,x,k[1]]
F[246,x,k[0],k[1],k[2]] = F[247,x,k[0],k[1],k[2]]
F[247,x,k[0],k[1],k[2]] = F[248,x,k[0],k[1],k[2]]+F[36,x,k[1],k[2]]
F[248,x,k[0],k[1],k[2]] = k[0]*F[231,x,k[2],k[2]]
F[249,x,k[0],k[1],k[2]] = k[0]*F[250,x,k[2],k[2]]
F[250,x,k[0],k[1]] = F[251,x,k[0],k[1]]
F[251,x,k[0],k[1]] = F[12,x]*F[252,x,k[0],k[1]]
F[252,x,k[0],k[1]] = -k[1]*(F[243,x,k[0],1]-F[243,x,k[0],k[1]])/(-1+k[1])
F[254,x,k[0],k[1]] = F[253,x,k[0],k[1]]+F[498,x,k[0]]
F[255,x,k[0],k[1]] = F[254,x,k[0],k[1]]+F[497,x,k[0],k[1]]
F[255,x,k[0],k[1]] = F[256,x,k[0],k[1]]
F[256,x,k[0],k[1]] = F[12,x]*F[257,x,k[0],k[1]]
F[257,x,k[0],k[1]] = F[258,x,k[0],k[1]]+F[494,x,k[0],k[1]]
F[259,x,k[0],k[1]] = F[258,x,k[0],k[1]]*F[28,x,k[0]]
F[259,x,k[0],k[1]] = F[260,x,k[0],k[1]]
F[260,x,k[0],k[1]] = F[261,x,k[0],k[1]]+F[404,x,k[0],k[1]]
F[261,x,k[0],k[1]] = F[262,x,k[0]]+F[271,x,k[0],k[1]]
F[262,x,k[0]] = F[263,x,k[0]]
F[263,x,k[0]] = F[264,x,k[0]]*F[28,x,k[0]]
F[264,x,k[0]] = F[265,x,k[0],1]
F[265,x,k[0],k[1]] = F[266,x,k[0],k[0]*k[1]]
F[266,x,k[0],k[1]] = F[267,x,k[0],k[1]]
F[268,x,k[0],k[1]] = F[12,x]*F[267,x,k[0],k[1]]
F[268,x,k[0],k[1]] = F[269,x,k[0],k[1]]
F[269,x,k[0],k[1]] = F[270,x,k[1]]+F[66,x,k[0],k[1]]
F[270,x,k[0]] = F[10,x]+F[58,x,k[0]]
F[271,x,k[0],k[1]] = -k[0]*(F[272,x,1,k[1]]-F[272,x,k[0],k[1]])/(-1+k[0])
F[273,x,k[0],k[1]] = F[272,x,k[0],k[1]]+F[41,x,k[1]]
F[273,x,k[0],k[1]] = F[274,x,k[0],k[1]]
F[274,x,k[0],k[1]] = F[275,x,k[0],k[1]]*F[28,x,k[1]]
F[275,x,k[0],k[1]] = F[276,x,k[0],k[1]]+F[327,x,k[0],k[1]]
F[276,x,k[0],k[1]] = F[277,x,k[0]]+F[279,x,k[0],k[1]]
F[277,x,k[0]] = F[278,x,k[0]]+F[4,x]
F[278,x,k[0]] = F[124,x,k[0]]+F[53,x,k[0]]
F[279,x,k[0],k[1]] = k[1]*F[280,x,k[0]]
F[281,x,k[0]] = F[277,x,k[0]]+F[280,x,k[0]]
F[282,x,k[0]] = F[281,x,k[0]]+F[295,x,k[0]]
F[282,x,k[0]] = F[283,x,k[0]]+F[290,x,k[0]]
F[283,x,k[0]] = F[277,x,k[0]]+F[284,x,k[0]]
F[284,x,k[0]] = F[285,x,k[0]]
F[285,x,k[0]] = F[286,x]+F[288,x,k[0]]
F[286,x] = F[14,x]+F[287,x]
F[287,x] = F[41,x,1]
F[288,x,k[0]] = k[0]*F[289,x]
F[289,x] = F[14,x]
F[290,x,k[0]] = F[291,x]+F[292,x,k[0]]
F[291,x] = F[47,x,1]
F[292,x,k[0]] = k[0]*F[293,x]
F[293,x] = F[294,x]
F[294,x] = F[12,x]*F[84,x]
F[295,x,k[0]] = F[296,x]+F[302,x,k[0]]
F[296,x] = F[286,x]+F[297,x]
F[297,x] = -F[298,x]+F[291,x]
F[298,x] = F[299,x]+F[300,x]
F[299,x] = F[3,x]
F[300,x] = F[301,x]
F[301,x] = F[115,x]*F[12,x]
F[302,x,k[0]] = k[0]*F[303,x]
F[303,x] = F[304,x]
F[304,x] = F[12,x]*F[305,x]
F[305,x] = F[306,x,1]
F[306,x,k[0]] = F[307,x,k[0]]
F[308,x,k[0]] = F[307,x,k[0]]+F[319,x,k[0]]
F[308,x,k[0]] = F[309,x,k[0]]+F[312,x,k[0]]
F[309,x,k[0]] = F[310,x,k[0]]+F[7,x]
F[310,x,k[0]] = F[311,x,k[0]]
F[311,x,k[0]] = F[243,x,1,k[0]]
F[312,x,k[0]] = F[313,x,k[0]]
F[313,x,k[0]] = k[0]*F[314,x,k[0]]
F[314,x,k[0]] = F[315,x,1,k[0]]
F[315,x,k[0],k[1]] = F[316,x,k[0],k[1]]
F[316,x,k[0],k[1]] = F[12,x]*F[317,x,k[0],k[1]]
F[317,x,k[0],k[1]] = F[318,x,k[0],k[1]]+F[89,x,k[0],k[1]]
F[318,x,k[0],k[1]] = F[243,x,k[0],k[1]]+F[63,x,k[0]]
F[319,x,k[0]] = F[320,x,k[0]]+F[7,x]
F[320,x,k[0]] = F[321,x,k[0]]
F[321,x,k[0]] = k[0]*F[322,x]
F[322,x] = F[323,x]
F[323,x] = F[12,x]*F[324,x]
F[324,x] = F[325,x]+F[326,x]
F[325,x] = F[204,x,1]
F[326,x] = F[210,x,1]
F[327,x,k[0],k[1]] = F[328,x,k[1]]+F[403,x,k[0],k[1]]
F[43,x,k[0]] = F[328,x,k[0]]+F[329,x,k[0]]
F[330,x,k[0]] = F[329,x,k[0]]+F[395,x,k[0]]
F[330,x,k[0]] = F[331,x]+F[393,x,k[0]]
F[331,x] = F[332,x]+F[384,x]
F[332,x] = F[333,x]
F[333,x] = F[334,x]+F[347,x]
F[334,x] = F[1,x]+F[335,x]
F[335,x] = F[336,x]
F[336,x] = F[12,x]*F[337,x]
F[337,x] = F[338,x]+F[339,x]
F[338,x] = F[1,x]+F[12,x]
F[339,x] = F[335,x]+F[340,x]
F[340,x] = F[341,x]+F[342,x]+F[346,x]
F[341,x] = 0
F[342,x] = F[12,x]*F[343,x]
F[343,x] = F[344,x]+F[345,x]
F[344,x] = F[12,x]
F[345,x] = F[340,x]
F[346,x] = F[12,x]*F[335,x]
F[347,x] = F[348,x]+F[350,x]
F[348,x] = F[349,x]
F[349,x] = F[12,x]*F[333,x]
F[350,x] = F[341,x]+F[351,x]+F[380,x]
F[351,x] = F[12,x]*F[352,x]
F[352,x] = F[353,x]+F[354,x]
F[353,x] = F[12,x]+F[340,x]
F[354,x] = F[355,x]+F[357,x]
F[355,x] = F[341,x]+F[351,x]+F[356,x]
F[356,x] = F[12,x]*F[348,x]
F[357,x] = F[341,x]+F[358,x]+F[359,x]+F[368,x]
F[358,x] = 0
F[359,x] = F[12,x]*F[360,x]
F[360,x] = F[361,x]+F[362,x]
F[361,x] = F[355,x]
F[362,x] = F[363,x]
F[363,x] = 2*F[341,x]+F[364,x]+F[368,x]
F[364,x] = F[12,x]*F[365,x]
F[365,x] = F[366,x]+F[367,x]
F[366,x] = F[355,x]
F[367,x] = F[363,x]
F[368,x] = F[12,x]*F[369,x]
F[369,x] = F[370,x]
F[370,x] = F[12,x]*F[371,x]
F[371,x] = F[372,x]+F[374,x]
F[372,x] = F[348,x]+F[373,x]
F[373,x] = F[356,x]
F[374,x] = F[369,x]+F[375,x]
F[375,x] = 2*F[341,x]+F[368,x]+F[376,x]
F[376,x] = F[12,x]*F[377,x]
F[377,x] = F[378,x]+F[379,x]
F[378,x] = F[373,x]
F[379,x] = F[375,x]
F[380,x] = F[12,x]*F[381,x]
F[381,x] = F[382,x]+F[383,x]
F[382,x] = F[348,x]+F[355,x]
F[383,x] = F[363,x]+F[369,x]
F[384,x] = -F[388,x]+F[385,x]
F[385,x] = 1/F[12,x]*F[386,x]
F[386,x] = F[387,x]
F[387,x] = -F[348,x]+F[5,x]
F[388,x] = F[389,x]+F[390,x]
F[389,x] = F[10,x]+F[14,x]
F[390,x] = F[391,x]
F[391,x] = F[12,x]*F[392,x]
F[392,x] = F[142,x]
F[393,x,k[0]] = k[0]*F[394,x]
F[394,x] = F[280,x,1]
F[396,x,k[0]] = F[395,x,k[0]]+F[401,x,k[0]]
F[396,x,k[0]] = F[397,x,k[0]]
F[397,x,k[0]] = F[12,x]*F[398,x,k[0]]
F[398,x,k[0]] = F[312,x,k[0]]+F[399,x,k[0]]
F[399,x,k[0]] = F[310,x,k[0]]+F[400,x]
F[400,x] = F[133,x,1]
F[401,x,k[0]] = F[402,x,k[0]]
F[402,x,k[0]] = F[12,x]*F[306,x,k[0]]
F[403,x,k[0],k[1]] = k[0]*F[401,x,k[1]]
F[404,x,k[0],k[1]] = F[405,x,k[0],k[1]]
F[405,x,k[0],k[1]] = F[28,x,k[1]]*F[406,x,k[0],k[1]]
F[406,x,k[0],k[1]] = -k[0]*(F[407,x,1,k[1]]-F[407,x,k[0],k[1]])/(-1+k[0])
F[407,x,k[0],k[1]] = F[260,x,k[0],k[1]]+F[408,x,k[0],k[1]]
F[408,x,k[0],k[1]] = k[1]*F[409,x,k[0],k[1]]
F[409,x,k[0],k[1]] = F[410,x,k[0],k[1]]
F[410,x,k[0],k[1]] = F[28,x,k[0]]*F[411,x,k[0],k[1]]
F[412,x,k[0],k[1]] = F[150,x,k[0]]*F[28,x,k[0]]*F[411,x,k[0],k[1]]*F[493,x,k[0]]
F[412,x,k[0],k[1]] = F[413,x,k[0],k[1]]
F[414,x,k[0],k[1]] = F[413,x,k[0],k[1]]+F[443,x,k[0],k[1]]
F[415,x,k[0],k[1]] = F[414,x,k[0],k[1]]+F[417,x,k[0],k[1]]
F[416,x,k[0],k[1]] = F[12,x]*F[415,x,k[0],k[1]]
F[416,x,k[0],k[1]] = F[195,x,k[0],k[1]]
F[417,x,k[0],k[1]] = F[188,x,k[0]]*F[418,x,k[1]]
F[418,x,k[0]] = F[419,x,k[0]]
F[419,x,k[0]] = F[12,x]*F[420,x,k[0]]
F[420,x,k[0]] = F[421,x,k[0]]+F[438,x,k[0]]
F[421,x,k[0]] = F[332,x]+F[422,x,k[0]]
F[422,x,k[0]] = F[423,x,k[0]]
F[423,x,k[0]] = F[26,x,k[0]]*F[424,x]
F[424,x] = F[425,x]
F[425,x] = F[426,x]+F[427,x]
F[426,x] = F[334,x]
F[427,x] = F[12,x]+F[428,x]
F[428,x] = F[341,x]+F[429,x]+F[430,x]
F[429,x] = F[12,x]*F[21,x]
F[430,x] = F[12,x]*F[431,x]
F[431,x] = F[432,x]+F[435,x]
F[432,x] = F[12,x]+F[433,x]
F[433,x] = F[434,x]
F[434,x] = F[12,x]*F[432,x]
F[435,x] = F[428,x]+F[436,x]
F[436,x] = F[437,x]
F[437,x] = F[12,x]*F[435,x]
F[438,x,k[0]] = F[384,x]+F[439,x,k[0]]
F[439,x,k[0]] = F[440,x,k[0]]+F[442,x,k[0]]
F[440,x,k[0]] = F[34,x,k[0]]+F[441,x,k[0]]
F[41,x,k[0]] = F[26,x,k[0]]+F[441,x,k[0]]
F[442,x,k[0]] = F[34,x,k[0]]
F[443,x,k[0],k[1]] = F[188,x,k[0]]*F[444,x,k[1]]
F[445,x,k[0]] = F[17,x]*F[444,x,k[0]]
F[446,x,k[0]] = F[445,x,k[0]]+F[482,x,k[0]]
F[446,x,k[0]] = F[447,x,k[0],1]
F[448,x,k[0],k[1]] = F[447,x,k[0],k[1]]+F[477,x,k[0]]
F[449,x,k[0],k[1]] = F[448,x,k[0],k[1]]+F[463,x,k[0],k[1]]
F[450,x,k[0],k[1]] = F[449,x,k[0],k[1]]+F[461,x,k[0],k[1]]
F[451,x,k[0],k[1]] = F[12,x]*F[450,x,k[0],k[1]]
F[451,x,k[0],k[1]] = F[452,x,k[0],k[1]]
F[452,x,k[0],k[1]] = F[453,x,k[0]]+F[459,x,k[0],k[1]]
F[453,x,k[0]] = F[454,x,k[0]]
F[454,x,k[0]] = F[12,x]*F[455,x,k[0]]
F[455,x,k[0]] = F[438,x,k[0]]+F[456,x,k[0]]
F[456,x,k[0]] = F[457,x,k[0]]
F[457,x,k[0]] = F[12,x]*F[458,x,k[0]]
F[458,x,k[0]] = F[258,x,1,k[0]]
F[459,x,k[0],k[1]] = k[1]*F[460,x,k[0]]
F[460,x,k[0]] = F[195,x,1,k[0]]
F[461,x,k[0],k[1]] = F[17,x]*F[462,x,k[0],k[1]]
F[462,x,k[0],k[1]] = k[1]*F[418,x,k[0]]
F[463,x,k[0],k[1]] = F[464,x,k[0],k[1]]
F[464,x,k[0],k[1]] = F[12,x]*F[465,x,k[0],k[1]]
F[466,x,k[0],k[1]] = F[12,x]*F[465,x,k[0],k[1]]
F[466,x,k[0],k[1]] = F[467,x,k[0],k[1]]
F[467,x,k[0],k[1]] = F[456,x,k[0]]+F[468,x,k[0],k[1]]
F[468,x,k[0],k[1]] = k[1]*F[469,x,k[0]]
F[469,x,k[0]] = F[470,x,1,k[0]]
F[471,x,k[0],k[1]] = F[470,x,k[0],k[1]]+F[473,x,k[0],k[1]]
F[472,x,k[0],k[1]] = F[28,x,k[0]]*F[471,x,k[0],k[1]]
F[472,x,k[0],k[1]] = F[185,x,k[0],k[1]]
F[473,x,k[0],k[1]] = F[474,x,k[0],k[1]]+F[48,x,k[0],k[1]]
F[474,x,k[0],k[1]] = k[0]*F[475,x,k[0],k[1]]
F[475,x,k[0],k[1]] = F[476,x,k[0],k[1]]
F[476,x,k[0],k[1]] = F[12,x]*F[315,x,k[0],k[1]]
F[478,x,k[0]] = F[477,x,k[0]]+F[480,x,k[0]]
F[479,x,k[0]] = F[12,x]*F[478,x,k[0]]
F[479,x,k[0]] = F[453,x,k[0]]
F[480,x,k[0]] = F[481,x,k[0]]
F[481,x,k[0]] = F[12,x]*F[458,x,k[0]]
F[482,x,k[0]] = F[483,x,k[0]]
F[484,x,k[0]] = F[483,x,k[0]]+F[488,x,k[0]]
F[484,x,k[0]] = F[485,x,k[0]]
F[485,x,k[0]] = F[12,x]*F[20,x]*F[426,x]*F[486,x,k[0]]
F[487,x,k[0]] = F[12,x]*F[486,x,k[0]]
F[487,x,k[0]] = F[488,x,k[0]]
F[488,x,k[0]] = F[489,x,k[0],1]
F[489,x,k[0],k[1]] = F[490,x,k[0],k[1]]
F[491,x,k[0],k[1]] = F[447,x,k[0],k[1]]+F[490,x,k[0],k[1]]
F[450,x,k[0],k[1]] = F[491,x,k[0],k[1]]+F[492,x,k[0],k[1]]
F[492,x,k[0],k[1]] = F[461,x,k[0],k[1]]+F[478,x,k[0]]
F[493,x,k[0]] = F[1,x]+F[188,x,k[0]]
F[494,x,k[0],k[1]] = k[1]*F[495,x,k[0],k[1]]
F[496,x,k[0],k[1]] = F[28,x,k[0]]*F[495,x,k[0],k[1]]
F[496,x,k[0],k[1]] = F[409,x,k[0],k[1]]
F[497,x,k[0],k[1]] = k[1]*F[470,x,k[0],k[1]]
F[498,x,k[0]] = F[270,x,k[0]]+F[499,x,k[0]]
F[499,x,k[0]] = k[0]*F[65,x,k[0]]
F[500,x,k[0],k[1]] = F[188,x,k[0]]*F[26,x,k[1]]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{12}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{129}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{13}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right) F_{7}\! \left(x \right)
F_{12}\! \left(x \right) = x
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{5}\! \left(x \right)
F_{14}\! \left(x \right) = F_{15}\! \left(x , 1\right)
F_{15}\! \left(x , y_{0}\right) = F_{16}\! \left(x , y_{0}\right)+F_{34}\! \left(x , y_{0}\right)
F_{16}\! \left(x , y_{0}\right) = F_{17}\! \left(x \right) F_{26}\! \left(x , y_{0}\right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)
F_{18}\! \left(x \right) = F_{12}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{20}\! \left(x \right)+F_{23}\! \left(x \right)
F_{20}\! \left(x \right) = F_{1}\! \left(x \right)+F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{23}\! \left(x \right) = F_{17}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{12}\! \left(x \right) F_{23}\! \left(x \right)
F_{26}\! \left(x , y_{0}\right) = F_{27}\! \left(x , y_{0}\right)
F_{27}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{29}\! \left(x , y_{0}\right)
F_{28}\! \left(x , y_{0}\right) = y_{0} x
F_{29}\! \left(x , y_{0}\right) = F_{30}\! \left(x , y_{0}\right)+F_{31}\! \left(x , y_{0}\right)
F_{30}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{28}\! \left(x , y_{0}\right)
F_{31}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right)+F_{32}\! \left(x , y_{0}\right)
F_{32}\! \left(x , y_{0}\right) = F_{33}\! \left(x , y_{0}\right)
F_{33}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{34}\! \left(x , y_{0}\right) = F_{35}\! \left(x , 1, y_{0}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{35}\! \left(x , y_{0}, y_{1}\right)+F_{500}\! \left(x , y_{0}, y_{1}\right)
F_{36}\! \left(x , y_{0}, y_{1}\right) = F_{37}\! \left(x , y_{0}, y_{1}\right)
F_{37}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{38}\! \left(x , y_{0}, y_{1}\right)
F_{38}\! \left(x , y_{0}, y_{1}\right) = F_{253}\! \left(x , y_{0}, y_{1}\right)+F_{39}\! \left(x , y_{0}, y_{1}\right)
F_{39}\! \left(x , y_{0}, y_{1}\right) = F_{240}\! \left(x , y_{0}, y_{1}\right)+F_{40}\! \left(x , y_{0}, y_{1}\right)
F_{40}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{0}, y_{1}\right)+F_{41}\! \left(x , y_{1}\right)
F_{41}\! \left(x , y_{0}\right) = F_{42}\! \left(x , y_{0}\right)
F_{42}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{43}\! \left(x , y_{0}\right)
F_{43}\! \left(x , y_{0}\right) = F_{44}\! \left(x , y_{0}\right)+F_{46}\! \left(x , y_{0}\right)
F_{44}\! \left(x , y_{0}\right) = F_{4}\! \left(x \right)+F_{45}\! \left(x , y_{0}\right)
F_{45}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right)+F_{41}\! \left(x , y_{0}\right)
F_{46}\! \left(x , y_{0}\right) = y_{0} F_{47}\! \left(x , y_{0}\right)
F_{47}\! \left(x , y_{0}\right) = F_{48}\! \left(x , 1, y_{0}\right)
F_{48}\! \left(x , y_{0}, y_{1}\right) = F_{49}\! \left(x , y_{0}, y_{1}\right)
F_{49}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{50}\! \left(x , y_{0}, y_{1}\right)
F_{50}\! \left(x , y_{0}, y_{1}\right) = F_{44}\! \left(x , y_{1}\right)+F_{51}\! \left(x , y_{0}, y_{1}\right)
F_{51}\! \left(x , y_{0}, y_{1}\right) = F_{52}\! \left(x , y_{0}, y_{1}\right)+F_{87}\! \left(x , y_{0}, y_{1}\right)
