Timing[N[Sin[1/2],2500]][[1]]
(*
DecAlpha 3000/500**: 2.43 Second
SGI INDIGO2 XL: 2.56 Second
IBM RS/6000 Mod. 3AT: 2.69 Second
SGI ONYX: 3.40 Second
PowerMac 8100/110Mhz: 3.6 Second
PowerMac 8100/80Mhz/16MB,256K cache: 5.15 Second
HP 9000/712/80, 64MB: 5.72 Second
HP 9000/735: 5.83 Second
PowerMac 7100/66Mhz/40MB,256K cache: 5.85 Second
Dell Dimension XPS P90: 5.95 Second
PowerMac 6100/60Mhz/8MB,256K cache: 6.1 Second
PowerMac 7100/66Mhz/8MB: 6.28 Second
P90 Nextstep 3.3: 6.57 Second
PowerMac 6100/60Mhz/8MB: 6.85 Second
Quadra700/20MB, PDS card: 7.35 Second
Pentium 90/48MB, 512 K cache: 7.64 Second
Quadra 610/20MB & PPC card: 8.1 Second
Midwest Micro Soundbook,75MHz Pentium: 8.13 Second
Quadra 610/20MB,PPC card,RAMDoubler: 8.2 Second
Pentium 60Mhz, 256 K cache: 9.34 Second
HP 9000/730: 9.51 Second
HP 9000/715/50: 11.62 Second
SUN Sparc 20/61: 13.87 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 15.75 Second
IBM RS/6000 Mod. 320: 15.79 Second
SPARCstation 20-61, Solaris 2.3: 16.13 Second
486DX/66 (NeXTstep): 17.25 Second
SPARCserver 690-52, Solaris 2.3: 19.19 Second
486DX/66: 19.55 Second
SUN Sparc 10: 20.67 Second
SPARC 10/41: 21.63 Second
NeXT/25: 35.08 Second
486DX/33: 38.94 Second
Quadra 610/20MB; 43.62 Second
Quadra 700/20MB: 46.15 Second
Quadra 650, MMA Student Vers. 2.2.1: 56.67 Second
*)
Timing[N[Pi,10001]][[1]]
(*
DecAlpha 3000/500**: 2.97 Second
IBM RS/6000 Mod. 3AT: 3.83 Second
DecAlpha 3000/500: 3.5 Second
DecAlpha 3000/300: 3.88 Second
SGI INDIGO2 XL: 3.91 Second
DecAlpha 3000/400: 4.2 Second
SGI ONYX: 5.21 Second
SGI Indy: 5.27 Second
PowerMac 8100/110Mhz: 6.4 Second
HP 9000/735: 7.49 Second
PowerMac 8100/80Mhz/16MB, 256K cache: 7.92 Second
SGI Iris Indigo XS4000: 8.10 Second
HP 9000/712/80, 64MB: 8.25 Second
RS/6000 570: 8.36 Second
Dell Dimension XPS P90: 8.45 Second
PowerMac 7100/66Mhz/40MB,256K cache: 9.5 Second
Midwest Micro Soundbook,75MHz Pentium: 9.78 Second
P90 Nextstep 3.3: 9.8 Second
PowerMac 7100/66Mhz/8MB: 11.08 Second
Pentium 90: 11.26 Second
PowerMac 6100/60Mhz/8MB,256K cache: 11.7 Second
HP 9000/730: 12.2 Second
IBM RS/6000 Mod. 340 13.24 Second
Quadra 700 with PDS card: 13.67 Second
Quadra 610/20MB & PPC card: 13.7 Second
PowerMac 6100/60Mhz/8MB: 13.78 Second
Pentium 60Mhz, 256 K cache: 14.99 Second
HP 9000/715/50: 15.3 Second
SUN Sparc 20/61: 16.97 Second
Soundbook 100mhz/DX4: 16.97 Second
Quadra 610/20MB,PPC card,RAMDoubler: 17.97 Second
SGI 4D: 19.12 Second
SPARCstation 20-61, Solaris 2.3: 19.59 Second
