spectral-norm benchmark N=5,500

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

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
1.0Ruby 6 min6 min8,964292  1% 0% 0% 100%
1.0Ruby JRuby 270.52263.40673,976292  27% 27% 20% 31%
1.1Ruby JRuby #4 250.63243.93673,640326  21% 24% 31% 28%
1.1Ruby #4 5 min5 min8,968326  0% 1% 100% 1%
1.1Python 3 #6 12 min12 min6,464328  1% 0% 0% 100%
1.1Perl 200.90200.975,516333  0% 0% 0% 100%
1.2Perl #2 15 min15 min3,972343  85% 15% 0% 0%
1.3OCaml #2 15.6915.701,804377  42% 0% 0% 58%
1.3C gcc 20.6920.70468383  1% 0% 1% 100%
1.4PHP #2 7 min7 min7,244397  96% 0% 5% 0%
1.4Hack #2 55.5755.5984,712398  0% 1% 100% 0%
1.4Haskell GHC #2 42.1620.294,724403  100% 37% 37% 35%
1.4Scala 16.8016.7234,896404  1% 0% 1% 100%
1.4Go 15.7015.691,288411  0% 1% 100% 1%
1.4Pascal Free Pascal 15.7115.728423  1% 0% 100% 0%
1.5Python 3 #5 13 min209.7643,728437  98% 98% 98% 98%
1.5Racket 40.1640.1619,828446  33% 1% 67% 0%
1.5Python 3 #8 15 min15 min5,600449  0% 1% 100% 0%
1.5C++ g++ 20.7520.761,072452  1% 0% 100% 1%
1.6Dart 15.8715.8117,580457  1% 0% 1% 100%
1.6C# Mono 21.8621.8720,092459  0% 1% 0% 100%
1.6C gcc #3 15.753.95752463  100% 100% 100% 100%
1.7Rust #2 15.6915.704,896485  1% 0% 0% 100%
1.7Erlang HiPE 118.68118.7233,604507  100% 0% 1% 1%
1.7Erlang 213.78213.9225,948507  1% 17% 0% 83%
1.8Fortran Intel #2 7.857.85788513  1% 0% 0% 100%
1.8Java  17.1117.0625,500514  1% 1% 100% 1%
1.8Racket #2 37.7937.7923,340532  0% 1% 100% 0%
1.8Go #3 15.723.961,024536  99% 99% 99% 99%
1.9Perl #4 183.4747.039,340551  98% 97% 98% 97%
1.9Fortran Intel 7.912.011,348568  99% 99% 99% 99%
1.9C gcc #5 7.891.98752569  99% 99% 100% 100%
2.1Lisp SBCL 20.9220.9312,716625  1% 0% 1% 100%
2.1Racket #3 20.665.4126,372627  95% 95% 98% 95%
2.2Fortran Intel #3 7.982.001,328638  100% 100% 100% 100%
2.3Go #2 15.784.151,024668  95% 96% 94% 96%
2.4Ada 2005 GNAT 21.7621.771,492710  1% 1% 100% 0%
2.6Erlang HiPE #2 70.4418.0326,640747  97% 98% 98% 98%
2.6Erlang #2 152.1838.5620,576747  98% 98% 99% 100%
2.6Clojure #7 18.945.5966,668762  84% 89% 83% 85%
2.7Ruby JRuby #2 16 min253.95675,568776  98% 98% 98% 98%
2.8Clojure #6 18.815.5866,268808  83% 80% 80% 95%
2.8Rust 19.306.8337,320811  72% 70% 70% 71%
2.8Ruby #3 6 min102.2041,320828  96% 96% 95% 95%
2.9Perl #3 15 min235.3610,404846  100% 100% 100% 100%
2.9F# Mono #2 22.317.3730,580852  73% 76% 75% 80%
3.0Lisp SBCL #3 15.934.1421,012883  96% 97% 97% 96%
3.1Lisp SBCL #2 15.924.1421,012906  96% 97% 97% 96%
3.1Clojure #8 18.375.2865,296918  84% 98% 83% 84%
3.2OCaml #3 16.824.783,512938  93% 91% 92% 90%
3.3Java  #2 17.604.5525,696950  96% 96% 97% 98%
3.4Haskell GHC #4 15.704.041,940984  97% 97% 97% 97%
3.5Rust #3 7.872.065,1121020  95% 96% 96% 96%
3.6C++ g++ #5 10.092.544961044  100% 100% 100% 100%
3.6C++ g++ #6 10.092.544961044  99% 99% 100% 100%
3.6C# Mono #2 21.955.6424,7641063  98% 98% 97% 97%
3.9C gcc #4 10.652.684961139  100% 100% 100% 100%
4.1PHP #3 7 min113.8524,4081193  98% 97% 100% 98%
4.1Hack #3 55.8514.32162,5121195  97% 97% 97% 99%
4.4C++ g++ #8 10.682.684961278  100% 100% 100% 100%
5.8Ada 2005 GNAT #3 16.914.341,9241702  99% 99% 99% 94%
9.5Ada 2005 GNAT #4 7.882.011,9282762  99% 99% 99% 99%
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
0.8Python 3 #2 11.0111.02489,356233
1.3Python 3 #3 96.4397.021,197,752379
2.3C gcc #2 2.332.34236,904669
4.4C++ g++ #7 8.492.144921283
4.6C++ g++ #2 7.921.994961330

 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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