Update the benchmarks on the sagemath website?

[SL]

Hello,

The page at http://sagemath.org/tour-benchmarks.html is a bit outdated (and it also

has some typos).  Maybe it's time to update the website with a more recent

version...

I did some benchmarks of my own.  Here's the system information

:~ > lscpu

Architecture:          x86_64

CPU op-mode(s):        32-bit, 64-bit

Byte Order:            Little Endian

CPU(s):                8

On-line CPU(s) list:   0-7

Thread(s) per core:    2

Core(s) per socket:    4

Socket(s):             1

NUMA node(s):          1

Vendor ID:             GenuineIntel

CPU family:            6

Model:                 42

Stepping:              7

CPU MHz:               1600.000

BogoMIPS:              6784.31

Virtualization:        VT-x

L1d cache:             32K

L1i cache:             32K

L2 cache:              256K

L3 cache:              8192K

NUMA node0 CPU(s):     0-7

######################################################################

sage: version()

'Sage Version 6.5.rc3, Release Date: 2015-02-13'

sage: a1 = 12345^678900 - 1

sage: a2 = 67890^123456 - 1

sage: len(str(a1))

2777714

sage: len(str(a2))

596516

sage: %timeit a1*a2

10 loops, best of 3: 27.9 ms per loop

sage: time a = factorial(10000000)

CPU times: user 2.7 s, sys: 76 ms, total: 2.78 s

Wall time: 2.79 s

sage: time a = factor(2^512 - 1)

CPU times: user 15.8 s, sys: 0 ns, total: 15.8 s

Wall time: 15.9 s

sage: %time _ = bernoulli(3*10^5)

CPU times: user 22.4 s, sys: 8 ms, total: 22.4 s

Wall time: 22.5 s

BernoulliB[3*10^5]

sage: time a = N(pi, digits=5000000)

CPU times: user 10.4 s, sys: 4 ms, total: 10.4 s

Wall time: 10.4 s

#Using mpmath

sage: from sage.libs.mpmath.all import pi as p

sage: time a = p(dps=5000000)

CPU times: user 5.02 s, sys: 12 ms, total: 5.03 s

Wall time: 5.02 s

sage: time a = is_pseudoprime(2^19937 - 1)

CPU times: user 1.87 s, sys: 0 ns, total: 1.87 s

Wall time: 1.87 s

sage: R.<a1,a2,a3,a4,a5,a6,a7> = QQ[]

sage: time f = (a1+a2+a3+a4+a5+a6+a7)^25

CPU times: user 472 ms, sys: 24 ms, total: 496 ms

Wall time: 498 ms

#In the symbolic ring

sage: (a1, a2, a3, a4, a5, a6, a7)

(a1, a2, a3, a4, a5, a6, a7)

sage: time f = expand((a1+a2+a3+a4+a5+a6+a7)^25)

CPU times: user 4.29 s, sys: 120 ms, total: 4.41 s

Wall time: 4.43 s

sage: R.<x,y,z> = PolynomialRing(GF(13))

sage: time _ = expand((x+y+z+1)**100)

CPU times: user 28 ms, sys: 0 ns, total: 28 ms

Wall time: 28.3 ms

sage: m1 = random_matrix(GF(2), 1000, 1000)

sage: m2 = random_matrix(GF(2), 1000, 1000)

sage: %timeit m1*m2

1000 loops, best of 3: 1.03 ms per loop

sage: %timeit m1+m2

10000 loops, best of 3: 23 µs per loop

sage: a = random_matrix(RDF,2000)

sage: timeit('a*a')

5 loops, best of 3: 404 ms per loop

sage: m = random_matrix(RDF, 1000)

sage: %time U,s,Vh = m.SVD()

CPU times: user 3.32 s, sys: 760 ms, total: 4.08 s

Wall time: 1.13 s

######################################################################

In[1]:= $Version

Out[1]= 10.0 for Linux x86 (64-bit) (December 4, 2014)

In[2]:= a1 = 12345^678900 - 1;

In[3]:= a2 = 67890^123456 - 1;

In[4]:= Timing[a1*a2][[1]]

Out[4]= 0.032002

In[5]:= Timing[10000000!][[1]]

Out[5]= 3.280205

In[6]:= Timing[FactorInteger[2^512 - 1]][[1]]

Out[6]= 70.412401

In[7]:= Timing[BernoulliB[3*10^5]][[1]]

Out[7]= 20.213263

In[8]:= Timing[N[Pi, 5000000]][[1]]

Out[8]= 2.256141

In[9]:= Timing[PrimeQ[2^19937 - 1]][[1]]

Out[9]= 4.904307

In[10]:= Timing[Expand[(a1+a2+a3+a4+a5+a6+a7)^25]][[1]]

Out[10]= 2.104131

In[11]:= Timing[Expand[(x+y+z+1)^100, Modulus -> 13]][[1]]

Out[11]= 0.112007

In[12]:= m1 := RandomInteger[{0,1},{1000, 1000}]

In[13]:= m2 := RandomInteger[{0,1},{1000, 1000}]

In[14]:= Timing[Mod[m1.m2, 2]][[1]]

Out[14]= 0.184012

In[15]:= Timing[Mod[m1+m2, 2]][[1]]

Out[15]= 0.036002

In[16]:= b = Table[

          RandomReal[

           UniformDistribution[{0, 1}]],

             {2000}, {2000}];

In[17]:= Timing[b . b][[1]]

Out[17]= 1.500094

[Harald Schilly]

On Saturday, February 14, 2015 at 1:04:27 PM UTC+1, SL wrote:

Hello,

The page at http://sagemath.org/tour-benchmarks.html is a bit outdated 

Sure, years ago I thought it is neat to have a small page with some benchmarks ;-)

The sources are here:

https://github.com/sagemath/website/blob/master/src/tour-benchmarks.html

I'm not sure if I have time to work on this soon, contributions are welcome!

-- harald

[SL]

Maybe it would be good to use some tool like

https://github.com/tobami/codespeed/

to automatically track the timings.