02341_03241_03412_03421_30241_30412_30421_34012_34021
Counting sequence:
1, 1, 2, 6, 24, 111, 547, 2782, 14445, 76241, 407978, 2208844, 12078881, 66620529, 370177307, 2070258428, 11644402675, 65827735123, 373822325623, 2131509344266, 12198450621414, 70043963266197, 403420421825882, 2329993938131292, 13491603339955684, 78306483670949419, 455491727539678511, 2654870929135089630, 15503336061198342459, 90692341585439506839, 531410377472030098138, 3118590647714625231012, 18327985445384364523196, 107860354205971533789217, 635573321764292041821853, 3749686835372110167174580, 22147322103407258765945937, 130953760222921978831393865, 775105712216994977759742272, 4592272354043997320548935994, 27233110654302483336486703987, 161640600786619632824107797705, 960216771355021700076075012369, 5708697256974761455591484610328, 33965500741252272431482129474610, 202235657325398936366729252986027, 1204987363077052167989411077847560, 7184549090915885098109721861500066, 42864405223017127461940656148384066, 255895748956283041417680231340227407, 1528578387214123791367217025219990040, 9136097761180541866492256975319030810, 54635222501246508360383869137816741001, 326899871498059815277642488139116346971, 1956944138333437442545501785679119615909, 11720760587566999252075914869995137593390, 70232691472916716021485703058374140407606, 421038523993995872177812533030746873558567, 2525204666809995869548759290259926476072816, 15151551943273862199431372936833393867676312, 90948872826677778268466102188368793443321778, 546149280673398292302185648624346826686396293, 3280905407705534883061677354070940095051487249, 19716919696132435854615155243003134307346646612, 118533853195634967557904930278262723047487672047, 712851232633182617482154962024335488997759491103, 4288485867831218664991278906030625165290541066532, 25807934548711393321392119432984535932379114806442, 155361177441383508327070335654014082164280778586521, 935551572004971934793485228008657291183510341678371, 5635404432477742811911760881912190451673985085793533, 33955559274517293329508231276744539815100265749315334, 204654640293987307349729904184157959108590830597617596, 1233825735021249436797524214317098151817791481477748619, 7440537669628864421668982652822076649926567730122758998, 44881768136989820458639850225794937928013028429896931976, 270799424217737921619813022079131435364301013224980198474, 1634311249150826741304390640505614933283792346939385660993, 9865708559418059897979480906934719563013551294419237670423, 59569725753142394898156141010562210968626335920529368613312, 359769343781188097387251846075780366033392388470151796860097, 2173308927623658075071464122508544262153335549120492828783005, 13131524331075517681688344006406029472895972148668576728318815, 79360224490691820525117529403979605724136424906121912585948480, 479714093782198334143033838341957348799803083065266556401587733, 2900359089785379261782332406929790380639274915021320950173533189, 17539156231879979106833843115868404041212615272925397317267654306, 106084334847439206630933861717785932812155372765970298324378278050, 641767209130856220768149995185503770012231448762574934078576634791, 3883163055511359190275757692939331341598245600318703232456492020649, 23500319408096204246067644643992974163332965634162277407826327383905, 142246042263672425903152962101139011430013337009014871537457762909240, 861158749333880075862669594229443803031146213589550324000064985060698, 5214362382381873603271393146511053652577178864860860419970649693265571, 31578579032923548198015588235351804265265245708429162691881819855472084, 191273941074787898675678149336056234056359498182977218141379463058383826, 1158749051710716034336778205527768423350154863929017648773593745564304981, 7020885653281137669722724827579116409932327515366137200906538155636031259, 42546313353705335030155403083651739902730340200372075711884721236706001375, 257868408977800915388122992000773151498841430278936889427137392131868195730, 1563144780949487290079570169710729091510517681950746940708012027551009541406
Specification 1
Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries
Tree: http://www.permpal.com/tree/24682/
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[10,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[222,x]+F[6,x]+F[7,x]
F[6,x] = 0
F[7,x] = F[10,x]*F[8,x]
F[8,x] = F[1,x]+F[218,x]+F[219,x]+F[9,x]
F[9,x] = F[10,x]*F[11,x]
F[10,x] = x
F[11,x] = F[12,x,1]
F[12,x,k[0]] = F[13,x,k[0]]+F[217,x,k[0]]
F[13,x,k[0]] = F[14,x]+F[37,x,k[0]]
F[14,x] = F[1,x]+F[15,x]+F[216,x]
F[15,x] = F[10,x]*F[16,x]
F[16,x] = F[17,x]+F[4,x]
F[17,x] = F[18,x]+F[20,x]+F[22,x]+F[6,x]
F[18,x] = F[19,x]
F[19,x] = F[10,x]*F[17,x]
F[20,x] = F[21,x]
F[21,x] = F[10,x]*F[17,x]
F[22,x] = F[10,x]*F[23,x]
F[23,x] = F[207,x]+F[24,x]
F[24,x] = F[1,x]+F[204,x]+F[205,x]+F[25,x]
F[25,x] = F[10,x]*F[26,x]
F[26,x] = F[16,x]+F[27,x]
F[27,x] = F[28,x]
F[28,x] = F[29,x,1]
F[29,x,k[0]] = F[30,x,k[0]]
F[30,x,k[0]] = F[10,x]*F[31,x,k[0]]
F[31,x,k[0]] = F[202,x,k[0]]+F[32,x,k[0]]
F[33,x,k[0]] = F[10,x]*F[32,x,k[0]]
F[33,x,k[0]] = F[34,x,k[0]]
F[35,x,k[0]] = F[13,x,k[0]]+F[144,x,k[0]]+F[34,x,k[0]]
F[36,x,k[0]] = F[35,x,k[0]]*F[56,x,k[0]]
F[36,x,k[0]] = F[37,x,k[0]]
F[37,x,k[0]] = F[200,x,k[0]]+F[201,x,k[0]]+F[38,x,k[0]]+F[6,x]
F[38,x,k[0]] = F[10,x]*F[39,x,k[0]]
F[39,x,k[0]] = F[113,x,k[0]]+F[40,x,k[0]]+F[42,x,k[0]]+F[43,x,k[0]]+F[6,x]
F[40,x,k[0]] = F[41,x,k[0]]
F[41,x,k[0]] = F[10,x]*F[39,x,k[0]]
F[42,x,k[0]] = F[38,x,k[0]]
F[43,x,k[0]] = F[10,x]*F[44,x,k[0]]
F[45,x,k[0]] = F[23,x]+F[44,x,k[0]]
F[45,x,k[0]] = F[1,x]+F[133,x,k[0]]+F[190,x,k[0]]+F[192,x,k[0]]+F[197,x,k[0]]+F[46,x,k[0]]
F[46,x,k[0]] = F[10,x]*F[47,x,k[0]]
F[47,x,k[0]] = 1/(-1+k[0])*(F[48,x,k[0]]*k[0]-F[48,x,1])
F[49,x,k[0]] = F[10,x]*F[48,x,k[0]]
F[50,x,k[0]] = F[1,x]+F[180,x,k[0]]+F[188,x,k[0]]+F[189,x,k[0]]+F[49,x,k[0]]
F[50,x,k[0]] = F[179,x,k[0]]+F[51,x,k[0]]
F[51,x,k[0]] = F[52,x,k[0]]+F[64,x,k[0]]
F[52,x,k[0]] = F[53,x,k[0]]+F[57,x,k[0]]
F[53,x,k[0]] = F[1,x]+F[54,x,k[0]]
F[54,x,k[0]] = F[55,x,k[0]]
F[55,x,k[0]] = F[53,x,k[0]]*F[56,x,k[0]]
F[56,x,k[0]] = k[0]*x
F[57,x,k[0]] = F[58,x,k[0]]
F[58,x,k[0]] = F[10,x]*F[53,x,k[0]]*F[59,x,k[0]]
F[59,x,k[0]] = F[1,x]+F[60,x,k[0]]+F[61,x,k[0]]+F[63,x,k[0]]
F[60,x,k[0]] = F[10,x]*F[12,x,k[0]]
F[61,x,k[0]] = F[10,x]*F[62,x,k[0]]
F[62,x,k[0]] = F[16,x]+F[39,x,k[0]]
F[63,x,k[0]] = F[56,x,k[0]]*F[59,x,k[0]]
F[64,x,k[0]] = F[65,x,k[0]]
F[65,x,k[0]] = F[10,x]*F[66,x,k[0]]
F[66,x,k[0]] = F[172,x,k[0]]+F[67,x,k[0]]
F[68,x,k[0]] = F[165,x,k[0]]+F[67,x,k[0]]
F[69,x,k[0]] = F[10,x]*F[68,x,k[0]]
F[69,x,k[0]] = F[70,x,k[0]]
F[70,x,k[0]] = F[10,x]*F[71,x,k[0]]
F[71,x,k[0]] = F[164,x,k[0]]+F[72,x]+F[79,x,k[0]]+F[88,x,k[0]]+F[92,x,k[0]]
F[72,x] = F[73,x]+F[76,x]
F[73,x] = F[1,x]+F[74,x]
F[74,x] = F[75,x]
F[75,x] = F[10,x]*F[72,x]
F[76,x] = F[77,x]
F[77,x] = F[10,x]*F[78,x]
F[78,x] = F[1,x]+F[76,x]
F[79,x,k[0]] = F[10,x]*F[80,x,k[0]]
F[80,x,k[0]] = F[81,x,k[0]]+F[82,x,k[0]]
F[81,x,k[0]] = F[12,x,k[0]]*F[72,x]
F[82,x,k[0]] = F[78,x]*F[83,x,k[0]]
F[83,x,k[0]] = F[84,x,k[0]]
F[84,x,k[0]] = F[10,x]*F[85,x,k[0]]
F[86,x,k[0]] = F[56,x,k[0]]*F[85,x,k[0]]
F[86,x,k[0]] = F[87,x,k[0]]
F[12,x,k[0]] = F[24,x]+F[87,x,k[0]]
F[88,x,k[0]] = F[10,x]*F[89,x,k[0]]
F[89,x,k[0]] = F[90,x,k[0]]+F[91,x,k[0]]
F[90,x,k[0]] = F[62,x,k[0]]*F[72,x]
F[91,x,k[0]] = F[29,x,k[0]]*F[78,x]
F[92,x,k[0]] = F[10,x]*F[93,x,k[0]]
F[93,x,k[0]] = F[115,x,k[0]]+F[94,x,k[0]]
F[94,x,k[0]] = F[72,x]*F[95,x,k[0]]
F[95,x,k[0]] = F[114,x,k[0]]+F[96,x,k[0]]
F[97,x,k[0]] = F[100,x,k[0]]+F[96,x,k[0]]
F[48,x,k[0]] = F[97,x,k[0]]+F[98,x,k[0]]
F[98,x,k[0]] = F[99,x]
F[99,x] = F[5,x]*F[78,x]
F[100,x,k[0]] = F[101,x,k[0]]+F[103,x,k[0]]+F[109,x,k[0]]+F[110,x,k[0]]+F[6,x]
F[101,x,k[0]] = F[102,x,k[0]]
F[102,x,k[0]] = F[10,x]*F[100,x,k[0]]
F[103,x,k[0]] = F[10,x]*F[104,x,k[0]]
F[104,x,k[0]] = F[105,x,k[0]]+F[107,x,k[0]]+F[108,x,k[0]]+F[109,x,k[0]]+F[6,x]
F[105,x,k[0]] = F[106,x,k[0]]
F[106,x,k[0]] = F[10,x]*F[104,x,k[0]]
F[107,x,k[0]] = F[103,x,k[0]]
F[108,x,k[0]] = F[10,x]*F[45,x,k[0]]
F[109,x,k[0]] = F[100,x,k[0]]*F[56,x,k[0]]
F[97,x,k[0]] = F[1,x]+F[110,x,k[0]]+F[111,x,k[0]]+F[112,x,k[0]]+F[113,x,k[0]]
F[111,x,k[0]] = F[10,x]*F[48,x,k[0]]
F[112,x,k[0]] = F[10,x]*F[62,x,k[0]]
F[113,x,k[0]] = F[56,x,k[0]]*F[97,x,k[0]]
F[114,x,k[0]] = F[99,x]
F[115,x,k[0]] = F[116,x,k[0]]
F[117,x,k[0]] = F[116,x,k[0]]+F[163,x,k[0]]
F[117,x,k[0]] = F[118,x,k[0]]+F[162,x,k[0]]
F[119,x,k[0]] = F[118,x,k[0]]+F[162,x,k[0]]
F[120,x,k[0]] = F[10,x]*F[119,x,k[0]]
F[121,x,k[0]] = F[120,x,k[0]]+F[160,x,k[0]]+F[161,x,k[0]]+F[6,x]
F[122,x,k[0]] = F[121,x,k[0]]+F[158,x,k[0]]
F[122,x,k[0]] = F[123,x,k[0]]+F[156,x,k[0]]
F[123,x,k[0]] = F[124,x,k[0]]+F[51,x,k[0]]
F[124,x,k[0]] = F[10,x]*F[125,x,k[0]]*F[78,x]
F[125,x,k[0]] = F[126,x,k[0]]+F[52,x,k[0]]
F[126,x,k[0]] = 2*F[6,x]+F[127,x,k[0]]+F[155,x,k[0]]
F[127,x,k[0]] = F[10,x]*F[128,x,k[0]]
F[128,x,k[0]] = F[1,x]+F[129,x,k[0]]+F[154,x,k[0]]+F[60,x,k[0]]+F[61,x,k[0]]
F[129,x,k[0]] = F[10,x]*F[130,x,k[0]]
F[131,x,k[0]] = F[10,x]*F[130,x,k[0]]
F[132,x,k[0]] = F[1,x]+F[131,x,k[0]]+F[133,x,k[0]]+F[134,x,k[0]]+F[136,x,k[0]]+F[148,x,k[0]]
F[110,x,k[0]] = F[10,x]*F[132,x,k[0]]
F[12,x,k[0]] = F[1,x]+F[133,x,k[0]]+F[134,x,k[0]]+F[136,x,k[0]]+F[147,x,k[0]]
F[134,x,k[0]] = F[10,x]*F[135,x,k[0]]
F[135,x,k[0]] = 1/(-1+k[0])*(F[12,x,k[0]]*k[0]-F[12,x,1])
F[136,x,k[0]] = F[10,x]*F[137,x,k[0]]
F[137,x,k[0]] = 1/(-1+k[0])*(F[138,x,k[0]]*k[0]-F[138,x,1])
F[138,x,k[0]] = F[13,x,k[0]]+F[139,x,k[0]]
F[139,x,k[0]] = F[140,x,k[0]]
F[140,x,k[0]] = F[10,x]*F[141,x,k[0]]
F[141,x,k[0]] = F[13,x,k[0]]+F[142,x,k[0]]+F[144,x,k[0]]+F[146,x,k[0]]
F[142,x,k[0]] = F[143,x,k[0]]
F[143,x,k[0]] = F[10,x]*F[31,x,k[0]]
F[144,x,k[0]] = F[145,x,k[0]]
F[145,x,k[0]] = F[10,x]*F[85,x,k[0]]
F[146,x,k[0]] = F[141,x,k[0]]*F[56,x,k[0]]
F[147,x,k[0]] = F[138,x,k[0]]*F[56,x,k[0]]
F[148,x,k[0]] = F[149,x,k[0]]*F[56,x,k[0]]
F[149,x,k[0]] = F[150,x,k[0]]+F[153,x,k[0]]
F[150,x,k[0]] = F[13,x,k[0]]+F[151,x,k[0]]
F[151,x,k[0]] = 3*F[6,x]+F[131,x,k[0]]+F[152,x,k[0]]
F[152,x,k[0]] = F[151,x,k[0]]*F[56,x,k[0]]
F[153,x,k[0]] = F[139,x,k[0]]
F[154,x,k[0]] = F[128,x,k[0]]*F[56,x,k[0]]
F[155,x,k[0]] = F[126,x,k[0]]*F[56,x,k[0]]
F[156,x,k[0]] = F[10,x]*F[157,x,k[0]]
F[157,x,k[0]] = F[124,x,k[0]]+F[156,x,k[0]]+F[51,x,k[0]]
F[158,x,k[0]] = F[159,x]*F[52,x,k[0]]
F[159,x] = F[74,x]+F[78,x]
F[160,x,k[0]] = F[10,x]*F[139,x,k[0]]*F[78,x]
F[161,x,k[0]] = F[121,x,k[0]]*F[56,x,k[0]]
F[162,x,k[0]] = F[150,x,k[0]]*F[76,x]
F[163,x,k[0]] = F[72,x]*F[96,x,k[0]]
F[164,x,k[0]] = F[56,x,k[0]]*F[71,x,k[0]]
F[165,x,k[0]] = F[166,x,k[0]]+F[167,x,k[0]]
F[166,x,k[0]] = F[50,x,k[0]]*F[76,x]
F[167,x,k[0]] = F[128,x,k[0]]*F[168,x]
F[168,x] = F[169,x]+F[170,x]+F[6,x]
F[169,x] = F[10,x]*F[76,x]
F[170,x] = F[10,x]*F[171,x]
F[171,x] = F[10,x]+F[168,x]
F[172,x,k[0]] = F[173,x,k[0]]+F[174,x,k[0]]
F[173,x,k[0]] = F[50,x,k[0]]*F[54,x,k[0]]
F[174,x,k[0]] = F[128,x,k[0]]*F[175,x,k[0]]
F[175,x,k[0]] = F[176,x,k[0]]+F[177,x,k[0]]+F[6,x]
F[176,x,k[0]] = F[10,x]*F[54,x,k[0]]
F[177,x,k[0]] = F[178,x,k[0]]*F[56,x,k[0]]
F[178,x,k[0]] = F[10,x]+F[175,x,k[0]]
F[179,x,k[0]] = F[180,x,k[0]]+F[182,x,k[0]]+F[185,x,k[0]]+F[187,x,k[0]]+F[6,x]
F[180,x,k[0]] = F[10,x]*F[181,x,k[0]]
F[181,x,k[0]] = F[12,x,k[0]]+F[83,x,k[0]]
F[182,x,k[0]] = F[10,x]*F[183,x,k[0]]
F[184,x,k[0]] = F[138,x,k[0]]+F[183,x,k[0]]
F[184,x,k[0]] = F[29,x,k[0]]+F[62,x,k[0]]
F[185,x,k[0]] = F[186,x]
F[186,x] = F[10,x]*F[5,x]*F[78,x]
F[187,x,k[0]] = F[179,x,k[0]]*F[56,x,k[0]]
F[188,x,k[0]] = F[10,x]*F[184,x,k[0]]
F[189,x,k[0]] = F[50,x,k[0]]*F[56,x,k[0]]
F[190,x,k[0]] = F[10,x]*F[191,x,k[0]]
F[191,x,k[0]] = 1/(-1+k[0])*(F[132,x,k[0]]*k[0]-F[132,x,1])
F[192,x,k[0]] = F[10,x]*F[193,x,k[0]]
F[193,x,k[0]] = F[194,x,k[0]]+F[195,x,k[0]]
F[194,x,k[0]] = 1/(-1+k[0])*(F[97,x,k[0]]*k[0]-F[97,x,1])
F[195,x,k[0]] = F[196,x,k[0]]
F[196,x,k[0]] = 1/(-1+k[0])*(F[139,x,k[0]]*k[0]-F[139,x,1])
F[197,x,k[0]] = F[198,x,k[0]]*F[56,x,k[0]]
F[198,x,k[0]] = F[199,x,k[0]]+F[97,x,k[0]]
F[199,x,k[0]] = F[139,x,k[0]]
F[200,x,k[0]] = F[10,x]*F[87,x,k[0]]
F[201,x,k[0]] = F[13,x,k[0]]*F[56,x,k[0]]
F[202,x,k[0]] = F[203,x,k[0]]
F[141,x,k[0]] = F[203,x,k[0]]+F[35,x,k[0]]
F[204,x] = F[10,x]*F[11,x]
F[205,x] = F[10,x]*F[206,x]
F[206,x] = F[138,x,1]
F[207,x] = 2*F[6,x]+F[208,x]+F[210,x]+F[213,x]
F[208,x] = F[10,x]*F[209,x]
F[209,x] = F[48,x,1]
F[210,x] = F[211,x]
F[211,x] = F[10,x]*F[212,x]
F[212,x] = F[151,x,1]
F[213,x] = F[214,x]
F[214,x] = F[10,x]*F[215,x]
F[215,x] = F[207,x]
F[216,x] = F[10,x]*F[24,x]
F[217,x,k[0]] = F[196,x,k[0]]
F[218,x] = F[10,x]*F[26,x]
F[219,x] = F[10,x]*F[220,x]
F[220,x] = F[221,x]+F[8,x]
F[221,x] = F[17,x]
F[222,x] = F[10,x]*F[223,x]
F[223,x] = F[224,x]+F[225,x]+F[226,x]+F[6,x]
F[224,x] = F[10,x]*F[206,x]
F[225,x] = F[10,x]*F[207,x]
F[226,x] = F[227,x]
F[227,x] = F[10,x]*F[223,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_{10}\! \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_{222}\! \left(x \right)+F_{6}\! \left(x \right)+F_{7}\! \left(x \right)
F_{6}\! \left(x \right) = 0
F_{7}\! \left(x \right) = F_{10}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{1}\! \left(x \right)+F_{218}\! \left(x \right)+F_{219}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{10}\! \left(x \right) = x
F_{11}\! \left(x \right) = F_{12}\! \left(x , 1\right)
F_{12}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{217}\! \left(x , y\right)
F_{13}\! \left(x , y\right) = F_{14}\! \left(x \right)+F_{37}\! \left(x , y\right)
F_{14}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)+F_{216}\! \left(x \right)
F_{15}\! \left(x \right) = F_{10}\! \left(x \right) F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{4}\! \left(x \right)
F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{20}\! \left(x \right)+F_{22}\! \left(x \right)+F_{6}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right)
F_{20}\! \left(x \right) = F_{21}\! \left(x \right)
F_{21}\! \left(x \right) = F_{10}\! \left(x \right) F_{17}\! \left(x \right)
F_{22}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right)
F_{23}\! \left(x \right) = F_{207}\! \left(x \right)+F_{24}\! \left(x \right)
F_{24}\! \left(x \right) = F_{1}\! \left(x \right)+F_{204}\! \left(x \right)+F_{205}\! \left(x \right)+F_{25}\! \left(x \right)
F_{25}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{16}\! \left(x \right)+F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x , 1\right)
F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)
F_{30}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{31}\! \left(x , y\right) = F_{202}\! \left(x , y\right)+F_{32}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{32}\! \left(x , y\right)
F_{33}\! \left(x , y\right) = F_{34}\! \left(x , y\right)
F_{35}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{144}\! \left(x , y\right)+F_{34}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{35}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right)
