aquad_chebyshev.c running T[0][0]=1 T[1][0]=0 T[1][1]=1 T[2][0]=-1 T[2][1]=0 T[2][2]=2 T[3][0]=0 T[3][1]=-3 T[3][2]=0 T[3][3]=4 T[4][0]=1 T[4][1]=0 T[4][2]=-8 T[4][3]=0 T[4][4]=8 T[5][0]=0 T[5][1]=5 T[5][2]=0 T[5][3]=-20 T[5][4]=0 T[5][5]=16 T[6][0]=-1 T[6][1]=0 T[6][2]=18 T[6][3]=0 T[6][4]=-48 T[6][5]=0 T[6][6]=32 T[7][0]=0 T[7][1]=-7 T[7][2]=0 T[7][3]=56 T[7][4]=0 T[7][5]=-112 T[7][6]=0 T[7][7]=64 T[8][0]=1 T[8][1]=0 T[8][2]=-32 T[8][3]=0 T[8][4]=160 T[8][5]=0 T[8][6]=-256 T[8][7]=0 T[8][8]=128 teval i=0, x=-1.00000, T5=-1, T6=1 T7=-1 teval i=1, x=-0.87500, T5=0.816895, T6=-0.994019 T7=0.922638 teval i=2, x=-0.75000, T5=0.890625, T6=-0.367188 T7=-0.339844 teval i=3, x=-0.62500, T5=0.231934, T6=0.61438 T7=-0.999908 teval i=4, x=-0.50000, T5=-0.5, T6=1 T7=-0.5 teval i=5, x=-0.37500, T5=-0.938965, T6=0.671021 T7=0.435699 teval i=6, x=-0.25000, T5=-0.953125, T6=-0.0546875 T7=0.980469 teval i=7, x=-0.12500, T5=-0.586426, T6=-0.730347 T7=0.769012 teval i=8, x= 0.00000, T5=0, T6=-1 T7=-0 teval i=9, x= 0.12500, T5=0.586426, T6=-0.730347 T7=-0.769012 teval i=10, x= 0.25000, T5=0.953125, T6=-0.0546875 T7=-0.980469 teval i=11, x= 0.37500, T5=0.938965, T6=0.671021 T7=-0.435699 teval i=12, x= 0.50000, T5=0.5, T6=1 T7=0.5 teval i=13, x= 0.62500, T5=-0.231934, T6=0.61438 T7=0.999908 teval i=14, x= 0.75000, T5=-0.890625, T6=-0.367188 T7=0.339844 teval i=15, x= 0.87500, T5=-0.816895, T6=-0.994019 T7=-0.922638 teval i=16, x= 1.00000, T5=1, T6=1 T7=1 peval i=0, x=-1.00000, T5=-1, T6=1 T7=-1 peval i=1, x=-0.87500, T5=0.816895, T6=-0.994019 T7=0.922638 peval i=2, x=-0.75000, T5=0.890625, T6=-0.367188 T7=-0.339844 peval i=3, x=-0.62500, T5=0.231934, T6=0.61438 T7=-0.999908 peval i=4, x=-0.50000, T5=-0.5, T6=1 T7=-0.5 peval i=5, x=-0.37500, T5=-0.938965, T6=0.671021 T7=0.435699 peval i=6, x=-0.25000, T5=-0.953125, T6=-0.0546875 T7=0.980469 peval i=7, x=-0.12500, T5=-0.586426, T6=-0.730347 T7=0.769012 peval i=8, x= 0.00000, T5=0, T6=-1 T7=0 peval i=9, x= 0.12500, T5=0.586426, T6=-0.730347 T7=-0.769012 peval i=10, x= 0.25000, T5=0.953125, T6=-0.0546875 T7=-0.980469 peval i=11, x= 0.37500, T5=0.938965, T6=0.671021 T7=-0.435699 peval i=12, x= 0.50000, T5=0.5, T6=1 T7=0.5 peval i=13, x= 0.62500, T5=-0.231934, T6=0.61438 T7=0.999908 peval i=14, x= 0.75000, T5=-0.890625, T6=-0.367188 T7=0.339844 peval i=15, x= 0.87500, T5=-0.816895, T6=-0.994019 T7=-0.922638 peval i=16, x= 1.00000, T5=1, T6=1 T7=1 i=0, x=-0.99999, f(x)=0.367879, g0(x)=82.2614, g1(x)=-82.2605 