F_{52}\! \left(x , y_{0}, y_{1}\right) = F_{36}\! \left(x , y_{0}, y_{1}\right)+F_{53}\! \left(x , y_{0}\right)
F_{53}\! \left(x , y_{0}\right) = F_{54}\! \left(x , y_{0}\right)
F_{54}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{55}\! \left(x , y_{0}\right)
F_{55}\! \left(x , y_{0}\right) = F_{56}\! \left(x , y_{0}\right)+F_{59}\! \left(x , y_{0}\right)
F_{56}\! \left(x , y_{0}\right) = F_{57}\! \left(x , y_{0}\right)+F_{9}\! \left(x \right)
F_{57}\! \left(x , y_{0}\right) = F_{53}\! \left(x , y_{0}\right)+F_{58}\! \left(x , y_{0}\right)
F_{58}\! \left(x , y_{0}\right) = F_{36}\! \left(x , y_{0}, 1\right)
F_{59}\! \left(x , y_{0}\right) = y_{0} F_{60}\! \left(x , y_{0}\right)
F_{60}\! \left(x , y_{0}\right) = F_{61}\! \left(x , y_{0}\right)+F_{65}\! \left(x , y_{0}\right)
F_{61}\! \left(x , y_{0}\right) = F_{62}\! \left(x , y_{0}\right)
F_{62}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{63}\! \left(x , y_{0}\right)
F_{64}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{63}\! \left(x , y_{0}\right)
F_{64}\! \left(x , y_{0}\right) = F_{53}\! \left(x , y_{0}\right)
F_{65}\! \left(x , y_{0}\right) = F_{66}\! \left(x , 1, y_{0}\right)
F_{66}\! \left(x , y_{0}, y_{1}\right) = F_{67}\! \left(x , y_{0}, y_{1}, 1\right)
F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{68}\! \left(x , y_{2}, y_{2}\right)
F_{68}\! \left(x , y_{0}, y_{1}\right) = F_{231}\! \left(x , y_{0}, y_{1}\right)+F_{69}\! \left(x , y_{1}\right)
F_{69}\! \left(x , y_{0}\right) = F_{70}\! \left(x , y_{0}\right)
F_{70}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{71}\! \left(x , y_{0}\right)
F_{71}\! \left(x , y_{0}\right) = F_{72}\! \left(x , y_{0}\right)
F_{72}\! \left(x , y_{0}\right) = F_{28}\! \left(x , y_{0}\right) F_{73}\! \left(x , y_{0}\right)
F_{73}\! \left(x , y_{0}\right) = F_{227}\! \left(x , y_{0}\right)+F_{74}\! \left(x , y_{0}\right)
F_{74}\! \left(x , y_{0}\right) = F_{75}\! \left(x , y_{0}\right)+F_{79}\! \left(x , y_{0}\right)
F_{75}\! \left(x , y_{0}\right) = F_{76}\! \left(x , y_{0}\right)+F_{77}\! \left(x , y_{0}\right)
F_{76}\! \left(x , y_{0}\right) = F_{71}\! \left(x , y_{0}\right)+F_{9}\! \left(x \right)
F_{77}\! \left(x , y_{0}\right) = -\frac{-F_{78}\! \left(x , y_{0}\right) y_{0}+F_{78}\! \left(x , 1\right)}{-1+y_{0}}
F_{78}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right)+F_{5}\! \left(x \right)
F_{79}\! \left(x , y_{0}\right) = F_{80}\! \left(x , y_{0}\right)
F_{80}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{81}\! \left(x , y_{0}\right)
F_{81}\! \left(x , y_{0}\right) = -\frac{-F_{82}\! \left(x , y_{0}\right) y_{0}+F_{82}\! \left(x , 1\right)}{-1+y_{0}}
F_{82}\! \left(x , y_{0}\right) = F_{223}\! \left(x \right)+F_{83}\! \left(x , y_{0}\right)
F_{83}\! \left(x , y_{0}\right) = F_{74}\! \left(x , y_{0}\right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{85}\! \left(x , 1\right)
F_{85}\! \left(x , y_{0}\right) = F_{57}\! \left(x , y_{0}\right)+F_{86}\! \left(x , y_{0}\right)
F_{86}\! \left(x , y_{0}\right) = F_{87}\! \left(x , y_{0}, 1\right)
F_{87}\! \left(x , y_{0}, y_{1}\right) = F_{88}\! \left(x , y_{0}, y_{1}\right)
F_{88}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{89}\! \left(x , y_{0}, y_{1}\right)
F_{90}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{89}\! \left(x , y_{0}, y_{1}\right)
F_{91}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{90}\! \left(x , y_{0}, y_{1}\right)
F_{91}\! \left(x , y_{0}, y_{1}\right) = F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{93}\! \left(x , y_{0}, y_{1}\right) = F_{105}\! \left(x , y_{0}, y_{1}\right)+F_{92}\! \left(x , y_{0}, y_{1}\right)
F_{93}\! \left(x , y_{0}, y_{1}\right) = F_{94}\! \left(x , y_{0}, y_{1}\right)
F_{94}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{95}\! \left(x , y_{0}, y_{1}\right)
F_{96}\! \left(x , y_{0}, y_{1}\right) = F_{97}\! \left(x , y_{0}, y_{1}\right)
F_{97}\! \left(x , y_{0}, y_{1}\right) = F_{102}\! \left(x , y_{0}, y_{1}\right)+F_{98}\! \left(x , y_{0}, y_{1}\right)
F_{98}\! \left(x , y_{0}, y_{1}\right) = F_{99}\! \left(x , y_{0}, y_{1}\right)
F_{99}\! \left(x , y_{0}, y_{1}\right) = F_{100}\! \left(x , y_{0}, y_{1}\right) F_{12}\! \left(x \right)
F_{100}\! \left(x , y_{0}, y_{1}\right) = F_{101}\! \left(x , y_{0}, y_{1}\right)+F_{74}\! \left(x , y_{1}\right)
F_{101}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{51}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{51}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{102}\! \left(x , y_{0}, y_{1}\right) = F_{103}\! \left(x , y_{0}, y_{1}\right)
F_{103}\! \left(x , y_{0}, y_{1}\right) = F_{104}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{104}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{97}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{97}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{105}\! \left(x , y_{0}, y_{1}\right) = F_{61}\! \left(x , y_{0}\right)+F_{68}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{106}\! \left(x , y_{0}, y_{1}\right)+F_{158}\! \left(x , y_{0}, y_{1}\right)
F_{107}\! \left(x , y_{0}, y_{1}\right) = F_{108}\! \left(x , y_{0}, y_{1}\right)+F_{153}\! \left(x , y_{0}, y_{1}\right)
F_{108}\! \left(x , y_{0}, y_{1}\right) = F_{109}\! \left(x , y_{0}, y_{1}\right)
F_{109}\! \left(x , y_{0}, y_{1}\right) = F_{110}\! \left(x , y_{1}\right) F_{150}\! \left(x , y_{0}\right)
F_{110}\! \left(x , y_{0}\right) = F_{111}\! \left(x \right)+F_{148}\! \left(x , y_{0}\right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{12}\! \left(x \right) F_{20}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{115}\! \left(x \right)
F_{114}\! \left(x \right) = F_{111}\! \left(x \right)+F_{4}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x , 1\right)
F_{118}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right)+F_{121}\! \left(x , y_{0}\right)
F_{120}\! \left(x , y_{0}\right) = F_{119}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{120}\! \left(x , y_{0}\right) = F_{53}\! \left(x , y_{0}\right)
F_{122}\! \left(x , y_{0}\right) = F_{121}\! \left(x , y_{0}\right)+F_{147}\! \left(x , y_{0}\right)
F_{123}\! \left(x , y_{0}\right) = F_{122}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{123}\! \left(x , y_{0}\right) = F_{124}\! \left(x , y_{0}\right)
F_{124}\! \left(x , y_{0}\right) = F_{125}\! \left(x , y_{0}\right)
F_{125}\! \left(x , y_{0}\right) = F_{126}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{126}\! \left(x , y_{0}\right) = F_{127}\! \left(x , y_{0}\right)+F_{145}\! \left(x , y_{0}\right)
F_{127}\! \left(x , y_{0}\right) = F_{128}\! \left(x , y_{0}\right)+F_{129}\! \left(x \right)
F_{128}\! \left(x , y_{0}\right) = F_{13}\! \left(x \right)+F_{86}\! \left(x , y_{0}\right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{12}\! \left(x \right) F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x , 1\right)
F_{132}\! \left(x , y_{0}\right) = F_{133}\! \left(x , y_{0}\right)+F_{142}\! \left(x \right)
F_{133}\! \left(x , y_{0}\right) = F_{134}\! \left(x , y_{0}\right)+F_{139}\! \left(x , y_{0}\right)
F_{134}\! \left(x , y_{0}\right) = F_{135}\! \left(x , y_{0}\right)+F_{63}\! \left(x , y_{0}\right)
F_{135}\! \left(x , y_{0}\right) = F_{128}\! \left(x , y_{0}\right)+F_{136}\! \left(x , y_{0}\right)
F_{136}\! \left(x , y_{0}\right) = F_{137}\! \left(x , y_{0}\right)
F_{137}\! \left(x , y_{0}\right) = F_{138}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{138}\! \left(x , y_{0}\right) = F_{89}\! \left(x , y_{0}, 1\right)
F_{140}\! \left(x , y_{0}\right) = F_{135}\! \left(x , y_{0}\right)+F_{139}\! \left(x , y_{0}\right)
F_{141}\! \left(x , y_{0}\right) = F_{140}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{141}\! \left(x , y_{0}\right) = F_{124}\! \left(x , y_{0}\right)
F_{142}\! \left(x \right) = -F_{144}\! \left(x \right)+F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{83}\! \left(x , 1\right)
F_{144}\! \left(x \right) = F_{7}\! \left(x \right)+F_{84}\! \left(x \right)
F_{145}\! \left(x , y_{0}\right) = y_{0} F_{146}\! \left(x , y_{0}\right)
F_{146}\! \left(x , y_{0}\right) = F_{92}\! \left(x , y_{0}, 1\right)
F_{147}\! \left(x , y_{0}\right) = F_{139}\! \left(x , y_{0}\right)
F_{148}\! \left(x , y_{0}\right) = F_{149}\! \left(x , y_{0}\right)
F_{149}\! \left(x , y_{0}\right) = F_{21}\! \left(x \right) F_{45}\! \left(x , y_{0}\right)
F_{150}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{151}\! \left(x , y_{0}\right)
F_{151}\! \left(x , y_{0}\right) = F_{152}\! \left(x , y_{0}\right)
F_{152}\! \left(x , y_{0}\right) = F_{150}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{153}\! \left(x , y_{0}, y_{1}\right)+F_{154}\! \left(x , y_{0}, y_{1}\right)
F_{154}\! \left(x , y_{0}, y_{1}\right) = F_{155}\! \left(x , y_{0}, y_{1}\right)
F_{155}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}\right) F_{156}\! \left(x , y_{0}, y_{1}\right)
F_{156}\! \left(x , y_{0}, y_{1}\right) = F_{157}\! \left(x , y_{1}\right)+F_{51}\! \left(x , y_{0}, y_{1}\right)
F_{157}\! \left(x , y_{0}\right) = F_{110}\! \left(x , y_{0}\right)+F_{44}\! \left(x , y_{0}\right)
F_{158}\! \left(x , y_{0}, y_{1}\right) = F_{159}\! \left(x , y_{0}, y_{1}\right)+F_{219}\! \left(x , y_{0}, y_{1}\right)
F_{159}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right)
F_{161}\! \left(x , y_{0}, y_{1}\right) = F_{160}\! \left(x , y_{0}, y_{1}\right)+F_{214}\! \left(x , y_{0}, y_{1}\right)
F_{161}\! \left(x , y_{0}, y_{1}\right) = F_{162}\! \left(x , y_{0}\right)+F_{176}\! \left(x , y_{0}, y_{1}\right)
F_{162}\! \left(x , y_{0}\right) = F_{163}\! \left(x , y_{0}\right)
F_{163}\! \left(x , y_{0}\right) = F_{164}\! \left(x \right)+F_{167}\! \left(x , y_{0}\right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{9}\! \left(x \right)
F_{165}\! \left(x \right) = F_{14}\! \left(x \right)+F_{166}\! \left(x \right)
F_{166}\! \left(x \right) = F_{53}\! \left(x , 1\right)
F_{167}\! \left(x , y_{0}\right) = F_{168}\! \left(x , y_{0}\right)
F_{168}\! \left(x , y_{0}\right) = F_{169}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{169}\! \left(x , y_{0}\right) = F_{170}\! \left(x , y_{0}\right)+F_{175}\! \left(x , y_{0}\right)
F_{170}\! \left(x , y_{0}\right) = F_{150}\! \left(x , y_{0}\right) F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x , 1\right)
F_{172}\! \left(x , y_{0}\right) = F_{173}\! \left(x , y_{0}\right)+F_{174}\! \left(x , y_{0}\right)
F_{173}\! \left(x , y_{0}\right) = F_{0}\! \left(x \right)+F_{41}\! \left(x , y_{0}\right)
F_{174}\! \left(x , y_{0}\right) = F_{15}\! \left(x , y_{0}\right)+F_{166}\! \left(x \right)
F_{175}\! \left(x , y_{0}\right) = F_{159}\! \left(x , y_{0}, 1\right)
F_{176}\! \left(x , y_{0}, y_{1}\right) = F_{177}\! \left(x , y_{0}, y_{1}\right)
F_{178}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{0} F_{177}\! \left(x , y_{0}, y_{1}\right)+F_{177}\! \left(x , 1, y_{1}\right)}{-1+y_{0}}
F_{178}\! \left(x , y_{0}, y_{1}\right) = F_{179}\! \left(x , y_{0}, y_{1}\right)
F_{180}\! \left(x , y_{0}, y_{1}\right) = F_{179}\! \left(x , y_{0}, y_{1}\right)+F_{203}\! \left(x , y_{0}\right)
F_{95}\! \left(x , y_{0}, y_{1}\right) = F_{180}\! \left(x , y_{0}, y_{1}\right)+F_{181}\! \left(x , y_{0}, y_{1}\right)
F_{182}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{181}\! \left(x , y_{0}, y_{1}\right)
F_{182}\! \left(x , y_{0}, y_{1}\right) = F_{183}\! \left(x , y_{0}, y_{1}\right)
F_{183}\! \left(x , y_{0}, y_{1}\right) = F_{184}\! \left(x , y_{0}, y_{1}\right)+F_{200}\! \left(x , y_{0}, y_{1}\right)
F_{184}\! \left(x , y_{0}, y_{1}\right) = -\frac{-F_{185}\! \left(x , y_{0}, y_{1}\right) y_{1}+F_{185}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{185}\! \left(x , y_{0}, y_{1}\right) = F_{186}\! \left(x , y_{0}, y_{1}\right)+F_{195}\! \left(x , y_{0}, y_{1}\right)
F_{186}\! \left(x , y_{0}, y_{1}\right) = F_{187}\! \left(x , y_{0}, y_{1}\right)
F_{187}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{188}\! \left(x , y_{0}\right) F_{194}\! \left(x , y_{1}\right)
F_{188}\! \left(x , y_{0}\right) = F_{189}\! \left(x , y_{0}\right)
F_{189}\! \left(x , y_{0}\right) = F_{190}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{190}\! \left(x , y_{0}\right) = F_{150}\! \left(x , y_{0}\right)+F_{191}\! \left(x , y_{0}\right)
F_{191}\! \left(x , y_{0}\right) = F_{188}\! \left(x , y_{0}\right)+F_{192}\! \left(x , y_{0}\right)
F_{192}\! \left(x , y_{0}\right) = F_{193}\! \left(x , y_{0}\right)
F_{193}\! \left(x , y_{0}\right) = F_{191}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{194}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{26}\! \left(x , y_{0}\right)
F_{195}\! \left(x , y_{0}, y_{1}\right) = F_{196}\! \left(x , y_{0}, y_{1}\right)
