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%
59C gcc 20.6920.70468383  1% 0% 1% 100%
62C++ g++ #8 10.682.684961278  100% 100% 100% 100%
62C++ g++ #5 10.092.544961044  100% 100% 100% 100%
62C gcc #4 10.652.684961139  100% 100% 100% 100%
62C++ g++ #6 10.092.544961044  99% 99% 100% 100%
94C gcc #5 7.891.98752569  99% 99% 100% 100%
94C gcc #3 15.753.95752463  100% 100% 100% 100%
99Fortran Intel #2 7.857.85788513  1% 0% 0% 100%
128Go #2 15.784.151,024668  95% 96% 94% 96%
128Go #3 15.723.961,024536  99% 99% 99% 99%
134C++ g++ 20.7520.761,072452  1% 0% 100% 1%
161Go 15.7015.691,288411  0% 1% 100% 1%
166Fortran Intel #3 7.982.001,328638  100% 100% 100% 100%
169Fortran Intel 7.912.011,348568  99% 99% 99% 99%
187Ada 2005 GNAT 21.7621.771,492710  1% 1% 100% 0%
226OCaml #2 15.6915.701,804377  42% 0% 0% 58%
241Ada 2005 GNAT #3 16.914.341,9241702  99% 99% 99% 94%
241Ada 2005 GNAT #4 7.882.011,9282762  99% 99% 99% 99%
243Haskell GHC #4 15.704.041,940984  97% 97% 97% 97%
439OCaml #3 16.824.783,512938  93% 91% 92% 90%
497Perl #2 15 min15 min3,972343  85% 15% 0% 0%
591Haskell GHC #2 42.1620.294,724403  100% 37% 37% 35%
612Rust #2 15.6915.704,896485  1% 0% 0% 100%
639Rust #3 7.872.065,1121020  95% 96% 96% 96%
690Perl 200.90200.975,516333  0% 0% 0% 100%
700Python 3 #8 15 min15 min5,600449  0% 1% 100% 0%
808Python 3 #6 12 min12 min6,464328  1% 0% 0% 100%
906PHP #2 7 min7 min7,244397  96% 0% 5% 0%
1,121Ruby 6 min6 min8,964292  1% 0% 0% 100%
1,121Ruby #4 5 min5 min8,968326  0% 1% 100% 1%
1,168Perl #4 183.4747.039,340551  98% 97% 98% 97%
1,301Perl #3 15 min235.3610,404846  100% 100% 100% 100%
1,590Lisp SBCL 20.9220.9312,716625  1% 0% 1% 100%
2,198Dart 15.8715.8117,580457  1% 0% 1% 100%
2,479Racket 40.1640.1619,828446  33% 1% 67% 0%
2,512C# Mono 21.8621.8720,092459  0% 1% 0% 100%
2,572Erlang #2 152.1838.5620,576747  98% 98% 99% 100%
2,627Lisp SBCL #3 15.934.1421,012883  96% 97% 97% 96%
2,627Lisp SBCL #2 15.924.1421,012906  96% 97% 97% 96%
2,918Racket #2 37.7937.7923,340532  0% 1% 100% 0%
3,051PHP #3 7 min113.8524,4081193  98% 97% 100% 98%
3,096C# Mono #2 21.955.6424,7641063  98% 98% 97% 97%
3,188Java  17.1117.0625,500514  1% 1% 100% 1%
3,212Java  #2 17.604.5525,696950  96% 96% 97% 98%
3,244Erlang 213.78213.9225,948507  1% 17% 0% 83%
3,297Racket #3 20.665.4126,372627  95% 95% 98% 95%
3,330Erlang HiPE #2 70.4418.0326,640747  97% 98% 98% 98%
3,823F# Mono #2 22.317.3730,580852  73% 76% 75% 80%
4,201Erlang HiPE 118.68118.7233,604507  100% 0% 1% 1%
4,362Scala 16.8016.7234,896404  1% 0% 1% 100%
4,665Rust 19.306.8337,320811  72% 70% 70% 71%
5,165Ruby #3 6 min102.2041,320828  96% 96% 95% 95%
5,466Python 3 #5 13 min209.7643,728437  98% 98% 98% 98%
8,162Clojure #8 18.375.2865,296918  84% 98% 83% 84%
8,284Clojure #6 18.815.5866,268808  83% 80% 80% 95%
8,334Clojure #7 18.945.5966,668762  84% 89% 83% 85%
9,544Hack #2 55.4255.4476,352398  1% 1% 100% 0%
17,748Hack #3 57.6614.76141,9801195  98% 98% 98% 98%
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%
Scala #4 Failed1006
Scala #3 Failed982
Scala #2 Failed720
"wrong" (different) algorithm / less comparable programs
62C++ g++ #7 8.492.144921283
62C++ g++ #2 7.921.994961330
29,613C gcc #2 2.332.34236,904669
61,170Python 3 #2 11.0111.02489,356233
149,719Python 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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