F_{37}\! \left(x , y\right) = F_{200}\! \left(x , y\right)+F_{201}\! \left(x , y\right)+F_{38}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{38}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{39}\! \left(x , y\right) = F_{113}\! \left(x , y\right)+F_{40}\! \left(x , y\right)+F_{42}\! \left(x , y\right)+F_{43}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{40}\! \left(x , y\right) = F_{41}\! \left(x , y\right)
F_{41}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{39}\! \left(x , y\right)
F_{42}\! \left(x , y\right) = F_{38}\! \left(x , y\right)
F_{43}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{44}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{44}\! \left(x , y\right)
F_{45}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{133}\! \left(x , y\right)+F_{190}\! \left(x , y\right)+F_{192}\! \left(x , y\right)+F_{197}\! \left(x , y\right)+F_{46}\! \left(x , y\right)
F_{46}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{47}\! \left(x , y\right)
F_{47}\! \left(x , y\right) = -\frac{-F_{48}\! \left(x , y\right) y +F_{48}\! \left(x , 1\right)}{-1+y}
F_{49}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{180}\! \left(x , y\right)+F_{188}\! \left(x , y\right)+F_{189}\! \left(x , y\right)+F_{49}\! \left(x , y\right)
F_{50}\! \left(x , y\right) = F_{179}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{51}\! \left(x , y\right) = F_{52}\! \left(x , y\right)+F_{64}\! \left(x , y\right)
F_{52}\! \left(x , y\right) = F_{53}\! \left(x , y\right)+F_{57}\! \left(x , y\right)
F_{53}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{54}\! \left(x , y\right)
F_{54}\! \left(x , y\right) = F_{55}\! \left(x , y\right)
F_{55}\! \left(x , y\right) = F_{53}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{56}\! \left(x , y\right) = y x
F_{57}\! \left(x , y\right) = F_{58}\! \left(x , y\right)
F_{58}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{53}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{59}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{60}\! \left(x , y\right)+F_{61}\! \left(x , y\right)+F_{63}\! \left(x , y\right)
F_{60}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{12}\! \left(x , y\right)
F_{61}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{62}\! \left(x , y\right) = F_{16}\! \left(x \right)+F_{39}\! \left(x , y\right)
F_{63}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{59}\! \left(x , y\right)
F_{64}\! \left(x , y\right) = F_{65}\! \left(x , y\right)
F_{65}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{66}\! \left(x , y\right)
F_{66}\! \left(x , y\right) = F_{172}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{68}\! \left(x , y\right) = F_{165}\! \left(x , y\right)+F_{67}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{68}\! \left(x , y\right)
F_{69}\! \left(x , y\right) = F_{70}\! \left(x , y\right)
F_{70}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{71}\! \left(x , y\right)
F_{71}\! \left(x , y\right) = F_{164}\! \left(x , y\right)+F_{72}\! \left(x \right)+F_{79}\! \left(x , y\right)+F_{88}\! \left(x , y\right)+F_{92}\! \left(x , y\right)
F_{72}\! \left(x \right) = F_{73}\! \left(x \right)+F_{76}\! \left(x \right)
F_{73}\! \left(x \right) = F_{1}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{10}\! \left(x \right) F_{72}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{10}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{1}\! \left(x \right)+F_{76}\! \left(x \right)
F_{79}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{80}\! \left(x , y\right)
F_{80}\! \left(x , y\right) = F_{81}\! \left(x , y\right)+F_{82}\! \left(x , y\right)
F_{81}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{72}\! \left(x \right)
F_{82}\! \left(x , y\right) = F_{78}\! \left(x \right) F_{83}\! \left(x , y\right)
F_{83}\! \left(x , y\right) = F_{84}\! \left(x , y\right)
F_{84}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{85}\! \left(x , y\right)
F_{86}\! \left(x , y\right) = F_{87}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{24}\! \left(x \right)+F_{87}\! \left(x , y\right)
F_{88}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{89}\! \left(x , y\right)
F_{89}\! \left(x , y\right) = F_{90}\! \left(x , y\right)+F_{91}\! \left(x , y\right)
F_{90}\! \left(x , y\right) = F_{62}\! \left(x , y\right) F_{72}\! \left(x \right)
F_{91}\! \left(x , y\right) = F_{29}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{92}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{93}\! \left(x , y\right)
F_{93}\! \left(x , y\right) = F_{115}\! \left(x , y\right)+F_{94}\! \left(x , y\right)
F_{94}\! \left(x , y\right) = F_{72}\! \left(x \right) F_{95}\! \left(x , y\right)
F_{95}\! \left(x , y\right) = F_{114}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{100}\! \left(x , y\right)+F_{96}\! \left(x , y\right)
F_{48}\! \left(x , y\right) = F_{97}\! \left(x , y\right)+F_{98}\! \left(x , y\right)
F_{98}\! \left(x , y\right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{5}\! \left(x \right) F_{78}\! \left(x \right)
F_{100}\! \left(x , y\right) = F_{101}\! \left(x , y\right)+F_{103}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{110}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{101}\! \left(x , y\right) = F_{102}\! \left(x , y\right)
F_{102}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{100}\! \left(x , y\right)
F_{103}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{104}\! \left(x , y\right)
F_{104}\! \left(x , y\right) = F_{105}\! \left(x , y\right)+F_{107}\! \left(x , y\right)+F_{108}\! \left(x , y\right)+F_{109}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{105}\! \left(x , y\right) = F_{106}\! \left(x , y\right)
F_{106}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{104}\! \left(x , y\right)
F_{107}\! \left(x , y\right) = F_{103}\! \left(x , y\right)
F_{108}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{45}\! \left(x , y\right)
F_{109}\! \left(x , y\right) = F_{100}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{97}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{110}\! \left(x , y\right)+F_{111}\! \left(x , y\right)+F_{112}\! \left(x , y\right)+F_{113}\! \left(x , y\right)
F_{111}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{48}\! \left(x , y\right)
F_{112}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{62}\! \left(x , y\right)
F_{113}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{97}\! \left(x , y\right)
F_{114}\! \left(x , y\right) = F_{99}\! \left(x \right)
F_{115}\! \left(x , y\right) = F_{116}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{116}\! \left(x , y\right)+F_{163}\! \left(x , y\right)
F_{117}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{162}\! \left(x , y\right)
F_{119}\! \left(x , y\right) = F_{118}\! \left(x , y\right)+F_{162}\! \left(x , y\right)
F_{120}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{119}\! \left(x , y\right)
F_{121}\! \left(x , y\right) = F_{120}\! \left(x , y\right)+F_{160}\! \left(x , y\right)+F_{161}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{122}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{158}\! \left(x , y\right)
F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)+F_{156}\! \left(x , y\right)
F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{124}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{125}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{52}\! \left(x , y\right)
F_{126}\! \left(x , y\right) = 2 F_{6}\! \left(x \right)+F_{127}\! \left(x , y\right)+F_{155}\! \left(x , y\right)
F_{127}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{128}\! \left(x , y\right)
F_{128}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{129}\! \left(x , y\right)+F_{154}\! \left(x , y\right)+F_{60}\! \left(x , y\right)+F_{61}\! \left(x , y\right)
F_{129}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{130}\! \left(x , y\right)
F_{131}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{130}\! \left(x , y\right)
F_{132}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{131}\! \left(x , y\right)+F_{133}\! \left(x , y\right)+F_{134}\! \left(x , y\right)+F_{136}\! \left(x , y\right)+F_{148}\! \left(x , y\right)
F_{110}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{132}\! \left(x , y\right)
F_{12}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{133}\! \left(x , y\right)+F_{134}\! \left(x , y\right)+F_{136}\! \left(x , y\right)+F_{147}\! \left(x , y\right)
F_{134}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{135}\! \left(x , y\right)
F_{135}\! \left(x , y\right) = -\frac{-y F_{12}\! \left(x , y\right)+F_{12}\! \left(x , 1\right)}{-1+y}
F_{136}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{137}\! \left(x , y\right)
F_{137}\! \left(x , y\right) = -\frac{-F_{138}\! \left(x , y\right) y +F_{138}\! \left(x , 1\right)}{-1+y}
F_{138}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{139}\! \left(x , y\right)
F_{139}\! \left(x , y\right) = F_{140}\! \left(x , y\right)
F_{140}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{141}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{142}\! \left(x , y\right)+F_{144}\! \left(x , y\right)+F_{146}\! \left(x , y\right)
F_{142}\! \left(x , y\right) = F_{143}\! \left(x , y\right)
F_{143}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{31}\! \left(x , y\right)
F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)
F_{145}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{85}\! \left(x , y\right)
F_{146}\! \left(x , y\right) = F_{141}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{147}\! \left(x , y\right) = F_{138}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right)+F_{153}\! \left(x , y\right)
F_{150}\! \left(x , y\right) = F_{13}\! \left(x , y\right)+F_{151}\! \left(x , y\right)
F_{151}\! \left(x , y\right) = 3 F_{6}\! \left(x \right)+F_{131}\! \left(x , y\right)+F_{152}\! \left(x , y\right)
F_{152}\! \left(x , y\right) = F_{151}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{153}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{154}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{155}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{156}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{157}\! \left(x , y\right)
F_{157}\! \left(x , y\right) = F_{124}\! \left(x , y\right)+F_{156}\! \left(x , y\right)+F_{51}\! \left(x , y\right)
F_{158}\! \left(x , y\right) = F_{159}\! \left(x \right) F_{52}\! \left(x , y\right)
F_{159}\! \left(x \right) = F_{74}\! \left(x \right)+F_{78}\! \left(x \right)
F_{160}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{139}\! \left(x , y\right) F_{78}\! \left(x \right)
F_{161}\! \left(x , y\right) = F_{121}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{162}\! \left(x , y\right) = F_{150}\! \left(x , y\right) F_{76}\! \left(x \right)
F_{163}\! \left(x , y\right) = F_{72}\! \left(x \right) F_{96}\! \left(x , y\right)
F_{164}\! \left(x , y\right) = F_{56}\! \left(x , y\right) F_{71}\! \left(x , y\right)
F_{165}\! \left(x , y\right) = F_{166}\! \left(x , y\right)+F_{167}\! \left(x , y\right)
F_{166}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{76}\! \left(x \right)
F_{167}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{168}\! \left(x \right)
F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{170}\! \left(x \right)+F_{6}\! \left(x \right)
F_{169}\! \left(x \right) = F_{10}\! \left(x \right) F_{76}\! \left(x \right)
F_{170}\! \left(x \right) = F_{10}\! \left(x \right) F_{171}\! \left(x \right)
F_{171}\! \left(x \right) = F_{10}\! \left(x \right)+F_{168}\! \left(x \right)
F_{172}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{174}\! \left(x , y\right)
F_{173}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{54}\! \left(x , y\right)
F_{174}\! \left(x , y\right) = F_{128}\! \left(x , y\right) F_{175}\! \left(x , y\right)
F_{175}\! \left(x , y\right) = F_{176}\! \left(x , y\right)+F_{177}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{176}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{54}\! \left(x , y\right)
F_{177}\! \left(x , y\right) = F_{178}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{178}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{175}\! \left(x , y\right)
F_{179}\! \left(x , y\right) = F_{180}\! \left(x , y\right)+F_{182}\! \left(x , y\right)+F_{185}\! \left(x , y\right)+F_{187}\! \left(x , y\right)+F_{6}\! \left(x \right)
F_{180}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{181}\! \left(x , y\right)
F_{181}\! \left(x , y\right) = F_{12}\! \left(x , y\right)+F_{83}\! \left(x , y\right)
F_{182}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{183}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{183}\! \left(x , y\right)
F_{184}\! \left(x , y\right) = F_{29}\! \left(x , y\right)+F_{62}\! \left(x , y\right)
F_{185}\! \left(x , y\right) = F_{186}\! \left(x \right)
F_{186}\! \left(x \right) = F_{10}\! \left(x \right) F_{5}\! \left(x \right) F_{78}\! \left(x \right)
F_{187}\! \left(x , y\right) = F_{179}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{188}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{184}\! \left(x , y\right)
F_{189}\! \left(x , y\right) = F_{50}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{190}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{191}\! \left(x , y\right)
F_{191}\! \left(x , y\right) = -\frac{-F_{132}\! \left(x , y\right) y +F_{132}\! \left(x , 1\right)}{-1+y}
F_{192}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{193}\! \left(x , y\right)
F_{193}\! \left(x , y\right) = F_{194}\! \left(x , y\right)+F_{195}\! \left(x , y\right)
F_{194}\! \left(x , y\right) = -\frac{-F_{97}\! \left(x , y\right) y +F_{97}\! \left(x , 1\right)}{-1+y}
F_{195}\! \left(x , y\right) = F_{196}\! \left(x , y\right)
F_{196}\! \left(x , y\right) = -\frac{-y F_{139}\! \left(x , y\right)+F_{139}\! \left(x , 1\right)}{-1+y}
F_{197}\! \left(x , y\right) = F_{198}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{198}\! \left(x , y\right) = F_{199}\! \left(x , y\right)+F_{97}\! \left(x , y\right)
F_{199}\! \left(x , y\right) = F_{139}\! \left(x , y\right)
F_{200}\! \left(x , y\right) = F_{10}\! \left(x \right) F_{87}\! \left(x , y\right)
F_{201}\! \left(x , y\right) = F_{13}\! \left(x , y\right) F_{56}\! \left(x , y\right)
F_{202}\! \left(x , y\right) = F_{203}\! \left(x , y\right)
F_{141}\! \left(x , y\right) = F_{203}\! \left(x , y\right)+F_{35}\! \left(x , y\right)
F_{204}\! \left(x \right) = F_{10}\! \left(x \right) F_{11}\! \left(x \right)
F_{205}\! \left(x \right) = F_{10}\! \left(x \right) F_{206}\! \left(x \right)
F_{206}\! \left(x \right) = F_{138}\! \left(x , 1\right)
F_{207}\! \left(x \right) = 2 F_{6}\! \left(x \right)+F_{208}\! \left(x \right)+F_{210}\! \left(x \right)+F_{213}\! \left(x \right)
F_{208}\! \left(x \right) = F_{10}\! \left(x \right) F_{209}\! \left(x \right)
F_{209}\! \left(x \right) = F_{48}\! \left(x , 1\right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{10}\! \left(x \right) F_{212}\! \left(x \right)
