01243_01342_01432_10243_10342_10432_20341_20431_30421
Counting sequence:
1, 1, 2, 6, 24, 111, 546, 2760, 14159, 73374, 383327, 2016653, 10675389, 56825956, 304004767, 1633716630, 8815667112, 47748385469, 259507704531, 1414848232013, 7736273143283, 42415292492015, 233130185647731, 1284355618822786, 7091133344555478, 39230956184640200, 217455259630946647, 1207503847271734681, 6716435116036486707, 37417842130994937322, 208770713230206633882, 1166475620626756515948, 6526255320612616076342, 36559836790890818206425, 205053852036307563659832, 1151406872259413086973203, 6472356519608540664803912, 36420505192199569486850475, 205143673770643857156732593, 1156588907215951174188684081, 6526645546296827623562856422, 36861558909887093501540153761, 208359675690906542618473087773, 1178676403425317610650582769775, 6672706276922202682857367718268, 37802658689809815346368040538299, 214310182959224920270361583006597, 1215769755402422425937561171510318, 6901389729023114250947620069232176, 39200149029837319923762801009025790, 222789478747126303094654620606117480, 1266916020490210501657190878956069264, 7208386740843709041818870130695012285, 41035224958880365602210705473015390638, 233720001619105565613242449980056554293, 1331826086677174634880713813326943167006, 7592842146695937222427188266948435228792, 43307134716752010693037980511860116140327, 247118983202924851068443516870604580397758, 1410710882820010819144064852990648581590279, 8056550825302565998719568893023026338388916, 46029236464960461446814824910007335660265369, 263079132551655695551958533410398925950044257, 1504186957515850172630819150942389105613609245, 8603497482675902231256961995146987563883520615, 49226764063187492726163835966509210768434725812, 281757847242261498311026210407153865329391730354, 1613224746985870820215733880512961789164405993880, 9239610914984803266796458048916117007208886311803, 52935674355487716437861136308834101288944986798370, 303371898280086287241012742978924172079407884775565, 1739124653674976526604803082609523624114372965049527, 9972660128998993449107411168895435390283259074274792, 57202221011442268737329620546002518199225535281594522, 328195851983531788703191194010957267726110186134875901, 1883512429933197200383698588252552867630144072298583383, 10812250642905989966484292868336126803048315035027416900, 62083050658801931455562891646831500615363071170206091684, 356563227875486089218954834702346245411051691851247531567, 2048348964373438222775356355741442230818998324211453730998, 11769896982783628303035467403500423425881913091120141630261, 67645704157573769086649169444008636707535961483672935002183, 388869821728592434202100615341204875934156098094623710904453, 2235951698212327369372308736374335788508890398513811228166671, 12859157965515130847909251257094058548914788321280932026575984, 73969458535328710277328508224998388817160933331351523088406237, 425578886024277166605870816140810701644044567260010538548862742, 2449026217424727565361681493014318608116481051634140280499506293, 14095827988021198359845868623017745141077658969736493452221646705, 81146478546165409554279882243970338723185512717256766394018349154, 467228029401257179691506547742963177715698614723634151654120306735, 2690707426978467007284842002454883223970683736771496238097223838836, 15498181932476186913969570579030955532678105626927586278821844989795, 89283269304124714124163726277376319390364804692120191117418015962132, 514437812372650166288569816957786651166001256463196120246621572043156, 2964610311408244834397392567571396909211817045959027631989338969490449, 17087274402385060763379358626590162250442888192708297084624865030549187, 98502437645461770811943870778563689644865752513002576879669155302586642, 567922101573626156615849697773436492106873710313758684822763881841747831, 3274890734022019544578502122542944293562617579408220865642470711469446559, 18887296379063054518630711518275892912708818154181326638766462618530218181
Specification 1
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/24585/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[18,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[18,x]*F[8,x]
F[8,x] = F[9,x]+F[99,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[18,x]*F[25,x]
F[11,x] = 1/F[0,x]*F[12,x]
F[12,x] = -F[19,x]+F[13,x]
F[13,x] = 1/F[18,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = -F[0,x]+F[16,x]
F[16,x] = 1/F[18,x]*F[17,x]
F[17,x] = F[2,x]
F[18,x] = x
F[19,x] = -F[24,x]+F[20,x]
F[20,x] = 1/F[18,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = -F[23,x]+F[15,x]
F[23,x] = (x*F[23,x]+x-2*F[23,x])*(x*F[23,x]+x-1)
F[24,x] = F[11,x]*F[2,x]
F[25,x] = 1/F[18,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = 1/F[18,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = x^2
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[33,x]
F[33,x] = F[34,x]+F[69,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[29,x]
F[36,x] = F[37,x]
F[37,x] = F[18,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[18,x]*F[40,x]
F[40,x] = 1/F[18,x]/F[51,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[18,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[18,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]+F[52,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = -1+(x^2-2*x)*F[51,x]^2+(2+x)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[18,x]*F[54,x]
F[54,x] = F[55,x]+F[57,x]
F[55,x] = F[47,x]*F[56,x]
F[56,x] = F[2,x]+F[22,x]
F[57,x] = F[58,x]
F[58,x] = F[16,x]*F[18,x]*F[51,x]*F[59,x]
F[59,x] = 1/F[18,x]/F[51,x]/F[67,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[68,x]+F[62,x]
F[62,x] = 1/F[18,x]*F[63,x]
F[63,x] = F[64,x]
F[64,x] = -F[65,x]+F[19,x]
F[65,x] = -F[66,x]+F[20,x]
F[66,x] = -F[67,x]+F[13,x]
F[67,x] = F[16,x]+F[9,x]
F[68,x] = F[47,x]*F[65,x]
F[69,x] = F[18,x]*F[70,x]
F[70,x] = F[71,x]+F[76,x]
F[71,x] = F[72,x]
F[72,x] = F[18,x]*F[73,x]
F[73,x] = F[47,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[18,x]*F[59,x]
F[76,x] = F[77,x]+F[95,x]
F[77,x] = F[78,x]
F[78,x] = F[18,x]*F[79,x]
F[79,x] = F[0,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[18,x]*F[82,x]
F[82,x] = 1/F[5,x]/F[51,x]*F[83,x]
F[83,x] = -F[93,x]+F[84,x]
F[84,x] = 1/F[18,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = -F[91,x]+F[87,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = 1/F[18,x]*F[89,x]
F[89,x] = F[6,x]
F[90,x] = F[2,x]*F[4,x]
F[91,x] = F[92,x]
F[92,x] = F[0,x]*F[18,x]*F[25,x]*F[51,x]
F[93,x] = F[0,x]*F[25,x]*F[94,x]
F[94,x] = -F[51,x]+F[11,x]
F[95,x] = F[96,x]
F[96,x] = F[18,x]*F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[18,x]*F[82,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[18,x]
F[101,x] = F[102,x]+F[199,x]
F[102,x] = 1/F[18,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = -F[198,x]+F[105,x]
F[105,x] = F[106,x]+F[117,x]
F[106,x] = F[0,x]+F[107,x]
F[107,x] = -F[108,x]+F[9,x]
F[108,x] = F[109,x]
F[109,x] = F[11,x]*F[110,x]*F[18,x]
F[110,x] = F[111,x]+F[115,x]
F[111,x] = F[112,x]*F[79,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[18,x]
F[114,x] = F[1,x]+F[112,x]
F[115,x] = F[116,x]
F[116,x] = F[114,x]*F[18,x]*F[40,x]
F[117,x] = F[118,x]+F[193,x]
F[118,x] = F[119,x]+F[2,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[18,x]
F[121,x] = F[122,x]+F[189,x]
F[122,x] = F[118,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[130,x]*F[18,x]
F[127,x] = F[128,x]+F[156,x]
F[128,x] = F[129,x]+F[139,x]
F[129,x] = F[130,x]+F[133,x]
F[130,x] = F[1,x]+F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[130,x]*F[18,x]
F[133,x] = F[112,x]+F[134,x]
F[134,x] = F[135,x]+F[136,x]+F[138,x]
F[135,x] = 0
F[136,x] = F[137,x]*F[18,x]
F[137,x] = F[131,x]+F[134,x]
F[138,x] = F[133,x]*F[18,x]
F[139,x] = F[140,x]+F[154,x]
F[140,x] = F[141,x]+F[147,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[18,x]
F[143,x] = F[114,x]+F[144,x]
F[144,x] = F[141,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[144,x]*F[18,x]
F[147,x] = F[135,x]+F[148,x]+F[155,x]
F[148,x] = F[149,x]*F[18,x]
F[149,x] = F[137,x]+F[150,x]
F[150,x] = F[147,x]+F[151,x]
F[151,x] = 2*F[135,x]+F[152,x]+F[153,x]
F[152,x] = F[150,x]*F[18,x]
F[153,x] = F[154,x]*F[18,x]
F[154,x] = F[145,x]+F[151,x]
F[155,x] = F[140,x]*F[18,x]
F[156,x] = F[157,x]+F[170,x]
F[157,x] = F[158,x]+F[162,x]
F[158,x] = F[159,x]+F[18,x]
F[159,x] = F[135,x]+F[160,x]+F[161,x]
F[160,x] = F[131,x]*F[18,x]
F[161,x] = F[158,x]*F[18,x]
F[162,x] = F[163,x]+F[166,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[18,x]
F[165,x] = F[163,x]+F[18,x]
F[166,x] = 2*F[135,x]+F[167,x]+F[169,x]
F[167,x] = F[168,x]*F[18,x]
F[168,x] = F[159,x]+F[166,x]
F[169,x] = F[162,x]*F[18,x]
F[170,x] = F[171,x]+F[187,x]
F[171,x] = F[172,x]+F[179,x]
F[172,x] = F[135,x]+F[173,x]+F[174,x]
F[173,x] = F[112,x]*F[18,x]
F[174,x] = F[175,x]*F[18,x]
F[175,x] = F[165,x]+F[176,x]
F[176,x] = F[172,x]+F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[176,x]*F[18,x]
F[179,x] = F[135,x]+F[180,x]+F[181,x]+F[188,x]
F[180,x] = F[134,x]*F[18,x]
F[181,x] = F[18,x]*F[182,x]
F[182,x] = F[168,x]+F[183,x]
F[183,x] = F[179,x]+F[184,x]
F[184,x] = 3*F[135,x]+F[185,x]+F[186,x]
F[185,x] = F[18,x]*F[183,x]
F[186,x] = F[18,x]*F[187,x]
F[187,x] = F[177,x]+F[184,x]
F[188,x] = F[171,x]*F[18,x]
F[189,x] = -F[192,x]+F[190,x]
F[190,x] = 1/F[18,x]*F[191,x]
F[191,x] = F[5,x]
F[192,x] = F[11,x]+F[122,x]
F[193,x] = F[194,x]+F[195,x]
F[194,x] = F[2,x]^2
F[195,x] = F[196,x]
F[196,x] = F[121,x]*F[18,x]*F[197,x]
F[197,x] = F[2,x]+F[80,x]
F[198,x] = F[118,x]+F[51,x]
F[199,x] = F[200,x]
F[200,x] = F[11,x]*F[18,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[198,x]*F[25,x]
F[203,x] = F[204,x]
F[204,x] = F[18,x]*F[190,x]*F[82,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)+F_{99}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{12}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{15}\! \left(x \right)
F_{23}\! \left(x \right) = x^{2} F_{23} \left(x \right)^{2}+2 x^{2} F_{23}\! \left(x \right)-2 x F_{23} \left(x \right)^{2}+x^{2}-3 x F_{23}\! \left(x \right)-x +2 F_{23}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = x^{2}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{69}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{18}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{18}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{18}\! \left(x \right) F_{51}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}-2 x F_{51} \left(x \right)^{2}+F_{51}\! \left(x \right) x +2 F_{51}\! \left(x \right)-1
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{18}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{57}\! \left(x \right)
F_{55}\! \left(x \right) = F_{47}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right) F_{51}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{18}\! \left(x \right) F_{51}\! \left(x \right) F_{67}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{19}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{20}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{13}\! \left(x \right)
F_{67}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{68}\! \left(x \right) = F_{47}\! \left(x \right) F_{65}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{76}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{18}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{47}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{95}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{18}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{18}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{5}\! \left(x \right) F_{51}\! \left(x \right)}
F_{83}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{6}\! \left(x \right)
F_{90}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{51}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{11}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{18}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{18}\! \left(x \right) F_{82}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{199}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{117}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{9}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{18}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{115}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{79}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{112}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right) F_{40}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{193}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{2}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{189}\! \left(x \right)
