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.

     sortsortsort
  ×   Program Source Code CPU secs Elapsed secs Memory KB Code B ≈ CPU Load
1.0Fortran Intel #2 7.867.87784513  0% 2% 100% 0%
1.0C gcc #5 7.901.99644569  100% 100% 100% 100%
1.0Fortran Intel #3 7.911.995,384638  100% 99% 100% 100%
1.0Rust 7.922.094,936898  95% 94% 95% 96%
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%
1.4C gcc #4 10.672.683801139  100% 100% 100% 100%
1.7C++ g++ #8 13.533.406441278  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%
2.0C gcc #3 15.743.95644463  100% 100% 100% 100%
2.0Pascal Free Pascal 15.7615.778423  1% 1% 0% 100%
2.0Go #2 15.814.161,096668  96% 95% 96% 94%
2.0Lisp SBCL #2 15.934.1517,912906  96% 96% 97% 97%
2.0Scala 16.0515.9721,408404  1% 1% 99% 2%
2.0Haskell GHC #4 16.084.151,392984  95% 97% 99% 97%
2.0Dart #5 16.1115.9419,768486  100% 2% 1% 1%
2.1Dart 16.1315.9619,500457  1% 1% 1% 100%
2.1Java  16.4816.4123,812514  1% 100% 1% 0%
2.1Java  #2 16.564.3020,064950  95% 96% 99% 96%
2.3OCaml #3 18.145.103,192938  93% 93% 95% 93%
2.4OCaml #2 18.8518.861,656377  0% 1% 1% 100%
2.6C gcc 20.7320.74364383  0% 100% 1% 1%
2.6Go 20.8020.801,024411  1% 0% 100% 1%
2.8Ada 2005 GNAT 21.7621.761,212710  1% 0% 1% 100%
2.9Racket #3 22.946.0019,540627  95% 95% 98% 95%
3.0Lisp SBCL #3 23.906.1520,192883  97% 97% 97% 98%
3.0Lisp SBCL 23.9123.9210,720625  1% 1% 0% 100%
3.6Racket #2 28.1728.1717,904532  0% 0% 9% 92%
3.6C++ g++ 28.4628.48872452  0% 100% 1% 1%
3.7C# Mono 29.4729.4819,476459  1% 1% 0% 100%
4.0Racket 31.1431.1316,892446  0% 1% 100% 0%
4.0F# Mono #2 31.489.6821,972852  78% 82% 83% 83%
4.0C# Mono #2 31.608.0919,0361063  98% 97% 98% 98%
5.4Clojure #8 42.1611.2549,204918  92% 92% 94% 97%
5.4Clojure #6 42.3811.4649,636808  90% 97% 92% 91%
5.5Clojure #7 42.8811.5849,756762  92% 95% 93% 91%
9.1Erlang HiPE #2 71.4518.1920,904747  98% 98% 98% 99%
14Haskell GHC #2 112.1837.849,880403  66% 65% 100% 66%
15Erlang HiPE 114.35114.3831,488507  0% 100% 0% 1%
27Perl #4 211.8054.416,644551  97% 98% 96% 98%
29Perl 226.90226.983,936333  1% 1% 0% 100%
37Ruby JRuby #4 290.28282.22647,796326  26% 36% 18% 24%
53Ruby JRuby 6 min6 min646,316292  31% 20% 21% 32%
56PHP #3 7 min110.1814,1361193  99% 99% 100% 99%
56PHP #2 7 min7 min4,688397  0% 100% 1% 1%
71Ruby #4 9 min9 min5,812326  1% 0% 65% 36%
80Ruby 10 min10 min6,712292  0% 1% 24% 77%
82Ruby #3 10 min168.1425,624828  96% 97% 97% 97%
119Python 3 #6 15 min15 min5,012328  0% 9% 91% 1%
131Python 3 #5 17 min258.4230,260437  99% 99% 99% 99%
133Python 3 #8 17 min17 min4,336449  0% 0% 1% 100%
134Perl #2 17 min17 min3,088343  1% 0% 100% 1%
135Perl #3 17 min267.098,192846  100% 99% 99% 100%
154Ruby JRuby #2 20 min5 min651,988776  99% 98% 98% 98%
Scala #2 Failed720
Scala #3 Failed982
Scala #4 Failed1006
"wrong" (different) algorithm / less comparable programs
0.3C gcc #2 2.282.28236,808669
1.0C++ g++ #7 8.072.039241283
1.5Python 3 #2 12.1512.16479,764233
2.1C++ g++ #2 16.644.196401330
13Python 3 #3 101.30101.81957,348379

 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

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