F_{212}\! \left(x \right) = F_{151}\! \left(x , 1\right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{10}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{207}\! \left(x \right)
F_{216}\! \left(x \right) = F_{10}\! \left(x \right) F_{24}\! \left(x \right)
F_{217}\! \left(x , y\right) = F_{196}\! \left(x , y\right)
F_{218}\! \left(x \right) = F_{10}\! \left(x \right) F_{26}\! \left(x \right)
F_{219}\! \left(x \right) = F_{10}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{8}\! \left(x \right)
F_{221}\! \left(x \right) = F_{17}\! \left(x \right)
F_{222}\! \left(x \right) = F_{10}\! \left(x \right) F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)+F_{226}\! \left(x \right)+F_{6}\! \left(x \right)
F_{224}\! \left(x \right) = F_{10}\! \left(x \right) F_{206}\! \left(x \right)
F_{225}\! \left(x \right) = F_{10}\! \left(x \right) F_{207}\! \left(x \right)
F_{226}\! \left(x \right) = F_{227}\! \left(x \right)
F_{227}\! \left(x \right) = F_{10}\! \left(x \right) F_{223}\! \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_10(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_222(x) + F_6(x) + F_7(x))
Eq(F_6(x), 0)
Eq(F_7(x), F_10(x)*F_8(x))
Eq(F_8(x), F_1(x) + F_218(x) + F_219(x) + F_9(x))
Eq(F_9(x), F_10(x)*F_11(x))
Eq(F_10(x), x)
Eq(F_11(x), F_12(x, 1))
Eq(F_12(x, k_0), F_13(x, k_0) + F_217(x, k_0))
Eq(F_13(x, k_0), F_14(x) + F_37(x, k_0))
Eq(F_14(x), F_1(x) + F_15(x) + F_216(x))
Eq(F_15(x), F_10(x)*F_16(x))
Eq(F_16(x), F_17(x) + F_4(x))
Eq(F_17(x), F_18(x) + F_20(x) + F_22(x) + F_6(x))
Eq(F_18(x), F_19(x))
Eq(F_19(x), F_10(x)*F_17(x))
Eq(F_20(x), F_21(x))
Eq(F_21(x), F_10(x)*F_17(x))
Eq(F_22(x), F_10(x)*F_23(x))
Eq(F_23(x), F_207(x) + F_24(x))
Eq(F_24(x), F_1(x) + F_204(x) + F_205(x) + F_25(x))
Eq(F_25(x), F_10(x)*F_26(x))
Eq(F_26(x), F_16(x) + F_27(x))
Eq(F_27(x), F_28(x))
Eq(F_28(x), F_29(x, 1))
Eq(F_29(x, k_0), F_30(x, k_0))
Eq(F_30(x, k_0), F_10(x)*F_31(x, k_0))
Eq(F_31(x, k_0), F_202(x, k_0) + F_32(x, k_0))
Eq(F_33(x, k_0), F_10(x)*F_32(x, k_0))
Eq(F_33(x, k_0), F_34(x, k_0))
Eq(F_35(x, k_0), F_13(x, k_0) + F_144(x, k_0) + F_34(x, k_0))
Eq(F_36(x, k_0), F_35(x, k_0)*F_56(x, k_0))
Eq(F_36(x, k_0), F_37(x, k_0))
Eq(F_37(x, k_0), F_200(x, k_0) + F_201(x, k_0) + F_38(x, k_0) + F_6(x))
Eq(F_38(x, k_0), F_10(x)*F_39(x, k_0))
Eq(F_39(x, k_0), F_113(x, k_0) + F_40(x, k_0) + F_42(x, k_0) + F_43(x, k_0) + F_6(x))
Eq(F_40(x, k_0), F_41(x, k_0))
Eq(F_41(x, k_0), F_10(x)*F_39(x, k_0))
Eq(F_42(x, k_0), F_38(x, k_0))
Eq(F_43(x, k_0), F_10(x)*F_44(x, k_0))
Eq(F_45(x, k_0), F_23(x) + F_44(x, k_0))
Eq(F_45(x, k_0), F_1(x) + F_133(x, k_0) + F_190(x, k_0) + F_192(x, k_0) + F_197(x, k_0) + F_46(x, k_0))
Eq(F_46(x, k_0), F_10(x)*F_47(x, k_0))
Eq(F_47(x, k_0), (k_0*F_48(x, k_0) - F_48(x, 1))/(k_0 - 1))
Eq(F_49(x, k_0), F_10(x)*F_48(x, k_0))
Eq(F_50(x, k_0), F_1(x) + F_180(x, k_0) + F_188(x, k_0) + F_189(x, k_0) + F_49(x, k_0))
Eq(F_50(x, k_0), F_179(x, k_0) + F_51(x, k_0))
Eq(F_51(x, k_0), F_52(x, k_0) + F_64(x, k_0))
Eq(F_52(x, k_0), F_53(x, k_0) + F_57(x, k_0))
Eq(F_53(x, k_0), F_1(x) + F_54(x, k_0))
Eq(F_54(x, k_0), F_55(x, k_0))
Eq(F_55(x, k_0), F_53(x, k_0)*F_56(x, k_0))
Eq(F_56(x, k_0), k_0*x)
Eq(F_57(x, k_0), F_58(x, k_0))
Eq(F_58(x, k_0), F_10(x)*F_53(x, k_0)*F_59(x, k_0))
Eq(F_59(x, k_0), F_1(x) + F_60(x, k_0) + F_61(x, k_0) + F_63(x, k_0))
Eq(F_60(x, k_0), F_10(x)*F_12(x, k_0))
Eq(F_61(x, k_0), F_10(x)*F_62(x, k_0))
Eq(F_62(x, k_0), F_16(x) + F_39(x, k_0))
Eq(F_63(x, k_0), F_56(x, k_0)*F_59(x, k_0))
Eq(F_64(x, k_0), F_65(x, k_0))
Eq(F_65(x, k_0), F_10(x)*F_66(x, k_0))
Eq(F_66(x, k_0), F_172(x, k_0) + F_67(x, k_0))
Eq(F_68(x, k_0), F_165(x, k_0) + F_67(x, k_0))
Eq(F_69(x, k_0), F_10(x)*F_68(x, k_0))
Eq(F_69(x, k_0), F_70(x, k_0))
Eq(F_70(x, k_0), F_10(x)*F_71(x, k_0))
Eq(F_71(x, k_0), F_164(x, k_0) + F_72(x) + F_79(x, k_0) + F_88(x, k_0) + F_92(x, k_0))
Eq(F_72(x), F_73(x) + F_76(x))
Eq(F_73(x), F_1(x) + F_74(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_10(x)*F_72(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_10(x)*F_78(x))
Eq(F_78(x), F_1(x) + F_76(x))
Eq(F_79(x, k_0), F_10(x)*F_80(x, k_0))
Eq(F_80(x, k_0), F_81(x, k_0) + F_82(x, k_0))
Eq(F_81(x, k_0), F_12(x, k_0)*F_72(x))
Eq(F_82(x, k_0), F_78(x)*F_83(x, k_0))
Eq(F_83(x, k_0), F_84(x, k_0))
Eq(F_84(x, k_0), F_10(x)*F_85(x, k_0))
Eq(F_86(x, k_0), F_56(x, k_0)*F_85(x, k_0))
Eq(F_86(x, k_0), F_87(x, k_0))
Eq(F_12(x, k_0), F_24(x) + F_87(x, k_0))
Eq(F_88(x, k_0), F_10(x)*F_89(x, k_0))
Eq(F_89(x, k_0), F_90(x, k_0) + F_91(x, k_0))
Eq(F_90(x, k_0), F_62(x, k_0)*F_72(x))
Eq(F_91(x, k_0), F_29(x, k_0)*F_78(x))
Eq(F_92(x, k_0), F_10(x)*F_93(x, k_0))
Eq(F_93(x, k_0), F_115(x, k_0) + F_94(x, k_0))
Eq(F_94(x, k_0), F_72(x)*F_95(x, k_0))
Eq(F_95(x, k_0), F_114(x, k_0) + F_96(x, k_0))
Eq(F_97(x, k_0), F_100(x, k_0) + F_96(x, k_0))
Eq(F_48(x, k_0), F_97(x, k_0) + F_98(x, k_0))
Eq(F_98(x, k_0), F_99(x))
Eq(F_99(x), F_5(x)*F_78(x))
Eq(F_100(x, k_0), F_101(x, k_0) + F_103(x, k_0) + F_109(x, k_0) + F_110(x, k_0) + F_6(x))
Eq(F_101(x, k_0), F_102(x, k_0))
Eq(F_102(x, k_0), F_10(x)*F_100(x, k_0))
Eq(F_103(x, k_0), F_10(x)*F_104(x, k_0))
Eq(F_104(x, k_0), F_105(x, k_0) + F_107(x, k_0) + F_108(x, k_0) + F_109(x, k_0) + F_6(x))
Eq(F_105(x, k_0), F_106(x, k_0))
Eq(F_106(x, k_0), F_10(x)*F_104(x, k_0))
Eq(F_107(x, k_0), F_103(x, k_0))
Eq(F_108(x, k_0), F_10(x)*F_45(x, k_0))
Eq(F_109(x, k_0), F_100(x, k_0)*F_56(x, k_0))
Eq(F_97(x, k_0), F_1(x) + F_110(x, k_0) + F_111(x, k_0) + F_112(x, k_0) + F_113(x, k_0))
Eq(F_111(x, k_0), F_10(x)*F_48(x, k_0))
Eq(F_112(x, k_0), F_10(x)*F_62(x, k_0))
Eq(F_113(x, k_0), F_56(x, k_0)*F_97(x, k_0))
Eq(F_114(x, k_0), F_99(x))
Eq(F_115(x, k_0), F_116(x, k_0))
Eq(F_117(x, k_0), F_116(x, k_0) + F_163(x, k_0))
Eq(F_117(x, k_0), F_118(x, k_0) + F_162(x, k_0))
Eq(F_119(x, k_0), F_118(x, k_0) + F_162(x, k_0))
Eq(F_120(x, k_0), F_10(x)*F_119(x, k_0))
Eq(F_121(x, k_0), F_120(x, k_0) + F_160(x, k_0) + F_161(x, k_0) + F_6(x))
Eq(F_122(x, k_0), F_121(x, k_0) + F_158(x, k_0))
Eq(F_122(x, k_0), F_123(x, k_0) + F_156(x, k_0))
Eq(F_123(x, k_0), F_124(x, k_0) + F_51(x, k_0))
Eq(F_124(x, k_0), F_10(x)*F_125(x, k_0)*F_78(x))
Eq(F_125(x, k_0), F_126(x, k_0) + F_52(x, k_0))
Eq(F_126(x, k_0), F_127(x, k_0) + F_155(x, k_0) + 2*F_6(x))
Eq(F_127(x, k_0), F_10(x)*F_128(x, k_0))
Eq(F_128(x, k_0), F_1(x) + F_129(x, k_0) + F_154(x, k_0) + F_60(x, k_0) + F_61(x, k_0))
Eq(F_129(x, k_0), F_10(x)*F_130(x, k_0))
Eq(F_131(x, k_0), F_10(x)*F_130(x, k_0))
Eq(F_132(x, k_0), F_1(x) + F_131(x, k_0) + F_133(x, k_0) + F_134(x, k_0) + F_136(x, k_0) + F_148(x, k_0))
Eq(F_110(x, k_0), F_10(x)*F_132(x, k_0))
Eq(F_12(x, k_0), F_1(x) + F_133(x, k_0) + F_134(x, k_0) + F_136(x, k_0) + F_147(x, k_0))
Eq(F_134(x, k_0), F_10(x)*F_135(x, k_0))
Eq(F_135(x, k_0), (k_0*F_12(x, k_0) - F_12(x, 1))/(k_0 - 1))
Eq(F_136(x, k_0), F_10(x)*F_137(x, k_0))
Eq(F_137(x, k_0), (k_0*F_138(x, k_0) - F_138(x, 1))/(k_0 - 1))
Eq(F_138(x, k_0), F_13(x, k_0) + F_139(x, k_0))
Eq(F_139(x, k_0), F_140(x, k_0))
Eq(F_140(x, k_0), F_10(x)*F_141(x, k_0))
Eq(F_141(x, k_0), F_13(x, k_0) + F_142(x, k_0) + F_144(x, k_0) + F_146(x, k_0))
Eq(F_142(x, k_0), F_143(x, k_0))
Eq(F_143(x, k_0), F_10(x)*F_31(x, k_0))
Eq(F_144(x, k_0), F_145(x, k_0))
Eq(F_145(x, k_0), F_10(x)*F_85(x, k_0))
Eq(F_146(x, k_0), F_141(x, k_0)*F_56(x, k_0))
Eq(F_147(x, k_0), F_138(x, k_0)*F_56(x, k_0))
Eq(F_148(x, k_0), F_149(x, k_0)*F_56(x, k_0))
Eq(F_149(x, k_0), F_150(x, k_0) + F_153(x, k_0))
Eq(F_150(x, k_0), F_13(x, k_0) + F_151(x, k_0))
Eq(F_151(x, k_0), F_131(x, k_0) + F_152(x, k_0) + 3*F_6(x))
Eq(F_152(x, k_0), F_151(x, k_0)*F_56(x, k_0))
Eq(F_153(x, k_0), F_139(x, k_0))
Eq(F_154(x, k_0), F_128(x, k_0)*F_56(x, k_0))
Eq(F_155(x, k_0), F_126(x, k_0)*F_56(x, k_0))
Eq(F_156(x, k_0), F_10(x)*F_157(x, k_0))
Eq(F_157(x, k_0), F_124(x, k_0) + F_156(x, k_0) + F_51(x, k_0))
Eq(F_158(x, k_0), F_159(x)*F_52(x, k_0))
Eq(F_159(x), F_74(x) + F_78(x))
Eq(F_160(x, k_0), F_10(x)*F_139(x, k_0)*F_78(x))
Eq(F_161(x, k_0), F_121(x, k_0)*F_56(x, k_0))
Eq(F_162(x, k_0), F_150(x, k_0)*F_76(x))
Eq(F_163(x, k_0), F_72(x)*F_96(x, k_0))
Eq(F_164(x, k_0), F_56(x, k_0)*F_71(x, k_0))
Eq(F_165(x, k_0), F_166(x, k_0) + F_167(x, k_0))
Eq(F_166(x, k_0), F_50(x, k_0)*F_76(x))
Eq(F_167(x, k_0), F_128(x, k_0)*F_168(x))
Eq(F_168(x), F_169(x) + F_170(x) + F_6(x))
Eq(F_169(x), F_10(x)*F_76(x))
Eq(F_170(x), F_10(x)*F_171(x))
Eq(F_171(x), F_10(x) + F_168(x))
Eq(F_172(x, k_0), F_173(x, k_0) + F_174(x, k_0))
Eq(F_173(x, k_0), F_50(x, k_0)*F_54(x, k_0))
Eq(F_174(x, k_0), F_128(x, k_0)*F_175(x, k_0))
Eq(F_175(x, k_0), F_176(x, k_0) + F_177(x, k_0) + F_6(x))
Eq(F_176(x, k_0), F_10(x)*F_54(x, k_0))
Eq(F_177(x, k_0), F_178(x, k_0)*F_56(x, k_0))
Eq(F_178(x, k_0), F_10(x) + F_175(x, k_0))
Eq(F_179(x, k_0), F_180(x, k_0) + F_182(x, k_0) + F_185(x, k_0) + F_187(x, k_0) + F_6(x))
Eq(F_180(x, k_0), F_10(x)*F_181(x, k_0))
Eq(F_181(x, k_0), F_12(x, k_0) + F_83(x, k_0))
Eq(F_182(x, k_0), F_10(x)*F_183(x, k_0))
Eq(F_184(x, k_0), F_138(x, k_0) + F_183(x, k_0))
Eq(F_184(x, k_0), F_29(x, k_0) + F_62(x, k_0))
Eq(F_185(x, k_0), F_186(x))
Eq(F_186(x), F_10(x)*F_5(x)*F_78(x))
Eq(F_187(x, k_0), F_179(x, k_0)*F_56(x, k_0))
Eq(F_188(x, k_0), F_10(x)*F_184(x, k_0))
Eq(F_189(x, k_0), F_50(x, k_0)*F_56(x, k_0))
Eq(F_190(x, k_0), F_10(x)*F_191(x, k_0))
Eq(F_191(x, k_0), (k_0*F_132(x, k_0) - F_132(x, 1))/(k_0 - 1))
Eq(F_192(x, k_0), F_10(x)*F_193(x, k_0))
Eq(F_193(x, k_0), F_194(x, k_0) + F_195(x, k_0))
Eq(F_194(x, k_0), (k_0*F_97(x, k_0) - F_97(x, 1))/(k_0 - 1))
Eq(F_195(x, k_0), F_196(x, k_0))
Eq(F_196(x, k_0), (k_0*F_139(x, k_0) - F_139(x, 1))/(k_0 - 1))
Eq(F_197(x, k_0), F_198(x, k_0)*F_56(x, k_0))
Eq(F_198(x, k_0), F_199(x, k_0) + F_97(x, k_0))
Eq(F_199(x, k_0), F_139(x, k_0))
Eq(F_200(x, k_0), F_10(x)*F_87(x, k_0))
Eq(F_201(x, k_0), F_13(x, k_0)*F_56(x, k_0))
Eq(F_202(x, k_0), F_203(x, k_0))
Eq(F_141(x, k_0), F_203(x, k_0) + F_35(x, k_0))
Eq(F_204(x), F_10(x)*F_11(x))
Eq(F_205(x), F_10(x)*F_206(x))
Eq(F_206(x), F_138(x, 1))
Eq(F_207(x), F_208(x) + F_210(x) + F_213(x) + 2*F_6(x))
Eq(F_208(x), F_10(x)*F_209(x))
Eq(F_209(x), F_48(x, 1))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_10(x)*F_212(x))
Eq(F_212(x), F_151(x, 1))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_10(x)*F_215(x))
Eq(F_215(x), F_207(x))
Eq(F_216(x), F_10(x)*F_24(x))
Eq(F_217(x, k_0), F_196(x, k_0))
Eq(F_218(x), F_10(x)*F_26(x))
Eq(F_219(x), F_10(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_8(x))
Eq(F_221(x), F_17(x))
Eq(F_222(x), F_10(x)*F_223(x))
Eq(F_223(x), F_224(x) + F_225(x) + F_226(x) + F_6(x))
Eq(F_224(x), F_10(x)*F_206(x))
Eq(F_225(x), F_10(x)*F_207(x))
Eq(F_226(x), F_227(x))
Eq(F_227(x), F_10(x)*F_223(x))
Pack JSON:
{"name": "point_and_col_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": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}], [{"class_module": "tilings.strategies.requirement_placement", "strategy_class": "FusableRowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": true, "place_col": true}]], "symmetries": [{"class_module": "tilings.strategies.symmetry", "strategy_class": "SymmetriesFactory", "basis": null}], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 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, 1], "pos": [[0, 3], [0, 3]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 3]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 3]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 3], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 3], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 3], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 3], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 3], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 3], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 3], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 3], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 3], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], 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0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 3], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 2], [0, 0], [0, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 1], [0, 0], [0, 3], [0, 0], [0, 1]]}, {"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, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 2], [0, 1], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 1], [0, 0], [0, 3], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 1], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 2], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 1], [0, 3], [0, 0], [0, 0], [0, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 2], [0, 0], [0, 1], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 1], [0, 3], [0, 0], [0, 1], [0, 0]]}], "requirements": [], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 3]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 0, 2], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 1]]}, {"patt": [1, 2, 0], "pos": [[0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 1], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [1, 2, 3, 0], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 1], [0, 1], [0, 2], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 1], [0, 2], [0, 1], [0, 1]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 1, 2], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 1], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 1], "pos": [[0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 2], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 1], [0, 2], [0, 0], [0, 1]]}, {"patt": [0, 3, 4, 2, 1], 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[1, 1], [1, 0], [1, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], "requirements": [[{"patt": [0], "pos": [[1, 0]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[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": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 1]]}, {"patt": [0], "pos": [[1, 0]]}]}]}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": true}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 0, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [1, 2, 0], "pos": [[0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RequirementPlacementStrategy", "ignore_parent": false, "gps": [{"patt": [0], "pos": [[0, 0]]}], "indices": [0], "direction": 2, "own_col": true, "own_row": true, "include_empty": false}}, {"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": [0, 1], "pos": [[1, 0], [1, 2]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [1, 0]]}, {"patt": [0, 1, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 0, 2], "pos": [[1, 0], [1, 0], [1, 0]]}, {"patt": [1, 2, 0], "pos": [[1, 0], [1, 0], [1, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}, {"patt": [0], "pos": [[0, 2]]}, {"patt": [0], "pos": [[1, 0]]}, {"patt": [0], "pos": [[1, 1]]}, {"patt": [0], "pos": [[2, 1]]}, {"patt": [0], "pos": [[2, 2]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[1, 2], [1, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[1, 2], [2, 0]]}, {"patt": [0, 1, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 0, 2], "pos": [[2, 0], [2, 0], [2, 0]]}, {"patt": [1, 2, 0], "pos": [[2, 0], [2, 0], [2, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0], "pos": [[0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": [{"class_module": "tilings.assumptions", "assumption": "TrackingAssumption", "gps": [{"patt": [0], "pos": [[0, 0]]}]}]}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "VerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 2
