----- Original Message -----
From: "Nick Glover" <[EMAIL PROTECTED]>
To: <[EMAIL PROTECTED]>
Sent: Tuesday, August 27, 2002 5:14 AM
Subject: Re: Mersenne: GIMPS error rates

> Some interesting stats regarding reported errors ( the last 4 digits of
> the error field ):
>
> Error field = 0000: 2.02% error rate out of 213369 results
> Error field > 0000: 22.24% error rate out of 5765 results

This suggests to me that the behaviour of the program should be changed upon
detection of an error.

<22% complete - abandon run
>22% complete - restart from last saved file

(Or 25% given the statistic quoted below.)

Perhaps also the program should immediately revert to trial factorisation,
until the operator resets it (presumably after fixing the problem).  If it
has no TF assignments it could overfactor the LL assignments it already has
while until it gets one.

[...]

> The above stats apply to all exponents, but below are some stats that
> apply to only exponents from 1,345,000 to 5,255,000.  This leaves some
> of the lower exponents out which weren't necessarily using George's
> program and also are so small that errors are extremely unlikely.  It also
> leaves out exponents above the current limit of what has been fully
> verified since a disproportionate amount of these exponents will be good
> results.  This is because it requires only 2 LL tests to produce two good
> results, while it takes 3 or more on the same number to produce bad
> results ( basically, a disproportionate amount of the bad results have not
> been uncovered yet ).

You could scavenge hrf3.txt for non-matching duplicate entries, which would
indicate that one of the results is bad, even though you don't know which
one.

[...]

> Error field = 0000: 2.19% out of 99045 results
> Error field > 0000: 25.52% out of 1834 results
>
> Does anyone want anything else out of this data?  I've gotten to the point
> where I can get most calculations out of it fairly quickly.

Can you do a moving average of the error rates within the 1,345,000 to
5,255,000 range to see if they increase with the exponent size?

> Nick Glover
> [EMAIL PROTECTED]

Daran G.


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