On May 15, 9:03 pm, William Stein <wst...@gmail.com> wrote:

> 1. On what hardware?

This was on 64 bit GNU/Linux (Fedora release 12) running on a dual
processor machine with two Intel Core 2 CPUs (each 2.4GHz, 4Gb
cache).  I have included the contents of /proc/cpuinfo at the bottom
of this reply.

> 2. Can you post something so that somebody else (e.g., me) could
> replicate this benchmark?
> I want to make sure that, e.g., your Sage wasn't built incorrectly.

I am comparing Sage 4.3.5 (which I am pretty sure was built from
source) with MAGMA V2.16-7.  The Sage script I ran was:

---start of Sage code---
R.<x,y,z> = PolynomialRing(ZZ,3)
f = x*y^3*z^2 + x^2*y^2*z + x*y^3*z + x*y^2*z^2 + y^3*z^2 + y^3*z +
2*y^2*z^2 + 2*x*y*z + y^2*z + y*z^2 + y^2 + 2*y*z + z
curr = 1
t=cputime()
for i in range(1,101):
    curr = curr * f
    print i, cputime(t)
print get_memory_usage()
---end of Sage code---

The Magma script I ran was:

---start of Magma code---
R<x,y,z> := PolynomialRing(Integers(),3);
f := x*y^3*z^2 + x^2*y^2*z + x*y^3*z + x*y^2*z^2 + y^3*z^2 + y^3*z +
2*y^2*z^2 + 2*x*y*z + y^2*z + y*z^2 + y^2 + 2*y*z + z;
curr := 1;
t:=Cputime();
for i in [1..100] do
    curr := curr * f;
    print i, Cputime(t);
end for;
---end of Magma code---

Please let me know if you need more information, or if I am doing
anything that is obviously stupid.
The results of running 'cat /proc/cpuinfo' follow.

Best,

Tom



[t...@ma613-11 ~]$ cat /proc/cpuinfo
processor       : 0
vendor_id       : GenuineIntel
cpu family      : 6
model           : 15
model name      : Intel(R) Core(TM)2 CPU          6600  @ 2.40GHz
stepping        : 6
cpu MHz         : 1596.000
cache size      : 4096 KB
physical id     : 0
siblings        : 2
core id         : 0
cpu cores       : 2
apicid          : 0
initial apicid  : 0
fpu             : yes
fpu_exception   : yes
cpuid level     : 10
wp              : yes
flags           : fpu vme de pse tsc msr pae mce cx8 apic mtrr pge mca cmov pat
pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx lm
constant_tsc arch_perfmon pebs bts rep_good aperfmperf pni dtes64
monitor ds_cpl vmx est tm2 ssse3 cx16 xtpr pdcm lahf_lm tpr_shadow
bogomips        : 4800.54
clflush size    : 64
cache_alignment : 64
address sizes   : 36 bits physical, 48 bits virtual
power management:

processor       : 1
vendor_id       : GenuineIntel
cpu family      : 6
model           : 15
model name      : Intel(R) Core(TM)2 CPU          6600  @ 2.40GHz
stepping        : 6
cpu MHz         : 1596.000
cache size      : 4096 KB
physical id     : 0
siblings        : 2
core id         : 1
cpu cores       : 2
apicid          : 1
initial apicid  : 1
fpu             : yes
fpu_exception   : yes
cpuid level     : 10
wp              : yes
flags           : fpu vme de pse tsc msr pae mce cx8 apic mtrr pge mca cmov pat
pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx lm
constant_tsc arch_perfmon pebs bts rep_good aperfmperf pni dtes64
monitor ds_cpl vmx est tm2 ssse3 cx16 xtpr pdcm lahf_lm tpr_shadow
bogomips        : 4800.14
clflush size    : 64
cache_alignment : 64
address sizes   : 36 bits physical, 48 bits virtual
power management:

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