F_{122}\! \left(x \right) = F_{118}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{18}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{130}\! \left(x \right) F_{18}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{156}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{139}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{133}\! \left(x \right)
F_{130}\! \left(x \right) = F_{1}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{130}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{112}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)+F_{138}\! \left(x \right)
F_{135}\! \left(x \right) = 0
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{138}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{154}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{147}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{18}\! \left(x \right)
F_{143}\! \left(x \right) = F_{114}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{141}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{147}\! \left(x \right) = F_{135}\! \left(x \right)+F_{148}\! \left(x \right)+F_{155}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{18}\! \left(x \right)
F_{149}\! \left(x \right) = F_{137}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = 2 F_{135}\! \left(x \right)+F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{150}\! \left(x \right) F_{18}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{18}\! \left(x \right)
F_{154}\! \left(x \right) = F_{145}\! \left(x \right)+F_{151}\! \left(x \right)
F_{155}\! \left(x \right) = F_{140}\! \left(x \right) F_{18}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{170}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{162}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{18}\! \left(x \right)
F_{159}\! \left(x \right) = F_{135}\! \left(x \right)+F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{131}\! \left(x \right) F_{18}\! \left(x \right)
F_{161}\! \left(x \right) = F_{158}\! \left(x \right) F_{18}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{166}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{18}\! \left(x \right)
F_{165}\! \left(x \right) = F_{163}\! \left(x \right)+F_{18}\! \left(x \right)
F_{166}\! \left(x \right) = 2 F_{135}\! \left(x \right)+F_{167}\! \left(x \right)+F_{169}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{18}\! \left(x \right)
F_{168}\! \left(x \right) = F_{159}\! \left(x \right)+F_{166}\! \left(x \right)
F_{169}\! \left(x \right) = F_{162}\! \left(x \right) F_{18}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{187}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{179}\! \left(x \right)
F_{172}\! \left(x \right) = F_{135}\! \left(x \right)+F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{112}\! \left(x \right) F_{18}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{18}\! \left(x \right)
F_{175}\! \left(x \right) = F_{165}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{172}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{176}\! \left(x \right) F_{18}\! \left(x \right)
F_{179}\! \left(x \right) = F_{135}\! \left(x \right)+F_{180}\! \left(x \right)+F_{181}\! \left(x \right)+F_{188}\! \left(x \right)
F_{180}\! \left(x \right) = F_{134}\! \left(x \right) F_{18}\! \left(x \right)
F_{181}\! \left(x \right) = F_{18}\! \left(x \right) F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{168}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{179}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = 3 F_{135}\! \left(x \right)+F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{18}\! \left(x \right) F_{183}\! \left(x \right)
F_{186}\! \left(x \right) = F_{18}\! \left(x \right) F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{177}\! \left(x \right)+F_{184}\! \left(x \right)
F_{188}\! \left(x \right) = F_{171}\! \left(x \right) F_{18}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{5}\! \left(x \right)
F_{192}\! \left(x \right) = F_{11}\! \left(x \right)+F_{122}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{195}\! \left(x \right)
F_{194}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right) F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{2}\! \left(x \right)+F_{80}\! \left(x \right)
F_{198}\! \left(x \right) = F_{118}\! \left(x \right)+F_{51}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right) F_{82}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_18(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_18(x)*F_8(x))
Eq(F_8(x), F_9(x) + F_99(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_18(x)*F_25(x))
Eq(F_11(x), F_12(x)/F_0(x))
Eq(F_12(x), F_13(x) - F_19(x))
Eq(F_13(x), F_14(x)/F_18(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), -F_0(x) + F_16(x))
Eq(F_16(x), F_17(x)/F_18(x))
Eq(F_17(x), F_2(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x) - F_24(x))
Eq(F_20(x), F_21(x)/F_18(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_15(x) - F_23(x))
Eq(F_23(x), x*(x - 2)*(F_23(x) + 1)**2 + (x + 1)*(F_23(x) + 1) + F_23(x) - 1)
Eq(F_24(x), F_11(x)*F_2(x))
Eq(F_25(x), F_26(x)/F_18(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)/F_18(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), x**2)
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_69(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_29(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_18(x)*F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_18(x)*F_40(x))
Eq(F_40(x), F_41(x)/(F_18(x)*F_51(x)))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_18(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_18(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x) + F_52(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), x*(x - 2)*F_51(x)**2 + (x + 2)*F_51(x) - 1)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_18(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_57(x))
Eq(F_55(x), F_47(x)*F_56(x))
Eq(F_56(x), F_2(x) + F_22(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_16(x)*F_18(x)*F_51(x)*F_59(x))
Eq(F_59(x), F_60(x)/(F_18(x)*F_51(x)*F_67(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_68(x))
Eq(F_62(x), F_63(x)/F_18(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x) - F_65(x))
Eq(F_65(x), F_20(x) - F_66(x))
Eq(F_66(x), F_13(x) - F_67(x))
Eq(F_67(x), F_16(x) + F_9(x))
Eq(F_68(x), F_47(x)*F_65(x))
Eq(F_69(x), F_18(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_76(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_18(x)*F_73(x))
Eq(F_73(x), F_47(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_18(x)*F_59(x))
Eq(F_76(x), F_77(x) + F_95(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_18(x)*F_79(x))
Eq(F_79(x), F_0(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_18(x)*F_82(x))
Eq(F_82(x), F_83(x)/(F_5(x)*F_51(x)))
Eq(F_83(x), F_84(x) - F_93(x))
Eq(F_84(x), F_85(x)/F_18(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_87(x) - F_91(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_89(x)/F_18(x))
Eq(F_89(x), F_6(x))
Eq(F_90(x), F_2(x)*F_4(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_0(x)*F_18(x)*F_25(x)*F_51(x))
Eq(F_93(x), F_0(x)*F_25(x)*F_94(x))
Eq(F_94(x), F_11(x) - F_51(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_18(x)*F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_18(x)*F_82(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_18(x))
Eq(F_101(x), F_102(x) + F_199(x))
Eq(F_102(x), F_103(x)/F_18(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_198(x))
Eq(F_105(x), F_106(x) + F_117(x))
Eq(F_106(x), F_0(x) + F_107(x))
Eq(F_107(x), -F_108(x) + F_9(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_11(x)*F_110(x)*F_18(x))
Eq(F_110(x), F_111(x) + F_115(x))
Eq(F_111(x), F_112(x)*F_79(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_18(x))
Eq(F_114(x), F_1(x) + F_112(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_114(x)*F_18(x)*F_40(x))
Eq(F_117(x), F_118(x) + F_193(x))
Eq(F_118(x), F_119(x) + F_2(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_18(x))
Eq(F_121(x), F_122(x) + F_189(x))
Eq(F_122(x), F_118(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_18(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_130(x)*F_18(x))
Eq(F_127(x), F_128(x) + F_156(x))
Eq(F_128(x), F_129(x) + F_139(x))
Eq(F_129(x), F_130(x) + F_133(x))
Eq(F_130(x), F_1(x) + F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_130(x)*F_18(x))
Eq(F_133(x), F_112(x) + F_134(x))
Eq(F_134(x), F_135(x) + F_136(x) + F_138(x))
Eq(F_135(x), 0)
Eq(F_136(x), F_137(x)*F_18(x))
Eq(F_137(x), F_131(x) + F_134(x))
Eq(F_138(x), F_133(x)*F_18(x))
Eq(F_139(x), F_140(x) + F_154(x))
Eq(F_140(x), F_141(x) + F_147(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_18(x))
Eq(F_143(x), F_114(x) + F_144(x))
Eq(F_144(x), F_141(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_144(x)*F_18(x))
Eq(F_147(x), F_135(x) + F_148(x) + F_155(x))
Eq(F_148(x), F_149(x)*F_18(x))
Eq(F_149(x), F_137(x) + F_150(x))
Eq(F_150(x), F_147(x) + F_151(x))
Eq(F_151(x), 2*F_135(x) + F_152(x) + F_153(x))
Eq(F_152(x), F_150(x)*F_18(x))
Eq(F_153(x), F_154(x)*F_18(x))
Eq(F_154(x), F_145(x) + F_151(x))
Eq(F_155(x), F_140(x)*F_18(x))
Eq(F_156(x), F_157(x) + F_170(x))
Eq(F_157(x), F_158(x) + F_162(x))
Eq(F_158(x), F_159(x) + F_18(x))
Eq(F_159(x), F_135(x) + F_160(x) + F_161(x))
Eq(F_160(x), F_131(x)*F_18(x))
Eq(F_161(x), F_158(x)*F_18(x))
Eq(F_162(x), F_163(x) + F_166(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_18(x))
Eq(F_165(x), F_163(x) + F_18(x))
Eq(F_166(x), 2*F_135(x) + F_167(x) + F_169(x))
Eq(F_167(x), F_168(x)*F_18(x))
Eq(F_168(x), F_159(x) + F_166(x))
Eq(F_169(x), F_162(x)*F_18(x))
Eq(F_170(x), F_171(x) + F_187(x))
Eq(F_171(x), F_172(x) + F_179(x))
Eq(F_172(x), F_135(x) + F_173(x) + F_174(x))
Eq(F_173(x), F_112(x)*F_18(x))
Eq(F_174(x), F_175(x)*F_18(x))
Eq(F_175(x), F_165(x) + F_176(x))
Eq(F_176(x), F_172(x) + F_177(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_176(x)*F_18(x))
Eq(F_179(x), F_135(x) + F_180(x) + F_181(x) + F_188(x))
Eq(F_180(x), F_134(x)*F_18(x))
Eq(F_181(x), F_18(x)*F_182(x))
Eq(F_182(x), F_168(x) + F_183(x))
Eq(F_183(x), F_179(x) + F_184(x))
Eq(F_184(x), 3*F_135(x) + F_185(x) + F_186(x))
Eq(F_185(x), F_18(x)*F_183(x))
Eq(F_186(x), F_18(x)*F_187(x))
Eq(F_187(x), F_177(x) + F_184(x))
Eq(F_188(x), F_171(x)*F_18(x))
Eq(F_189(x), F_190(x) - F_192(x))
Eq(F_190(x), F_191(x)/F_18(x))
Eq(F_191(x), F_5(x))
Eq(F_192(x), F_11(x) + F_122(x))
Eq(F_193(x), F_194(x) + F_195(x))
Eq(F_194(x), F_2(x)**2)
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_121(x)*F_18(x)*F_197(x))
Eq(F_197(x), F_2(x) + F_80(x))
Eq(F_198(x), F_118(x) + F_51(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_11(x)*F_18(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_198(x)*F_25(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_18(x)*F_190(x)*F_82(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.factor", "strategy_class": "FactorStrategy", "ignore_parent": true, "workable": true, "partition": [[[0, 0], [2, 0]], [[1, 1]]]}}, "idx": 0}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 1, 3, 2], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 0], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[1, 2], [1, 2], [1, 2], [1, 2]]}, {"patt": [0, 3, 2, 1], "pos": [[1, 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[{"patt": [0], "pos": [[2, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[1, 0]]}], "indices": [0, 0, 0], "direction": 3, "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25430/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[18,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[18,x]*F[8,x]
F[8,x] = F[9,x]+F[99,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]*F[18,x]*F[25,x]
F[11,x] = 1/F[0,x]*F[12,x]
F[12,x] = -F[19,x]+F[13,x]
F[13,x] = 1/F[18,x]*F[14,x]
F[14,x] = F[15,x]
F[15,x] = -F[0,x]+F[16,x]
F[16,x] = 1/F[18,x]*F[17,x]
F[17,x] = F[2,x]
F[18,x] = x
F[19,x] = -F[24,x]+F[20,x]
F[20,x] = 1/F[18,x]*F[21,x]
F[21,x] = F[22,x]
F[22,x] = -F[23,x]+F[15,x]
F[23,x] = (x*F[23,x]+x-1)*(x*F[23,x]+x-2*F[23,x])
F[24,x] = F[11,x]*F[2,x]
F[25,x] = 1/F[18,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = 1/F[18,x]*F[28,x]
