MathematicaMark7 Benchmark Report

({{"Machine Name:", "valinor"}, {"System:", "Linux x86 (64-bit)"}, {"Date:", "January 25, 2009"}, {"Mathematica Version:", "7.0.0"}, {"Benchmark Result:", "3.05"}})

MathematicaMark7 Results

({{({{({{ }}), ({{MathematicaMark7, 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"}, {({{"2.40 GHz Intel Core2 Q6660"}, {"Microsoft Windows (64-bit)"}}), ({{"22.07"}}), ({{"1.11"}}), ({{"0.50"}}), ({{"0.73"}}), ({{"1.59"}}), ({{"1.59"}}), ({{"0.31"}}), ({{"0.70"}}), ({{"2.82"}}), ({{"1.30"}}), ({{"1.68"}}), ({{"2.81"}}), ({{"2.23"}}), ({{"1.77"}}), ({{"1.33"}}), ({{"1.60"}})}, {({{"2.33 GHz Intel Xeon E5410"}, {"Microsoft Windows (64-bit)"}}), ({{"22.78"}}), ({{"1.09"}}), ({{"0.52"}}), ({{"0.76"}}), ({{"1.65"}}), ({{"3.01"}}), ({{"0.31"}}), ({{"0.70"}}), ({{"2.84"}}), ({{"1.06"}}), ({{"1.64"}}), ({{"2.79"}}), ({{"1.83"}}), ({{"1.75"}}), ({{"1.23"}}), ({{"1.59"}})}, {({{"2.50 GHz Intel Xeon E5420"}, {"Linux x86 (64-bit)"}}), ({{"23.00"}}), ({{"1.21"}}), ({{"0.57"}}), ({{"0.80"}}), ({{"1.45"}}), ({{"4.30"}}), ({{"0.43"}}), ({{"0.84"}}), ({{"2.27"}}), ({{"0.66"}}), ({{"1.91"}}), ({{"2.34"}}), ({{"1.73"}}), ({{"1.52"}}), ({{"1.41"}}), ({{"1.56"}})}, {({{">> valinor <<"}, {"Linux x86 (64-bit)"}}), ({{"28.31"}}), ({{"1.55"}}), ({{"0.41"}}), ({{"0.62"}}), ({{"1.67"}}), ({{"6.28"}}), ({{"0.23"}}), ({{"0.43"}}), ({{"2.07"}}), ({{"1.71"}}), ({{"1.77"}}), ({{"2.71"}}), ({{"2.73"}}), ({{"1.66"}}), ({{"2.57"}}), ({{"1.91"}})}, {({{"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"}})}, {({{"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"}})}, {({{"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"}})}, {({{"1.4 GHz Itanium 2"}, {"Red Hat 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"}})}, {({{"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"}})}, {({{"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"}})}})}, {({{({{ }}), ({{"Timings are CPU time in seconds"}})}})}})

MathematicaMark7 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=RandomReal[{},{600000}];Do[Fourier[data],{11}]]]

Test 4: Eigenvalues of a Matrix

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

Test 5: Elementary Functions

Module[{m1,m2},Timing[SeedRandom[1];m1=RandomReal[{},{2000000}];m2=RandomReal[{},{2000000}];Do[Exp[m1];Sin[m1];ArcTan[m1,m2],{30}]]]

Test 6: Gamma Function

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

Test 7: Large Integer Multiplication

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

Test 8: Matrix Arithmetic

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

Test 9: Matrix Multiplication

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

Test 10: Matrix Transpose

Module[{m},Timing[SeedRandom[1];m=RandomReal[{},{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=RandomInteger[{1,50000},{460000}];Do[Sort[a],{15}]]]

Test 14: Singular Value Decomposition

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

Test 15: Solving a Linear System

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

[Plain Text Version]

=== System Information ===

Machine Name:          valinor
System:                Linux x86 (64-bit)
Date:                  January 25, 2009
Mathematica Version:   7.0.0
Benchmark Result:      3.05


=== MathematicaMark7 System Comparison ===

2.40 GHz Intel Core2 Q6660      3.91
Microsoft Windows (64-bit)

2.33 GHz Intel Xeon E5410       3.78
Microsoft Windows (64-bit)

2.50 GHz Intel Xeon E5420       3.75
Linux x86 (64-bit)

valinor                         3.05
Linux x86 (64-bit)

3.0 GHz Intel Xeon 5160         2.84
Microsoft Windows (32-bit)

2.66 GHz Intel Xeon             2.14
Apple Mac OS 10.4.8 (64-bit)

1.6 GHz Intel Xeon 5310         1.88
CentOS Linux 4.4 (32-bit)

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

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

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)

(Faster systems give larger numbers)


=== MathematicaMark7 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

2.40 GHz Intel Core2 Q6660
Microsoft Windows (64-bit)     22.1   1.11    0.50    0.73    1.59    1.59    0.31    0.70    2.82    1.30    1.68     2.81     2.23     1.77     1.33     1.60

2.33 GHz Intel Xeon E5410
Microsoft Windows (64-bit)     22.8   1.09    0.52    0.76    1.65    3.01    0.31    0.70    2.84    1.06    1.64     2.79     1.83     1.75     1.23     1.59

2.50 GHz Intel Xeon E5420
Linux x86 (64-bit)             23.0   1.21    0.57    0.80    1.45    4.30    0.43    0.84    2.27    0.66    1.91     2.34     1.73     1.52     1.41     1.56

valinor
Linux x86 (64-bit)             28.3   1.55    0.41    0.62    1.67    6.28    0.23    0.43    2.07    1.71    1.77     2.71     2.73     1.66     2.57     1.91

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

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

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

1.4 GHz Itanium 2
Red Hat 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

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

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

(Timings are CPU time in seconds)

This MathematicaMark7 report was created with Wolfram Mathematica 7.0. MathematicaMark is a trademark of Wolfram Research, Inc.