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[cado-nfs] Higher ropteffort can produce worse polynomial


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  • From: Robert Balfour <rhb11931@gmail.com>
  • To: cado-nfs@inria.fr
  • Subject: [cado-nfs] Higher ropteffort can produce worse polynomial
  • Date: Mon, 13 Dec 2021 20:47:45 +0000
  • Authentication-results: mail3-smtp-sop.national.inria.fr; spf=None smtp.pra=rhb11931@gmail.com; spf=Pass smtp.mailfrom=rhb11931@gmail.com; spf=None smtp.helo=postmaster@mail-yb1-f174.google.com
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Dear all,

Mersenneforum user Gimarel has reported that using a higher ropteffort value can sometimes produce a lower scoring polynomial. 

For example, if polyselect_ropt is run on the attached polynomial, with -area 429496729600000000 -Bf 34359738368 -Bg 17179869184, the Murphy-E score of the resulting polynomial is as follows:

-ropteffort 1: 2.026e-09
-ropteffort 10: 1.972e-09
-ropteffort 100: 1.965e-09

Maybe this is just an unlucky consequence of the way the priority queues are managed, but I'm concerned that perhaps at some stage a queue is either being cut too short or not being sorted properly. 

I note that when polyselect_ropt is run with -v, the following is printed:

# Info: s1param->nbest_sl: 368 (= size_total_sublattices*ropteffort)

...and despite what this would suggest, the value 368 does not change when ropteffort is increased!

Best regards,
Robert

Attachment: 2_2246M_gimarel.poly
Description: Binary data




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