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25206/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[120,x]+F[9,x]
F[9,x] = F[10,x]+F[38,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[15,x]*F[25,x]*F[4,x]
F[13,x] = F[14,x]+F[18,x]
F[14,x] = F[0,x]*F[15,x]
F[15,x] = F[1,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[4,x]
F[18,x] = F[15,x]*F[19,x]
F[19,x] = 1/F[15,x]*F[20,x]
F[20,x] = -F[24,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[15,x]*F[2,x]
F[23,x] = F[16,x]*F[19,x]
F[24,x] = F[0,x]*F[16,x]
F[25,x] = F[1,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[4,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]+F[33,x]+F[37,x]
F[32,x] = 0
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[4,x]
F[36,x] = F[31,x]
F[37,x] = F[26,x]*F[4,x]
F[38,x] = F[39,x]+F[41,x]
F[39,x] = F[0,x]*F[40,x]
F[40,x] = x*(1+F[40,x])^2*(x*F[40,x]+1)
F[41,x] = F[112,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[45,x]+F[47,x]
F[45,x] = F[15,x]*F[46,x]
F[46,x] = F[40,x]+F[42,x]
F[47,x] = F[48,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[102,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[58,x]+F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[56,x]
F[56,x] = -F[57,x]+F[5,x]
F[57,x] = 1+x^2*F[57,x]^3+(-x^2+x)*F[57,x]^2
F[58,x] = -F[61,x]+F[59,x]
F[59,x] = 1/F[4,x]*F[60,x]
F[60,x] = F[6,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[25,x]+F[46,x]
F[63,x] = F[46,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[76,x]
F[67,x] = F[68,x]+F[74,x]
F[68,x] = F[46,x]*F[69,x]
F[69,x] = 1/F[0,x]*F[70,x]
F[70,x] = -F[71,x]+F[59,x]
F[71,x] = F[52,x]+F[72,x]
F[72,x] = -F[73,x]+F[58,x]
F[73,x] = F[2,x]*F[69,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[46,x]*F[49,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[62,x]*F[78,x]
F[78,x] = 1/F[4,x]/F[9,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[98,x]+F[81,x]
F[81,x] = 1/F[4,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[38,x]+F[84,x]
F[84,x] = -F[85,x]+F[59,x]
F[85,x] = F[62,x]+F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[2,x]*F[57,x]
F[88,x] = F[89,x]
F[89,x] = F[4,x]*F[90,x]
F[90,x] = F[91,x]+F[94,x]
F[91,x] = F[2,x]*F[92,x]
F[92,x] = F[47,x]+F[93,x]
F[93,x] = F[15,x]*F[62,x]
F[94,x] = F[21,x]*F[95,x]
F[95,x] = F[93,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[15,x]*F[4,x]*F[78,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[38,x]*F[69,x]
F[100,x] = F[101,x]
F[101,x] = F[38,x]*F[4,x]*F[49,x]
F[102,x] = F[103,x]*F[16,x]
F[103,x] = 1/F[2,x]*F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[72,x]
F[107,x] = F[108,x]+F[109,x]
F[108,x] = F[2,x]*F[50,x]
F[109,x] = F[103,x]*F[110,x]
F[110,x] = F[111,x]+F[23,x]
F[111,x] = F[16,x]*F[2,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[116,x]
F[115,x] = F[2,x]*F[44,x]
F[116,x] = F[117,x]*F[21,x]
F[117,x] = F[118,x]+F[45,x]
F[118,x] = F[119,x]
F[119,x] = F[103,x]*F[15,x]*F[4,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[4,x]
F[122,x] = F[123,x]+F[135,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[57,x]*F[8,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[128,x]+F[132,x]
F[128,x] = F[129,x]*F[8,x]
F[129,x] = F[130,x]+F[92,x]
F[130,x] = F[131,x]*F[16,x]
F[131,x] = F[118,x]+F[93,x]
F[132,x] = F[133,x]*F[15,x]*F[95,x]
F[133,x] = F[134,x]+F[21,x]
F[134,x] = F[16,x]*F[6,x]
F[135,x] = F[136,x]
F[136,x] = F[4,x]*F[8,x]*F[95,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{120}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{38}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{20}\! \left(x \right) = -F_{24}\! \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) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{23}\! \left(x \right) = F_{16}\! \left(x \right) F_{19}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)
F_{25}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{37}\! \left(x \right)
F_{32}\! \left(x \right) = 0
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right)
F_{37}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{41}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = x^{2} F_{40} \left(x \right)^{3}+2 x^{2} F_{40} \left(x \right)^{2}+x^{2} F_{40}\! \left(x \right)+x F_{40} \left(x \right)^{2}+2 x F_{40}\! \left(x \right)+x
F_{41}\! \left(x \right) = F_{112}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{47}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{102}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = x^{2} F_{57} \left(x \right)^{3}-x^{2} F_{57} \left(x \right)^{2}+x F_{57} \left(x \right)^{2}+1
F_{58}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{6}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{25}\! \left(x \right)+F_{46}\! \left(x \right)
F_{63}\! \left(x \right) = F_{46}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{76}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{74}\! \left(x \right)
F_{68}\! \left(x \right) = F_{46}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{52}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{58}\! \left(x \right)
F_{73}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right) F_{49}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{4}\! \left(x \right) F_{9}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{59}\! \left(x \right)
F_{85}\! \left(x \right) = F_{62}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{94}\! \left(x \right)
F_{91}\! \left(x \right) = F_{2}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{47}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{15}\! \left(x \right) F_{62}\! \left(x \right)
F_{94}\! \left(x \right) = F_{21}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{93}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{38}\! \left(x \right) F_{69}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{16}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{72}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{109}\! \left(x \right)
F_{108}\! \left(x \right) = F_{2}\! \left(x \right) F_{50}\! \left(x \right)
F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{23}\! \left(x \right)
F_{111}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{116}\! \left(x \right)
F_{115}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{21}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{45}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{103}\! \left(x \right) F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{57}\! \left(x \right) F_{8}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{132}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{8}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{92}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{16}\! \left(x \right)
F_{131}\! \left(x \right) = F_{118}\! \left(x \right)+F_{93}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{15}\! \left(x \right) F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{21}\! \left(x \right)
F_{134}\! \left(x \right) = F_{16}\! \left(x \right) F_{6}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right) F_{95}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_120(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_38(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_15(x)*F_25(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_18(x))
Eq(F_14(x), F_0(x)*F_15(x))
Eq(F_15(x), F_1(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_4(x))
Eq(F_18(x), F_15(x)*F_19(x))
Eq(F_19(x), F_20(x)/F_15(x))
Eq(F_20(x), F_21(x) - F_24(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_15(x)*F_2(x))
Eq(F_23(x), F_16(x)*F_19(x))
Eq(F_24(x), F_0(x)*F_16(x))
Eq(F_25(x), F_1(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_4(x))
Eq(F_30(x), F_26(x) + F_31(x))
Eq(F_31(x), F_32(x) + F_33(x) + F_37(x))
Eq(F_32(x), 0)
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_4(x))
Eq(F_36(x), F_31(x))
Eq(F_37(x), F_26(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_41(x))
Eq(F_39(x), F_0(x)*F_40(x))
Eq(F_40(x), x**2*(F_40(x) + 1)**3 - x*(x - 1)*(F_40(x) + 1)**2)
Eq(F_41(x), F_112(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_47(x))
Eq(F_45(x), F_15(x)*F_46(x))
Eq(F_46(x), F_40(x) + F_42(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_102(x) + F_50(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x) - F_58(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_56(x))
Eq(F_56(x), F_5(x) - F_57(x))
Eq(F_57(x), x**2*F_57(x)**3 - x*(x - 1)*F_57(x)**2 + 1)
Eq(F_58(x), F_59(x) - F_61(x))
Eq(F_59(x), F_60(x)/F_4(x))
Eq(F_60(x), F_6(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_25(x) + F_46(x))
Eq(F_63(x), F_46(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_76(x))
Eq(F_67(x), F_68(x) + F_74(x))
Eq(F_68(x), F_46(x)*F_69(x))
Eq(F_69(x), F_70(x)/F_0(x))
Eq(F_70(x), F_59(x) - F_71(x))
Eq(F_71(x), F_52(x) + F_72(x))
Eq(F_72(x), F_58(x) - F_73(x))
Eq(F_73(x), F_2(x)*F_69(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_46(x)*F_49(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_62(x)*F_78(x))
Eq(F_78(x), F_79(x)/(F_4(x)*F_9(x)))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_81(x) - F_98(x))
Eq(F_81(x), F_82(x)/F_4(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), -F_38(x) + F_84(x))
Eq(F_84(x), F_59(x) - F_85(x))
Eq(F_85(x), F_62(x) + F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_2(x)*F_57(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_4(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_94(x))
Eq(F_91(x), F_2(x)*F_92(x))
Eq(F_92(x), F_47(x) + F_93(x))
Eq(F_93(x), F_15(x)*F_62(x))
Eq(F_94(x), F_21(x)*F_95(x))
Eq(F_95(x), F_93(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_15(x)*F_4(x)*F_78(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_38(x)*F_69(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_38(x)*F_4(x)*F_49(x))
Eq(F_102(x), F_103(x)*F_16(x))
Eq(F_103(x), F_104(x)/F_2(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_72(x))
Eq(F_107(x), F_108(x) + F_109(x))
Eq(F_108(x), F_2(x)*F_50(x))
Eq(F_109(x), F_103(x)*F_110(x))
Eq(F_110(x), F_111(x) + F_23(x))
Eq(F_111(x), F_16(x)*F_2(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_116(x))
Eq(F_115(x), F_2(x)*F_44(x))
Eq(F_116(x), F_117(x)*F_21(x))
Eq(F_117(x), F_118(x) + F_45(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_103(x)*F_15(x)*F_4(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_4(x))
Eq(F_122(x), F_123(x) + F_135(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_57(x)*F_8(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_128(x) + F_132(x))
Eq(F_128(x), F_129(x)*F_8(x))
Eq(F_129(x), F_130(x) + F_92(x))
Eq(F_130(x), F_131(x)*F_16(x))
Eq(F_131(x), F_118(x) + F_93(x))
Eq(F_132(x), F_133(x)*F_15(x)*F_95(x))
Eq(F_133(x), F_134(x) + F_21(x))
Eq(F_134(x), F_16(x)*F_6(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_4(x)*F_8(x)*F_95(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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"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]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 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": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 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": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 3
Strategy pack name: point_placements_req_corrob
Tree: http://www.permpal.com/tree/25563/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[4,x]*F[5,x]
F[4,x] = x
F[5,x] = F[0,x]+F[6,x]
F[6,x] = F[7,x]
F[7,x] = F[4,x]*F[8,x]
F[8,x] = F[120,x]+F[9,x]
F[9,x] = F[10,x]+F[38,x]
F[10,x] = F[0,x]+F[11,x]
F[11,x] = F[12,x]
F[12,x] = F[13,x]*F[15,x]*F[25,x]*F[4,x]
F[13,x] = F[14,x]+F[18,x]
F[14,x] = F[0,x]*F[15,x]
F[15,x] = F[1,x]+F[16,x]
F[16,x] = F[17,x]
F[17,x] = F[15,x]*F[4,x]
F[18,x] = F[15,x]*F[19,x]
F[19,x] = 1/F[15,x]*F[20,x]
F[20,x] = -F[24,x]+F[21,x]
F[21,x] = F[22,x]+F[23,x]
F[22,x] = F[15,x]*F[2,x]
F[23,x] = F[16,x]*F[19,x]
F[24,x] = F[0,x]*F[16,x]
F[25,x] = F[1,x]+F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[28,x]*F[4,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[4,x]
F[30,x] = F[26,x]+F[31,x]
F[31,x] = F[32,x]+F[33,x]+F[37,x]
F[32,x] = 0
F[33,x] = F[34,x]*F[4,x]
F[34,x] = F[35,x]+F[36,x]
F[35,x] = F[4,x]
F[36,x] = F[31,x]
F[37,x] = F[26,x]*F[4,x]
F[38,x] = F[39,x]+F[41,x]
F[39,x] = F[0,x]*F[40,x]
F[40,x] = x*(1+F[40,x])^2*(x*F[40,x]+1)
F[41,x] = F[112,x]+F[42,x]
F[42,x] = F[43,x]
F[43,x] = F[4,x]*F[44,x]
F[44,x] = F[45,x]+F[47,x]
F[45,x] = F[15,x]*F[46,x]
F[46,x] = F[40,x]+F[42,x]
F[47,x] = F[48,x]
F[48,x] = F[4,x]*F[49,x]
F[49,x] = F[102,x]+F[50,x]
F[50,x] = 1/F[4,x]*F[51,x]
F[51,x] = F[52,x]
F[52,x] = -F[58,x]+F[53,x]
F[53,x] = 1/F[4,x]*F[54,x]
F[54,x] = F[55,x]
F[55,x] = -F[2,x]+F[56,x]
F[56,x] = -F[57,x]+F[5,x]
F[57,x] = 1+x^2*F[57,x]^3+(-x^2+x)*F[57,x]^2
F[58,x] = -F[61,x]+F[59,x]
F[59,x] = 1/F[4,x]*F[60,x]
F[60,x] = F[6,x]
F[61,x] = F[62,x]+F[63,x]
F[62,x] = F[25,x]+F[46,x]
F[63,x] = F[46,x]+F[64,x]
F[64,x] = F[65,x]
F[65,x] = F[4,x]*F[66,x]
F[66,x] = F[67,x]+F[76,x]
F[67,x] = F[68,x]+F[74,x]
F[68,x] = F[46,x]*F[69,x]
F[69,x] = 1/F[0,x]*F[70,x]
F[70,x] = -F[71,x]+F[59,x]
F[71,x] = F[52,x]+F[72,x]
F[72,x] = -F[73,x]+F[58,x]
F[73,x] = F[2,x]*F[69,x]
F[74,x] = F[75,x]
F[75,x] = F[4,x]*F[46,x]*F[49,x]
F[76,x] = F[77,x]
F[77,x] = F[4,x]*F[62,x]*F[78,x]
F[78,x] = 1/F[4,x]/F[9,x]*F[79,x]
F[79,x] = F[80,x]
F[80,x] = -F[98,x]+F[81,x]
F[81,x] = 1/F[4,x]*F[82,x]
F[82,x] = F[83,x]
F[83,x] = -F[38,x]+F[84,x]
F[84,x] = -F[85,x]+F[59,x]
F[85,x] = F[62,x]+F[86,x]
F[86,x] = F[87,x]+F[88,x]
F[87,x] = F[2,x]*F[57,x]
F[88,x] = F[89,x]
F[89,x] = F[4,x]*F[90,x]
F[90,x] = F[91,x]+F[94,x]
F[91,x] = F[2,x]*F[92,x]
F[92,x] = F[47,x]+F[93,x]
F[93,x] = F[15,x]*F[62,x]
F[94,x] = F[21,x]*F[95,x]
F[95,x] = F[93,x]+F[96,x]
F[96,x] = F[97,x]
F[97,x] = F[15,x]*F[4,x]*F[78,x]
F[98,x] = F[100,x]+F[99,x]
F[99,x] = F[38,x]*F[69,x]
F[100,x] = F[101,x]
F[101,x] = F[38,x]*F[4,x]*F[49,x]
F[102,x] = F[103,x]*F[16,x]
F[103,x] = 1/F[2,x]*F[104,x]
F[104,x] = -F[107,x]+F[105,x]
F[105,x] = 1/F[4,x]*F[106,x]
F[106,x] = F[72,x]
F[107,x] = F[108,x]+F[109,x]
F[108,x] = F[2,x]*F[50,x]
F[109,x] = F[103,x]*F[110,x]
F[110,x] = F[111,x]+F[23,x]
F[111,x] = F[16,x]*F[2,x]
F[112,x] = F[113,x]
F[113,x] = F[114,x]*F[4,x]
F[114,x] = F[115,x]+F[116,x]
F[115,x] = F[2,x]*F[44,x]
F[116,x] = F[117,x]*F[21,x]
F[117,x] = F[118,x]+F[45,x]
F[118,x] = F[119,x]
F[119,x] = F[103,x]*F[15,x]*F[4,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[4,x]
