Comparison of Mathematica 5.x on Various Computers

Version: November 12, 2006

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

Send mail to: karl.unterkofler@fh-vorarlberg.ac.at

Test notebooks are available from Karl's MMA page.
Download the MMA 5.0 test notebook.

Overall performance in 15 test calculations.

The current reference is a machine with a 1GHz G4 processor

MacPro, two dual-core 3.0 GHz Xeon, 4 GB of RAM, MacOS X 10.4.8 [112]:	5.62855
Sun Ultra 40 (TM) Workstation, 2xOpteron 254, 2.8 GHz, Sun Solaris x86 (64 bit) [89]:	5.57733
AMD64 FX-55 (2.8GHz), , 2GB , Linux 2.6.11.4-20a x86_64 [74]:	5.12797
Opteron 252, 2GB, Fedora Core 3, x86-64 [68]:	5.04373
AMD64 3200 at 2.4 GHz, 2Gb [72]:	4.66717
AMD FX-55, Windows XP Pro [67]:	4.50873
AMD64 3200 at 2.4 GHz, 2Gb [70]:	4.50514
Athlon 64 3500+, at 2310 MHz, 1GB, SuSE Linux 9.2 x86_64 [69]:	4.42433
iMac 2.33Ghz, 2 Gb, MacOS X 10.4.7 [108]:	4.34905
Dual Opteron 248, 2.2GHz, 2GB, Linux x86_64 [66]:	4.1706
AMD FX-53, 2.4 GHz, 512MB, Linux x86-64 [47]:	4.23
AMD Athlon(tm) 64, 3500+, 1 GB, Linux x86-64 [57]:	4.12943
DELL laptop, XPS M1210, with an Intel Core 2 Duo T7200 (at) 2Ghz, 1 Gb RAM, Linux [111]:	3.97146
MacBook Pro 17", 2.16 GHz Intel Core Duo, 2 GB, Win XP(SP2) in Parallels [106]:	3.90823
Compaq Presario R3470US, 2200MHz AMD64, 1GB, Windows XP Home [64]:	3.71422
Athlon 64 FX-51, 2385 MHz, 1 GB, Windows XP [49]:	3.64407
AMD Athlon 64 (AM2) x2 4200, 2 GB, Windows 32 bit XP Pro SP 2 [110]:	3.60868
AMD64 3200+, SUSE Linux 9.0 for AMD64 [38]:	3.55376
AMD Athlon 64, 3800+, ASUS A8V Delux, 2 GB PC3200 DDR 400, Windows XP Pro [50]:	3.53986
Athlon 64 3200+, Revision SH7-C0, 2.25 Ghz, 1MB L2, Windows [36]:	3.5179
Macbook, 2.16GHz, 2GB , MacOS 10.4.5 [98]:	3.48996
Apple MacBook Pro 17", 2.16 GHz, 2 GB RAM, Windows XP Pro SP2 (Boot Camp 1.1.1) [109]:	3.48063
AMD Athlon 64, 3800+, ASUS A8V Delux, 2 GB PC3200 DDR 400, Window XP 64 [51]:	3.41153
Opteron 244 (1,8 GHz), 2GB, SuSE Linux 9 Pro for AMD64 [31]:	3.40254
MacBook Pro, 2.16GHz, 2GB , MacOS 10.4.5 [96]:	3.39797
Athlon 64 3200+ 2GHZ, 1GB DDR 500, Windows XP SP2 [71]:	3.32833
Power Mac 2 x dual core G5, 2.5 GHz, 8G RAM, MacOS X [99]:	3.26868
AMD Athlon 3200+, 2GB RAM, WinXP Pro [42]:	3.23186
MacBook, Intel Core Duo, 2 GHz, 2 GB, MacOS X [107]:	3.17139
Toshiba A100 Laptop, Intel Core Duo Processor T2400 [105]:	3.14924
Athlon 64 3200+, Revision SH7-C0, 2.0 Ghz, 1MB L2, Windows [35]:	3.1481
Acer Ferrari 4006, AMD Turion(tm) 64, 2.19GHz, 1GB,Windows XP Pro x64 [100]:	3.1337
Acer Ferrari 3400, 1.25GB (mobile AMD Athlon 64 Processor 3000+) 2.00 GHz [77]:	3.08062
AMD Athlon 64 3200+, 512 MB, Windows [20]:	3.02386
Thinkpad 43p Pentium M 760 , 2.0Ghz,1Gb [79]:	3.01127
Power Mac G5 Dual 2.7 GHz, 4 GB, Mac OS X (10.4.2) [78]:	3.00397
PowerMac G5, 2.5 Ghz, Dual Core, 3GB, MacOS X (10.4.8), MMA 5.2 [104]:	2.97995
Dell DIMENSION 8400 Pentium 4 3.60 GHz, 3GB, Windos XPSP2 [63]:	2.97944
Dual AMD Opteron 246 2.0GHz, 2.0GB DDR. Windows XP [48]:	2.95304
Bull NovaScale 4040, 4 Intel Itanium-2-Processors, 32 GB Ram, RedHat Enterprise Linux [92]:	2.93847
Intel Pentium Mobile, 1.70GHz, 512Mb, Windows XP SP2 [58]:	2.85392
MacBook Pro 17", 2.16 GHz Intel Core Duo, 2 GB, MacOS X [106]:	2.87659
Power Mac G5 Dual 2.7 GHz, 4 GB, Mac OS X [73]:	2.83677
Opteron 244 (1,8 GHz), 2GB, Windows XP Pro SP1 [32]:	2.83638
PowerMac Dual G5 2.5 GHz, 1 GB, Mac OS X 10.3.6 [53]:	2.81903
Dell Inspiron 600M, 1.8 GHz Pentium M, 2 MB L2, 512 GB RAM, Windows XP Pro SP2 [103]:	2.76937
Powermac G5 dual 2.3GHz, 2GB, MacOSX 10.4.2 [84]:	2.75343
Pentium 4 XT ("Extreme Edition"), 3.2 GHz, 2GB, Win XP Pro [80]:	2.75238
Opteron 244 (1,8 GHz), 2GB, SuSE Linux 9 Pro for i386 [30]:	2.73023
PowerMac G5, 2.5 Ghz, Dual Core, 3GB, MacOS X, MMA 5.1 [104]:	2.71829
Pentium 4 XT ("Extreme Edition"), 3.2 GHz, 2GB, Win XP Pro [41]:	2.6867
Pentium 4 3.2 GHz 1 GB RAM, Win XP Pro [81]:	2.65769
