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 JRuby 270.52263.40673,976292  27% 27% 20% 31%
1.0Ruby 6 min6 min7,676292  94% 0% 7% 1%
1.1Ruby #4 5 min5 min9,000326  0% 1% 100% 0%
1.1Ruby JRuby #4 250.63243.93673,640326  21% 24% 31% 28%
1.1Python 3 #6 13 min13 min6,480328  1% 100% 0% 0%
1.1Perl 213.16213.225,536333  0% 1% 1% 100%
1.2Perl #2 16 min16 min4,096343  32% 37% 0% 32%
1.3OCaml #2 15.6915.693,276377  1% 1% 100% 0%
1.3C gcc 16.1316.141,032383  0% 100% 1% 0%
1.4PHP #2 7 min7 min7,252397  1% 0% 100% 1%
1.4Hack #2 55.4255.4476,352398  1% 1% 100% 0%
1.4Haskell GHC #2 44.1220.778,788403  36% 39% 39% 100%
1.4Scala 16.0315.9633,840404  3% 20% 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 min211.8543,784437  99% 99% 99% 99%
1.5Racket 39.8239.8221,000446  1% 0% 0% 100%
1.5C++ g++ 15.7015.711,520452  100% 1% 1% 0%
1.6Dart 15.9515.8324,480457  1% 1% 1% 100%
1.6C# Mono 21.8621.8720,092459  0% 1% 0% 100%
1.6C gcc #3 15.743.951,740463  100% 100% 100% 100%
1.7Dart #5 16.3716.2525,516486  100% 1% 1% 1%
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 7.857.85776513  0% 1% 100% 0%
1.8Java  16.9316.8641,036514  1% 96% 4% 1%
1.8Racket #2 37.8237.8230,068532  1% 0% 0% 100%
1.8Go #3 15.723.961,024536  99% 99% 99% 99%
1.9Perl #4 190.7749.439,540551  96% 96% 99% 96%
1.9Fortran Intel 7.911.993,716568  99% 100% 100% 99%
1.9C gcc #5 8.282.091,776569  100% 100% 100% 99%
2.1Lisp SBCL 20.9220.939,280625  1% 0% 100% 0%
2.1Racket #3 20.605.3932,832627  95% 95% 98% 95%
2.2Fortran Intel #3 7.901.983,392638  99% 100% 99% 100%
2.3Go #2 15.784.151,024668  95% 96% 94% 96%
2.4Scala #5 16.564.4138,900693  94% 93% 92% 97%
2.4Ada 2005 GNAT 15.6915.691,988710  0% 0% 100% 1%
2.5F# Mono #3 17.916.2729,848720  71% 68% 73% 75%
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%
2.8Ruby #3 6 min102.0140,236828  96% 97% 96% 96%
2.9Perl #3 16 min255.1510,492846  100% 100% 100% 100%
2.9F# Mono #2 22.317.3730,580852  73% 76% 75% 80%
3.0Lisp SBCL #3 15.984.1921,052883  96% 96% 95% 96%
3.1Lisp SBCL #2 15.974.1820,972906  96% 95% 96% 96%
3.1Clojure #8 18.375.2865,296918  84% 98% 83% 84%
3.2OCaml #3 16.024.313,496938  93% 94% 93% 92%
3.3Java  #2 16.534.2832,696950  96% 96% 96% 99%
3.4Haskell GHC #4 15.704.055,788984  95% 97% 99% 97%
3.6C++ g++ #6 7.962.001,7521044  100% 100% 100% 100%
3.6C++ g++ #5 7.962.005,7881044  100% 100% 100% 100%
3.6C# Mono #2 21.955.6424,7641063  98% 98% 97% 97%
3.9C gcc #4 8.532.151,7481139  100% 100% 100% 100%
4.1PHP #3 8 min126.5623,5161193  99% 99% 99% 99%
4.1Hack #3 57.6614.76141,9801195  98% 98% 98% 98%
4.4C++ g++ #8 7.881.991,7561278  99% 99% 100% 99%
5.8Ada 2005 GNAT #3 15.703.974,0881702  99% 99% 99% 100%
9.5Ada 2005 GNAT #4 7.872.004,2242762  99% 99% 99% 98%
Rust Make Error898
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
0.8Python 3 #2 7.537.54489,356233
1.3Python 3 #3 75.1075.261,197,992379
2.3C gcc #2 2.322.32237,952669
4.4C++ g++ #7 7.921.993,7161283
4.6C++ g++ #2 7.921.991,7561330

 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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