F[28,x] = F[29,x]
F[29,x] = F[30,x]+F[31,x]
F[30,x] = x^2
F[31,x] = F[32,x]
F[32,x] = F[18,x]*F[33,x]
F[33,x] = F[34,x]+F[69,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[29,x]
F[36,x] = F[37,x]
F[37,x] = F[18,x]*F[38,x]
F[38,x] = F[39,x]
F[39,x] = F[18,x]*F[40,x]
F[40,x] = 1/F[18,x]/F[51,x]*F[41,x]
F[41,x] = F[42,x]
F[42,x] = -F[49,x]+F[43,x]
F[43,x] = 1/F[18,x]*F[44,x]
F[44,x] = F[45,x]
F[45,x] = -F[2,x]+F[46,x]
F[46,x] = -F[0,x]+F[47,x]
F[47,x] = 1/F[18,x]*F[48,x]
F[48,x] = F[2,x]
F[49,x] = F[50,x]+F[52,x]
F[50,x] = F[2,x]*F[51,x]
F[51,x] = -1+(x^2-2*x)*F[51,x]^2+(2+x)*F[51,x]
F[52,x] = F[53,x]
F[53,x] = F[18,x]*F[54,x]
F[54,x] = F[55,x]+F[57,x]
F[55,x] = F[47,x]*F[56,x]
F[56,x] = F[2,x]+F[22,x]
F[57,x] = F[58,x]
F[58,x] = F[16,x]*F[18,x]*F[51,x]*F[59,x]
F[59,x] = 1/F[18,x]/F[51,x]/F[67,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = -F[68,x]+F[62,x]
F[62,x] = 1/F[18,x]*F[63,x]
F[63,x] = F[64,x]
F[64,x] = -F[65,x]+F[19,x]
F[65,x] = -F[66,x]+F[20,x]
F[66,x] = -F[67,x]+F[13,x]
F[67,x] = F[16,x]+F[9,x]
F[68,x] = F[47,x]*F[65,x]
F[69,x] = F[18,x]*F[70,x]
F[70,x] = F[71,x]+F[76,x]
F[71,x] = F[72,x]
F[72,x] = F[18,x]*F[73,x]
F[73,x] = F[47,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[18,x]*F[59,x]
F[76,x] = F[77,x]+F[95,x]
F[77,x] = F[78,x]
F[78,x] = F[18,x]*F[79,x]
F[79,x] = F[0,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[18,x]*F[82,x]
F[82,x] = 1/F[5,x]/F[51,x]*F[83,x]
F[83,x] = -F[93,x]+F[84,x]
F[84,x] = 1/F[18,x]*F[85,x]
F[85,x] = F[86,x]
F[86,x] = -F[91,x]+F[87,x]
F[87,x] = -F[90,x]+F[88,x]
F[88,x] = 1/F[18,x]*F[89,x]
F[89,x] = F[6,x]
F[90,x] = F[2,x]*F[4,x]
F[91,x] = F[92,x]
F[92,x] = F[0,x]*F[18,x]*F[25,x]*F[51,x]
F[93,x] = F[0,x]*F[25,x]*F[94,x]
F[94,x] = -F[51,x]+F[11,x]
F[95,x] = F[96,x]
F[96,x] = F[18,x]*F[97,x]
F[97,x] = F[98,x]
F[98,x] = F[18,x]*F[82,x]
F[99,x] = F[100,x]
F[100,x] = F[101,x]*F[18,x]
F[101,x] = F[102,x]+F[199,x]
F[102,x] = 1/F[18,x]*F[103,x]
F[103,x] = F[104,x]
F[104,x] = -F[198,x]+F[105,x]
F[105,x] = F[106,x]+F[117,x]
F[106,x] = F[0,x]+F[107,x]
F[107,x] = -F[108,x]+F[9,x]
F[108,x] = F[109,x]
F[109,x] = F[11,x]*F[110,x]*F[18,x]
F[110,x] = F[111,x]+F[115,x]
F[111,x] = F[112,x]*F[79,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[18,x]
F[114,x] = F[1,x]+F[112,x]
F[115,x] = F[116,x]
F[116,x] = F[114,x]*F[18,x]*F[40,x]
F[117,x] = F[118,x]+F[193,x]
F[118,x] = F[119,x]+F[2,x]
F[119,x] = F[120,x]
F[120,x] = F[121,x]*F[18,x]
F[121,x] = F[122,x]+F[189,x]
F[122,x] = F[118,x]+F[123,x]
F[123,x] = F[124,x]
F[124,x] = F[125,x]*F[18,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[130,x]*F[18,x]
F[127,x] = F[128,x]+F[156,x]
F[128,x] = F[129,x]+F[139,x]
F[129,x] = F[130,x]+F[133,x]
F[130,x] = F[1,x]+F[131,x]
F[131,x] = F[132,x]
F[132,x] = F[130,x]*F[18,x]
F[133,x] = F[112,x]+F[134,x]
F[134,x] = F[135,x]+F[136,x]+F[138,x]
F[135,x] = 0
F[136,x] = F[137,x]*F[18,x]
F[137,x] = F[131,x]+F[134,x]
F[138,x] = F[133,x]*F[18,x]
F[139,x] = F[140,x]+F[154,x]
F[140,x] = F[141,x]+F[147,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[18,x]
F[143,x] = F[114,x]+F[144,x]
F[144,x] = F[141,x]+F[145,x]
F[145,x] = F[146,x]
F[146,x] = F[144,x]*F[18,x]
F[147,x] = F[135,x]+F[148,x]+F[155,x]
F[148,x] = F[149,x]*F[18,x]
F[149,x] = F[137,x]+F[150,x]
F[150,x] = F[147,x]+F[151,x]
F[151,x] = 2*F[135,x]+F[152,x]+F[153,x]
F[152,x] = F[150,x]*F[18,x]
F[153,x] = F[154,x]*F[18,x]
F[154,x] = F[145,x]+F[151,x]
F[155,x] = F[140,x]*F[18,x]
F[156,x] = F[157,x]+F[170,x]
F[157,x] = F[158,x]+F[162,x]
F[158,x] = F[159,x]+F[18,x]
F[159,x] = F[135,x]+F[160,x]+F[161,x]
F[160,x] = F[131,x]*F[18,x]
F[161,x] = F[158,x]*F[18,x]
F[162,x] = F[163,x]+F[166,x]
F[163,x] = F[164,x]
F[164,x] = F[165,x]*F[18,x]
F[165,x] = F[163,x]+F[18,x]
F[166,x] = 2*F[135,x]+F[167,x]+F[169,x]
F[167,x] = F[168,x]*F[18,x]
F[168,x] = F[159,x]+F[166,x]
F[169,x] = F[162,x]*F[18,x]
F[170,x] = F[171,x]+F[187,x]
F[171,x] = F[172,x]+F[179,x]
F[172,x] = F[135,x]+F[173,x]+F[174,x]
F[173,x] = F[112,x]*F[18,x]
F[174,x] = F[175,x]*F[18,x]
F[175,x] = F[165,x]+F[176,x]
F[176,x] = F[172,x]+F[177,x]
F[177,x] = F[178,x]
F[178,x] = F[176,x]*F[18,x]
F[179,x] = F[135,x]+F[180,x]+F[181,x]+F[188,x]
F[180,x] = F[134,x]*F[18,x]
F[181,x] = F[18,x]*F[182,x]
F[182,x] = F[168,x]+F[183,x]
F[183,x] = F[179,x]+F[184,x]
F[184,x] = 3*F[135,x]+F[185,x]+F[186,x]
F[185,x] = F[18,x]*F[183,x]
F[186,x] = F[18,x]*F[187,x]
F[187,x] = F[177,x]+F[184,x]
F[188,x] = F[171,x]*F[18,x]
F[189,x] = -F[192,x]+F[190,x]
F[190,x] = 1/F[18,x]*F[191,x]
F[191,x] = F[5,x]
F[192,x] = F[11,x]+F[122,x]
F[193,x] = F[194,x]+F[195,x]
F[194,x] = F[2,x]^2
F[195,x] = F[196,x]
F[196,x] = F[121,x]*F[18,x]*F[197,x]
F[197,x] = F[2,x]+F[80,x]
F[198,x] = F[118,x]+F[51,x]
F[199,x] = F[200,x]
F[200,x] = F[11,x]*F[18,x]*F[201,x]
F[201,x] = F[202,x]+F[203,x]
F[202,x] = F[198,x]*F[25,x]
F[203,x] = F[204,x]
F[204,x] = F[18,x]*F[190,x]*F[82,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{18}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{18}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{9}\! \left(x \right)+F_{99}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{12}\! \left(x \right) = -F_{19}\! \left(x \right)+F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{14}\! \left(x \right) = F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{17}\! \left(x \right) = F_{2}\! \left(x \right)
F_{18}\! \left(x \right) = x
F_{19}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = \frac{F_{21}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{21}\! \left(x \right) = F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = -F_{23}\! \left(x \right)+F_{15}\! \left(x \right)
F_{23}\! \left(x \right) = x^{2} F_{23} \left(x \right)^{2}+2 x^{2} F_{23}\! \left(x \right)-2 x F_{23} \left(x \right)^{2}+x^{2}-3 x F_{23}\! \left(x \right)-x +2 F_{23}\! \left(x \right)
F_{24}\! \left(x \right) = F_{11}\! \left(x \right) F_{2}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)
F_{30}\! \left(x \right) = x^{2}
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = F_{18}\! \left(x \right) F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{34}\! \left(x \right)+F_{69}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{29}\! \left(x \right)
F_{36}\! \left(x \right) = F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{18}\! \left(x \right) F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{18}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{18}\! \left(x \right) F_{51}\! \left(x \right)}
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = -F_{49}\! \left(x \right)+F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = \frac{F_{44}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{47}\! \left(x \right)
F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{48}\! \left(x \right) = F_{2}\! \left(x \right)
F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{52}\! \left(x \right)
F_{50}\! \left(x \right) = F_{2}\! \left(x \right) F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = x^{2} F_{51} \left(x \right)^{2}-2 x F_{51} \left(x \right)^{2}+F_{51}\! \left(x \right) x +2 F_{51}\! \left(x \right)-1
F_{52}\! \left(x \right) = F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{18}\! \left(x \right) F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{57}\! \left(x \right)
F_{55}\! \left(x \right) = F_{47}\! \left(x \right) F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right) F_{51}\! \left(x \right) F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{18}\! \left(x \right) F_{51}\! \left(x \right) F_{67}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = -F_{68}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = \frac{F_{63}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{19}\! \left(x \right)
F_{65}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{20}\! \left(x \right)
F_{66}\! \left(x \right) = -F_{67}\! \left(x \right)+F_{13}\! \left(x \right)
F_{67}\! \left(x \right) = F_{16}\! \left(x \right)+F_{9}\! \left(x \right)
F_{68}\! \left(x \right) = F_{47}\! \left(x \right) F_{65}\! \left(x \right)
F_{69}\! \left(x \right) = F_{18}\! \left(x \right) F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)+F_{76}\! \left(x \right)
F_{71}\! \left(x \right) = F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{18}\! \left(x \right) F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{47}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{18}\! \left(x \right) F_{59}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{95}\! \left(x \right)
F_{77}\! \left(x \right) = F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{18}\! \left(x \right) F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{0}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{18}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = \frac{F_{83}\! \left(x \right)}{F_{5}\! \left(x \right) F_{51}\! \left(x \right)}
F_{83}\! \left(x \right) = -F_{93}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = \frac{F_{85}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{85}\! \left(x \right) = F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = -F_{91}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = -F_{90}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = \frac{F_{89}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{89}\! \left(x \right) = F_{6}\! \left(x \right)
F_{90}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{25}\! \left(x \right) F_{51}\! \left(x \right)
F_{93}\! \left(x \right) = F_{0}\! \left(x \right) F_{25}\! \left(x \right) F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = -F_{51}\! \left(x \right)+F_{11}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{18}\! \left(x \right) F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{18}\! \left(x \right) F_{82}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{18}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{199}\! \left(x \right)
F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = -F_{198}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{117}\! \left(x \right)
F_{106}\! \left(x \right) = F_{0}\! \left(x \right)+F_{107}\! \left(x \right)
F_{107}\! \left(x \right) = -F_{108}\! \left(x \right)+F_{9}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{11}\! \left(x \right) F_{110}\! \left(x \right) F_{18}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{115}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{79}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right)
F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{112}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = F_{114}\! \left(x \right) F_{18}\! \left(x \right) F_{40}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{193}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)+F_{2}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right)+F_{189}\! \left(x \right)
F_{122}\! \left(x \right) = F_{118}\! \left(x \right)+F_{123}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right) F_{18}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{130}\! \left(x \right) F_{18}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{156}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{139}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{133}\! \left(x \right)
F_{130}\! \left(x \right) = F_{1}\! \left(x \right)+F_{131}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{130}\! \left(x \right) F_{18}\! \left(x \right)
F_{133}\! \left(x \right) = F_{112}\! \left(x \right)+F_{134}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{136}\! \left(x \right)+F_{138}\! \left(x \right)
F_{135}\! \left(x \right) = 0
F_{136}\! \left(x \right) = F_{137}\! \left(x \right) F_{18}\! \left(x \right)
F_{137}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{138}\! \left(x \right) = F_{133}\! \left(x \right) F_{18}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{154}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)+F_{147}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{18}\! \left(x \right)
F_{143}\! \left(x \right) = F_{114}\! \left(x \right)+F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{141}\! \left(x \right)+F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{144}\! \left(x \right) F_{18}\! \left(x \right)
F_{147}\! \left(x \right) = F_{135}\! \left(x \right)+F_{148}\! \left(x \right)+F_{155}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right) F_{18}\! \left(x \right)
