test chebyshev.c on interval -1.0 to 1.0 ordinates, weights expp[0]=1 expp[1]=1 expp[2]=0.5 expp[3]=0.166667 expp[4]=0.0416667 expp[5]=0.00833333 expp[6]=0.00138889 expp[7]=0.000198413 expp[8]=2.48016e-05 expp[9]=2.75573e-06 expp[10]=2.75573e-07 expp[11]=2.50521e-08 expp[12]=2.08768e-09 expp[13]=1.6059e-10 expp[14]=1.14707e-11 expp[15]=7.64716e-13 expp[16]=4.77948e-14 evaluate expp(x) n=2 expp[2](-1)=0.5, err=0.132121 expp[2](-0.8)=0.52, err=0.070671 expp[2](-0.6)=0.58, err=0.0311884 expp[2](-0.4)=0.68, err=0.00967995 expp[2](-0.2)=0.82, err=0.00126925 expp[2](5.55112e-17)=1, err=0 expp[2](0.2)=1.22, err=-0.00140276 expp[2](0.4)=1.48, err=-0.0118247 expp[2](0.6)=1.78, err=-0.0421188 expp[2](0.8)=2.12, err=-0.105541 expp[2](1)=2.5, err=-0.218282 evaluate expp(x) n=3 expp[3](-1)=0.333333, err=-0.0345461 expp[3](-0.8)=0.434667, err=-0.0146623 expp[3](-0.6)=0.544, err=-0.00481164 expp[3](-0.4)=0.669333, err=-0.000986713 expp[3](-0.2)=0.818667, err=-6.40864e-05 expp[3](5.55112e-17)=1, err=0 expp[3](0.2)=1.22133, err=-6.94248e-05 expp[3](0.4)=1.49067, err=-0.00115803 expp[3](0.6)=1.816, err=-0.0061188 expp[3](0.8)=2.20533, err=-0.0202076 expp[3](1)=2.66667, err=-0.0516152 evaluate expp(x) n=4 expp[4](-1)=0.375, err=0.00712056 expp[4](-0.8)=0.451733, err=0.00240437 expp[4](-0.6)=0.5494, err=0.000588364 expp[4](-0.4)=0.6704, err=7.9954e-05 expp[4](-0.2)=0.818733, err=2.58026e-06 expp[4](5.55112e-17)=1, err=0 expp[4](0.2)=1.2214, err=-2.75816e-06 expp[4](0.4)=1.49173, err=-9.13643e-05 expp[4](0.6)=1.8214, err=-0.0007188 expp[4](0.8)=2.2224, err=-0.00314093 expp[4](1)=2.70833, err=-0.0099485 evaluate expp(x) n=5 expp[5](-1)=0.366667, err=-0.00121277 expp[5](-0.8)=0.449003, err=-0.000326297 expp[5](-0.6)=0.548752, err=-5.96361e-05 expp[5](-0.4)=0.670315, err=-5.37937e-06 expp[5](-0.2)=0.818731, err=-8.64113e-08 expp[5](5.55112e-17)=1, err=0 expp[5](0.2)=1.2214, err=-9.14935e-08 expp[5](0.4)=1.49182, err=-6.03097e-06 expp[5](0.6)=1.82205, err=-7.08004e-05 expp[5](0.8)=2.22513, err=-0.000410262 expp[5](1)=2.71667, err=-0.00161516 evaluate expp(x) n=6 expp[6](-1)=0.368056, err=0.000176114 expp[6](-0.8)=0.449367, err=3.77914e-05 expp[6](-0.6)=0.548817, err=5.16391e-06 expp[6](-0.4)=0.67032, err=3.0952e-07 expp[6](-0.2)=0.818731, err=2.47757e-09 expp[6](5.55112e-17)=1, err=0 expp[6](0.2)=1.2214, err=-2.60461e-09 expp[6](0.4)=1.49182, err=-3.42086e-07 expp[6](0.6)=1.82211, err=-6.00039e-06 expp[6](0.8)=2.22549, err=-4.61729e-05 expp[6](1)=2.71806, err=-0.000226273 evaluate expp(x) n=7 expp[7](-1)=0.367857, err=-2.22983e-05 expp[7](-0.8)=0.449325, err=-3.81872e-06 expp[7](-0.6)=0.548811, err=-3.9038e-07 expp[7](-0.4)=0.67032, err=-1.55594e-08 expp[7](-0.2)=0.818731, err=-6.21089e-11 expp[7](5.55112e-17)=1, err=0 expp[7](0.2)=1.2214, err=-6.49316e-11 expp[7](0.4)=1.49182, err=-1.70063e-08 expp[7](0.6)=1.82212, err=-4.46105e-07 expp[7](0.8)=2.22554, err=-4.56278e-06 expp[7](1)=2.71825, err=-2.78602e-05 evaluate expp(x) n=8 expp[8](-1)=0.367882, err=2.50327e-06 expp[8](-0.8)=0.449329, err=3.42295e-07 expp[8](-0.6)=0.548812, err=2.61917e-08 expp[8](-0.4)=0.67032, err=6.94519e-10 expp[8](-0.2)=0.818731, err=1.38312e-12 expp[8](5.55112e-17)=1, err=0 expp[8](0.2)=1.2214, err=-1.43952e-12 expp[8](0.4)=1.49182, err=-7.52381e-10 expp[8](0.6)=1.82212, err=-2.95334e-08 expp[8](0.8)=2.22554, err=-4.01762e-07 expp[8](1)=2.71828, err=-3.05862e-06 evaluate expp(x) n=9 expp[9](-1)=0.367879, err=-2.52459e-07 expp[9](-0.8)=0.449329, err=-2.75726e-08 expp[9](-0.6)=0.548812, err=-1.57974e-09 expp[9](-0.4)=0.67032, err=-2.78791e-11 expp[9](-0.2)=0.818731, err=-2.77556e-14 expp[9](5.55112e-17)=1, err=0 