F[122,x] = F[123,x]+F[135,x]
F[123,x] = F[124,x]+F[125,x]
F[124,x] = F[57,x]*F[8,x]
F[125,x] = F[126,x]
F[126,x] = F[127,x]*F[4,x]
F[127,x] = F[128,x]+F[132,x]
F[128,x] = F[129,x]*F[8,x]
F[129,x] = F[130,x]+F[92,x]
F[130,x] = F[131,x]*F[16,x]
F[131,x] = F[118,x]+F[93,x]
F[132,x] = F[133,x]*F[15,x]*F[95,x]
F[133,x] = F[134,x]+F[21,x]
F[134,x] = F[16,x]*F[6,x]
F[135,x] = F[136,x]
F[136,x] = F[4,x]*F[8,x]*F[95,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{4}\! \left(x \right) F_{5}\! \left(x \right)
F_{4}\! \left(x \right) = x
F_{5}\! \left(x \right) = F_{0}\! \left(x \right)+F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{120}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{38}\! \left(x \right)
F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{15}\! \left(x \right) F_{25}\! \left(x \right) F_{4}\! \left(x \right)
F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{18}\! \left(x \right)
F_{14}\! \left(x \right) = F_{0}\! \left(x \right) F_{15}\! \left(x \right)
F_{15}\! \left(x \right) = F_{1}\! \left(x \right)+F_{16}\! \left(x \right)
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)
F_{17}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{18}\! \left(x \right) = F_{15}\! \left(x \right) F_{19}\! \left(x \right)
F_{19}\! \left(x \right) = \frac{F_{20}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{20}\! \left(x \right) = -F_{24}\! \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) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)
F_{23}\! \left(x \right) = F_{16}\! \left(x \right) F_{19}\! \left(x \right)
F_{24}\! \left(x \right) = F_{0}\! \left(x \right) F_{16}\! \left(x \right)
F_{25}\! \left(x \right) = F_{1}\! \left(x \right)+F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{4}\! \left(x \right)
F_{30}\! \left(x \right) = F_{26}\! \left(x \right)+F_{31}\! \left(x \right)
F_{31}\! \left(x \right) = F_{32}\! \left(x \right)+F_{33}\! \left(x \right)+F_{37}\! \left(x \right)
F_{32}\! \left(x \right) = 0
F_{33}\! \left(x \right) = F_{34}\! \left(x \right) F_{4}\! \left(x \right)
F_{34}\! \left(x \right) = F_{35}\! \left(x \right)+F_{36}\! \left(x \right)
F_{35}\! \left(x \right) = F_{4}\! \left(x \right)
F_{36}\! \left(x \right) = F_{31}\! \left(x \right)
F_{37}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)
F_{38}\! \left(x \right) = F_{39}\! \left(x \right)+F_{41}\! \left(x \right)
F_{39}\! \left(x \right) = F_{0}\! \left(x \right) F_{40}\! \left(x \right)
F_{40}\! \left(x \right) = x^{2} F_{40} \left(x \right)^{3}+2 x^{2} F_{40} \left(x \right)^{2}+F_{40}\! \left(x \right) x^{2}+x F_{40} \left(x \right)^{2}+2 x F_{40}\! \left(x \right)+x
F_{41}\! \left(x \right) = F_{112}\! \left(x \right)+F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{4}\! \left(x \right) F_{44}\! \left(x \right)
F_{44}\! \left(x \right) = F_{45}\! \left(x \right)+F_{47}\! \left(x \right)
F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{46}\! \left(x \right)
F_{46}\! \left(x \right) = F_{40}\! \left(x \right)+F_{42}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{49}\! \left(x \right) = F_{102}\! \left(x \right)+F_{50}\! \left(x \right)
F_{50}\! \left(x \right) = \frac{F_{51}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{51}\! \left(x \right) = F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = -F_{58}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{54}\! \left(x \right) = F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = -F_{57}\! \left(x \right)+F_{5}\! \left(x \right)
F_{57}\! \left(x \right) = x^{2} F_{57} \left(x \right)^{3}-x^{2} F_{57} \left(x \right)^{2}+x F_{57} \left(x \right)^{2}+1
F_{58}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{59}\! \left(x \right)
F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{60}\! \left(x \right) = F_{6}\! \left(x \right)
F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{63}\! \left(x \right)
F_{62}\! \left(x \right) = F_{25}\! \left(x \right)+F_{46}\! \left(x \right)
F_{63}\! \left(x \right) = F_{46}\! \left(x \right)+F_{64}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)
F_{65}\! \left(x \right) = F_{4}\! \left(x \right) F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)+F_{76}\! \left(x \right)
F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{74}\! \left(x \right)
F_{68}\! \left(x \right) = F_{46}\! \left(x \right) F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{0}\! \left(x \right)}
F_{70}\! \left(x \right) = -F_{71}\! \left(x \right)+F_{59}\! \left(x \right)
F_{71}\! \left(x \right) = F_{52}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = -F_{73}\! \left(x \right)+F_{58}\! \left(x \right)
F_{73}\! \left(x \right) = F_{2}\! \left(x \right) F_{69}\! \left(x \right)
F_{74}\! \left(x \right) = F_{75}\! \left(x \right)
F_{75}\! \left(x \right) = F_{4}\! \left(x \right) F_{46}\! \left(x \right) F_{49}\! \left(x \right)
F_{76}\! \left(x \right) = F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{4}\! \left(x \right) F_{62}\! \left(x \right) F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = \frac{F_{79}\! \left(x \right)}{F_{4}\! \left(x \right) F_{9}\! \left(x \right)}
F_{79}\! \left(x \right) = F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = -F_{98}\! \left(x \right)+F_{81}\! \left(x \right)
F_{81}\! \left(x \right) = \frac{F_{82}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{82}\! \left(x \right) = F_{83}\! \left(x \right)
F_{83}\! \left(x \right) = -F_{38}\! \left(x \right)+F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = -F_{85}\! \left(x \right)+F_{59}\! \left(x \right)
F_{85}\! \left(x \right) = F_{62}\! \left(x \right)+F_{86}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)+F_{88}\! \left(x \right)
F_{87}\! \left(x \right) = F_{2}\! \left(x \right) F_{57}\! \left(x \right)
F_{88}\! \left(x \right) = F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{91}\! \left(x \right)+F_{94}\! \left(x \right)
F_{91}\! \left(x \right) = F_{2}\! \left(x \right) F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{47}\! \left(x \right)+F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = F_{15}\! \left(x \right) F_{62}\! \left(x \right)
F_{94}\! \left(x \right) = F_{21}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{93}\! \left(x \right)+F_{96}\! \left(x \right)
F_{96}\! \left(x \right) = F_{97}\! \left(x \right)
F_{97}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right) F_{78}\! \left(x \right)
F_{98}\! \left(x \right) = F_{100}\! \left(x \right)+F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{38}\! \left(x \right) F_{69}\! \left(x \right)
F_{100}\! \left(x \right) = F_{101}\! \left(x \right)
F_{101}\! \left(x \right) = F_{38}\! \left(x \right) F_{4}\! \left(x \right) F_{49}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right) F_{16}\! \left(x \right)
F_{103}\! \left(x \right) = \frac{F_{104}\! \left(x \right)}{F_{2}\! \left(x \right)}
F_{104}\! \left(x \right) = -F_{107}\! \left(x \right)+F_{105}\! \left(x \right)
F_{105}\! \left(x \right) = \frac{F_{106}\! \left(x \right)}{F_{4}\! \left(x \right)}
F_{106}\! \left(x \right) = F_{72}\! \left(x \right)
F_{107}\! \left(x \right) = F_{108}\! \left(x \right)+F_{109}\! \left(x \right)
F_{108}\! \left(x \right) = F_{2}\! \left(x \right) F_{50}\! \left(x \right)
F_{109}\! \left(x \right) = F_{103}\! \left(x \right) F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{23}\! \left(x \right)
F_{111}\! \left(x \right) = F_{16}\! \left(x \right) F_{2}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{4}\! \left(x \right)
F_{114}\! \left(x \right) = F_{115}\! \left(x \right)+F_{116}\! \left(x \right)
F_{115}\! \left(x \right) = F_{2}\! \left(x \right) F_{44}\! \left(x \right)
F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{21}\! \left(x \right)
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{45}\! \left(x \right)
F_{118}\! \left(x \right) = F_{119}\! \left(x \right)
F_{119}\! \left(x \right) = F_{103}\! \left(x \right) F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{4}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{135}\! \left(x \right)
F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{125}\! \left(x \right)
F_{124}\! \left(x \right) = F_{57}\! \left(x \right) F_{8}\! \left(x \right)
F_{125}\! \left(x \right) = F_{126}\! \left(x \right)
F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{4}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{132}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{8}\! \left(x \right)
F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{92}\! \left(x \right)
F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{16}\! \left(x \right)
F_{131}\! \left(x \right) = F_{118}\! \left(x \right)+F_{93}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{15}\! \left(x \right) F_{95}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{21}\! \left(x \right)
F_{134}\! \left(x \right) = F_{16}\! \left(x \right) F_{6}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right)
F_{136}\! \left(x \right) = F_{4}\! \left(x \right) F_{8}\! \left(x \right) F_{95}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_4(x)*F_5(x))
Eq(F_4(x), x)
Eq(F_5(x), F_0(x) + F_6(x))
Eq(F_6(x), F_7(x))
Eq(F_7(x), F_4(x)*F_8(x))
Eq(F_8(x), F_120(x) + F_9(x))
Eq(F_9(x), F_10(x) + F_38(x))
Eq(F_10(x), F_0(x) + F_11(x))
Eq(F_11(x), F_12(x))
Eq(F_12(x), F_13(x)*F_15(x)*F_25(x)*F_4(x))
Eq(F_13(x), F_14(x) + F_18(x))
Eq(F_14(x), F_0(x)*F_15(x))
Eq(F_15(x), F_1(x) + F_16(x))
Eq(F_16(x), F_17(x))
Eq(F_17(x), F_15(x)*F_4(x))
Eq(F_18(x), F_15(x)*F_19(x))
Eq(F_19(x), F_20(x)/F_15(x))
Eq(F_20(x), F_21(x) - F_24(x))
Eq(F_21(x), F_22(x) + F_23(x))
Eq(F_22(x), F_15(x)*F_2(x))
Eq(F_23(x), F_16(x)*F_19(x))
Eq(F_24(x), F_0(x)*F_16(x))
Eq(F_25(x), F_1(x) + F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_28(x)*F_4(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_4(x))
Eq(F_30(x), F_26(x) + F_31(x))
Eq(F_31(x), F_32(x) + F_33(x) + F_37(x))
Eq(F_32(x), 0)
Eq(F_33(x), F_34(x)*F_4(x))
Eq(F_34(x), F_35(x) + F_36(x))
Eq(F_35(x), F_4(x))
Eq(F_36(x), F_31(x))
Eq(F_37(x), F_26(x)*F_4(x))
Eq(F_38(x), F_39(x) + F_41(x))
Eq(F_39(x), F_0(x)*F_40(x))
Eq(F_40(x), x**2*(F_40(x) + 1)**3 - x*(x - 1)*(F_40(x) + 1)**2)
Eq(F_41(x), F_112(x) + F_42(x))
Eq(F_42(x), F_43(x))
Eq(F_43(x), F_4(x)*F_44(x))
Eq(F_44(x), F_45(x) + F_47(x))
Eq(F_45(x), F_15(x)*F_46(x))
Eq(F_46(x), F_40(x) + F_42(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_4(x)*F_49(x))
Eq(F_49(x), F_102(x) + F_50(x))
Eq(F_50(x), F_51(x)/F_4(x))
Eq(F_51(x), F_52(x))
Eq(F_52(x), F_53(x) - F_58(x))
Eq(F_53(x), F_54(x)/F_4(x))
Eq(F_54(x), F_55(x))
Eq(F_55(x), -F_2(x) + F_56(x))
Eq(F_56(x), F_5(x) - F_57(x))
Eq(F_57(x), x**2*F_57(x)**3 - x*(x - 1)*F_57(x)**2 + 1)
Eq(F_58(x), F_59(x) - F_61(x))
Eq(F_59(x), F_60(x)/F_4(x))
Eq(F_60(x), F_6(x))
Eq(F_61(x), F_62(x) + F_63(x))
Eq(F_62(x), F_25(x) + F_46(x))
Eq(F_63(x), F_46(x) + F_64(x))
Eq(F_64(x), F_65(x))
Eq(F_65(x), F_4(x)*F_66(x))
Eq(F_66(x), F_67(x) + F_76(x))
Eq(F_67(x), F_68(x) + F_74(x))
Eq(F_68(x), F_46(x)*F_69(x))
Eq(F_69(x), F_70(x)/F_0(x))
Eq(F_70(x), F_59(x) - F_71(x))
Eq(F_71(x), F_52(x) + F_72(x))
Eq(F_72(x), F_58(x) - F_73(x))
Eq(F_73(x), F_2(x)*F_69(x))
Eq(F_74(x), F_75(x))
Eq(F_75(x), F_4(x)*F_46(x)*F_49(x))
Eq(F_76(x), F_77(x))
Eq(F_77(x), F_4(x)*F_62(x)*F_78(x))
Eq(F_78(x), F_79(x)/(F_4(x)*F_9(x)))
Eq(F_79(x), F_80(x))
Eq(F_80(x), F_81(x) - F_98(x))
Eq(F_81(x), F_82(x)/F_4(x))
Eq(F_82(x), F_83(x))
Eq(F_83(x), -F_38(x) + F_84(x))
Eq(F_84(x), F_59(x) - F_85(x))
Eq(F_85(x), F_62(x) + F_86(x))
Eq(F_86(x), F_87(x) + F_88(x))
Eq(F_87(x), F_2(x)*F_57(x))
Eq(F_88(x), F_89(x))
Eq(F_89(x), F_4(x)*F_90(x))
Eq(F_90(x), F_91(x) + F_94(x))
Eq(F_91(x), F_2(x)*F_92(x))
Eq(F_92(x), F_47(x) + F_93(x))
Eq(F_93(x), F_15(x)*F_62(x))
Eq(F_94(x), F_21(x)*F_95(x))
Eq(F_95(x), F_93(x) + F_96(x))
Eq(F_96(x), F_97(x))
Eq(F_97(x), F_15(x)*F_4(x)*F_78(x))
Eq(F_98(x), F_100(x) + F_99(x))
Eq(F_99(x), F_38(x)*F_69(x))
Eq(F_100(x), F_101(x))
Eq(F_101(x), F_38(x)*F_4(x)*F_49(x))
Eq(F_102(x), F_103(x)*F_16(x))
Eq(F_103(x), F_104(x)/F_2(x))
Eq(F_104(x), F_105(x) - F_107(x))
Eq(F_105(x), F_106(x)/F_4(x))
Eq(F_106(x), F_72(x))
Eq(F_107(x), F_108(x) + F_109(x))
Eq(F_108(x), F_2(x)*F_50(x))
Eq(F_109(x), F_103(x)*F_110(x))
Eq(F_110(x), F_111(x) + F_23(x))
Eq(F_111(x), F_16(x)*F_2(x))
Eq(F_112(x), F_113(x))
Eq(F_113(x), F_114(x)*F_4(x))
Eq(F_114(x), F_115(x) + F_116(x))
Eq(F_115(x), F_2(x)*F_44(x))
Eq(F_116(x), F_117(x)*F_21(x))
Eq(F_117(x), F_118(x) + F_45(x))
Eq(F_118(x), F_119(x))
Eq(F_119(x), F_103(x)*F_15(x)*F_4(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_4(x))
Eq(F_122(x), F_123(x) + F_135(x))
Eq(F_123(x), F_124(x) + F_125(x))
Eq(F_124(x), F_57(x)*F_8(x))
Eq(F_125(x), F_126(x))
Eq(F_126(x), F_127(x)*F_4(x))
Eq(F_127(x), F_128(x) + F_132(x))
Eq(F_128(x), F_129(x)*F_8(x))
Eq(F_129(x), F_130(x) + F_92(x))
Eq(F_130(x), F_131(x)*F_16(x))
Eq(F_131(x), F_118(x) + F_93(x))
Eq(F_132(x), F_133(x)*F_15(x)*F_95(x))
Eq(F_133(x), F_134(x) + F_21(x))
Eq(F_134(x), F_16(x)*F_6(x))
Eq(F_135(x), F_136(x))
Eq(F_136(x), F_4(x)*F_8(x)*F_95(x))
Pack JSON:
{"name": "point_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}]], "symmetries": [], "iterative": false}
Specification JSON:
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"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]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 0], [0, 0]]}, {"patt": [0, 1], "pos": [[0, 0], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 0], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 0]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 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": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}]], "assumptions": []}, {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1], "pos": [[0, 1], [0, 1]]}, {"patt": [0, 1], "pos": [[0, 1], [0, 2]]}, {"patt": [0, 1], "pos": [[0, 2], [0, 2]]}, {"patt": [1, 0], "pos": [[0, 1], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 1]]}, {"patt": [1, 0], "pos": [[0, 2], [0, 2]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 1]]}, {"patt": [0, 1, 2], "pos": [[0, 0], [0, 0], [0, 2]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}], [{"patt": [0], "pos": [[0, 1]]}], [{"patt": [0], "pos": [[0, 2]]}]], "assumptions": []}], "strategy": {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementInsertionStrategy", "ignore_parent": true, "gps": [{"patt": [0], "pos": [[0, 1]]}]}}}]}, {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalencePathRule", "rules": [{"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "EquivalenceRule", "original_rule": {"class_module": "comb_spec_searcher.strategies.rule", "rule_class": "Rule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [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": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 2, 1]], "symmetry": false}}, {"class_module": "tilings.strategies.verification", "rule_class": "OneByOneVerificationRule", "comb_class": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [1, 2, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 1, 3, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [2, 3, 1, 0], "pos": [[0, 0], [0, 0], [0, 0], [0, 0]]}], "requirements": [[{"patt": [0], "pos": [[0, 0]]}]], "assumptions": []}, "strategy": {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [[0, 2, 3, 4, 1], [0, 3, 2, 4, 1], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [3, 0, 2, 4, 1], [3, 0, 4, 1, 2], [3, 0, 4, 2, 1], [3, 4, 0, 1, 2], [3, 4, 0, 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": [], "pos": []}], "requirements": [], "assumptions": []}, "strategy": {"class_module": "comb_spec_searcher.strategies.strategy", "strategy_class": "EmptyStrategy"}}]}
