Comparison of Mathematica 4.0 on Various Computers

Version: August 20, 2003

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 4.0 test notebook.

Overall performance in 15 test calculations.

The current reference is a machine with a 300MHz G3 processor

Athlon 2800+, 512 KB cache, 333 MHz FSB, Win. XP Pro [134]:	10.1324
P4-B @ 3.06 Ghz, 4 Go 266 Mhz RAM, Windows 2003 .NET RC2 [132]:	9.91659
Intel P4, 3.06 GHz, 512K L2 cache, 512MB DDR400, Mandrake 9.0 kernel 2.4.19-smp [126]:	9.68197
P4-B @ 3.06 Ghz, 4 Go 266 Mhz RAM, Linux 2.4.20 [130]:	9.27715
Dell Workstation, Pentium 4, 2.8 GHz, 2 GB, Windows XP Pro [122]:	8.86758
Pentium 4, 2.764Ghz overclocked, 512 MB, Windows XP Pro [117]:	8.72745
Intel Pentium 4, 2.764Ghz, DDR Ram 512 MB, Mandrake Linux 9.0 [127]:	8.21672
Pentium 4, 2.53Ghz, 512 MB, Windows XP Pro [116]:	7.98291
P4-B @ 3.06 Ghz, 4 Go 266 Mhz RAM, Windows 2003 .NET RC2 [131]:	7.19335
Pentium 4, 2.4GHz, 512MB cache, 1GB, SuSE Linux 8.1 [125]:	7.13898
Pentium 2.441Mhz, overclocked, 1GHZ RAM, Windows .NET Server [108]:	6.89206
Athlon 2000+XP, Gigabyte GA-7DXR+, 512 MB DDR RAM, Windows XP [97]:	6.83063
Gateway 700XL Pentium 4, 2.2Ghz, 1GB RDRAM, 512kb, Windows [101]:	6.768
Athlon XP 1800+, ASUS A7V333, 1024 MB RAM, WinXP Home [107]:	6.69424
Tyan Dual AMD 1900+ MP, 3.5GB DDR PC2100, Linux RH-7.2 [95]:	6.46316
Athlon 1.6 GHz processor, 512MB, Linux 2.4.18 [110]:	6.40784
Athlon ThunderBird 1.4@1.54GHz, 256Mb, Windows XP [83]:	6.31142
Dual Athlon XP 1900 at 1.6 GHz, 512 Mo DDR SDRAM, SuSE Linux 7.3 SMP [121]:	6.26887
Dual Athlon 1800+ MP, 1 GB DDR RAM, Windows 2000 [85]:	6.19005
Pentium 4, 2.2GHz, 1GB DDR, Windows [106]:	5.92687
Athlon, 1.33GHz, 256KB, 3x256 MB, Windows 2000 Pro SP1 [75]:	5.52004
Athlon, 1.33 GHz, 640 Mb, 256 Kb, Windows NT sp 6 [78]:	5.27806
ASUS TerminatorP4, Pentium4, 1.7GHz, 512MB RAM, Win2000Pro [120]:	5.20299
PowerMac dual 1.4GHz, MacOS 10.2.6 [133]:	5.10788
Sony Vaio GRX560, 1.6GHz Pentium 4, 512 MB, Windows XP [111]:	5.02921
Athlon XP 1600+, Epox EP-8K7A Mainbaord with DDR, Windows [98]:	4.95813
Dell 8100, Pentium 4, 1.7 GHZ, 256 Mb, Windows 2000 sp2 [80]:	4.80289
Athlon 1.2 GHz, 512MB, Windows 2000 [73]:	4.78993
PowerMac dual G4, 1.25GHz, 2GB RAM, MacOS 10.2.1 [118]:	4.5448
Athlon 1.2 GHz, 512MB, Linux [72]:	4.4734
Gateway Select 1000, AMD Athlon 1000 MHz, 512KB L2, 192 MB, Linux [65]:	3.77305
Kryotech 1GHz AMD Athlon, 512k cache, 512MB, Linux [66]:	3.69674
PowerBook G4, 1 GHz, 1 GB RAM, OS X 10.2.4 [128]:	3.68543
PowerMac Dual G4/1.0 GHz, 512 MB, Mac OSX 10.1.5 [100]:	3.67548
PowerBook G4, 1 GHz, 1 GB RAM, OS X 10.2.4 [123]:	3.64696
Dell Dimension 4100, 1000MHz PIII, 512 MB, Win2000 Pro [88]:	3.64085
Gateway Select 1000, AMD Athlon 1000 MHz (1GHz), 512KB L2, 192 MB, Linux [60]:	3.57748
Dual P III, 1 Ghz, 1 GbRAM, Linux [90]:	3.47038
Dell Workstation 330, Pentium 4, 1.4 GHz, 256 Mb, Windows 2000 [76]:	3.44931