expp[9](0.2)=1.2214, err=-2.86438e-14 expp[9](0.4)=1.49182, err=-2.99827e-11 expp[9](0.6)=1.82212, err=-1.76194e-09 expp[9](0.8)=2.22554, err=-3.18942e-08 expp[9](1)=2.71828, err=-3.02886e-07 evaluate expp(x) n=10 expp[10](-1)=0.367879, err=2.31143e-08 expp[10](-0.8)=0.449329, err=2.01685e-09 expp[10](-0.6)=0.548812, err=8.65451e-11 expp[10](-0.4)=0.67032, err=1.01674e-12 expp[10](-0.2)=0.818731, err=4.44089e-16 expp[10](5.55112e-17)=1, err=0 expp[10](0.2)=1.2214, err=-4.44089e-16 expp[10](0.4)=1.49182, err=-1.08669e-12 expp[10](0.6)=1.82212, err=-9.56519e-11 expp[10](0.8)=2.22554, err=-2.30479e-09 expp[10](1)=2.71828, err=-2.73127e-08 evaluate expp(x) n=11 expp[11](-1)=0.367879, err=-1.93784e-09 expp[11](-0.8)=0.449329, err=-1.35114e-10 expp[11](-0.6)=0.548812, err=-4.3433e-12 expp[11](-0.4)=0.67032, err=-3.39728e-14 expp[11](-0.2)=0.818731, err=0 expp[11](5.55112e-17)=1, err=0 expp[11](0.2)=1.2214, err=0 expp[11](0.4)=1.49182, err=-3.59712e-14 expp[11](0.6)=1.82212, err=-4.76352e-12 expp[11](0.8)=2.22554, err=-1.52826e-10 expp[11](1)=2.71828, err=-2.26055e-09 evaluate expp(x) n=12 expp[12](-1)=0.367879, err=1.49839e-10 expp[12](-0.8)=0.449329, err=8.34965e-12 expp[12](-0.6)=0.548812, err=2.01172e-13 expp[12](-0.4)=0.67032, err=1.11022e-15 expp[12](-0.2)=0.818731, err=0 expp[12](5.55112e-17)=1, err=0 expp[12](0.2)=1.2214, err=0 expp[12](0.4)=1.49182, err=-8.88178e-16 expp[12](0.6)=1.82212, err=-2.18936e-13 expp[12](0.8)=2.22554, err=-9.3614e-12 expp[12](1)=2.71828, err=-1.72876e-10 evaluate expp(x) n=13 expp[13](-1)=0.367879, err=-1.07512e-11 expp[13](-0.8)=0.449329, err=-4.78839e-13 expp[13](-0.6)=0.548812, err=-8.54872e-15 expp[13](-0.4)=0.67032, err=0 expp[13](-0.2)=0.818731, err=0 expp[13](5.55112e-17)=1, err=0 expp[13](0.2)=1.2214, err=0 expp[13](0.4)=1.49182, err=0 expp[13](0.6)=1.82212, err=-9.32587e-15 expp[13](0.8)=2.22554, err=-5.32907e-13 expp[13](1)=2.71828, err=-1.22862e-11 evaluate expp(x) n=14 expp[14](-1)=0.367879, err=7.19647e-13 expp[14](-0.8)=0.449329, err=2.56462e-14 expp[14](-0.6)=0.548812, err=3.33067e-16 expp[14](-0.4)=0.67032, err=0 expp[14](-0.2)=0.818731, err=0 expp[14](5.55112e-17)=1, err=0 expp[14](0.2)=1.2214, err=0 expp[14](0.4)=1.49182, err=0 expp[14](0.6)=1.82212, err=-4.44089e-16 expp[14](0.8)=2.22554, err=-2.84217e-14 expp[14](1)=2.71828, err=-8.15348e-13 evaluate expp(x) n=15 expp[15](-1)=0.367879, err=-4.50751e-14 expp[15](-0.8)=0.449329, err=-1.22125e-15 expp[15](-0.6)=0.548812, err=1.11022e-16 expp[15](-0.4)=0.67032, err=0 expp[15](-0.2)=0.818731, err=0 expp[15](5.55112e-17)=1, err=0 expp[15](0.2)=1.2214, err=0 expp[15](0.4)=1.49182, err=0 expp[15](0.6)=1.82212, err=0 expp[15](0.8)=2.22554, err=-1.33227e-15 expp[15](1)=2.71828, err=-5.06262e-14 evaluate expp(x) n=16 expp[16](-1)=0.367879, err=2.66454e-15 expp[16](-0.8)=0.449329, err=1.11022e-16 expp[16](-0.6)=0.548812, err=1.11022e-16 expp[16](-0.4)=0.67032, err=0 expp[16](-0.2)=0.818731, err=0 expp[16](5.55112e-17)=1, err=0 expp[16](0.2)=1.2214, err=0 expp[16](0.4)=1.49182, err=0 expp[16](0.6)=1.82212, err=0 expp[16](0.8)=2.22554, err=-4.44089e-16 expp[16](1)=2.71828, err=-3.10862e-15 Tn(x) as TP[n][i]*x^i TP[0][0]=1 TP[1][0]=0 TP[1][1]=1 TP[2][0]=-1 TP[2][1]=0 TP[2][2]=2 TP[3][0]=0 TP[3][1]=-3 TP[3][2]=0 TP[3][3]=4 TP[4][0]=1 TP[4][1]=0 TP[4][2]=-8 TP[4][3]=0 TP[4][4]=8 TP[5][0]=-0 TP[5][1]=5 TP[5][2]=0 TP[5][3]=-20 TP[5][4]=0 TP[5][5]=16 TP[6][0]=-1 TP[6][1]=-0 TP[6][2]=18 TP[6][3]=0 TP[6][4]=-48 TP[6][5]=0 TP[6][6]=32 TP[7][0]=0 TP[7][1]=-7 TP[7][2]=-0 TP[7][3]=56 TP[7][4]=0 TP[7][5]=-112 TP[7][6]=0 TP[7][7]=64 TP[8][0]=1 TP[8][1]=0 TP[8][2]=-32 TP[8][3]=-0 