spectral-norm benchmark N=5,500

Each chart bar shows how many times slower, one ↓ spectral-norm program was, compared to the fastest program.

These are not the only programs that could be written. These are not the only compilers and interpreters. These are not the only programming languages.

Column × shows how many times more each program used compared to the benchmark program that used least.

    sort sortsort
  ×   Program Source Code CPU secs Elapsed secs Memory KB Code B ≈ CPU Load
1.0C gcc #5 7.901.99644569  100% 100% 100% 100%
1.0Fortran Intel #3 7.911.995,384638  100% 99% 100% 100%
1.0Fortran Intel 7.921.995,440568  99% 100% 100% 100%
1.0C++ g++ #5 7.972.009241044  100% 100% 100% 100%
1.0C++ g++ #6 7.972.019241044  100% 100% 100% 100%
1.2Ada 2005 GNAT #4 9.402.401,8802762  99% 98% 97% 98%
1.3C gcc #4 10.672.683801139  100% 100% 100% 100%
1.7C++ g++ #8 13.533.406441278  100% 100% 100% 100%
2.0C gcc #3 15.743.95644463  100% 100% 100% 100%
2.0Go #3 15.703.951,024536  99% 99% 99% 100%
2.0Ada 2005 GNAT #3 15.723.981,6161702  99% 99% 99% 99%
2.1Lisp SBCL #2 15.944.1317,772906  96% 97% 97% 97%
2.1Haskell GHC #4 16.084.151,392984  95% 97% 99% 97%
2.1Go #2 15.814.161,096668  96% 95% 96% 94%
2.2Java  #2 16.564.3020,064950  95% 96% 99% 96%
2.6OCaml #3 18.145.103,192938  93% 93% 95% 93%
3.0Racket #3 22.945.9921,612627  96% 95% 95% 97%
3.1Lisp SBCL #3 23.936.1720,072883  97% 97% 97% 97%
4.0Fortran Intel #2 7.867.87784513  0% 2% 100% 0%
4.1C# Mono #2 31.608.0919,0361063  98% 97% 98% 98%
4.9F# Mono #2 31.489.6821,972852  78% 82% 83% 83%
5.7Clojure #8 42.1611.2549,204918  92% 92% 94% 97%
5.8Clojure #6 42.3811.4649,636808  90% 97% 92% 91%
5.8Clojure #7 42.8811.5849,756762  92% 95% 93% 91%
7.9Pascal Free Pascal 15.7615.778423  1% 1% 0% 100%
8.0Dart #5 16.1115.9419,768486  100% 2% 1% 1%
8.0Dart 16.1315.9619,500457  1% 1% 1% 100%
8.0Scala 16.0515.9721,408404  1% 1% 99% 2%
8.3Java  16.4816.4123,812514  1% 100% 1% 0%
9.2Erlang HiPE #2 71.4518.1920,904747  98% 98% 98% 99%
9.5OCaml #2 18.8518.861,656377  0% 1% 1% 100%
10C gcc 20.7320.74364383  0% 100% 1% 1%
10Go 20.8020.801,024411  1% 0% 100% 1%
11Ada 2005 GNAT 21.7621.761,212710  1% 0% 1% 100%
12Lisp SBCL 23.3923.4010,176625  0% 0% 100% 0%
14C++ g++ 28.4628.48872452  0% 100% 1% 1%
14Racket #2 28.5028.4919,344532  0% 0% 1% 100%
15C# Mono 29.4729.4819,476459  1% 1% 0% 100%
16Racket 31.2831.2721,136446  0% 0% 1% 100%
19Haskell GHC #2 112.1837.849,880403  66% 65% 100% 66%
27Perl #4 211.8054.416,644551  97% 98% 96% 98%
56PHP #3 7 min110.1814,1361193  99% 99% 100% 99%
58Erlang HiPE 114.35114.3831,488507  0% 100% 0% 1%
85Ruby #3 10 min168.1425,624828  96% 97% 97% 97%
114Perl 226.90226.983,936333  1% 1% 0% 100%
127Python 3 #5 16 min252.9230,320437  99% 100% 99% 99%
135Perl #3 17 min267.098,192846  100% 99% 99% 100%
142Ruby JRuby #4 290.28282.22647,796326  26% 36% 18% 24%
156Ruby JRuby #2 20 min5 min651,988776  99% 98% 98% 98%
207Ruby JRuby 6 min6 min646,316292  31% 20% 21% 32%
223PHP #2 7 min7 min4,688397  0% 100% 1% 1%
280Ruby #4 9 min9 min5,812326  1% 0% 65% 36%
316Ruby 10 min10 min6,712292  0% 1% 24% 77%
474Python 3 #6 15 min15 min4,980328  97% 1% 4% 0%
531Perl #2 17 min17 min3,088343  1% 0% 100% 1%
Rust Make Error898
Scala #2 Failed720
Scala #3 Failed982
Scala #4 Failed1006
"wrong" (different) algorithm / less comparable programs
1.0C++ g++ #7 8.072.039241283
1.1C gcc #2 2.282.28236,808669
2.1C++ g++ #2 16.644.196401330
4.3Python 3 #2 8.528.53479,784233
38Python 3 #3 75.4975.59957,216379

 spectral-norm benchmark : Eigenvalue using the power method

You can write your own program for this task and contribute to the benchmarks game by following these general instructions.

More specifically:

diff program output N = 100 with this output file to check your program is correct before contributing.

We are trying to show the performance of various programming language implementations - so we ask that contributed programs not only give the correct result, but also use the same algorithm to calculate that result.

Each program should calculate the spectral norm of an infinite matrix A, with entries a11=1, a12=1/2, a21=1/3, a13=1/4, a22=1/5, a31=1/6, etc

Each program must implement 4 separate functions / procedures / methods like the C# program.

For more information see challenge #3 in Eric W. Weisstein, "Hundred-Dollar, Hundred-Digit Challenge Problems" and "Spectral Norm".

From MathWorld--A Wolfram Web Resource.
http://mathworld.wolfram.com/Hundred-DollarHundred-DigitChallengeProblems.html
http://mathworld.wolfram.com/SpectralNorm.html

Thanks to Sebastien Loisel for this benchmark.

Revised BSD license

  Home   Conclusions   License   Play