Dell Dimension 4100, 933 MHz Pentium III, 256 MB, Windows 2000 Pro [74]:	3.38112
Dell Dimension XPS B1000r, 512MB Ram, Win98 SE [64]:	3.38084
Intel D815E 933 Mhz Pentium III, 512 Mb Win 98SE [113]:	3.34892
Dell 4100, 933MHz, 128MB, Linux [63]:	3.19988
COMPAQ AlphaStation XP1000, 2 GB RAM, 4MB L2, Digital Unix 4.0F [50]:	3.16987
PowerBook G4, (Titanium) 800 Mhz, 512 MB RAM, MacOS 10.1.4 [109]:	3.0637
Dell Optiplex GX150, PIII 867 MHz, 128 Mb, Windows 98 [86]:	3.02655
AMD Athlon, 800 MHz, 512 KB L2, 256 MB, Linux [61]:	3.00154
PIII 850, 768 MB, Win2k [82]:	3.00152
Dual Xenon 866, 512 MB, Windows 2K [71]:	2.9618
Dell Inspiron 4000, 850Mhz, 256 MB, Debian GNU/Linux 2.2, kernel 2.2.19 [94]:	2.95682
Apple Titanium Powerbook G4, 800Mhz, 1GB, Mac OS 10.1.5 [103]:	2.93753
PowerBook G4 (Titanium) 800Mhz, 1GB, MacOSX 10.2.1 [114]:	2.91046
PowerMac G4, 867Mhz, 1GB, MacOS 10.1.2 [93]:	2.9017
Mac Dual G4 800 MHz, 1 GB Ram, Mac OS X 10.2.3 [124]:	2.87688
Mac Dual G4 800 MHz, 1.5 GB RAM, Mac OS X 10.1.1 [87]:	2.8713
Pentium III, 850 MHz, 256MB, Win 98 SE [84]:	2.83651
PenguinComputing, dual 800Mhz PIII, 128Mb, Linux [67]:	2.76745
Compaq Deskpro EN (PIII 800, 512 MB RAM, WinNT 4.0 SP6a< [115]:	2.74049
Athlon 700, asus k7m, 512 mb, win98 [43]:	2.70199
Dell 800 Mhz, Pentium III, 512 MB RDRAM, Win 98 SE [57]:	2.69821
Mac Dual G4 800 MHz,1 GB RAM, Mac OS X 10.1.2 [89]:	2.68965
Athlon 700 MHz, 128 MB, Linux [51]:	2.67027
Athlon 650 MHz, 256 MB, 100 MHz, Win NT 4.0 [42]:	2.60662
Duron 700, 320 MB, Windows 2000 [79]:	2.52291
Compaq-Digital Alpha 8200, 625MHz, 1GB RAM, DEC-UNIX [11]:	2.48495
SONY VAIO F409 notebook, PIII 650 MHz, 128MB RAM, Red Hat LINUX 6.1 [55]:	2.21137
Apple iBook 700 MHz G3, 256 MB Ram, Mac OS 9.2.2 [102]:	2.18141
Gericom Silver Seraph (notebook), P3 650, 256 MB, Win98 [81]:	2.16053
Athlon 650 Mhz, 32 Mb, Windows 98 [32]:	2.14558
Athlon 550MHz, 128MB, Red Hat Linux 6.1 [45]:	2.13797
Dell XPS T600r, P3 Copper wl 256kb, 128MB, Linux-2.0.36 [39]:	2.09939
PowerMac G4, 500MHz, 512MB,MacOS 10.1.5 [112]:	2.01963
Dell Precison 410, 2 PIII 550MHz, 256Mb RAM, Windows NT 4 [28]:	1.8561
Dell Precision 210, 550 MHz, 128 Mb, NT 4.0 [34]:	1.83606
Dell XPS T550, PIII-550, 128MB, RedHat-5.2, Linux [24]:	1.777
Powerbook G4 (Titanium) 400MHz, 384MB, MacOS 10.1.2 [91]:	1.73452
Gateway GP7-500, 500 MHz, 192 MB, WinNT 4 [6]:	1.70318
PowerMac 8500, 500 MHz MACh Carrier G3, 1 MB L2, 256 MB, MacOS 8.6 [35]:	1.68249
Power Macintosh G4, 500 MHz, 256MB RAM, MacOS 9.0.2 [54]:	1.66951
Apple G4 Cube 450 MHz, 1.2 GB, Mac OS X, 10.1.3 [99]:	1.67448
PowerBook G4, 550GHz, 512MB, OS X 10.1.5 [129]:	1.65315
iBook, 500MHz, 640MB, MacOS 10.1.3 [96]:	1.6345
Dell Precision 410, 2 PIII, 500MHz, 256MB RAM, Linux 2.2.10 [44]:	1.61725
Apple PowerBook G4 400 MHz, 384 MB, Mac OS 10.1.5 [104]:	1.61251
Asus P2B, Cell-300A/OC450, 128MB, RedHat-5.2, Linux [22]:	1.5373
PowerMac G4/450, MacOS 8.6 [38]:	1.52334
450 MHz P2, 256 MB, NT 4.0 [46]:	1.50986
