Scientific Web - Speedcomparison Mathematica 2
- To: mathgroup at smc.vnet.net
- Subject: [mg2609] Scientific Web - Speedcomparison Mathematica 2
- From: Stefan Steinhaus <stst at informatik.uni-frankfurt.de>
- Date: Mon, 27 Nov 1995 21:35:55 -0500
> Comparison of Mathematica on Various Machines
>
> -------------------------------------------------------------------------------
>
> Author : Stefan Steinhaus (UNI Frankfurt)
> E-Mail : stst at informatik.uni-frankfurt.de
>
> -------------------------------------------------------------------------------
> This is the latest version of Mathematica timing tests; (further results are
> welcome: stst at informatik.uni-frankfurt.de).
>
> Timing[3^10000;]
>
> PENTIUM 90,32 MB,Win. NT 3.51: 0.040 Second
> PENTIUM 90,32 MB,DOS: 0.050 Second
> 80486 DX/4-100,32 MB,DOS: 0.050 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 0.055 Second
> PENTIUM 90,32 MB,Win. 3.11: 0.055 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 0.055 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 0.060 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 0.060 Second
> PENTIUM 90,32 MB,OS/2 3.0: 0.062 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 0.062 Second
> Apple PowerMAC 6100/60: 0.067 Second
> HP 9000/700: 0.090 Second
> HP 9000/715-50: 0.090 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 0.090 Second
> 80486 50 MHz,16 MB,VL,Win.: 0.165 Second
> 80486 50 MHz,16 MB,ISA,Win.: 0.165 Second
> 80486 50 MHz,16 MB,ISA,DOS: 0.170 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 0.170 Second
> 80486 33 MHz,16 MB,ISA,Win.: 0.275 Second
> 80486 33 MHz,16 MB,ISA,DOS: 0.280 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 0.280 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 0.280 Second
> Apple Quadra 650, 20 MB RAM: 0.316 Second
> Apple Quadra 700: 0.400 Second
> Apple Centris 610,12 MB (no Coprocessor): 0.450 Second
> Apple IIvx,20 MB: 0.883 Second
> Apple LC III,8 MB (no Coprocessor): 1.000 Second
> Apple LC,8 MB (no Coprocessor): 2.017 Second
>
> Timing[10000!;]
>
> PENTIUM 90,32 MB,OS/2 3.0: 5.782 Second
> PENTIUM 90,32 MB,Win. 3.11: 6.097 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 6.151 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 7.250 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 7.305 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 7.343 Second
> PENTIUM 90,32 MB,DOS: 7.640 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 7.780 Second
> 80486 DX/4-100,32 MB,DOS: 9.550 Second
> Apple PowerMAC 6100/60: 9.567 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 9.720 Second
> HP 9000/715-50: 11.790 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 19.388 Second
> 80486 50 MHz,16 MB,ISA,Win.: 22.191 Second
> 80486 50 MHz,16 MB,VL,Win.: 23.178 Second
> 80486 50 MHz,16 MB,ISA,DOS: 25.540 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 27.770 Second
> 80486 33 MHz,16 MB,ISA,Win.: 33.010 Second
> 80486 33 MHz,16 MB,ISA,DOS: 38.380 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 38.810 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 39.280 Second
> Apple Quadra 650, 20 MB RAM: 40.316 Second
> Apple Quadra 700: 53.333 Second
> Apple Centris 610,12 MB (no Coprocessor): 61.517 Second
> Apple IIvx,20 MB: 96.066 Second
> Apple LC III,8 MB (no Coprocessor): 106.250 Second
> Apple LC,8 MB (no Coprocessor): 188.117 Second
>
> hil = Table[1/(i+j-1), {i,30}, {j,30}];
> Timing[Det[hil]]
>
> PENTIUM 90,32 MB,Win. NT 3.51: 3.274 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 3.515 Second
> PENTIUM 90,32 MB,Win. 3.11: 3.570 Second
> PENTIUM 90,32 MB,DOS: 3.790 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 3.850 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 4.032 Second