Specification 4
Strategy pack name: point_and_col_placements_req_corrob
Tree: http://www.permpal.com/tree/25573/
System of equations in Maple syntax:
F[0,x] = F[1,x]+F[2,x]
F[1,x] = 1
F[2,x] = F[3,x]
F[3,x] = F[15,x]*F[4,x]
F[4,x] = F[0,x]+F[5,x]
F[5,x] = F[6,x]
F[6,x] = F[15,x]*F[7,x]
F[7,x] = F[257,x]+F[8,x]
F[8,x] = F[11,x]+F[9,x]
F[9,x] = F[0,x]*F[10,x]
F[10,x] = 1+x^2*F[10,x]^3+(-x^2+x)*F[10,x]^2
F[11,x] = F[12,x]+F[248,x]
F[12,x] = F[13,x]+F[14,x]+F[50,x]
F[13,x] = 0
F[14,x] = F[15,x]*F[16,x]
F[15,x] = x
F[16,x] = F[17,x]+F[18,x]
F[17,x] = F[10,x]+F[12,x]
F[18,x] = F[19,x]+F[31,x]
F[19,x] = F[15,x]+F[20,x]
F[20,x] = F[13,x]+F[21,x]+F[25,x]
F[21,x] = F[15,x]*F[22,x]
F[22,x] = F[23,x]+F[24,x]
F[23,x] = F[15,x]
F[24,x] = F[20,x]
F[25,x] = F[15,x]*F[26,x]
F[26,x] = F[27,x]
F[27,x] = F[15,x]*F[28,x]
F[28,x] = F[29,x]+F[30,x]
F[29,x] = F[1,x]+F[15,x]
F[30,x] = F[20,x]+F[26,x]
F[31,x] = F[13,x]+F[191,x]+F[32,x]+F[34,x]
F[32,x] = F[33,x]
F[33,x] = F[15,x]*F[31,x]
F[34,x] = F[15,x]*F[35,x]
F[35,x] = F[13,x]+F[36,x]+F[38,x]
F[36,x] = F[15,x]*F[37,x]
F[37,x] = F[31,x]+F[35,x]
F[38,x] = F[15,x]*F[39,x]
F[39,x] = F[40,x]+F[49,x]
F[40,x] = F[10,x]+F[41,x]
F[41,x] = F[42,x]
F[42,x] = F[10,x]*F[15,x]*F[43,x]
F[43,x] = F[44,x]+F[47,x]
F[44,x] = F[1,x]+F[45,x]+F[46,x]
F[45,x] = F[10,x]*F[15,x]
F[46,x] = F[15,x]*F[43,x]
F[47,x] = F[48,x]
F[48,x] = F[15,x]*F[43,x]*F[44,x]
F[49,x] = 1/F[15,x]*F[50,x]
F[50,x] = -F[101,x]-F[13,x]+F[51,x]
F[51,x] = -F[10,x]+F[52,x]
F[52,x] = F[0,x]+F[53,x]
F[53,x] = F[100,x]+F[13,x]+F[54,x]
F[54,x] = F[15,x]*F[55,x]
F[55,x] = F[53,x]+F[56,x]
F[56,x] = F[13,x]+F[57,x]+F[59,x]+F[60,x]
F[57,x] = F[58,x]
F[58,x] = F[15,x]*F[55,x]
F[59,x] = 0
F[60,x] = F[15,x]*F[61,x]
F[61,x] = 2*F[13,x]+F[62,x]+F[91,x]+F[98,x]
F[62,x] = F[15,x]*F[63,x]
F[63,x] = F[64,x]+F[86,x]
F[64,x] = F[65,x]+F[85,x]
F[65,x] = F[52,x]+F[66,x]
F[66,x] = F[67,x]
F[67,x] = F[15,x]*F[68,x]
F[68,x] = -F[81,x]+F[69,x]
F[69,x] = 1/F[15,x]*F[70,x]
F[70,x] = F[71,x]
F[71,x] = -F[52,x]+F[72,x]
F[72,x] = 1/F[15,x]*F[73,x]
F[73,x] = -F[1,x]-F[76,x]+F[74,x]
F[74,x] = 1/F[15,x]*F[75,x]
F[75,x] = F[2,x]
F[76,x] = F[15,x]*F[77,x]
F[77,x] = F[52,x]+F[78,x]
F[78,x] = F[56,x]+F[79,x]
F[79,x] = F[13,x]+F[73,x]+F[80,x]
F[80,x] = F[15,x]*F[78,x]
F[81,x] = F[82,x]+F[83,x]
F[82,x] = F[71,x]
F[83,x] = F[84,x]
F[84,x] = F[15,x]*F[81,x]
F[85,x] = F[61,x]
F[86,x] = F[87,x]
F[87,x] = F[79,x]*F[88,x]
F[88,x] = F[1,x]+F[89,x]
F[89,x] = F[90,x]
F[90,x] = F[15,x]*F[88,x]
F[91,x] = F[92,x]
F[92,x] = F[15,x]*F[93,x]
F[93,x] = 3*F[13,x]+F[92,x]+F[94,x]
F[94,x] = F[15,x]*F[95,x]
F[95,x] = F[96,x]+F[97,x]
F[96,x] = F[65,x]+F[93,x]
F[97,x] = F[87,x]
F[98,x] = F[99,x]
F[99,x] = F[15,x]*F[85,x]
F[100,x] = F[15,x]*F[72,x]
F[101,x] = F[102,x]*F[15,x]
F[102,x] = F[103,x]+F[52,x]
F[103,x] = F[104,x]
F[104,x] = F[105,x]*F[15,x]
F[105,x] = F[106,x]+F[233,x]+F[246,x]
F[106,x] = F[107,x]+F[216,x]
F[107,x] = F[1,x]+F[108,x]+F[111,x]+F[112,x]
F[108,x] = F[109,x]*F[15,x]
F[109,x] = F[107,x]+F[110,x]
F[110,x] = F[18,x]
F[111,x] = F[15,x]*F[17,x]
F[112,x] = F[113,x]*F[15,x]
F[113,x] = F[114,x]+F[43,x]
F[114,x] = 1/F[10,x]*F[115,x]
F[115,x] = -F[119,x]+F[116,x]
F[116,x] = 1/F[15,x]*F[117,x]
F[117,x] = F[118,x]
F[118,x] = -F[12,x]+F[49,x]
F[119,x] = F[120,x]+F[13,x]+F[213,x]
F[120,x] = F[121,x]
F[121,x] = F[122,x]*F[15,x]
F[122,x] = F[123,x]+F[186,x]
F[123,x] = F[113,x]*F[124,x]
F[124,x] = F[1,x]+F[125,x]+F[126,x]+F[127,x]
F[125,x] = F[124,x]*F[15,x]
F[126,x] = F[124,x]*F[15,x]
F[127,x] = F[128,x]*F[15,x]
F[128,x] = F[129,x]+F[131,x]
F[129,x] = 1/F[15,x]*F[130,x]
F[130,x] = -F[1,x]-F[126,x]+F[17,x]
F[131,x] = F[132,x]
F[132,x] = F[133,x]*F[15,x]*F[164,x]
F[133,x] = F[134,x]+F[17,x]
F[134,x] = F[135,x]
F[135,x] = F[136,x]*F[15,x]
F[136,x] = -F[160,x]+F[137,x]
F[137,x] = 1/F[15,x]*F[138,x]
F[138,x] = F[139,x]
F[139,x] = F[140,x]+F[144,x]
F[140,x] = -F[10,x]+F[141,x]
F[141,x] = 1/F[15,x]*F[142,x]
F[142,x] = F[143,x]
F[143,x] = x*(1+F[143,x])^2*(x*F[143,x]+1)
F[144,x] = F[145,x]
F[145,x] = -F[156,x]+F[146,x]
F[146,x] = -F[157,x]+F[147,x]
F[147,x] = F[129,x]+F[148,x]
F[148,x] = F[149,x]
F[149,x] = F[150,x]+F[152,x]
F[150,x] = F[151,x]
F[151,x] = F[10,x]*F[89,x]
F[152,x] = 2*F[13,x]+F[153,x]+F[155,x]
F[153,x] = F[154,x]
F[154,x] = F[149,x]*F[15,x]
F[155,x] = F[15,x]*F[156,x]
F[156,x] = F[12,x]+F[152,x]
F[157,x] = F[158,x]
F[158,x] = F[140,x]+F[159,x]
F[159,x] = F[10,x]*F[88,x]
F[160,x] = F[161,x]+F[162,x]
F[161,x] = F[139,x]
F[162,x] = F[163,x]
F[163,x] = F[15,x]*F[160,x]
F[164,x] = F[165,x]+F[170,x]
F[165,x] = F[166,x]+F[88,x]
F[166,x] = F[15,x]+F[167,x]
F[167,x] = F[13,x]+F[168,x]+F[169,x]
F[168,x] = F[15,x]*F[89,x]
F[169,x] = F[15,x]*F[166,x]
F[170,x] = F[171,x]+F[176,x]
F[171,x] = F[172,x]+F[89,x]
F[172,x] = F[13,x]+F[173,x]+F[175,x]
F[173,x] = F[15,x]*F[174,x]
F[174,x] = F[172,x]+F[89,x]
F[175,x] = F[15,x]*F[171,x]
F[176,x] = F[177,x]+F[181,x]
F[177,x] = F[13,x]+F[178,x]+F[180,x]
F[178,x] = F[15,x]*F[179,x]
F[179,x] = F[15,x]+F[177,x]
F[180,x] = F[15,x]*F[89,x]
F[181,x] = F[13,x]+F[182,x]+F[184,x]+F[185,x]
F[182,x] = F[15,x]*F[183,x]
F[183,x] = F[167,x]+F[181,x]
F[184,x] = F[15,x]*F[172,x]
F[185,x] = F[15,x]*F[176,x]
F[186,x] = F[187,x]
F[187,x] = F[15,x]*F[17,x]*F[188,x]*F[88,x]
F[188,x] = 1/F[15,x]*F[189,x]
F[189,x] = F[190,x]
F[190,x] = 1/F[15,x]*F[191,x]
F[191,x] = -F[13,x]-F[193,x]-F[197,x]+F[192,x]
F[192,x] = -F[52,x]+F[102,x]
F[193,x] = F[15,x]*F[194,x]
F[194,x] = -F[102,x]+F[195,x]
F[195,x] = 1/F[15,x]*F[196,x]
F[196,x] = -F[1,x]-F[197,x]-F[212,x]+F[102,x]
F[197,x] = F[15,x]*F[198,x]
F[198,x] = F[199,x]+F[39,x]
F[199,x] = F[200,x]
F[200,x] = F[15,x]*F[201,x]
F[201,x] = F[202,x]+F[210,x]
F[202,x] = F[203,x]+F[204,x]
F[203,x] = F[39,x]*F[40,x]
F[204,x] = F[205,x]
F[205,x] = F[15,x]*F[206,x]*F[39,x]
F[206,x] = F[207,x]+F[209,x]
F[207,x] = 1/F[15,x]*F[208,x]
F[208,x] = F[49,x]
F[209,x] = F[188,x]*F[89,x]
F[210,x] = F[211,x]
F[211,x] = F[15,x]*F[188,x]*F[39,x]
F[212,x] = F[106,x]*F[15,x]
F[213,x] = F[214,x]
F[214,x] = F[113,x]*F[15,x]*F[215,x]
F[215,x] = F[12,x]+F[144,x]
F[216,x] = F[217,x]
F[217,x] = F[218,x]+F[37,x]
F[218,x] = F[219,x]
F[219,x] = F[15,x]*F[220,x]
F[220,x] = F[221,x]+F[228,x]
F[221,x] = 1/F[15,x]*F[222,x]
F[222,x] = -F[13,x]-F[227,x]+F[223,x]
F[223,x] = F[224,x]+F[225,x]
F[224,x] = F[35,x]*F[40,x]
F[225,x] = F[226,x]
F[226,x] = F[15,x]*F[206,x]*F[35,x]
F[227,x] = F[15,x]*F[202,x]
F[228,x] = F[229,x]
F[229,x] = F[15,x]*F[16,x]*F[230,x]
F[230,x] = 1/F[15,x]*F[231,x]
F[231,x] = F[232,x]
F[232,x] = -F[39,x]+F[113,x]
F[233,x] = F[234,x]
F[234,x] = F[15,x]*F[235,x]
F[235,x] = F[236,x]+F[237,x]
F[236,x] = F[106,x]*F[77,x]
F[237,x] = F[238,x]
F[238,x] = F[15,x]*F[188,x]*F[239,x]
F[239,x] = F[240,x]+F[245,x]
F[240,x] = F[241,x]+F[87,x]
F[241,x] = F[242,x]+F[243,x]
F[242,x] = F[0,x]*F[88,x]
F[243,x] = F[244,x]*F[88,x]
F[244,x] = -F[88,x]+F[0,x]
F[245,x] = F[53,x]*F[88,x]
F[246,x] = F[247,x]
F[247,x] = F[106,x]*F[15,x]*F[72,x]
F[248,x] = F[249,x]
F[249,x] = F[15,x]*F[250,x]
F[250,x] = F[251,x]+F[252,x]
F[251,x] = F[12,x]*F[74,x]
F[252,x] = F[253,x]
F[253,x] = F[15,x]*F[240,x]*F[254,x]
F[254,x] = F[17,x]+F[255,x]+F[256,x]
F[255,x] = F[15,x]*F[254,x]
F[256,x] = F[15,x]*F[230,x]
F[257,x] = F[13,x]+F[258,x]+F[263,x]
F[258,x] = F[15,x]*F[259,x]
F[259,x] = F[260,x]
F[260,x] = F[107,x]*F[15,x]*F[261,x]
F[261,x] = 1/F[15,x]*F[262,x]
F[262,x] = F[71,x]
F[263,x] = F[264,x]
F[264,x] = F[15,x]*F[265,x]
F[265,x] = F[266,x]+F[272,x]
F[266,x] = F[267,x]+F[268,x]
F[267,x] = F[17,x]*F[74,x]
F[268,x] = F[269,x]
F[269,x] = F[107,x]*F[15,x]*F[270,x]
F[270,x] = 1/F[15,x]*F[271,x]
F[271,x] = F[55,x]
F[272,x] = F[273,x]+F[291,x]
F[273,x] = F[18,x]+F[274,x]+F[282,x]
F[274,x] = F[275,x]
F[275,x] = F[15,x]*F[276,x]
F[276,x] = F[272,x]+F[277,x]
F[277,x] = F[278,x]
F[278,x] = F[15,x]*F[279,x]*F[77,x]
F[279,x] = F[17,x]+F[280,x]+F[281,x]
F[280,x] = F[15,x]*F[279,x]
F[281,x] = F[15,x]*F[188,x]
F[282,x] = F[283,x]
F[283,x] = F[15,x]*F[284,x]
F[284,x] = F[285,x]
F[285,x] = F[15,x]*F[286,x]
F[286,x] = F[287,x]+F[288,x]
F[287,x] = F[279,x]*F[72,x]
F[288,x] = F[254,x]*F[289,x]
F[289,x] = F[290,x]
F[290,x] = F[15,x]*F[239,x]
F[291,x] = F[292,x]
F[292,x] = F[15,x]*F[279,x]*F[79,x]*F[88,x]
System of equations in latex syntax:
F_{0}\! \left(x \right) = F_{1}\! \left(x \right)+F_{2}\! \left(x \right)
F_{1}\! \left(x \right) = 1
F_{2}\! \left(x \right) = F_{3}\! \left(x \right)
F_{3}\! \left(x \right) = F_{15}\! \left(x \right) F_{4}\! \left(x \right)
F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)
F_{5}\! \left(x \right) = F_{6}\! \left(x \right)
F_{6}\! \left(x \right) = F_{15}\! \left(x \right) F_{7}\! \left(x \right)
F_{7}\! \left(x \right) = F_{257}\! \left(x \right)+F_{8}\! \left(x \right)
F_{8}\! \left(x \right) = F_{11}\! \left(x \right)+F_{9}\! \left(x \right)
F_{9}\! \left(x \right) = F_{0}\! \left(x \right) F_{10}\! \left(x \right)
F_{10}\! \left(x \right) = x^{2} F_{10} \left(x \right)^{3}-x^{2} F_{10} \left(x \right)^{2}+x F_{10} \left(x \right)^{2}+1
F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{248}\! \left(x \right)
F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)+F_{50}\! \left(x \right)
F_{13}\! \left(x \right) = 0
F_{14}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right)
F_{15}\! \left(x \right) = x
F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{18}\! \left(x \right)
F_{17}\! \left(x \right) = F_{10}\! \left(x \right)+F_{12}\! \left(x \right)
F_{18}\! \left(x \right) = F_{19}\! \left(x \right)+F_{31}\! \left(x \right)
F_{19}\! \left(x \right) = F_{15}\! \left(x \right)+F_{20}\! \left(x \right)
F_{20}\! \left(x \right) = F_{13}\! \left(x \right)+F_{21}\! \left(x \right)+F_{25}\! \left(x \right)
F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{22}\! \left(x \right)
F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{24}\! \left(x \right)
F_{23}\! \left(x \right) = F_{15}\! \left(x \right)
F_{24}\! \left(x \right) = F_{20}\! \left(x \right)
F_{25}\! \left(x \right) = F_{15}\! \left(x \right) F_{26}\! \left(x \right)
F_{26}\! \left(x \right) = F_{27}\! \left(x \right)
F_{27}\! \left(x \right) = F_{15}\! \left(x \right) F_{28}\! \left(x \right)
F_{28}\! \left(x \right) = F_{29}\! \left(x \right)+F_{30}\! \left(x \right)
F_{29}\! \left(x \right) = F_{1}\! \left(x \right)+F_{15}\! \left(x \right)
F_{30}\! \left(x \right) = F_{20}\! \left(x \right)+F_{26}\! \left(x \right)
F_{31}\! \left(x \right) = F_{13}\! \left(x \right)+F_{191}\! \left(x \right)+F_{32}\! \left(x \right)+F_{34}\! \left(x \right)
F_{32}\! \left(x \right) = F_{33}\! \left(x \right)
F_{33}\! \left(x \right) = F_{15}\! \left(x \right) F_{31}\! \left(x \right)
F_{34}\! \left(x \right) = F_{15}\! \left(x \right) F_{35}\! \left(x \right)
F_{35}\! \left(x \right) = F_{13}\! \left(x \right)+F_{36}\! \left(x \right)+F_{38}\! \left(x \right)
F_{36}\! \left(x \right) = F_{15}\! \left(x \right) F_{37}\! \left(x \right)
F_{37}\! \left(x \right) = F_{31}\! \left(x \right)+F_{35}\! \left(x \right)
F_{38}\! \left(x \right) = F_{15}\! \left(x \right) F_{39}\! \left(x \right)
F_{39}\! \left(x \right) = F_{40}\! \left(x \right)+F_{49}\! \left(x \right)
F_{40}\! \left(x \right) = F_{10}\! \left(x \right)+F_{41}\! \left(x \right)
F_{41}\! \left(x \right) = F_{42}\! \left(x \right)
F_{42}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right) F_{43}\! \left(x \right)
F_{43}\! \left(x \right) = F_{44}\! \left(x \right)+F_{47}\! \left(x \right)
F_{44}\! \left(x \right) = F_{1}\! \left(x \right)+F_{45}\! \left(x \right)+F_{46}\! \left(x \right)
F_{45}\! \left(x \right) = F_{10}\! \left(x \right) F_{15}\! \left(x \right)
F_{46}\! \left(x \right) = F_{15}\! \left(x \right) F_{43}\! \left(x \right)
F_{47}\! \left(x \right) = F_{48}\! \left(x \right)
F_{48}\! \left(x \right) = F_{15}\! \left(x \right) F_{43}\! \left(x \right) F_{44}\! \left(x \right)
F_{49}\! \left(x \right) = \frac{F_{50}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{50}\! \left(x \right) = -F_{101}\! \left(x \right)-F_{13}\! \left(x \right)+F_{51}\! \left(x \right)
F_{51}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{52}\! \left(x \right)
F_{52}\! \left(x \right) = F_{0}\! \left(x \right)+F_{53}\! \left(x \right)
F_{53}\! \left(x \right) = F_{100}\! \left(x \right)+F_{13}\! \left(x \right)+F_{54}\! \left(x \right)
F_{54}\! \left(x \right) = F_{15}\! \left(x \right) F_{55}\! \left(x \right)
F_{55}\! \left(x \right) = F_{53}\! \left(x \right)+F_{56}\! \left(x \right)
F_{56}\! \left(x \right) = F_{13}\! \left(x \right)+F_{57}\! \left(x \right)+F_{59}\! \left(x \right)+F_{60}\! \left(x \right)
F_{57}\! \left(x \right) = F_{58}\! \left(x \right)
F_{58}\! \left(x \right) = F_{15}\! \left(x \right) F_{55}\! \left(x \right)
F_{59}\! \left(x \right) = 0
F_{60}\! \left(x \right) = F_{15}\! \left(x \right) F_{61}\! \left(x \right)
F_{61}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{62}\! \left(x \right)+F_{91}\! \left(x \right)+F_{98}\! \left(x \right)
F_{62}\! \left(x \right) = F_{15}\! \left(x \right) F_{63}\! \left(x \right)
F_{63}\! \left(x \right) = F_{64}\! \left(x \right)+F_{86}\! \left(x \right)
F_{64}\! \left(x \right) = F_{65}\! \left(x \right)+F_{85}\! \left(x \right)
F_{65}\! \left(x \right) = F_{52}\! \left(x \right)+F_{66}\! \left(x \right)
F_{66}\! \left(x \right) = F_{67}\! \left(x \right)
F_{67}\! \left(x \right) = F_{15}\! \left(x \right) F_{68}\! \left(x \right)
F_{68}\! \left(x \right) = -F_{81}\! \left(x \right)+F_{69}\! \left(x \right)
F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{70}\! \left(x \right) = F_{71}\! \left(x \right)
F_{71}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{72}\! \left(x \right)
F_{72}\! \left(x \right) = \frac{F_{73}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{73}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{76}\! \left(x \right)+F_{74}\! \left(x \right)
F_{74}\! \left(x \right) = \frac{F_{75}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{75}\! \left(x \right) = F_{2}\! \left(x \right)
F_{76}\! \left(x \right) = F_{15}\! \left(x \right) F_{77}\! \left(x \right)
F_{77}\! \left(x \right) = F_{52}\! \left(x \right)+F_{78}\! \left(x \right)
F_{78}\! \left(x \right) = F_{56}\! \left(x \right)+F_{79}\! \left(x \right)