SGI Indigo R3000: 21.6 Second
IBM RS/6000 Mod. 320: 22.08 Second
486DX/66 (NeXTstep): 23.15 Second
SPARCserver 690-52, Solaris 2.3: 23.46 Second
SUN SPARC 10/51: 23.76 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 24.25 Second
SUN Sparc 10: 25.50 Second
SPARC 10/41: 26.62 Second
486DX/66: 27.46 Second
Sparc 10 Model 30: 29.15 Second
NeXT/25: 36.32 Second
TurboNeXT: 38.7 Second
Decstation 3100: 44.68 Second
Zeos 486DX/33: 52.95 Second
Quadra 700/20MB: 67.02 Second
Quadra 610/20MB; 67.67 Second
Quadra 650, MMA Student Vers. 2.2.1: 82.23 Second
*)
Timing[10001!][[1]]
(*
IBM RS/6000 Mod. 3AT: 2.63 Second
SGI INDIGO2 XL: 2.86 Second
DecAlpha 3000/500**: 3.25 Second
DecAlpha 3000/500: 3.25 Second
DecAlpha 3000/300: 3.35 Second
DecAlpha 3000/400: 3.6 Second
SGI ONYX: 3.74 Second
SGI Indy: 3.79 Second
PowerMac 8100/110Mhz: 4.83 Second
RS/6000 570: 5.62 Second
HP 9000/735: 5.81 Second
SGI Iris Indigo XS4000: 5.83 Second
PowerMac 8100/80Mhz/16MB,256K cache: 5.87 Second
Dell Dimension XPS P90: 6.02 Second
HP 9000/712/80, 64MB: 6.31 Second
PowerMac 7100/66Mhz/40MB,256K cache: 6.8 Second
Pentium 90: 7.53 Second
P90 Nextstep 3.3: 8.73 Second
PowerMac 7100/66Mhz/8MB: 8.78 Second
IBM RS/6000 Mod. 340: 8.82 Second
PowerMac 6100/8MB/60Mhz,256K cache: 9.3 Second
HP 9000/730: 9.31 Second
Midwest Micro Soundbook,75MHz Pentium: 9.33 Second
Pentium 60Mhz, 256 K cache: 9.94 Second
Soundbook 100mhz/DX4: 10.05 Second
Quadra 610/20MB & PPC card: 10.1 Second
Quadra 700 with PDS card: 10.47 Second
PowerMac 6100/8MB/60Mhz: 10.95 Second
HP 9000/715/50: 11.73 Second
SUN Sparc 20/61: 14.18 Second
IBM RS/6000 Mod. 320: 14.63 Second
SGI 4D: 14.66 Second
SGI Indigo R3000: 16.18 Second
Quadra 610/20MB,PPC card,RAMDoubler: 16.4 Second
SPARCstation 20-61, Solaris 2.3: 16.6 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 17.84 Second
486DX/66 (NeXTstep): 19.42 Second
SPARCserver 690-52, Solaris 2.3: 19.6 Second
SUN SPARC 10/51: 19.61 Second
486DX/66: 20.32 Second
SUN Sparc 10: 21.03 Second
SPARC 10/41: 21.97 Second
Sparc 10 Model 30: 24.05 Second
TurboNeXT: 32.15 Second
Decstation 3100: 35.75 Second
Zeos 486DX/33: 40.37 Second
Quadra 610/20MB; 49.55 Second
Quadra 700/20MB: 50.97 Second
NeXT/25: 57.45 Second
Quadra 650, MMA Student Vers. 2.2.1: 65.48 Second
*)
First[Timing[Eigenvalues[Table[Random[],{200},{200}]]]]
(*
IBM RS/6000 Mod. 3AT: 3.86 Second
HP 9000/735: 4.52 Second
SGI INDIGO2 XL: 5.02 Second
SGI ONYX: 6.44 Second
SGI Indy: 6.83 Second
PowerMac 8100/110Mhz: 7. Second