F_{196}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{197}\! \left(x , y_{0}, y_{1}\right)
F_{197}\! \left(x , y_{0}, y_{1}\right) = F_{198}\! \left(x , y_{0}, y_{1}\right)+F_{87}\! \left(x , y_{0}, y_{1}\right)
F_{198}\! \left(x , y_{0}, y_{1}\right) = F_{199}\! \left(x , y_{0}\right)+F_{35}\! \left(x , y_{0}, y_{1}\right)
F_{53}\! \left(x , y_{0}\right) = F_{188}\! \left(x , y_{0}\right)+F_{199}\! \left(x , y_{0}\right)
F_{200}\! \left(x , y_{0}, y_{1}\right) = F_{201}\! \left(x , y_{0}, y_{1}\right)
F_{201}\! \left(x , y_{0}, y_{1}\right) = F_{202}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{202}\! \left(x , y_{0}, y_{1}\right) = -\frac{-y_{1} F_{183}\! \left(x , y_{0}, y_{1}\right)+F_{183}\! \left(x , y_{0}, 1\right)}{-1+y_{1}}
F_{203}\! \left(x , y_{0}\right) = F_{139}\! \left(x , y_{0}\right)+F_{204}\! \left(x , y_{0}\right)
F_{118}\! \left(x , y_{0}\right) = F_{204}\! \left(x , y_{0}\right)+F_{205}\! \left(x , y_{0}\right)
F_{205}\! \left(x , y_{0}\right) = F_{206}\! \left(x , y_{0}\right)
F_{207}\! \left(x , y_{0}\right) = F_{206}\! \left(x , y_{0}\right)+F_{209}\! \left(x , y_{0}\right)
F_{207}\! \left(x , y_{0}\right) = F_{142}\! \left(x \right)+F_{208}\! \left(x , y_{0}\right)
F_{208}\! \left(x , y_{0}\right) = F_{118}\! \left(x , y_{0}\right)+F_{147}\! \left(x , y_{0}\right)
F_{132}\! \left(x , y_{0}\right) = F_{209}\! \left(x , y_{0}\right)+F_{210}\! \left(x , y_{0}\right)
F_{210}\! \left(x , y_{0}\right) = F_{211}\! \left(x , y_{0}\right)+F_{85}\! \left(x , y_{0}\right)
F_{211}\! \left(x , y_{0}\right) = F_{212}\! \left(x , y_{0}\right)
F_{212}\! \left(x , y_{0}\right) = F_{213}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{213}\! \left(x , y_{0}\right) = F_{181}\! \left(x , y_{0}, 1\right)
F_{214}\! \left(x , y_{0}, y_{1}\right) = F_{172}\! \left(x , y_{1}\right) F_{215}\! \left(x , y_{0}\right)
F_{215}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{216}\! \left(x , y_{0}\right)
F_{216}\! \left(x , y_{0}\right) = F_{217}\! \left(x , y_{0}\right)
F_{217}\! \left(x , y_{0}\right) = F_{215}\! \left(x , y_{0}\right) F_{218}\! \left(x , y_{0}\right)
F_{218}\! \left(x , y_{0}\right) = y_{0} x
F_{220}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{219}\! \left(x , y_{0}, y_{1}\right)
F_{220}\! \left(x , y_{0}, y_{1}\right) = F_{221}\! \left(x , y_{0}, y_{1}\right)
F_{183}\! \left(x , y_{0}, y_{1}\right) = F_{221}\! \left(x , y_{0}, y_{1}\right)+F_{222}\! \left(x , y_{0}, y_{1}\right)
F_{222}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}\right) F_{185}\! \left(x , y_{0}, y_{1}\right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)
F_{224}\! \left(x \right) = F_{12}\! \left(x \right) F_{225}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x , 1\right)
F_{226}\! \left(x , y_{0}\right) = F_{95}\! \left(x , 1, y_{0}\right)
F_{227}\! \left(x , y_{0}\right) = F_{228}\! \left(x , y_{0}\right)
F_{228}\! \left(x , y_{0}\right) = y_{0} F_{229}\! \left(x , y_{0}\right)
F_{229}\! \left(x , y_{0}\right) = F_{230}\! \left(x , y_{0}\right)
F_{230}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{226}\! \left(x , y_{0}\right)
F_{231}\! \left(x , y_{0}, y_{1}\right) = F_{232}\! \left(x , y_{0}, y_{1}\right)
F_{232}\! \left(x , y_{0}, y_{1}\right) = F_{233}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{233}\! \left(x , y_{0}, y_{1}\right) = F_{234}\! \left(x , y_{0}, y_{1}\right)+F_{237}\! \left(x , y_{0}, y_{1}\right)
F_{234}\! \left(x , y_{0}, y_{1}\right) = F_{235}\! \left(x , y_{0}, y_{1}\right)
F_{235}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{236}\! \left(x , y_{0}, y_{1}\right)
F_{236}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{38}\! \left(x , y_{0}, 1\right)-F_{38}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{237}\! \left(x , y_{0}, y_{1}\right) = F_{238}\! \left(x , y_{0}, y_{1}\right)
F_{238}\! \left(x , y_{0}, y_{1}\right) = F_{239}\! \left(x , 1, y_{0}, y_{1}\right)
F_{239}\! \left(x , y_{0}, y_{1}, y_{2}\right) = -\frac{y_{2} \left(F_{67}\! \left(x , y_{0}, y_{1}, 1\right)-F_{67}\! \left(x , y_{0}, y_{1}, y_{2}\right)\right)}{-1+y_{2}}
F_{240}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{241}\! \left(x , y_{0}, y_{1}\right)
F_{241}\! \left(x , y_{0}, y_{1}\right) = F_{242}\! \left(x , y_{0}, y_{1}\right)
F_{242}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{243}\! \left(x , y_{0}, y_{1}\right)
F_{244}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{239}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{243}\! \left(x , y_{1}, y_{2}\right)
F_{245}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{244}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{249}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{246}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{245}\! \left(x , y_{0}, y_{1}, y_{2}\right) F_{28}\! \left(x , y_{1}\right)
F_{246}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{247}\! \left(x , y_{0}, y_{1}, y_{2}\right)
F_{247}\! \left(x , y_{0}, y_{1}, y_{2}\right) = F_{248}\! \left(x , y_{0}, y_{1}, y_{2}\right)+F_{36}\! \left(x , y_{1}, y_{2}\right)
F_{248}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{231}\! \left(x , y_{2}, y_{2}\right)
F_{249}\! \left(x , y_{0}, y_{1}, y_{2}\right) = y_{0} F_{250}\! \left(x , y_{2}, y_{2}\right)
F_{250}\! \left(x , y_{0}, y_{1}\right) = F_{251}\! \left(x , y_{0}, y_{1}\right)
F_{251}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{252}\! \left(x , y_{0}, y_{1}\right)
F_{252}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{1} \left(F_{243}\! \left(x , y_{0}, 1\right)-F_{243}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{1}}
F_{254}\! \left(x , y_{0}, y_{1}\right) = F_{253}\! \left(x , y_{0}, y_{1}\right)+F_{498}\! \left(x , y_{0}\right)
F_{255}\! \left(x , y_{0}, y_{1}\right) = F_{254}\! \left(x , y_{0}, y_{1}\right)+F_{497}\! \left(x , y_{0}, y_{1}\right)
F_{255}\! \left(x , y_{0}, y_{1}\right) = F_{256}\! \left(x , y_{0}, y_{1}\right)
F_{256}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{257}\! \left(x , y_{0}, y_{1}\right)
F_{257}\! \left(x , y_{0}, y_{1}\right) = F_{258}\! \left(x , y_{0}, y_{1}\right)+F_{494}\! \left(x , y_{0}, y_{1}\right)
F_{259}\! \left(x , y_{0}, y_{1}\right) = F_{258}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{0}\right)
F_{259}\! \left(x , y_{0}, y_{1}\right) = F_{260}\! \left(x , y_{0}, y_{1}\right)
F_{260}\! \left(x , y_{0}, y_{1}\right) = F_{261}\! \left(x , y_{0}, y_{1}\right)+F_{404}\! \left(x , y_{0}, y_{1}\right)
F_{261}\! \left(x , y_{0}, y_{1}\right) = F_{262}\! \left(x , y_{0}\right)+F_{271}\! \left(x , y_{0}, y_{1}\right)
F_{262}\! \left(x , y_{0}\right) = F_{263}\! \left(x , y_{0}\right)
F_{263}\! \left(x , y_{0}\right) = F_{264}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right)
F_{264}\! \left(x , y_{0}\right) = F_{265}\! \left(x , y_{0}, 1\right)
F_{265}\! \left(x , y_{0}, y_{1}\right) = F_{266}\! \left(x , y_{0}, y_{0} y_{1}\right)
F_{266}\! \left(x , y_{0}, y_{1}\right) = F_{267}\! \left(x , y_{0}, y_{1}\right)
F_{268}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{267}\! \left(x , y_{0}, y_{1}\right)
F_{268}\! \left(x , y_{0}, y_{1}\right) = F_{269}\! \left(x , y_{0}, y_{1}\right)
F_{269}\! \left(x , y_{0}, y_{1}\right) = F_{270}\! \left(x , y_{1}\right)+F_{66}\! \left(x , y_{0}, y_{1}\right)
F_{270}\! \left(x , y_{0}\right) = F_{10}\! \left(x \right)+F_{58}\! \left(x , y_{0}\right)
F_{271}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{272}\! \left(x , 1, y_{1}\right)-F_{272}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{273}\! \left(x , y_{0}, y_{1}\right) = F_{272}\! \left(x , y_{0}, y_{1}\right)+F_{41}\! \left(x , y_{1}\right)
F_{273}\! \left(x , y_{0}, y_{1}\right) = F_{274}\! \left(x , y_{0}, y_{1}\right)
F_{274}\! \left(x , y_{0}, y_{1}\right) = F_{275}\! \left(x , y_{0}, y_{1}\right) F_{28}\! \left(x , y_{1}\right)
F_{275}\! \left(x , y_{0}, y_{1}\right) = F_{276}\! \left(x , y_{0}, y_{1}\right)+F_{327}\! \left(x , y_{0}, y_{1}\right)
F_{276}\! \left(x , y_{0}, y_{1}\right) = F_{277}\! \left(x , y_{0}\right)+F_{279}\! \left(x , y_{0}, y_{1}\right)
F_{277}\! \left(x , y_{0}\right) = F_{278}\! \left(x , y_{0}\right)+F_{4}\! \left(x \right)
F_{278}\! \left(x , y_{0}\right) = F_{124}\! \left(x , y_{0}\right)+F_{53}\! \left(x , y_{0}\right)
F_{279}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{280}\! \left(x , y_{0}\right)
F_{281}\! \left(x , y_{0}\right) = F_{277}\! \left(x , y_{0}\right)+F_{280}\! \left(x , y_{0}\right)
F_{282}\! \left(x , y_{0}\right) = F_{281}\! \left(x , y_{0}\right)+F_{295}\! \left(x , y_{0}\right)
F_{282}\! \left(x , y_{0}\right) = F_{283}\! \left(x , y_{0}\right)+F_{290}\! \left(x , y_{0}\right)
F_{283}\! \left(x , y_{0}\right) = F_{277}\! \left(x , y_{0}\right)+F_{284}\! \left(x , y_{0}\right)
F_{284}\! \left(x , y_{0}\right) = F_{285}\! \left(x , y_{0}\right)
F_{285}\! \left(x , y_{0}\right) = F_{286}\! \left(x \right)+F_{288}\! \left(x , y_{0}\right)
F_{286}\! \left(x \right) = F_{14}\! \left(x \right)+F_{287}\! \left(x \right)
F_{287}\! \left(x \right) = F_{41}\! \left(x , 1\right)
F_{288}\! \left(x , y_{0}\right) = y_{0} F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{14}\! \left(x \right)
F_{290}\! \left(x , y_{0}\right) = F_{291}\! \left(x \right)+F_{292}\! \left(x , y_{0}\right)
F_{291}\! \left(x \right) = F_{47}\! \left(x , 1\right)
F_{292}\! \left(x , y_{0}\right) = y_{0} F_{293}\! \left(x \right)
F_{293}\! \left(x \right) = F_{294}\! \left(x \right)
F_{294}\! \left(x \right) = F_{12}\! \left(x \right) F_{84}\! \left(x \right)
F_{295}\! \left(x , y_{0}\right) = F_{296}\! \left(x \right)+F_{302}\! \left(x , y_{0}\right)
F_{296}\! \left(x \right) = F_{286}\! \left(x \right)+F_{297}\! \left(x \right)
F_{297}\! \left(x \right) = -F_{298}\! \left(x \right)+F_{291}\! \left(x \right)
F_{298}\! \left(x \right) = F_{299}\! \left(x \right)+F_{300}\! \left(x \right)
F_{299}\! \left(x \right) = F_{3}\! \left(x \right)
F_{300}\! \left(x \right) = F_{301}\! \left(x \right)
F_{301}\! \left(x \right) = F_{115}\! \left(x \right) F_{12}\! \left(x \right)
F_{302}\! \left(x , y_{0}\right) = y_{0} F_{303}\! \left(x \right)
F_{303}\! \left(x \right) = F_{304}\! \left(x \right)
F_{304}\! \left(x \right) = F_{12}\! \left(x \right) F_{305}\! \left(x \right)
F_{305}\! \left(x \right) = F_{306}\! \left(x , 1\right)
F_{306}\! \left(x , y_{0}\right) = F_{307}\! \left(x , y_{0}\right)
F_{308}\! \left(x , y_{0}\right) = F_{307}\! \left(x , y_{0}\right)+F_{319}\! \left(x , y_{0}\right)
F_{308}\! \left(x , y_{0}\right) = F_{309}\! \left(x , y_{0}\right)+F_{312}\! \left(x , y_{0}\right)
F_{309}\! \left(x , y_{0}\right) = F_{310}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)
F_{310}\! \left(x , y_{0}\right) = F_{311}\! \left(x , y_{0}\right)
F_{311}\! \left(x , y_{0}\right) = F_{243}\! \left(x , 1, y_{0}\right)
F_{312}\! \left(x , y_{0}\right) = F_{313}\! \left(x , y_{0}\right)
F_{313}\! \left(x , y_{0}\right) = y_{0} F_{314}\! \left(x , y_{0}\right)
F_{314}\! \left(x , y_{0}\right) = F_{315}\! \left(x , 1, y_{0}\right)
F_{315}\! \left(x , y_{0}, y_{1}\right) = F_{316}\! \left(x , y_{0}, y_{1}\right)
F_{316}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{317}\! \left(x , y_{0}, y_{1}\right)
F_{317}\! \left(x , y_{0}, y_{1}\right) = F_{318}\! \left(x , y_{0}, y_{1}\right)+F_{89}\! \left(x , y_{0}, y_{1}\right)
F_{318}\! \left(x , y_{0}, y_{1}\right) = F_{243}\! \left(x , y_{0}, y_{1}\right)+F_{63}\! \left(x , y_{0}\right)
F_{319}\! \left(x , y_{0}\right) = F_{320}\! \left(x , y_{0}\right)+F_{7}\! \left(x \right)
F_{320}\! \left(x , y_{0}\right) = F_{321}\! \left(x , y_{0}\right)
F_{321}\! \left(x , y_{0}\right) = y_{0} F_{322}\! \left(x \right)
F_{322}\! \left(x \right) = F_{323}\! \left(x \right)
F_{323}\! \left(x \right) = F_{12}\! \left(x \right) F_{324}\! \left(x \right)
F_{324}\! \left(x \right) = F_{325}\! \left(x \right)+F_{326}\! \left(x \right)
F_{325}\! \left(x \right) = F_{204}\! \left(x , 1\right)
F_{326}\! \left(x \right) = F_{210}\! \left(x , 1\right)
F_{327}\! \left(x , y_{0}, y_{1}\right) = F_{328}\! \left(x , y_{1}\right)+F_{403}\! \left(x , y_{0}, y_{1}\right)
F_{43}\! \left(x , y_{0}\right) = F_{328}\! \left(x , y_{0}\right)+F_{329}\! \left(x , y_{0}\right)
F_{330}\! \left(x , y_{0}\right) = F_{329}\! \left(x , y_{0}\right)+F_{395}\! \left(x , y_{0}\right)
F_{330}\! \left(x , y_{0}\right) = F_{331}\! \left(x \right)+F_{393}\! \left(x , y_{0}\right)
F_{331}\! \left(x \right) = F_{332}\! \left(x \right)+F_{384}\! \left(x \right)
F_{332}\! \left(x \right) = F_{333}\! \left(x \right)
F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{347}\! \left(x \right)
F_{334}\! \left(x \right) = F_{1}\! \left(x \right)+F_{335}\! \left(x \right)