i=1, x=-0.87500, f(x)=0.416862, g0(x)=0.861066, g1(x)=-0.753433 i=2, x=-0.75000, f(x)=0.472367, g0(x)=0.714151, g1(x)=-0.535613 i=3, x=-0.62500, f(x)=0.535261, g0(x)=0.685683, g1(x)=-0.428552 i=4, x=-0.50000, f(x)=0.606531, g0(x)=0.700361, g1(x)=-0.350181 i=5, x=-0.37500, f(x)=0.687289, g0(x)=0.741393, g1(x)=-0.278022 i=6, x=-0.25000, f(x)=0.778801, g0(x)=0.804342, g1(x)=-0.201085 i=7, x=-0.12500, f(x)=0.882497, g0(x)=0.889473, g1(x)=-0.111184 i=8, x= 0.00000, f(x)=1, g0(x)=1, g1(x)=0 i=9, x= 0.12500, f(x)=1.13315, g0(x)=1.14211, g1(x)=0.142763 i=10, x= 0.25000, f(x)=1.28403, g0(x)=1.32614, g1(x)=0.331534 i=11, x= 0.37500, f(x)=1.45499, g0(x)=1.56953, g1(x)=0.588573 i=12, x= 0.50000, f(x)=1.64872, g0(x)=1.90378, g1(x)=0.95189 i=13, x= 0.62500, f(x)=1.86825, g0(x)=2.39327, g1(x)=1.49579 i=14, x= 0.75000, f(x)=2.117, g0(x)=3.2006, g1(x)=2.40045 i=15, x= 0.87500, f(x)=2.39888, g0(x)=4.9551, g1(x)=4.33571 i=16, x= 0.99999, f(x)=2.71828, g0(x)=607.822, g1(x)=607.816 Cm[0]= 1.2660658777 Cm[1]= 1.1303182079 Cm[2]= 0.2714953395 Cm[3]= 0.0443368498 Cm[4]= 0.0054742404 Cm[5]= 0.0005429263 Cm[6]= 0.0000449773 Cm[7]= 0.0000031984 maple i=0, x=-1.00000, approx=0.367879, exact=0.367879 err=1.88671e-07 maple i=1, x=-0.87500, approx=0.416862, exact=0.416862 err=1.21665e-07 maple i=2, x=-0.75000, approx=0.472366, exact=0.472367 err=1.64226e-07 maple i=3, x=-0.62500, approx=0.535261, exact=0.535261 err=1.28378e-07 maple i=4, x=-0.50000, approx=0.606531, exact=0.606531 err=8.88374e-08 maple i=5, x=-0.37500, approx=0.687289, exact=0.687289 err=1.94863e-07 maple i=6, x=-0.25000, approx=0.778801, exact=0.778801 err=9.46466e-08 maple i=7, x=-0.12500, approx=0.882497, exact=0.882497 err=9.71429e-08 maple i=8, x= 0.00000, approx=1, exact=1 err=1.987e-07 maple i=9, x= 0.12500, approx=1.13315, exact=1.13315 err=1.16982e-07 maple i=10, x= 0.25000, approx=1.28403, exact=1.28403 err=7.79021e-08 maple i=11, x= 0.37500, approx=1.45499, exact=1.45499 err=2.01755e-07 maple i=12, x= 0.50000, approx=1.64872, exact=1.64872 err=1.1085e-07 maple i=13, x= 0.62500, approx=1.86825, exact=1.86825 err=1.23882e-07 maple i=14, x= 0.75000, approx=2.117, exact=2.117 err=1.85832e-07 maple i=15, x= 0.87500, approx=2.39888, exact=2.39888 err=1.25168e-07 maple i=16, x= 1.00000, approx=2.71828, exact=2.71828 err=2.11159e-07 maple maxerr=2.11159e-07, rmserr=1.49602e-07 generating coefficients aquad3 hitop=26, funeval=1029, hmin=2.98023e-08 n=0, max=0.999999, C[0]=3.9731 aquad3 hitop=31, funeval=2589, hmin=9.31322e-10 