HP 9000/712/80, 64MB: 7. Second
RS/6000 570: 7.04 Second
HP 9000/730: 7.7 Second
SPARCstation 20-61, Solaris 2.3: 8.69 Second
PowerMac 8100/80Mhz/16MB,256K cache: 8.85 Second
P90 Nextstep 3.3: 9.6 Second
SUN SPARC 10/51; 9.8 Second
SUN Sparc 20/61: 9.97 Second
PowerMac 7100/66Mhz/40MB,256K cache: 10.22 Second
HP 9000/715: 10.26 Second
Dell Dimension XPS P90: 10.78 Second
SGI Iris Indigo XS4000: 10.84 Second
Pentium 90: 11.64 Second
SPARCserver 690-52, Solaris 2.3: 11.68 Second
Midwest Micro Soundbook,75MHz Pentium: 12.83 Second
IBM RS/6000 Mod. 340: 12.98 Second
DecAlpha 3000/500**: 13.1 Second
PowerMac 6100/60Mhz/8MB,256K cache: 13.2 Second
SPARC 10/41: 14.75 Second
PowerMac 7100/66Mhz/8MB: 15.08 Second
SUN Sparc 10: 15.27 Second
Pentium 60Mhz, 256 K cache: 15.32 Second
Sparc 10 Model 30: 16.35 Second
Quadra 610/20MB & PPC card: 18.4 Second
PowerMac 6100/60Mhz/8MB: 19.07 Second
Quadra 610/20MB,PPC card,RAMDoubler: 19.72 Second
Quadra 700 with PDS card: 20.22 Second
SGI 4D: 20.34 Second
IBM RS/6000 Mod. 320: 21.25 Second
SGI Indigo R3000: 23.05 Second
Soundbook 100mhz/DX4: 27.74 Second
486DX/66 (NeXTstep): 30.12 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 37.71 Second
486DX/66: 38.12 Second
TurboNeXT: 41.32 Second
Decstation 3100: 48.45 Second
NeXT/25: 54.98 Second
DecAlpha 3000/500: 71.1 Second
Zeos 486DX/33: 73.54 Second
DecAlpha 3000/400: 81.07 Second
DecAlpha 3000/300: 97.52 Second
Quadra 700/20MB: 100.8 Second
Quadra 610/20MB; 104.9 Second
Quadra 650, MMA Student Vers. 2.2.1: 357.48 Second
*)
f[x_]:= 4x-4x^2;
Timing[ Nest[f,0.6,5000]][[1]]
(*
HP 9000/735: 1.74 Second
SGI INDIGO2 XL: 1.79 Second
SGI Indy: 2.21 Second
HP 9000/712/80, 64MB: 2.25 Second
SGI ONYX: 2.29 Second
IBM RS/6000 Mod. 3AT: 2.32 Second
SPARCstation 20-61, Solaris 2.3: 2.74 Second
PowerMac 8100/110Mhz: 2.77 Second
P90 Nextstep 3.3: 2.7 Second
Dell Dimension XPS P90: 2.80 Second
HP 9000/730: 2.89 Second
Pentium 90: 3.07 Second
SUN SPARC 10/51: 3.07 Second
PowerMac 8100/80Mhz/16MB,256K cache: 3.1 Second
RS/6000 570: 3.18 Second
SPARCserver 690-52, Solaris 2.3: 3.22 Second
PowerMac 7100/66Mhz/40MB,256K cache: 3.48 Second
Pentium 60Mhz, 256 K cache: 3.68 Second
SGI Iris Indigo XS4000: 3.84 Second
SUN Sparc 20/61: 3.92 Second
Midwest Micro Soundbook,75MHz Pentium: 4.01 Second
PowerMac 6100/60Mhz/8MB, 256K cache: 4.5 Second
HP 9000/715/50: 4.55 Second
DecAlpha 3000/500**: 4.57 Second
Quadra 700 with PDS card: 4.75 Second
486DX/66 (NeXTstep): 4.9 Second