F_{335}\! \left(x \right) = F_{336}\! \left(x \right)
F_{336}\! \left(x \right) = F_{12}\! \left(x \right) F_{337}\! \left(x \right)
F_{337}\! \left(x \right) = F_{338}\! \left(x \right)+F_{339}\! \left(x \right)
F_{338}\! \left(x \right) = F_{1}\! \left(x \right)+F_{12}\! \left(x \right)
F_{339}\! \left(x \right) = F_{335}\! \left(x \right)+F_{340}\! \left(x \right)
F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{342}\! \left(x \right)+F_{346}\! \left(x \right)
F_{341}\! \left(x \right) = 0
F_{342}\! \left(x \right) = F_{12}\! \left(x \right) F_{343}\! \left(x \right)
F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{345}\! \left(x \right)
F_{344}\! \left(x \right) = F_{12}\! \left(x \right)
F_{345}\! \left(x \right) = F_{340}\! \left(x \right)
F_{346}\! \left(x \right) = F_{12}\! \left(x \right) F_{335}\! \left(x \right)
F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{350}\! \left(x \right)
F_{348}\! \left(x \right) = F_{349}\! \left(x \right)
F_{349}\! \left(x \right) = F_{12}\! \left(x \right) F_{333}\! \left(x \right)
F_{350}\! \left(x \right) = F_{341}\! \left(x \right)+F_{351}\! \left(x \right)+F_{380}\! \left(x \right)
F_{351}\! \left(x \right) = F_{12}\! \left(x \right) F_{352}\! \left(x \right)
F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{354}\! \left(x \right)
F_{353}\! \left(x \right) = F_{12}\! \left(x \right)+F_{340}\! \left(x \right)
F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{357}\! \left(x \right)
F_{355}\! \left(x \right) = F_{341}\! \left(x \right)+F_{351}\! \left(x \right)+F_{356}\! \left(x \right)
F_{356}\! \left(x \right) = F_{12}\! \left(x \right) F_{348}\! \left(x \right)
F_{357}\! \left(x \right) = F_{341}\! \left(x \right)+F_{358}\! \left(x \right)+F_{359}\! \left(x \right)+F_{368}\! \left(x \right)
F_{358}\! \left(x \right) = 0
F_{359}\! \left(x \right) = F_{12}\! \left(x \right) F_{360}\! \left(x \right)
F_{360}\! \left(x \right) = F_{361}\! \left(x \right)+F_{362}\! \left(x \right)
F_{361}\! \left(x \right) = F_{355}\! \left(x \right)
F_{362}\! \left(x \right) = F_{363}\! \left(x \right)
F_{363}\! \left(x \right) = 2 F_{341}\! \left(x \right)+F_{364}\! \left(x \right)+F_{368}\! \left(x \right)
F_{364}\! \left(x \right) = F_{12}\! \left(x \right) F_{365}\! \left(x \right)
F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{367}\! \left(x \right)
F_{366}\! \left(x \right) = F_{355}\! \left(x \right)
F_{367}\! \left(x \right) = F_{363}\! \left(x \right)
F_{368}\! \left(x \right) = F_{12}\! \left(x \right) F_{369}\! \left(x \right)
F_{369}\! \left(x \right) = F_{370}\! \left(x \right)
F_{370}\! \left(x \right) = F_{12}\! \left(x \right) F_{371}\! \left(x \right)
F_{371}\! \left(x \right) = F_{372}\! \left(x \right)+F_{374}\! \left(x \right)
F_{372}\! \left(x \right) = F_{348}\! \left(x \right)+F_{373}\! \left(x \right)
F_{373}\! \left(x \right) = F_{356}\! \left(x \right)
F_{374}\! \left(x \right) = F_{369}\! \left(x \right)+F_{375}\! \left(x \right)
F_{375}\! \left(x \right) = 2 F_{341}\! \left(x \right)+F_{368}\! \left(x \right)+F_{376}\! \left(x \right)
F_{376}\! \left(x \right) = F_{12}\! \left(x \right) F_{377}\! \left(x \right)
F_{377}\! \left(x \right) = F_{378}\! \left(x \right)+F_{379}\! \left(x \right)
F_{378}\! \left(x \right) = F_{373}\! \left(x \right)
F_{379}\! \left(x \right) = F_{375}\! \left(x \right)
F_{380}\! \left(x \right) = F_{12}\! \left(x \right) F_{381}\! \left(x \right)
F_{381}\! \left(x \right) = F_{382}\! \left(x \right)+F_{383}\! \left(x \right)
F_{382}\! \left(x \right) = F_{348}\! \left(x \right)+F_{355}\! \left(x \right)
F_{383}\! \left(x \right) = F_{363}\! \left(x \right)+F_{369}\! \left(x \right)
F_{384}\! \left(x \right) = -F_{388}\! \left(x \right)+F_{385}\! \left(x \right)
F_{385}\! \left(x \right) = \frac{F_{386}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{386}\! \left(x \right) = F_{387}\! \left(x \right)
F_{387}\! \left(x \right) = -F_{348}\! \left(x \right)+F_{5}\! \left(x \right)
F_{388}\! \left(x \right) = F_{389}\! \left(x \right)+F_{390}\! \left(x \right)
F_{389}\! \left(x \right) = F_{10}\! \left(x \right)+F_{14}\! \left(x \right)
F_{390}\! \left(x \right) = F_{391}\! \left(x \right)
F_{391}\! \left(x \right) = F_{12}\! \left(x \right) F_{392}\! \left(x \right)
F_{392}\! \left(x \right) = F_{142}\! \left(x \right)
F_{393}\! \left(x , y_{0}\right) = y_{0} F_{394}\! \left(x \right)
F_{394}\! \left(x \right) = F_{280}\! \left(x , 1\right)
F_{396}\! \left(x , y_{0}\right) = F_{395}\! \left(x , y_{0}\right)+F_{401}\! \left(x , y_{0}\right)
F_{396}\! \left(x , y_{0}\right) = F_{397}\! \left(x , y_{0}\right)
F_{397}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{398}\! \left(x , y_{0}\right)
F_{398}\! \left(x , y_{0}\right) = F_{312}\! \left(x , y_{0}\right)+F_{399}\! \left(x , y_{0}\right)
F_{399}\! \left(x , y_{0}\right) = F_{310}\! \left(x , y_{0}\right)+F_{400}\! \left(x \right)
F_{400}\! \left(x \right) = F_{133}\! \left(x , 1\right)
F_{401}\! \left(x , y_{0}\right) = F_{402}\! \left(x , y_{0}\right)
F_{402}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{306}\! \left(x , y_{0}\right)
F_{403}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{401}\! \left(x , y_{1}\right)
F_{404}\! \left(x , y_{0}, y_{1}\right) = F_{405}\! \left(x , y_{0}, y_{1}\right)
F_{405}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{1}\right) F_{406}\! \left(x , y_{0}, y_{1}\right)
F_{406}\! \left(x , y_{0}, y_{1}\right) = -\frac{y_{0} \left(F_{407}\! \left(x , 1, y_{1}\right)-F_{407}\! \left(x , y_{0}, y_{1}\right)\right)}{-1+y_{0}}
F_{407}\! \left(x , y_{0}, y_{1}\right) = F_{260}\! \left(x , y_{0}, y_{1}\right)+F_{408}\! \left(x , y_{0}, y_{1}\right)
F_{408}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{409}\! \left(x , y_{0}, y_{1}\right)
F_{409}\! \left(x , y_{0}, y_{1}\right) = F_{410}\! \left(x , y_{0}, y_{1}\right)
F_{410}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{411}\! \left(x , y_{0}, y_{1}\right)
F_{412}\! \left(x , y_{0}, y_{1}\right) = F_{150}\! \left(x , y_{0}\right) F_{28}\! \left(x , y_{0}\right) F_{411}\! \left(x , y_{0}, y_{1}\right) F_{493}\! \left(x , y_{0}\right)
F_{412}\! \left(x , y_{0}, y_{1}\right) = F_{413}\! \left(x , y_{0}, y_{1}\right)
F_{414}\! \left(x , y_{0}, y_{1}\right) = F_{413}\! \left(x , y_{0}, y_{1}\right)+F_{443}\! \left(x , y_{0}, y_{1}\right)
F_{415}\! \left(x , y_{0}, y_{1}\right) = F_{414}\! \left(x , y_{0}, y_{1}\right)+F_{417}\! \left(x , y_{0}, y_{1}\right)
F_{416}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{415}\! \left(x , y_{0}, y_{1}\right)
F_{416}\! \left(x , y_{0}, y_{1}\right) = F_{195}\! \left(x , y_{0}, y_{1}\right)
F_{417}\! \left(x , y_{0}, y_{1}\right) = F_{188}\! \left(x , y_{0}\right) F_{418}\! \left(x , y_{1}\right)
F_{418}\! \left(x , y_{0}\right) = F_{419}\! \left(x , y_{0}\right)
F_{419}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{420}\! \left(x , y_{0}\right)
F_{420}\! \left(x , y_{0}\right) = F_{421}\! \left(x , y_{0}\right)+F_{438}\! \left(x , y_{0}\right)
F_{421}\! \left(x , y_{0}\right) = F_{332}\! \left(x \right)+F_{422}\! \left(x , y_{0}\right)
F_{422}\! \left(x , y_{0}\right) = F_{423}\! \left(x , y_{0}\right)
F_{423}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right) F_{424}\! \left(x \right)
F_{424}\! \left(x \right) = F_{425}\! \left(x \right)
F_{425}\! \left(x \right) = F_{426}\! \left(x \right)+F_{427}\! \left(x \right)
F_{426}\! \left(x \right) = F_{334}\! \left(x \right)
F_{427}\! \left(x \right) = F_{12}\! \left(x \right)+F_{428}\! \left(x \right)
F_{428}\! \left(x \right) = F_{341}\! \left(x \right)+F_{429}\! \left(x \right)+F_{430}\! \left(x \right)
F_{429}\! \left(x \right) = F_{12}\! \left(x \right) F_{21}\! \left(x \right)
F_{430}\! \left(x \right) = F_{12}\! \left(x \right) F_{431}\! \left(x \right)
F_{431}\! \left(x \right) = F_{432}\! \left(x \right)+F_{435}\! \left(x \right)
F_{432}\! \left(x \right) = F_{12}\! \left(x \right)+F_{433}\! \left(x \right)
F_{433}\! \left(x \right) = F_{434}\! \left(x \right)
F_{434}\! \left(x \right) = F_{12}\! \left(x \right) F_{432}\! \left(x \right)
F_{435}\! \left(x \right) = F_{428}\! \left(x \right)+F_{436}\! \left(x \right)
F_{436}\! \left(x \right) = F_{437}\! \left(x \right)
F_{437}\! \left(x \right) = F_{12}\! \left(x \right) F_{435}\! \left(x \right)
F_{438}\! \left(x , y_{0}\right) = F_{384}\! \left(x \right)+F_{439}\! \left(x , y_{0}\right)
F_{439}\! \left(x , y_{0}\right) = F_{440}\! \left(x , y_{0}\right)+F_{442}\! \left(x , y_{0}\right)
F_{440}\! \left(x , y_{0}\right) = F_{34}\! \left(x , y_{0}\right)+F_{441}\! \left(x , y_{0}\right)
F_{41}\! \left(x , y_{0}\right) = F_{26}\! \left(x , y_{0}\right)+F_{441}\! \left(x , y_{0}\right)
F_{442}\! \left(x , y_{0}\right) = F_{34}\! \left(x , y_{0}\right)
F_{443}\! \left(x , y_{0}, y_{1}\right) = F_{188}\! \left(x , y_{0}\right) F_{444}\! \left(x , y_{1}\right)
F_{445}\! \left(x , y_{0}\right) = F_{17}\! \left(x \right) F_{444}\! \left(x , y_{0}\right)
F_{446}\! \left(x , y_{0}\right) = F_{445}\! \left(x , y_{0}\right)+F_{482}\! \left(x , y_{0}\right)
F_{446}\! \left(x , y_{0}\right) = F_{447}\! \left(x , y_{0}, 1\right)
F_{448}\! \left(x , y_{0}, y_{1}\right) = F_{447}\! \left(x , y_{0}, y_{1}\right)+F_{477}\! \left(x , y_{0}\right)
F_{449}\! \left(x , y_{0}, y_{1}\right) = F_{448}\! \left(x , y_{0}, y_{1}\right)+F_{463}\! \left(x , y_{0}, y_{1}\right)
F_{450}\! \left(x , y_{0}, y_{1}\right) = F_{449}\! \left(x , y_{0}, y_{1}\right)+F_{461}\! \left(x , y_{0}, y_{1}\right)
F_{451}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{450}\! \left(x , y_{0}, y_{1}\right)
F_{451}\! \left(x , y_{0}, y_{1}\right) = F_{452}\! \left(x , y_{0}, y_{1}\right)
F_{452}\! \left(x , y_{0}, y_{1}\right) = F_{453}\! \left(x , y_{0}\right)+F_{459}\! \left(x , y_{0}, y_{1}\right)
F_{453}\! \left(x , y_{0}\right) = F_{454}\! \left(x , y_{0}\right)
F_{454}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{455}\! \left(x , y_{0}\right)
F_{455}\! \left(x , y_{0}\right) = F_{438}\! \left(x , y_{0}\right)+F_{456}\! \left(x , y_{0}\right)
F_{456}\! \left(x , y_{0}\right) = F_{457}\! \left(x , y_{0}\right)
F_{457}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{458}\! \left(x , y_{0}\right)
F_{458}\! \left(x , y_{0}\right) = F_{258}\! \left(x , 1, y_{0}\right)
F_{459}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{460}\! \left(x , y_{0}\right)
F_{460}\! \left(x , y_{0}\right) = F_{195}\! \left(x , 1, y_{0}\right)
F_{461}\! \left(x , y_{0}, y_{1}\right) = F_{17}\! \left(x \right) F_{462}\! \left(x , y_{0}, y_{1}\right)
F_{462}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{418}\! \left(x , y_{0}\right)
F_{463}\! \left(x , y_{0}, y_{1}\right) = F_{464}\! \left(x , y_{0}, y_{1}\right)
F_{464}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{465}\! \left(x , y_{0}, y_{1}\right)
F_{466}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{465}\! \left(x , y_{0}, y_{1}\right)
F_{466}\! \left(x , y_{0}, y_{1}\right) = F_{467}\! \left(x , y_{0}, y_{1}\right)
F_{467}\! \left(x , y_{0}, y_{1}\right) = F_{456}\! \left(x , y_{0}\right)+F_{468}\! \left(x , y_{0}, y_{1}\right)
F_{468}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{469}\! \left(x , y_{0}\right)
F_{469}\! \left(x , y_{0}\right) = F_{470}\! \left(x , 1, y_{0}\right)
F_{471}\! \left(x , y_{0}, y_{1}\right) = F_{470}\! \left(x , y_{0}, y_{1}\right)+F_{473}\! \left(x , y_{0}, y_{1}\right)
F_{472}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{471}\! \left(x , y_{0}, y_{1}\right)
F_{472}\! \left(x , y_{0}, y_{1}\right) = F_{185}\! \left(x , y_{0}, y_{1}\right)
F_{473}\! \left(x , y_{0}, y_{1}\right) = F_{474}\! \left(x , y_{0}, y_{1}\right)+F_{48}\! \left(x , y_{0}, y_{1}\right)
F_{474}\! \left(x , y_{0}, y_{1}\right) = y_{0} F_{475}\! \left(x , y_{0}, y_{1}\right)
F_{475}\! \left(x , y_{0}, y_{1}\right) = F_{476}\! \left(x , y_{0}, y_{1}\right)
F_{476}\! \left(x , y_{0}, y_{1}\right) = F_{12}\! \left(x \right) F_{315}\! \left(x , y_{0}, y_{1}\right)
F_{478}\! \left(x , y_{0}\right) = F_{477}\! \left(x , y_{0}\right)+F_{480}\! \left(x , y_{0}\right)
F_{479}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{478}\! \left(x , y_{0}\right)
F_{479}\! \left(x , y_{0}\right) = F_{453}\! \left(x , y_{0}\right)
F_{480}\! \left(x , y_{0}\right) = F_{481}\! \left(x , y_{0}\right)
F_{481}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{458}\! \left(x , y_{0}\right)
F_{482}\! \left(x , y_{0}\right) = F_{483}\! \left(x , y_{0}\right)
F_{484}\! \left(x , y_{0}\right) = F_{483}\! \left(x , y_{0}\right)+F_{488}\! \left(x , y_{0}\right)
F_{484}\! \left(x , y_{0}\right) = F_{485}\! \left(x , y_{0}\right)
F_{485}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{20}\! \left(x \right) F_{426}\! \left(x \right) F_{486}\! \left(x , y_{0}\right)
