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MathGroup Archive 1996

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Speedcomparison of Mathematica on various OS platforms

  • To: mathgroup at smc.vnet.net
  • Subject: [mg3674] Speedcomparison of Mathematica on various OS platforms
  • From: Stefan Steinhaus <stst at informatik.uni-frankfurt.de>
  • Date: Fri, 5 Apr 1996 02:51:42 -0500
  • Organization: University of Frankfurt
  • Sender: owner-wri-mathgroup at wolfram.com

Comparison of Mathematica on Various Machines



Author : Stefan Steinhaus (UNI Frankfurt)
E-Mail : stst at informatik.uni-frankfurt.de 

Date : März 30, 1996 

This document could be found under the following addresses:
http://www.uni-frankfurt.de/~stst/mathstef.html


This is the latest version of Mathematica timing tests; (further results
are welcome: stst at informatik.uni-frankfurt.de). 

New results:

       Apple PowerMAC 6100/66,20 MB,256k cache
       SGI Iris Crimson,128 MB
       Power Computing Powerwave 604/132,24 MB
       Diamond-PENTIUM 75,16 MB,DOS 6.2



Timing[3^10000;]

       Powerwave 604/132,24 MB:                    0.016 Seconds
       Apple PowerMAC 8500:                        0.017 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        0.017 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   0.017 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   0.017 Seconds
       Apple PowerMAC 7200/90, 24 MB:              0.030 Seconds
       SUN Ultra 1/170, 64 MB:                     0.030 Seconds
       SGI Iris Crimson,128 MB:                    0.040 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              0.040 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            0.050 Seconds
       PENTIUM 90,32 MB,DOS:                       0.050 Seconds
       SUN Ultra 170E, 128 MB RAM:                 0.050 Seconds
       80486 DX/4-100,32 MB,DOS:                   0.050 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             0.055 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 0.055 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             0.055 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              0.060 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           0.060 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          0.060 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  0.062 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              0.062 Seconds
       Apple PowerMAC 6100/66,20 MB:               0.066 Seconds
       Apple PowerMAC 6100/60:                     0.067 Seconds
       HP 9000/700:                                0.090 Seconds
       HP 9000/715-50:                             0.090 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         0.090 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:        0.164 Seconds
       80486 50 MHz,16 MB,VL,Win.:                 0.165 Seconds
       80486 50 MHz,16 MB,ISA,Win.:                0.165 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                 0.170 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               0.170 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:            0.217 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB:  0.250 Seconds
       80486 33 MHz,16 MB,ISA,Win.:                0.275 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                 0.280 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:        0.280 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:       0.280 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:             0.313 Seconds
       Apple Quadra 650, 20 MB RAM:                0.316 Seconds
       Apple Quadra 700:                           0.400 Seconds
       Apple Centris 610,12 MB (no Coprocessor):   0.450 Seconds
       Apple IIvx,20 MB:                           0.883 Seconds
       Apple LC III,8 MB (no Coprocessor):         1.000 Seconds
       Apple LC,8 MB (no Coprocessor):             2.017 Seconds


Timing[10000!;] 

       SUN Ultra 170E, 128 MB RAM:                 0.516 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   1.067 Seconds
       Powerwave 604/132,24 MB:                    2.083 Seconds
       Apple PowerMAC 8500:                        2.333 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   2.733 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        2.783 Seconds
       SUN Ultra 1/170, 64 MB:                     5.060 Seconds
       Apple PowerMAC 7200/90, 24 MB:              5.266 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  5.782 Seconds
       SGI Iris Crimson,128 MB:                    5.840 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            5.866 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 6.097 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             6.151 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              6.920 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             7.250 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         7.305 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              7.343 Seconds
       Apple PowerMAC 6100/66,20 MB:               7.400 Seconds
       PENTIUM 90,32 MB,DOS:                       7.640 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              7.780 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           9.110 Seconds
       80486 DX/4-100,32 MB,DOS:                   9.550 Seconds
       Apple PowerMAC 6100/60:                     9.567 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          9.720 Seconds
       HP 9000/715-50:                            11.790 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       16.074 Seconds
       80486 50 MHz,16 MB,ISA,Win.:               22.191 Seconds
       80486 50 MHz,16 MB,VL,Win.:                23.178 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                25.540 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:              27.770 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           31.183 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               33.010 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            34.937 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                38.380 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       38.810 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      39.280 Seconds
       Apple Quadra 650, 20 MB RAM:               40.316 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB: 43.267 Seconds
       Apple Quadra 700:                          53.333 Seconds
       Apple Centris 610,12 MB (no Coprocessor):  61.517 Seconds
       Apple IIvx,20 MB:                          96.066 Seconds
       Apple LC III,8 MB (no Coprocessor):       106.250 Seconds
       Apple LC,8 MB (no Coprocessor):           188.117 Seconds