TP[8][4]=160 TP[8][5]=0 TP[8][6]=-256 TP[8][7]=0 TP[8][8]=128 TP[9][0]=-0 TP[9][1]=9 TP[9][2]=0 TP[9][3]=-120 TP[9][4]=-0 TP[9][5]=432 TP[9][6]=0 TP[9][7]=-576 TP[9][8]=0 TP[9][9]=256 TP[10][0]=-1 TP[10][1]=-0 TP[10][2]=50 TP[10][3]=0 TP[10][4]=-400 TP[10][5]=-0 TP[10][6]=1120 TP[10][7]=0 TP[10][8]=-1280 TP[10][9]=0 TP[10][10]=512 TP[11][0]=0 TP[11][1]=-11 TP[11][2]=-0 TP[11][3]=220 TP[11][4]=0 TP[11][5]=-1232 TP[11][6]=-0 TP[11][7]=2816 TP[11][8]=0 TP[11][9]=-2816 TP[11][10]=0 TP[11][11]=1024 TP[12][0]=1 TP[12][1]=0 TP[12][2]=-72 TP[12][3]=-0 TP[12][4]=840 TP[12][5]=0 TP[12][6]=-3584 TP[12][7]=-0 TP[12][8]=6912 TP[12][9]=0 TP[12][10]=-6144 TP[12][11]=0 TP[12][12]=2048 TP[13][0]=-0 TP[13][1]=13 TP[13][2]=0 TP[13][3]=-364 TP[13][4]=-0 TP[13][5]=2912 TP[13][6]=0 TP[13][7]=-9984 TP[13][8]=-0 TP[13][9]=16640 TP[13][10]=0 TP[13][11]=-13312 TP[13][12]=0 TP[13][13]=4096 TP[14][0]=-1 TP[14][1]=-0 TP[14][2]=98 TP[14][3]=0 TP[14][4]=-1568 TP[14][5]=-0 TP[14][6]=9408 TP[14][7]=0 TP[14][8]=-26880 TP[14][9]=-0 TP[14][10]=39424 TP[14][11]=0 TP[14][12]=-28672 TP[14][13]=0 TP[14][14]=8192 TP[15][0]=0 TP[15][1]=-15 TP[15][2]=-0 TP[15][3]=560 TP[15][4]=0 TP[15][5]=-6048 TP[15][6]=-0 TP[15][7]=28800 TP[15][8]=0 TP[15][9]=-70400 TP[15][10]=-0 TP[15][11]=92160 TP[15][12]=0 TP[15][13]=-61440 TP[15][14]=0 TP[15][15]=16384 TP[16][0]=1 TP[16][1]=0 TP[16][2]=-128 TP[16][3]=-0 TP[16][4]=2688 TP[16][5]=0 TP[16][6]=-21504 TP[16][7]=-0 TP[16][8]=84480 TP[16][9]=0 TP[16][10]=-180224 TP[16][11]=-0 TP[16][12]=212992 TP[16][13]=0 TP[16][14]=-131072 TP[16][15]=0 TP[16][16]=32768 Check roots of Tn(x) TP[2][1](0.707107)=2.22045e-16 zero? TP[2][2](-0.707107)=-2.22045e-16 zero? TP[3][1](0.866025)=3.84593e-16 zero? TP[3][2](6.12303e-17)=-1.83691e-16 zero? TP[3][3](-0.866025)=-3.84593e-16 zero? TP[4][1](0.92388)=-2.22045e-16 zero? TP[4][2](0.382683)=-2.22045e-16 zero? TP[4][3](-0.382683)=2.22045e-16 zero? TP[4][4](-0.92388)=-2.22045e-16 zero? TP[5][1](0.951057)=-8.44708e-16 zero? TP[5][2](0.587785)=0 zero? TP[5][3](6.12303e-17)=3.06152e-16 zero? TP[5][4](-0.587785)=-5.22058e-16 zero? TP[5][5](-0.951057)=8.44708e-16 zero? TP[6][1](0.965926)=1.9984e-15 zero? TP[6][2](0.707107)=2.22045e-16 zero? TP[6][3](0.258819)=-2.22045e-16 zero? TP[6][4](-0.258819)=-8.88178e-16 zero? TP[6][5](-0.707107)=-2.22045e-16 zero? TP[6][6](-0.965926)=-1.44329e-15 zero? TP[7][1](0.974928)=1.73182e-15 zero? TP[7][2](0.781831)=6.94406e-16 zero? TP[7][3](0.433884)=3.85366e-16 zero? TP[7][4](6.12303e-17)=-4.28612e-16 zero? TP[7][5](-0.433884)=3.85366e-16 zero? TP[7][6](-0.781831)=-6.94406e-16 zero? TP[7][7](-0.974928)=-1.73182e-15 zero? TP[8][1](0.980785)=-7.99361e-15 zero? TP[8][2](0.83147)=2.77556e-15 zero? TP[8][3](0.55557)=4.44089e-16 zero? TP[8][4](0.19509)=-6.66134e-16 zero? TP[8][5](-0.19509)=6.66134e-16 zero? TP[8][6](-0.55557)=-2.66454e-15 zero? TP[8][7](-0.83147)=2.44249e-15 zero? TP[8][8](-0.980785)=-7.99361e-15 zero? TP[9][1](0.984808)=-8.74685e-15 zero? TP[9][2](0.866025)=9.23022e-15 zero? TP[9][3](0.642788)=-1.14182e-15 zero? TP[9][4](0.34202)=-1.2151e-15 zero? TP[9][5](6.12303e-17)=5.51073e-16 zero? TP[9][6](-0.34202)=-6.0755e-16 zero? TP[9][7](-0.642788)=1.14182e-15 zero? TP[9][8](-0.866025)=-9.23022e-15 zero? TP[9][9](-0.984808)=8.74685e-15 zero? TP[10][1](0.987688)=-4.38538e-14 zero? TP[10][2](0.891007)=1.9762e-14 zero? TP[10][3](0.707107)=-3.44169e-15 zero? TP[10][4](0.45399)=6.66134e-16 zero? TP[10][5](0.156434)=4.44089e-16 zero? TP[10][6](-0.156434)=-5.55112e-16 zero? TP[10][7](-0.45399)=2.22045e-16 zero? TP[10][8](-0.707107)=3.33067e-15 zero? TP[10][9](-0.891007)=3.08642e-14 zero? TP[10][10](-0.987688)=1.82077e-14 