F_{487}\! \left(x , y_{0}\right) = F_{12}\! \left(x \right) F_{486}\! \left(x , y_{0}\right)
F_{487}\! \left(x , y_{0}\right) = F_{488}\! \left(x , y_{0}\right)
F_{488}\! \left(x , y_{0}\right) = F_{489}\! \left(x , y_{0}, 1\right)
F_{489}\! \left(x , y_{0}, y_{1}\right) = F_{490}\! \left(x , y_{0}, y_{1}\right)
F_{491}\! \left(x , y_{0}, y_{1}\right) = F_{447}\! \left(x , y_{0}, y_{1}\right)+F_{490}\! \left(x , y_{0}, y_{1}\right)
F_{450}\! \left(x , y_{0}, y_{1}\right) = F_{491}\! \left(x , y_{0}, y_{1}\right)+F_{492}\! \left(x , y_{0}, y_{1}\right)
F_{492}\! \left(x , y_{0}, y_{1}\right) = F_{461}\! \left(x , y_{0}, y_{1}\right)+F_{478}\! \left(x , y_{0}\right)
F_{493}\! \left(x , y_{0}\right) = F_{1}\! \left(x \right)+F_{188}\! \left(x , y_{0}\right)
F_{494}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{495}\! \left(x , y_{0}, y_{1}\right)
F_{496}\! \left(x , y_{0}, y_{1}\right) = F_{28}\! \left(x , y_{0}\right) F_{495}\! \left(x , y_{0}, y_{1}\right)
F_{496}\! \left(x , y_{0}, y_{1}\right) = F_{409}\! \left(x , y_{0}, y_{1}\right)
F_{497}\! \left(x , y_{0}, y_{1}\right) = y_{1} F_{470}\! \left(x , y_{0}, y_{1}\right)
F_{498}\! \left(x , y_{0}\right) = F_{270}\! \left(x , y_{0}\right)+F_{499}\! \left(x , y_{0}\right)
F_{499}\! \left(x , y_{0}\right) = y_{0} F_{65}\! \left(x , y_{0}\right)
F_{500}\! \left(x , y_{0}, y_{1}\right) = F_{188}\! \left(x , y_{0}\right) F_{26}\! \left(x , y_{1}\right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_12(x)*F_7(x))
Eq(F_7(x), F_129(x) + F_8(x))
Eq(F_8(x), F_13(x) + F_9(x))
Eq(F_9(x), F_0(x) + F_10(x))
Eq(F_10(x), F_11(x))
Eq(F_11(x), F_12(x)*F_7(x))
Eq(F_12(x), x)
Eq(F_13(x), F_14(x) + F_5(x))
Eq(F_14(x), F_15(x, 1))
Eq(F_15(x, k_0), F_16(x, k_0) + F_34(x, k_0))
Eq(F_16(x, k_0), F_17(x)*F_26(x, k_0))
Eq(F_17(x), F_18(x))
Eq(F_18(x), F_12(x)*F_19(x))
Eq(F_19(x), F_20(x) + F_23(x))
Eq(F_20(x), F_1(x) + F_21(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_12(x)*F_20(x))
Eq(F_23(x), F_17(x) + F_24(x))
Eq(F_24(x), F_25(x))
Eq(F_25(x), F_12(x)*F_23(x))
Eq(F_26(x, k_0), F_27(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0)*F_29(x, k_0))
Eq(F_28(x, k_0), k_0*x)
Eq(F_29(x, k_0), F_30(x, k_0) + F_31(x, k_0))
Eq(F_30(x, k_0), F_1(x) + F_28(x, k_0))
Eq(F_31(x, k_0), F_26(x, k_0) + F_32(x, k_0))
Eq(F_32(x, k_0), F_33(x, k_0))
Eq(F_33(x, k_0), F_26(x, k_0)*F_28(x, k_0))
Eq(F_34(x, k_0), F_35(x, 1, k_0))
Eq(F_36(x, k_0, k_1), F_35(x, k_0, k_1) + F_500(x, k_0, k_1))
Eq(F_36(x, k_0, k_1), F_37(x, k_0, k_1))
Eq(F_37(x, k_0, k_1), F_28(x, k_0)*F_38(x, k_0, k_1))
Eq(F_38(x, k_0, k_1), F_253(x, k_0, k_1) + F_39(x, k_0, k_1))
Eq(F_39(x, k_0, k_1), F_240(x, k_0, k_1) + F_40(x, k_0, k_1))
Eq(F_40(x, k_0, k_1), F_36(x, k_0, k_1) + F_41(x, k_1))
Eq(F_41(x, k_0), F_42(x, k_0))
Eq(F_42(x, k_0), F_28(x, k_0)*F_43(x, k_0))
Eq(F_43(x, k_0), F_44(x, k_0) + F_46(x, k_0))
Eq(F_44(x, k_0), F_4(x) + F_45(x, k_0))
Eq(F_45(x, k_0), F_15(x, k_0) + F_41(x, k_0))
Eq(F_46(x, k_0), k_0*F_47(x, k_0))
Eq(F_47(x, k_0), F_48(x, 1, k_0))
Eq(F_48(x, k_0, k_1), F_49(x, k_0, k_1))
Eq(F_49(x, k_0, k_1), F_12(x)*F_50(x, k_0, k_1))
Eq(F_50(x, k_0, k_1), F_44(x, k_1) + F_51(x, k_0, k_1))
Eq(F_51(x, k_0, k_1), F_52(x, k_0, k_1) + F_87(x, k_0, k_1))
Eq(F_52(x, k_0, k_1), F_36(x, k_0, k_1) + F_53(x, k_0))
Eq(F_53(x, k_0), F_54(x, k_0))
Eq(F_54(x, k_0), F_28(x, k_0)*F_55(x, k_0))
Eq(F_55(x, k_0), F_56(x, k_0) + F_59(x, k_0))
Eq(F_56(x, k_0), F_57(x, k_0) + F_9(x))
Eq(F_57(x, k_0), F_53(x, k_0) + F_58(x, k_0))
Eq(F_58(x, k_0), F_36(x, k_0, 1))
Eq(F_59(x, k_0), k_0*F_60(x, k_0))
Eq(F_60(x, k_0), F_61(x, k_0) + F_65(x, k_0))
Eq(F_61(x, k_0), F_62(x, k_0))
Eq(F_62(x, k_0), F_12(x)*F_63(x, k_0))
Eq(F_64(x, k_0), F_28(x, k_0)*F_63(x, k_0))
Eq(F_64(x, k_0), F_53(x, k_0))
Eq(F_65(x, k_0), F_66(x, 1, k_0))
Eq(F_66(x, k_0, k_1), F_67(x, k_0, k_1, 1))
Eq(F_67(x, k_0, k_1, k_2), k_0*F_68(x, k_2, k_2))
Eq(F_68(x, k_0, k_1), F_231(x, k_0, k_1) + F_69(x, k_1))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_12(x)*F_71(x, k_0))
Eq(F_71(x, k_0), F_72(x, k_0))
Eq(F_72(x, k_0), F_28(x, k_0)*F_73(x, k_0))
Eq(F_73(x, k_0), F_227(x, k_0) + F_74(x, k_0))
Eq(F_74(x, k_0), F_75(x, k_0) + F_79(x, k_0))
Eq(F_75(x, k_0), F_76(x, k_0) + F_77(x, k_0))
Eq(F_76(x, k_0), F_71(x, k_0) + F_9(x))
Eq(F_77(x, k_0), (k_0*F_78(x, k_0) - F_78(x, 1))/(k_0 - 1))
Eq(F_78(x, k_0), F_15(x, k_0) + F_5(x))
Eq(F_79(x, k_0), F_80(x, k_0))
Eq(F_80(x, k_0), F_12(x)*F_81(x, k_0))
Eq(F_81(x, k_0), (k_0*F_82(x, k_0) - F_82(x, 1))/(k_0 - 1))
Eq(F_82(x, k_0), F_223(x) + F_83(x, k_0))
Eq(F_83(x, k_0), F_74(x, k_0) + F_84(x))
Eq(F_84(x), F_85(x, 1))
Eq(F_85(x, k_0), F_57(x, k_0) + F_86(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0, 1))
Eq(F_87(x, k_0, k_1), F_88(x, k_0, k_1))
Eq(F_88(x, k_0, k_1), F_28(x, k_0)*F_89(x, k_0, k_1))
Eq(F_90(x, k_0, k_1), F_106(x, k_0, k_1) + F_89(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), F_12(x)*F_90(x, k_0, k_1))
Eq(F_91(x, k_0, k_1), F_92(x, k_0, k_1))
Eq(F_93(x, k_0, k_1), F_105(x, k_0, k_1) + F_92(x, k_0, k_1))
Eq(F_93(x, k_0, k_1), F_94(x, k_0, k_1))
Eq(F_94(x, k_0, k_1), F_12(x)*F_95(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_12(x)*F_95(x, k_0, k_1))
Eq(F_96(x, k_0, k_1), F_97(x, k_0, k_1))
Eq(F_97(x, k_0, k_1), F_102(x, k_0, k_1) + F_98(x, k_0, k_1))
Eq(F_98(x, k_0, k_1), F_99(x, k_0, k_1))
Eq(F_99(x, k_0, k_1), F_100(x, k_0, k_1)*F_12(x))
Eq(F_100(x, k_0, k_1), F_101(x, k_0, k_1) + F_74(x, k_1))
Eq(F_101(x, k_0, k_1), (k_1*F_51(x, k_0, k_1) - F_51(x, k_0, 1))/(k_1 - 1))
Eq(F_102(x, k_0, k_1), F_103(x, k_0, k_1))
Eq(F_103(x, k_0, k_1), F_104(x, k_0, k_1)*F_28(x, k_0))
Eq(F_104(x, k_0, k_1), (k_1*F_97(x, k_0, k_1) - F_97(x, k_0, 1))/(k_1 - 1))
Eq(F_105(x, k_0, k_1), F_61(x, k_0) + F_68(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_106(x, k_0, k_1) + F_158(x, k_0, k_1))
Eq(F_107(x, k_0, k_1), F_108(x, k_0, k_1) + F_153(x, k_0, k_1))
Eq(F_108(x, k_0, k_1), F_109(x, k_0, k_1))
Eq(F_109(x, k_0, k_1), F_110(x, k_1)*F_150(x, k_0))
Eq(F_110(x, k_0), F_111(x) + F_148(x, k_0))
Eq(F_111(x), F_112(x))
Eq(F_112(x), F_113(x)*F_12(x)*F_20(x))
Eq(F_113(x), F_114(x) + F_115(x))
Eq(F_114(x), F_111(x) + F_4(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_12(x))
Eq(F_117(x), F_118(x, 1))
Eq(F_118(x, k_0), F_119(x, k_0) + F_121(x, k_0))
Eq(F_120(x, k_0), F_119(x, k_0)*F_28(x, k_0))
Eq(F_120(x, k_0), F_53(x, k_0))
Eq(F_122(x, k_0), F_121(x, k_0) + F_147(x, k_0))
Eq(F_123(x, k_0), F_122(x, k_0)*F_28(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0))
Eq(F_124(x, k_0), F_125(x, k_0))
Eq(F_125(x, k_0), F_126(x, k_0)*F_28(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_145(x, k_0))
Eq(F_127(x, k_0), F_128(x, k_0) + F_129(x))
Eq(F_128(x, k_0), F_13(x) + F_86(x, k_0))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_12(x)*F_131(x))
Eq(F_131(x), F_132(x, 1))
Eq(F_132(x, k_0), F_133(x, k_0) + F_142(x))
Eq(F_133(x, k_0), F_134(x, k_0) + F_139(x, k_0))
Eq(F_134(x, k_0), F_135(x, k_0) + F_63(x, k_0))
Eq(F_135(x, k_0), F_128(x, k_0) + F_136(x, k_0))
Eq(F_136(x, k_0), F_137(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0)*F_28(x, k_0))
Eq(F_138(x, k_0), F_89(x, k_0, 1))
Eq(F_140(x, k_0), F_135(x, k_0) + F_139(x, k_0))
Eq(F_141(x, k_0), F_140(x, k_0)*F_28(x, k_0))
Eq(F_141(x, k_0), F_124(x, k_0))
Eq(F_142(x), F_143(x) - F_144(x))
Eq(F_143(x), F_83(x, 1))
Eq(F_144(x), F_7(x) + F_84(x))
Eq(F_145(x, k_0), k_0*F_146(x, k_0))
Eq(F_146(x, k_0), F_92(x, k_0, 1))
Eq(F_147(x, k_0), F_139(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0))
Eq(F_149(x, k_0), F_21(x)*F_45(x, k_0))
Eq(F_150(x, k_0), F_1(x) + F_151(x, k_0))
Eq(F_151(x, k_0), F_152(x, k_0))
Eq(F_152(x, k_0), F_150(x, k_0)*F_28(x, k_0))
Eq(F_95(x, k_0, k_1), F_153(x, k_0, k_1) + F_154(x, k_0, k_1))
Eq(F_154(x, k_0, k_1), F_155(x, k_0, k_1))
Eq(F_155(x, k_0, k_1), F_150(x, k_0)*F_156(x, k_0, k_1))
Eq(F_156(x, k_0, k_1), F_157(x, k_1) + F_51(x, k_0, k_1))
Eq(F_157(x, k_0), F_110(x, k_0) + F_44(x, k_0))
Eq(F_158(x, k_0, k_1), F_159(x, k_0, k_1) + F_219(x, k_0, k_1))
Eq(F_159(x, k_0, k_1), F_160(x, k_0, k_1))
Eq(F_161(x, k_0, k_1), F_160(x, k_0, k_1) + F_214(x, k_0, k_1))
Eq(F_161(x, k_0, k_1), F_162(x, k_0) + F_176(x, k_0, k_1))
Eq(F_162(x, k_0), F_163(x, k_0))
Eq(F_163(x, k_0), F_164(x) + F_167(x, k_0))
Eq(F_164(x), F_165(x) + F_9(x))
Eq(F_165(x), F_14(x) + F_166(x))
Eq(F_166(x), F_53(x, 1))
Eq(F_167(x, k_0), F_168(x, k_0))
Eq(F_168(x, k_0), F_169(x, k_0)*F_28(x, k_0))
Eq(F_169(x, k_0), F_170(x, k_0) + F_175(x, k_0))
Eq(F_170(x, k_0), F_150(x, k_0)*F_171(x))
Eq(F_171(x), F_172(x, 1))
Eq(F_172(x, k_0), F_173(x, k_0) + F_174(x, k_0))
Eq(F_173(x, k_0), F_0(x) + F_41(x, k_0))
Eq(F_174(x, k_0), F_15(x, k_0) + F_166(x))
Eq(F_175(x, k_0), F_159(x, k_0, 1))
Eq(F_176(x, k_0, k_1), F_177(x, k_0, k_1))
Eq(F_178(x, k_0, k_1), (-k_0*F_177(x, k_0, k_1) + F_177(x, 1, k_1))/(1 - k_0))
Eq(F_178(x, k_0, k_1), F_179(x, k_0, k_1))
Eq(F_180(x, k_0, k_1), F_179(x, k_0, k_1) + F_203(x, k_0))
Eq(F_95(x, k_0, k_1), F_180(x, k_0, k_1) + F_181(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_12(x)*F_181(x, k_0, k_1))
Eq(F_182(x, k_0, k_1), F_183(x, k_0, k_1))
Eq(F_183(x, k_0, k_1), F_184(x, k_0, k_1) + F_200(x, k_0, k_1))
Eq(F_184(x, k_0, k_1), (k_1*F_185(x, k_0, k_1) - F_185(x, k_0, 1))/(k_1 - 1))
Eq(F_185(x, k_0, k_1), F_186(x, k_0, k_1) + F_195(x, k_0, k_1))
Eq(F_186(x, k_0, k_1), F_187(x, k_0, k_1))
Eq(F_187(x, k_0, k_1), F_12(x)*F_188(x, k_0)*F_194(x, k_1))
Eq(F_188(x, k_0), F_189(x, k_0))
Eq(F_189(x, k_0), F_190(x, k_0)*F_28(x, k_0))
Eq(F_190(x, k_0), F_150(x, k_0) + F_191(x, k_0))
Eq(F_191(x, k_0), F_188(x, k_0) + F_192(x, k_0))
Eq(F_192(x, k_0), F_193(x, k_0))
Eq(F_193(x, k_0), F_191(x, k_0)*F_28(x, k_0))
Eq(F_194(x, k_0), F_1(x) + F_26(x, k_0))
Eq(F_195(x, k_0, k_1), F_196(x, k_0, k_1))
Eq(F_196(x, k_0, k_1), F_12(x)*F_197(x, k_0, k_1))
Eq(F_197(x, k_0, k_1), F_198(x, k_0, k_1) + F_87(x, k_0, k_1))
Eq(F_198(x, k_0, k_1), F_199(x, k_0) + F_35(x, k_0, k_1))
Eq(F_53(x, k_0), F_188(x, k_0) + F_199(x, k_0))
Eq(F_200(x, k_0, k_1), F_201(x, k_0, k_1))
Eq(F_201(x, k_0, k_1), F_202(x, k_0, k_1)*F_28(x, k_0))
Eq(F_202(x, k_0, k_1), (k_1*F_183(x, k_0, k_1) - F_183(x, k_0, 1))/(k_1 - 1))
Eq(F_203(x, k_0), F_139(x, k_0) + F_204(x, k_0))
Eq(F_118(x, k_0), F_204(x, k_0) + F_205(x, k_0))
Eq(F_205(x, k_0), F_206(x, k_0))
Eq(F_207(x, k_0), F_206(x, k_0) + F_209(x, k_0))
Eq(F_207(x, k_0), F_142(x) + F_208(x, k_0))
Eq(F_208(x, k_0), F_118(x, k_0) + F_147(x, k_0))
Eq(F_132(x, k_0), F_209(x, k_0) + F_210(x, k_0))
Eq(F_210(x, k_0), F_211(x, k_0) + F_85(x, k_0))
Eq(F_211(x, k_0), F_212(x, k_0))
Eq(F_212(x, k_0), F_213(x, k_0)*F_28(x, k_0))
Eq(F_213(x, k_0), F_181(x, k_0, 1))
Eq(F_214(x, k_0, k_1), F_172(x, k_1)*F_215(x, k_0))
Eq(F_215(x, k_0), F_1(x) + F_216(x, k_0))
Eq(F_216(x, k_0), F_217(x, k_0))
Eq(F_217(x, k_0), F_215(x, k_0)*F_218(x, k_0))
Eq(F_218(x, k_0), k_0*x)
Eq(F_220(x, k_0, k_1), F_12(x)*F_219(x, k_0, k_1))
Eq(F_220(x, k_0, k_1), F_221(x, k_0, k_1))
Eq(F_183(x, k_0, k_1), F_221(x, k_0, k_1) + F_222(x, k_0, k_1))
Eq(F_222(x, k_0, k_1), F_150(x, k_0)*F_185(x, k_0, k_1))
Eq(F_223(x), F_224(x))
Eq(F_224(x), F_12(x)*F_225(x))
Eq(F_225(x), F_226(x, 1))
Eq(F_226(x, k_0), F_95(x, 1, k_0))
Eq(F_227(x, k_0), F_228(x, k_0))
Eq(F_228(x, k_0), k_0*F_229(x, k_0))
Eq(F_229(x, k_0), F_230(x, k_0))
Eq(F_230(x, k_0), F_12(x)*F_226(x, k_0))
Eq(F_231(x, k_0, k_1), F_232(x, k_0, k_1))
Eq(F_232(x, k_0, k_1), F_233(x, k_0, k_1)*F_28(x, k_0))
Eq(F_233(x, k_0, k_1), F_234(x, k_0, k_1) + F_237(x, k_0, k_1))
Eq(F_234(x, k_0, k_1), F_235(x, k_0, k_1))
Eq(F_235(x, k_0, k_1), F_12(x)*F_236(x, k_0, k_1))
Eq(F_236(x, k_0, k_1), -F_38(x, k_0, 1) + (k_1*F_38(x, k_0, k_1) - F_38(x, k_0, 1))/(k_1 - 1))
Eq(F_237(x, k_0, k_1), F_238(x, k_0, k_1))
Eq(F_238(x, k_0, k_1), F_239(x, 1, k_0, k_1))
Eq(F_239(x, k_0, k_1, k_2), -F_67(x, k_0, k_1, 1) + (k_2*F_67(x, k_0, k_1, k_2) - F_67(x, k_0, k_1, 1))/(k_2 - 1))
Eq(F_240(x, k_0, k_1), k_0*F_241(x, k_0, k_1))
Eq(F_241(x, k_0, k_1), F_242(x, k_0, k_1))
Eq(F_242(x, k_0, k_1), F_12(x)*F_243(x, k_0, k_1))
Eq(F_244(x, k_0, k_1, k_2), F_239(x, k_0, k_1, k_2) + F_243(x, k_1, k_2))
Eq(F_245(x, k_0, k_1, k_2), F_244(x, k_0, k_1, k_2) + F_249(x, k_0, k_1, k_2))
Eq(F_246(x, k_0, k_1, k_2), F_245(x, k_0, k_1, k_2)*F_28(x, k_1))
Eq(F_246(x, k_0, k_1, k_2), F_247(x, k_0, k_1, k_2))
Eq(F_247(x, k_0, k_1, k_2), F_248(x, k_0, k_1, k_2) + F_36(x, k_1, k_2))
Eq(F_248(x, k_0, k_1, k_2), k_0*F_231(x, k_2, k_2))
Eq(F_249(x, k_0, k_1, k_2), k_0*F_250(x, k_2, k_2))
Eq(F_250(x, k_0, k_1), F_251(x, k_0, k_1))
Eq(F_251(x, k_0, k_1), F_12(x)*F_252(x, k_0, k_1))
Eq(F_252(x, k_0, k_1), -F_243(x, k_0, 1) + (k_1*F_243(x, k_0, k_1) - F_243(x, k_0, 1))/(k_1 - 1))