Quadra 610/20MB & PPC card: 5.02 Second
Quadra 610/20MB,PPC card,RAMDoubler: 5.28 Second
DecAlpha 3000/500: 5.3 Second
SUN Sparc 10: 5.43 Second
SPARC 10/41: 5.52 Second
PowerMac 7100/66Mhz/8MB: 5.83 Second
DecAlpha 3000/400: 5.85 Second
SGI 4D: 6.01 Second
Soundbook 100mhz/DX4: 6.2 Second
Sparc 10 Model 30: 6.77 Second
SGI Iris Indigo XS4000: 6.88 Second
TurboNeXT: 7.13 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 7.47 Second
486DX/66: 7.69 Second
DecAlpha 3000/300: 7.85 Second
PowerMac 6100/60Mhz/8MB: 7.97 Second
IBM RS/6000 Mod. 340: 7.97 Second
SGI Indigo R3000: 8.19 Second
NeXT/25: 9.43 Second
IBM RS/6000 Mod. 320: 12.25 Second
Decstation 3100: 12.87 Second
Zeos 486DX/33: 15.27 Second
Quadra 700/20MB: 15.25 Second
Quadra 610/20MB; 18.26 Second
Quadra 650, MMA Student Vers. 2.2.1: 18.54 Second
*)
f[x_]:= BesselJ[0,x];
Timing[Nest[f,0.6,2500]][[1]]
(*
SGI INDIGO2 XL: 3.04 Second
HP 9000/735: 3.69 Second
SGI Indy: 4.01 Second
SPARCstation 20-61, Solaris 2.3: 4.05 Second
SGI ONYX: 4.06 Second
IBM RS/6000 Mod. 3AT: 4.55 Second
SUN SPARC 10/51: 4.81 Second
P90 Nextstep 3.3: 4.95 Second
SUN Sparc 20/61: 5. Second
PowerMac 8100/110Mhz: 5.03 Second
HP 9000/712/80, 64MB: 5.15 Second
Dell Dimension XPS P90: 5.32 Second
SPARCserver 690-52, Solaris 2.3: 5.38 Second
HP 9000/730: 5.79 Second
PowerMac 8100/80Mhz/16MB, 256K cache: 5.92 Second
Pentium 90: 6.43 Second
RS/6000 570: 6.43 Second
SGI Iris Indigo XS4000: 6.88 Second
PowerMac 7100/66Mhz/40MB, 256K cache: 6.95 Second
SUN Sparc 10 7.56 Second
SPARC 10/41 7.9 Second
Pentium 60Mhz, 256 K cache: 7.96 Second
HP 9000/715/50: 8.76 Second
Midwest Micro Soundbook,75MHz Pentium: 8.84 Second
PowerMac 6100/60Mhz/8MB, 256K cache: 8.9 Second
486DX/66 (NeXTstep): 8.97 Second
Quadra 700 with PDS card: 9.07 Second
Sparc 10 Model 30: 9.4 Second
Quadra 610/20MB & PPC card: 9.65 Second
PowerMac 7100/66Mhz/8MB: 9.97 Second
DecAlpha 3000/500**: 9.97 Second
Quadra 610/20MB,PPC card,RAMDoubler: 10.08 Second
DecAlpha 3000/500: 10.9 Second
SGI 4D: 11.72 Second
PowerMac 6100/8MB/60Mhz: 12.07 Second
DecAlpha 3000/400: 12.57 Second
IBM RS/6000 Mod. 340: 13.61 Second
Soundbook 100mhz/DX4: 13.9 Second
486DX/66: 14.45 Second
TurboNeXT: 15.55 Second
DecAlpha 3000/300: 16.13 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 16.28 Second
SGI Indigo R3000: 16.41 Second
NeXT/25: 18.92 Second
IBM RS/6000 Mod. 320: 22.1 Second
Zeos 486DX/33: 26.59 Second
Decstation 3100: 33.33 Second
Quadra 700/20MB: 42.12 Second
Quadra 610/20MB; 44.95 Second
