20210917, 19:44  #45 
"Curtis"
Feb 2005
Riverside, CA
13CF_{16} Posts 
I'm gonna handwave here, since only a few people have bothered taking data:
When a relation set is right at the cusp of building a matrix, a few more hours sieving will save more than a few hours to solve the matrix on that same machine (meaning CPU in both cases). At the relation counts most esmall and 15e jobs are processed at, 20 more corehours of sieving might save 5 or 10 corehours of matrix work (again, both measured on a CPU). I've done a few experiments at home, and I have yet to find a job where the sieving required to build a matrix at TD=120 saved more CPU time than it cost. I believe this could/would be the case on really big jobs, say with matrices at 50M+ in size. We have historically sieved more than needed because BOINC computation is cheap, while matrix solving time was in short supply. So, now that GPU matrix solving makes matrices not in short supply, we should sieve less. Something like 510% fewer relations, which means 510% more jobs done per calendar month. 
20210917, 19:47  #46 
Jul 2003
So Cal
3^{2}·13·19 Posts 

20210918, 03:58  #47 
Jul 2003
So Cal
2223_{10} Posts 
For 2,2174L, 1355M relations yielded 734M uniques. With nearly 50% duplicates, we have clearly reached the limit for 16e. Anyway, filtering yielded
Code:
matrix is 102063424 x 102063602 (51045.3 MB) with weight 14484270868 (141.91/col) Code:
linear algebra completed 2200905 of 102060161 dimensions (2.2%, ETA 129h 5m) 
20210918, 07:02  #48  
"Carlos Pinho"
Oct 2011
Milton Keynes, UK
3×1,663 Posts 
Quote:


20210918, 13:47  #49  
Aug 2002
2^{2}×2,089 Posts 
Quote:
Code:
sudo subscriptionmanager repos enable=rhel8forx86_64appstreamrpms sudo subscriptionmanager repos enable=rhel8forx86_64baseosrpms sudo subscriptionmanager repos enable=codereadybuilderforrhel8x86_64rpms sudo dnf configmanager addrepo=https://developer.download.nvidia.com/compute/cuda/repos/rhel8/x86_64/cudarhel8.repo sudo dnf module install nvidiadriver:latest sudo reboot sudo dnf install cuda114 echo 'export PATH=/usr/local/cuda11.4/bin:$PATH' >> ~/.bashrc echo 'export LD_LIBRARY_PATH=/usr/local/cuda11.4/lib64/:$LD_LIBRARY_PATH' >> ~/.bashrc source ~/.bashrc 

20210918, 14:37  #50 
Apr 2020
2×3×7×13 Posts 
Or is this just the limit for 16e with 33bit large primes? I know you've avoided going higher because of the difficulty of the LA and the msieve filtering bug, but now that the bug is fixed and GPUs make the LA much easier, might it be worth going up to 34bit?

20210918, 15:59  #51 
Jul 2003
So Cal
4257_{8} Posts 

20210919, 08:02  #53 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2×2,969 Posts 
I looked through the code a few years ago and found no issues. Lasieve4 is also fine although it is limited to 96 bit mfba/r.

20210923, 11:46  #54 
"Bo Chen"
Oct 2005
Wuhan,China
252_{8} Posts 
I give a try to receive NFS@Home WU and found lpbr and lpba 34 assignment of 2,2174M.
Here is the polynomial file S2M2174b.poly's contents. Code:
n: 470349924831928271476705309712184283829671891500377511256458133476241008159328553358384317181001385841345904968378352588310952651779460262173005355061503024245423661736289481941107679294474063050602745740433565487767078338816787736757703231764661986524341166060777900926495463269979500293362217153953866146837 skew: 1.22341 c6: 2 c5: 0 c4: 0 c3: 2 c2: 0 c1: 0 c0: 1 Y1: 1 Y0: 3064991081731777716716694054300618367237478244367204352 type: snfs rlim: 250000000 alim: 250000000 lpbr: 34 lpba: 34 mfbr: 99 mfba: 69 rlambda: 3.6 alambda: 2.6 Last fiddled with by wreck on 20210923 at 11:49 Reason: fix file name 
20210923, 12:46  #55 
Apr 2020
2·3·7·13 Posts 
@frmky, for future reference, when I tested this I found that rational side sieving with *algebraic* 3LP was fastest. This shouldn't be too much of a surprise: the rational norms are larger, but not so much larger that 6 large primes across the two sides should split 4/2 rather than 3/3 (don't forget the specialq is a "free" large prime).

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Resume linear algebra  Timic  Msieve  35  20201005 23:08 
use msieve linear algebra after CADONFS filtering  aein  Msieve  2  20171005 01:52 
Has anyone tried linear algebra on a Threadripper yet?  fivemack  Hardware  3  20171003 03:11 
Linear algebra at 600%  CRGreathouse  Msieve  8  20090805 07:25 
Linear algebra proof  Damian  Math  8  20070212 22:25 