zero? TP[11][1](0.989821)=1.16046e-13 zero? TP[11][2](0.909632)=-2.58533e-14 zero? TP[11][3](0.75575)=1.34248e-15 zero? TP[11][4](0.540641)=9.60371e-16 zero? TP[11][5](0.281733)=1.00092e-15 zero? TP[11][6](6.12303e-17)=-6.73533e-16 zero? TP[11][7](-0.281733)=0 zero? TP[11][8](-0.540641)=-9.60371e-16 zero? TP[11][9](-0.75575)=1.34248e-14 zero? TP[11][10](-0.909632)=-5.33224e-14 zero? TP[11][11](-0.989821)=-1.16046e-13 zero? TP[12][1](0.991445)=6.4615e-14 zero? TP[12][2](0.92388)=7.32747e-15 zero? TP[12][3](0.793353)=6.20615e-14 zero? TP[12][4](0.608761)=-2.88658e-15 zero? TP[12][5](0.382683)=4.44089e-16 zero? TP[12][6](0.130526)=-1.33227e-15 zero? TP[12][7](-0.130526)=0 zero? TP[12][8](-0.382683)=-1.11022e-15 zero? TP[12][9](-0.608761)=-2.88658e-15 zero? TP[12][10](-0.793353)=-2.22045e-16 zero? TP[12][11](-0.92388)=7.32747e-15 zero? TP[12][12](-0.991445)=6.4615e-14 zero? TP[13][1](0.992709)=8.97573e-13 zero? TP[13][2](0.935016)=-4.48449e-13 zero? TP[13][3](0.822984)=1.0672e-13 zero? TP[13][4](0.663123)=-1.17794e-15 zero? TP[13][5](0.464723)=4.95309e-15 zero? TP[13][6](0.239316)=-8.5022e-16 zero? TP[13][7](6.12303e-17)=7.95994e-16 zero? TP[13][8](-0.239316)=-8.5022e-16 zero? TP[13][9](-0.464723)=4.12757e-15 zero? TP[13][10](-0.663123)=-2.35588e-14 zero? TP[13][11](-0.822984)=-1.0672e-13 zero? TP[13][12](-0.935016)=1.67753e-13 zero? TP[13][13](-0.992709)=-8.97573e-13 zero? TP[14][1](0.993712)=-3.14615e-12 zero? TP[14][2](0.943883)=1.51279e-12 zero? TP[14][3](0.846724)=6.01741e-14 zero? TP[14][4](0.707107)=-1.77414e-13 zero? TP[14][5](0.532032)=2.44249e-15 zero? TP[14][6](0.330279)=-3.33067e-16 zero? TP[14][7](0.111964)=8.88178e-16 zero? TP[14][8](-0.111964)=-7.77156e-16 zero? TP[14][9](-0.330279)=-1.22125e-15 zero? TP[14][10](-0.532032)=9.99201e-15 zero? TP[14][11](-0.707107)=7.10543e-14 zero? TP[14][12](-0.846724)=6.01741e-14 zero? TP[14][13](-0.943883)=1.51279e-12 zero? TP[14][14](-0.993712)=-3.14615e-12 zero? TP[15][1](0.994522)=-2.6729e-12 zero? TP[15][2](0.951057)=-3.03926e-12 zero? TP[15][3](0.866025)=1.6999e-12 zero? TP[15][4](0.743145)=-1.34649e-13 zero? TP[15][5](0.587785)=-4.38529e-14 zero? TP[15][6](0.406737)=-2.16753e-15 zero? TP[15][7](0.207912)=1.84663e-15 zero? TP[15][8](6.12303e-17)=-9.18455e-16 zero? TP[15][9](-0.207912)=-3.69325e-16 zero? TP[15][10](-0.406737)=-3.61255e-15 zero? TP[15][11](-0.587785)=2.08823e-15 zero? TP[15][12](-0.743145)=1.87453e-13 zero? TP[15][13](-0.866025)=-1.6999e-12 zero? TP[15][14](-0.951057)=3.03926e-12 zero? TP[15][15](-0.994522)=2.6729e-12 zero? TP[16][1](0.995185)=-7.08056e-12 zero? TP[16][2](0.95694)=6.48814e-13 zero? TP[16][3](0.881921)=-4.6545e-12 zero? TP[16][4](0.77301)=-8.3844e-13 zero? TP[16][5](0.634393)=-1.5099e-14 zero? TP[16][6](0.471397)=-6.21725e-15 zero? TP[16][7](0.290285)=0 zero? TP[16][8](0.0980171)=-2.66454e-15 zero? TP[16][9](-0.0980171)=-6.66134e-16 zero? TP[16][10](-0.290285)=-2.44249e-15 zero? TP[16][11](-0.471397)=2.24265e-14 zero? TP[16][12](-0.634393)=1.16906e-13 zero? TP[16][13](-0.77301)=-8.3844e-13 zero? TP[16][14](-0.881921)=8.38996e-13 zero? TP[16][15](-0.95694)=6.48814e-13 zero? TP[16][16](-0.995185)=-2.63278e-12 zero? Powers of Tn(x) for exp(x) telescoping Chebyshev for exp(x) series TTexp[0][0]=1 TTexp[1][0]=1 TTexp[1][1]=1 TTexp[2][0]=0 TTexp[2][1]=0.5 TTexp[2][2]=0.5 TTexp[3][0]=0 TTexp[3][1]=-1.33333 TTexp[3][2]=0.166667 TTexp[3][3]=0.166667 TTexp[4][0]=0.125 TTexp[4][1]=-0.333333 TTexp[4][2]=-0.625 TTexp[4][3]=0.0416667 TTexp[4][4]=0.0416667 TTexp[5][0]=0.025 TTexp[5][1]=0.35 TTexp[5][2]=-0.125 TTexp[5][3]=-0.2 TTexp[5][4]=0.00833333 TTexp[5][5]=0.00833333 TTexp[6][0]=-0.00972222 