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 15.7615.768423  0% 0% 0% 100%
46C gcc 20.7320.74364383  1% 0% 1% 100%
81C gcc #5 7.857.85644569  0% 0% 1% 100%
81C gcc #3 15.6915.70644463  0% 1% 1% 100%
81C++ g++ #8 13.4413.446441278  0% 0% 1% 100%
81C gcc #4 10.6210.636441139  0% 0% 1% 100%
98Fortran Intel #2 7.857.85780513  0% 1% 1% 100%
109C++ g++ 28.4828.49872452  1% 0% 1% 100%
116C++ g++ #6 7.927.939241044  0% 1% 1% 100%
116C++ g++ #5 7.927.939241044  1% 1% 1% 100%
118Lua 243.58243.64940329  0% 0% 0% 100%
129Go 20.8020.811,028411  0% 1% 1% 100%
129Go #2 15.7015.711,028668  0% 0% 1% 100%
148Haskell GHC #4 15.7015.701,184984  0% 1% 0% 100%
152Ada 2005 GNAT 21.7621.761,212710  1% 0% 1% 100%
160Fortran Intel #3 7.857.861,276638  0% 0% 0% 100%
161Go #3 15.7015.711,284536  0% 1% 1% 100%
163Fortran Intel 7.867.871,300568  0% 1% 0% 100%
202Ada 2005 GNAT #3 15.7015.721,6161702  0% 1% 1% 100%
208OCaml #2 18.8518.861,660377  0% 0% 0% 100%
235Ada 2005 GNAT #4 9.249.261,8802762  0% 1% 1% 100%
348Perl #2 15 min15 min2,784343  0% 0% 0% 100%
408OCaml #3 17.9718.923,264938  0% 0% 0% 100%
439Haskell GHC #2 35.1035.123,512403  0% 1% 1% 100%
455Perl 216.22216.313,640333  0% 0% 0% 100%
542Python 3 #8 17 min17 min4,332449  0% 0% 0% 100%
598Rust #2 15.7115.714,784485  1% 0% 0% 100%
606PHP #2 7 min7 min4,848397  0% 0% 0% 100%
626Python 3 #6 15 min15 min5,004328  0% 1% 0% 100%
752Ruby #4 10 min10 min6,016326  0% 1% 1% 100%
754Ruby 11 min11 min6,032292  0% 1% 1% 100%
773C CINT 23 min23 min6,180394  0% 0% 0% 100%
871Rust #3 17.7417.746,9641020  1% 0% 0% 100%
915Perl #3 16 min16 min7,320846  0% 0% 0% 100%
1,144JavaScript V8 15.7115.729,152311  1% 0% 1% 100%
1,340Lisp SBCL 23.9023.9110,720625  1% 1% 0% 100%
1,397JavaScript V8 #3 15.7015.7111,176373  1% 0% 1% 100%
1,398JavaScript V8 #2 15.7115.7111,180328  1% 1% 0% 100%
1,781Erlang HiPE #2 70.1270.1414,244747  1% 0% 0% 100%
1,816PHP #3 7 min7 min14,5241193  0% 0% 0% 100%
1,992Dart 15.9715.9815,932457  0% 1% 1% 100%
2,031Erlang HiPE 114.62114.6616,248507  1% 0% 0% 100%
2,111Racket 31.5631.5816,884446  1% 1% 0% 100%
2,239Racket #2 28.2228.2317,912532  0% 0% 1% 100%
2,242Lisp SBCL #3 23.8623.8717,936883  1% 1% 0% 100%
2,373C# Mono #2 31.5431.5518,9841063  0% 0% 1% 100%
2,435C# Mono 29.4729.4819,476459  0% 1% 0% 100%
2,445Racket #3 23.0823.0919,560627  0% 0% 1% 100%
2,521Java  16.4616.4720,168514  0% 1% 1% 100%
2,526Lisp SBCL #2 15.8815.8920,208906  1% 0% 1% 100%
2,555Java  #2 16.3116.3120,440950  1% 1% 0% 100%
2,747F# Mono #2 31.3732.1621,972852  0% 1% 1% 98%
2,924Scala 16.0016.0123,388404  1% 0% 1% 100%
3,405Smalltalk VisualWorks #2 95.3495.4027,236438  0% 0% 0% 100%
3,469Ruby #3 11 min11 min27,752828  0% 1% 1% 100%
3,789Python 3 #5 17 min17 min30,308437  0% 1% 1% 100%
4,725Rust 16.1516.1637,800811  1% 0% 0% 100%
6,013Clojure #8 41.7841.7948,100918  1% 1% 0% 100%
6,114Clojure #6 42.0242.0448,912808  0% 1% 1% 100%
6,145Clojure #7 42.5642.5849,156762  0% 1% 1% 100%
78,161Ruby JRuby #2 5 min5 min625,284776  1% 1% 1% 100%
78,217Ruby JRuby 5 min5 min625,732292  0% 1% 1% 100%
80,547Ruby JRuby #4 273.47273.84644,376326  0% 1% 1% 100%
Perl #4 Failed551
Scala #2 Failed720
Scala #3 Failed982
Scala #4 Failed1006
"wrong" (different) algorithm / less comparable programs
81C++ g++ #2 16.3416.346441330
116C++ g++ #7 7.987.989241283
29,601C gcc #2 2.272.28236,808669
60,294Python 3 #2 12.1412.16482,352233
119,668Python 3 #3 101.22101.71957,344379

 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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