Quadra 650, MMA Student Vers. 2.2.1: 55.33 Second
*)
kdv[q_]:= D[q,t] - 1/4 D[q,{x,3}] -3/2 q D[q,x]
q3:= (-5*E^((11*t)/8) - 45*E^(2*x) - 18*E^((11*t)/16 + x) +
162*E^((3*t)/2 + 2*x) - 188*E^((13*t)/16 + 3*x) +
162*E^(t/8 + 4*x) - 45*E^((13*t)/8 + 4*x) -
18*E^((15*t)/16 + 5*x) - 5*E^(t/4 + 6*x))/
(8*(-E^((11*t)/16) + 3*E^x - 3*E^((13*t)/16 + 2*x) +
E^(t/8 + 3*x))^2)
Timing[Simplify[kdv[q3]]]
(*
SGI INDIGO2 XL: 15.16 Second
HP 9000/735: 16.08 Second
IBM RS/6000 Mod. 3AT: 17.68 Second
SGI Indy: 18.36 Second
PowerMac 8100/110Mhz: 19.62 Second
SGI ONYX: 19.95 Second
SPARCstation 20-61, Solaris 2.3: 21.37 Second
P90 Nextstep 3.3: 22.25 Second
HP 9000/712/80, 64MB: 23.02 Second
Dell Dimension XPS P90: 23.05 Second
PowerMac 8100/80Mhz/16MB, 256K cache: 23.13 Second
SUN SPARC 10/51: 24.91 Second
HP 9000/730: 25.62 Second
SPARCserver 690-52, Solaris 2.3: 26.02 Second
PowerMac 7100/66Mhz/40MB, 256K cache: 26.28 Second
RS/6000 570: 26.85 Second
Pentium 90: 26.91 Second
SUN Sparc 20/61: 29.08 Second
SGI Iris Indigo XS4000: 32.12 Second
Pentium 60Mhz, 256 K cache: 33.89 Second
Midwest Micro Soundbook,75MHz Pentium: 34.5 Second
PowerMac 6100/60Mhz/8MB, 256K cache: 35.2 Second
HP 9000/715/50: 37.87 Second
Quadra 610/20MB & PPC card: 37.12 Second
Quadra 700 with PDS card: 38.3 Second
DecAlpha 3000/500**: 38.83 Second
Quadra 610/20MB,PPC card,RAMDoubler: 39.58 Second
DecAlpha 3000/500: 39.83 Second
SPARC 10/41: 40.38 Second
PowerMac 7100/66Mhz/8MB: 40.7 Second
SUN Sparc 10: 40.8 Second
486DX/66 (NeXTstep): 42.52 Second
DecAlpha 3000/400: 45.5 Second
SGI 4D: 47.84 Second
Sparc 10 Model 30: 51.92 Second
PowerMac 6100/8MB/60Mhz: 54.62 Second
DecAlpha 3000/300: 56.08 Second
NeXT/25: 57.43 Second
IBM RS/6000 Mod. 340: 58.3 Second
TurboNeXT: 60.9 Second
Soundbook 100mhz/DX4: 61.25 Second
486DX/66: 65.03 Second
SGI Indigo R3000: 67.87 Second
486DX2/66/16MB, 256 K, OS/2 2.1: 68.34 Second
IBM RS/6000 Mod. 320: 92.32 Second
Decstation 3100: 119.92 Second
Quadra 650, MMA Student Vers. 2.2.1: 128.7 Second
Quadra 700/20MB: 135.28 Second
Quadra 610/20MB; 145.93 Second
*)
HP 9000/735/99, HP 9000/730, HP 9000/715/50, PowerMac 8100/80Mhz/16MB, 256 K cache, PowerMac 6100/60Mhz/8MB, Quadra 700/20MB with PDS card, Quadra 700/20MB, 486DX/66 (Windows) by karl@faepds01.tu-graz.ac.at
DecAlpha 3000/500, DecAlpha 3000/300, DecAlpha 3000/400, TurboNeXT, Decstation 3100, Zeos 486DX/33 by hcye@quark.umd.edu
SGI Indigo 33 MHz Mips3000 by sherod@newton.Colorado.EDU
SUN SPARC 10/51: ??