TTexp[6][1]=0.0583333 TTexp[6][2]=0.166667 TTexp[6][3]=-0.0333333 TTexp[6][4]=-0.0486111 TTexp[6][5]=0.00138889 TTexp[6][6]=0.00138889 TTexp[7][0]=-0.00138889 TTexp[7][1]=-0.0402778 TTexp[7][2]=0.0238095 TTexp[7][3]=0.0535714 TTexp[7][4]=-0.00694444 TTexp[7][5]=-0.00952381 TTexp[7][6]=0.000198413 TTexp[7][7]=0.000198413 TTexp[8][0]=0.000694444 TTexp[8][1]=-0.00503472 TTexp[8][2]=-0.019246 TTexp[8][3]=0.00669643 TTexp[8][4]=0.0130208 TTexp[8][5]=-0.00119048 TTexp[8][6]=-0.0015625 TTexp[8][7]=2.48016e-05 TTexp[8][8]=2.48016e-05 TTexp[9][0]=7.71605e-05 TTexp[9][1]=0.00256559 TTexp[9][2]=-0.00213845 TTexp[9][3]=-0.0062004 TTexp[9][4]=0.00144676 TTexp[9][5]=0.0025463 TTexp[9][6]=-0.000173611 TTexp[9][7]=-0.000220459 TTexp[9][8]=2.75573e-06 TTexp[9][9]=2.75573e-06 Check telescoping at roots of TTexp TPexp[3](0.866025)=-0.921447, exp(0.866025)=2.37744 TPexp[3](6.12303e-17)=-8.16404e-17, exp(6.12303e-17)=1 TPexp[3](-0.866025)=1.17145, exp(-0.866025)=0.42062 TPexp[4](0.92388)=-0.653217, exp(0.92388)=2.51904 TPexp[4](0.382683)=-0.0908616, exp(0.382683)=1.46621 TPexp[4](-0.382683)=0.159591, exp(-0.382683)=0.682029 TPexp[4](-0.92388)=-0.103012, exp(-0.92388)=0.396976 TPexp[5](0.951057)=0.0860604, exp(0.951057)=2.58844 TPexp[5](0.587785)=0.148503, exp(0.587785)=1.8 TPexp[5](6.12303e-17)=0.025, exp(6.12303e-17)=1 TPexp[5](-0.587785)=-0.182886, exp(-0.587785)=0.555556 TPexp[5](-0.951057)=-0.248552, exp(-0.951057)=0.386333 TPexp[6](0.965926)=0.132064, exp(0.965926)=2.62722 TPexp[6](0.707107)=0.0913403, exp(0.707107)=2.02811 TPexp[6](0.258819)=0.0157461, exp(0.258819)=1.2954 TPexp[6](-0.258819)=-0.0132969, exp(-0.258819)=0.771963 TPexp[6](-0.707107)=0.0319236, exp(-0.707107)=0.493069 TPexp[6](-0.965926)=0.0771185, exp(-0.965926)=0.380631 TPexp[7](0.974928)=0.0172904, exp(0.974928)=2.65098 TPexp[7](0.781831)=0.00198033, exp(0.781831)=2.18547 TPexp[7](0.433884)=-0.0103974, exp(0.433884)=1.54324 TPexp[7](6.12303e-17)=-0.00138889, exp(6.12303e-17)=1 TPexp[7](-0.433884)=0.0160946, exp(-0.433884)=0.647988 TPexp[7](-0.781831)=0.0192507, exp(-0.781831)=0.457567 TPexp[7](-0.974928)=0.0129863, exp(-0.974928)=0.37722 TPexp[8](0.980785)=-0.00681905, exp(0.980785)=2.66655 TPexp[8](0.83147)=-0.00770162, exp(0.83147)=2.29669 TPexp[8](0.55557)=-0.00576267, exp(0.55557)=1.74293 TPexp[8](0.19509)=-0.000952128, exp(0.19509)=1.21542 TPexp[8](-0.19509)=0.000913551, exp(-0.19509)=0.82276 TPexp[8](-0.55557)=-0.0023398, exp(-0.55557)=0.573745 TPexp[8](-0.83147)=-0.00609522, exp(-0.83147)=0.435409 TPexp[8](-0.980785)=-0.00746114, exp(-0.980785)=0.375016 TPexp[9](0.984808)=-0.00202437, exp(0.984808)=2.6773 TPexp[9](0.866025)=-0.00143005, exp(0.866025)=2.37744 TPexp[9](0.642788)=-0.00029971, exp(0.642788)=1.90177 TPexp[9](0.34202)=0.000487738, exp(0.34202)=1.40779 TPexp[9](6.12303e-17)=7.71605e-05, exp(6.12303e-17)=1 TPexp[9](-0.34202)=-0.000794679, exp(-0.34202)=0.710334 TPexp[9](-0.642788)=-0.000843445, exp(-0.642788)=0.525825 TPexp[9](-0.866025)=-0.000140441, exp(-0.866025)=0.42062 TPexp[9](-0.984808)=0.000440537, exp(-0.984808)=0.373511 x[1]= 0.0000000000000E+00, w[1]= 2.0000000000000E+00 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -5.7735026918963E-01, w[1]= 1.0000000000000E-00 x[2]= 5.7735026918963E-01, w[2]= 1.0000000000000E-00 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -7.7459666924148E-01, w[1]= 5.5555555555555E-01 x[2]= 0.0000000000000E+00, w[2]= 8.8888888888889E-01 x[3]= 7.7459666924148E-01, w[3]= 5.5555555555555E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -8.6113631159405E-01, w[1]= 3.4785484513745E-01 x[2]= -3.3998104358486E-01, w[2]= 6.5214515486255E-01 