hil = Table[1/(i+j-1), {i,30}, {j,30}];
Timing[Det[hil]]

       Powerwave 604/132,24 MB:                    1.217 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        1.300 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   1.300 Seconds
       Apple PowerMAC 8500:                        1.333 Seconds
       SUN Ultra 1/170, 64 MB:                     1.720 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            1.950 Seconds
       SUN Ultra 170E, 128 MB RAM:                 2.716 Seconds
       Apple PowerMAC 7200/90, 24 MB:              2.800 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              3.064 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             3.515 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 3.570 Seconds
       Apple PowerMAC 6100/66,20 MB:               3.700 Seconds
       PENTIUM 90,32 MB,DOS:                       3.790 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   3.833 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              3.850 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              4.032 Seconds
       Apple PowerMAC 6100/60:                     4.049 Seconds
       SGI Iris Crimson,128 MB:                    4.270 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           4.440 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         4.998 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  4.157 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             5.163 Seconds
       80486 DX/4-100,32 MB,DOS:                   5.220 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          5.280 Seconds
       HP 9000/715-50:                             6.440 Seconds
       HP 9000/700:                                6.680 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               7.150 Seconds
       80486 50 MHz,16 MB,ISA,Win.:                9.557 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                 9.730 Seconds
       80486 50 MHz,16 MB,VL,Win.:                10.655 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       11.144 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            12.156 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               13.621 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                14.010 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       14.300 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      14.410 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           15.200 Seconds
       Apple Quadra 650, 20 MB RAM:               20.150 Seconds
       Apple Quadra 700:                          24.300 Seconds
       Apple Centris 610,12 MB (no Coprocessor):  39.183 Seconds
       Apple IIvx,20 MB:                          62.450 Seconds
       Apple LC III,8 MB (no Coprocessor):        94.450 Seconds
       Apple LC,8 MB (no Coprocessor):           216.550 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB: > 10 min.


Timing[ListPlot[Table[Prime[i],{i,10000}],PlotJoined->True]] 

       Diamond PENTIUM 75,16 MB,DOS 6.2:           0.290 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   0.717 Seconds
       SUN Ultra 1/170, 64 MB:                     1.090 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            1.500 Seconds
       Apple PowerMAC 8500:                        1.733 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        1.817 Seconds
       SUN Ultra 170E, 128 MB RAM:                 1.866 Seconds
       Powerwave 604/132,24 MB:                    1.883 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   2.667 Seconds
       SGI Iris Crimson,128 MB:                    2.740 Seconds
       Apple PowerMAC 7200/90, 24 MB:              2.783 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  3.719 Seconds
       Apple PowerMAC 6100/66,20 MB:               3.950 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              4.093 Seconds
       HP 9000/715-50:                             4.130 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         4.460 Seconds
       Apple PowerMAC 6100/60:                     4.483 Seconds
       HP 9000/700:                                4.700 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             4.724 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 4.889 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              5.678 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               6.170 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB:  6.600 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              7.150 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             7.470 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          9.280 Seconds
       80486 50 MHz,16 MB,ISA,Win.:               11.864 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      12.630 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            13.437 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           16.017 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               16.807 Seconds
       PENTIUM 90,32 MB,DOS:                      19.500 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       19.674 Seconds
       Apple Quadra 650, 20 MB:                   21.000 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       22.160 Seconds
       80486 50 MHz,16 MB,VL,Win.:                23.893 Seconds
       80486 DX/4-100,32 MB,DOS:                  25.380 Seconds
       Apple Quadra 700:                          27.300 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                34.000 Seconds
       Apple Centris 610,12 MB (no Coprocessor):  37.467 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                41.740 Seconds
       Apple IIvx,20 MB:                          72.750 Seconds
       Apple LC III,8 MB (no Coprocessor):        88.380 Seconds
       Apple LC,8 MB (no Coprocessor):           211.533 Seconds


