MathematicaMark6 Benchmark Report

({{"Machine Name:", "kutscher"}, {"System:", "Microsoft Windows (32-bit)"}, {"Date:", "November 12, 2008"}, {"Mathematica Version:", "6.0.3"}, {"Benchmark Result:", "0.20"}})

MathematicaMark6 Results

({{({{({{ }}), ({{MathematicaMark6, Detailed Timings}})}})}, {({{" ", "Total", "Test 1", "Test 2", "Test 3", "Test 4", "Test 5", "Test 6", "Test 7", "Test 8", "Test 9", "Test 10", "Test 11", "Test 12", "Test 13", "Test 14", "Test 15"}, {({{"2p dual-core 3.0 GHz Intel Xeon 5160"}, {"Microsoft Windows (32-bit)"}}), ({{"30.39"}}), ({{"2.08"}}), ({{"0.67"}}), ({{"1.09"}}), ({{"2.70"}}), ({{"4.03"}}), ({{"0.50"}}), ({{"0.89"}}), ({{"3.17"}}), ({{"2.00"}}), ({{"2.16"}}), ({{"2.41"}}), ({{"2.08"}}), ({{"1.50"}}), ({{"2.59"}}), ({{"2.52"}})}, {({{"2p dual-core 2.66 GHz Intel Xeon"}, {"Apple Mac OS 10.4.8 (64-bit)"}}), ({{"40.32"}}), ({{"1.75"}}), ({{"0.44"}}), ({{"1.85"}}), ({{"3.38"}}), ({{"11.75"}}), ({{"0.30"}}), ({{"0.52"}}), ({{"3.62"}}), ({{"2.07"}}), ({{"2.39"}}), ({{"2.41"}}), ({{"1.56"}}), ({{"1.71"}}), ({{"3.66"}}), ({{"2.91"}})}, {({{"2p quad-core 1.6 GHz Intel Xeon 5310"}, {"CentOS Linux 4.4 (32-bit)"}}), ({{"45.78"}}), ({{"2.01"}}), ({{"1.20"}}), ({{"0.93"}}), ({{"4.42"}}), ({{"8.32"}}), ({{"0.88"}}), ({{"1.54"}}), ({{"5.12"}}), ({{"1.61"}}), ({{"3.14"}}), ({{"3.91"}}), ({{"2.73"}}), ({{"3.37"}}), ({{"3.49"}}), ({{"3.12"}})}, {({{"2p 1.4 GHz Itanium 2"}, {"Red Hat Enterprise Linux AS 3.0 (64-bit)"}}), ({{"48.55"}}), ({{"3.82"}}), ({{"0.83"}}), ({{"1.39"}}), ({{"1.92"}}), ({{"2.80"}}), ({{"0.33"}}), ({{"0.76"}}), ({{"7.44"}}), ({{"3.29"}}), ({{"4.84"}}), ({{"7.11"}}), ({{"4.90"}}), ({{"2.90"}}), ({{"2.88"}}), ({{"3.34"}})}, {({{"2p 2.4 GHz Opteron 250"}, {"Sun Solaris 10 (64-bit)"}}), ({{"69.34"}}), ({{"3.92"}}), ({{"0.60"}}), ({{"3.68"}}), ({{"5.79"}}), ({{"15.35"}}), ({{"0.41"}}), ({{"0.90"}}), ({{"7.62"}}), ({{"4.32"}}), ({{"3.31"}}), ({{"4.27"}}), ({{"3.52"}}), ({{"5.68"}}), ({{"4.53"}}), ({{"5.45"}})}, {({{"2p dual-core 2.5 GHz G5"}, {"Apple Mac OS 10.4.8 (32-bit)"}}), ({{"70.59"}}), ({{"3.92"}}), ({{"1.25"}}), ({{"3.88"}}), ({{"4.53"}}), ({{"18.06"}}), ({{"0.81"}}), ({{"1.43"}}), ({{"6.39"}}), ({{"2.29"}}), ({{"4.96"}}), ({{"5.83"}}), ({{"4.64"}}), ({{"2.72"}}), ({{"6.02"}}), ({{"3.89"}})}, {({{"2.4 GHz Pentium 4"}, {"Microsoft Windows XP (32-bit)"}}), ({{"86.19"}}), ({{"5.05"}}), ({{"1.23"}}), ({{"3.00"}}), ({{"8.84"}}), ({{"7.50"}}), ({{"0.92"}}), ({{"1.63"}}), ({{"9.17"}}), ({{"8.78"}}), ({{"5.39"}}), ({{"6.17"}}), ({{"5.67"}}), ({{"4.51"}}), ({{"9.42"}}), ({{"8.90"}})}, {({{"4p 1 GHz Power 4"}, {"IBM AIX 5.3 (64-bit)"}}), ({{"163.75"}}), ({{"7.34"}}), ({{"1.56"}}), ({{"5.90"}}), ({{"9.20"}}), ({{"60.13"}}), ({{"0.94"}}), ({{"1.64"}}), ({{"10.15"}}), ({{"14.40"}}), ({{"3.30"}}), ({{"13.18"}}), ({{"6.99"}}), ({{"6.04"}}), ({{"10.46"}}), ({{"12.50"}})}, {({{"2p 1.28 GHz UltraSPARC III"}, {"Sun Solaris SPARC (64-bit)"}}), ({{"235.18"}}), ({{"12.01"}}), ({{"1.97"}}), ({{"9.66"}}), ({{"12.69"}}), ({{"45.34"}}), ({{"1.13"}}), ({{"2.43"}}), ({{"26.31"}}), ({{"32.34"}}), ({{"7.40"}}), ({{"19.71"}}), ({{"11.92"}}), ({{"5.91"}}), ({{"18.90"}}), ({{"27.47"}})}, {({{"2p 552 MHz PA-8600"}, {"HP HP-UX 11.11 (64-bit)"}}), ({{"405.53"}}), ({{"25.27"}}), ({{"3.92"}}), ({{"30.48"}}), ({{"9.76"}}), ({{"64.92"}}), ({{"33.08"}}), ({{"3.41"}}), ({{"49.54"}}), ({{"22.65"}}), ({{"28.23"}}), ({{"41.80"}}), ({{"24.05"}}), ({{"21.10"}}), ({{"23.99"}}), ({{"23.34"}})}, {({{">> kutscher <<"}, {"Microsoft Windows (32-bit)"}}), ({{"440.49"}}), ({{"19.16"}}), ({{"4.34"}}), ({{"10.49"}}), ({{"41.58"}}), ({{"37.95"}}), ({{"2.96"}}), ({{"6.31"}}), ({{"30.87"}}), ({{"89.91"}}), ({{"19.06"}}), ({{"20.71"}}), ({{"19.06"}}), ({{"12.36"}}), ({{"56.47"}}), ({{"69.26"}})}})}, {({{({{ }}), ({{"Timings are CPU time in seconds"}})}})}})