F_{149}\! \left(x \right) = F_{137}\! \left(x \right)+F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{147}\! \left(x \right)+F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = 2 F_{135}\! \left(x \right)+F_{152}\! \left(x \right)+F_{153}\! \left(x \right)
F_{152}\! \left(x \right) = F_{150}\! \left(x \right) F_{18}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{18}\! \left(x \right)
F_{154}\! \left(x \right) = F_{145}\! \left(x \right)+F_{151}\! \left(x \right)
F_{155}\! \left(x \right) = F_{140}\! \left(x \right) F_{18}\! \left(x \right)
F_{156}\! \left(x \right) = F_{157}\! \left(x \right)+F_{170}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)+F_{162}\! \left(x \right)
F_{158}\! \left(x \right) = F_{159}\! \left(x \right)+F_{18}\! \left(x \right)
F_{159}\! \left(x \right) = F_{135}\! \left(x \right)+F_{160}\! \left(x \right)+F_{161}\! \left(x \right)
F_{160}\! \left(x \right) = F_{131}\! \left(x \right) F_{18}\! \left(x \right)
F_{161}\! \left(x \right) = F_{158}\! \left(x \right) F_{18}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{166}\! \left(x \right)
F_{163}\! \left(x \right) = F_{164}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right) F_{18}\! \left(x \right)
F_{165}\! \left(x \right) = F_{163}\! \left(x \right)+F_{18}\! \left(x \right)
F_{166}\! \left(x \right) = 2 F_{135}\! \left(x \right)+F_{167}\! \left(x \right)+F_{169}\! \left(x \right)
F_{167}\! \left(x \right) = F_{168}\! \left(x \right) F_{18}\! \left(x \right)
F_{168}\! \left(x \right) = F_{159}\! \left(x \right)+F_{166}\! \left(x \right)
F_{169}\! \left(x \right) = F_{162}\! \left(x \right) F_{18}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{187}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{179}\! \left(x \right)
F_{172}\! \left(x \right) = F_{135}\! \left(x \right)+F_{173}\! \left(x \right)+F_{174}\! \left(x \right)
F_{173}\! \left(x \right) = F_{112}\! \left(x \right) F_{18}\! \left(x \right)
F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{18}\! \left(x \right)
F_{175}\! \left(x \right) = F_{165}\! \left(x \right)+F_{176}\! \left(x \right)
F_{176}\! \left(x \right) = F_{172}\! \left(x \right)+F_{177}\! \left(x \right)
F_{177}\! \left(x \right) = F_{178}\! \left(x \right)
F_{178}\! \left(x \right) = F_{176}\! \left(x \right) F_{18}\! \left(x \right)
F_{179}\! \left(x \right) = F_{135}\! \left(x \right)+F_{180}\! \left(x \right)+F_{181}\! \left(x \right)+F_{188}\! \left(x \right)
F_{180}\! \left(x \right) = F_{134}\! \left(x \right) F_{18}\! \left(x \right)
F_{181}\! \left(x \right) = F_{18}\! \left(x \right) F_{182}\! \left(x \right)
F_{182}\! \left(x \right) = F_{168}\! \left(x \right)+F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{179}\! \left(x \right)+F_{184}\! \left(x \right)
F_{184}\! \left(x \right) = 3 F_{135}\! \left(x \right)+F_{185}\! \left(x \right)+F_{186}\! \left(x \right)
F_{185}\! \left(x \right) = F_{18}\! \left(x \right) F_{183}\! \left(x \right)
F_{186}\! \left(x \right) = F_{18}\! \left(x \right) F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{177}\! \left(x \right)+F_{184}\! \left(x \right)
F_{188}\! \left(x \right) = F_{171}\! \left(x \right) F_{18}\! \left(x \right)
F_{189}\! \left(x \right) = -F_{192}\! \left(x \right)+F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{18}\! \left(x \right)}
F_{191}\! \left(x \right) = F_{5}\! \left(x \right)
F_{192}\! \left(x \right) = F_{11}\! \left(x \right)+F_{122}\! \left(x \right)
F_{193}\! \left(x \right) = F_{194}\! \left(x \right)+F_{195}\! \left(x \right)
F_{194}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{195}\! \left(x \right) = F_{196}\! \left(x \right)
F_{196}\! \left(x \right) = F_{121}\! \left(x \right) F_{18}\! \left(x \right) F_{197}\! \left(x \right)
F_{197}\! \left(x \right) = F_{2}\! \left(x \right)+F_{80}\! \left(x \right)
F_{198}\! \left(x \right) = F_{118}\! \left(x \right)+F_{51}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{11}\! \left(x \right) F_{18}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{203}\! \left(x \right)
F_{202}\! \left(x \right) = F_{198}\! \left(x \right) F_{25}\! \left(x \right)
F_{203}\! \left(x \right) = F_{204}\! \left(x \right)
F_{204}\! \left(x \right) = F_{18}\! \left(x \right) F_{190}\! \left(x \right) F_{82}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_18(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_18(x)*F_8(x))
Eq(F_8(x), F_9(x) + F_99(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x)*F_18(x)*F_25(x))
Eq(F_11(x), F_12(x)/F_0(x))
Eq(F_12(x), F_13(x) - F_19(x))
Eq(F_13(x), F_14(x)/F_18(x))
Eq(F_14(x), F_15(x))
Eq(F_15(x), -F_0(x) + F_16(x))
Eq(F_16(x), F_17(x)/F_18(x))
Eq(F_17(x), F_2(x))
Eq(F_18(x), x)
Eq(F_19(x), F_20(x) - F_24(x))
Eq(F_20(x), F_21(x)/F_18(x))
Eq(F_21(x), F_22(x))
Eq(F_22(x), F_15(x) - F_23(x))
Eq(F_23(x), x*(x - 2)*(F_23(x) + 1)**2 + (x + 1)*(F_23(x) + 1) + F_23(x) - 1)
Eq(F_24(x), F_11(x)*F_2(x))
Eq(F_25(x), F_26(x)/F_18(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)/F_18(x))
Eq(F_28(x), F_29(x))
Eq(F_29(x), F_30(x) + F_31(x))
Eq(F_30(x), x**2)
Eq(F_31(x), F_32(x))
Eq(F_32(x), F_18(x)*F_33(x))
Eq(F_33(x), F_34(x) + F_69(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_29(x))
Eq(F_36(x), F_37(x))
Eq(F_37(x), F_18(x)*F_38(x))
Eq(F_38(x), F_39(x))
Eq(F_39(x), F_18(x)*F_40(x))
Eq(F_40(x), F_41(x)/(F_18(x)*F_51(x)))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_43(x) - F_49(x))
Eq(F_43(x), F_44(x)/F_18(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), -F_2(x) + F_46(x))
Eq(F_46(x), -F_0(x) + F_47(x))
Eq(F_47(x), F_48(x)/F_18(x))
Eq(F_48(x), F_2(x))
Eq(F_49(x), F_50(x) + F_52(x))
Eq(F_50(x), F_2(x)*F_51(x))
Eq(F_51(x), x*(x - 2)*F_51(x)**2 + (x + 2)*F_51(x) - 1)
Eq(F_52(x), F_53(x))
Eq(F_53(x), F_18(x)*F_54(x))
Eq(F_54(x), F_55(x) + F_57(x))
Eq(F_55(x), F_47(x)*F_56(x))
Eq(F_56(x), F_2(x) + F_22(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_16(x)*F_18(x)*F_51(x)*F_59(x))
Eq(F_59(x), F_60(x)/(F_18(x)*F_51(x)*F_67(x)))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_62(x) - F_68(x))
Eq(F_62(x), F_63(x)/F_18(x))
Eq(F_63(x), F_64(x))
Eq(F_64(x), F_19(x) - F_65(x))
Eq(F_65(x), F_20(x) - F_66(x))
Eq(F_66(x), F_13(x) - F_67(x))
Eq(F_67(x), F_16(x) + F_9(x))
Eq(F_68(x), F_47(x)*F_65(x))
Eq(F_69(x), F_18(x)*F_70(x))
Eq(F_70(x), F_71(x) + F_76(x))
Eq(F_71(x), F_72(x))
Eq(F_72(x), F_18(x)*F_73(x))
Eq(F_73(x), F_47(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_18(x)*F_59(x))
Eq(F_76(x), F_77(x) + F_95(x))
Eq(F_77(x), F_78(x))
Eq(F_78(x), F_18(x)*F_79(x))
Eq(F_79(x), F_0(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_18(x)*F_82(x))
Eq(F_82(x), F_83(x)/(F_5(x)*F_51(x)))
Eq(F_83(x), F_84(x) - F_93(x))
Eq(F_84(x), F_85(x)/F_18(x))
Eq(F_85(x), F_86(x))
Eq(F_86(x), F_87(x) - F_91(x))
Eq(F_87(x), F_88(x) - F_90(x))
Eq(F_88(x), F_89(x)/F_18(x))
Eq(F_89(x), F_6(x))
Eq(F_90(x), F_2(x)*F_4(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_0(x)*F_18(x)*F_25(x)*F_51(x))
Eq(F_93(x), F_0(x)*F_25(x)*F_94(x))
Eq(F_94(x), F_11(x) - F_51(x))
Eq(F_95(x), F_96(x))
Eq(F_96(x), F_18(x)*F_97(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_18(x)*F_82(x))
Eq(F_99(x), F_100(x))
Eq(F_100(x), F_101(x)*F_18(x))
Eq(F_101(x), F_102(x) + F_199(x))
Eq(F_102(x), F_103(x)/F_18(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x) - F_198(x))
Eq(F_105(x), F_106(x) + F_117(x))
Eq(F_106(x), F_0(x) + F_107(x))
Eq(F_107(x), -F_108(x) + F_9(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_11(x)*F_110(x)*F_18(x))
Eq(F_110(x), F_111(x) + F_115(x))
Eq(F_111(x), F_112(x)*F_79(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_18(x))
Eq(F_114(x), F_1(x) + F_112(x))
Eq(F_115(x), F_116(x))
Eq(F_116(x), F_114(x)*F_18(x)*F_40(x))
Eq(F_117(x), F_118(x) + F_193(x))
Eq(F_118(x), F_119(x) + F_2(x))
Eq(F_119(x), F_120(x))
Eq(F_120(x), F_121(x)*F_18(x))
Eq(F_121(x), F_122(x) + F_189(x))
Eq(F_122(x), F_118(x) + F_123(x))
Eq(F_123(x), F_124(x))
Eq(F_124(x), F_125(x)*F_18(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_130(x)*F_18(x))
Eq(F_127(x), F_128(x) + F_156(x))
Eq(F_128(x), F_129(x) + F_139(x))
Eq(F_129(x), F_130(x) + F_133(x))
Eq(F_130(x), F_1(x) + F_131(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_130(x)*F_18(x))
Eq(F_133(x), F_112(x) + F_134(x))
Eq(F_134(x), F_135(x) + F_136(x) + F_138(x))
Eq(F_135(x), 0)
Eq(F_136(x), F_137(x)*F_18(x))
Eq(F_137(x), F_131(x) + F_134(x))
Eq(F_138(x), F_133(x)*F_18(x))
Eq(F_139(x), F_140(x) + F_154(x))
Eq(F_140(x), F_141(x) + F_147(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_18(x))
Eq(F_143(x), F_114(x) + F_144(x))
Eq(F_144(x), F_141(x) + F_145(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_144(x)*F_18(x))
Eq(F_147(x), F_135(x) + F_148(x) + F_155(x))
Eq(F_148(x), F_149(x)*F_18(x))
Eq(F_149(x), F_137(x) + F_150(x))
Eq(F_150(x), F_147(x) + F_151(x))
Eq(F_151(x), 2*F_135(x) + F_152(x) + F_153(x))
Eq(F_152(x), F_150(x)*F_18(x))
Eq(F_153(x), F_154(x)*F_18(x))
Eq(F_154(x), F_145(x) + F_151(x))
Eq(F_155(x), F_140(x)*F_18(x))
Eq(F_156(x), F_157(x) + F_170(x))
Eq(F_157(x), F_158(x) + F_162(x))
Eq(F_158(x), F_159(x) + F_18(x))
Eq(F_159(x), F_135(x) + F_160(x) + F_161(x))
Eq(F_160(x), F_131(x)*F_18(x))
Eq(F_161(x), F_158(x)*F_18(x))
Eq(F_162(x), F_163(x) + F_166(x))
Eq(F_163(x), F_164(x))
Eq(F_164(x), F_165(x)*F_18(x))
Eq(F_165(x), F_163(x) + F_18(x))
Eq(F_166(x), 2*F_135(x) + F_167(x) + F_169(x))
Eq(F_167(x), F_168(x)*F_18(x))
Eq(F_168(x), F_159(x) + F_166(x))
Eq(F_169(x), F_162(x)*F_18(x))
Eq(F_170(x), F_171(x) + F_187(x))
Eq(F_171(x), F_172(x) + F_179(x))
Eq(F_172(x), F_135(x) + F_173(x) + F_174(x))
Eq(F_173(x), F_112(x)*F_18(x))
Eq(F_174(x), F_175(x)*F_18(x))
Eq(F_175(x), F_165(x) + F_176(x))
Eq(F_176(x), F_172(x) + F_177(x))
Eq(F_177(x), F_178(x))
Eq(F_178(x), F_176(x)*F_18(x))
Eq(F_179(x), F_135(x) + F_180(x) + F_181(x) + F_188(x))
Eq(F_180(x), F_134(x)*F_18(x))
Eq(F_181(x), F_18(x)*F_182(x))
Eq(F_182(x), F_168(x) + F_183(x))
Eq(F_183(x), F_179(x) + F_184(x))
Eq(F_184(x), 3*F_135(x) + F_185(x) + F_186(x))
Eq(F_185(x), F_18(x)*F_183(x))
Eq(F_186(x), F_18(x)*F_187(x))
Eq(F_187(x), F_177(x) + F_184(x))
Eq(F_188(x), F_171(x)*F_18(x))
Eq(F_189(x), F_190(x) - F_192(x))
Eq(F_190(x), F_191(x)/F_18(x))
Eq(F_191(x), F_5(x))
Eq(F_192(x), F_11(x) + F_122(x))
Eq(F_193(x), F_194(x) + F_195(x))
Eq(F_194(x), F_2(x)**2)
Eq(F_195(x), F_196(x))
Eq(F_196(x), F_121(x)*F_18(x)*F_197(x))
Eq(F_197(x), F_2(x) + F_80(x))
Eq(F_198(x), F_118(x) + F_51(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_11(x)*F_18(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_203(x))
Eq(F_202(x), F_198(x)*F_25(x))
Eq(F_203(x), F_204(x))
Eq(F_204(x), F_18(x)*F_190(x)*F_82(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 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[{"patt": [0], "pos": [[2, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[3, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[2, 1], [2, 1]]}, {"patt": [0, 1], "pos": [[3, 0], [3, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[3, 0], [3, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[0, 1], [1, 1], [1, 1]]}, {"patt": [1, 0, 2], "pos": [[1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[1, 1]]}], [{"patt": [0], "pos": [[3, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[2, 0]]}, {"patt": [0], "pos": [[1, 0]]}], "indices": [0, 0, 0], "direction": 3, "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": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/25473/
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[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[80,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]+F[149,x]
F[11,x] = 1/F[22,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = x^2
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[22,x]
F[17,x] = F[18,x]+F[67,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[13,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[23,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = 1/F[22,x]/F[36,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[34,x]+F[28,x]
F[28,x] = 1/F[22,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[2,x]+F[31,x]
F[31,x] = -F[0,x]+F[32,x]
F[32,x] = 1/F[22,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]+F[37,x]
F[35,x] = F[2,x]*F[36,x]
