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 7.891.98752569  99% 99% 100% 100%
1.0Fortran Intel #3 7.901.983,392638  99% 100% 99% 100%
1.0Fortran Intel 7.911.993,716568  99% 100% 100% 99%
1.0Ada 2005 GNAT #4 7.882.011,9282762  99% 99% 99% 99%
1.0Rust 7.892.045,028898  97% 97% 98% 98%
1.3C++ g++ #5 10.092.544961044  100% 100% 100% 100%
1.3C++ g++ #6 10.092.544961044  99% 99% 100% 100%
1.3C gcc #4 10.652.684961139  100% 100% 100% 100%
1.4C++ g++ #8 10.682.684961278  100% 100% 100% 100%
2.0C gcc #3 15.753.95752463  100% 100% 100% 100%
2.0Go #3 15.723.961,024536  99% 99% 99% 99%
2.0Haskell GHC #4 15.704.055,788984  95% 97% 99% 97%
2.1Lisp SBCL #2 15.924.1421,012906  96% 97% 97% 96%
2.1Lisp SBCL #3 15.934.1421,012883  96% 97% 97% 96%
2.1Go #2 15.784.151,024668  95% 96% 94% 96%
2.2OCaml #3 16.024.313,496938  93% 94% 93% 92%
2.2Ada 2005 GNAT #3 16.914.341,9241702  99% 99% 99% 94%
2.3Java  #2 17.604.5525,696950  96% 96% 97% 98%
2.7Clojure #8 18.375.2865,296918  84% 98% 83% 84%
2.7Racket #3 20.665.4126,372627  95% 95% 98% 95%
2.8Clojure #6 18.815.5866,268808  83% 80% 80% 95%
2.8Clojure #7 18.945.5966,668762  84% 89% 83% 85%
2.8C# Mono #2 21.955.6424,7641063  98% 98% 97% 97%
3.7F# Mono #2 22.317.3730,580852  73% 76% 75% 80%
4.0Fortran Intel #2 7.857.85776513  0% 1% 100% 0%
7.4Hack #3 57.6614.76141,9801195  98% 98% 98% 98%
7.9OCaml #2 15.6915.693,276377  1% 1% 100% 0%
7.9Go 15.7015.691,288411  0% 1% 100% 1%
7.9Pascal Free Pascal 15.7115.728423  1% 0% 100% 0%
8.0Dart 15.9515.8324,480457  1% 1% 1% 100%
8.2Dart #5 16.3716.2525,516486  100% 1% 1% 1%
8.4Scala 16.8016.7234,896404  1% 0% 1% 100%
8.6Java  17.1117.0625,500514  1% 1% 100% 1%
9.1Erlang HiPE #2 70.4418.0326,640747  97% 98% 98% 98%
10C gcc 20.6920.70468383  1% 0% 1% 100%
10C++ g++ 20.7520.761,072452  1% 0% 100% 1%
10Haskell GHC #2 44.1220.778,788403  36% 39% 39% 100%
11Lisp SBCL 20.9220.9312,716625  1% 0% 1% 100%
11Ada 2005 GNAT 21.7621.771,492710  1% 1% 100% 0%
11C# Mono 21.8621.8720,092459  0% 1% 0% 100%
19Racket #2 37.7937.7923,340532  0% 1% 100% 0%
19Erlang #2 152.1838.5620,576747  98% 98% 99% 100%
20Racket 40.1640.1619,828446  33% 1% 67% 0%
25Perl #4 190.7749.439,540551  96% 96% 99% 96%
28Hack #2 55.4255.4476,352398  1% 1% 100% 0%
51Ruby #3 6 min102.0140,236828  96% 97% 96% 96%
60Erlang HiPE 118.68118.7233,604507  100% 0% 1% 1%
64PHP #3 8 min126.5623,5161193  99% 99% 99% 99%
106Python 3 #5 13 min209.7643,728437  98% 98% 98% 98%
107Perl 213.16213.225,536333  0% 1% 1% 100%
108Erlang 213.78213.9225,948507  1% 17% 0% 83%
123Ruby JRuby #4 250.63243.93673,640326  21% 24% 31% 28%
128Ruby JRuby #2 16 min253.95675,568776  98% 98% 98% 98%
129Perl #3 16 min255.1510,492846  100% 100% 100% 100%
133Ruby JRuby 270.52263.40673,976292  27% 27% 20% 31%
158Ruby #4 5 min5 min9,000326  0% 1% 100% 0%
193Ruby 6 min6 min7,676292  94% 0% 7% 1%
237PHP #2 7 min7 min7,252397  1% 0% 100% 1%
383Python 3 #6 12 min12 min6,464328  1% 0% 0% 100%
467Python 3 #8 15 min15 min5,600449  0% 1% 100% 0%
501Perl #2 16 min16 min4,096343  32% 37% 0% 32%
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
1.0C++ g++ #2 7.921.994961330
1.1C++ g++ #7 8.492.144921283
1.2C gcc #2 2.332.34236,904669
5.6Python 3 #2 11.0111.02489,356233
49Python 3 #3 96.4397.021,197,752379

 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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