One more data point (2.6GHz opteron):

sage: time x = bernoulli(60000)
Wall time: 3.79

sage: time x = bernoulli(120000)
Wall time: 16.97

sage: time x = bernoulli(240000)
Wall time: 118.24

sage: time x = bernoulli(480000)
Wall time: 540.25

sage: time x = bernoulli(960000)
Wall time: 2436.06

The ratios between successive times are:

4.47757255936675
6.96758986446671
4.56909675236806
4.50913465987969

If we guess that it's "really" 4.5, then the complexity is N^(log 
(4.5) / log(2)) = N^2.17. This is puzzling; I thought the algorithm  
was supposed to be better than quadratic. Does anyone know what the  
theoretical complexity is supposed to be?

Anyway, extrapolating gives about 4.5 days, pretty much the same as  
what Tom estimates. I'm going to start it running now.

david


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