spectral-norm benchmark N=5,500

Each chart bar shows how many times more Code, one ↓ spectral-norm program used, compared to the program that used least Code.

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
1.0Ruby 10 min10 min7,928292  0% 1% 1% 100%
1.0Ruby JRuby 6 min6 min626,584292  0% 1% 1% 100%
1.1JavaScript V8 15.7115.7210,884311  0% 1% 1% 100%
1.1Ruby #4 9 min9 min6,624326  1% 1% 1% 100%
1.1Ruby JRuby #4 294.82295.25605,320326  0% 1% 1% 100%
1.1Python 3 #6 15 min15 min5,004328  0% 1% 0% 100%
1.1JavaScript V8 #2 15.7015.718,812328  0% 1% 1% 100%
1.1Lua 243.58243.64940329  0% 0% 0% 100%
1.1Perl 216.22216.313,640333  0% 0% 0% 100%
1.2Perl #2 15 min15 min2,784343  0% 0% 0% 100%
1.3JavaScript V8 #3 15.7115.718,796373  0% 1% 1% 100%
1.3OCaml #2 18.8518.861,660377  0% 0% 0% 100%
1.3C gcc 20.7320.74364383  1% 0% 1% 100%
1.3C CINT 23 min23 min6,180394  0% 0% 0% 100%
1.4PHP #2 7 min7 min4,848397  0% 0% 0% 100%
1.4Haskell GHC #2 35.1035.123,512403  0% 1% 1% 100%
1.4Scala 16.0016.0118,580404  1% 0% 0% 100%
1.4Go 20.8120.821,032411  1% 1% 0% 100%
1.4Pascal Free Pascal 15.7615.768423  0% 0% 0% 100%
1.5Python 3 #5 17 min17 min30,308437  0% 1% 1% 100%
1.5Smalltalk VisualWorks #2 95.3495.4027,236438  0% 0% 0% 100%
1.5Racket 31.5631.5816,884446  1% 1% 0% 100%
1.5Python 3 #8 17 min17 min4,332449  0% 0% 0% 100%
1.5C++ g++ 28.4828.49872452  1% 0% 1% 100%
1.6Dart 22.0522.0615,200457  1% 0% 0% 100%
1.6C# Mono 29.4729.4819,476459  0% 1% 0% 100%
1.6C gcc #3 15.6915.70644463  0% 1% 1% 100%
1.7Rust 32.8932.904,808492  0% 1% 1% 100%
1.7Erlang HiPE 59.1459.1613,652507  0% 0% 0% 100%
1.8Fortran Intel #2 7.857.85780513  0% 1% 1% 100%
1.8Java  16.5216.5317,180514  0% 0% 1% 100%
1.8Rust #2 32.8932.904,676525  0% 1% 1% 100%
1.8Racket #2 28.2228.2317,912532  0% 0% 1% 100%
1.8Go #3 15.7015.711,560536  1% 1% 0% 100%
1.9Fortran Intel 7.867.871,300568  0% 1% 0% 100%
1.9C gcc #5 7.857.85644569  0% 0% 1% 100%
2.1Lisp SBCL 23.7823.798,828625  1% 1% 0% 100%
2.1Racket #3 23.0823.0919,560627  0% 0% 1% 100%
2.2Fortran Intel #3 7.857.861,276638  0% 0% 0% 100%
2.3Go #2 15.7015.711,036668  1% 1% 0% 100%
2.4Ada 2005 GNAT 21.7621.761,212710  1% 0% 1% 100%
2.5Scala #2 16.2616.2719,688720  0% 1% 1% 100%
2.6Erlang HiPE #2 45.1245.1310,164747  0% 0% 0% 100%
2.6Clojure #7 42.7442.7645,828762  0% 1% 1% 100%
2.7Ruby JRuby #2 5 min5 min627,232776  0% 1% 1% 100%
2.8Clojure #6 42.1842.1945,128808  0% 1% 1% 100%
2.8Ruby #3 11 min11 min26,856828  0% 1% 1% 100%
2.9Perl #3 16 min16 min7,320846  0% 0% 0% 100%
2.9F# Mono #2 31.3732.1621,972852  0% 1% 1% 98%
3.0Lisp SBCL #3 23.3923.4119,232883  1% 0% 0% 100%
3.1Lisp SBCL #2 15.9215.9319,208906  1% 1% 0% 100%
3.1Clojure #8 41.7341.7448,012918  1% 1% 0% 100%
3.2OCaml #3 17.9718.923,264938  0% 0% 0% 100%
3.3Java  #2 16.2616.2716,416950  1% 1% 0% 100%
3.4Haskell GHC #4 15.7015.701,184984  0% 1% 0% 100%
3.6C++ g++ #6 7.927.939241044  0% 1% 1% 100%
3.6C++ g++ #5 7.927.939241044  1% 1% 1% 100%
3.6C# Mono #2 31.5431.5518,9841063  0% 0% 1% 100%
3.9C gcc #4 10.6210.636441139  0% 0% 1% 100%
4.1PHP #3 7 min7 min14,5241193  0% 0% 0% 100%
4.4C++ g++ #8 13.4413.446441278  0% 0% 1% 100%
5.8Ada 2005 GNAT #3 15.7015.721,6161702  0% 1% 1% 100%
9.5Ada 2005 GNAT #4 9.249.261,8802762  0% 1% 1% 100%
Perl #4 Failed551
Scala #3 Failed982
Scala #4 Failed1006
"wrong" (different) algorithm / less comparable programs
0.8Python 3 #2 12.1412.16482,352233
1.3Python 3 #3 101.22101.71957,344379
2.3C gcc #2 2.272.28236,808669
4.4C++ g++ #7 7.987.989241283
4.6C++ g++ #2 16.3416.346441330

 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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