> Apple PowerMAC 6100/60: 4.049 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 4.998 Second
> PENTIUM 90,32 MB,OS/2 3.0: 4.157 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 5.163 Second
> 80486 DX/4-100,32 MB,DOS: 5.220 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 5.280 Second
> HP 9000/715-50: 6.440 Second
> HP 9000/700: 6.680 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 7.150 Second
> 80486 50 MHz,16 MB,ISA,Win.: 9.557 Second
> 80486 50 MHz,16 MB,ISA,DOS: 9.730 Second
> 80486 50 MHz,16 MB,VL,Win.: 10.655 Second
> 80486 33 MHz,16 MB,ISA,Win.: 13.621 Second
> 80486 33 MHz,16 MB,ISA,DOS: 14.010 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 14.300 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 14.410 Second
> Apple Quadra 650, 20 MB RAM: 20.150 Second
> Apple Quadra 700: 24.300 Second
> Apple Centris 610,12 MB (no Coprocessor): 39.183 Second
> Apple IIvx,20 MB: 62.450 Second
> Apple LC III,8 MB (no Coprocessor): 94.450 Second
> Apple LC,8 MB (no Coprocessor): 216.550 Second
>
> Timing[ListPlot[Table[Prime[i],{i,10000}],PlotJoined->True]]
>
> PENTIUM 90,32 MB,OS/2 3.0: 3.719 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 4.093 Second
> HP 9000/715-50: 4.130 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 4.460 Second
> Apple PowerMAC 6100/60: 4.483 Second
> HP 9000/700: 4.700 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 4.724 Second
> PENTIUM 90,32 MB,Win. 3.11: 4.889 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 6.170 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 7.150 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 7.470 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 9.280 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 10.305 Second
> 80486 50 MHz,16 MB,ISA,Win.: 11.864 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 12.630 Second
> 80486 33 MHz,16 MB,ISA,Win.: 16.807 Second
> PENTIUM 90,32 MB,DOS: 19.500 Second
> Apple Quadra 650, 20 MB: 21.000 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 22.160 Second
> 80486 50 MHz,16 MB,VL,Win.: 23.893 Second
> 80486 DX/4-100,32 MB,DOS: 25.380 Second
> Apple Quadra 700: 27.300 Second
> 80486 33 MHz,16 MB,ISA,DOS: 34.000 Second
> Apple Centris 610,12 MB (no Coprocessor): 37.467 Second
> 80486 50 MHz,16 MB,ISA,DOS: 41.740 Second
> Apple IIvx,20 MB: 72.750 Second
> Apple LC III,8 MB (no Coprocessor): 88.380 Second
> Apple LC,8 MB (no Coprocessor): 211.533 Second
>
> Timing[N[Pi,3500]]
>
> PENTIUM 90,32 MB,Win. NT 3.51: 1.061 Second
> PENTIUM 90,32 MB,OS/2 3.0: 1.094 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 1.098 Second
> PENTIUM 90,32 MB,Win. 3.11: 1.098 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 1.264 Second
> Apple PowerMAC 6100/60: 1.299 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 1.318 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 1.344 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 1.430 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 1.750 Second
> HP 9000/715-50: 1.840 Second
> PENTIUM 90,32 MB,DOS: 2.030 Second
> 80486 DX/4-100,32 MB,DOS: 2.410 Second
> 80486 50 MHz,16 MB,ISA,Win.: 3.570 Second
> 80486 50 MHz,16 MB,VL,Win.: 3.625 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 3.720 Second
> 80486 33 MHz,16 MB,ISA,Win.: 5.210 Second
> 80486 50 MHz,16 MB,ISA,DOS: 5.600 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 6.250 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 6.250 Second
> Apple Quadra 650, 20 MB RAM: 7.283 Second
> 80486 33 MHz,16 MB,ISA,DOS: 7.300 Second
> Apple Quadra 700: 9.780 Second
> Apple Centris 610,12 MB (no Coprocessor): 14.933 Second
> Apple IIvx,20 MB: 20.833 Second
> Apple LC III,8 MB (no Coprocessor): 31.800 Second
> Apple LC,8 MB (no Coprocessor): 67.183 Second
>
> First[Timing[Eigenvalues[Table[Random[],{200},{200}]]]]
>