n=0, max=0.9999999, C[0]=3.97608 aquad3 hitop=35, funeval=3557, hmin=5.82077e-11 n=0, max=0.99999999, C[0]=3.97703 aquad3 hitop=44, funeval=9557, hmin=1.13687e-13 n=0, max=0.999999999, C[0]=3.97733 aquad3 hitop=44, funeval=33653, hmin=1.13687e-13 n=0, max=0.9999999999, C[0]=3.97742 aquad3 hitop=44, funeval=104921, hmin=1.13687e-13 n=0, max=0.99999999999, C[0]=3.97745 aquad3 hitop=44, funeval=115905, hmin=1.13687e-13 n=0, max=0.999999999999, C[0]=3.97746 aquad3 hitop=44, funeval=116665, hmin=1.13687e-13 n=0, max=0.9999999999999, C[0]=3.97746 n=0, scaled err=4.39266e-07 C[0]= 1.2660654384 aquad3 hitop=26, funeval=1025, hmin=2.98023e-08 n=1, max=0.999999, C[1]=1.77217 aquad3 hitop=31, funeval=2589, hmin=9.31322e-10 n=1, max=0.9999999, C[1]=1.77445 aquad3 hitop=35, funeval=3557, hmin=5.82077e-11 n=1, max=0.99999999, C[1]=1.77517 aquad3 hitop=44, funeval=9553, hmin=1.13687e-13 n=1, max=0.999999999, C[1]=1.77539 aquad3 hitop=44, funeval=33633, hmin=1.13687e-13 n=1, max=0.9999999999, C[1]=1.77547 aquad3 hitop=44, funeval=104921, hmin=1.13687e-13 n=1, max=0.99999999999, C[1]=1.77549 aquad3 hitop=44, funeval=115901, hmin=1.13687e-13 n=1, max=0.999999999999, C[1]=1.7755 aquad3 hitop=44, funeval=116673, hmin=1.13687e-13 n=1, max=0.9999999999999, C[1]=1.7755 n=1, scaled err=6.6908e-07 C[1]= 1.1303175388 aquad3 hitop=26, funeval=1037, hmin=2.98023e-08 n=2, max=0.999999, C[2]=0.4221 aquad3 hitop=31, funeval=2597, hmin=9.31322e-10 n=2, max=0.9999999, C[2]=0.425084 aquad3 hitop=35, funeval=3565, hmin=5.82077e-11 n=2, max=0.99999999, C[2]=0.426027 aquad3 hitop=44, funeval=9573, hmin=1.13687e-13 n=2, max=0.999999999, C[2]=0.426326 aquad3 hitop=44, funeval=33673, hmin=1.13687e-13 n=2, max=0.9999999999, C[2]=0.42642 aquad3 hitop=44, funeval=105009, hmin=1.13687e-13 n=2, max=0.99999999999, C[2]=0.42645 aquad3 hitop=44, funeval=115985, hmin=1.13687e-13 n=2, max=0.999999999999, C[2]=0.42646 aquad3 hitop=44, funeval=116753, hmin=1.13687e-13 n=2, max=0.9999999999999, C[2]=0.426463 n=2, scaled err=8.78603e-07 C[2]= 0.2714944609 aquad3 hitop=26, funeval=1037, hmin=2.98023e-08 n=3, max=0.999999, C[3]=0.0663201 aquad3 hitop=31, funeval=2601, hmin=9.31322e-10 n=3, max=0.9999999, C[3]=0.068593 aquad3 hitop=35, funeval=3569, hmin=5.82077e-11 n=3, max=0.99999999, C[3]=0.0693118 aquad3 hitop=44, funeval=9585, hmin=1.13687e-13 n=3, max=0.999999999, C[3]=0.069539 aquad3 hitop=44, funeval=33689, hmin=1.13687e-13 n=3, max=0.9999999999, C[3]=0.0696109 aquad3 hitop=44, funeval=105033, hmin=1.13687e-13 