Sun Java Workstation W2100z, Dual Opteron 246's (2.0GHz), 6 Gb RAM, Solaris 10 [97]:	2.62212
HP Compaq dc7100, Intel 3.2Ghz, Windows XP Pro [86]:	2.61199
PowerMac G5 2Ghz, Dual Core, 2GB, MacOS X [91]:	2.5671
xp-2700, 2.17 GHz, 333 FSB, 1 GB, win-xp-pro [25]:	2.54757
ACER TravelMate 800, Centrino 1.6 GHz, MS Windows XP Professional [75]:	2.54588
PowerMac G5, 2.5 Ghz, Dual Core, 3GB, MacOS X, MMA 5.0 [104]:	2.53523
Athlon 2800+, 512 KB cache, 333 MHz FSB, Win XP Pro [2]:	2.50588
Dell Latitude D600 Pentium M 1.7 GHz, 1GB RAM, Windows XP SP2 [62]:	2.50344
PowerMac Dual G5 2.5 GHz, 1 GB, Mac OS X 10.3.6 [52]:	2.50112
Pentium 4, 3.2 GHz, 2 GB, Win XP Pro [23]:	2.48287
Dell Precision 650, 4X3.06GHz Xeon, 512KB L2, 4GB, Win XP Pro V5.1 [35]:	2.43878
3.0GHz Pentium IV (1MB cache), 512MB RAM, Windows XP Prof SP2 [88]:	2.43224
P4, 3.2 GHz, 2GB RAM, 512kb, XP SP1 [40]:	2.41661
Sony VAIO PCG-Z1XSP, Pentium M 1700 MHz, 1Gb, Win XP Pro SP1 [44]:	2.40615
Gateway E6300, 3.2 GHz Pentium 4, 1 MB L2, 1 Gb, Windows XP Pro SP2 [102]:	2.40406
IBM ThinkPad T41, Pentium M 1.7 GHz, 2.0 GB RAM, Win XP Pro [24]:	2.39752
Dell 5150 Pentium 4 notebook, 3.2 Ghz, 512 kB, 1GB, XP Pro [45]:	2.31495
AMD Sempron 2400+, 1.667 GHz, 256 MB, Madrake Linux 10.1 [85]:	2.25058
SGI Altix 3300, 1.3 GHz, 19 GB, Linux [28]:	2.22437
P4-B, 3Ghz, 4GB, W2K3 [21]:	2.1325
Mac G5, 2GHz dual, 1.5GB RAM, OS X 10.3 [27]:	2.08193
Pentium M, 1500MHz, Windows [39]:	2.07312
xp-2500m, 1.86 GHz, 456 mb, XP-pro [26]:	2.0711
3.0GHz Pentium IV (1MB cache), 512MB RAM, Windows XP Professional SP2 [83]:	2.06186
PowerMac G5, 2 GHz, 2.5 GB, MacOS 10.2.8 [3]:	2.04471
Alpha 21264C, 1250MHz, Unix [12]:	1.96207
AMD Athalon XP 1900+, Dual 1.67 GHz, 2GB, Windows XP Professional SP1 [37]:	1.89746
IBM Thinkpad T41, Pentium M 1.6 G, 1GB, Linux [59]:	1.89279
Dell P IV 2.4 GHz, 512MB, Win2000 [22]:	1.89181
iMac G5 1.8 GHz, 1GB RAM, Mac OS X 10.3.7 [61]:	1.83851
Pentium 4, 2.4GHz, 512MB, Linux [13]:	1.81
Pentium Xeon, 2.4GHz, 1GB, Linux [14]:	1.79268
Athlon XP 1800+, 512MB, Linux [15]:	1.65654
Athlon Tunderbird, 1.2 GHz, 1GB, Windows 2K SP 4 [82]:	1.62347
Gateway 700XL Pentium 4, 2.2GHz, 1GB RAM, WinXP Pro [10]:	1.5303
Powerbook G4 15" 1.5 GHz, 1.25 GB RAM, Mac OS X 10.3.8 [65]:	1.50149
Powerbook G4, 1.5 GHz, 1GB, Mac OS X 10.4.1 [76]:	1.43542
Athlon 1.3 GHz, 768 MB, Windows XP home [11]:	1.39993
Acer TravelMate C110 Tablet PC, 900MHz Centrino (Pentium M), 1Gb, WinXP Pro [54]:	1.39085
iBook G4 1.42GHZ, 512MB RAM, OSX 10.4.2 [87]:	1.37425
Toshiba TE2000 laptop, P3 1.2 GHz, 512MB, Win XP Pro [43]:	1.28186
Pentium P4, 2.0 Ghz, 1.5 GB RAM, 512kB cache, XP [6]:	1.2771
Intel(R)Celeron(R), 2.20GHz, 128KB-L2, 1 GB, FSB 400MHz, WinXP-Pro [56]:	1.24219
Apple PowerBook G4 15", 1,25GHz, 512MB, Mac OS X 10.3.7 [55]:	1.17417
Powerbook G4, 1.25 GHz, 512MB, Mac OSX 10.3.2 [29]:	1.15612
PowerMac 1GHz, 768MB, MacOS 10.2.8 [1]:	1.
ibook, 1ghz, 512kB, 512mb, mac os x 10.3.4 [46]:	0.995586
Athlon 900MHz, 512MB, Linux [16]:	0.993991
Pentium 3, 1GHz, 1GB, Windows [17]:	0.933511
iBook G4, 933MHz, 640MB, OS 10.3.2 [33]:	0.836483
PowerMac G4, 800 MHz Dual, 1 GB, Mac OS 10.3 [8]:	0.825173
PowerBook G4, 800MHz, 1GB, MacOS 10.3 [4]:	0.790207
PowerBook G4 12", 867 MHz, Mac OS X 10.3.7 [60]:	0.779753
MacBook Pro 15", Intel Core Duo, 2 GHz, 2 GB, MacOS X [101]:	0.793082
PowerBook G4, 867 MHz, 640 MB RAM, Mac OS 10.3 [5]:	0.763375
Mobile Pentium 3, 800MHz, 256MB, Windows [18]:	0.71767
COMPAQ ES40 AlphaServer, four CPUs at 500 MHz, 7GB RAM, RedHat Linux 7.2 [90]:	0.686439
Pentium P3, 700Mhz, 384 Mb RAM, RedHat Linux 7.3 [7]:	0.679323
Pentium III 600MHz, 1GB, Windows [19]:	0.634374
Sun Ultra 80, 4 x 450 MHz UltraSPARC II CPUs, 4 GB, Solaris 10 [94]:	0.510732
Mac Cube 450 MHz, , 640 MB RAM, OS X 10.2 [9]:	0.470416
Sun Blade100 (500MHz UltraSPARC IIe & 512Mb RAM) Solaris 10 [95]:	0.42459
Sun Ultra 80, 4 x 450 MHz processors, 4 GB, UltraSPARC II processors, Solaris 10, [93]:	0.138274

