Comparison of Mathematica 6.x on Various Computers

Version: July 15, 2008

This is the latest version of Mathematica timing tests.
Further results are welcome.

Send mail to: karl.unterkofler(at)fhv.at

Test notebooks are available from Karl's MMA page.
Download the MMA 6.0 test notebook.


New results:
Intel Quad Core Q6600, 3.5GHz, 2 GB DDR2
Intel Core Duo 2 (1667 MHz, T5500) 1 GB, Gentoo Linux x686
Dell Latitude D830, Core 2 Duo T7700 2.4 GHz, 3582MByte, Windows Vista Business 32-Bit
Mac Pro 2 x 4 core 3.2 GHz Xeon 800 MHz 6GB RAM OS 10.5.2
Dell Inspiron 530s, Core 2 Duo 3GHz, 3GB RAM, Windows Vista 32-bit
Dell Precision, Pentium D, 2.8GHz, 2GB RAM, Windows XP 32-bit
MacBook Pro, 2.33 GHz Intel Core 2 Duo, 3 GB RAM, MacOS X 10.5.2
Mac Pro, 2.8GHz Xeon Quad-Core (1 CPU), 4 GB RAM, MacOS 10.5.3

Overall performance in 15 test calculations.


The current reference is a machine with a 2.33GHz Intel Core 2 Duo processor

Mac Pro 2 x 4 core 3.2 GHz Xeon 800 MHz 6GB RAM OS 10.5.2 [18]: 1.40909
Mac Pro 2 x 3 Ghz Quad-Core Intel Xeon 8 GB, MacOS X [14]: 1.34422
MacPro, 3.0GHz Intel Core 2 Duo, 4GB, MacOS 10.4.9 [4]: 1.25404
Mac Pro, 2.8GHz Xeon Quad-Core (1 CPU), 4 GB RAM, MacOS 10.5.3 [22]: 1.21877
Intel Core2 Duo E6750 (2.67GHz), 2GB 667MHZ, Win64 [12]: 1.1958
Intel Quad Core Q6600, 3.5GHz, 2 GB DDR2 [15]: 1.18496
AMD Athlon 64 FX-74, 3.0GHz Socket F (1207 FX) DSDC, Windows [5]: 1.14464
Mac Pro 2.66GHz, 2GB RAM, Dual-Core Intel Xeon, OSX [13]: 1.0850
Dell Inspiron 530s, Core 2 Duo 3GHz, 3GB RAM, Windows Vista 32-bit [19]: 1.04201
MacBook Pro, 2.33 GHz Intel Core 2 Duo, 3 GB RAM, MacOS X 10.5.2 [21]: 1.00594
iMac, 2.33GHz Intel Core 2 Duo, 3GB, MacOS 10.4.9 [2]: 1.00338
MacBook Pro, 2.33GHz Intel Core 2 Duo, 2 GB RAM, MacOS X 10.4.9 [1]: 1.00105
Dell Precision 690, Dual Quad-Core Xeon 2.33 GHz 16GB RAM, Linux x86-64 [11]: 0.917116
MacBook, 2GHz Intel Core 2 Duo, 2GB, MacOS 10.4.10 [6]: 0.880472
Dell Latitude D830, Core 2 Duo T7700 2.4 GHz, 3582MByte, Vista Business 32-Bit [17]: 0.834667
MacBook, 2.00GHz Intel Core 2 Duo, 2GB, Windows XP SP2 (Bootcamp) [9]: 0.68890
Lenovo 1.86GHZ Intel Core 2 Duo (6300), 2 GB RAM, WinXP x32 (SP2) [10]: 0.642075
Dell Precision, Pentium D, 2.8GHz, 2GB RAM, Windows XP 32-bit [20]: 0.621174
Intel Core Duo 2 (1667 MHz, T5500) 1 GB, Gentoo Linux x686 [16]: 0.570267
MacBook, 2GHz Intel Core Duo, 2GB, MacOS 10.4.9 [3]: 0.537151
HP Pavilion notebook, AMD Turion 64 X2 TL-50 1.6 GHz 2 GB, Vista Home Basic [8]: 0.5156
Apple PowerBook G4, 867 MHz, 640 MB RAM, Mac OS 10.4.10 [7]: 0.127736

Detailed test results



Following calculations are performed

  1. Timing[N[Pi, 5000000]]][[1]]
  2. Timing[N[Sin[1/2], 3000000]][[1]]
  3. Timing[10000000!][[1]]
  4. Timing[FactorInteger[2^256 - 1]][[1]]
  5. Timing[PrimeQ[2^19937 - 1]][[1]]
  6. Timing[Eigenvalues[Table[Random[], {1200}, {1200}]]][[1]]
  7. Timing[Nest[f, 0.6, 6000000]][[1]]
  8. Timing[Nest[g, 2, 16000]][[1]]
  9. Timing[Table[Together[c[k]], {k, 4, 24}]][[1]]
  10. Timing[Integrate[1/(1 + x^1005), x]][[1]]
  11. Timing[Table[N[WeierstrassP[n, {1, 1}]], {n, 40000}]][[1]]
  12. Timing[Table[a[n], {n, 0, 15}]][[1]]/a>
  13. Timing[Table[HermiteH[n, z], {n, 1500}]][[1]]
  14. Timing[ Sum[Binomial[m, k], {k, 0, 10000000}]][[1]]
  15. Timing[Eliminate[{a0*b0 == g0, a1*b0 + a0*b1 == g1,
    a2*b0 + 2*a1*b1 + a0*b2 == g2,
    3*a2*b1 + 3*a1*b2 - q1*g1 - g0*q11 == g3,
    -3*z*(a1*b0 - a0*b1) - q1*g2 - 7/2*q11*g1 - g0*q12 + 6*a2*b2 - 6*a1*b1*q1 == g4,
    g2 - 3*a1*b1 + q1*g0 == -1}, {a0, a1, a2, b0, b1, b2}]][[1]]     
where
c[2]   := c2; c[3] := c3; 
c[k_]  := 3/((2*k + 1)*(k - 3))*Sum[c[m]*c[k - m], {m, 2, k - 2}];
f[x_]  := 4*x - 4*x^2;
g[x_]  := BesselJ[0, x];
a[n_]  := 2/Pi*Integrate[Log[2 Cos[x/2]] * Cos[n x], {x, 0, Pi}];

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Disclaimer

This page is maintained by Karl Unterkofler. Sentiments and opinions expressed here are wholly unrelated to those of Wolfram Research, Inc. and constitute in no way any official company statement or warranty. If you have any comments or questions please feel free to e-mail me.