F_{79}\! \left(x \right) = F_{13}\! \left(x \right)+F_{73}\! \left(x \right)+F_{80}\! \left(x \right)
F_{80}\! \left(x \right) = F_{15}\! \left(x \right) F_{78}\! \left(x \right)
F_{81}\! \left(x \right) = F_{82}\! \left(x \right)+F_{83}\! \left(x \right)
F_{82}\! \left(x \right) = F_{71}\! \left(x \right)
F_{83}\! \left(x \right) = F_{84}\! \left(x \right)
F_{84}\! \left(x \right) = F_{15}\! \left(x \right) F_{81}\! \left(x \right)
F_{85}\! \left(x \right) = F_{61}\! \left(x \right)
F_{86}\! \left(x \right) = F_{87}\! \left(x \right)
F_{87}\! \left(x \right) = F_{79}\! \left(x \right) F_{88}\! \left(x \right)
F_{88}\! \left(x \right) = F_{1}\! \left(x \right)+F_{89}\! \left(x \right)
F_{89}\! \left(x \right) = F_{90}\! \left(x \right)
F_{90}\! \left(x \right) = F_{15}\! \left(x \right) F_{88}\! \left(x \right)
F_{91}\! \left(x \right) = F_{92}\! \left(x \right)
F_{92}\! \left(x \right) = F_{15}\! \left(x \right) F_{93}\! \left(x \right)
F_{93}\! \left(x \right) = 3 F_{13}\! \left(x \right)+F_{92}\! \left(x \right)+F_{94}\! \left(x \right)
F_{94}\! \left(x \right) = F_{15}\! \left(x \right) F_{95}\! \left(x \right)
F_{95}\! \left(x \right) = F_{96}\! \left(x \right)+F_{97}\! \left(x \right)
F_{96}\! \left(x \right) = F_{65}\! \left(x \right)+F_{93}\! \left(x \right)
F_{97}\! \left(x \right) = F_{87}\! \left(x \right)
F_{98}\! \left(x \right) = F_{99}\! \left(x \right)
F_{99}\! \left(x \right) = F_{15}\! \left(x \right) F_{85}\! \left(x \right)
F_{100}\! \left(x \right) = F_{15}\! \left(x \right) F_{72}\! \left(x \right)
F_{101}\! \left(x \right) = F_{102}\! \left(x \right) F_{15}\! \left(x \right)
F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{52}\! \left(x \right)
F_{103}\! \left(x \right) = F_{104}\! \left(x \right)
F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{15}\! \left(x \right)
F_{105}\! \left(x \right) = F_{106}\! \left(x \right)+F_{233}\! \left(x \right)+F_{246}\! \left(x \right)
F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{216}\! \left(x \right)
F_{107}\! \left(x \right) = F_{1}\! \left(x \right)+F_{108}\! \left(x \right)+F_{111}\! \left(x \right)+F_{112}\! \left(x \right)
F_{108}\! \left(x \right) = F_{109}\! \left(x \right) F_{15}\! \left(x \right)
F_{109}\! \left(x \right) = F_{107}\! \left(x \right)+F_{110}\! \left(x \right)
F_{110}\! \left(x \right) = F_{18}\! \left(x \right)
F_{111}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right)
F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{15}\! \left(x \right)
F_{113}\! \left(x \right) = F_{114}\! \left(x \right)+F_{43}\! \left(x \right)
F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{10}\! \left(x \right)}
F_{115}\! \left(x \right) = -F_{119}\! \left(x \right)+F_{116}\! \left(x \right)
F_{116}\! \left(x \right) = \frac{F_{117}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{117}\! \left(x \right) = F_{118}\! \left(x \right)
F_{118}\! \left(x \right) = -F_{12}\! \left(x \right)+F_{49}\! \left(x \right)
F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{13}\! \left(x \right)+F_{213}\! \left(x \right)
F_{120}\! \left(x \right) = F_{121}\! \left(x \right)
F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{15}\! \left(x \right)
F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{186}\! \left(x \right)
F_{123}\! \left(x \right) = F_{113}\! \left(x \right) F_{124}\! \left(x \right)
F_{124}\! \left(x \right) = F_{1}\! \left(x \right)+F_{125}\! \left(x \right)+F_{126}\! \left(x \right)+F_{127}\! \left(x \right)
F_{125}\! \left(x \right) = F_{124}\! \left(x \right) F_{15}\! \left(x \right)
F_{126}\! \left(x \right) = F_{124}\! \left(x \right) F_{15}\! \left(x \right)
F_{127}\! \left(x \right) = F_{128}\! \left(x \right) F_{15}\! \left(x \right)
F_{128}\! \left(x \right) = F_{129}\! \left(x \right)+F_{131}\! \left(x \right)
F_{129}\! \left(x \right) = \frac{F_{130}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{130}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{126}\! \left(x \right)+F_{17}\! \left(x \right)
F_{131}\! \left(x \right) = F_{132}\! \left(x \right)
F_{132}\! \left(x \right) = F_{133}\! \left(x \right) F_{15}\! \left(x \right) F_{164}\! \left(x \right)
F_{133}\! \left(x \right) = F_{134}\! \left(x \right)+F_{17}\! \left(x \right)
F_{134}\! \left(x \right) = F_{135}\! \left(x \right)
F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{15}\! \left(x \right)
F_{136}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{137}\! \left(x \right)
F_{137}\! \left(x \right) = \frac{F_{138}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{138}\! \left(x \right) = F_{139}\! \left(x \right)
F_{139}\! \left(x \right) = F_{140}\! \left(x \right)+F_{144}\! \left(x \right)
F_{140}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{141}\! \left(x \right)
F_{141}\! \left(x \right) = \frac{F_{142}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{142}\! \left(x \right) = F_{143}\! \left(x \right)
F_{143}\! \left(x \right) = x^{2} F_{143} \left(x \right)^{3}+2 x^{2} F_{143} \left(x \right)^{2}+x^{2} F_{143}\! \left(x \right)+x F_{143} \left(x \right)^{2}+2 x F_{143}\! \left(x \right)+x
F_{144}\! \left(x \right) = F_{145}\! \left(x \right)
F_{145}\! \left(x \right) = -F_{156}\! \left(x \right)+F_{146}\! \left(x \right)
F_{146}\! \left(x \right) = -F_{157}\! \left(x \right)+F_{147}\! \left(x \right)
F_{147}\! \left(x \right) = F_{129}\! \left(x \right)+F_{148}\! \left(x \right)
F_{148}\! \left(x \right) = F_{149}\! \left(x \right)
F_{149}\! \left(x \right) = F_{150}\! \left(x \right)+F_{152}\! \left(x \right)
F_{150}\! \left(x \right) = F_{151}\! \left(x \right)
F_{151}\! \left(x \right) = F_{10}\! \left(x \right) F_{89}\! \left(x \right)
F_{152}\! \left(x \right) = 2 F_{13}\! \left(x \right)+F_{153}\! \left(x \right)+F_{155}\! \left(x \right)
F_{153}\! \left(x \right) = F_{154}\! \left(x \right)
F_{154}\! \left(x \right) = F_{149}\! \left(x \right) F_{15}\! \left(x \right)
F_{155}\! \left(x \right) = F_{15}\! \left(x \right) F_{156}\! \left(x \right)
F_{156}\! \left(x \right) = F_{12}\! \left(x \right)+F_{152}\! \left(x \right)
F_{157}\! \left(x \right) = F_{158}\! \left(x \right)
F_{158}\! \left(x \right) = F_{140}\! \left(x \right)+F_{159}\! \left(x \right)
F_{159}\! \left(x \right) = F_{10}\! \left(x \right) F_{88}\! \left(x \right)
F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{162}\! \left(x \right)
F_{161}\! \left(x \right) = F_{139}\! \left(x \right)
F_{162}\! \left(x \right) = F_{163}\! \left(x \right)
F_{163}\! \left(x \right) = F_{15}\! \left(x \right) F_{160}\! \left(x \right)
F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{170}\! \left(x \right)
F_{165}\! \left(x \right) = F_{166}\! \left(x \right)+F_{88}\! \left(x \right)
F_{166}\! \left(x \right) = F_{15}\! \left(x \right)+F_{167}\! \left(x \right)
F_{167}\! \left(x \right) = F_{13}\! \left(x \right)+F_{168}\! \left(x \right)+F_{169}\! \left(x \right)
F_{168}\! \left(x \right) = F_{15}\! \left(x \right) F_{89}\! \left(x \right)
F_{169}\! \left(x \right) = F_{15}\! \left(x \right) F_{166}\! \left(x \right)
F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{176}\! \left(x \right)
F_{171}\! \left(x \right) = F_{172}\! \left(x \right)+F_{89}\! \left(x \right)
F_{172}\! \left(x \right) = F_{13}\! \left(x \right)+F_{173}\! \left(x \right)+F_{175}\! \left(x \right)
F_{173}\! \left(x \right) = F_{15}\! \left(x \right) F_{174}\! \left(x \right)
F_{174}\! \left(x \right) = F_{172}\! \left(x \right)+F_{89}\! \left(x \right)
F_{175}\! \left(x \right) = F_{15}\! \left(x \right) F_{171}\! \left(x \right)
F_{176}\! \left(x \right) = F_{177}\! \left(x \right)+F_{181}\! \left(x \right)
F_{177}\! \left(x \right) = F_{13}\! \left(x \right)+F_{178}\! \left(x \right)+F_{180}\! \left(x \right)
F_{178}\! \left(x \right) = F_{15}\! \left(x \right) F_{179}\! \left(x \right)
F_{179}\! \left(x \right) = F_{15}\! \left(x \right)+F_{177}\! \left(x \right)
F_{180}\! \left(x \right) = F_{15}\! \left(x \right) F_{89}\! \left(x \right)
F_{181}\! \left(x \right) = F_{13}\! \left(x \right)+F_{182}\! \left(x \right)+F_{184}\! \left(x \right)+F_{185}\! \left(x \right)
F_{182}\! \left(x \right) = F_{15}\! \left(x \right) F_{183}\! \left(x \right)
F_{183}\! \left(x \right) = F_{167}\! \left(x \right)+F_{181}\! \left(x \right)
F_{184}\! \left(x \right) = F_{15}\! \left(x \right) F_{172}\! \left(x \right)
F_{185}\! \left(x \right) = F_{15}\! \left(x \right) F_{176}\! \left(x \right)
F_{186}\! \left(x \right) = F_{187}\! \left(x \right)
F_{187}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right) F_{188}\! \left(x \right) F_{88}\! \left(x \right)
F_{188}\! \left(x \right) = \frac{F_{189}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{189}\! \left(x \right) = F_{190}\! \left(x \right)
F_{190}\! \left(x \right) = \frac{F_{191}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{191}\! \left(x \right) = -F_{13}\! \left(x \right)-F_{193}\! \left(x \right)-F_{197}\! \left(x \right)+F_{192}\! \left(x \right)
F_{192}\! \left(x \right) = -F_{52}\! \left(x \right)+F_{102}\! \left(x \right)
F_{193}\! \left(x \right) = F_{15}\! \left(x \right) F_{194}\! \left(x \right)
F_{194}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{195}\! \left(x \right)
F_{195}\! \left(x \right) = \frac{F_{196}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{196}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{197}\! \left(x \right)-F_{212}\! \left(x \right)+F_{102}\! \left(x \right)
F_{197}\! \left(x \right) = F_{15}\! \left(x \right) F_{198}\! \left(x \right)
F_{198}\! \left(x \right) = F_{199}\! \left(x \right)+F_{39}\! \left(x \right)
F_{199}\! \left(x \right) = F_{200}\! \left(x \right)
F_{200}\! \left(x \right) = F_{15}\! \left(x \right) F_{201}\! \left(x \right)
F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{210}\! \left(x \right)
F_{202}\! \left(x \right) = F_{203}\! \left(x \right)+F_{204}\! \left(x \right)
F_{203}\! \left(x \right) = F_{39}\! \left(x \right) F_{40}\! \left(x \right)
F_{204}\! \left(x \right) = F_{205}\! \left(x \right)
F_{205}\! \left(x \right) = F_{15}\! \left(x \right) F_{206}\! \left(x \right) F_{39}\! \left(x \right)
F_{206}\! \left(x \right) = F_{207}\! \left(x \right)+F_{209}\! \left(x \right)
F_{207}\! \left(x \right) = \frac{F_{208}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{208}\! \left(x \right) = F_{49}\! \left(x \right)
F_{209}\! \left(x \right) = F_{188}\! \left(x \right) F_{89}\! \left(x \right)
F_{210}\! \left(x \right) = F_{211}\! \left(x \right)
F_{211}\! \left(x \right) = F_{15}\! \left(x \right) F_{188}\! \left(x \right) F_{39}\! \left(x \right)
F_{212}\! \left(x \right) = F_{106}\! \left(x \right) F_{15}\! \left(x \right)
F_{213}\! \left(x \right) = F_{214}\! \left(x \right)
F_{214}\! \left(x \right) = F_{113}\! \left(x \right) F_{15}\! \left(x \right) F_{215}\! \left(x \right)
F_{215}\! \left(x \right) = F_{12}\! \left(x \right)+F_{144}\! \left(x \right)
F_{216}\! \left(x \right) = F_{217}\! \left(x \right)
F_{217}\! \left(x \right) = F_{218}\! \left(x \right)+F_{37}\! \left(x \right)
F_{218}\! \left(x \right) = F_{219}\! \left(x \right)
F_{219}\! \left(x \right) = F_{15}\! \left(x \right) F_{220}\! \left(x \right)
F_{220}\! \left(x \right) = F_{221}\! \left(x \right)+F_{228}\! \left(x \right)
F_{221}\! \left(x \right) = \frac{F_{222}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{222}\! \left(x \right) = -F_{13}\! \left(x \right)-F_{227}\! \left(x \right)+F_{223}\! \left(x \right)
F_{223}\! \left(x \right) = F_{224}\! \left(x \right)+F_{225}\! \left(x \right)
F_{224}\! \left(x \right) = F_{35}\! \left(x \right) F_{40}\! \left(x \right)
F_{225}\! \left(x \right) = F_{226}\! \left(x \right)
F_{226}\! \left(x \right) = F_{15}\! \left(x \right) F_{206}\! \left(x \right) F_{35}\! \left(x \right)
F_{227}\! \left(x \right) = F_{15}\! \left(x \right) F_{202}\! \left(x \right)
F_{228}\! \left(x \right) = F_{229}\! \left(x \right)
F_{229}\! \left(x \right) = F_{15}\! \left(x \right) F_{16}\! \left(x \right) F_{230}\! \left(x \right)
F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{231}\! \left(x \right) = F_{232}\! \left(x \right)
F_{232}\! \left(x \right) = -F_{39}\! \left(x \right)+F_{113}\! \left(x \right)
F_{233}\! \left(x \right) = F_{234}\! \left(x \right)
F_{234}\! \left(x \right) = F_{15}\! \left(x \right) F_{235}\! \left(x \right)
F_{235}\! \left(x \right) = F_{236}\! \left(x \right)+F_{237}\! \left(x \right)
F_{236}\! \left(x \right) = F_{106}\! \left(x \right) F_{77}\! \left(x \right)
F_{237}\! \left(x \right) = F_{238}\! \left(x \right)
F_{238}\! \left(x \right) = F_{15}\! \left(x \right) F_{188}\! \left(x \right) F_{239}\! \left(x \right)
F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{245}\! \left(x \right)
F_{240}\! \left(x \right) = F_{241}\! \left(x \right)+F_{87}\! \left(x \right)
F_{241}\! \left(x \right) = F_{242}\! \left(x \right)+F_{243}\! \left(x \right)
F_{242}\! \left(x \right) = F_{0}\! \left(x \right) F_{88}\! \left(x \right)
F_{243}\! \left(x \right) = F_{244}\! \left(x \right) F_{88}\! \left(x \right)
F_{244}\! \left(x \right) = -F_{88}\! \left(x \right)+F_{0}\! \left(x \right)
F_{245}\! \left(x \right) = F_{53}\! \left(x \right) F_{88}\! \left(x \right)
F_{246}\! \left(x \right) = F_{247}\! \left(x \right)
F_{247}\! \left(x \right) = F_{106}\! \left(x \right) F_{15}\! \left(x \right) F_{72}\! \left(x \right)
F_{248}\! \left(x \right) = F_{249}\! \left(x \right)
F_{249}\! \left(x \right) = F_{15}\! \left(x \right) F_{250}\! \left(x \right)
F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{252}\! \left(x \right)
F_{251}\! \left(x \right) = F_{12}\! \left(x \right) F_{74}\! \left(x \right)
F_{252}\! \left(x \right) = F_{253}\! \left(x \right)
F_{253}\! \left(x \right) = F_{15}\! \left(x \right) F_{240}\! \left(x \right) F_{254}\! \left(x \right)
F_{254}\! \left(x \right) = F_{17}\! \left(x \right)+F_{255}\! \left(x \right)+F_{256}\! \left(x \right)
F_{255}\! \left(x \right) = F_{15}\! \left(x \right) F_{254}\! \left(x \right)
F_{256}\! \left(x \right) = F_{15}\! \left(x \right) F_{230}\! \left(x \right)
F_{257}\! \left(x \right) = F_{13}\! \left(x \right)+F_{258}\! \left(x \right)+F_{263}\! \left(x \right)
F_{258}\! \left(x \right) = F_{15}\! \left(x \right) F_{259}\! \left(x \right)
F_{259}\! \left(x \right) = F_{260}\! \left(x \right)
F_{260}\! \left(x \right) = F_{107}\! \left(x \right) F_{15}\! \left(x \right) F_{261}\! \left(x \right)
F_{261}\! \left(x \right) = \frac{F_{262}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{262}\! \left(x \right) = F_{71}\! \left(x \right)
F_{263}\! \left(x \right) = F_{264}\! \left(x \right)
F_{264}\! \left(x \right) = F_{15}\! \left(x \right) F_{265}\! \left(x \right)
F_{265}\! \left(x \right) = F_{266}\! \left(x \right)+F_{272}\! \left(x \right)
F_{266}\! \left(x \right) = F_{267}\! \left(x \right)+F_{268}\! \left(x \right)
F_{267}\! \left(x \right) = F_{17}\! \left(x \right) F_{74}\! \left(x \right)