x[3]= 3.3998104358486E-01, w[3]= 6.5214515486255E-01 x[4]= 8.6113631159405E-01, w[4]= 3.4785484513745E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.0617984593866E-01, w[1]= 2.3692688505618E-01 x[2]= -5.3846931010568E-01, w[2]= 4.7862867049937E-01 x[3]= 0.0000000000000E+00, w[3]= 5.6888888888889E-01 x[4]= 5.3846931010568E-01, w[4]= 4.7862867049937E-01 x[5]= 9.0617984593866E-01, w[5]= 2.3692688505618E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.3246951420315E-01, w[1]= 1.7132449237916E-01 x[2]= -6.6120938646626E-01, w[2]= 3.6076157304814E-01 x[3]= -2.3861918608320E-01, w[3]= 4.6791393457269E-01 x[4]= 2.3861918608320E-01, w[4]= 4.6791393457269E-01 x[5]= 6.6120938646626E-01, w[5]= 3.6076157304814E-01 x[6]= 9.3246951420315E-01, w[6]= 1.7132449237916E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.4910791234276E-01, w[1]= 1.2948496616886E-01 x[2]= -7.4153118559939E-01, w[2]= 2.7970539148928E-01 x[3]= -4.0584515137740E-01, w[3]= 3.8183005050512E-01 x[4]= 0.0000000000000E+00, w[4]= 4.1795918367347E-01 x[5]= 4.0584515137740E-01, w[5]= 3.8183005050512E-01 x[6]= 7.4153118559939E-01, w[6]= 2.7970539148928E-01 x[7]= 9.4910791234276E-01, w[7]= 1.2948496616886E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.6028985649754E-01, w[1]= 1.0122853629037E-01 x[2]= -7.9666647741363E-01, w[2]= 2.2238103445337E-01 x[3]= -5.2553240991633E-01, w[3]= 3.1370664587789E-01 x[4]= -1.8343464249565E-01, w[4]= 3.6268378337836E-01 x[5]= 1.8343464249565E-01, w[5]= 3.6268378337836E-01 x[6]= 5.2553240991633E-01, w[6]= 3.1370664587789E-01 x[7]= 7.9666647741363E-01, w[7]= 2.2238103445337E-01 x[8]= 9.6028985649754E-01, w[8]= 1.0122853629037E-01 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.6816023950763E-01, w[1]= 8.1274388361569E-02 x[2]= -8.3603110732664E-01, w[2]= 1.8064816069486E-01 x[3]= -6.1337143270059E-01, w[3]= 2.6061069640294E-01 x[4]= -3.2425342340381E-01, w[4]= 3.1234707704000E-01 x[5]= 0.0000000000000E+00, w[5]= 3.3023935500126E-01 x[6]= 3.2425342340381E-01, w[6]= 3.1234707704000E-01 x[7]= 6.1337143270059E-01, w[7]= 2.6061069640294E-01 x[8]= 8.3603110732664E-01, w[8]= 1.8064816069486E-01 x[9]= 9.6816023950763E-01, w[9]= 8.1274388361569E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.7390652851717E-01, w[1]= 6.6671344308684E-02 x[2]= -8.6506336668898E-01, w[2]= 1.4945134915058E-01 x[3]= -6.7940956829902E-01, w[3]= 2.1908636251598E-01 x[4]= -4.3339539412925E-01, w[4]= 2.6926671931000E-01 x[5]= -1.4887433898163E-01, w[5]= 2.9552422471475E-01 x[6]= 1.4887433898163E-01, w[6]= 2.9552422471475E-01 x[7]= 4.3339539412925E-01, w[7]= 2.6926671931000E-01 x[8]= 6.7940956829902E-01, w[8]= 2.1908636251598E-01 x[9]= 8.6506336668898E-01, w[9]= 1.4945134915058E-01 x[10]= 9.7390652851717E-01, w[10]= 6.6671344308684E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.7822865814606E-01, w[1]= 5.5668567116170E-02 x[2]= -8.8706259976810E-01, w[2]= 1.2558036946490E-01 x[3]= -7.3015200557405E-01, w[3]= 1.8629021092773E-01 x[4]= -5.1909612920681E-01, w[4]= 2.3319376459199E-01 x[5]= -2.6954315595234E-01, w[5]= 2.6280454451025E-01 x[6]= 0.0000000000000E+00, w[6]= 2.7292508677790E-01 x[7]= 2.6954315595234E-01, w[7]= 2.6280454451025E-01 x[8]= 5.1909612920681E-01, w[8]= 2.3319376459199E-01 x[9]= 7.3015200557405E-01, w[9]= 1.8629021092773E-01 x[10]= 8.8706259976810E-01, w[10]= 1.2558036946490E-01 x[11]= 9.7822865814606E-01, w[11]= 5.5668567116170E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.8156063424672E-01, w[1]= 4.7175336386508E-02 x[2]= -9.0411725637047E-01, w[2]= 1.0693932599532E-01 x[3]= -7.6990267419430E-01, w[3]= 1.6007832854335E-01 x[4]= -5.8731795428662E-01, w[4]= 