F[36,x] = -1+(x^2-2*x)*F[36,x]^2+(2+x)*F[36,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[44,x]
F[40,x] = F[32,x]*F[41,x]
F[41,x] = -F[36,x]+F[42,x]
F[42,x] = 1/F[22,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = F[45,x]
F[45,x] = F[22,x]*F[36,x]*F[42,x]*F[46,x]
F[46,x] = 1/F[22,x]/F[36,x]/F[65,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = -F[66,x]+F[49,x]
F[49,x] = 1/F[22,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[63,x]+F[52,x]
F[52,x] = -F[56,x]+F[53,x]
F[53,x] = 1/F[22,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[41,x]
F[56,x] = F[2,x]*F[57,x]
F[57,x] = 1/F[0,x]*F[58,x]
F[58,x] = -F[52,x]+F[59,x]
F[59,x] = 1/F[22,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[55,x]+F[62,x]
F[62,x] = (x*F[62,x]+x-2*F[62,x])*(x*F[62,x]+x-1)
F[63,x] = -F[64,x]+F[53,x]
F[64,x] = -F[65,x]+F[59,x]
F[65,x] = F[42,x]+F[9,x]
F[66,x] = F[32,x]*F[63,x]
F[67,x] = F[22,x]*F[68,x]
F[68,x] = F[144,x]+F[69,x]
F[69,x] = F[140,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]*F[72,x]
F[72,x] = F[0,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[75,x]
F[75,x] = 1/F[2,x]/F[36,x]*F[76,x]
F[76,x] = -F[137,x]+F[77,x]
F[77,x] = 1/F[22,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = -F[136,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[22,x]*F[82,x]
F[82,x] = F[128,x]+F[83,x]
F[83,x] = 1/F[22,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[109,x]+F[86,x]
F[86,x] = F[100,x]+F[87,x]
F[87,x] = F[0,x]+F[88,x]
F[88,x] = -F[89,x]+F[9,x]
F[89,x] = F[90,x]
F[90,x] = F[22,x]*F[57,x]*F[91,x]
F[91,x] = F[92,x]+F[97,x]
F[92,x] = F[72,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[95,x]
F[95,x] = F[22,x]*F[96,x]
F[96,x] = F[1,x]+F[94,x]
F[97,x] = F[98,x]
F[98,x] = F[22,x]*F[25,x]*F[99,x]
F[99,x] = F[96,x]
F[100,x] = F[101,x]+F[123,x]
F[101,x] = F[102,x]+F[2,x]
F[102,x] = F[103,x]
F[103,x] = F[104,x]*F[22,x]
F[104,x] = F[105,x]+F[121,x]
F[105,x] = F[106,x]
F[106,x] = F[107,x]*F[22,x]
F[107,x] = F[108,x]+F[110,x]
F[108,x] = F[109,x]*F[57,x]
F[109,x] = F[101,x]+F[36,x]
F[110,x] = F[111,x]
F[111,x] = F[112,x]*F[114,x]*F[22,x]*F[36,x]
F[112,x] = 1/F[22,x]*F[113,x]
F[113,x] = F[5,x]
F[114,x] = F[115,x]+F[96,x]
F[115,x] = F[116,x]+F[93,x]
F[116,x] = F[117,x]+F[118,x]+F[120,x]
F[117,x] = 0
F[118,x] = F[119,x]*F[22,x]
F[119,x] = F[116,x]+F[94,x]
F[120,x] = F[115,x]*F[22,x]
F[121,x] = -F[122,x]+F[112,x]
F[122,x] = F[105,x]+F[57,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[2,x]^2
F[125,x] = F[126,x]
F[126,x] = F[104,x]*F[127,x]*F[22,x]
F[127,x] = F[2,x]+F[73,x]
F[128,x] = F[129,x]
F[129,x] = F[130,x]*F[22,x]*F[57,x]
F[130,x] = F[131,x]+F[134,x]
F[131,x] = F[109,x]*F[132,x]
F[132,x] = F[133,x]+F[97,x]
F[133,x] = F[72,x]*F[99,x]
F[134,x] = F[135,x]
F[135,x] = F[112,x]*F[22,x]*F[75,x]
F[136,x] = F[2,x]*F[42,x]
F[137,x] = F[138,x]+F[139,x]
F[138,x] = F[132,x]*F[2,x]*F[57,x]
F[139,x] = F[36,x]*F[6,x]*F[75,x]
F[140,x] = F[141,x]
F[141,x] = F[142,x]*F[22,x]
F[142,x] = F[143,x]
F[143,x] = F[22,x]*F[75,x]
F[144,x] = F[145,x]
F[145,x] = F[146,x]*F[22,x]
F[146,x] = F[147,x]+F[32,x]
F[147,x] = F[148,x]
F[148,x] = F[22,x]*F[46,x]
F[149,x] = F[150,x]
F[150,x] = F[132,x]*F[151,x]*F[22,x]
F[151,x] = F[152,x]+F[62,x]
F[152,x] = -F[36,x]+F[57,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_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{80}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{149}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = x^{2}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{67}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{13}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{37}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = x^{2} F_{36} \left(x \right)^{2}-2 x F_{36} \left(x \right)^{2}+F_{36}\! \left(x \right) x +2 F_{36}\! \left(x \right)-1
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{42}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{65}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{58}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{55}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = x^{2} F_{62} \left(x \right)^{2}+2 x^{2} F_{62}\! \left(x \right)-2 x F_{62} \left(x \right)^{2}+x^{2}-3 x F_{62}\! \left(x \right)-x +2 F_{62}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{53}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{59}\! \left(x \right)
F_{65}\! \left(x \right) = F_{42}\! \left(x \right)+F_{9}\! \left(x \right)
F_{66}\! \left(x \right) = F_{32}\! \left(x \right) F_{63}\! \left(x \right)
F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{144}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{140}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{2}\! \left(x \right) F_{36}\! \left(x \right)}
F_{76}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{136}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{128}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{109}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{100}\! \left(x \right)+F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{9}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{22}\! \left(x \right) F_{57}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{97}\! \left(x \right)
F_{92}\! \left(x \right) = F_{72}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{22}\! \left(x \right) F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{1}\! \left(x \right)+F_{94}\! \left(x \right)
F_{97}\! \left(x \right) = F_{98}\! \left(x \right)
F_{98}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{96}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{123}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right)+F_{2}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{22}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{121}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{22}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{110}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{57}\! \left(x \right)
F_{109}\! \left(x \right) = F_{101}\! \left(x \right)+F_{36}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)
F_{111}\! \left(x \right) = F_{112}\! \left(x \right) F_{114}\! \left(x \right) F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{112}\! \left(x \right) = \frac{F_{113}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{113}\! \left(x \right) = F_{5}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{96}\! \left(x \right)
F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{93}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{118}\! \left(x \right)+F_{120}\! \left(x \right)
F_{117}\! \left(x \right) = 0
F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{22}\! \left(x \right)
F_{119}\! \left(x \right) = F_{116}\! \left(x \right)+F_{94}\! \left(x \right)
F_{120}\! \left(x \right) = F_{115}\! \left(x \right) F_{22}\! \left(x \right)
F_{121}\! \left(x \right) = -F_{122}\! \left(x \right)+F_{112}\! \left(x \right)
F_{122}\! \left(x \right) = F_{105}\! \left(x \right)+F_{57}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{104}\! \left(x \right) F_{127}\! \left(x \right) F_{22}\! \left(x \right)
F_{127}\! \left(x \right) = F_{2}\! \left(x \right)+F_{73}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right) F_{22}\! \left(x \right) F_{57}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{134}\! \left(x \right)
F_{131}\! \left(x \right) = F_{109}\! \left(x \right) F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{97}\! \left(x \right)
F_{133}\! \left(x \right) = F_{72}\! \left(x \right) F_{99}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{112}\! \left(x \right) F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{136}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{139}\! \left(x \right)
F_{138}\! \left(x \right) = F_{132}\! \left(x \right) F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{139}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right) F_{75}\! \left(x \right)
F_{140}\! \left(x \right) = F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{22}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{22}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right)+F_{32}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{22}\! \left(x \right) F_{46}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)
F_{150}\! \left(x \right) = F_{132}\! \left(x \right) F_{151}\! \left(x \right) F_{22}\! \left(x \right)
F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{62}\! \left(x \right)
F_{152}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{57}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_80(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x) + F_149(x))
Eq(F_11(x), F_12(x)/F_22(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), x**2)
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_22(x))
Eq(F_17(x), F_18(x) + F_67(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_13(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_23(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x)/(F_22(x)*F_36(x)))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_34(x))
Eq(F_28(x), F_29(x)/F_22(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_2(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_22(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x) + F_37(x))
Eq(F_35(x), F_2(x)*F_36(x))
Eq(F_36(x), x*(x - 2)*F_36(x)**2 + (x + 2)*F_36(x) - 1)
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_44(x))
Eq(F_40(x), F_32(x)*F_41(x))
Eq(F_41(x), -F_36(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_22(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_22(x)*F_36(x)*F_42(x)*F_46(x))
Eq(F_46(x), F_47(x)/(F_22(x)*F_36(x)*F_65(x)))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x) - F_66(x))
Eq(F_49(x), F_50(x)/F_22(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) - F_63(x))
Eq(F_52(x), F_53(x) - F_56(x))
Eq(F_53(x), F_54(x)/F_22(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_41(x))
Eq(F_56(x), F_2(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_0(x))
Eq(F_58(x), -F_52(x) + F_59(x))
Eq(F_59(x), F_60(x)/F_22(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_55(x) + F_62(x))
Eq(F_62(x), x*(x - 2)*(F_62(x) + 1)**2 + (x + 1)*(F_62(x) + 1) + F_62(x) - 1)
Eq(F_63(x), F_53(x) - F_64(x))
Eq(F_64(x), F_59(x) - F_65(x))
Eq(F_65(x), F_42(x) + F_9(x))
Eq(F_66(x), F_32(x)*F_63(x))
Eq(F_67(x), F_22(x)*F_68(x))
Eq(F_68(x), F_144(x) + F_69(x))
Eq(F_69(x), F_140(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)*F_72(x))
Eq(F_72(x), F_0(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_75(x))
Eq(F_75(x), F_76(x)/(F_2(x)*F_36(x)))
Eq(F_76(x), -F_137(x) + F_77(x))
Eq(F_77(x), F_78(x)/F_22(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), -F_136(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_22(x)*F_82(x))
Eq(F_82(x), F_128(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_22(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_109(x) + F_86(x))
Eq(F_86(x), F_100(x) + F_87(x))
Eq(F_87(x), F_0(x) + F_88(x))
Eq(F_88(x), -F_89(x) + F_9(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_22(x)*F_57(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_97(x))
Eq(F_92(x), F_72(x)*F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_95(x))
Eq(F_95(x), F_22(x)*F_96(x))
Eq(F_96(x), F_1(x) + F_94(x))
Eq(F_97(x), F_98(x))
Eq(F_98(x), F_22(x)*F_25(x)*F_99(x))
Eq(F_99(x), F_96(x))
Eq(F_100(x), F_101(x) + F_123(x))
Eq(F_101(x), F_102(x) + F_2(x))
Eq(F_102(x), F_103(x))
Eq(F_103(x), F_104(x)*F_22(x))
Eq(F_104(x), F_105(x) + F_121(x))
Eq(F_105(x), F_106(x))
Eq(F_106(x), F_107(x)*F_22(x))
Eq(F_107(x), F_108(x) + F_110(x))
Eq(F_108(x), F_109(x)*F_57(x))
Eq(F_109(x), F_101(x) + F_36(x))
Eq(F_110(x), F_111(x))
Eq(F_111(x), F_112(x)*F_114(x)*F_22(x)*F_36(x))
Eq(F_112(x), F_113(x)/F_22(x))
Eq(F_113(x), F_5(x))
Eq(F_114(x), F_115(x) + F_96(x))
Eq(F_115(x), F_116(x) + F_93(x))
Eq(F_116(x), F_117(x) + F_118(x) + F_120(x))
Eq(F_117(x), 0)
Eq(F_118(x), F_119(x)*F_22(x))
Eq(F_119(x), F_116(x) + F_94(x))
Eq(F_120(x), F_115(x)*F_22(x))
Eq(F_121(x), F_112(x) - F_122(x))
Eq(F_122(x), F_105(x) + F_57(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_2(x)**2)
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_104(x)*F_127(x)*F_22(x))
Eq(F_127(x), F_2(x) + F_73(x))
Eq(F_128(x), F_129(x))
Eq(F_129(x), F_130(x)*F_22(x)*F_57(x))