n=3, max=0.99999999999, C[3]=0.0696336 aquad3 hitop=44, funeval=116013, hmin=1.13687e-13 n=3, max=0.999999999999, C[3]=0.0696408 aquad3 hitop=44, funeval=116777, hmin=1.13687e-13 n=3, max=0.9999999999999, C[3]=0.0696431 n=3, scaled err=6.69117e-07 C[3]= 0.0443361807 aquad3 hitop=26, funeval=1045, hmin=2.98023e-08 n=4, max=0.999999, C[4]=0.00423463 aquad3 hitop=31, funeval=2609, hmin=9.31322e-10 n=4, max=0.9999999, C[4]=0.00721875 aquad3 hitop=35, funeval=3577, hmin=5.82077e-11 n=4, max=0.99999999, C[4]=0.00816247 aquad3 hitop=44, funeval=9601, hmin=1.13687e-13 n=4, max=0.999999999, C[4]=0.0084609 aquad3 hitop=44, funeval=33729, hmin=1.13687e-13 n=4, max=0.9999999999, C[4]=0.00855527 aquad3 hitop=44, funeval=105101, hmin=1.13687e-13 n=4, max=0.99999999999, C[4]=0.00858512 aquad3 hitop=44, funeval=116085, hmin=1.13687e-13 n=4, max=0.999999999999, C[4]=0.00859455 aquad3 hitop=44, funeval=116845, hmin=1.13687e-13 n=4, max=0.9999999999999, C[4]=0.00859754 n=4, scaled err=8.78595e-07 C[4]= 0.0054733618 aquad3 hitop=26, funeval=1065, hmin=2.98023e-08 n=5, max=0.999999, C[5]=-0.00247111 aquad3 hitop=31, funeval=2641, hmin=9.31322e-10 n=5, max=0.9999999, C[5]=-0.000198298 aquad3 hitop=35, funeval=3609, hmin=5.82077e-11 n=5, max=0.99999999, C[5]=0.000520436 aquad3 hitop=44, funeval=9669, hmin=1.13687e-13 n=5, max=0.999999999, C[5]=0.000747713 aquad3 hitop=44, funeval=33865, hmin=1.13687e-13 n=5, max=0.9999999999, C[5]=0.000819587 aquad3 hitop=44, funeval=105377, hmin=1.13687e-13 n=5, max=0.99999999999, C[5]=0.000842315 aquad3 hitop=44, funeval=116365, hmin=1.13687e-13 n=5, max=0.999999999999, C[5]=0.000849503 aquad3 hitop=44, funeval=117129, hmin=1.13687e-13 n=5, max=0.9999999999999, C[5]=0.000851776 n=5, scaled err=6.69153e-07 C[5]= 0.0005422571 aquad3 hitop=26, funeval=1089, hmin=2.98023e-08 n=6, max=0.999999, C[6]=-0.00429377 aquad3 hitop=31, funeval=2673, hmin=9.31322e-10 n=6, max=0.9999999, C[6]=-0.00130952 aquad3 hitop=35, funeval=3641, hmin=5.82077e-11 n=6, max=0.99999999, C[6]=-0.000365799 aquad3 hitop=44, funeval=9701, hmin=1.13687e-13 n=6, max=0.999999999, C[6]=-6.73686e-05 aquad3 hitop=44, funeval=33893, hmin=1.13687e-13 n=6, max=0.9999999999, C[6]=2.70053e-05 aquad3 hitop=44, funeval=105441, hmin=1.13687e-13 n=6, max=0.99999999999, C[6]=5.68486e-05 aquad3 hitop=44, funeval=116425, hmin=1.13687e-13 n=6, max=0.999999999999, C[6]=6.6286e-05 aquad3 hitop=44, funeval=117209, hmin=1.13687e-13 n=6, max=0.9999999999999, C[6]=6.92701e-05 n=6, scaled err=8.78611e-07 