Timing[N[Pi,3500]]

       SUN Ultra 170E, 128 MB RAM:                 0.000 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   0.133 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        0.283 Seconds
       Powerwave 604/132,24 MB:                    0.283 Seconds
       Apple PowerMAC 8500:                        0.300 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   0.383 Seconds
       SUN Ultra 1/170, 64 MB:                     0.770 Seconds
       Apple PowerMAC 7200/90, 24 MB:              0.783 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            0.800 Seconds
       SGI Iris Crimson,128 MB:                    1.010 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              1.061 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  1.094 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             1.098 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 1.098 Seconds
       Apple PowerMAC 6100/66,20 MB:               1.183 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             1.264 Seconds
       Apple PowerMAC 6100/60:                     1.299 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         1.318 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              1.344 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              1.430 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           1.700 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          1.750 Seconds
       HP 9000/715-50:                             1.840 Seconds
       PENTIUM 90,32 MB,DOS:                       2.030 Seconds
       80486 DX/4-100,32 MB,DOS:                   2.410 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:        2.760 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB:  3.267 Seconds
       80486 50 MHz,16 MB,ISA,Win.:                3.570 Seconds
       80486 50 MHz,16 MB,VL,Win.:                 3.625 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               3.720 Seconds
       80486 33 MHz,16 MB,ISA,Win.:                5.210 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                 5.600 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:        6.250 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:       6.250 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:             6.781 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:            7.033 Seconds
       Apple Quadra 650, 20 MB RAM:                7.283 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                 7.300 Seconds
       Apple Quadra 700:                           9.780 Seconds
       Apple Centris 610,12 MB (no Coprocessor):  14.933 Seconds
       Apple IIvx,20 MB:                          20.833 Seconds
       Apple LC III,8 MB (no Coprocessor):        31.800 Seconds
       Apple LC,8 MB (no Coprocessor):            67.183 Seconds


First[Timing[Eigenvalues[Table[Random[],{200},{200}]]]]

       SUN Ultra 1/170, 64 MB:                     3.850 Seconds
       SUN Ultra 170E, 128 MB RAM:                 3.850 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   4.200 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        4.683 Seconds
       Powerwave 604/132,24 MB:                    4.833 Seconds
       Apple PowerMAC 8500:                        4.983 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            6.250 Seconds
       Apple PowerMAC 7200/90, 24 MB:              8.600 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  9.375 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 9.447 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             9.557 Seconds
       HP 9000/715-50:                            10.060 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:             10.114 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:             10.880 Seconds
       SGI Iris Crimson,128 MB:                   10.980 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:  11.283 Seconds
       Apple PowerMAC 6100/66,20 MB:              11.500 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:          11.590 Seconds
       HP 9000/700:                               11.950 Seconds
       Apple PowerMAC 6100/60:                    13.217 Seconds
       PENTIUM 90,32 MB,DOS:                      15.550 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:            19.993 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:        21.640 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:             22.531 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:         23.340 Seconds
       80486 DX/4-100,32 MB,DOS:                  23.950 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       27.463 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:              38.180 Seconds
       80486 50 MHz,16 MB,VL,Win.:                38.228 Seconds
       80486 50 MHz,16 MB,ISA,Win.:               39.161 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB: 41.533 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                47.400 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               55.584 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       64.900 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            64.969 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                68.770 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           73.333 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      75.030 Seconds
       Apple Quadra 700:                         114.500 Seconds
       Apple Quadra 650, 20 MB RAM:              360,100 Seconds
       Apple IIvx,20 MB:                         461.083 Seconds
       Apple Centris 610,12 MB (no Coprocessor):2267.750 Seconds
       Apple LC III,8 MB (no Coprocessor):            > 3 hours
       Apple LC,8 MB (no Coprocessor):                > 3 hours


Timing[Factor[x^92259-1];]