Eq(F_130(x), F_131(x) + F_134(x))
Eq(F_131(x), F_109(x)*F_132(x))
Eq(F_132(x), F_133(x) + F_97(x))
Eq(F_133(x), F_72(x)*F_99(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_112(x)*F_22(x)*F_75(x))
Eq(F_136(x), F_2(x)*F_42(x))
Eq(F_137(x), F_138(x) + F_139(x))
Eq(F_138(x), F_132(x)*F_2(x)*F_57(x))
Eq(F_139(x), F_36(x)*F_6(x)*F_75(x))
Eq(F_140(x), F_141(x))
Eq(F_141(x), F_142(x)*F_22(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), F_22(x)*F_75(x))
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x)*F_22(x))
Eq(F_146(x), F_147(x) + F_32(x))
Eq(F_147(x), F_148(x))
Eq(F_148(x), F_22(x)*F_46(x))
Eq(F_149(x), F_150(x))
Eq(F_150(x), F_132(x)*F_151(x)*F_22(x))
Eq(F_151(x), F_152(x) + F_62(x))
Eq(F_152(x), -F_36(x) + F_57(x))
Pack JSON:
{"name": "point_placements_tracked_fusion_tracked_component_fusion_symmetries", "initial_strats": [{"class_module": "tilings.strategies.rearrange_assumption", "strategy_class": "RearrangeAssumptionFactory"}, {"class_module": "tilings.strategies.assumption_insertion", "strategy_class": "AddAssumptionFactory"}, {"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.fusion.fusion", "strategy_class": "FusionFactory", "tracked": true}, {"class_module": "tilings.strategies.fusion.component", "strategy_class": "ComponentFusionFactory", "tracked": true, "isolation_level": null}, {"class_module": "tilings.strategies.detect_components", "strategy_class": "DetectComponentsStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": true, "workable": true}, {"class_module": "tilings.strategies.monotone_sliding", "strategy_class": "MonotoneSlidingFactory"}, {"class_module": "tilings.strategies.point_jumping", "strategy_class": "AssumptionAndPointJumpingFactory"}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "ComponentVerificationStrategy", "ignore_parent": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
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"pos": [[4, 1]]}, {"patt": [0], "pos": [[4, 2]]}, {"patt": [0], "pos": [[4, 3]]}, {"patt": [0], "pos": [[4, 4]]}, {"patt": [0], "pos": [[4, 5]]}, {"patt": [0, 1], "pos": [[0, 3], [2, 3]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 2]]}, {"patt": [0, 1], "pos": [[2, 0], [2, 3]]}, {"patt": [0, 1], "pos": [[2, 0], [4, 0]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 2]]}, {"patt": [0, 1], "pos": [[2, 2], [2, 3]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[3, 2], [3, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 3], [0, 4], [0, 5]]}, {"patt": [0, 1, 2], "pos": [[0, 3], [0, 5], [0, 5]]}, {"patt": [0, 1, 2], "pos": [[0, 4], [0, 4], [0, 5]]}, {"patt": [0, 1, 2], "pos": [[0, 4], [0, 5], [0, 5]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 3], [0, 5], [0, 5]]}, {"patt": [0, 2, 1], "pos": [[0, 4], [0, 5], [0, 5]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 0], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[2, 0], [3, 2], [3, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [3, 2], [4, 0]]}, {"patt": [0, 2, 1], "pos": [[3, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 5]]}, {"patt": [0, 1, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 1, 3, 2], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 1, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 2, 3, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 2, 3, 1], "pos": [[3, 0], [3, 2], [3, 2], [3, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 4], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 5], [0, 3], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 5], [0, 4], [0, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 3], [0, 5], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 4], [0, 4], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 4], [0, 5], [0, 4], [0, 4]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 5], [0, 5], [0, 5], [0, 5]]}, {"patt": [0, 3, 2, 1], "pos": [[2, 3], [2, 3], [2, 3], [2, 3]]}, {"patt": [0, 3, 2, 1], "pos": [[3, 0], [3, 2], [3, 0], [3, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 5]]}, {"patt": [1, 0, 2, 3], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[2, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [4, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 4]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 4]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": true}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": 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, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25503/
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[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[80,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]+F[150,x]
F[11,x] = 1/F[22,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = x^2
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[22,x]
F[17,x] = F[18,x]+F[67,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[13,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[23,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = 1/F[22,x]/F[36,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[34,x]+F[28,x]
F[28,x] = 1/F[22,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[2,x]+F[31,x]
F[31,x] = -F[0,x]+F[32,x]
F[32,x] = 1/F[22,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]+F[37,x]
F[35,x] = F[2,x]*F[36,x]
F[36,x] = -1+(x^2-2*x)*F[36,x]^2+(2+x)*F[36,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[44,x]
F[40,x] = F[32,x]*F[41,x]
F[41,x] = -F[36,x]+F[42,x]
F[42,x] = 1/F[22,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = F[45,x]
F[45,x] = F[22,x]*F[36,x]*F[42,x]*F[46,x]
F[46,x] = 1/F[22,x]/F[36,x]/F[65,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = -F[66,x]+F[49,x]
F[49,x] = 1/F[22,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[63,x]+F[52,x]
F[52,x] = -F[56,x]+F[53,x]
F[53,x] = 1/F[22,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[41,x]
F[56,x] = F[2,x]*F[57,x]
F[57,x] = 1/F[0,x]*F[58,x]
F[58,x] = -F[52,x]+F[59,x]
F[59,x] = 1/F[22,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[55,x]+F[62,x]
F[62,x] = (x*F[62,x]+x-2*F[62,x])*(x*F[62,x]+x-1)
F[63,x] = -F[64,x]+F[53,x]
F[64,x] = -F[65,x]+F[59,x]
F[65,x] = F[42,x]+F[9,x]
F[66,x] = F[32,x]*F[63,x]
F[67,x] = F[22,x]*F[68,x]
F[68,x] = F[145,x]+F[69,x]
F[69,x] = F[141,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]*F[72,x]
F[72,x] = F[0,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[75,x]
F[75,x] = 1/F[2,x]/F[36,x]*F[76,x]
F[76,x] = -F[138,x]+F[77,x]
F[77,x] = 1/F[22,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = -F[137,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[22,x]*F[82,x]
F[82,x] = F[129,x]+F[83,x]
F[83,x] = 1/F[22,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[107,x]+F[86,x]
F[86,x] = F[87,x]+F[98,x]
F[87,x] = F[0,x]+F[88,x]
F[88,x] = -F[89,x]+F[9,x]
F[89,x] = F[90,x]
F[90,x] = F[22,x]*F[57,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[72,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[22,x]*F[95,x]
F[95,x] = F[1,x]+F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[22,x]*F[25,x]*F[95,x]
F[98,x] = F[124,x]+F[99,x]
F[99,x] = F[100,x]+F[2,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]
F[102,x] = F[103,x]+F[122,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[22,x]
F[105,x] = F[106,x]+F[108,x]
F[106,x] = F[107,x]*F[57,x]
F[107,x] = F[36,x]+F[99,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[112,x]*F[22,x]*F[36,x]
F[110,x] = 1/F[22,x]*F[111,x]
F[111,x] = F[5,x]
F[112,x] = F[113,x]+F[116,x]
F[113,x] = F[1,x]+F[114,x]
F[114,x] = F[115,x]
F[115,x] = F[113,x]*F[22,x]
F[116,x] = F[117,x]+F[93,x]
F[117,x] = F[118,x]+F[119,x]+F[121,x]
F[118,x] = 0
F[119,x] = F[120,x]*F[22,x]
F[120,x] = F[114,x]+F[117,x]
F[121,x] = F[116,x]*F[22,x]
F[122,x] = -F[123,x]+F[110,x]
F[123,x] = F[103,x]+F[57,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[2,x]^2
F[126,x] = F[127,x]
F[127,x] = F[102,x]*F[128,x]*F[22,x]
F[128,x] = F[2,x]+F[73,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[22,x]*F[57,x]
F[131,x] = F[132,x]+F[135,x]
F[132,x] = F[107,x]*F[133,x]
F[133,x] = F[134,x]+F[96,x]
F[134,x] = F[72,x]*F[95,x]
F[135,x] = F[136,x]
F[136,x] = F[110,x]*F[22,x]*F[75,x]
F[137,x] = F[2,x]*F[42,x]
F[138,x] = F[139,x]+F[140,x]
F[139,x] = F[133,x]*F[2,x]*F[57,x]
F[140,x] = F[36,x]*F[6,x]*F[75,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[22,x]
F[143,x] = F[144,x]
F[144,x] = F[22,x]*F[75,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[22,x]
F[147,x] = F[148,x]+F[32,x]
F[148,x] = F[149,x]
F[149,x] = F[22,x]*F[46,x]
F[150,x] = F[151,x]
F[151,x] = F[133,x]*F[152,x]*F[22,x]
F[152,x] = F[153,x]+F[62,x]
F[153,x] = -F[36,x]+F[57,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_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{80}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{150}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = x^{2}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{67}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{13}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{37}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = x^{2} F_{36} \left(x \right)^{2}-2 x F_{36} \left(x \right)^{2}+F_{36}\! \left(x \right) x +2 F_{36}\! \left(x \right)-1
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{42}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{65}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{58}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{55}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = x^{2} F_{62} \left(x \right)^{2}+2 x^{2} F_{62}\! \left(x \right)-2 x F_{62} \left(x \right)^{2}+x^{2}-3 x F_{62}\! \left(x \right)-x +2 F_{62}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{53}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{59}\! \left(x \right)
F_{65}\! \left(x \right) = F_{42}\! \left(x \right)+F_{9}\! \left(x \right)
F_{66}\! \left(x \right) = F_{32}\! \left(x \right) F_{63}\! \left(x \right)
F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{145}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{141}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{2}\! \left(x \right) F_{36}\! \left(x \right)}
F_{76}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{129}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{98}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{9}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{22}\! \left(x \right) F_{57}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{72}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{22}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{1}\! \left(x \right)+F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{95}\! \left(x \right)
F_{98}\! \left(x \right) = F_{124}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{2}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{122}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{108}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{57}\! \left(x \right)
F_{107}\! \left(x \right) = F_{36}\! \left(x \right)+F_{99}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{112}\! \left(x \right) F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{5}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{116}\! \left(x \right)
F_{113}\! \left(x \right) = F_{1}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{113}\! \left(x \right) F_{22}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{93}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{118}\! \left(x \right) = 0
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{22}\! \left(x \right)
F_{120}\! \left(x \right) = F_{114}\! \left(x \right)+F_{117}\! \left(x \right)
F_{121}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{110}\! \left(x \right)
F_{123}\! \left(x \right) = F_{103}\! \left(x \right)+F_{57}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{102}\! \left(x \right) F_{128}\! \left(x \right) F_{22}\! \left(x \right)
F_{128}\! \left(x \right) = F_{2}\! \left(x \right)+F_{73}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{22}\! \left(x \right) F_{57}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{135}\! \left(x \right)
F_{132}\! \left(x \right) = F_{107}\! \left(x \right) F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{96}\! \left(x \right)