> PENTIUM 90,32 MB,OS/2 3.0: 9.375 Second
> PENTIUM 90,32 MB,Win. 3.11: 9.447 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 9.557 Second
> HP 9000/715-50: 10.060 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 10.355 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 10.880 Second
> HP 9000/700: 11.950 Second
> Apple PowerMAC 6100/60: 13.217 Second
> PENTIUM 90,32 MB,DOS: 15.550 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 19.993 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 21.640 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 22.531 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 23.340 Second
> 80486 DX/4-100,32 MB,DOS: 23.950 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 38.180 Second
> 80486 50 MHz,16 MB,VL,Win.: 38.228 Second
> 80486 50 MHz,16 MB,ISA,Win.: 39.161 Second
> 80486 50 MHz,16 MB,ISA,DOS: 47.400 Second
> 80486 33 MHz,16 MB,ISA,Win.: 55.584 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 64.900 Second
> 80486 33 MHz,16 MB,ISA,DOS: 68.770 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 75.030 Second
> Apple Quadra 700: 114.500 Second
> Apple Quadra 650, 20 MB RAM: 360,100 Second
> Apple IIvx,20 MB: 461.083 Second
> Apple Centris 610,12 MB (no Coprocessor):2267.750 Second
> Apple LC III,8 MB (no Coprocessor): > 3 hours
> Apple LC,8 MB (no Coprocessor): > 3 hours
>
> Timing[Factor[x^92259-1];]
>
> PENTIUM 90,32 MB,Win. NT 3.51: 2.614 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 2.910 Second
> PENTIUM 90,32 MB,OS/2 3.0: 3.031 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 3.076 Second
> PENTIUM 90,32 MB,Win. 3.11: 3.158 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 3.187 Second
> HP 9000/715-50: 3.400 Second
> PENTIUM 90,32 MB,DOS: 3.570 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 3.850 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 3.900 Second
> HP 9000/700: 3.990 Second
> 80486 DX/4-100,32 MB,DOS: 4.720 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 4.724 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 4.980 Second
> Apple PowerMAC 6100/60: 6.150 Second
> 80486 50 MHz,16 MB,VL,Win.: 8.349 Second
> 80486 50 MHz,16 MB,ISA,DOS: 8.960 Second
> 80486 50 MHz,16 MB,ISA,Win.: 9.063 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 9.190 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 9.250 Second
> 80486 33 MHz,16 MB,ISA,DOS: 9.940 Second
> Apple Quadra 650, 20 MB RAM: 10.317 Second
> 80486 33 MHz,16 MB,ISA,Win.: 10.820 Second
> Apple Quadra 700: 15.830 Second
> Apple Centris 610,12 MB (no Coprocessor): 16.050 Second
> Apple IIvx,20 MB: 43.150 Second
> Apple LC III,8 MB (no Coprocessor): 43.500 Second
> Apple LC,8 MB (no Coprocessor): 111.933 Second
>
> Timing[Integrate[1/(1-x^3),x]]]
>
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 0.110 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 0.125 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 0.164 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 1.002 Second
> HP 9000/715-50: 1.090 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 1.190 Second
> HP 9000/700: 1.230 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 1.320 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 1.410 Second
> PENTIUM 90,32 MB,Win. 3.11: 1.483 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 2.087 Second
> Apple PowerMAC 6100/60: 2.199 Second
> PENTIUM 90,32 MB,OS/2 3.0: 2.437 Second
> 80486 50 MHz,16 MB,VL,Win.: 2.911 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 3.090 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 3.150 Second
> PENTIUM 90,32 MB,DOS: 3.240 Second
> 80486 50 MHz,16 MB,ISA,Win.: 3.515 Second
> 80486 DX/4-100,32 MB,DOS: 4.010 Second
> 80486 33 MHz,16 MB,ISA,Win.: 4.229 Second
> Apple Quadra 650, 20 MB RAM: 4.600 Second