       SUN Ultra 170E, 128 MB RAM:                 0.850 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   0.900 Seconds
       Powerwave 604/132,24 MB:                    0.900 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        0.967 Seconds
       Apple PowerMAC 8500:                        1.033 Seconds
       Apple PowerMAC 7200/90, 24 MB:              1.650 Seconds
       SUN Ultra 1/170, 64 MB:                     1.770 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              2.273 Seconds
       Apple PowerMAC 6100/66,20 MB:               2.367 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            2.433 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              2.910 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  3.031 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   3.067 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             3.076 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 3.158 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              3.187 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           3.240 Seconds
       HP 9000/715-50:                             3.400 Seconds
       PENTIUM 90,32 MB,DOS:                       3.570 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          3.850 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         3.900 Seconds
       HP 9000/700:                                3.990 Seconds
       80486 DX/4-100,32 MB,DOS:                   4.720 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             4.724 Seconds
       SGI Iris Crimson,128 MB:                    4.880 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               4.980 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB:  5.900 Seconds
       Apple PowerMAC 6100/60:                     6.150 Seconds
       80486 50 MHz,16 MB,VL,Win.:                 8.349 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                 8.960 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:             9.031 Seconds
       80486 50 MHz,16 MB,ISA,Win.:                9.063 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:        9.190 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:       9.250 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:            9.733 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                 9.940 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:        9.941 Seconds
       Apple Quadra 650, 20 MB RAM:               10.317 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               10.820 Seconds
       Apple Quadra 700:                          15.830 Seconds
       Apple Centris 610,12 MB (no Coprocessor):  16.050 Seconds
       Apple IIvx,20 MB:                          43.150 Seconds
       Apple LC III,8 MB (no Coprocessor):        43.500 Seconds
       Apple LC,8 MB (no Coprocessor):           111.933 Seconds


Timing[Integrate[1/(1-x^3),x]]

       SUN Ultra 1/170, 64 MB:                     0.010 Seconds
       DECserver 8400, Alpha-AXP 21164, 300 MHz:   0.033 Seconds
       Apple PowerMAC 8500:                        0.067 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             0.110 Seconds
       SGI Iris Crimson,128 MB:                    0.120 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              0.125 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   0.150 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         0.164 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB:  0.183 Seconds
       SUN Ultra 170E, 128 MB RAM:                 0.266 Seconds
       Powerwave 604/132,24 MB:                    0.716 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        0.733 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              0.821 Seconds
       Apple PowerMAC 7200/90, 24 MB:              0.933 Seconds
       HP 9000/715-50:                             1.090 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              1.190 Seconds
       HP 9000/700:                                1.230 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:               1.320 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:          1.410 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 1.483 Seconds
       Apple PowerMAC 6100/66,20 MB:               1.550 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           1.590 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             2.087 Seconds
       Apple PowerMAC 6100/60:                     2.199 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  2.437 Seconds
       80486 50 MHz,16 MB,VL,Win.:                 2.911 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:       3.090 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:        3.150 Seconds
       PENTIUM 90,32 MB,DOS:                       3.240 Seconds
       80486 50 MHz,16 MB,ISA,Win.:                3.515 Seconds
       80486 DX/4-100,32 MB,DOS:                   4.010 Seconds
       80486 33 MHz,16 MB,ISA,Win.:                4.229 Seconds
       Apple Quadra 650, 20 MB RAM:                4.600 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:        4.844 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:            5.517 Seconds
       Apple Quadra 700:                           6.200 Seconds
       Apple Centris 610,12 MB (no Coprocessor):   6.567 Seconds
       80486 33 MHz,16 MB,ISA,DOS:                 6.750 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:             9.469 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                11.100 Seconds
       Apple LC III,8 MB (no Coprocessor):        16.783 Seconds
       Apple IIvx,20 MB:                          17.783 Seconds
       Apple LC,8 MB (no Coprocessor):            36.367 Seconds


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}]]