C[6]= 0.0000440987 aquad3 hitop=26, funeval=1097, hmin=2.98023e-08 n=7, max=0.999999, C[7]=-0.0033189 aquad3 hitop=31, funeval=2709, hmin=9.31322e-10 n=7, max=0.9999999, C[7]=-0.00104611 aquad3 hitop=35, funeval=3677, hmin=5.82077e-11 n=7, max=0.99999999, C[7]=-0.000327374 aquad3 hitop=44, funeval=9769, hmin=1.13687e-13 n=7, max=0.999999999, C[7]=-0.000100089 aquad3 hitop=44, funeval=34013, hmin=1.13687e-13 n=7, max=0.9999999999, C[7]=-2.82157e-05 aquad3 hitop=44, funeval=105649, hmin=1.13687e-13 n=7, max=0.99999999999, C[7]=-5.48716e-06 aquad3 hitop=44, funeval=116637, hmin=1.13687e-13 n=7, max=0.999999999999, C[7]=1.70037e-06 aquad3 hitop=44, funeval=117413, hmin=1.13687e-13 n=7, max=0.9999999999999, C[7]=3.97297e-06 n=7, scaled err=6.69128e-07 C[7]= 0.0000025293 aquad3 hitop=26, funeval=1117, hmin=2.98023e-08 n=8, max=0.999999, C[8]=-0.00436413 aquad3 hitop=31, funeval=2753, hmin=9.31322e-10 n=8, max=0.9999999, C[8]=-0.00137984 aquad3 hitop=35, funeval=3721, hmin=5.82077e-11 n=8, max=0.99999999, C[8]=-0.000436117 aquad3 hitop=44, funeval=9837, hmin=1.13687e-13 n=8, max=0.999999999, C[8]=-0.000137704 aquad3 hitop=44, funeval=34169, hmin=1.13687e-13 n=8, max=0.9999999999, C[8]=-4.3332e-05 aquad3 hitop=44, funeval=105777, hmin=1.13687e-13 n=8, max=0.99999999999, C[8]=-1.34887e-05 aquad3 hitop=44, funeval=116741, hmin=1.13687e-13 n=8, max=0.999999999999, C[8]=-4.05131e-06 aquad3 hitop=44, funeval=117449, hmin=1.13687e-13 n=8, max=0.9999999999999, C[8]=-1.06724e-06 n=8, scaled err=6.79425e-07 C[8]=-0.0000006794 test fit based on integration coefficients n=2, i=0, x=-1.00000, approx=0.407242, exact=0.367879 err=0.0393629 n=2, i=1, x=-0.87500, approx=0.421269, exact=0.416862 err=0.004407 n=2, i=2, x=-0.75000, approx=0.452264, exact=0.472367 err=0.0201025 n=2, i=3, x=-0.62500, approx=0.500228, exact=0.535261 err=0.0350339 n=2, i=4, x=-0.50000, approx=0.565159, exact=0.606531 err=0.0413712 n=2, i=5, x=-0.37500, approx=0.64706, exact=0.687289 err=0.0402296 n=2, i=6, x=-0.25000, approx=0.745928, exact=0.778801 err=0.0328724 n=2, i=7, x=-0.12500, approx=0.861765, exact=0.882497 err=0.0207314 n=2, i=8, x= 0.00000, approx=0.994571, exact=1 err=0.00542902 n=2, i=9, x= 0.12500, approx=1.14434, exact=1.13315 err=0.0111964 n=2, i=10, x= 0.25000, approx=1.31109, exact=1.28403 err=0.0270618 n=2, i=11, x= 0.37500, approx=1.4948, exact=1.45499 err=0.0398065 n=2, i=12, x= 0.50000, approx=1.69548, exact=1.64872 err=0.0467557 n=2, i=13, x= 0.62500, approx=1.91312, exact=1.86825 