Eq(F_254(x, k_0, k_1), F_253(x, k_0, k_1) + F_498(x, k_0))
Eq(F_255(x, k_0, k_1), F_254(x, k_0, k_1) + F_497(x, k_0, k_1))
Eq(F_255(x, k_0, k_1), F_256(x, k_0, k_1))
Eq(F_256(x, k_0, k_1), F_12(x)*F_257(x, k_0, k_1))
Eq(F_257(x, k_0, k_1), F_258(x, k_0, k_1) + F_494(x, k_0, k_1))
Eq(F_259(x, k_0, k_1), F_258(x, k_0, k_1)*F_28(x, k_0))
Eq(F_259(x, k_0, k_1), F_260(x, k_0, k_1))
Eq(F_260(x, k_0, k_1), F_261(x, k_0, k_1) + F_404(x, k_0, k_1))
Eq(F_261(x, k_0, k_1), F_262(x, k_0) + F_271(x, k_0, k_1))
Eq(F_262(x, k_0), F_263(x, k_0))
Eq(F_263(x, k_0), F_264(x, k_0)*F_28(x, k_0))
Eq(F_264(x, k_0), F_265(x, k_0, 1))
Eq(F_265(x, k_0, k_1), F_266(x, k_0, k_0*k_1))
Eq(F_266(x, k_0, k_1), F_267(x, k_0, k_1))
Eq(F_268(x, k_0, k_1), F_12(x)*F_267(x, k_0, k_1))
Eq(F_268(x, k_0, k_1), F_269(x, k_0, k_1))
Eq(F_269(x, k_0, k_1), F_270(x, k_1) + F_66(x, k_0, k_1))
Eq(F_270(x, k_0), F_10(x) + F_58(x, k_0))
Eq(F_271(x, k_0, k_1), -F_272(x, 1, k_1) + (-k_0*F_272(x, k_0, k_1) + F_272(x, 1, k_1))/(1 - k_0))
Eq(F_273(x, k_0, k_1), F_272(x, k_0, k_1) + F_41(x, k_1))
Eq(F_273(x, k_0, k_1), F_274(x, k_0, k_1))
Eq(F_274(x, k_0, k_1), F_275(x, k_0, k_1)*F_28(x, k_1))
Eq(F_275(x, k_0, k_1), F_276(x, k_0, k_1) + F_327(x, k_0, k_1))
Eq(F_276(x, k_0, k_1), F_277(x, k_0) + F_279(x, k_0, k_1))
Eq(F_277(x, k_0), F_278(x, k_0) + F_4(x))
Eq(F_278(x, k_0), F_124(x, k_0) + F_53(x, k_0))
Eq(F_279(x, k_0, k_1), k_1*F_280(x, k_0))
Eq(F_281(x, k_0), F_277(x, k_0) + F_280(x, k_0))
Eq(F_282(x, k_0), F_281(x, k_0) + F_295(x, k_0))
Eq(F_282(x, k_0), F_283(x, k_0) + F_290(x, k_0))
Eq(F_283(x, k_0), F_277(x, k_0) + F_284(x, k_0))
Eq(F_284(x, k_0), F_285(x, k_0))
Eq(F_285(x, k_0), F_286(x) + F_288(x, k_0))
Eq(F_286(x), F_14(x) + F_287(x))
Eq(F_287(x), F_41(x, 1))
Eq(F_288(x, k_0), k_0*F_289(x))
Eq(F_289(x), F_14(x))
Eq(F_290(x, k_0), F_291(x) + F_292(x, k_0))
Eq(F_291(x), F_47(x, 1))
Eq(F_292(x, k_0), k_0*F_293(x))
Eq(F_293(x), F_294(x))
Eq(F_294(x), F_12(x)*F_84(x))
Eq(F_295(x, k_0), F_296(x) + F_302(x, k_0))
Eq(F_296(x), F_286(x) + F_297(x))
Eq(F_297(x), F_291(x) - F_298(x))
Eq(F_298(x), F_299(x) + F_300(x))
Eq(F_299(x), F_3(x))
Eq(F_300(x), F_301(x))
Eq(F_301(x), F_115(x)*F_12(x))
Eq(F_302(x, k_0), k_0*F_303(x))
Eq(F_303(x), F_304(x))
Eq(F_304(x), F_12(x)*F_305(x))
Eq(F_305(x), F_306(x, 1))
Eq(F_306(x, k_0), F_307(x, k_0))
Eq(F_308(x, k_0), F_307(x, k_0) + F_319(x, k_0))
Eq(F_308(x, k_0), F_309(x, k_0) + F_312(x, k_0))
Eq(F_309(x, k_0), F_310(x, k_0) + F_7(x))
Eq(F_310(x, k_0), F_311(x, k_0))
Eq(F_311(x, k_0), F_243(x, 1, k_0))
Eq(F_312(x, k_0), F_313(x, k_0))
Eq(F_313(x, k_0), k_0*F_314(x, k_0))
Eq(F_314(x, k_0), F_315(x, 1, k_0))
Eq(F_315(x, k_0, k_1), F_316(x, k_0, k_1))
Eq(F_316(x, k_0, k_1), F_12(x)*F_317(x, k_0, k_1))
Eq(F_317(x, k_0, k_1), F_318(x, k_0, k_1) + F_89(x, k_0, k_1))
Eq(F_318(x, k_0, k_1), F_243(x, k_0, k_1) + F_63(x, k_0))
Eq(F_319(x, k_0), F_320(x, k_0) + F_7(x))
Eq(F_320(x, k_0), F_321(x, k_0))
Eq(F_321(x, k_0), k_0*F_322(x))
Eq(F_322(x), F_323(x))
Eq(F_323(x), F_12(x)*F_324(x))
Eq(F_324(x), F_325(x) + F_326(x))
Eq(F_325(x), F_204(x, 1))
Eq(F_326(x), F_210(x, 1))
Eq(F_327(x, k_0, k_1), F_328(x, k_1) + F_403(x, k_0, k_1))
Eq(F_43(x, k_0), F_328(x, k_0) + F_329(x, k_0))
Eq(F_330(x, k_0), F_329(x, k_0) + F_395(x, k_0))
Eq(F_330(x, k_0), F_331(x) + F_393(x, k_0))
Eq(F_331(x), F_332(x) + F_384(x))
Eq(F_332(x), F_333(x))
Eq(F_333(x), F_334(x) + F_347(x))
Eq(F_334(x), F_1(x) + F_335(x))
Eq(F_335(x), F_336(x))
Eq(F_336(x), F_12(x)*F_337(x))
Eq(F_337(x), F_338(x) + F_339(x))
Eq(F_338(x), F_1(x) + F_12(x))
Eq(F_339(x), F_335(x) + F_340(x))
Eq(F_340(x), F_341(x) + F_342(x) + F_346(x))
Eq(F_341(x), 0)
Eq(F_342(x), F_12(x)*F_343(x))
Eq(F_343(x), F_344(x) + F_345(x))
Eq(F_344(x), F_12(x))
Eq(F_345(x), F_340(x))
Eq(F_346(x), F_12(x)*F_335(x))
Eq(F_347(x), F_348(x) + F_350(x))
Eq(F_348(x), F_349(x))
Eq(F_349(x), F_12(x)*F_333(x))
Eq(F_350(x), F_341(x) + F_351(x) + F_380(x))
Eq(F_351(x), F_12(x)*F_352(x))
Eq(F_352(x), F_353(x) + F_354(x))
Eq(F_353(x), F_12(x) + F_340(x))
Eq(F_354(x), F_355(x) + F_357(x))
Eq(F_355(x), F_341(x) + F_351(x) + F_356(x))
Eq(F_356(x), F_12(x)*F_348(x))
Eq(F_357(x), F_341(x) + F_358(x) + F_359(x) + F_368(x))
Eq(F_358(x), 0)
Eq(F_359(x), F_12(x)*F_360(x))
Eq(F_360(x), F_361(x) + F_362(x))
Eq(F_361(x), F_355(x))
Eq(F_362(x), F_363(x))
Eq(F_363(x), 2*F_341(x) + F_364(x) + F_368(x))
Eq(F_364(x), F_12(x)*F_365(x))
Eq(F_365(x), F_366(x) + F_367(x))
Eq(F_366(x), F_355(x))
Eq(F_367(x), F_363(x))
Eq(F_368(x), F_12(x)*F_369(x))
Eq(F_369(x), F_370(x))
Eq(F_370(x), F_12(x)*F_371(x))
Eq(F_371(x), F_372(x) + F_374(x))
Eq(F_372(x), F_348(x) + F_373(x))
Eq(F_373(x), F_356(x))
Eq(F_374(x), F_369(x) + F_375(x))
Eq(F_375(x), 2*F_341(x) + F_368(x) + F_376(x))
Eq(F_376(x), F_12(x)*F_377(x))
Eq(F_377(x), F_378(x) + F_379(x))
Eq(F_378(x), F_373(x))
Eq(F_379(x), F_375(x))
Eq(F_380(x), F_12(x)*F_381(x))
Eq(F_381(x), F_382(x) + F_383(x))
Eq(F_382(x), F_348(x) + F_355(x))
Eq(F_383(x), F_363(x) + F_369(x))
Eq(F_384(x), F_385(x) - F_388(x))
Eq(F_385(x), F_386(x)/F_12(x))
Eq(F_386(x), F_387(x))
Eq(F_387(x), -F_348(x) + F_5(x))
Eq(F_388(x), F_389(x) + F_390(x))
Eq(F_389(x), F_10(x) + F_14(x))
Eq(F_390(x), F_391(x))
Eq(F_391(x), F_12(x)*F_392(x))
Eq(F_392(x), F_142(x))
Eq(F_393(x, k_0), k_0*F_394(x))
Eq(F_394(x), F_280(x, 1))
Eq(F_396(x, k_0), F_395(x, k_0) + F_401(x, k_0))
Eq(F_396(x, k_0), F_397(x, k_0))
Eq(F_397(x, k_0), F_12(x)*F_398(x, k_0))
Eq(F_398(x, k_0), F_312(x, k_0) + F_399(x, k_0))
Eq(F_399(x, k_0), F_310(x, k_0) + F_400(x))
Eq(F_400(x), F_133(x, 1))
Eq(F_401(x, k_0), F_402(x, k_0))
Eq(F_402(x, k_0), F_12(x)*F_306(x, k_0))
Eq(F_403(x, k_0, k_1), k_0*F_401(x, k_1))
Eq(F_404(x, k_0, k_1), F_405(x, k_0, k_1))
Eq(F_405(x, k_0, k_1), F_28(x, k_1)*F_406(x, k_0, k_1))
Eq(F_406(x, k_0, k_1), -F_407(x, 1, k_1) + (-k_0*F_407(x, k_0, k_1) + F_407(x, 1, k_1))/(1 - k_0))
Eq(F_407(x, k_0, k_1), F_260(x, k_0, k_1) + F_408(x, k_0, k_1))
Eq(F_408(x, k_0, k_1), k_1*F_409(x, k_0, k_1))
Eq(F_409(x, k_0, k_1), F_410(x, k_0, k_1))
Eq(F_410(x, k_0, k_1), F_28(x, k_0)*F_411(x, k_0, k_1))
Eq(F_412(x, k_0, k_1), F_150(x, k_0)*F_28(x, k_0)*F_411(x, k_0, k_1)*F_493(x, k_0))
Eq(F_412(x, k_0, k_1), F_413(x, k_0, k_1))
Eq(F_414(x, k_0, k_1), F_413(x, k_0, k_1) + F_443(x, k_0, k_1))
Eq(F_415(x, k_0, k_1), F_414(x, k_0, k_1) + F_417(x, k_0, k_1))
Eq(F_416(x, k_0, k_1), F_12(x)*F_415(x, k_0, k_1))
Eq(F_416(x, k_0, k_1), F_195(x, k_0, k_1))
Eq(F_417(x, k_0, k_1), F_188(x, k_0)*F_418(x, k_1))
Eq(F_418(x, k_0), F_419(x, k_0))
Eq(F_419(x, k_0), F_12(x)*F_420(x, k_0))
Eq(F_420(x, k_0), F_421(x, k_0) + F_438(x, k_0))
Eq(F_421(x, k_0), F_332(x) + F_422(x, k_0))
Eq(F_422(x, k_0), F_423(x, k_0))
Eq(F_423(x, k_0), F_26(x, k_0)*F_424(x))
Eq(F_424(x), F_425(x))
Eq(F_425(x), F_426(x) + F_427(x))
Eq(F_426(x), F_334(x))
Eq(F_427(x), F_12(x) + F_428(x))
Eq(F_428(x), F_341(x) + F_429(x) + F_430(x))
Eq(F_429(x), F_12(x)*F_21(x))
Eq(F_430(x), F_12(x)*F_431(x))
Eq(F_431(x), F_432(x) + F_435(x))
Eq(F_432(x), F_12(x) + F_433(x))
Eq(F_433(x), F_434(x))
Eq(F_434(x), F_12(x)*F_432(x))
Eq(F_435(x), F_428(x) + F_436(x))
Eq(F_436(x), F_437(x))
Eq(F_437(x), F_12(x)*F_435(x))
Eq(F_438(x, k_0), F_384(x) + F_439(x, k_0))
Eq(F_439(x, k_0), F_440(x, k_0) + F_442(x, k_0))
Eq(F_440(x, k_0), F_34(x, k_0) + F_441(x, k_0))
Eq(F_41(x, k_0), F_26(x, k_0) + F_441(x, k_0))
Eq(F_442(x, k_0), F_34(x, k_0))
Eq(F_443(x, k_0, k_1), F_188(x, k_0)*F_444(x, k_1))
Eq(F_445(x, k_0), F_17(x)*F_444(x, k_0))
Eq(F_446(x, k_0), F_445(x, k_0) + F_482(x, k_0))
Eq(F_446(x, k_0), F_447(x, k_0, 1))
Eq(F_448(x, k_0, k_1), F_447(x, k_0, k_1) + F_477(x, k_0))
Eq(F_449(x, k_0, k_1), F_448(x, k_0, k_1) + F_463(x, k_0, k_1))
Eq(F_450(x, k_0, k_1), F_449(x, k_0, k_1) + F_461(x, k_0, k_1))
Eq(F_451(x, k_0, k_1), F_12(x)*F_450(x, k_0, k_1))
Eq(F_451(x, k_0, k_1), F_452(x, k_0, k_1))
Eq(F_452(x, k_0, k_1), F_453(x, k_0) + F_459(x, k_0, k_1))
Eq(F_453(x, k_0), F_454(x, k_0))
Eq(F_454(x, k_0), F_12(x)*F_455(x, k_0))
Eq(F_455(x, k_0), F_438(x, k_0) + F_456(x, k_0))
Eq(F_456(x, k_0), F_457(x, k_0))
Eq(F_457(x, k_0), F_12(x)*F_458(x, k_0))
Eq(F_458(x, k_0), F_258(x, 1, k_0))
Eq(F_459(x, k_0, k_1), k_1*F_460(x, k_0))
Eq(F_460(x, k_0), F_195(x, 1, k_0))
Eq(F_461(x, k_0, k_1), F_17(x)*F_462(x, k_0, k_1))
Eq(F_462(x, k_0, k_1), k_1*F_418(x, k_0))
Eq(F_463(x, k_0, k_1), F_464(x, k_0, k_1))
Eq(F_464(x, k_0, k_1), F_12(x)*F_465(x, k_0, k_1))
Eq(F_466(x, k_0, k_1), F_12(x)*F_465(x, k_0, k_1))
Eq(F_466(x, k_0, k_1), F_467(x, k_0, k_1))
Eq(F_467(x, k_0, k_1), F_456(x, k_0) + F_468(x, k_0, k_1))
Eq(F_468(x, k_0, k_1), k_1*F_469(x, k_0))
Eq(F_469(x, k_0), F_470(x, 1, k_0))
Eq(F_471(x, k_0, k_1), F_470(x, k_0, k_1) + F_473(x, k_0, k_1))
Eq(F_472(x, k_0, k_1), F_28(x, k_0)*F_471(x, k_0, k_1))
Eq(F_472(x, k_0, k_1), F_185(x, k_0, k_1))
Eq(F_473(x, k_0, k_1), F_474(x, k_0, k_1) + F_48(x, k_0, k_1))
Eq(F_474(x, k_0, k_1), k_0*F_475(x, k_0, k_1))
Eq(F_475(x, k_0, k_1), F_476(x, k_0, k_1))
Eq(F_476(x, k_0, k_1), F_12(x)*F_315(x, k_0, k_1))
Eq(F_478(x, k_0), F_477(x, k_0) + F_480(x, k_0))
Eq(F_479(x, k_0), F_12(x)*F_478(x, k_0))
Eq(F_479(x, k_0), F_453(x, k_0))
Eq(F_480(x, k_0), F_481(x, k_0))
Eq(F_481(x, k_0), F_12(x)*F_458(x, k_0))
Eq(F_482(x, k_0), F_483(x, k_0))
Eq(F_484(x, k_0), F_483(x, k_0) + F_488(x, k_0))
Eq(F_484(x, k_0), F_485(x, k_0))
Eq(F_485(x, k_0), F_12(x)*F_20(x)*F_426(x)*F_486(x, k_0))
Eq(F_487(x, k_0), F_12(x)*F_486(x, k_0))
Eq(F_487(x, k_0), F_488(x, k_0))
Eq(F_488(x, k_0), F_489(x, k_0, 1))
Eq(F_489(x, k_0, k_1), F_490(x, k_0, k_1))
Eq(F_491(x, k_0, k_1), F_447(x, k_0, k_1) + F_490(x, k_0, k_1))
Eq(F_450(x, k_0, k_1), F_491(x, k_0, k_1) + F_492(x, k_0, k_1))
Eq(F_492(x, k_0, k_1), F_461(x, k_0, k_1) + F_478(x, k_0))
Eq(F_493(x, k_0), F_1(x) + F_188(x, k_0))
Eq(F_494(x, k_0, k_1), k_1*F_495(x, k_0, k_1))
Eq(F_496(x, k_0, k_1), F_28(x, k_0)*F_495(x, k_0, k_1))
Eq(F_496(x, k_0, k_1), F_409(x, k_0, k_1))
Eq(F_497(x, k_0, k_1), k_1*F_470(x, k_0, k_1))
Eq(F_498(x, k_0), F_270(x, k_0) + F_499(x, k_0))
Eq(F_499(x, k_0), k_0*F_65(x, k_0))
Eq(F_500(x, k_0, k_1), F_188(x, k_0)*F_26(x, k_1))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"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}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]]}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2, 4], "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, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 1]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 3, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 0, 3, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [1, 3, 0, 2, 4], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}, "idx": 1}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 2]]}, {"patt": [0], "pos": [[1, 3]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [2, 3]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [2, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 2], [0, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [0, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [0, 2], [0, 2], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 2], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 2], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, 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[0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 3]]}, {"patt": [0, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 3]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 2], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 3], [0, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 3]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [0, 1], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 1], [0, 1], [0, 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2]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "SkewComponentAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}, {"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]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[0, 3]]}, {"patt": [0], "pos": [[0, 4]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 3]]}, {"patt": [0, 1], "pos": [[1, 3], [1, 4]]}, {"patt": [0, 1], "pos": [[1, 4], [1, 4]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 3], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 3]]}, {"patt": [1, 0], "pos": [[1, 4], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 2], [1, 4]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 3]]}, {"patt": [0, 1, 2], "pos": [[1, 2], [1, 2], [1, 4]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 3], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 0], [1, 4], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 3], [1, 2]]}, {"patt": [0, 2, 1], "pos": [[1, 2], [1, 4], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 2], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 3], [1, 0], [1, 2]]}, {"patt": [2, 0, 1], "pos": [[1, 4], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [0, 1, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 4]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 2]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 3]]}, {"patt": [1, 0, 2, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 4]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 2], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 3], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[1, 0], [1, 0], [1, 4], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 2], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 3], [1, 0], [1, 0]]}, {"patt": [1, 3, 0, 2], "pos": [[1, 0], [1, 4], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 3]]}], [{"patt": [0], "pos": [[1, 4]]}]], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}