       DECserver 8400, Alpha-AXP 21164, 300 MHz:   1.467 Seconds
       SUN Ultra 1/170, 64 MB:                     2.070 Seconds
       Powerwave 604/132,24 MB:                    3.067 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            3.217 Seconds
       SUN Ultra 170E, 128 MB RAM:                 3.400 Seconds
       Powerwave 604/132,24 MB:                    3.883 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        3.917 Seconds
       Apple PowerMAC 8500:                        4.033 Seconds
       SGI Iris Crimson,128 MB:                    4.870 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   5.067 Seconds
       Apple PowerMAC 7200/90, 24 MB:              6.450 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  6.719 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             7.470 Seconds
       HP 9000/715-50:                             7.660 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 7.854 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         9.090 Seconds
       Apple PowerMAC 6100/66,20 MB:               9.567 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:             10.094 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:             10.115 Seconds
       Apple PowerMAC 6100/60:                    11.417 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:            12.028 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:              13.120 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:          13.350 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:             14.150 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB: 15.117 Seconds
       HP 9000/700:                               15.540 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:         18.340 Seconds
       80486 50 MHz,16 MB,ISA,Win.:               21.915 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      26.970 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           29.133 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            30.719 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       32.676 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               33.339 Seconds
       PENTIUM 90,32 MB,DOS:                      36.030 Seconds
       80486 DX/4-100,32 MB,DOS:                  41.860 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       43.690 Seconds
       Apple Quadra 700:                          43.750 Seconds
       80486 50 MHz,16 MB,VL,Win.:                53.442 Seconds
       Apple Quadra 650, 20 MB RAM:               75.183 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                95.460 Seconds
       80486 33 MHz,16 MB,ISA,DOS:               112.380 Seconds
       Apple IIvx,20 MB:                         130.567 Seconds
       Apple Centris 610,12 MB (no Coprocessor): 246.217 Seconds
       Apple LC III,8 MB (no Coprocessor):       622.100 Seconds
       Apple LC,8 MB (no Coprocessor):          1473.770 Seconds


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}];]

       DECserver 8400, Alpha-AXP 21164, 300 MHz:   1.517 Seconds
       SUN Ultra 1/170, 64 MB:                     1.780 Seconds
       SUN Ultra 170E, 128 MB RAM:                 2.316 Seconds
       PENTIUM 133, 64 MB,NextStep 3.3:            2.600 Seconds
       Apple PowerMAC 9500/132, 128 MB RAM:        3.367 Seconds
       Apple PowerMAC 8500:                        3.500 Seconds
       Apple PowerMAC 7200/90, 24 MB:              4.866 Seconds
       SGI Iris Crimson,128 MB:                    4.970 Seconds
       DECserver 2100, Alpha-AXP 21064, 275 MHz:   5.467 Seconds
       PENTIUM 90,32 MB,OS/2 3.0:                  5.812 Seconds
       PENTIUM 90,32 MB,Win. NT 3.51:              6.470 Seconds
       PENTIUM 90,32 MB,Win. 3.11:                 6.481 Seconds
       HP 9000/715-50:                             6.730 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0:              6.750 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-Win.:             6.811 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-Win.:         7.060 Seconds
       HP 9000/700:                                7.800 Seconds
       Apple PowerMAC 6100/66,20 MB:               8.917 Seconds
       PENTIUM 90,32 MB,OS/2 3.0-DOS:              9.070 Seconds
       Apple PowerMAC 6100/60:                     9.200 Seconds
       80486 DX/4-100,32 MB,Win. 3.11:             9.333 Seconds
       Diamond PENTIUM 75,16 MB,DOS 6.2:           9.830 Seconds
       80486 50 MHz,16 MB,ISA,LINUX:              10.180 Seconds
       80486 DX/4-100,32 MB,OS/2 3.0-DOS:         11.530 Seconds
       NeXTstation Turbocolor,68040,33 MHz,16 MB: 12.050 Seconds
       80486 50 MHz,16 MB,ISA,Win.:               15.818 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-Win.:      17.500 Seconds
       80486 50 MHz,16 MB,VL,Win.:                20.267 Seconds
       80486 33 MHz,8 MB,ISA,OS/2 3.0:            23.375 Seconds
       Apple Quadra 840AV,40 MHz,16 MB:           23.517 Seconds
       PENTIUM 90,32 MB,DOS:                      23.560 Seconds
       80486 33 MHz,16 MB,ISA,Win.:               23.619 Seconds
       PENTIUM 100 MHz, 16 MB RAM, Win. 95:       25.217 Seconds
       80486 DX/4-100,32 MB,DOS:                  25.820 Seconds
       80486 33 MHz,16 MB,ISA,OS/2 2.1-DOS:       26.750 Seconds
       Apple Quadra 700:                          39.930 Seconds
       Apple Quadra 650, 20 MB RAM:               43.500 Seconds
       80486 50 MHz,16 MB,ISA,DOS:                68.500 Seconds
       Apple IIvx,20 MB:                          96.100 Seconds
       80486 33 MHz,16 MB,ISA,DOS:               103.760 Seconds
       Apple Centris 610,12 MB (no Coprocessor): 126.500 Seconds
       Apple LC III,8 MB (no Coprocessor):       318.983 Seconds
       Apple LC,8 MB (no Coprocessor):           742.150 Seconds



