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#606 |
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Sep 2009
977 Posts |
Just to clear a possible misunderstanding (not necessarily for you): note that I suggested (or at least meant to suggest) adding you to the list of people with access to NFS@Home's work feeding infrastructure. I didn't mean "boo hoo, I'm going away if I don't have my way, and leave you to pick the pieces" - which would be very childish a behaviour from me (and besides, it would be incoherent with the beginning of the paragraph)
![]() I hear your concern, and I hope you've heard my arguments. What do others think about changing the amount of sieving (or not doing so) ? In fact, it probably boils down to "do we want to sieve more numbers, or make post-processers happier" ? Last fiddled with by debrouxl on 2013-05-13 at 20:11 |
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#607 |
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(loop (#_fork))
Feb 2006
Cambridge, England
23×11×73 Posts |
Code:
Tue May 7 06:56:15 2013 RelProcTime: 19243 Tue May 7 06:56:22 2013 initialized process (0,0) of 3 x 8 grid Tue May 7 08:07:04 2013 matrix is 15046947 x 15047129 (4521.9 MB) with weight 1325298044 (88.08/col) Tue May 7 08:21:37 2013 commencing Lanczos iteration Sun May 12 08:56:47 2013 lanczos halted after 237860 iterations (dim = 15041465) Mon May 13 20:18:47 2013 sqrtTime: 8668 Mon May 13 20:18:47 2013 prp111 factor: 241215750038856263159716121686098664477752682525771365953523520412080494368158775294634138935517800635218113117 Mon May 13 20:18:47 2013 prp115 factor: 1148844274603906293890529267369286595873870345990523419368092555061370174996362324477929708660691592098869471164329 |
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#608 | |
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Nov 2003
11101001001002 Posts |
Quote:
that the work was advancing mathematical knowledge. |
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#609 | |
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Nov 2003
746010 Posts |
Quote:
" advancing mathematical knowledge". If you believe otherwise, then please show us the advances in mathematics that have been made. |
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#610 |
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(loop (#_fork))
Feb 2006
Cambridge, England
11001000110002 Posts |
Yes, in some sense the OP was wrong. We know this. Repeatedly pointing it out doesn't help.
We're not doing cutting-edge mathematical research here, and we know it; this particular problem is much closer to operations research, how best to parcel out cheap and expensive resources to get as many cubic fathoms of ore as possible out of the mine. It's not very interesting ore, it won't make Math: Comp: let alone a heavier-duty journal. We know that, too. But it's still a worthwhile problem for us to attack, even if the answer is that it depends entirely on hard-to-measure parameters of how much work is perceived to cost. |
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#611 |
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Jul 2003
So Cal
22·32·59 Posts |
The 14e and 15e sieves are simply hobbies at this point. The larger 16e work I feel remains quite useful. It has directly led to the development and extensive testing of better parallel LA tools using MPI, and we are starting to explore using modern GPUs for LA. I agree none of this is a fundamental theoretical breakthrough, but I believe it is an important advance.
Back to Carlos' original question, his data actually tell me that the 15e numbers may be too oversieved. As long a LA resources are plentiful, adding 50% more time to a single run isn't significant. That time could be spent sieving additional numbers. |
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#612 | |
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"William"
May 2003
New Haven
2×7×132 Posts |
Quote:
Perhaps more interesting, what is you position on the question? You've done some interesting work about optimal resource allocation in the simpler environment of homogenous rosources and only ECM - do you have thoughts about how to frame this question in this environment - perhaps even thoughts about how to quantify an objective function? In the statement you objected to, debrouxl was arguing that the objective function should be maximizing the factoring rate. pinhodecarlos is arguing the objective function should be minimizing post processing time because that serves as a proxy for an objective function of maximizing happiness of all participants. what say you? |
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#613 |
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(loop (#_fork))
Feb 2006
Cambridge, England
23·11·73 Posts |
May I take L1809?
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#614 |
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Jul 2003
So Cal
22·32·59 Posts |
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#615 | |
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"Carlos Pinho"
Oct 2011
Milton Keynes, UK
3×17×97 Posts |
Quote:
Code:
L1201 218-digit input - lasievee SNFS 251.0 setting target matrix density to 110.0 found 74947407 hash collisions in 314763320 relations found 80865618 duplicates and 235116244 unique relations matrix is 10065336 x 10065561 (4163.7 MB) with weight 1053317911 (104.65/col) sparse part has weight 990830628 (98.44/col) linear algebra at 0.0%, ETA 161h38m L1803 216-digit input - lasievee SNFS 251.2 setting target matrix density to 110.0 found 74270715 hash collisions in 329955633 relations found 76882467 duplicates and 253885458 unique relations matrix is 10657840 x 10658088 (2884.9 MB) with weight 695106766 (65.22/col) sparse part has weight 649681132 (60.96/col) linear algebra at 0.0%, ETA 128h26m 11_10_233m 183-digit input - lasieved SNFS 244 setting target matrix density to 110.0 found 39972611 hash collisions in 217657588 relations found 39223437 duplicates and 179652801 unique relations matrix is 11770611 x 11770836 (4927.7 MB) with weight 1263586357 (107.35/col) sparse part has weight 1174068997 (99.74/col) linear algebra at 0.0%, ETA 229h50m Post-processing jobs of 14e and 15e sieves are one man job while 16e sieves are cluster jobs so I think we need to reach a optimal agreement on how much more or less sieve is needed. Sieving more don't hurt the sievers due to the fact that they don't care about wasting more energy on this task, they just care about the points. If they don't care about it I do care about minimizing the post-processing time, therefore wasting less energy. Do you guys see the sievers on NFS@Home forum complaining that a task is oversieved? They don't understand the math behind NFS@Home....duh! Let's use the sieve power available to make more tests on how much sieve is needed for a certain type of integer and SNFS/GNFS difficulty or lets push the 16e siever. Ok, probably 15e sieves are a little oversieved but I enjoy doing two post-processing jobs in less than a week on my laptop. Carlos |
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#616 |
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"Carlos Pinho"
Oct 2011
Milton Keynes, UK
115238 Posts |
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