2.0316742672307E-01 x[5]= -3.6783149899818E-01, w[5]= 2.3349253653835E-01 x[6]= -1.2523340851147E-01, w[6]= 2.4914704581340E-01 x[7]= 1.2523340851147E-01, w[7]= 2.4914704581340E-01 x[8]= 3.6783149899818E-01, w[8]= 2.3349253653835E-01 x[9]= 5.8731795428662E-01, w[9]= 2.0316742672307E-01 x[10]= 7.6990267419430E-01, w[10]= 1.6007832854335E-01 x[11]= 9.0411725637047E-01, w[11]= 1.0693932599532E-01 x[12]= 9.8156063424672E-01, w[12]= 4.7175336386508E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.8418305471859E-01, w[1]= 4.0484004765313E-02 x[2]= -9.1759839922298E-01, w[2]= 9.2121499837728E-02 x[3]= -8.0157809073331E-01, w[3]= 1.3887351021979E-01 x[4]= -6.4234933944034E-01, w[4]= 1.7814598076195E-01 x[5]= -4.4849275103645E-01, w[5]= 2.0781604753689E-01 x[6]= -2.3045831595513E-01, w[6]= 2.2628318026290E-01 x[7]= 0.0000000000000E+00, w[7]= 2.3255155323087E-01 x[8]= 2.3045831595513E-01, w[8]= 2.2628318026290E-01 x[9]= 4.4849275103645E-01, w[9]= 2.0781604753689E-01 x[10]= 6.4234933944034E-01, w[10]= 1.7814598076195E-01 x[11]= 8.0157809073331E-01, w[11]= 1.3887351021979E-01 x[12]= 9.1759839922298E-01, w[12]= 9.2121499837728E-02 x[13]= 9.8418305471859E-01, w[13]= 4.0484004765313E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.8628380869681E-01, w[1]= 3.5119460331749E-02 x[2]= -9.2843488366357E-01, w[2]= 8.0158087159760E-02 x[3]= -8.2720131506977E-01, w[3]= 1.2151857068790E-01 x[4]= -6.8729290481169E-01, w[4]= 1.5720316715819E-01 x[5]= -5.1524863635815E-01, w[5]= 1.8553839747794E-01 x[6]= -3.1911236892789E-01, w[6]= 2.0519846372130E-01 x[7]= -1.0805494870734E-01, w[7]= 2.1526385346316E-01 x[8]= 1.0805494870734E-01, w[8]= 2.1526385346316E-01 x[9]= 3.1911236892789E-01, w[9]= 2.0519846372130E-01 x[10]= 5.1524863635815E-01, w[10]= 1.8553839747794E-01 x[11]= 6.8729290481169E-01, w[11]= 1.5720316715819E-01 x[12]= 8.2720131506977E-01, w[12]= 1.2151857068790E-01 x[13]= 9.2843488366357E-01, w[13]= 8.0158087159760E-02 x[14]= 9.8628380869681E-01, w[14]= 3.5119460331749E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.8799251802049E-01, w[1]= 3.0753241996115E-02 x[2]= -9.3727339240071E-01, w[2]= 7.0366047488108E-02 x[3]= -8.4820658341043E-01, w[3]= 1.0715922046717E-01 x[4]= -7.2441773136017E-01, w[4]= 1.3957067792615E-01 x[5]= -5.7097217260854E-01, w[5]= 1.6626920581699E-01 x[6]= -3.9415134707756E-01, w[6]= 1.8616100001556E-01 x[7]= -2.0119409399743E-01, w[7]= 1.9843148532711E-01 x[8]= 0.0000000000000E+00, w[8]= 2.0257824192556E-01 x[9]= 2.0119409399743E-01, w[9]= 1.9843148532711E-01 x[10]= 3.9415134707756E-01, w[10]= 1.8616100001556E-01 x[11]= 5.7097217260854E-01, w[11]= 1.6626920581699E-01 x[12]= 7.2441773136017E-01, w[12]= 1.3957067792615E-01 x[13]= 8.4820658341043E-01, w[13]= 1.0715922046717E-01 x[14]= 9.3727339240071E-01, w[14]= 7.0366047488108E-02 x[15]= 9.8799251802049E-01, w[15]= 3.0753241996115E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.8940093499165E-01, w[1]= 2.7152459411752E-02 x[2]= -9.4457502307323E-01, w[2]= 6.2253523938648E-02 x[3]= -8.6563120238783E-01, w[3]= 9.5158511682493E-02 x[4]= -7.5540440835500E-01, w[4]= 1.2462897125553E-01 x[5]= -6.1787624440264E-01, w[5]= 1.4959598881658E-01 x[6]= -4.5801677765723E-01, w[6]= 1.6915651939500E-01 x[7]= -2.8160355077926E-01, w[7]= 1.8260341504492E-01 x[8]= -9.5012509837637E-02, w[8]= 1.8945061045507E-01 x[9]= 9.5012509837637E-02, w[9]= 1.8945061045507E-01 x[10]= 2.8160355077926E-01, w[10]= 1.8260341504492E-01 x[11]= 4.5801677765723E-01, w[11]= 1.6915651939500E-01 x[12]= 6.1787624440264E-01, w[12]= 1.4959598881658E-01 x[13]= 7.5540440835500E-01, w[13]= 1.2462897125553E-01 x[14]= 