                                                                    Tested
by/on

 Overall Performance
 Index 

 (low is better) 
                                     Computer
                                                         MHz
                                                                RAM
                                                                             OS
                                                                                       Mma.
Version
                                                                                                                            Person
                      11,351 
                             DECserver 8400, Alpha-AXP
                             21164 
                                                          300
                                                                  ???
                                                                       Digital
Unix V3.2
                                                                                             2.2
                                                                                                      Alexander
Ebbes (ebbes at uni-mainz.de) 
                      15,830 
                             SUN Ultra 170E 
                                                          167
                                                                128 MB
                                                                          Solaris
2.5
                                                                                            2.2.3
                                                                                                      Tony
Maggs (tony at turner.espci.fr) 
                      18,150 
                             SUN Ultra 1/170 
                                                          167
                                                                64 MB
                                                                          Solaris
2.2
                                                                                             2.2
                                                                                                      Stephan
Kaufmann (kaufmann at ifm.mavt.ethz.ch) 
                      18,881 
                             Power Computing Powerwave
                             604/132 
                                                          133
                                                                24 MB
                                                                          System
7.5
                                                                                             2.2
                                                                                                      Brian
Aull (aull at ll.mit.edu) 
                      19,332 
                             Apple PowerMAC 8500 
                                                           ???
                                                                  ???
                                                                           System
7
                                                                                             2.2
                                                                                                      Colin
Rose (colinr at extro.ucc.su.oz.au) 
                      19,867 
                             Apple PowerMAC 9500/132 
                                                          133
                                                                128 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Ronald
Bruck (bruck at mtha.usc.edu) 
                      24,666 
                             PENTIUM 
                                                          133
                                                                64 MB
                                                                         NextStep
3.3
                                                                                             2.2
                                                                                                      Peter
C. Lichtner (lichtner at swri.com) 
                      34,161 
                             Apple PowerMAC 7200/90
                             (256k Cache) 
                                                           90
                                                                24 MB
                                                                          System
7.5
                                                                                             3.0
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      34,667 
                             DECserver 2100, Alpha-AXP
                             21064 
                                                          275
                                                                  ???
                                                                       Digital
Unix V3.2
                                                                                             2.2
                                                                                                      Alexander
Ebbes (ebbes at uni-mainz.de) 
                      39,720 
                             SGI Iris Crimson (CPU MIPS
                             R4000) 
                                                           ???
                                                                128 MB
                                                                         SGI
IRIX 5.2
                                                                                             2.2
                                                                                                      Dr.
Markus Krumme (markus.krumme at uni-tuebingen.de) 
                      42,188 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                          OS/2
Warp
                                                                                            2.2.4
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      42,567 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                          Win.-OS/2
                                                                         (OS/2-Warp)
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      44,132 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                          Win.
3.11
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      46,556 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                         Win.
NT 3.51
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      50,200 
                             Apple PowerMAC 6100/66
                             (256k cache) 
                                                           66
                                                                20 MB
                                                                         System
7.5.1
                                                                                             2.2
                                                                                                      Dr.
Markus Krumme (markus.krumme at uni-tuebingen.de) 
                      51,980 
                             HP 9000/700 
                                                           ???
                                                                  ???
                                                                           HP-UX
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      53,230 
                             HP 9000/715-50 
                                                           ???
                                                                  ???
                                                                           HP-UX
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      55,200 
                             Diamond PENTIUM 
                                                           75
                                                                16 MB
                                                                            DOS
                                                                                             2.2
                                                                                                      Jesus
Rojo (jesroj at wmatem.eis.uva.es) 
                      58,470 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                          OS/2-DOS
                                                                         (OS/2-Warp)
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      59,561 
                             80486/DX4-100 (PCI)
                             (256k cache) 
                                                          100
                                                                32 MB
                                                                          OS/2
Warp
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      60,025 
                             80486/DX4-100 (PCI)
                             (256k cache) 
                                                          100
                                                                32 MB
                                                                          Win.-OS/2
                                                                         (OS/2
Warp)
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      61,648 
                             Apple PowerMAC 6100/60 
                                                           60
                                                                  ???
