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 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 15.7715.778423  0% 100% 1% 1%
47C gcc 20.7320.74372383  0% 1% 100% 0%
49C gcc #4 10.652.673921139  100% 100% 100% 100%
82C gcc #3 15.743.95652463  100% 100% 100% 100%
82C++ g++ #8 13.283.336521278  100% 100% 100% 100%
82C gcc #5 7.871.98652569  99% 100% 99% 99%
98Fortran Intel #2 7.857.86780513  1% 1% 2% 100%
111C++ g++ 28.5628.57884452  0% 1% 100% 1%
117C++ g++ #5 7.962.009361044  100% 100% 100% 100%
117C++ g++ #6 7.962.009361044  100% 100% 100% 100%
122Go #2 20.835.39976668  97% 97% 96% 96%
155Ada 2005 GNAT 21.7621.771,236710  0% 1% 100% 0%
162Fortran Intel #3 7.912.001,296638  99% 99% 99% 99%
165Fortran Intel 7.932.001,316568  99% 99% 100% 99%
178Haskell GHC #4 15.704.041,420984  97% 97% 97% 98%
181Go #3 20.765.211,448536  100% 100% 100% 100%
183Go 15.7715.771,460411  0% 100% 1% 1%
205Ada 2005 GNAT #3 15.724.031,6401702  98% 98% 98% 98%
208OCaml #2 18.8518.861,660377  1% 0% 0% 100%
217Rust 37.2912.831,732835  74% 73% 72% 73%
238Ada 2005 GNAT #4 9.402.401,9042762  98% 98% 99% 98%
385Perl #2 17 min17 min3,076343  99% 0% 0% 1%
404OCaml #3 18.245.273,232938  87% 97% 95% 85%
473Haskell GHC #2 106.4836.423,784403  63% 65% 65% 100%
483Perl 229.81229.893,860333  96% 0% 0% 4%
542Python 3 #8 17 min17 min4,336449  0% 0% 1% 100%
570Lisp SBCL #2 15.744.034,560906  98% 98% 98% 98%
571Lisp SBCL #3 22.555.754,568883  98% 98% 98% 98%
586PHP #2 6 min6 min4,688397  0% 0% 1% 100%
627Python 3 #6 15 min15 min5,012328  0% 9% 91% 1%
680Ruby #4 12 min12 min5,436326  99% 0% 0% 1%
705Lisp SBCL 24.4124.425,636625  1% 0% 0% 100%
848Perl #4 212.5754.356,780551  97% 98% 98% 99%
990Ruby 10 min10 min7,920292  0% 0% 0% 100%
997Perl #3 17 min269.367,976846  100% 99% 99% 100%
1,797PHP #3 7 min108.8614,3721193  99% 99% 99% 99%
1,805Erlang HiPE #2 45.0111.5114,436747  99% 98% 98% 98%
1,830C# Mono #2 29.507.4914,6361063  99% 99% 99% 99%
1,864Erlang HiPE 56.6856.6914,912507  100% 0% 0% 0%
1,896C# Mono 30.9630.9815,168459  1% 0% 0% 100%
2,058Java  #2 16.564.2916,460950  96% 96% 99% 96%
2,112Racket 31.1431.1316,892446  0% 1% 100% 0%
2,121Java  16.5016.4416,968514  0% 1% 100% 0%
2,197F# Mono #2 29.769.1417,572852  79% 80% 86% 81%
2,238Racket #2 28.1728.1717,904532  0% 0% 9% 92%
2,317Scala 16.0415.9718,536404  99% 1% 0% 2%
2,443Racket #3 22.946.0019,540627  95% 95% 98% 95%
2,491Scala #2 16.614.3519,928720  94% 95% 99% 94%
3,364Ruby #3 10 min166.2926,908828  97% 97% 97% 97%
3,721Dart 23.0822.9829,768457  0% 1% 100% 1%
3,783Python 3 #5 17 min258.4230,260437  99% 99% 99% 99%
5,665Clojure #6 42.3111.4645,320808  97% 90% 91% 91%
5,821Clojure #7 42.7611.5646,568762  91% 95% 94% 90%
75,652Ruby JRuby #4 297.72292.36605,212326  18% 38% 33% 15%
76,445Ruby JRuby #2 12 min197.76611,560776  98% 98% 98% 98%
78,371Ruby JRuby 6 min6 min626,968292  23% 22% 23% 35%
Scala #3 Failed982
Scala #4 Failed1006
"wrong" (different) algorithm / less comparable programs
117C++ g++ #7 8.062.039361283
117C++ g++ #2 16.564.159361330
29,614C gcc #2 4.004.00236,912669
59,971Python 3 #2 12.1512.16479,764233
119,669Python 3 #3 101.30101.81957,348379

 spectral-norm benchmark : Eigenvalue using the power method

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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