err=0.0448785 n=2, i=14, x= 0.75000, approx=2.14774, exact=2.117 err=0.0307404 n=2, i=15, x= 0.87500, approx=2.39932, exact=2.39888 err=0.000449423 n=2, i=16, x= 1.00000, approx=2.66788, exact=2.71828 err=0.0504044 n=2, maxerr=0.0504044, rmserr=0.0327184 n=3, i=0, x=-1.00000, approx=0.362906, exact=0.367879 err=0.00497326 n=3, i=1, x=-0.87500, approx=0.418844, exact=0.416862 err=0.00198237 n=3, i=2, x=-0.75000, approx=0.477203, exact=0.472367 err=0.00483664 n=3, i=3, x=-0.62500, approx=0.540061, exact=0.535261 err=0.00479942 n=3, i=4, x=-0.50000, approx=0.609496, exact=0.606531 err=0.00296496 n=3, i=5, x=-0.37500, approx=0.687586, exact=0.687289 err=0.000296479 n=3, i=6, x=-0.25000, approx=0.77641, exact=0.778801 err=0.00239126 n=3, i=7, x=-0.12500, approx=0.878045, exact=0.882497 err=0.00445172 n=3, i=8, x= 0.00000, approx=0.994571, exact=1 err=0.00542902 n=3, i=9, x= 0.12500, approx=1.12807, exact=1.13315 err=0.00508327 n=3, i=10, x= 0.25000, approx=1.28061, exact=1.28403 err=0.00341937 n=3, i=11, x= 0.37500, approx=1.45427, exact=1.45499 err=0.000719583 n=3, i=12, x= 0.50000, approx=1.65114, exact=1.64872 err=0.00241953 n=3, i=13, x= 0.62500, approx=1.87329, exact=1.86825 err=0.00504524 n=3, i=14, x= 0.75000, approx=2.1228, exact=2.117 err=0.00580128 n=3, i=15, x= 0.87500, approx=2.40175, exact=2.39888 err=0.00287406 n=3, i=16, x= 1.00000, approx=2.71221, exact=2.71828 err=0.00606821 n=3, maxerr=0.00606821, rmserr=0.00410936 n=4, i=0, x=-1.00000, approx=0.36838, exact=0.367879 err=0.0005001 n=4, i=1, x=-0.87500, approx=0.41646, exact=0.416862 err=0.000401536 n=4, i=2, x=-0.75000, approx=0.471901, exact=0.472367 err=0.000465678 n=4, i=3, x=-0.62500, approx=0.535111, exact=0.535261 err=0.000150122 n=4, i=4, x=-0.50000, approx=0.606759, exact=0.606531 err=0.000228279 n=4, i=5, x=-0.37500, approx=0.687767, exact=0.687289 err=0.000478212 n=4, i=6, x=-0.25000, approx=0.779317, exact=0.778801 err=0.000516465 n=4, i=7, x=-0.12500, approx=0.882845, exact=0.882497 err=0.000348158 n=4, i=8, x= 0.00000, approx=1.00004, exact=1 err=4.43393e-05 n=4, i=9, x= 0.12500, approx=1.13287, exact=1.13315 err=0.000283391 n=4, i=10, x= 0.25000, approx=1.28351, exact=1.28403 err=0.000511648 n=4, i=11, x= 0.37500, approx=1.45445, exact=1.45499 err=0.00053785 n=4, i=12, x= 0.50000, approx=1.6484, exact=1.64872 err=0.000317155 n=4, i=13, x= 0.62500, approx=1.86834, exact=1.86825 err=9.56981e-05 n=4, i=14, x= 0.75000, approx=2.1175, exact=2.117 err=0.000498963 n=4, i=15, x= 