Specification 3
Strategy pack name: point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_symmetries
Tree: http://permpal.com/tree/25880/
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[12,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[154,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[12,x]*F[8,x]
F[8,x] = F[9,x,1]
F[9,x,k[0]] = F[10,x,k[0]]+F[13,x,k[0]]+F[146,x,k[0]]+F[6,x]
F[10,x,k[0]] = F[11,x,k[0]]*F[12,x]
F[11,x,k[0]] = -k[0]*(F[9,x,1]-F[9,x,k[0]])/(-1+k[0])
F[12,x] = x
F[13,x,k[0]] = F[12,x]*F[14,x,k[0]]
F[14,x,k[0]] = F[15,x,1,k[0]]
F[15,x,k[0],k[1]] = F[128,x,k[0],k[1]]+F[16,x,k[0],k[1]]+F[19,x,k[0],k[1]]+F[21,x,k[0],k[1]]+F[6,x]
F[16,x,k[0],k[1]] = F[12,x]*F[17,x,k[0],k[1]]
F[17,x,k[0],k[1]] = 1/(-1+k[0])*(F[18,x,k[0],k[1]]*k[0]-F[18,x,1,k[1]])
F[18,x,k[0],k[1]] = k[1]*(F[9,x,k[0]]-F[9,x,k[1]])/(-k[1]+k[0])
F[19,x,k[0],k[1]] = F[12,x]*F[20,x,k[0],k[1]]
F[20,x,k[0],k[1]] = 1/(-1+k[0])*(F[15,x,k[0],k[1]]*k[0]-F[15,x,1,k[1]])
F[21,x,k[0],k[1]] = F[22,x,k[0],k[1]]
F[22,x,k[0],k[1]] = F[23,x,k[0],k[1]]*F[34,x,k[0]]
F[23,x,k[0],k[1]] = k[1]*F[24,x,k[0]]
F[24,x,k[0]] = F[25,x,k[0]]
F[25,x,k[0]] = F[12,x]*F[26,x,k[0]]
F[26,x,k[0]] = F[126,x,k[0]]+F[27,x,k[0]]+F[35,x,k[0]]
F[27,x,k[0]] = F[28,x,k[0]]+F[4,x]
F[28,x,k[0]] = F[10,x,k[0]]+F[29,x,k[0]]+F[31,x,k[0]]+F[6,x]
F[29,x,k[0]] = F[12,x]*F[30,x,k[0]]
F[30,x,k[0]] = -k[0]*(F[28,x,1]-F[28,x,k[0]])/(-1+k[0])
F[31,x,k[0]] = F[32,x,k[0]]*F[34,x,k[0]]
F[32,x,k[0]] = F[27,x,k[0]]+F[33,x,k[0]]
F[33,x,k[0]] = k[0]*F[24,x,k[0]]
F[34,x,k[0]] = k[0]*x
F[35,x,k[0]] = F[36,x,k[0]]
F[36,x,k[0]] = F[12,x]*F[37,x,k[0]]
F[38,x,k[0]] = F[37,x,k[0]]+F[40,x,k[0]]
F[39,x,k[0]] = F[34,x,k[0]]*F[38,x,k[0]]
F[39,x,k[0]] = F[11,x,k[0]]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = k[0]*F[42,x,k[0]]
F[42,x,k[0]] = 1/(-1+k[0])*(F[43,x,k[0]]*k[0]-F[43,x,1])
F[43,x,k[0]] = 3*F[6,x]+F[125,x,k[0]]+F[44,x,k[0]]
F[44,x,k[0]] = F[12,x]*F[45,x,k[0]]
F[45,x,k[0]] = F[46,x,k[0]]
F[46,x,k[0]] = F[12,x]*F[47,x,k[0]]
F[48,x,k[0]] = F[120,x]+F[47,x,k[0]]
F[49,x,k[0]] = F[12,x]*F[48,x,k[0]]
F[49,x,k[0]] = F[50,x,k[0]]
F[51,x,k[0]] = F[12,x]*F[50,x,k[0]]
F[52,x,k[0]] = 2*F[6,x]+F[105,x,k[0]]+F[51,x,k[0]]+F[97,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0],1]
F[53,x,k[0],k[1]] = F[54,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[26,x,k[0]*k[1]]+F[54,x,k[0],k[1]]
F[55,x,k[0],k[1]] = F[56,x,k[0],k[1]]+F[58,x,k[0],k[1]]+F[81,x,k[0],k[1]]
F[56,x,k[0],k[1]] = F[57,x,k[0]*k[1],k[1]]
F[57,x,k[0],k[1]] = F[23,x,k[0],k[1]]+F[27,x,k[0]]
F[58,x,k[0],k[1]] = F[59,x,k[0],k[1]]
F[59,x,k[0],k[1]] = F[12,x]*F[60,x,k[0],k[1]]
F[60,x,k[0],k[1]] = F[61,x,k[0],k[1]]+F[66,x]
F[61,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[62,x,k[0],k[1]]*k[0]*k[1]-F[62,x,1/k[1],k[1]])
F[62,x,k[0],k[1]] = F[63,x,k[0]*k[1],k[1]]
F[63,x,k[0],k[1]] = F[64,x,k[0]]+F[80,x,k[0],k[1]]
F[65,x,k[0]] = 1/(-1+k[0])*(F[64,x,k[0]]*k[0]-F[64,x,1])
F[37,x,k[0]] = F[65,x,k[0]]+F[66,x]
F[66,x] = -F[69,x]+F[67,x]
F[67,x] = 1/F[12,x]*F[68,x]
F[68,x] = F[8,x]
F[69,x] = 1/F[12,x]*F[70,x]
F[70,x] = -F[4,x]+F[71,x]
F[71,x] = -F[74,x]+F[72,x]
F[72,x] = 1/F[12,x]*F[73,x]
F[73,x] = F[5,x]
F[74,x] = F[75,x,1]
F[75,x,k[0]] = F[28,x,k[0]]+F[76,x,k[0]]
F[76,x,k[0]] = F[77,x,k[0]]
F[77,x,k[0]] = F[12,x]*F[78,x,k[0]]
F[78,x,k[0]] = F[79,x,1,k[0]]
F[79,x,k[0],k[1]] = k[1]*F[43,x,k[0]]
F[80,x,k[0],k[1]] = F[79,x,k[0],k[1]]
F[81,x,k[0],k[1]] = F[82,x,k[0],k[1]]
F[82,x,k[0],k[1]] = F[12,x]*F[83,x,k[0],k[1]]
F[83,x,k[0],k[1]] = F[84,x,k[0],k[1]]+F[85,x]
F[84,x,k[0],k[1]] = 1/(k[0]*k[1]-1)*(F[55,x,k[0],k[1]]*k[0]*k[1]-F[55,x,1/k[1],k[1]])
F[85,x] = -F[96,x]+F[86,x]
F[86,x] = 1/F[12,x]*F[87,x]
F[87,x] = F[88,x]
F[88,x] = -F[4,x]-F[94,x]+F[89,x]
F[89,x] = 1/F[12,x]*F[90,x]
F[90,x] = F[91,x]
F[91,x] = -F[0,x]+F[92,x]
F[92,x] = 1/F[12,x]*F[93,x]
F[93,x] = F[2,x]
F[94,x] = F[95,x]
F[95,x] = F[12,x]*F[67,x]
F[96,x] = F[26,x,1]
F[97,x,k[0]] = F[12,x]*F[98,x,k[0]]
F[98,x,k[0]] = F[103,x,k[0]]+F[99,x,k[0]]
F[99,x,k[0]] = F[100,x,k[0]]
F[100,x,k[0]] = F[101,x,k[0]]*F[12,x]
F[101,x,k[0]] = F[102,x,k[0]]+F[85,x]
F[102,x,k[0]] = 1/(-1+k[0])*(F[26,x,k[0]]*k[0]-F[26,x,1])
F[103,x,k[0]] = F[104,x,k[0]]*F[12,x]
F[104,x,k[0]] = 1/(-1+k[0])*(F[98,x,k[0]]*k[0]-F[98,x,1])
F[105,x,k[0]] = F[106,x,k[0]]*F[12,x]
F[106,x,k[0]] = F[107,x]+F[118,x,k[0]]
F[107,x] = F[108,x]+F[115,x]
F[108,x] = F[109,x]+F[4,x]
F[109,x] = F[110,x]
F[110,x] = F[111,x]*F[12,x]
F[111,x] = F[112,x,1]
F[112,x,k[0]] = F[107,x]+F[113,x,k[0]]
F[113,x,k[0]] = F[114,x,k[0]]
F[64,x,k[0]] = F[114,x,k[0]]+F[89,x]
F[115,x] = F[116,x]
F[116,x] = F[117,x]*F[12,x]
F[117,x] = F[106,x,1]
F[118,x,k[0]] = F[119,x,k[0]]
F[26,x,k[0]] = F[119,x,k[0]]+F[89,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[66,x]
F[122,x] = F[1,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[12,x]*F[122,x]
F[125,x,k[0]] = F[112,x,k[0]]*F[12,x]
F[126,x,k[0]] = F[127,x,k[0]]
F[127,x,k[0]] = F[101,x,k[0]]*F[12,x]
F[128,x,k[0],k[1]] = F[129,x,k[0],k[1]]*F[34,x,k[1]]
F[129,x,k[0],k[1]] = F[1,x]+F[128,x,k[0],k[1]]+F[130,x,k[0],k[1]]+F[139,x,k[0],k[1]]+F[142,x,k[0],k[1]]+F[145,x,k[0],k[1]]
F[130,x,k[0],k[1]] = F[12,x]*F[131,x,k[0],k[1]]
F[131,x,k[0],k[1]] = (-F[132,x,1,k[1]]*k[1]+F[132,x,k[0]/k[1],k[1]]*k[0])/(-k[1]+k[0])
F[132,x,k[0],k[1]] = F[133,x,k[0]*k[1],k[1]]
F[133,x,k[0],k[1]] = F[134,x,k[0]]+F[136,x,k[0],k[1]]
F[134,x,k[0]] = 1/(-1+k[0])*(F[135,x,k[0]]*k[0]-F[135,x,1])
F[135,x,k[0]] = F[4,x]+F[9,x,k[0]]
F[136,x,k[0],k[1]] = k[1]*F[137,x,k[0]]
F[137,x,k[0]] = F[138,x,k[0]]
F[138,x,k[0]] = F[12,x]*F[65,x,k[0]]
F[139,x,k[0],k[1]] = F[12,x]*F[140,x,k[0],k[1]]
F[140,x,k[0],k[1]] = 1/(-1+k[0])*(F[141,x,k[0],k[1]]*k[0]-F[141,x,1,k[1]])
F[141,x,k[0],k[1]] = F[15,x,k[0],k[1]]+F[27,x,k[0]]
F[142,x,k[0],k[1]] = F[143,x,k[0],k[1]]*F[34,x,k[0]]
F[143,x,k[0],k[1]] = F[144,x,k[0],k[1]]+F[57,x,k[0],k[1]]
F[144,x,k[0],k[1]] = F[33,x,k[0]]
F[145,x,k[0],k[1]] = F[141,x,k[0],k[1]]*F[34,x,k[1]]
F[146,x,k[0]] = F[147,x,k[0]]*F[34,x,k[0]]
F[147,x,k[0]] = F[148,x,1,k[0]]
F[148,x,k[0],k[1]] = F[1,x]+F[146,x,k[0]*k[1]]+F[149,x,k[0],k[1]]+F[150,x,k[0]*k[1]]+F[153,x,k[0],k[1]]
F[149,x,k[0],k[1]] = F[12,x]*F[132,x,k[0],k[1]]
F[150,x,k[0]] = F[12,x]*F[151,x,k[0]]
F[151,x,k[0]] = F[14,x,k[0]]+F[152,x]
F[152,x] = F[27,x,1]
F[153,x,k[0],k[1]] = F[135,x,k[1]]*F[34,x,k[1]]
F[154,x] = F[12,x]*F[152,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_{12}\! \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_{154}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{12}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x , 1\right)
F_{9}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{146}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{10}\! \left(x , y\right) = F_{11}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{11}\! \left(x , y\right) = -\frac{y \left(F_{9}\! \left(x , 1\right)-F_{9}\! \left(x , y\right)\right)}{-1+y}
F_{12}\! \left(x \right) = x
F_{13}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{14}\! \left(x , y\right)
F_{14}\! \left(x , y\right) = F_{15}\! \left(x , 1, y\right)
F_{15}\! \left(x , y , z\right) = F_{128}\! \left(x , y , z\right)+F_{16}\! \left(x , y , z\right)+F_{19}\! \left(x , y , z\right)+F_{21}\! \left(x , y , z\right)+F_{6}\! \left(x \right)
F_{16}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{17}\! \left(x , y , z\right)
F_{17}\! \left(x , y , z\right) = -\frac{-F_{18}\! \left(x , y , z\right) y +F_{18}\! \left(x , 1, z\right)}{-1+y}
F_{18}\! \left(x , y , z\right) = \frac{z \left(F_{9}\! \left(x , y\right)-F_{9}\! \left(x , z\right)\right)}{-z +y}
F_{19}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{20}\! \left(x , y , z\right)
F_{20}\! \left(x , y , z\right) = -\frac{-F_{15}\! \left(x , y , z\right) y +F_{15}\! \left(x , 1, z\right)}{-1+y}
F_{21}\! \left(x , y , z\right) = F_{22}\! \left(x , y , z\right)
F_{22}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right) F_{34}\! \left(x , y\right)
F_{23}\! \left(x , y , z\right) = z F_{24}\! \left(x , y\right)
F_{24}\! \left(x , y\right) = F_{25}\! \left(x , y\right)
F_{25}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{26}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{27}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{27}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{4}\! \left(x \right)
F_{28}\! \left(x , y\right) = F_{10}\! \left(x , y\right)+F_{29}\! \left(x , y\right)+F_{31}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{29}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = -\frac{y \left(F_{28}\! \left(x , 1\right)-F_{28}\! \left(x , y\right)\right)}{-1+y}
F_{31}\! \left(x , y\right) = F_{32}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{32}\! \left(x , y\right) = F_{27}\! \left(x , y\right)+F_{33}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = y F_{24}\! \left(x , y\right)
F_{34}\! \left(x , y\right) = y x
F_{35}\! \left(x , y\right) = F_{36}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{37}\! \left(x , y\right)
F_{38}\! \left(x , y\right) = F_{37}\! \left(x , y\right)+F_{40}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{34}\! \left(x , y\right) F_{38}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{11}\! \left(x , y\right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = y F_{42}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = -\frac{-F_{43}\! \left(x , y\right) y +F_{43}\! \left(x , 1\right)}{-1+y}
F_{43}\! \left(x , y\right) = 3 F_{6}\! \left(x \right)+F_{125}\! \left(x , y\right)+F_{44}\! \left(x , y\right)
F_{44}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{120}\! \left(x \right)+F_{47}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{50}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = 2 F_{6}\! \left(x \right)+F_{105}\! \left(x , y\right)+F_{51}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y , 1\right)
F_{53}\! \left(x , y , z\right) = F_{54}\! \left(x , y , z\right)
F_{55}\! \left(x , y , z\right) = F_{26}\! \left(x , y z \right)+F_{54}\! \left(x , y , z\right)
F_{55}\! \left(x , y , z\right) = F_{56}\! \left(x , y , z\right)+F_{58}\! \left(x , y , z\right)+F_{81}\! \left(x , y , z\right)
F_{56}\! \left(x , y , z\right) = F_{57}\! \left(x , y z , z\right)
F_{57}\! \left(x , y , z\right) = F_{23}\! \left(x , y , z\right)+F_{27}\! \left(x , y\right)
F_{58}\! \left(x , y , z\right) = F_{59}\! \left(x , y , z\right)
F_{59}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{60}\! \left(x , y , z\right)
F_{60}\! \left(x , y , z\right) = F_{61}\! \left(x , y , z\right)+F_{66}\! \left(x \right)
F_{61}\! \left(x , y , z\right) = \frac{F_{62}\! \left(x , y , z\right) y z -F_{62}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{62}\! \left(x , y , z\right) = F_{63}\! \left(x , y z , z\right)
F_{63}\! \left(x , y , z\right) = F_{64}\! \left(x , y\right)+F_{80}\! \left(x , y , z\right)
F_{65}\! \left(x , y\right) = -\frac{-F_{64}\! \left(x , y\right) y +F_{64}\! \left(x , 1\right)}{-1+y}
F_{37}\! \left(x , y\right) = F_{65}\! \left(x , y\right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{69}\! \left(x \right)+F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{68}\! \left(x \right) = F_{8}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{74}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{73}\! \left(x \right) = F_{5}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x , 1\right)
F_{75}\! \left(x , y\right) = F_{28}\! \left(x , y\right)+F_{76}\! \left(x , y\right)
F_{76}\! \left(x , y\right) = F_{77}\! \left(x , y\right)
F_{77}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{78}\! \left(x , y\right)
F_{78}\! \left(x , y\right) = F_{79}\! \left(x , 1, y\right)
F_{79}\! \left(x , y , z\right) = z F_{43}\! \left(x , y\right)
F_{80}\! \left(x , y , z\right) = F_{79}\! \left(x , y , z\right)
