From: "William Stein" <[EMAIL PROTECTED]>

> Thanks.  I've fixed this for sage >= 2.7.3 in the attached patch.

Just upgraded SAGE to 2.7.3 and number_of_partitions works twice as fast as 
in 2.7.2 with algorithm='bober' for 10^9 - it took 112 sec in 2.7.2 and only 
56 sec in 2.7.3. This is in Ubuntu 7.04 on Dual Core 64-bit 2.6GHz Athlon 
with 2 GB RAM. By the way, to compare with other systems, SAGE 2.7.2 
installation took about 53 minutes.

I noticed the following interesting thing with time measuring: assigning 
number_of_partitions to a variable (that shouldn't take time at all), took 
about 10% or more of total time. For example,

sage: time number_of_partitions(10^7)

took about 0.8 sec while

sage: time a=number_of_partitions(10^7)

took slightly more than 1 sec. For 10^8 the corresponding times were 5 sec 
and 5.45 sec.

That seems odd, isn't it?

Alec



 


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