0.87500, approx=2.39937, exact=2.39888 err=0.000490153 n=4, i=16, x= 1.00000, approx=2.71769, exact=2.71828 err=0.000594848 n=4, maxerr=0.000594848, rmserr=0.000413423 n=5, i=0, x=-1.00000, approx=0.367837, exact=0.367879 err=4.21567e-05 n=5, i=1, x=-0.87500, approx=0.416903, exact=0.416862 err=4.1431e-05 n=5, i=2, x=-0.75000, approx=0.472384, exact=0.472367 err=1.72693e-05 n=5, i=3, x=-0.62500, approx=0.535237, exact=0.535261 err=2.43542e-05 n=5, i=4, x=-0.50000, approx=0.606488, exact=0.606531 err=4.28499e-05 n=5, i=5, x=-0.37500, approx=0.687258, exact=0.687289 err=3.09487e-05 n=5, i=6, x=-0.25000, approx=0.7788, exact=0.778801 err=3.73792e-07 n=5, i=7, x=-0.12500, approx=0.882527, exact=0.882497 err=3.0164e-05 n=5, i=8, x= 0.00000, approx=1.00004, exact=1 err=4.43393e-05 n=5, i=9, x= 0.12500, approx=1.13318, exact=1.13315 err=3.46027e-05 n=5, i=10, x= 0.25000, approx=1.28403, exact=1.28403 err=5.19125e-06 n=5, i=11, x= 0.37500, approx=1.45496, exact=1.45499 err=2.86899e-05 n=5, i=12, x= 0.50000, approx=1.64868, exact=1.64872 err=4.60263e-05 n=5, i=13, x= 0.62500, approx=1.86822, exact=1.86825 err=3.00695e-05 n=5, i=14, x= 0.75000, approx=2.11702, exact=2.117 err=1.60149e-05 n=5, i=15, x= 0.87500, approx=2.39892, exact=2.39888 err=4.71856e-05 n=5, i=16, x= 1.00000, approx=2.71823, exact=2.71828 err=5.25907e-05 n=5, maxerr=5.25907e-05, rmserr=3.46187e-05 n=6, i=0, x=-1.00000, approx=0.367881, exact=0.367879 err=1.942e-06 n=6, i=1, x=-0.87500, approx=0.41686, exact=0.416862 err=2.40389e-06 n=6, i=2, x=-0.75000, approx=0.472368, exact=0.472367 err=1.07686e-06 n=6, i=3, x=-0.62500, approx=0.535264, exact=0.535261 err=2.73918e-06 n=6, i=4, x=-0.50000, approx=0.606532, exact=0.606531 err=1.24876e-06 n=6, i=5, x=-0.37500, approx=0.687288, exact=0.687289 err=1.35759e-06 n=6, i=6, x=-0.25000, approx=0.778798, exact=0.778801 err=2.78544e-06 n=6, i=7, x=-0.12500, approx=0.882495, exact=0.882497 err=2.04332e-06 n=6, i=8, x= 0.00000, approx=1, exact=1 err=2.40653e-07 n=6, i=9, x= 0.12500, approx=1.13315, exact=1.13315 err=2.39536e-06 n=6, i=10, x= 0.25000, approx=1.28403, exact=1.28403 err=2.7796e-06 n=6, i=11, x= 0.37500, approx=1.45499, exact=1.45499 err=9.01185e-07 n=6, i=12, x= 0.50000, approx=1.64872, exact=1.64872 err=1.92763e-06 n=6, i=13, x= 0.62500, approx=1.86824, exact=1.86825 err=2.97617e-06 n=6, i=14, x= 0.75000, approx=2.117, exact=2.117 err=1.77594e-07 n=6, i=15, x= 0.87500, approx=2.39888, exact=2.39888 err=3.35072e-06 n=6, i=16, x= 