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MathGroup Archive 1995

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Scientific Web - Speedcomparison Mathematica 2

  • Subject: [mg2609] Scientific Web - Speedcomparison Mathematica 2
  • From: stst at informatik.uni-frankfurt.de (Stefan Steinhaus)
  • Date: Mon, 27 Nov 1995 21:35:55 -0500
  • Approved: usenet@wri.com
  • Distribution: local
  • Newsgroups: wri.mathgroup
  • Organization: Wolfram Research, Inc.

>                  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]
> [My Homepage]
> Stefan Steinhaus, stst at informatik.uni-frankfurt.de
http://www.uni-frankfurt.de/~stst/mathstef.html




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