iMac DV, G3 500MHz, 512K L2, 256MB, Mac OS 9.0.4 [69]:	1.50673
Pentium III 450 MHz (dual), ASUS P2B-D, 512MB, Linux [30]:	1.50127
AJP 3100CDS laptop, Celeron 466MHz, 128 MB, Win98 [10]:	1.47789
SGI Visual Workstation 320, 512 MB, 500 MHz Intel CPU, Win NT 4 [53]:	1.47511
Asus P2B, PII-400/OC448, 128MB, RedHat-5.1, Linux [20]:	1.47472
Asus P2B-S, PIII-450, 128MB, RedHat-5.2, Linux [21]:	1.47469
Asus P2B, PII-400/OC448, 128MB, RedHat-6.0, Linux [19]:	1.47042
Apple PowerBook G4 400 MHz, 384 MB, Mac OS 10.1.5 [105]:	1.45552
PIII-500, 128Mb [68]:	1.44566
Celeron 300a/OC450, ABIT BH-6, 128 Mb memory, W98 [56]:	1.44288
Celeron 450 MHz, 256 MB, Win 98 [47]:	1.44191
Pentium II, 450 MHz, 128 Mb, 13Gb disk, Red Hat Linux 6.1 [62]:	1.43694
Blue PowerMac G3, 450 MHz, 1 MB L2 cache, 128 MB, MacOS 8.6 [12]:	1.43654
PowerMac G3/450 MHz, 128MB, 1MB L2, VM on, MacOS 9 [41]:	1.42232
Dual Pentium II, 400 MHz (ASUS P2B-DS), 512 MB, Windows NT 4.0 [7]:	1.37808
Dell Optiplex GX1, Pentium Pro, 400 Mhz, 256 Mb, Windows NT 4.0 [3]:	1.33181
Dell XPS R400, PII-400, 128MB, RedHat-5.2, Linux [23]:	1.32562
Dual Celeron 400Mhz, 128MB, (RH6.0) Linux 2.2.10 [14]:	1.29382
PowerMac G4/400MHz, 128MB, Mac OS 8.6 [36]:	1.29191
Power Macintosh G4, 400 MHz, 1GB RAM, MacOS 9.0.2 [119]:	1.28502
PowerMac Blue G3/400, 192 MB, Mac OS 8.6 [2]:	1.26747
Macintosh Powerbook G3/400MHz, 128Mb, 1MB L2 cache, MacOS 8.6 [15]:	1.2569
Dell Dimension XPS Pentium II, 400 MHz, 128Mb, Windows 98 [16]:	1.21496
Pentium II 350 MHz, 128 MB, Linux [17]:	1.21234
AMD-K6-III, 400Mhz, 256 MB, Linux 2.4.0 [70]:	1.1916
Dell Dimension XPS R350 (P2 350 MHz), 64Mb, Windows NT4 [58]:	1.18343
Powerbook G4 (Titanium) 400MHz, 384MB, MacOS 10.1.2, MMA under Classic [92]:	1.08805
Compaq 5100 twin cpu, PII-300MHz, 256MB ram [9]:	1.02869
HP Omnibook 4150, 128 MB, PII-300, 512 KB L2, WinNT 4.0 [48]:	1.0139
iMac 333, Mac OS 8.6 [1]:	1.00888
Dell Dimension XPS300 (PII, 300mHz), 64MB ram, WinNT 4SP6 [59]:	1.00335
PowerMac G3, 300 MHz, 1 MB L2 cache, 196 MB, MacOS 8.6 [37]:	1.
iBook, 300 MHz G3, 512K L2 cache, 160 MB, MacOS 9 [49]:	0.971531
Pentium II, 300 MHz, 128 MB RAM, Windows 95 [8]:	0.959339
Dell Dimension XPSD300, Pentium II, 300 MHz 64 Mb, (see #59) Win98 [77]:	0.938518
Pentium II, 266 MHz, 64 Mb, NT 4.0 [33]:	0.904813
PowerMac G3, 266MHz ,512kL2, 288 MB, MacOS 8.6 [13]:	0.856878
iMac, G3 266 MHz, 512 KB L2 cache, 128 MB, VM on, MacOS 8.6 [29]:	0.816782
Power Macintosh 8100/100, Sonnett G3 266 MHZ, MacOS 8.6 [31]:	0.792079
PowerMac 6100/66mhz, G3/247mhz,1MB L2, 72MB, MacOS 8.6 [40]:	0.759349
ASUS DualPPro-200, 128MB, Linux [18]:	0.629316
Gateway PPro-200, 96MB, Linux [25]:	0.628367
SGI Octane MIPS CPU (R12000) IRIX 6.5 [52]:	0.567143
PowerMac 7600/200, 128 MB, Mac OS 8.6 [4]:	0.554275
Pentium 200 MHz (ASUS XP55T2P4), 128MB, Windows 4.0 [5]:	0.465724
SGI Indigo2, R10K 198MHz, 320MB, IRIX-6.2 [26]:	0.457861
SGI O200, 2xR10K 180MHz, 640MB, IRIX-6.5 [27]:	0.42968