1.00000, approx=2.71827, exact=2.71828 err=8.49198e-06 n=6, maxerr=8.49198e-06, rmserr=2.9087e-06 n=7, i=0, x=-1.00000, approx=0.367879, exact=0.367879 err=5.87269e-07 n=7, i=1, x=-0.87500, approx=0.416862, exact=0.416862 err=7.02866e-08 n=7, i=2, x=-0.75000, approx=0.472367, exact=0.472367 err=2.17303e-07 n=7, i=3, x=-0.62500, approx=0.535262, exact=0.535261 err=2.10143e-07 n=7, i=4, x=-0.50000, approx=0.606531, exact=0.606531 err=1.58775e-08 n=7, i=5, x=-0.37500, approx=0.687289, exact=0.687289 err=2.55583e-07 n=7, i=6, x=-0.25000, approx=0.7788, exact=0.778801 err=3.05567e-07 n=7, i=7, x=-0.12500, approx=0.882497, exact=0.882497 err=9.8274e-08 n=7, i=8, x= 0.00000, approx=1, exact=1 err=2.40653e-07 n=7, i=9, x= 0.12500, approx=1.13315, exact=1.13315 err=4.50319e-07 n=7, i=10, x= 0.25000, approx=1.28403, exact=1.28403 err=2.99729e-07 n=7, i=11, x= 0.37500, approx=1.45499, exact=1.45499 err=2.00817e-07 n=7, i=12, x= 0.50000, approx=1.64872, exact=1.64872 err=6.62993e-07 n=7, i=13, x= 0.62500, approx=1.86825, exact=1.86825 err=4.47128e-07 n=7, i=14, x= 0.75000, approx=2.117, exact=2.117 err=6.81963e-07 n=7, i=15, x= 0.87500, approx=2.39888, exact=2.39888 err=1.01712e-06 n=7, i=16, x= 1.00000, approx=2.71828, exact=2.71828 err=5.96271e-06 n=7, maxerr=5.96271e-06, rmserr=1.50868e-06 n=8, i=0, x=-1.00000, approx=0.367878, exact=0.367879 err=1.26669e-06 n=8, i=1, x=-0.87500, approx=0.416862, exact=0.416862 err=3.51363e-07 n=8, i=2, x=-0.75000, approx=0.472366, exact=0.472367 err=3.78521e-07 n=8, i=3, x=-0.62500, approx=0.535261, exact=0.535261 err=2.21635e-07 n=8, i=4, x=-0.50000, approx=0.606531, exact=0.606531 err=3.23835e-07 n=8, i=5, x=-0.37500, approx=0.68729, exact=0.687289 err=4.22343e-07 n=8, i=6, x=-0.25000, approx=0.778801, exact=0.778801 err=9.64616e-09 n=8, i=7, x=-0.12500, approx=0.882496, exact=0.882497 err=4.63868e-07 n=8, i=8, x= 0.00000, approx=1, exact=1 err=4.38771e-07 n=8, i=9, x= 0.12500, approx=1.13315, exact=1.13315 err=8.47248e-08 n=8, i=10, x= 0.25000, approx=1.28403, exact=1.28403 err=5.95651e-07 n=8, i=11, x= 0.37500, approx=1.45499, exact=1.45499 err=4.77109e-07 n=8, i=12, x= 0.50000, approx=1.64872, exact=1.64872 err=3.23281e-07 n=8, i=13, x= 0.62500, approx=1.86825, exact=1.86825 err=8.78907e-07 n=8, i=14, x= 0.75000, approx=2.117, exact=2.117 err=8.61393e-08 n=8, i=15, x= 0.87500, approx=2.39888, exact=2.39888 err=1.43877e-06 n=8, i=16, x= 1.00000, approx=2.71828, exact=2.71828 err=6.64214e-06 n=8, maxerr=6.64214e-06, rmserr=1.71967e-06