MathematicaMark6 Sources

Test 1: Data Fitting

Module[{data},Timing[data=Flatten[Table[{x,y,z,Log[120 x]-Abs[((Cos[(z/300)])/(140 y))]},{x,0.2`,10,0.22`},{y,0.2`,10,0.22`},{z,0.2`,10,0.22`}],2];FindFit[data,Log[a x]-Abs[((Cos[b z])/(c y))],{a,b,c},{x,y,z},AccuracyGoal->6];]]

Test 2: Digits of Pi

Timing[N[π,380000];]

Test 3: Discrete Fourier Transform

Module[{data},Timing[SeedRandom[1];data=RandomArray[Real,{},{600000}];Do[Fourier[data],{11}]]]

Test 4: Eigenvalues of a Matrix

Module[{a,b,m},Timing[SeedRandom[1];a=RandomArray[Real,{},{450,450}];b=DiagonalMatrix[RandomArray[Real,{},{450}]];m=a.b.Inverse[a];Do[Eigenvalues[m],{6}]]]

Test 5: Elementary Functions

Module[{m1,m2},Timing[SeedRandom[1];m1=RandomArray[Real,{},{2000000}];m2=RandomArray[Real,{},{2000000}];Do[(E^m1);Sin[m1];ArcTan[m1,m2],{30}]]]

Test 6: Gamma Function

Module[{a},Timing[SeedRandom[1];a=RandomArray[Integer,{80000,90000},{10}];Gamma[a]]]

Test 7: Large Integer Multiplication

Module[{a},Timing[SeedRandom[1];a=RandomArray[Integer,{(10^500000),(10^(500000+1))},{}];Do[a (a+1),{17}]]]

Test 8: Matrix Arithmetic

Module[{m},Timing[SeedRandom[1];m=RandomArray[Real,{},{1000,1000}];Do[(((1.`+0.5` m))^127),{50}];]]

Test 9: Matrix Multiplication

Module[{m1,m2},Timing[SeedRandom[1];m1=RandomArray[Real,{},{1100,1100}];m2=RandomArray[Real,{},{1100,1100}];Do[m1.m2,{12}]]]

Test 10: Matrix Transpose

Module[{m},Timing[SeedRandom[1];m=RandomArray[Real,{},{2000,2000}];Do[Transpose[m],{40}]]]

Test 11: Numerical Integration

Timing[NIntegrate[Sin[(x^2)+(y^2)],{x,-(1.75` π),1.75` π},{y,-(1.75` π),1.75` π}];]

Test 12: Polynomial Expansion

Timing[Expand[Times@@Table[(((c+x))^3),{c,405}]];]

Test 13: Random Number Sort

Module[{a},Timing[SeedRandom[1];a=RandomArray[Integer,{1,50000},{460000}];Do[Sort[a],{15}]]]

Test 14: Singular Value Decomposition

Module[{m},Timing[SeedRandom[1];m=RandomArray[Real,{},{850,850}];Do[SingularValueDecomposition[m],{2}]]]