Sparc 10 Model 30 by bruce@max.cchem.berkeley.edu
SGI Indy, SGI Iris Indigo XS4000 by schweigerw@bkfug.kfunigraz.ac.at
Pentium 90, ASUS Mainboard with 512 K cache and 48Mb RAM by lake@lola.phy.QueensU.CA
Midwest Micro Elite Soundbook with 100mhz DX4, 8MB RAM by wilson@math.wisc.edu
rs/6000 model 570 by twg9323@tamsun.tamu.edu
PowerMac 6100/60Mhz/16MB, 256 K cache by rjm@argon.chem.ucla.edu
IBM RS/6000 Mod. 340 by solinus@ibm930.rz.uni-duesseldorf.de
SGI 4D: 1 36 MHZ IP12 Processor FPU: MIPS R2010A/R3010 VLSI Floating Point Chip Revision: 4.0 CPU: MIPS R2000A/R3000 Processor Chip Revision: 3.0 Data cache size: 64 Kbytes Instruction cache size: 64 Kbytes Main memory size: 24 Mbytes by Robert Prus,Institute of Theoretical Physics, Warsaw University, Poland
IBM RS/6000 Mod. 320 and IBM RS/6000 Mod. 3AT by roger@eccles.psych.nwu.edu
NeXT/25 (with Mathematica 2.0 for NeXT) by chwe@chwe1.spc.uchicago.edu and karl@faepds01.tu-graz.ac.at
DecAlpha 3000/500** with MMA 2.2.3.0 by samr@wri.com
486DX/66(NeXTstep) by magnus@mimer.cap.ed.ac.uk
SUN Sparc 10 (Version:SPARC 2.2 ) by culioli@cas.ensmp.fr
PowerMac 7100/66Mhz/40MB, 256K cache by hcye@quark.umd.edu and by fago@engin.umich.edu
SUN Sparc 20/61 ($Version = SPARC2.2) by Michael_Christian_Nechyba@GS117.SP.CS.CMU.EDU
SPARC 10/41 with MMA 2.2 by trp@triton.dsto.gov.au
Dell Dimension XPS P90 with 16Mb RAM, 256K cache, Mathematica for Windows v2.2.2 (Notebook frontend) running under Windows NT v3.5(beta) by STRGA@snow.csv.warwick.ac.uk
PowerMac 7100/66Mhz/8MB, no cache by gupta@jolt.mt.att.com
Quadra 610/20MB, Quadra 610/20MB & PPC card, Quadra 610/20MB,PPC card,RAMDoubler by wagner@bullwinkle.cs.Colorado.EDU
486DX2/66, OS/2 2.1, 16 MB RAM, 256 K cache,Mathematica 2.2.3 for OS/2 by PPARKER@TWSUVM.UC.TWSU.EDU
PowerMac 8100/110Mhz by Roland Jakschewitz: CompuServe: 100520,2626 or AppleLink: GER.XSE0027
Pentium 60Mhz J-BOND Mainboard with 256K cache, 16Mb Virtual memory 25Meg, Kernel version 2.2 Windows Enhanced version Build Alpha2.2.1.981 by gregory@iglou.com
HP 9000/712/80, 64MB by bellon@clet.lpthe.jussieu.fr
P90 NEXTSTEP 3.3 and Mathematica 2.2 (no notebook!) by magnus@darwin.uchicago.edu
SPARCserver 690-52, 128MB RAM, Solaris 2.3 and SPARCstation 20-61, 32MB RAM, Solaris 2.3 and Mathematica 2.2 by kaufmann@ifm.mavt.ethz.ch
Quadra 650 with 16MB of RAM with MMA Student Version 2.2.1 by anl@co.whoi.edu
Midwest Micro Soundbook Plus: 75MHz Pentium, 8M RAM, 256K external cache by wagner@bullwinkle.cs.Colorado.EDU
SGI INDIGO2 XL (1 200 MHZ IP22 Processor) and SGI ONYX (2 150 MHZ IP19 Processors) by givl0001@gold.tc.umn.edu