F_{81}\! \left(x , y , z\right) = F_{82}\! \left(x , y , z\right)
F_{82}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{83}\! \left(x , y , z\right)
F_{83}\! \left(x , y , z\right) = F_{84}\! \left(x , y , z\right)+F_{85}\! \left(x \right)
F_{84}\! \left(x , y , z\right) = \frac{y z F_{55}\! \left(x , y , z\right)-F_{55}\! \left(x , \frac{1}{z}, z\right)}{y z -1}
F_{85}\! \left(x \right) = -F_{96}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = \frac{F_{87}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{87}\! \left(x \right) = F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{4}\! \left(x \right)-F_{94}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = \frac{F_{90}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = \frac{F_{93}\! \left(x \right)}{F_{12}\! \left(x \right)}
F_{93}\! \left(x \right) = F_{2}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{12}\! \left(x \right) F_{67}\! \left(x \right)
F_{96}\! \left(x \right) = F_{26}\! \left(x , 1\right)
F_{97}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{103}\! \left(x , y\right)+F_{99}\! \left(x , y\right)
F_{99}\! \left(x , y\right) = F_{100}\! \left(x , y\right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)+F_{85}\! \left(x \right)
F_{102}\! \left(x , y\right) = -\frac{-F_{26}\! \left(x , y\right) y +F_{26}\! \left(x , 1\right)}{-1+y}
F_{103}\! \left(x , y\right) = F_{104}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{104}\! \left(x , y\right) = -\frac{-F_{98}\! \left(x , y\right) y +F_{98}\! \left(x , 1\right)}{-1+y}
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{106}\! \left(x , y\right) = F_{107}\! \left(x \right)+F_{118}\! \left(x , y\right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{115}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{4}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{12}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x , 1\right)
F_{112}\! \left(x , y\right) = F_{107}\! \left(x \right)+F_{113}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{114}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{89}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{12}\! \left(x \right)
F_{117}\! \left(x \right) = F_{106}\! \left(x , 1\right)
F_{118}\! \left(x , y\right) = F_{119}\! \left(x , y\right)
F_{26}\! \left(x , y\right) = F_{119}\! \left(x , y\right)+F_{89}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{66}\! \left(x \right)
F_{122}\! \left(x \right) = F_{1}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{12}\! \left(x \right) F_{122}\! \left(x \right)
F_{125}\! \left(x , y\right) = F_{112}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{126}\! \left(x , y\right) = F_{127}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{101}\! \left(x , y\right) F_{12}\! \left(x \right)
F_{128}\! \left(x , y , z\right) = F_{129}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{129}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{128}\! \left(x , y , z\right)+F_{130}\! \left(x , y , z\right)+F_{139}\! \left(x , y , z\right)+F_{142}\! \left(x , y , z\right)+F_{145}\! \left(x , y , z\right)
F_{130}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{131}\! \left(x , y , z\right)
F_{131}\! \left(x , y , z\right) = -\frac{F_{132}\! \left(x , 1, z\right) z -y F_{132}\! \left(x , \frac{y}{z}, z\right)}{-z +y}
F_{132}\! \left(x , y , z\right) = F_{133}\! \left(x , y z , z\right)
F_{133}\! \left(x , y , z\right) = F_{134}\! \left(x , y\right)+F_{136}\! \left(x , y , z\right)
F_{134}\! \left(x , y\right) = -\frac{-F_{135}\! \left(x , y\right) y +F_{135}\! \left(x , 1\right)}{-1+y}
F_{135}\! \left(x , y\right) = F_{4}\! \left(x \right)+F_{9}\! \left(x , y\right)
F_{136}\! \left(x , y , z\right) = z F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)
F_{138}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{65}\! \left(x , y\right)
F_{139}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{140}\! \left(x , y , z\right)
F_{140}\! \left(x , y , z\right) = -\frac{-y F_{141}\! \left(x , y , z\right)+F_{141}\! \left(x , 1, z\right)}{-1+y}
F_{141}\! \left(x , y , z\right) = F_{15}\! \left(x , y , z\right)+F_{27}\! \left(x , y\right)
F_{142}\! \left(x , y , z\right) = F_{143}\! \left(x , y , z\right) F_{34}\! \left(x , y\right)
F_{143}\! \left(x , y , z\right) = F_{144}\! \left(x , y , z\right)+F_{57}\! \left(x , y , z\right)
F_{144}\! \left(x , y , z\right) = F_{33}\! \left(x , y\right)
F_{145}\! \left(x , y , z\right) = F_{141}\! \left(x , y , z\right) F_{34}\! \left(x , z\right)
F_{146}\! \left(x , y\right) = F_{147}\! \left(x , y\right) F_{34}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{148}\! \left(x , 1, y\right)
F_{148}\! \left(x , y , z\right) = F_{1}\! \left(x \right)+F_{146}\! \left(x , y z \right)+F_{149}\! \left(x , y , z\right)+F_{150}\! \left(x , y z \right)+F_{153}\! \left(x , y , z\right)
F_{149}\! \left(x , y , z\right) = F_{12}\! \left(x \right) F_{132}\! \left(x , y , z\right)
F_{150}\! \left(x , y\right) = F_{12}\! \left(x \right) F_{151}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = F_{14}\! \left(x , y\right)+F_{152}\! \left(x \right)
F_{152}\! \left(x \right) = F_{27}\! \left(x , 1\right)
F_{153}\! \left(x , y , z\right) = F_{135}\! \left(x , z\right) F_{34}\! \left(x , z\right)
F_{154}\! \left(x \right) = F_{12}\! \left(x \right) F_{152}\! \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_12(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_154(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_12(x)*F_8(x))
Eq(F_8(x), F_9(x, 1))
Eq(F_9(x, k_0), F_10(x, k_0) + F_13(x, k_0) + F_146(x, k_0) + F_6(x))
Eq(F_10(x, k_0), F_11(x, k_0)*F_12(x))
Eq(F_11(x, k_0), -F_9(x, 1) + (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))
Eq(F_12(x), x)
Eq(F_13(x, k_0), F_12(x)*F_14(x, k_0))
Eq(F_14(x, k_0), F_15(x, 1, k_0))
Eq(F_15(x, k_0, k_1), F_128(x, k_0, k_1) + F_16(x, k_0, k_1) + F_19(x, k_0, k_1) + F_21(x, k_0, k_1) + F_6(x))
Eq(F_16(x, k_0, k_1), F_12(x)*F_17(x, k_0, k_1))
Eq(F_17(x, k_0, k_1), (k_0*F_18(x, k_0, k_1) - F_18(x, 1, k_1))/(k_0 - 1))
Eq(F_18(x, k_0, k_1), -F_9(x, k_0) + (-k_0*F_9(x, k_0) + k_1*F_9(x, k_1))/(-k_0 + k_1))
Eq(F_19(x, k_0, k_1), F_12(x)*F_20(x, k_0, k_1))
Eq(F_20(x, k_0, k_1), (k_0*F_15(x, k_0, k_1) - F_15(x, 1, k_1))/(k_0 - 1))
Eq(F_21(x, k_0, k_1), F_22(x, k_0, k_1))
Eq(F_22(x, k_0, k_1), F_23(x, k_0, k_1)*F_34(x, k_0))
Eq(F_23(x, k_0, k_1), k_1*F_24(x, k_0))
Eq(F_24(x, k_0), F_25(x, k_0))
Eq(F_25(x, k_0), F_12(x)*F_26(x, k_0))
Eq(F_26(x, k_0), F_126(x, k_0) + F_27(x, k_0) + F_35(x, k_0))
Eq(F_27(x, k_0), F_28(x, k_0) + F_4(x))
Eq(F_28(x, k_0), F_10(x, k_0) + F_29(x, k_0) + F_31(x, k_0) + F_6(x))
Eq(F_29(x, k_0), F_12(x)*F_30(x, k_0))
Eq(F_30(x, k_0), -F_28(x, 1) + (k_0*F_28(x, k_0) - F_28(x, 1))/(k_0 - 1))
Eq(F_31(x, k_0), F_32(x, k_0)*F_34(x, k_0))
Eq(F_32(x, k_0), F_27(x, k_0) + F_33(x, k_0))
Eq(F_33(x, k_0), k_0*F_24(x, k_0))
Eq(F_34(x, k_0), k_0*x)
Eq(F_35(x, k_0), F_36(x, k_0))
Eq(F_36(x, k_0), F_12(x)*F_37(x, k_0))
Eq(F_38(x, k_0), F_37(x, k_0) + F_40(x, k_0))
Eq(F_39(x, k_0), F_34(x, k_0)*F_38(x, k_0))
Eq(F_39(x, k_0), F_11(x, k_0))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), k_0*F_42(x, k_0))
Eq(F_42(x, k_0), (k_0*F_43(x, k_0) - F_43(x, 1))/(k_0 - 1))
Eq(F_43(x, k_0), F_125(x, k_0) + F_44(x, k_0) + 3*F_6(x))
Eq(F_44(x, k_0), F_12(x)*F_45(x, k_0))
Eq(F_45(x, k_0), F_46(x, k_0))
Eq(F_46(x, k_0), F_12(x)*F_47(x, k_0))
Eq(F_48(x, k_0), F_120(x) + F_47(x, k_0))
Eq(F_49(x, k_0), F_12(x)*F_48(x, k_0))
Eq(F_49(x, k_0), F_50(x, k_0))
Eq(F_51(x, k_0), F_12(x)*F_50(x, k_0))
Eq(F_52(x, k_0), F_105(x, k_0) + F_51(x, k_0) + 2*F_6(x) + F_97(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0, 1))
Eq(F_53(x, k_0, k_1), F_54(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_26(x, k_0*k_1) + F_54(x, k_0, k_1))
Eq(F_55(x, k_0, k_1), F_56(x, k_0, k_1) + F_58(x, k_0, k_1) + F_81(x, k_0, k_1))
Eq(F_56(x, k_0, k_1), F_57(x, k_0*k_1, k_1))
Eq(F_57(x, k_0, k_1), F_23(x, k_0, k_1) + F_27(x, k_0))
Eq(F_58(x, k_0, k_1), F_59(x, k_0, k_1))
Eq(F_59(x, k_0, k_1), F_12(x)*F_60(x, k_0, k_1))
Eq(F_60(x, k_0, k_1), F_61(x, k_0, k_1) + F_66(x))
Eq(F_61(x, k_0, k_1), (k_0*k_1*F_62(x, k_0, k_1) - F_62(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_62(x, k_0, k_1), F_63(x, k_0*k_1, k_1))
Eq(F_63(x, k_0, k_1), F_64(x, k_0) + F_80(x, k_0, k_1))
Eq(F_65(x, k_0), (k_0*F_64(x, k_0) - F_64(x, 1))/(k_0 - 1))
Eq(F_37(x, k_0), F_65(x, k_0) + F_66(x))
Eq(F_66(x), F_67(x) - F_69(x))
Eq(F_67(x), F_68(x)/F_12(x))
Eq(F_68(x), F_8(x))
Eq(F_69(x), F_70(x)/F_12(x))
Eq(F_70(x), -F_4(x) + F_71(x))
Eq(F_71(x), F_72(x) - F_74(x))
Eq(F_72(x), F_73(x)/F_12(x))
Eq(F_73(x), F_5(x))
Eq(F_74(x), F_75(x, 1))
Eq(F_75(x, k_0), F_28(x, k_0) + F_76(x, k_0))
Eq(F_76(x, k_0), F_77(x, k_0))
Eq(F_77(x, k_0), F_12(x)*F_78(x, k_0))
Eq(F_78(x, k_0), F_79(x, 1, k_0))
Eq(F_79(x, k_0, k_1), k_1*F_43(x, k_0))
Eq(F_80(x, k_0, k_1), F_79(x, k_0, k_1))
Eq(F_81(x, k_0, k_1), F_82(x, k_0, k_1))
Eq(F_82(x, k_0, k_1), F_12(x)*F_83(x, k_0, k_1))
Eq(F_83(x, k_0, k_1), F_84(x, k_0, k_1) + F_85(x))
Eq(F_84(x, k_0, k_1), (k_0*k_1*F_55(x, k_0, k_1) - F_55(x, 1/k_1, k_1))/(k_0*k_1 - 1))
Eq(F_85(x), F_86(x) - F_96(x))
Eq(F_86(x), F_87(x)/F_12(x))
Eq(F_87(x), F_88(x))
Eq(F_88(x), -F_4(x) + F_89(x) - F_94(x))
Eq(F_89(x), F_90(x)/F_12(x))
Eq(F_90(x), F_91(x))
Eq(F_91(x), -F_0(x) + F_92(x))
Eq(F_92(x), F_93(x)/F_12(x))
Eq(F_93(x), F_2(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_12(x)*F_67(x))
Eq(F_96(x), F_26(x, 1))
Eq(F_97(x, k_0), F_12(x)*F_98(x, k_0))
Eq(F_98(x, k_0), F_103(x, k_0) + F_99(x, k_0))
Eq(F_99(x, k_0), F_100(x, k_0))
Eq(F_100(x, k_0), F_101(x, k_0)*F_12(x))
Eq(F_101(x, k_0), F_102(x, k_0) + F_85(x))
Eq(F_102(x, k_0), (k_0*F_26(x, k_0) - F_26(x, 1))/(k_0 - 1))
Eq(F_103(x, k_0), F_104(x, k_0)*F_12(x))
Eq(F_104(x, k_0), (k_0*F_98(x, k_0) - F_98(x, 1))/(k_0 - 1))
Eq(F_105(x, k_0), F_106(x, k_0)*F_12(x))
Eq(F_106(x, k_0), F_107(x) + F_118(x, k_0))
Eq(F_107(x), F_108(x) + F_115(x))
Eq(F_108(x), F_109(x) + F_4(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, 1))
Eq(F_112(x, k_0), F_107(x) + F_113(x, k_0))
Eq(F_113(x, k_0), F_114(x, k_0))
Eq(F_64(x, k_0), F_114(x, k_0) + F_89(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_117(x)*F_12(x))
Eq(F_117(x), F_106(x, 1))
Eq(F_118(x, k_0), F_119(x, k_0))
Eq(F_26(x, k_0), F_119(x, k_0) + F_89(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_66(x))
Eq(F_122(x), F_1(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_12(x)*F_122(x))
Eq(F_125(x, k_0), F_112(x, k_0)*F_12(x))
Eq(F_126(x, k_0), F_127(x, k_0))
Eq(F_127(x, k_0), F_101(x, k_0)*F_12(x))
Eq(F_128(x, k_0, k_1), F_129(x, k_0, k_1)*F_34(x, k_1))
Eq(F_129(x, k_0, k_1), F_1(x) + F_128(x, k_0, k_1) + F_130(x, k_0, k_1) + F_139(x, k_0, k_1) + F_142(x, k_0, k_1) + F_145(x, k_0, k_1))
Eq(F_130(x, k_0, k_1), F_12(x)*F_131(x, k_0, k_1))
Eq(F_131(x, k_0, k_1), (-k_0*F_132(x, k_0/k_1, k_1) + k_1*F_132(x, 1, k_1))/(-k_0 + k_1))
Eq(F_132(x, k_0, k_1), F_133(x, k_0*k_1, k_1))
Eq(F_133(x, k_0, k_1), F_134(x, k_0) + F_136(x, k_0, k_1))
Eq(F_134(x, k_0), (k_0*F_135(x, k_0) - F_135(x, 1))/(k_0 - 1))
Eq(F_135(x, k_0), F_4(x) + F_9(x, k_0))
Eq(F_136(x, k_0, k_1), k_1*F_137(x, k_0))
Eq(F_137(x, k_0), F_138(x, k_0))
Eq(F_138(x, k_0), F_12(x)*F_65(x, k_0))
Eq(F_139(x, k_0, k_1), F_12(x)*F_140(x, k_0, k_1))
Eq(F_140(x, k_0, k_1), (k_0*F_141(x, k_0, k_1) - F_141(x, 1, k_1))/(k_0 - 1))
Eq(F_141(x, k_0, k_1), F_15(x, k_0, k_1) + F_27(x, k_0))
Eq(F_142(x, k_0, k_1), F_143(x, k_0, k_1)*F_34(x, k_0))
Eq(F_143(x, k_0, k_1), F_144(x, k_0, k_1) + F_57(x, k_0, k_1))
Eq(F_144(x, k_0, k_1), F_33(x, k_0))
Eq(F_145(x, k_0, k_1), F_141(x, k_0, k_1)*F_34(x, k_1))
Eq(F_146(x, k_0), F_147(x, k_0)*F_34(x, k_0))
Eq(F_147(x, k_0), F_148(x, 1, k_0))
Eq(F_148(x, k_0, k_1), F_1(x) + F_146(x, k_0*k_1) + F_149(x, k_0, k_1) + F_150(x, k_0*k_1) + F_153(x, k_0, k_1))
Eq(F_149(x, k_0, k_1), F_12(x)*F_132(x, k_0, k_1))
Eq(F_150(x, k_0), F_12(x)*F_151(x, k_0))
Eq(F_151(x, k_0), F_14(x, k_0) + F_152(x))
Eq(F_152(x), F_27(x, 1))
Eq(F_153(x, k_0, k_1), F_135(x, k_1)*F_34(x, k_1))
Eq(F_154(x), F_12(x)*F_152(x))
Pack JSON:
{"name": "point_and_row_placements_tracked_fusion_tracked_component_fusion_req_corrob_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.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]], "symmetry": true}, {"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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": false}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": [[0, 1, 2, 3, 4], [0, 1, 2, 4, 3], [0, 1, 3, 2, 4], [1, 0, 2, 3, 4], [1, 0, 2, 4, 3], [1, 0, 3, 2, 4], [1, 3, 0, 2, 4]]}], "iterative": false}
Specification JSON:
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