Detailed test results

Following calculations are performed

1. Timing[N[Pi, 800000]][[1]]
2. Timing[N[Sin[1/2], 800000]][[1]]
3. Timing[1000000!][[1]]
4. Timing[FactorInteger[2^256 - 1]][[1]]
5. Timing[PrimeQ[2^9689 - 1]][[1]]
6. Timing[Eigenvalues[Table[Random[], {750}, {750}]]][[1]]
7. Timing[Nest[f, 0.6, 1500000]][[1]]
8. Timing[Nest[g, 2, 10000]][[1]]
9. Timing[Simplify[kdv[c1 + q4[x + 3/2*c2*t, t]]]][[1]]
10. Timing[Table[Together[c[k]], {k, 4, 22}]][[1]]
11. 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]]
12. Timing[Integrate[1/(1 + x^52), x]][[1]]
13. Timing[Table[N[WeierstrassP[n, 1, 1]], {n, 20000}]][[1]]
14. Timing[Plot3D[Sin[x*y], {x, 0, 2*Pi}, {y, 0, 2*Pi}, PlotPoints -> 4000, DisplayFunction -> Identity]][[1]]
15. Timing[Plot3D[Evaluate[q4[x, t]], {x, -40, 40}, {t, -40, 40}, PlotPoints -> 2000, DisplayFunction -> Identity]][[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];
kdv[u_]:= D[u, t] - 1/4*D[u, {x, 3}] - (3*u*D[u, x])/2;
q4     :=- (5/8) + (-288 - 96*Cosh[t/8 + 2*x] + 384*Cosh[(11*t)/16 - x])/
           ((-10 - 6*Cosh[t/8 + 2*x] + 6*Cosh[(11*t)/16 - x] +
           9*Cosh[(13*t)/16 + x] + Cosh[(9*t)/16 - 3*x])*16); 

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