spectral-norm benchmark N=5,500

Each chart bar shows how many times more Memory, one ↓ spectral-norm program used, compared to the program that used least Memory.

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.

    sortsort sort
  ×   Program Source Code CPU secs Elapsed secs Memory KB Code B ≈ CPU Load
1.0Pascal Free Pascal 15.7115.728423  1% 0% 100% 0%
97Fortran Intel #2 7.857.85776513  0% 1% 100% 0%
128Go #3 15.723.961,024536  99% 99% 99% 99%
128Go #2 15.784.151,024668  95% 96% 94% 96%
129C gcc 16.1316.141,032383  0% 100% 1% 0%
161Go 15.7015.691,288411  0% 1% 100% 1%
190C++ g++ 15.7015.711,520452  100% 1% 1% 0%
218C gcc #3 15.743.951,740463  100% 100% 100% 100%
219C gcc #4 8.532.151,7481139  100% 100% 100% 100%
219C++ g++ #6 7.962.001,7521044  100% 100% 100% 100%
220C++ g++ #8 7.881.991,7561278  99% 99% 100% 99%
222C gcc #5 8.282.091,776569  100% 100% 100% 99%
249Ada 2005 GNAT 15.6915.691,988710  0% 0% 100% 1%
410OCaml #2 15.6915.693,276377  1% 1% 100% 0%
424Fortran Intel #3 7.901.983,392638  99% 100% 99% 100%
437OCaml #3 16.024.313,496938  93% 94% 93% 92%
465Fortran Intel 7.911.993,716568  99% 100% 100% 99%
511Ada 2005 GNAT #3 15.703.974,0881702  99% 99% 99% 100%
512Perl #2 16 min16 min4,096343  32% 37% 0% 32%
528Ada 2005 GNAT #4 7.872.004,2242762  99% 99% 99% 98%
692Perl 213.16213.225,536333  0% 1% 1% 100%
724C++ g++ #5 7.962.005,7881044  100% 100% 100% 100%
724Haskell GHC #4 15.704.055,788984  95% 97% 99% 97%
810Python 3 #6 13 min13 min6,480328  1% 100% 0% 0%
907PHP #2 7 min7 min7,252397  1% 0% 100% 1%
918Perl #5 232.00232.067,340340  1% 0% 0% 100%
960Ruby 6 min6 min7,676292  94% 0% 7% 1%
1,099Haskell GHC #2 44.1220.778,788403  36% 39% 39% 100%
1,125Ruby #4 5 min5 min9,000326  0% 1% 100% 0%
1,160Lisp SBCL 20.9220.939,280625  1% 0% 100% 0%
1,193Perl #4 190.7749.439,540551  96% 96% 99% 96%
1,312Perl #3 16 min255.1510,492846  100% 100% 100% 100%
2,622Lisp SBCL #2 15.974.1820,972906  96% 95% 96% 96%
2,625Racket 39.8239.8221,000446  1% 0% 0% 100%
2,632Lisp SBCL #3 15.984.1921,052883  96% 96% 95% 96%
2,835Erlang #2 144.2136.6022,676747  99% 98% 99% 98%
2,940PHP #3 8 min126.5623,5161193  99% 99% 99% 99%
3,394Erlang 199.68199.7727,152507  29% 5% 25% 43%
3,586Erlang HiPE #2 71.1218.3928,684747  96% 97% 97% 97%
3,759Racket #2 37.8237.8230,068532  1% 0% 0% 100%
3,790Dart 16.0115.8830,320489  1% 1% 1% 99%
3,827Dart #5 16.7116.5730,612518  99% 1% 1% 1%
4,087Java  #2 16.534.2832,696950  96% 96% 96% 99%
4,104Racket #3 20.605.3932,832627  95% 95% 98% 95%
4,230Scala 16.0315.9633,840404  3% 20% 1% 100%
4,570Erlang HiPE 111.20111.2236,560507  0% 1% 99% 1%
4,863Scala #5 16.564.4138,900693  94% 93% 92% 97%
5,027C# Mono 21.9221.9240,212459  0% 1% 100% 1%
5,030Ruby #3 6 min102.0140,236828  96% 97% 96% 96%
5,130Java  16.9316.8641,036514  1% 96% 4% 1%
5,389C# Mono #2 22.045.7343,1081063  95% 97% 96% 97%
5,473Python 3 #5 13 min211.8543,784437  99% 99% 99% 99%
6,421F# Mono #3 18.636.6051,364720  67% 75% 73% 69%
6,424F# Mono #2 22.597.5951,388852  75% 76% 71% 77%
8,658Clojure #7 18.665.5169,264762  82% 88% 83% 88%
8,797Clojure #6 18.655.5370,372808  86% 84% 82% 87%
9,022Clojure #8 18.565.3772,172918  93% 86% 86% 82%
13,552Hack #2 52.1652.17108,416398  100% 1% 1% 0%
13,568Hack #3 54.3714.19108,5441195  97% 96% 95% 97%
84,205Ruby JRuby #4 250.63243.93673,640326  21% 24% 31% 28%
84,247Ruby JRuby 270.52263.40673,976292  27% 27% 20% 31%
84,446Ruby JRuby #2 16 min253.95675,568776  98% 98% 98% 98%
Rust Make Error898
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
220C++ g++ #2 7.921.991,7561330
465C++ g++ #7 7.921.993,7161283
29,744C gcc #2 2.322.32237,952669
61,170Python 3 #2 7.537.54489,356233
149,749Python 3 #3 75.1075.261,197,992379

 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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