                                                                           System
7
                                                                                             2.2
                                                                                                      WRI 
                      69,367 
                             80486/DX4-100 (PCI)
                             (256k cache) 
                                                          100
                                                                32 MB
                                                                          Win.
3.11
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                      84,560 
                             80486/DX4-100 (PCI)
                             (256k cache) 
                                                          100
                                                                32 MB
                                                                          OS/2-DOS
                                                                         (OS/2
Warp)
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     112,760 
                             80486 (ISA)
                             (256k cache) 
                                                           50
                                                                16 MB
                                                                           LINUX
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     114,960 
                             PENTIUM
                             (256k cache) 
                                                           90
                                                                32 MB
                                                                            DOS
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     136,819 
                             80486 (ISA)
                             (256k cache) 
                                                           50
                                                                16 MB
                                                                          Win.
3.11
                                                                                            2.2.3
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     142,970 
                             80486/DX4-100 (PCI)
                             (256k cache) 
                                                          100
                                                                32 MB
                                                                            DOS
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     149,957 
                             PENTIUM 
                                                          100
                                                                16 MB
                                                                           Win.
95
                                                                                            2.2.4
                                                                                                      Richard
Morey Porter (rmporter at unixg.ubc.ca) 
                     196,514 
                             80486 (ISA)
                             (256k cache) 
                                                           33
                                                                16 MB
                                                                          Win.
3.11
                                                                                            2.2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     204,690 
                             80486 (ISA)
                             (256k cache) 
                                                           33
                                                                16 MB
                                                                          Win-OS/2
                                                                         (OS/2
Warp)
                                                                                            2.2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     205,190 
                             80486 (ISA)
                             (256k cache) 
                                                           33
                                                                 8 MB
                                                                          OS/2
Warp
                                                                                            2.2.4
                                                                                                      Hans-Peter
Rangol (rangol at zoology.uni-frankfurt.de) 
                     210,880 
                             Apple Quadra 840AV 
                                                           40
                                                                16 MB
                                                                         System
7.5.1
                                                                                             2.2
                                                                                                      Dr.
Joseph C. Slater (jslater at valhalla.cs.wright.edu) 
                     229,480 
                             80486 (ISA)
                             (256k cache) 
                                                           33
                                                                16 MB
                                                                          OS/2-DOS
                                                                         (OS/2
Warp)
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     314,200 
                             80486 (ISA)
                             (256k cache) 
                                                           50
                                                                16 MB
                                                                            DOS
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     335,320 
                             Apple Quadra 700 
                                                           ???
                                                                  ???
                                                                           System
7
                                                                                             2.2
                                                                                                      WRI 
                     395,700 
                             80486 (ISA)
                             (256k cache) 
                                                           33
                                                                16 MB
                                                                            DOS
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     582,767 
                             Apple Quadra 650 
                                                           25
                                                                20 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                     728,167 
                             NeXTstation Turbocolor, 68040 
                                                           33
                                                                16 MB
                                                                         Nextstep
3.0
                                                                                             2.2
                                                                                                      Alessandro
Rossi (rossiale at unive.it) 
                    1001,665 
                             Apple IIvx 
                                                           ???
                                                                20 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                    1323,246 
                             Apple LC III (no coprocessor) 
                                                           ???
                                                                 8 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                    2816,634 
                             Apple Centris 610 (no
                             coprocessor) 
                                                           ???
                                                                12 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 
                    3049,620 
                             Apple LC (no coprocessor) 
                                                           ???
                                                                 8 MB
                                                                           System
7
                                                                                             2.2
                                                                                                      Stefan
Steinhaus (stst at informatik.uni-frankfurt.de) 




Stefan Steinhaus, stst at informatik.uni-frankfurt.de 

-- 
********************************************************************************
** UniversitÌt Frankfurt - Fachbereich Informatik (FB20)
**
** Stefan Steinhaus
**
** EMAIL : stst at informatik.uni-frankfurt.de
**
** WWW   : http://www.uni-frankfurt.de/~stst/ (Home of the scientific
webber) **
********************************************************************************

==== [MESSAGE SEPARATOR] ====


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