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 7.857.85788513  1% 0% 0% 100%
1.0Rust #3 7.872.065,1121020  95% 96% 96% 96%
1.0Ada 2005 GNAT #4 7.882.011,9282762  99% 99% 99% 99%
1.0C gcc #5 7.891.98752569  99% 99% 100% 100%
1.0Fortran Intel 7.912.011,348568  99% 99% 99% 99%
1.0Fortran Intel #3 7.982.001,328638  100% 100% 100% 100%
1.3C++ g++ #5 10.092.544961044  100% 100% 100% 100%
1.3C++ g++ #6 10.092.544961044  99% 99% 100% 100%
1.4C gcc #4 10.652.684961139  100% 100% 100% 100%
1.4C++ g++ #8 10.682.684961278  100% 100% 100% 100%
2.0OCaml #2 15.6915.701,804377  42% 0% 0% 58%
2.0Rust #2 15.6915.704,896485  1% 0% 0% 100%
2.0Haskell GHC #4 15.704.041,940984  97% 97% 97% 97%
2.0Go #3 15.703.961,816536  99% 99% 99% 99%
2.0Go 15.7115.701,296411  1% 1% 0% 99%
2.0Pascal Free Pascal 15.7115.728423  1% 0% 100% 0%
2.0C gcc #3 15.753.95752463  100% 100% 100% 100%
2.0Go #2 15.774.111,296668  96% 96% 96% 96%
2.0Lisp SBCL #2 15.914.1223,184906  96% 97% 97% 97%
2.0Lisp SBCL #3 15.914.1323,184883  97% 97% 96% 97%
2.1OCaml #3 16.824.783,512938  93% 91% 92% 90%
2.2Ada 2005 GNAT #3 16.914.341,9241702  99% 99% 99% 94%
2.2Java  17.1217.0620,908514  99% 1% 1% 1%
2.2Scala 17.5917.5123,204404  1% 0% 1% 100%
2.3Java  #2 17.804.5921,132950  97% 96% 99% 96%
2.3Scala #2 17.814.6325,420720  100% 95% 95% 95%
2.3Clojure #8 18.305.2564,960918  84% 83% 98% 85%
2.4Clojure #6 18.765.5364,384808  83% 81% 81% 95%
2.4Clojure #7 18.785.5860,924762  82% 81% 82% 93%
2.5Rust 19.306.8337,320811  72% 70% 70% 71%
2.6Racket #3 20.665.4126,372627  95% 95% 98% 95%
2.6C gcc 20.6920.70468383  1% 0% 1% 100%
2.6C++ g++ 20.7520.761,072452  1% 0% 100% 1%
2.7Lisp SBCL 21.2821.2912,752625  0% 1% 100% 0%
2.8Ada 2005 GNAT 21.7621.771,492710  1% 1% 100% 0%
2.8C# Mono 21.8621.8720,092459  0% 1% 0% 100%
2.8C# Mono #2 21.955.6424,7641063  98% 98% 97% 97%
2.8Dart 22.0721.9318,056457  1% 1% 1% 100%
2.8F# Mono #2 22.317.3730,580852  73% 76% 75% 80%
4.8Racket #2 37.7937.7923,340532  0% 1% 100% 0%
5.1Racket 40.1640.1619,828446  33% 1% 67% 0%
5.4Haskell GHC #2 42.1620.294,724403  100% 37% 37% 35%
6.0Erlang HiPE #2 47.4812.0922,836747  99% 98% 98% 98%
7.1Hack #2 55.5755.5984,712398  0% 1% 100% 0%
7.1Hack #3 55.8514.32162,5121195  97% 97% 97% 99%
7.2Erlang HiPE 56.7756.7817,920507  75% 25% 0% 0%
19Erlang #2 145.6136.7816,772747  99% 99% 99% 99%
23Perl #4 183.4747.039,340551  98% 97% 98% 97%
26Perl 200.90200.975,516333  0% 0% 0% 100%
28Erlang 222.95223.0319,936507  90% 10% 0% 0%
32Ruby JRuby #4 251.58245.32660,988326  29% 35% 17% 24%
34Ruby JRuby 270.56263.82656,884292  34% 22% 18% 31%
41Ruby #4 5 min5 min9,452326  1% 100% 0% 0%
48Ruby #3 6 min98.7042,696828  96% 96% 97% 97%
50Ruby 6 min6 min8,972292  1% 100% 0% 0%
57PHP #2 7 min7 min7,244397  96% 0% 5% 0%
57PHP #3 7 min113.8524,4081193  98% 97% 100% 98%
97Python 3 #6 12 min12 min6,464328  1% 0% 0% 100%
105Python 3 #5 13 min209.7643,728437  98% 98% 98% 98%
118Python 3 #8 15 min15 min5,600449  0% 1% 100% 0%
119Perl #2 15 min15 min3,972343  85% 15% 0% 0%
120Perl #3 15 min235.3610,404846  100% 100% 100% 100%
124Ruby JRuby #2 16 min250.73668,044776  98% 98% 98% 98%
Scala #4 Failed1006
Scala #3 Failed982
"wrong" (different) algorithm / less comparable programs
0.3C gcc #2 2.332.34236,904669
1.0C++ g++ #2 7.921.994961330
1.1C++ g++ #7 8.492.144921283
1.4Python 3 #2 11.0111.02489,356233
12Python 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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