> Apple Quadra 700: 6.200 Second
> Apple Centris 610,12 MB (no Coprocessor): 6.567 Second
> 80486 33 MHz,16 MB,ISA,DOS: 6.750 Second
> 80486 50 MHz,16 MB,ISA,DOS: 11.100 Second
> Apple LC III,8 MB (no Coprocessor): 16.783 Second
> Apple IIvx,20 MB: 17.783 Second
> Apple LC,8 MB (no Coprocessor): 36.367 Second
>
> Timing[ParametricPlot3D[{r Cos[Cos[r]]Cos[psi], r Cos[Cos[r]]Sin[psi],r
> Sin[Cos[r]]},{r,0.001,9Pi/2+0.001}, {psi,0,3Pi/2},PlotPoints->{72,24}]]
>
> PENTIUM 90,32 MB,OS/2 3.0: 6.719 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 7.470 Second
> HP 9000/715-50: 7.660 Second
> PENTIUM 90,32 MB,Win. 3.11: 7.854 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 9.090 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 10.094 Second
> Apple PowerMAC 6100/60: 11.417 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 12.028 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 13.120 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 14.150 Second
> HP 9000/700: 15.540 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 18.340 Second
> 80486 50 MHz,16 MB,ISA,Win.: 21.915 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 26.244 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 26.970 Second
> 80486 33 MHz,16 MB,ISA,Win.: 33.339 Second
> PENTIUM 90,32 MB,DOS: 36.030 Second
> 80486 DX/4-100,32 MB,DOS: 41.860 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 43.690 Second
> Apple Quadra 700: 43.750 Second
> 80486 50 MHz,16 MB,VL,Win.: 53.442 Second
> Apple Quadra 650, 20 MB RAM: 75.183 Second
> 80486 50 MHz,16 MB,ISA,DOS: 95.460 Second
> 80486 33 MHz,16 MB,ISA,DOS: 112.380 Second
> Apple IIvx,20 MB: 130.567 Second
> Apple Centris 610,12 MB (no Coprocessor): 246.217 Second
> Apple LC III,8 MB (no Coprocessor): 622.100 Second
> Apple LC,8 MB (no Coprocessor): 1473.770 Second
>
> bx = 6 Cos[u] (1 + Sin[u]);by = 16 Sin[u];rad = 4 (1 - Cos[u] / 2);
> X = If[Pi < u <= 2 Pi, bx + rad Cos[v + Pi], bx + rad Cos[u] Cos[v]];
> Y = If[Pi < u <= 2 Pi, by,by + rad Sin[u] Cos[v]];
> Z = rad Sin[v];
> Timing[ParametricPlot3D[{X, Y, Z},{u, 0, 2 Pi}, {v, 0, 2 Pi},PlotPoints ->
> {48,12},Axes -> False,Boxed -> False,ViewPoint-> {1.4, -2.6, -1.7}];]
>
> PENTIUM 90,32 MB,OS/2 3.0: 5.812 Second
> PENTIUM 90,32 MB,Win. 3.11: 6.481 Second
> HP 9000/715-50: 6.730 Second
> 80486 DX/4-100,32 MB,OS/2 3.0: 6.750 Second
> PENTIUM 90,32 MB,OS/2 3.0-Win.: 6.811 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-Win.: 7.060 Second
> HP 9000/700: 7.800 Second
> PENTIUM 90,32 MB,OS/2 3.0-DOS: 9.070 Second
> Apple PowerMAC 6100/60: 9.200 Second
> 80486 DX/4-100,32 MB,Win. 3.11: 9.333 Second
> 80486 50 MHz,16 MB,ISA,LINUX: 10.180 Second
> PENTIUM 90,32 MB,Win. NT 3.51: 11.006 Second
> 80486 DX/4-100,32 MB,OS/2 3.0-DOS: 11.530 Second
> 80486 50 MHz,16 MB,ISA,Win.: 15.818 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.: 17.500 Second
> 80486 50 MHz,16 MB,VL,Win.: 20.267 Second
> PENTIUM 90,32 MB,DOS: 23.560 Second
> 80486 33 MHz,16 MB,ISA,Win.: 23.619 Second
> 80486 DX/4-100,32 MB,DOS: 25.820 Second
> 80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS: 26.750 Second
> Apple Quadra 700: 39.930 Second
> Apple Quadra 650, 20 MB RAM: 43.500 Second
> 80486 50 MHz,16 MB,ISA,DOS: 68.500 Second
> Apple IIvx,20 MB: 96.100 Second
> 80486 33 MHz,16 MB,ISA,DOS: 103.760 Second
> Apple Centris 610,12 MB (no Coprocessor): 126.500 Second
> Apple LC III,8 MB (no Coprocessor): 318.983 Second
> Apple LC,8 MB (no Coprocessor): 742.150 Second
>
> -------------------------------------------------------------------------------
> [Send EMail] [Scientific Web Homepage][Internetadressliste Homepage]
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> Stefan Steinhaus, stst at informatik.uni-frankfurt.de
http://www.uni-frankfurt.de/~stst/mathstef.html