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 #4 10.6210.636441139  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 #5 7.857.85644569  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 20.8120.821,032411  1% 1% 0% 100%
130Go #2 15.7015.711,036668  1% 1% 0% 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%
163Fortran Intel 7.867.871,300568  0% 1% 0% 100%
195Go #3 15.7015.711,560536  1% 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%
585Rust #2 32.8932.904,676525  0% 1% 1% 100%
601Rust 32.8932.904,808492  0% 1% 1% 100%
606PHP #2 7 min7 min4,848397  0% 0% 0% 100%
626Python 3 #6 15 min15 min5,004328  0% 1% 0% 100%
773C CINT 23 min23 min6,180394  0% 0% 0% 100%
828Ruby #4 9 min9 min6,624326  1% 1% 1% 100%
915Perl #3 16 min16 min7,320846  0% 0% 0% 100%
991Ruby 10 min10 min7,928292  0% 1% 1% 100%
1,100JavaScript V8 #3 15.7115.718,796373  0% 1% 1% 100%
1,102JavaScript V8 #2 15.7015.718,812328  0% 1% 1% 100%
1,104Lisp SBCL 23.7823.798,828625  1% 1% 0% 100%
1,271Erlang HiPE #2 45.1245.1310,164747  0% 0% 0% 100%
1,361JavaScript V8 15.7115.7210,884311  0% 1% 1% 100%
1,707Erlang HiPE 59.1459.1613,652507  0% 0% 0% 100%
1,816PHP #3 7 min7 min14,5241193  0% 0% 0% 100%
1,900Dart 22.0522.0615,200457  1% 0% 0% 100%
2,052Java  #2 16.2616.2716,416950  1% 1% 0% 100%
2,111Racket 31.5631.5816,884446  1% 1% 0% 100%
2,148Java  16.5216.5317,180514  0% 0% 1% 100%
2,239Racket #2 28.2228.2317,912532  0% 0% 1% 100%
2,323Scala 16.0016.0118,580404  1% 0% 0% 100%
2,373C# Mono #2 31.5431.5518,9841063  0% 0% 1% 100%
2,401Lisp SBCL #2 15.9215.9319,208906  1% 1% 0% 100%
2,404Lisp SBCL #3 23.3923.4119,232883  1% 0% 0% 100%
2,435C# Mono 29.4729.4819,476459  0% 1% 0% 100%
2,445Racket #3 23.0823.0919,560627  0% 0% 1% 100%
2,461Scala #2 16.2616.2719,688720  0% 1% 1% 100%
2,747F# Mono #2 31.3732.1621,972852  0% 1% 1% 98%
3,357Ruby #3 11 min11 min26,856828  0% 1% 1% 100%
3,405Smalltalk VisualWorks #2 95.3495.4027,236438  0% 0% 0% 100%
3,789Python 3 #5 17 min17 min30,308437  0% 1% 1% 100%
5,641Clojure #6 42.1842.1945,128808  0% 1% 1% 100%
5,729Clojure #7 42.7442.7645,828762  0% 1% 1% 100%
6,002Clojure #8 41.7341.7448,012918  1% 1% 0% 100%
75,665Ruby JRuby #4 294.82295.25605,320326  0% 1% 1% 100%
78,323Ruby JRuby 6 min6 min626,584292  0% 1% 1% 100%
78,404Ruby JRuby #2 5 min5 min627,232776  0% 1% 1% 100%
Perl #4 Failed551
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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