F_{134}\! \left(x \right) = F_{72}\! \left(x \right) F_{95}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{110}\! \left(x \right) F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{137}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{140}\! \left(x \right)
F_{139}\! \left(x \right) = F_{133}\! \left(x \right) F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{140}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right) F_{75}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{22}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{22}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{32}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{22}\! \left(x \right) F_{46}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{133}\! \left(x \right) F_{152}\! \left(x \right) F_{22}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{62}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{57}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_80(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x) + F_150(x))
Eq(F_11(x), F_12(x)/F_22(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), x**2)
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_22(x))
Eq(F_17(x), F_18(x) + F_67(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_13(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_23(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x)/(F_22(x)*F_36(x)))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_34(x))
Eq(F_28(x), F_29(x)/F_22(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_2(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_22(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x) + F_37(x))
Eq(F_35(x), F_2(x)*F_36(x))
Eq(F_36(x), x*(x - 2)*F_36(x)**2 + (x + 2)*F_36(x) - 1)
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_44(x))
Eq(F_40(x), F_32(x)*F_41(x))
Eq(F_41(x), -F_36(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_22(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_22(x)*F_36(x)*F_42(x)*F_46(x))
Eq(F_46(x), F_47(x)/(F_22(x)*F_36(x)*F_65(x)))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x) - F_66(x))
Eq(F_49(x), F_50(x)/F_22(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) - F_63(x))
Eq(F_52(x), F_53(x) - F_56(x))
Eq(F_53(x), F_54(x)/F_22(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_41(x))
Eq(F_56(x), F_2(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_0(x))
Eq(F_58(x), -F_52(x) + F_59(x))
Eq(F_59(x), F_60(x)/F_22(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_55(x) + F_62(x))
Eq(F_62(x), x*(x - 2)*(F_62(x) + 1)**2 + (x + 1)*(F_62(x) + 1) + F_62(x) - 1)
Eq(F_63(x), F_53(x) - F_64(x))
Eq(F_64(x), F_59(x) - F_65(x))
Eq(F_65(x), F_42(x) + F_9(x))
Eq(F_66(x), F_32(x)*F_63(x))
Eq(F_67(x), F_22(x)*F_68(x))
Eq(F_68(x), F_145(x) + F_69(x))
Eq(F_69(x), F_141(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)*F_72(x))
Eq(F_72(x), F_0(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_75(x))
Eq(F_75(x), F_76(x)/(F_2(x)*F_36(x)))
Eq(F_76(x), -F_138(x) + F_77(x))
Eq(F_77(x), F_78(x)/F_22(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), -F_137(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_22(x)*F_82(x))
Eq(F_82(x), F_129(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_22(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_107(x) + F_86(x))
Eq(F_86(x), F_87(x) + F_98(x))
Eq(F_87(x), F_0(x) + F_88(x))
Eq(F_88(x), -F_89(x) + F_9(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_22(x)*F_57(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_72(x)*F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_22(x)*F_95(x))
Eq(F_95(x), F_1(x) + F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_22(x)*F_25(x)*F_95(x))
Eq(F_98(x), F_124(x) + F_99(x))
Eq(F_99(x), F_100(x) + F_2(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x))
Eq(F_102(x), F_103(x) + F_122(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_22(x))
Eq(F_105(x), F_106(x) + F_108(x))
Eq(F_106(x), F_107(x)*F_57(x))
Eq(F_107(x), F_36(x) + F_99(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_112(x)*F_22(x)*F_36(x))
Eq(F_110(x), F_111(x)/F_22(x))
Eq(F_111(x), F_5(x))
Eq(F_112(x), F_113(x) + F_116(x))
Eq(F_113(x), F_1(x) + F_114(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_113(x)*F_22(x))
Eq(F_116(x), F_117(x) + F_93(x))
Eq(F_117(x), F_118(x) + F_119(x) + F_121(x))
Eq(F_118(x), 0)
Eq(F_119(x), F_120(x)*F_22(x))
Eq(F_120(x), F_114(x) + F_117(x))
Eq(F_121(x), F_116(x)*F_22(x))
Eq(F_122(x), F_110(x) - F_123(x))
Eq(F_123(x), F_103(x) + F_57(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_2(x)**2)
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_102(x)*F_128(x)*F_22(x))
Eq(F_128(x), F_2(x) + F_73(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_22(x)*F_57(x))
Eq(F_131(x), F_132(x) + F_135(x))
Eq(F_132(x), F_107(x)*F_133(x))
Eq(F_133(x), F_134(x) + F_96(x))
Eq(F_134(x), F_72(x)*F_95(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_110(x)*F_22(x)*F_75(x))
Eq(F_137(x), F_2(x)*F_42(x))
Eq(F_138(x), F_139(x) + F_140(x))
Eq(F_139(x), F_133(x)*F_2(x)*F_57(x))
Eq(F_140(x), F_36(x)*F_6(x)*F_75(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_22(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_22(x)*F_75(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_22(x))
Eq(F_147(x), F_148(x) + F_32(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_22(x)*F_46(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_133(x)*F_152(x)*F_22(x))
Eq(F_152(x), F_153(x) + F_62(x))
Eq(F_153(x), -F_36(x) + F_57(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [1, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], 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0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 4], [0, 3]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 2], [3, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[2, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[3, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, "idx": 0}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 3, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 5
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25723/
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[22,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[2,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[22,x]*F[8,x]
F[8,x] = F[80,x]+F[9,x]
F[9,x] = F[10,x]
F[10,x] = F[11,x]+F[150,x]
F[11,x] = 1/F[22,x]*F[12,x]
F[12,x] = F[13,x]
F[13,x] = F[14,x]+F[15,x]
F[14,x] = x^2
F[15,x] = F[16,x]
F[16,x] = F[17,x]*F[22,x]
F[17,x] = F[18,x]+F[67,x]
F[18,x] = F[19,x]+F[20,x]
F[19,x] = F[13,x]
F[20,x] = F[21,x]
F[21,x] = F[22,x]*F[23,x]
F[22,x] = x
F[23,x] = F[24,x]
F[24,x] = F[22,x]*F[25,x]
F[25,x] = 1/F[22,x]/F[36,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = -F[34,x]+F[28,x]
F[28,x] = 1/F[22,x]*F[29,x]
F[29,x] = F[30,x]
F[30,x] = -F[2,x]+F[31,x]
F[31,x] = -F[0,x]+F[32,x]
F[32,x] = 1/F[22,x]*F[33,x]
F[33,x] = F[2,x]
F[34,x] = F[35,x]+F[37,x]
F[35,x] = F[2,x]*F[36,x]
F[36,x] = -1+(x^2-2*x)*F[36,x]^2+(2+x)*F[36,x]
F[37,x] = F[38,x]
F[38,x] = F[22,x]*F[39,x]
F[39,x] = F[40,x]+F[44,x]
F[40,x] = F[32,x]*F[41,x]
F[41,x] = -F[36,x]+F[42,x]
F[42,x] = 1/F[22,x]*F[43,x]
F[43,x] = F[2,x]
F[44,x] = F[45,x]
F[45,x] = F[22,x]*F[36,x]*F[42,x]*F[46,x]
F[46,x] = 1/F[22,x]/F[36,x]/F[65,x]*F[47,x]
F[47,x] = F[48,x]
F[48,x] = -F[66,x]+F[49,x]
F[49,x] = 1/F[22,x]*F[50,x]
F[50,x] = F[51,x]
F[51,x] = -F[63,x]+F[52,x]
F[52,x] = -F[56,x]+F[53,x]
F[53,x] = 1/F[22,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[41,x]
F[56,x] = F[2,x]*F[57,x]
F[57,x] = 1/F[0,x]*F[58,x]
F[58,x] = -F[52,x]+F[59,x]
F[59,x] = 1/F[22,x]*F[60,x]
F[60,x] = F[61,x]
F[61,x] = F[55,x]+F[62,x]
F[62,x] = (x*F[62,x]+x-1)*(x*F[62,x]+x-2*F[62,x])
F[63,x] = -F[64,x]+F[53,x]
F[64,x] = -F[65,x]+F[59,x]
F[65,x] = F[42,x]+F[9,x]
F[66,x] = F[32,x]*F[63,x]
F[67,x] = F[22,x]*F[68,x]
F[68,x] = F[145,x]+F[69,x]
F[69,x] = F[141,x]+F[70,x]
F[70,x] = F[71,x]
F[71,x] = F[22,x]*F[72,x]
F[72,x] = F[0,x]+F[73,x]
F[73,x] = F[74,x]
F[74,x] = F[22,x]*F[75,x]
F[75,x] = 1/F[2,x]/F[36,x]*F[76,x]
F[76,x] = -F[138,x]+F[77,x]
F[77,x] = 1/F[22,x]*F[78,x]
F[78,x] = F[79,x]
F[79,x] = -F[137,x]+F[80,x]
F[80,x] = F[81,x]
F[81,x] = F[22,x]*F[82,x]
F[82,x] = F[129,x]+F[83,x]
F[83,x] = 1/F[22,x]*F[84,x]
F[84,x] = F[85,x]
F[85,x] = -F[107,x]+F[86,x]
F[86,x] = F[87,x]+F[98,x]
F[87,x] = F[0,x]+F[88,x]
F[88,x] = -F[89,x]+F[9,x]
F[89,x] = F[90,x]
F[90,x] = F[22,x]*F[57,x]*F[91,x]
F[91,x] = F[92,x]+F[96,x]
F[92,x] = F[72,x]*F[93,x]
F[93,x] = F[94,x]
F[94,x] = F[22,x]*F[95,x]
F[95,x] = F[1,x]+F[93,x]
F[96,x] = F[97,x]
F[97,x] = F[22,x]*F[25,x]*F[95,x]
F[98,x] = F[124,x]+F[99,x]
F[99,x] = F[100,x]+F[2,x]
F[100,x] = F[101,x]
F[101,x] = F[102,x]*F[22,x]
F[102,x] = F[103,x]+F[122,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[22,x]
F[105,x] = F[106,x]+F[108,x]
F[106,x] = F[107,x]*F[57,x]
F[107,x] = F[36,x]+F[99,x]
F[108,x] = F[109,x]
F[109,x] = F[110,x]*F[112,x]*F[22,x]*F[36,x]
F[110,x] = 1/F[22,x]*F[111,x]
F[111,x] = F[5,x]
F[112,x] = F[113,x]+F[116,x]
F[113,x] = F[1,x]+F[114,x]
F[114,x] = F[115,x]
F[115,x] = F[113,x]*F[22,x]
F[116,x] = F[117,x]+F[93,x]
F[117,x] = F[118,x]+F[119,x]+F[121,x]
F[118,x] = 0
F[119,x] = F[120,x]*F[22,x]
F[120,x] = F[114,x]+F[117,x]
F[121,x] = F[116,x]*F[22,x]
F[122,x] = -F[123,x]+F[110,x]
F[123,x] = F[103,x]+F[57,x]
F[124,x] = F[125,x]+F[126,x]
F[125,x] = F[2,x]^2
F[126,x] = F[127,x]
F[127,x] = F[102,x]*F[128,x]*F[22,x]
F[128,x] = F[2,x]+F[73,x]
F[129,x] = F[130,x]
F[130,x] = F[131,x]*F[22,x]*F[57,x]
F[131,x] = F[132,x]+F[135,x]
F[132,x] = F[107,x]*F[133,x]
F[133,x] = F[134,x]+F[96,x]
F[134,x] = F[72,x]*F[95,x]
F[135,x] = F[136,x]
F[136,x] = F[110,x]*F[22,x]*F[75,x]
F[137,x] = F[2,x]*F[42,x]
F[138,x] = F[139,x]+F[140,x]
F[139,x] = F[133,x]*F[2,x]*F[57,x]
F[140,x] = F[36,x]*F[6,x]*F[75,x]
F[141,x] = F[142,x]
F[142,x] = F[143,x]*F[22,x]
F[143,x] = F[144,x]
F[144,x] = F[22,x]*F[75,x]
F[145,x] = F[146,x]
F[146,x] = F[147,x]*F[22,x]
F[147,x] = F[148,x]+F[32,x]
F[148,x] = F[149,x]
F[149,x] = F[22,x]*F[46,x]
F[150,x] = F[151,x]
F[151,x] = F[133,x]*F[152,x]*F[22,x]
F[152,x] = F[153,x]+F[62,x]
F[153,x] = -F[36,x]+F[57,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_{22}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{2}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{22}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{80}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{150}\! \left(x \right)
F_{11}\! \left(x \right) = \frac{F_{12}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{15}\! \left(x \right)
F_{14}\! \left(x \right) = x^{2}
F_{15}\! \left(x \right) = F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right) F_{22}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{67}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{20}\! \left(x \right)
F_{19}\! \left(x \right) = F_{13}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{22}\! \left(x \right) F_{23}\! \left(x \right)
F_{22}\! \left(x \right) = x
F_{23}\! \left(x \right) = F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = \frac{F_{26}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right)}
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = -F_{34}\! \left(x \right)+F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = \frac{F_{29}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{29}\! \left(x \right) = F_{30}\! \left(x \right)
F_{30}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{32}\! \left(x \right)
F_{32}\! \left(x \right) = \frac{F_{33}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{33}\! \left(x \right) = F_{2}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{37}\! \left(x \right)
F_{35}\! \left(x \right) = F_{2}\! \left(x \right) F_{36}\! \left(x \right)
F_{36}\! \left(x \right) = x^{2} F_{36} \left(x \right)^{2}-2 x F_{36} \left(x \right)^{2}+F_{36}\! \left(x \right) x +2 F_{36}\! \left(x \right)-1
F_{37}\! \left(x \right) = F_{38}\! \left(x \right)
F_{38}\! \left(x \right) = F_{22}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{44}\! \left(x \right)
F_{40}\! \left(x \right) = F_{32}\! \left(x \right) F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = \frac{F_{43}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{43}\! \left(x \right) = F_{2}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)
