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 7.857.85776513  0% 1% 100% 0%
1.0Ada 2005 GNAT #4 7.872.004,2242762  99% 99% 99% 98%
1.0C++ g++ #8 7.881.991,7561278  99% 99% 100% 99%
1.0Fortran Intel #3 7.901.983,392638  99% 100% 99% 100%
1.0Fortran Intel 7.911.993,716568  99% 100% 100% 99%
1.0C++ g++ #6 7.962.001,7521044  100% 100% 100% 100%
1.0C++ g++ #5 7.962.005,7881044  100% 100% 100% 100%
1.1C gcc #5 8.282.091,776569  100% 100% 100% 99%
1.1C gcc #4 8.532.151,7481139  100% 100% 100% 100%
2.0OCaml #2 15.6915.693,276377  1% 1% 100% 0%
2.0Ada 2005 GNAT 15.6915.691,988710  0% 0% 100% 1%
2.0Go 15.7015.691,288411  0% 1% 100% 1%
2.0C++ g++ 15.7015.711,520452  100% 1% 1% 0%
2.0Haskell GHC #4 15.704.055,788984  95% 97% 99% 97%
2.0Ada 2005 GNAT #3 15.703.974,0881702  99% 99% 99% 100%
2.0Pascal Free Pascal 15.7115.728423  1% 0% 100% 0%
2.0Go #3 15.723.961,024536  99% 99% 99% 99%
2.0C gcc #3 15.743.951,740463  100% 100% 100% 100%
2.0Go #2 15.784.151,024668  95% 96% 94% 96%
2.0Lisp SBCL #2 15.974.1820,972906  96% 95% 96% 96%
2.0Lisp SBCL #3 15.984.1921,052883  96% 96% 95% 96%
2.0Dart 16.0115.8830,320489  1% 1% 1% 99%
2.0OCaml #3 16.024.313,496938  93% 94% 93% 92%
2.0Scala 16.0315.9633,840404  3% 20% 1% 100%
2.1C gcc 16.1316.141,032383  0% 100% 1% 0%
2.1Java  #2 16.534.2832,696950  96% 96% 96% 99%
2.1Scala #5 16.564.4138,900693  94% 93% 92% 97%
2.1Dart #5 16.7116.5730,612518  99% 1% 1% 1%
2.2Java  16.9316.8641,036514  1% 96% 4% 1%
2.3Clojure #8 18.375.2865,296918  84% 98% 83% 84%
2.4F# Mono #3 18.636.6051,364720  67% 75% 73% 69%
2.4Clojure #6 18.815.5866,268808  83% 80% 80% 95%
2.4Clojure #7 18.945.5966,668762  84% 89% 83% 85%
2.6Racket #3 20.605.3932,832627  95% 95% 98% 95%
2.7Lisp SBCL 20.9220.939,280625  1% 0% 100% 0%
2.8C# Mono 21.9221.9240,212459  0% 1% 100% 1%
2.8C# Mono #2 22.045.7343,1081063  95% 97% 96% 97%
2.9F# Mono #2 22.597.5951,388852  75% 76% 71% 77%
4.8Racket #2 37.8237.8230,068532  1% 0% 0% 100%
5.1Racket 39.8239.8221,000446  1% 0% 0% 100%
5.6Haskell GHC #2 44.1220.778,788403  36% 39% 39% 100%
7.6Hack #3 59.9717.95117,8441195  81% 93% 80% 82%
7.8Hack #2 61.4761.49116,484398  0% 100% 1% 0%
9.0Erlang HiPE #2 70.4418.0326,640747  97% 98% 98% 98%
15Erlang HiPE 118.68118.7233,604507  100% 0% 1% 1%
19Erlang #2 152.1838.5620,576747  98% 98% 99% 100%
24Perl #4 190.7749.439,540551  96% 96% 99% 96%
27Perl 213.16213.225,536333  0% 1% 1% 100%
27Erlang 213.78213.9225,948507  1% 17% 0% 83%
32Ruby JRuby #4 250.63243.93673,640326  21% 24% 31% 28%
34Ruby JRuby 270.52263.40673,976292  27% 27% 20% 31%
40Ruby #4 5 min5 min9,000326  0% 1% 100% 0%
49Ruby 6 min6 min7,676292  94% 0% 7% 1%
50Ruby #3 6 min102.0140,236828  96% 97% 96% 96%
60PHP #2 7 min7 min7,252397  1% 0% 100% 1%
64PHP #3 8 min126.5623,5161193  99% 99% 99% 99%
103Python 3 #6 13 min13 min6,480328  1% 100% 0% 0%
107Python 3 #5 13 min211.8543,784437  99% 99% 99% 99%
126Ruby JRuby #2 16 min253.95675,568776  98% 98% 98% 98%
127Perl #2 16 min16 min4,096343  32% 37% 0% 32%
130Perl #3 16 min255.1510,492846  100% 100% 100% 100%
Rust Make Error898
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
0.3C gcc #2 2.322.32237,952669
1.0Python 3 #2 7.537.54489,356233
1.0C++ g++ #2 7.921.991,7561330
1.0C++ g++ #7 7.921.993,7161283
9.6Python 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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