Detailed test results

Following calculations are performed

1. Timing[N[Pi, 100000]][[1]]
2. Timing[N[Sin[1/2], 160000]][[1]]
3. Timing[120000!][[1]]
4. Timing[FactorInteger[2^101 - 1]][[1]]
5. Timing[PrimeQ[2^2281-1]][[1]]
6. Timing[Eigenvalues[Table[Random[], {400}, {400}]]][[1]]
7. Timing[Nest[f, 0.6, 120000]][[1]]
8. Timing[Nest[g, 0.6, 12000]][[1]]
9. Timing[Simplify[kdv[q4]]][[1]]
10. Timing[DSolve[D[y[x],{x,2}]+(a/Cosh[x]^2-1)*y[x]==0,y[x],x]][[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,
    -q1*g2 - (7*q11*g1)/2 - 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^28), x]][[1]]
13. Timing[Table[N[WeierstrassP[n, 1, 1]], {n, 1400}]][[1]]
14. Timing[Plot3D[Sin[x*y], {x, 0, 2*Pi}, {y, 0, 2*Pi},
    PlotPoints -> 1200, DisplayFunction -> Identity]][[1]]
15. Timing[Plot3D[Evaluate[q4], {x, -40, 40}, {t, -40, 40},
    PlotPoints -> 500, DisplayFunction -> Identity]][[1]]

where

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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