series,x,y Euler (N evaluations),1,1 Euler (N evaluations),2,0.5 Euler (N evaluations),3,0.35999999999999988 Euler (N evaluations),4,0.28000000000000003 Euler (N evaluations),5,0.2294998054912879 Euler (N evaluations),6,0.19452662721893488 Euler (N evaluations),7,0.1688470822849073 Euler (N evaluations),8,0.14917824221453269 Euler (N evaluations),9,0.13362519419951091 Euler (N evaluations),10,0.12101562154745482 Euler (N evaluations),11,0.11058466666735911 Euler (N evaluations),12,0.10181176404306969 Euler (N evaluations),13,0.094330182897806369 Euler (N evaluations),14,0.087874042701266308 Euler (N evaluations),15,0.082245840112174839 Euler (N evaluations),16,0.077295775940228073 Euler (N evaluations),17,0.072908160969311075 Euler (N evaluations),18,0.068992223232585914 Euler (N evaluations),19,0.065475738144149753 Euler (N evaluations),20,0.062300518810273542 Euler (N evaluations),21,0.059419161825945088 Euler (N evaluations),22,0.056792658658638917 Euler (N evaluations),23,0.054388615289737485 Euler (N evaluations),24,0.052179906689145183 Euler (N evaluations),25,0.050143647018901061 Euler (N evaluations),26,0.048260392354962045 Euler (N evaluations),27,0.046513516878436856 Euler (N evaluations),28,0.044888720030599072 Euler (N evaluations),29,0.043373633629989139 Euler (N evaluations),30,0.041957506064853156 Euler (N evaluations),31,0.04063094647456067 Euler (N evaluations),32,0.039385716030634343 Euler (N evaluations),33,0.038214556499517327 Euler (N evaluations),34,0.037111048540938718 Euler (N evaluations),35,0.036069493892591398 Euler (N evaluations),36,0.035084816871150837 Euler (N evaluations),37,0.034152481592452322 Euler (N evaluations),38,0.033268422059532066 Euler (N evaluations),39,0.032428982843471177 Euler (N evaluations),40,0.031630868530412526 Euler (N evaluations),41,0.030871100459513467 Euler (N evaluations),42,0.03014697955369039 Euler (N evaluations),43,0.029456054264901943 Euler (N evaluations),44,0.028796092831225528 Euler (N evaluations),45,0.0281650591838285 Euler (N evaluations),46,0.027561091955580874 Euler (N evaluations),47,0.026982486135197492 Euler (N evaluations),48,0.0264276769859072 Euler (N evaluations),49,0.025895225909062014 Euler (N evaluations),50,0.025383807983675233 Euler (N evaluations),51,0.024892200954531263 Euler (N evaluations),52,0.024419275476136426 Euler (N evaluations),53,0.023963986448515162 Euler (N evaluations),54,0.023525365304893131 Euler (N evaluations),55,0.02310251313143874 Euler (N evaluations),56,0.022694594516191491 Euler (N evaluations),57,0.022300832038551932 Euler (N evaluations),58,0.021920501322853392 Euler (N evaluations),59,0.02155292658975827 Euler (N evaluations),60,0.021197476648003089 Euler (N evaluations),61,0.020853561276436117 Euler (N evaluations),62,0.020520627952753112 Euler (N evaluations),63,0.020198158890737394 Euler (N evaluations),64,0.019885668352616848 Heun (2N evaluations),1,0.5 Heun (2N evaluations),2,0.0625 Heun (2N evaluations),3,0.023266666666666769 Heun (2N evaluations),4,0.01000000000000012 Heun (2N evaluations),5,0.0052106663016272536 Heun (2N evaluations),6,0.0030411321519073775 Heun (2N evaluations),7,0.0019250253033988862 Heun (2N evaluations),8,0.0012939029025649251 Heun (2N evaluations),9,0.00091080604943627463 Heun (2N evaluations),10,0.0006650460771386868 Heun (2N evaluations),11,0.0005002508399951644 Heun (2N evaluations),12,0.0003856661604397793 Heun (2N evaluations),13,0.00030354782539165903 Heun (2N evaluations),14,0.00024317103737236945 Heun (2N evaluations),15,0.00019779451595391961 Heun (2N evaluations),16,0.00016303650691307237 Heun (2N evaluations),17,0.00013596517444347533 Heun (2N evaluations),18,0.00011456853067837169 Heun (2N evaluations),19,9.743469478151745e-05 Heun (2N evaluations),20,8.3553085683307771e-05 Heun (2N evaluations),21,7.2187442628379728e-05 Heun (2N evaluations),22,6.2792755166185543e-05 Heun (2N evaluations),23,5.4959736536797088e-05 Heun (2N evaluations),24,4.8376979691733268e-05 Heun (2N evaluations),25,4.2804706034904605e-05 Heun (2N evaluations),26,3.8056260622254534e-05 Heun (2N evaluations),27,3.3984874561410194e-05 Heun (2N evaluations),28,3.0474066444297065e-05 Heun (2N evaluations),29,2.74305951225573e-05 Heun (2N evaluations),30,2.4779225649362857e-05 Heun (2N evaluations),31,2.2458800051916583e-05 Heun (2N evaluations),32,2.0419258145776276e-05 Heun (2N evaluations),33,1.8619357603943953e-05 Heun (2N evaluations),34,1.7024913947949472e-05 Heun (2N evaluations),35,1.5607430798203481e-05 Heun (2N evaluations),36,1.4343025676710752e-05 Heun (2N evaluations),37,1.3211581521677118e-05 Heun (2N evaluations),38,1.2196071925596463e-05 Heun (2N evaluations),39,1.1282021098568684e-05 Heun (2N evaluations),40,1.0457069019698118e-05 Heun (2N evaluations),41,9.7106192958884563e-06 Heun (2N evaluations),42,9.0335524385309895e-06 Heun (2N evaluations),43,8.4179911854498357e-06 Heun (2N evaluations),44,7.8571075020628101e-06 Heun (2N evaluations),45,7.3449630964006474e-06 Heun (2N evaluations),46,6.8763770451063522e-06 Heun (2N evaluations),47,6.4468154598040783e-06 Heun (2N evaluations),48,6.0522991466305243e-06 Heun (2N evaluations),49,5.689326020519303e-06 Heun (2N evaluations),50,5.3548056823116141e-06 Heun (2N evaluations),51,5.0460040461608457e-06 Heun (2N evaluations),52,4.7604963204772588e-06 Heun (2N evaluations),53,4.4961269433096973e-06 Heun (2N evaluations),54,4.2509753486186241e-06 Heun (2N evaluations),55,4.0233266096478815e-06 Heun (2N evaluations),56,3.8116462066639656e-06 Heun (2N evaluations),57,3.6145582646973651e-06 Heun (2N evaluations),58,3.4308267499172374e-06 Heun (2N evaluations),59,3.259339157901664e-06 Heun (2N evaluations),60,3.0990923545193283e-06 Heun (2N evaluations),61,2.9491802314707272e-06 Heun (2N evaluations),62,2.8087829313516721e-06 Heun (2N evaluations),63,2.6771574186401637e-06 Heun (2N evaluations),64,2.5536292165284635e-06