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 7.912.001,296638  99% 99% 99% 99%
1.0C++ g++ #5 7.972.009241044  100% 100% 100% 100%
1.0Fortran Intel 7.932.001,316568  99% 99% 100% 99%
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 15.703.951,292536  99% 99% 99% 99%
2.0Ada 2005 GNAT #3 15.723.981,6161702  99% 99% 99% 99%
2.0Haskell GHC #4 15.704.041,420984  97% 97% 97% 98%
2.1Go #2 15.764.111,296668  96% 96% 96% 96%
2.1Lisp SBCL #2 15.974.1919,208906  96% 95% 95% 97%
2.2Java  #2 16.564.3020,064950  95% 96% 99% 96%
2.3Rust #3 17.764.544,9801020  98% 98% 98% 98%
2.7OCaml #3 18.245.273,232938  87% 97% 95% 85%
3.0Racket #3 22.946.0019,540627  95% 95% 98% 95%
3.1Lisp SBCL #3 23.456.0920,336883  97% 96% 97% 97%
3.5Rust 19.226.9037,412811  71% 70% 70% 69%
4.0Fortran Intel #2 7.857.86780513  1% 1% 2% 100%
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%
5.8Erlang HiPE #2 45.0111.5114,436747  99% 98% 98% 98%
5.8Clojure #7 42.8811.5849,756762  92% 95% 93% 91%
7.9Rust #2 15.7015.714,784485  1% 0% 0% 100%
7.9Pascal Free Pascal 15.7615.778423  1% 1% 0% 100%
8.0Dart 15.9515.8415,400457  1% 1% 1% 100%
8.0Scala 16.0515.9721,408404  1% 1% 99% 2%
8.3Java  16.4816.4123,812514  1% 100% 1% 0%
9.5OCaml #2 18.8518.861,660377  1% 0% 0% 100%
10C gcc 20.7320.74364383  0% 100% 1% 1%
10Go 20.8120.811,032411  0% 1% 98% 3%
11Ada 2005 GNAT 21.7621.761,212710  1% 0% 1% 100%
12Lisp SBCL 23.7823.798,824625  1% 1% 0% 100%
14Racket #2 28.1728.1717,904532  0% 0% 9% 92%
14C++ g++ 28.4628.48872452  0% 100% 1% 1%
15C# Mono 29.4729.4819,476459  1% 1% 0% 100%
16Racket 31.1431.1316,892446  0% 1% 100% 0%
18Haskell GHC #2 106.4836.423,784403  63% 65% 65% 100%
27Perl #4 212.5754.356,780551  97% 98% 98% 99%
29Erlang HiPE 56.6856.6914,912507  100% 0% 0% 0%
55PHP #3 7 min108.8614,3721193  99% 99% 99% 99%
89Ruby #3 11 min175.9127,760828  96% 96% 96% 97%
116Perl 229.81229.893,860333  96% 0% 0% 4%
130Ruby JRuby #2 16 min258.29644,372776  99% 98% 98% 98%
130Python 3 #5 17 min258.4230,260437  99% 99% 99% 99%
136Perl #3 17 min269.367,976846  100% 99% 99% 100%
137Ruby JRuby #4 277.05271.29619,976326  19% 43% 24% 18%
179Ruby JRuby 6 min5 min644,372292  23% 29% 25% 27%
207PHP #2 6 min6 min4,688397  0% 0% 1% 100%
305Ruby #4 10 min10 min6,016326  28% 1% 72% 1%
352Ruby 11 min11 min6,024292  1% 1% 1% 100%
472Python 3 #6 15 min15 min5,012328  0% 9% 91% 1%
527Python 3 #8 17 min17 min4,336449  0% 0% 1% 100%
538Perl #2 17 min17 min3,076343  99% 0% 0% 1%
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
6.1Python 3 #2 12.1512.16479,764233
51Python 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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