8.6563120238783E-01, w[14]= 9.5158511682493E-02 x[15]= 9.4457502307323E-01, w[15]= 6.2253523938648E-02 x[16]= 9.8940093499165E-01, w[16]= 2.7152459411752E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 x[1]= -9.9057547531442E-01, w[1]= 2.4148302868546E-02 x[2]= -9.5067552176877E-01, w[2]= 5.5459529373987E-02 x[3]= -8.8023915372699E-01, w[3]= 8.5036148317179E-02 x[4]= -7.8151400389680E-01, w[4]= 1.1188384719340E-01 x[5]= -6.5767115921669E-01, w[5]= 1.3513636846853E-01 x[6]= -5.1269053708648E-01, w[6]= 1.5404576107681E-01 x[7]= -3.5123176345388E-01, w[7]= 1.6800410215645E-01 x[8]= -1.7848418149585E-01, w[8]= 1.7656270536699E-01 x[9]= 0.0000000000000E+00, w[9]= 1.7944647035621E-01 x[10]= 1.7848418149585E-01, w[10]= 1.7656270536699E-01 x[11]= 3.5123176345388E-01, w[11]= 1.6800410215645E-01 x[12]= 5.1269053708648E-01, w[12]= 1.5404576107681E-01 x[13]= 6.5767115921669E-01, w[13]= 1.3513636846853E-01 x[14]= 7.8151400389680E-01, w[14]= 1.1188384719340E-01 x[15]= 8.8023915372699E-01, w[15]= 8.5036148317179E-02 x[16]= 9.5067552176877E-01, w[16]= 5.5459529373987E-02 x[17]= 9.9057547531442E-01, w[17]= 2.4148302868546E-02 integral(1.0, -1.0..1.0)= 2.0000000000000E+00 integral (0.5,1.0) sin(x) dx = 3.3727533740282E-01 integral (0.5,1.0) sin(x) dx = 3.3728025865871E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602148E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 integral (0.5,1.0) sin(x) dx = 3.3728025602223E-01 -cos(1.0)+cos(0.5) = 3.3728025602223E-01 Maple says 3.372802560E-001 integral (0.5,5.0) exp(x) dx = 1.3862135352536E+02 integral (0.5,5.0) exp(x) dx = 1.4642644151771E+02 integral (0.5,5.0) exp(x) dx = 1.4675690063962E+02 integral (0.5,5.0) exp(x) dx = 1.4676433289636E+02 integral (0.5,5.0) exp(x) dx = 1.4676443683336E+02 integral (0.5,5.0) exp(x) dx = 1.4676443782497E+02 integral (0.5,5.0) exp(x) dx = 1.4676443783184E+02 integral (0.5,5.0) exp(x) dx = 1.4676443783187E+02 integral (0.5,5.0) exp(x) dx = 1.4676443783188E+02 exp(5.0)-exp(0.5) = 1.4676443783188E+02 Maple says 1.467644378E+002 integral (0.5,5.0) mess(x) dx = 3.1356507011705E+11 integral (0.5,5.0) mess(x) dx = 3.3387544148189E+14 integral (0.5,5.0) mess(x) dx = 8.2997658033780E+15 integral (0.5,5.0) mess(x) dx = 4.2026882013806E+16 integral (0.5,5.0) mess(x) dx = 1.0086013181589E+17 integral (0.5,5.0) mess(x) dx = 1.6470951828818E+17 integral (0.5,5.0) mess(x) dx = 2.1739064360728E+17 integral (0.5,5.0) mess(x) dx = 2.5375071970853E+17 integral (0.5,5.0) mess(x) dx = 2.7573621422541E+17 integral (0.5,5.0) mess(x) dx = 2.8766503414384E+17 integral (0.5,5.0) mess(x) dx = 2.9355491094555E+17 integral (0.5,5.0) mess(x) dx = 2.9622628247234E+17 integral (0.5,5.0) mess(x) dx = 2.9734699688923E+17 integral (0.5,5.0) mess(x) dx = 2.9778429559326E+17 integral (0.5,5.0) mess(x) dx = 2.9794372483708E+17 integral (0.5,5.0) mess(x) dx = 2.9799824570457E+17 integral (0.5,5.0) mess(x) dx = 2.9801579453112E+17 integral (0.5,5.0) mess(x) dx = 2.9802112718970E+17 integral (0.5,5.0) mess(x) dx = 2.9802266122759E+17 integral (0.5,5.0) mess(x) dx = 2.9802308002182E+17 integral (0.5,5.0) mess(x) dx = 2.9802318876947E+17 integral (0.5,5.0) mess(x) dx = 2.9802321568455E+17 integral (0.5,5.0) mess(x) dx = 2.9802322204606E+17 integral (0.5,5.0) mess(x) dx = 2.9802322348447E+17 integral (0.5,5.0) mess(x) dx = 2.9802322379613E+17 integral (0.5,5.0) mess(x) dx = 2.9802322386094E+17 integral (0.5,5.0) mess(x) dx = 2.9802322387389E+17 integral (0.5,5.0) mess(x) dx = 2.9802322387638E+17 integral (0.5,5.0) mess(x) dx = 2.9802322387684E+17 ((5.0**5.0)**5.0)-(0.5**0.5)**0.5 = 2.9802322387695E+17 Maple says 2.980232239E+017 Done.