F_{45}\! \left(x \right) = F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{42}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = \frac{F_{47}\! \left(x \right)}{F_{22}\! \left(x \right) F_{36}\! \left(x \right) F_{65}\! \left(x \right)}
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = -F_{66}\! \left(x \right)+F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{50}\! \left(x \right) = F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{56}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{41}\! \left(x \right)
F_{56}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{57}\! \left(x \right) = \frac{F_{58}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{58}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = F_{55}\! \left(x \right)+F_{62}\! \left(x \right)
F_{62}\! \left(x \right) = x^{2} F_{62} \left(x \right)^{2}+2 x^{2} F_{62}\! \left(x \right)-2 x F_{62} \left(x \right)^{2}+x^{2}-3 x F_{62}\! \left(x \right)-x +2 F_{62}\! \left(x \right)
F_{63}\! \left(x \right) = -F_{64}\! \left(x \right)+F_{53}\! \left(x \right)
F_{64}\! \left(x \right) = -F_{65}\! \left(x \right)+F_{59}\! \left(x \right)
F_{65}\! \left(x \right) = F_{42}\! \left(x \right)+F_{9}\! \left(x \right)
F_{66}\! \left(x \right) = F_{32}\! \left(x \right) F_{63}\! \left(x \right)
F_{67}\! \left(x \right) = F_{22}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = F_{145}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = F_{141}\! \left(x \right)+F_{70}\! \left(x \right)
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = F_{22}\! \left(x \right) F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = F_{0}\! \left(x \right)+F_{73}\! \left(x \right)
F_{73}\! \left(x \right) = F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = \frac{F_{76}\! \left(x \right)}{F_{2}\! \left(x \right) F_{36}\! \left(x \right)}
F_{76}\! \left(x \right) = -F_{138}\! \left(x \right)+F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = \frac{F_{78}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{78}\! \left(x \right) = F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = -F_{137}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = F_{22}\! \left(x \right) F_{82}\! \left(x \right)
F_{82}\! \left(x \right) = F_{129}\! \left(x \right)+F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = \frac{F_{84}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{84}\! \left(x \right) = F_{85}\! \left(x \right)
F_{85}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{98}\! \left(x \right)
F_{87}\! \left(x \right) = F_{0}\! \left(x \right)+F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = -F_{89}\! \left(x \right)+F_{9}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{22}\! \left(x \right) F_{57}\! \left(x \right) F_{91}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{96}\! \left(x \right)
F_{92}\! \left(x \right) = F_{72}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{22}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{1}\! \left(x \right)+F_{93}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{22}\! \left(x \right) F_{25}\! \left(x \right) F_{95}\! \left(x \right)
F_{98}\! \left(x \right) = F_{124}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{100}\! \left(x \right)+F_{2}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{22}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{122}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{22}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{108}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right) F_{57}\! \left(x \right)
F_{107}\! \left(x \right) = F_{36}\! \left(x \right)+F_{99}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right)
F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{112}\! \left(x \right) F_{22}\! \left(x \right) F_{36}\! \left(x \right)
F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{22}\! \left(x \right)}
F_{111}\! \left(x \right) = F_{5}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)+F_{116}\! \left(x \right)
F_{113}\! \left(x \right) = F_{1}\! \left(x \right)+F_{114}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)
F_{115}\! \left(x \right) = F_{113}\! \left(x \right) F_{22}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{93}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{119}\! \left(x \right)+F_{121}\! \left(x \right)
F_{118}\! \left(x \right) = 0
F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{22}\! \left(x \right)
F_{120}\! \left(x \right) = F_{114}\! \left(x \right)+F_{117}\! \left(x \right)
F_{121}\! \left(x \right) = F_{116}\! \left(x \right) F_{22}\! \left(x \right)
F_{122}\! \left(x \right) = -F_{123}\! \left(x \right)+F_{110}\! \left(x \right)
F_{123}\! \left(x \right) = F_{103}\! \left(x \right)+F_{57}\! \left(x \right)
F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)
F_{125}\! \left(x \right) = F_{2} \left(x \right)^{2}
F_{126}\! \left(x \right) = F_{127}\! \left(x \right)
F_{127}\! \left(x \right) = F_{102}\! \left(x \right) F_{128}\! \left(x \right) F_{22}\! \left(x \right)
F_{128}\! \left(x \right) = F_{2}\! \left(x \right)+F_{73}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{22}\! \left(x \right) F_{57}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)+F_{135}\! \left(x \right)
F_{132}\! \left(x \right) = F_{107}\! \left(x \right) F_{133}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{96}\! \left(x \right)
F_{134}\! \left(x \right) = F_{72}\! \left(x \right) F_{95}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{110}\! \left(x \right) F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{137}\! \left(x \right) = F_{2}\! \left(x \right) F_{42}\! \left(x \right)
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)+F_{140}\! \left(x \right)
F_{139}\! \left(x \right) = F_{133}\! \left(x \right) F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{140}\! \left(x \right) = F_{36}\! \left(x \right) F_{6}\! \left(x \right) F_{75}\! \left(x \right)
F_{141}\! \left(x \right) = F_{142}\! \left(x \right)
F_{142}\! \left(x \right) = F_{143}\! \left(x \right) F_{22}\! \left(x \right)
F_{143}\! \left(x \right) = F_{144}\! \left(x \right)
F_{144}\! \left(x \right) = F_{22}\! \left(x \right) F_{75}\! \left(x \right)
F_{145}\! \left(x \right) = F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = F_{147}\! \left(x \right) F_{22}\! \left(x \right)
F_{147}\! \left(x \right) = F_{148}\! \left(x \right)+F_{32}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{22}\! \left(x \right) F_{46}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{133}\! \left(x \right) F_{152}\! \left(x \right) F_{22}\! \left(x \right)
F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{62}\! \left(x \right)
F_{153}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{57}\! \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_22(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_2(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_22(x)*F_8(x))
Eq(F_8(x), F_80(x) + F_9(x))
Eq(F_9(x), F_10(x))
Eq(F_10(x), F_11(x) + F_150(x))
Eq(F_11(x), F_12(x)/F_22(x))
Eq(F_12(x), F_13(x))
Eq(F_13(x), F_14(x) + F_15(x))
Eq(F_14(x), x**2)
Eq(F_15(x), F_16(x))
Eq(F_16(x), F_17(x)*F_22(x))
Eq(F_17(x), F_18(x) + F_67(x))
Eq(F_18(x), F_19(x) + F_20(x))
Eq(F_19(x), F_13(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_22(x)*F_23(x))
Eq(F_22(x), x)
Eq(F_23(x), F_24(x))
Eq(F_24(x), F_22(x)*F_25(x))
Eq(F_25(x), F_26(x)/(F_22(x)*F_36(x)))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x) - F_34(x))
Eq(F_28(x), F_29(x)/F_22(x))
Eq(F_29(x), F_30(x))
Eq(F_30(x), -F_2(x) + F_31(x))
Eq(F_31(x), -F_0(x) + F_32(x))
Eq(F_32(x), F_33(x)/F_22(x))
Eq(F_33(x), F_2(x))
Eq(F_34(x), F_35(x) + F_37(x))
Eq(F_35(x), F_2(x)*F_36(x))
Eq(F_36(x), x*(x - 2)*F_36(x)**2 + (x + 2)*F_36(x) - 1)
Eq(F_37(x), F_38(x))
Eq(F_38(x), F_22(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_44(x))
Eq(F_40(x), F_32(x)*F_41(x))
Eq(F_41(x), -F_36(x) + F_42(x))
Eq(F_42(x), F_43(x)/F_22(x))
Eq(F_43(x), F_2(x))
Eq(F_44(x), F_45(x))
Eq(F_45(x), F_22(x)*F_36(x)*F_42(x)*F_46(x))
Eq(F_46(x), F_47(x)/(F_22(x)*F_36(x)*F_65(x)))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_49(x) - F_66(x))
Eq(F_49(x), F_50(x)/F_22(x))
Eq(F_50(x), F_51(x))
Eq(F_51(x), F_52(x) - F_63(x))
Eq(F_52(x), F_53(x) - F_56(x))
Eq(F_53(x), F_54(x)/F_22(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_41(x))
Eq(F_56(x), F_2(x)*F_57(x))
Eq(F_57(x), F_58(x)/F_0(x))
Eq(F_58(x), -F_52(x) + F_59(x))
Eq(F_59(x), F_60(x)/F_22(x))
Eq(F_60(x), F_61(x))
Eq(F_61(x), F_55(x) + F_62(x))
Eq(F_62(x), x*(x - 2)*(F_62(x) + 1)**2 + (x + 1)*(F_62(x) + 1) + F_62(x) - 1)
Eq(F_63(x), F_53(x) - F_64(x))
Eq(F_64(x), F_59(x) - F_65(x))
Eq(F_65(x), F_42(x) + F_9(x))
Eq(F_66(x), F_32(x)*F_63(x))
Eq(F_67(x), F_22(x)*F_68(x))
Eq(F_68(x), F_145(x) + F_69(x))
Eq(F_69(x), F_141(x) + F_70(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), F_22(x)*F_72(x))
Eq(F_72(x), F_0(x) + F_73(x))
Eq(F_73(x), F_74(x))
Eq(F_74(x), F_22(x)*F_75(x))
Eq(F_75(x), F_76(x)/(F_2(x)*F_36(x)))
Eq(F_76(x), -F_138(x) + F_77(x))
Eq(F_77(x), F_78(x)/F_22(x))
Eq(F_78(x), F_79(x))
Eq(F_79(x), -F_137(x) + F_80(x))
Eq(F_80(x), F_81(x))
Eq(F_81(x), F_22(x)*F_82(x))
Eq(F_82(x), F_129(x) + F_83(x))
Eq(F_83(x), F_84(x)/F_22(x))
Eq(F_84(x), F_85(x))
Eq(F_85(x), -F_107(x) + F_86(x))
Eq(F_86(x), F_87(x) + F_98(x))
Eq(F_87(x), F_0(x) + F_88(x))
Eq(F_88(x), -F_89(x) + F_9(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_22(x)*F_57(x)*F_91(x))
Eq(F_91(x), F_92(x) + F_96(x))
Eq(F_92(x), F_72(x)*F_93(x))
Eq(F_93(x), F_94(x))
Eq(F_94(x), F_22(x)*F_95(x))
Eq(F_95(x), F_1(x) + F_93(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_22(x)*F_25(x)*F_95(x))
Eq(F_98(x), F_124(x) + F_99(x))
Eq(F_99(x), F_100(x) + F_2(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_102(x)*F_22(x))
Eq(F_102(x), F_103(x) + F_122(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_22(x))
Eq(F_105(x), F_106(x) + F_108(x))
Eq(F_106(x), F_107(x)*F_57(x))
Eq(F_107(x), F_36(x) + F_99(x))
Eq(F_108(x), F_109(x))
Eq(F_109(x), F_110(x)*F_112(x)*F_22(x)*F_36(x))
Eq(F_110(x), F_111(x)/F_22(x))
Eq(F_111(x), F_5(x))
Eq(F_112(x), F_113(x) + F_116(x))
Eq(F_113(x), F_1(x) + F_114(x))
Eq(F_114(x), F_115(x))
Eq(F_115(x), F_113(x)*F_22(x))
Eq(F_116(x), F_117(x) + F_93(x))
Eq(F_117(x), F_118(x) + F_119(x) + F_121(x))
Eq(F_118(x), 0)
Eq(F_119(x), F_120(x)*F_22(x))
Eq(F_120(x), F_114(x) + F_117(x))
Eq(F_121(x), F_116(x)*F_22(x))
Eq(F_122(x), F_110(x) - F_123(x))
Eq(F_123(x), F_103(x) + F_57(x))
Eq(F_124(x), F_125(x) + F_126(x))
Eq(F_125(x), F_2(x)**2)
Eq(F_126(x), F_127(x))
Eq(F_127(x), F_102(x)*F_128(x)*F_22(x))
Eq(F_128(x), F_2(x) + F_73(x))
Eq(F_129(x), F_130(x))
Eq(F_130(x), F_131(x)*F_22(x)*F_57(x))
Eq(F_131(x), F_132(x) + F_135(x))
Eq(F_132(x), F_107(x)*F_133(x))
Eq(F_133(x), F_134(x) + F_96(x))
Eq(F_134(x), F_72(x)*F_95(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_110(x)*F_22(x)*F_75(x))
Eq(F_137(x), F_2(x)*F_42(x))
Eq(F_138(x), F_139(x) + F_140(x))
Eq(F_139(x), F_133(x)*F_2(x)*F_57(x))
Eq(F_140(x), F_36(x)*F_6(x)*F_75(x))
Eq(F_141(x), F_142(x))
Eq(F_142(x), F_143(x)*F_22(x))
Eq(F_143(x), F_144(x))
Eq(F_144(x), F_22(x)*F_75(x))
Eq(F_145(x), F_146(x))
Eq(F_146(x), F_147(x)*F_22(x))
Eq(F_147(x), F_148(x) + F_32(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_22(x)*F_46(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_133(x)*F_152(x)*F_22(x))
Eq(F_152(x), F_153(x) + F_62(x))
Eq(F_153(x), -F_36(x) + F_57(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 1, 2, 4, 3], [0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [1, 0, 2, 4, 3], [1, 0, 3, 4, 2], [1, 0, 4, 3, 2], [2, 0, 3, 4, 1], [2, 0, 4, 3, 1], [3, 0, 4, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 3, 4, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 4, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 0, 4, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "ReverseRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [0, 1, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2, 3], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [1, 0, 3, 2], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [0, 0], [2, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 0], [0, 0], [2, 0], [2, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2, 4, 3], "pos": [[0, 0], [2, 0], [2, 0], [2, 0], 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