F_{268}\! \left(x \right) = F_{269}\! \left(x \right)
F_{269}\! \left(x \right) = F_{107}\! \left(x \right) F_{15}\! \left(x \right) F_{270}\! \left(x \right)
F_{270}\! \left(x \right) = \frac{F_{271}\! \left(x \right)}{F_{15}\! \left(x \right)}
F_{271}\! \left(x \right) = F_{55}\! \left(x \right)
F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{291}\! \left(x \right)
F_{273}\! \left(x \right) = F_{18}\! \left(x \right)+F_{274}\! \left(x \right)+F_{282}\! \left(x \right)
F_{274}\! \left(x \right) = F_{275}\! \left(x \right)
F_{275}\! \left(x \right) = F_{15}\! \left(x \right) F_{276}\! \left(x \right)
F_{276}\! \left(x \right) = F_{272}\! \left(x \right)+F_{277}\! \left(x \right)
F_{277}\! \left(x \right) = F_{278}\! \left(x \right)
F_{278}\! \left(x \right) = F_{15}\! \left(x \right) F_{279}\! \left(x \right) F_{77}\! \left(x \right)
F_{279}\! \left(x \right) = F_{17}\! \left(x \right)+F_{280}\! \left(x \right)+F_{281}\! \left(x \right)
F_{280}\! \left(x \right) = F_{15}\! \left(x \right) F_{279}\! \left(x \right)
F_{281}\! \left(x \right) = F_{15}\! \left(x \right) F_{188}\! \left(x \right)
F_{282}\! \left(x \right) = F_{283}\! \left(x \right)
F_{283}\! \left(x \right) = F_{15}\! \left(x \right) F_{284}\! \left(x \right)
F_{284}\! \left(x \right) = F_{285}\! \left(x \right)
F_{285}\! \left(x \right) = F_{15}\! \left(x \right) F_{286}\! \left(x \right)
F_{286}\! \left(x \right) = F_{287}\! \left(x \right)+F_{288}\! \left(x \right)
F_{287}\! \left(x \right) = F_{279}\! \left(x \right) F_{72}\! \left(x \right)
F_{288}\! \left(x \right) = F_{254}\! \left(x \right) F_{289}\! \left(x \right)
F_{289}\! \left(x \right) = F_{290}\! \left(x \right)
F_{290}\! \left(x \right) = F_{15}\! \left(x \right) F_{239}\! \left(x \right)
F_{291}\! \left(x \right) = F_{292}\! \left(x \right)
F_{292}\! \left(x \right) = F_{15}\! \left(x \right) F_{279}\! \left(x \right) F_{79}\! \left(x \right) F_{88}\! \left(x \right)
System of equations in sympy syntax:
Eq(F_0(x), F_1(x) + F_2(x))
Eq(F_1(x), 1)
Eq(F_2(x), F_3(x))
Eq(F_3(x), F_15(x)*F_4(x))
Eq(F_4(x), F_0(x) + F_5(x))
Eq(F_5(x), F_6(x))
Eq(F_6(x), F_15(x)*F_7(x))
Eq(F_7(x), F_257(x) + F_8(x))
Eq(F_8(x), F_11(x) + F_9(x))
Eq(F_9(x), F_0(x)*F_10(x))
Eq(F_10(x), x**2*F_10(x)**3 - x*(x - 1)*F_10(x)**2 + 1)
Eq(F_11(x), F_12(x) + F_248(x))
Eq(F_12(x), F_13(x) + F_14(x) + F_50(x))
Eq(F_13(x), 0)
Eq(F_14(x), F_15(x)*F_16(x))
Eq(F_15(x), x)
Eq(F_16(x), F_17(x) + F_18(x))
Eq(F_17(x), F_10(x) + F_12(x))
Eq(F_18(x), F_19(x) + F_31(x))
Eq(F_19(x), F_15(x) + F_20(x))
Eq(F_20(x), F_13(x) + F_21(x) + F_25(x))
Eq(F_21(x), F_15(x)*F_22(x))
Eq(F_22(x), F_23(x) + F_24(x))
Eq(F_23(x), F_15(x))
Eq(F_24(x), F_20(x))
Eq(F_25(x), F_15(x)*F_26(x))
Eq(F_26(x), F_27(x))
Eq(F_27(x), F_15(x)*F_28(x))
Eq(F_28(x), F_29(x) + F_30(x))
Eq(F_29(x), F_1(x) + F_15(x))
Eq(F_30(x), F_20(x) + F_26(x))
Eq(F_31(x), F_13(x) + F_191(x) + F_32(x) + F_34(x))
Eq(F_32(x), F_33(x))
Eq(F_33(x), F_15(x)*F_31(x))
Eq(F_34(x), F_15(x)*F_35(x))
Eq(F_35(x), F_13(x) + F_36(x) + F_38(x))
Eq(F_36(x), F_15(x)*F_37(x))
Eq(F_37(x), F_31(x) + F_35(x))
Eq(F_38(x), F_15(x)*F_39(x))
Eq(F_39(x), F_40(x) + F_49(x))
Eq(F_40(x), F_10(x) + F_41(x))
Eq(F_41(x), F_42(x))
Eq(F_42(x), F_10(x)*F_15(x)*F_43(x))
Eq(F_43(x), F_44(x) + F_47(x))
Eq(F_44(x), F_1(x) + F_45(x) + F_46(x))
Eq(F_45(x), F_10(x)*F_15(x))
Eq(F_46(x), F_15(x)*F_43(x))
Eq(F_47(x), F_48(x))
Eq(F_48(x), F_15(x)*F_43(x)*F_44(x))
Eq(F_49(x), F_50(x)/F_15(x))
Eq(F_50(x), -F_101(x) - F_13(x) + F_51(x))
Eq(F_51(x), -F_10(x) + F_52(x))
Eq(F_52(x), F_0(x) + F_53(x))
Eq(F_53(x), F_100(x) + F_13(x) + F_54(x))
Eq(F_54(x), F_15(x)*F_55(x))
Eq(F_55(x), F_53(x) + F_56(x))
Eq(F_56(x), F_13(x) + F_57(x) + F_59(x) + F_60(x))
Eq(F_57(x), F_58(x))
Eq(F_58(x), F_15(x)*F_55(x))
Eq(F_59(x), 0)
Eq(F_60(x), F_15(x)*F_61(x))
Eq(F_61(x), 2*F_13(x) + F_62(x) + F_91(x) + F_98(x))
Eq(F_62(x), F_15(x)*F_63(x))
Eq(F_63(x), F_64(x) + F_86(x))
Eq(F_64(x), F_65(x) + F_85(x))
Eq(F_65(x), F_52(x) + F_66(x))
Eq(F_66(x), F_67(x))
Eq(F_67(x), F_15(x)*F_68(x))
Eq(F_68(x), F_69(x) - F_81(x))
Eq(F_69(x), F_70(x)/F_15(x))
Eq(F_70(x), F_71(x))
Eq(F_71(x), -F_52(x) + F_72(x))
Eq(F_72(x), F_73(x)/F_15(x))
Eq(F_73(x), -F_1(x) + F_74(x) - F_76(x))
Eq(F_74(x), F_75(x)/F_15(x))
Eq(F_75(x), F_2(x))
Eq(F_76(x), F_15(x)*F_77(x))
Eq(F_77(x), F_52(x) + F_78(x))
Eq(F_78(x), F_56(x) + F_79(x))
Eq(F_79(x), F_13(x) + F_73(x) + F_80(x))
Eq(F_80(x), F_15(x)*F_78(x))
Eq(F_81(x), F_82(x) + F_83(x))
Eq(F_82(x), F_71(x))
Eq(F_83(x), F_84(x))
Eq(F_84(x), F_15(x)*F_81(x))
Eq(F_85(x), F_61(x))
Eq(F_86(x), F_87(x))
Eq(F_87(x), F_79(x)*F_88(x))
Eq(F_88(x), F_1(x) + F_89(x))
Eq(F_89(x), F_90(x))
Eq(F_90(x), F_15(x)*F_88(x))
Eq(F_91(x), F_92(x))
Eq(F_92(x), F_15(x)*F_93(x))
Eq(F_93(x), 3*F_13(x) + F_92(x) + F_94(x))
Eq(F_94(x), F_15(x)*F_95(x))
Eq(F_95(x), F_96(x) + F_97(x))
Eq(F_96(x), F_65(x) + F_93(x))
Eq(F_97(x), F_87(x))
Eq(F_98(x), F_99(x))
Eq(F_99(x), F_15(x)*F_85(x))
Eq(F_100(x), F_15(x)*F_72(x))
Eq(F_101(x), F_102(x)*F_15(x))
Eq(F_102(x), F_103(x) + F_52(x))
Eq(F_103(x), F_104(x))
Eq(F_104(x), F_105(x)*F_15(x))
Eq(F_105(x), F_106(x) + F_233(x) + F_246(x))
Eq(F_106(x), F_107(x) + F_216(x))
Eq(F_107(x), F_1(x) + F_108(x) + F_111(x) + F_112(x))
Eq(F_108(x), F_109(x)*F_15(x))
Eq(F_109(x), F_107(x) + F_110(x))
Eq(F_110(x), F_18(x))
Eq(F_111(x), F_15(x)*F_17(x))
Eq(F_112(x), F_113(x)*F_15(x))
Eq(F_113(x), F_114(x) + F_43(x))
Eq(F_114(x), F_115(x)/F_10(x))
Eq(F_115(x), F_116(x) - F_119(x))
Eq(F_116(x), F_117(x)/F_15(x))
Eq(F_117(x), F_118(x))
Eq(F_118(x), -F_12(x) + F_49(x))
Eq(F_119(x), F_120(x) + F_13(x) + F_213(x))
Eq(F_120(x), F_121(x))
Eq(F_121(x), F_122(x)*F_15(x))
Eq(F_122(x), F_123(x) + F_186(x))
Eq(F_123(x), F_113(x)*F_124(x))
Eq(F_124(x), F_1(x) + F_125(x) + F_126(x) + F_127(x))
Eq(F_125(x), F_124(x)*F_15(x))
Eq(F_126(x), F_124(x)*F_15(x))
Eq(F_127(x), F_128(x)*F_15(x))
Eq(F_128(x), F_129(x) + F_131(x))
Eq(F_129(x), F_130(x)/F_15(x))
Eq(F_130(x), -F_1(x) - F_126(x) + F_17(x))
Eq(F_131(x), F_132(x))
Eq(F_132(x), F_133(x)*F_15(x)*F_164(x))
Eq(F_133(x), F_134(x) + F_17(x))
Eq(F_134(x), F_135(x))
Eq(F_135(x), F_136(x)*F_15(x))
Eq(F_136(x), F_137(x) - F_160(x))
Eq(F_137(x), F_138(x)/F_15(x))
Eq(F_138(x), F_139(x))
Eq(F_139(x), F_140(x) + F_144(x))
Eq(F_140(x), -F_10(x) + F_141(x))
Eq(F_141(x), F_142(x)/F_15(x))
Eq(F_142(x), F_143(x))
Eq(F_143(x), x**2*(F_143(x) + 1)**3 - x*(x - 1)*(F_143(x) + 1)**2)
Eq(F_144(x), F_145(x))
Eq(F_145(x), F_146(x) - F_156(x))
Eq(F_146(x), F_147(x) - F_157(x))
Eq(F_147(x), F_129(x) + F_148(x))
Eq(F_148(x), F_149(x))
Eq(F_149(x), F_150(x) + F_152(x))
Eq(F_150(x), F_151(x))
Eq(F_151(x), F_10(x)*F_89(x))
Eq(F_152(x), 2*F_13(x) + F_153(x) + F_155(x))
Eq(F_153(x), F_154(x))
Eq(F_154(x), F_149(x)*F_15(x))
Eq(F_155(x), F_15(x)*F_156(x))
Eq(F_156(x), F_12(x) + F_152(x))
Eq(F_157(x), F_158(x))
Eq(F_158(x), F_140(x) + F_159(x))
Eq(F_159(x), F_10(x)*F_88(x))
Eq(F_160(x), F_161(x) + F_162(x))
Eq(F_161(x), F_139(x))
Eq(F_162(x), F_163(x))
Eq(F_163(x), F_15(x)*F_160(x))
Eq(F_164(x), F_165(x) + F_170(x))
Eq(F_165(x), F_166(x) + F_88(x))
Eq(F_166(x), F_15(x) + F_167(x))
Eq(F_167(x), F_13(x) + F_168(x) + F_169(x))
Eq(F_168(x), F_15(x)*F_89(x))
Eq(F_169(x), F_15(x)*F_166(x))
Eq(F_170(x), F_171(x) + F_176(x))
Eq(F_171(x), F_172(x) + F_89(x))
Eq(F_172(x), F_13(x) + F_173(x) + F_175(x))
Eq(F_173(x), F_15(x)*F_174(x))
Eq(F_174(x), F_172(x) + F_89(x))
Eq(F_175(x), F_15(x)*F_171(x))
Eq(F_176(x), F_177(x) + F_181(x))
Eq(F_177(x), F_13(x) + F_178(x) + F_180(x))
Eq(F_178(x), F_15(x)*F_179(x))
Eq(F_179(x), F_15(x) + F_177(x))
Eq(F_180(x), F_15(x)*F_89(x))
Eq(F_181(x), F_13(x) + F_182(x) + F_184(x) + F_185(x))
Eq(F_182(x), F_15(x)*F_183(x))
Eq(F_183(x), F_167(x) + F_181(x))
Eq(F_184(x), F_15(x)*F_172(x))
Eq(F_185(x), F_15(x)*F_176(x))
Eq(F_186(x), F_187(x))
Eq(F_187(x), F_15(x)*F_17(x)*F_188(x)*F_88(x))
Eq(F_188(x), F_189(x)/F_15(x))
Eq(F_189(x), F_190(x))
Eq(F_190(x), F_191(x)/F_15(x))
Eq(F_191(x), -F_13(x) + F_192(x) - F_193(x) - F_197(x))
Eq(F_192(x), F_102(x) - F_52(x))
Eq(F_193(x), F_15(x)*F_194(x))
Eq(F_194(x), -F_102(x) + F_195(x))
Eq(F_195(x), F_196(x)/F_15(x))
Eq(F_196(x), -F_1(x) + F_102(x) - F_197(x) - F_212(x))
Eq(F_197(x), F_15(x)*F_198(x))
Eq(F_198(x), F_199(x) + F_39(x))
Eq(F_199(x), F_200(x))
Eq(F_200(x), F_15(x)*F_201(x))
Eq(F_201(x), F_202(x) + F_210(x))
Eq(F_202(x), F_203(x) + F_204(x))
Eq(F_203(x), F_39(x)*F_40(x))
Eq(F_204(x), F_205(x))
Eq(F_205(x), F_15(x)*F_206(x)*F_39(x))
Eq(F_206(x), F_207(x) + F_209(x))
Eq(F_207(x), F_208(x)/F_15(x))
Eq(F_208(x), F_49(x))
Eq(F_209(x), F_188(x)*F_89(x))
Eq(F_210(x), F_211(x))
Eq(F_211(x), F_15(x)*F_188(x)*F_39(x))
Eq(F_212(x), F_106(x)*F_15(x))
Eq(F_213(x), F_214(x))
Eq(F_214(x), F_113(x)*F_15(x)*F_215(x))
Eq(F_215(x), F_12(x) + F_144(x))
Eq(F_216(x), F_217(x))
Eq(F_217(x), F_218(x) + F_37(x))
Eq(F_218(x), F_219(x))
Eq(F_219(x), F_15(x)*F_220(x))
Eq(F_220(x), F_221(x) + F_228(x))
Eq(F_221(x), F_222(x)/F_15(x))
Eq(F_222(x), -F_13(x) + F_223(x) - F_227(x))
Eq(F_223(x), F_224(x) + F_225(x))
Eq(F_224(x), F_35(x)*F_40(x))
Eq(F_225(x), F_226(x))
Eq(F_226(x), F_15(x)*F_206(x)*F_35(x))
Eq(F_227(x), F_15(x)*F_202(x))
Eq(F_228(x), F_229(x))
Eq(F_229(x), F_15(x)*F_16(x)*F_230(x))
Eq(F_230(x), F_231(x)/F_15(x))
Eq(F_231(x), F_232(x))
Eq(F_232(x), F_113(x) - F_39(x))
Eq(F_233(x), F_234(x))
Eq(F_234(x), F_15(x)*F_235(x))
Eq(F_235(x), F_236(x) + F_237(x))
Eq(F_236(x), F_106(x)*F_77(x))
Eq(F_237(x), F_238(x))
Eq(F_238(x), F_15(x)*F_188(x)*F_239(x))
Eq(F_239(x), F_240(x) + F_245(x))
Eq(F_240(x), F_241(x) + F_87(x))
Eq(F_241(x), F_242(x) + F_243(x))
Eq(F_242(x), F_0(x)*F_88(x))
Eq(F_243(x), F_244(x)*F_88(x))
Eq(F_244(x), F_0(x) - F_88(x))
Eq(F_245(x), F_53(x)*F_88(x))
Eq(F_246(x), F_247(x))
Eq(F_247(x), F_106(x)*F_15(x)*F_72(x))
Eq(F_248(x), F_249(x))
Eq(F_249(x), F_15(x)*F_250(x))
Eq(F_250(x), F_251(x) + F_252(x))
Eq(F_251(x), F_12(x)*F_74(x))
Eq(F_252(x), F_253(x))
Eq(F_253(x), F_15(x)*F_240(x)*F_254(x))
Eq(F_254(x), F_17(x) + F_255(x) + F_256(x))
Eq(F_255(x), F_15(x)*F_254(x))
Eq(F_256(x), F_15(x)*F_230(x))
Eq(F_257(x), F_13(x) + F_258(x) + F_263(x))
Eq(F_258(x), F_15(x)*F_259(x))
Eq(F_259(x), F_260(x))
Eq(F_260(x), F_107(x)*F_15(x)*F_261(x))
Eq(F_261(x), F_262(x)/F_15(x))
Eq(F_262(x), F_71(x))
Eq(F_263(x), F_264(x))
Eq(F_264(x), F_15(x)*F_265(x))
Eq(F_265(x), F_266(x) + F_272(x))
Eq(F_266(x), F_267(x) + F_268(x))
Eq(F_267(x), F_17(x)*F_74(x))
Eq(F_268(x), F_269(x))
Eq(F_269(x), F_107(x)*F_15(x)*F_270(x))
Eq(F_270(x), F_271(x)/F_15(x))
Eq(F_271(x), F_55(x))
Eq(F_272(x), F_273(x) + F_291(x))
Eq(F_273(x), F_18(x) + F_274(x) + F_282(x))
Eq(F_274(x), F_275(x))
Eq(F_275(x), F_15(x)*F_276(x))
Eq(F_276(x), F_272(x) + F_277(x))
Eq(F_277(x), F_278(x))
Eq(F_278(x), F_15(x)*F_279(x)*F_77(x))
Eq(F_279(x), F_17(x) + F_280(x) + F_281(x))
Eq(F_280(x), F_15(x)*F_279(x))
Eq(F_281(x), F_15(x)*F_188(x))
Eq(F_282(x), F_283(x))
Eq(F_283(x), F_15(x)*F_284(x))
Eq(F_284(x), F_285(x))
Eq(F_285(x), F_15(x)*F_286(x))
Eq(F_286(x), F_287(x) + F_288(x))
Eq(F_287(x), F_279(x)*F_72(x))
Eq(F_288(x), F_254(x)*F_289(x))
Eq(F_289(x), F_290(x))
Eq(F_290(x), F_15(x)*F_239(x))
Eq(F_291(x), F_292(x))
Eq(F_292(x), F_15(x)*F_279(x)*F_79(x)*F_88(x))
Pack JSON:
{"name": "point_and_col_placements_req_corrob", "initial_strats": [{"class_module": "tilings.strategies.factor", "strategy_class": "FactorFactory", "interleaving": null, "unions": false, "ignore_parent": true, "workable": true, "tracked": false}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "PointCorroborationFactory", "ignore_parent": true}, {"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "RequirementCorroborationFactory", "ignore_parent": true}], "inferral_strats": [{"class_module": "tilings.strategies.row_and_col_separation", "strategy_class": "RowColumnSeparationStrategy", "ignore_parent": true, "inferrable": true, "possibly_empty": false, "workable": true}, {"class_module": "tilings.strategies.obstruction_inferral", "strategy_class": "ObstructionTransitivityFactory"}], "ver_strats": [{"class_module": "tilings.strategies.verification", "strategy_class": "BasicVerificationStrategy"}, {"class_module": "tilings.strategies.verification", "strategy_class": "InsertionEncodingVerificationStrategy", "ignore_parent": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "OneByOneVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}, {"class_module": "tilings.strategies.verification", "strategy_class": "LocallyFactorableVerificationStrategy", "ignore_parent": false, "basis": [], "symmetry": false}], "expansion_strats": [[{"class_module": "tilings.strategies.requirement_insertion", "strategy_class": "CellInsertionFactory", "ignore_parent": false, "maxreqlen": 1, "extra_basis": [], "one_cell_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "PatternPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "point_only": false}, {"class_module": "tilings.strategies.requirement_placement", "strategy_class": "RowAndColumnPlacementFactory", "partial": false, "ignore_parent": false, "dirs": [0, 1, 2, 3], "place_row": false, "place_col": true}]], "symmetries": [], "iterative": false}
Specification JSON:
{"root": {"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 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": [[1, 2]]}, {"patt": [0, 1], "pos": [[1, 1], [1, 1]]}, {"patt": [1, 0], "pos": [[1, 1], [1, 1]]}, {"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 2], [0, 2], [0, 2]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 2], [0, 0], [0, 2], [0, 2]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 2], [0, 2], [0, 0], [0, 2]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [0, 3, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {"patt": [3, 0, 2, 4, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"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], [0, 0], [0, 2], [0, 0], [0, 0]]}, {"patt": [3, 0, 4, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 1, 2], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {"patt": [3, 4, 0, 2, 1], "pos": [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], "requirements": [[{"patt": [0], "pos": [[1, 1]]}]], "assumptions": []}, "children": [{"class_module": "tilings.tiling", "comb_class": "Tiling", "obstructions": [{"patt": [0, 1, 2, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 1, 3], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 1], "pos": [[0, 0], [0, 1], [0, 1], [0, 1]]}, {"patt": [2, 0, 1, 3], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 0]]}, {"patt": [2, 0, 3, 1], "pos": [[0, 1], [0, 0], [0, 1], [0, 1]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 0]]}, {"patt": [2, 3, 0, 1], "pos": [[0, 1], [0, 1], [0, 0], [0, 1]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {"patt": [0, 2, 3, 4, 1], "pos": [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {"patt": [0, 3, 2, 4, 1], "pos": [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {"patt": [0, 3, 2, 4, 1], "pos": 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