Test 15: Solving a Linear System

Module[{m,v},Timing[SeedRandom[1];m=RandomArray[Real,{},{1200,1200}];v=RandomArray[Real,{},{1200}];Do[LinearSolve[m,v],{16}]]]

[Plain Text Version]

=== System Information ===

Machine Name:          kutscher
System:                Microsoft Windows (32-bit)
Date:                  November 12, 2008
Mathematica Version:   6.0.3
Benchmark Result:      0.20


=== MathematicaMark6 System Comparison ===

2p dual-core 3.0 GHz Intel Xeon 5160       2.84
Microsoft Windows (32-bit)

2p dual-core 2.66 GHz Intel Xeon           2.14
Apple Mac OS 10.4.8 (64-bit)

2p quad-core 1.6 GHz Intel Xeon 5310       1.88
CentOS Linux 4.4 (32-bit)

2p 1.4 GHz Itanium 2                       1.78
Red Hat Enterprise Linux AS 3.0 (64-bit)

2p 2.4 GHz Opteron 250                     1.24
Sun Solaris 10 (64-bit)

2p dual-core 2.5 GHz G5                    1.22
Apple Mac OS 10.4.8 (32-bit)

2.4 GHz Pentium 4                          1.00
Microsoft Windows XP (32-bit)

4p 1 GHz Power 4                           0.53
IBM AIX 5.3 (64-bit)

2p 1.28 GHz UltraSPARC III                 0.37
Sun Solaris SPARC (64-bit)

2p 552 MHz PA-8600                         0.21
HP HP-UX 11.11 (64-bit)

kutscher                                   0.20
Microsoft Windows (32-bit)

(Faster systems give larger numbers)


=== MathematicaMark6 Detailed Timings ===

                                          Total  Test 1  Test 2  Test 3  Test 4  Test 5  Test 6  Test 7  Test 8  Test 9  Test 10  Test 11  Test 12  Test 13  Test 14  Test 15

2p dual-core 3.0 GHz Intel Xeon 5160
Microsoft Windows (32-bit)                30.4   2.08    0.67    1.09    2.70    4.03    0.50    0.89    3.17    2.00    2.16     2.41     2.08     1.50     2.59     2.52

2p dual-core 2.66 GHz Intel Xeon
Apple Mac OS 10.4.8 (64-bit)              40.3   1.75    0.44    1.85    3.38    11.70   0.30    0.52    3.62    2.07    2.39     2.41     1.56     1.71     3.66     2.91

2p quad-core 1.6 GHz Intel Xeon 5310
CentOS Linux 4.4 (32-bit)                 45.8   2.01    1.20    0.93    4.42    8.32    0.88    1.54    5.12    1.61    3.14     3.91     2.73     3.37     3.49     3.12

2p 1.4 GHz Itanium 2
Red Hat Enterprise Linux AS 3.0 (64-bit)  48.6   3.82    0.83    1.39    1.92    2.80    0.33    0.76    7.44    3.29    4.84     7.11     4.90     2.90     2.88     3.34

2p 2.4 GHz Opteron 250
Sun Solaris 10 (64-bit)                   69.3   3.92    0.60    3.68    5.79    15.30   0.41    0.90    7.62    4.32    3.31     4.27     3.52     5.68     4.53     5.45

2p dual-core 2.5 GHz G5
Apple Mac OS 10.4.8 (32-bit)              70.6   3.92    1.25    3.88    4.53    18.10   0.81    1.43    6.39    2.29    4.96     5.83     4.64     2.72     6.02     3.89

2.4 GHz Pentium 4
Microsoft Windows XP (32-bit)             86.2   5.05    1.23    3.00    8.84    7.50    0.92    1.63    9.17    8.78    5.39     6.17     5.67     4.51     9.42     8.90

4p 1 GHz Power 4
IBM AIX 5.3 (64-bit)                      163.7  7.34    1.56    5.90    9.20    60.10   0.94    1.64    10.10   14.40   3.30     13.20    6.99     6.04     10.50    12.50

2p 1.28 GHz UltraSPARC III
Sun Solaris SPARC (64-bit)                235.2  12.00   1.97    9.66    12.70   45.30   1.13    2.43    26.30   32.30   7.40     19.70    11.90    5.91     18.90    27.50

2p 552 MHz PA-8600
HP HP-UX 11.11 (64-bit)                   405.5  25.30   3.92    30.50   9.76    64.90   33.10   3.41    49.50   22.60   28.20    41.80    24.00    21.10    24.00    23.30

kutscher
Microsoft Windows (32-bit)                440.5  19.20   4.34    10.50   41.60   38.00   2.96    6.31    30.90   89.90   19.10    20.70    19.10    12.40    56.50    69.30

(Timings are CPU time in seconds)

This MathematicaMark6 report was created with Wolfram Mathematica 6.0. MathematicaMark is a trademark of Wolfram Research, Inc.