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-   -   Linear algebra reservations, progress and results (https://www.mersenneforum.org/showthread.php?t=20023)

YuL 2017-01-20 20:28

145^72+72^145 cofactor (15e)
 
1 Attachment(s)
[URL="http://www.factordb.com/index.php?id=1000000000044691169"]145^72+72^145[/URL] is factored
[CODE]Fri Jan 20 14:55:09 2017 p86 factor: 87703786972364019431608195397058749092287547928991667456672843153075868703107613442793
Fri Jan 20 14:55:09 2017 p100 factor: 2210021286715014614290405621775603377151959634601407815051621353068190619444766329420677291802010633
[/CODE]

LA on a 18.9e6 matrix took ~9.2 days using 2x 6 threads on dual Xeon E5-2620 @2.0GHz (target_density=132).
Log attached and at [URL]http://pastebin.com/km9t4KkG[/URL]

VBCurtis 2017-01-20 21:33

[QUOTE=YuL;451289]
LA on a 18.9e6 matrix took ~9.2 days using 2x 6 threads on dual Xeon E5-2620 @2.0GHz (target_density=132).[/QUOTE]

YuL-
When you say "2x6 threads", do you mean you used MPI to keep one set of 6 processes distinct from the other set, to keep the data local to each CPU? I ask because I have a dual-Xeon 5650 (6 cores each, 12 total) on the way, and plan on tackling some big matrices with it. Can I just invoke msieve -t 12 {etc}, or should I be mucking about with MPI and/or taskset to split the job?
I suppose "can" isn't quite what I mean; can someone quantify the speedup from a more advanced use than "msieve -t 12 {etc}"?

YuL 2017-01-21 07:58

[QUOTE=VBCurtis;451292]YuL-
When you say "2x6 threads", do you mean you used MPI to keep one set of 6 processes distinct from the other set, to keep the data local to each CPU? I ask because I have a dual-Xeon 5650 (6 cores each, 12 total) on the way, and plan on tackling some big matrices with it. Can I just invoke msieve -t 12 {etc}, or should I be mucking about with MPI and/or taskset to split the job?
I suppose "can" isn't quite what I mean; can someone quantify the speedup from a more advanced use than "msieve -t 12 {etc}"?[/QUOTE]

Here is what I do: I run two processes in a 2x1 MPI grid by running
[CODE]mpiexec -np 2 --map-by socket --bind-to socket %mpi_msieve% -v -t 6 ...
[/CODE]
one process runs on CPU1 the other runs on CPU2, it is faster than running
just one msieve -t 6 or msieve -t 12 but unfortunately I can't give you the
numbers right now.

VBCurtis 2017-01-21 17:39

That's exactly what I was looking for, thank you!

YuL 2017-01-21 20:08

[QUOTE=VBCurtis;451331]That's exactly what I was looking for, thank you![/QUOTE]

You're welcome, here are some numbers:

- Using 2x 6 threads (with MPI as explained in previous post):

[CODE]Wed Jan 11 09:14:20 2017 linear algebra at 0.0%, ETA 234h15m
Wed Jan 11 09:14:43 2017 checkpointing every 90000 dimensions
Fri Jan 20 13:12:01 2017 lanczos halted after 298905 iterations (dim = 18901676)
Fri Jan 20 13:12:27 2017 recovered 35 nontrivial dependencies
Fri Jan 20 13:12:29 2017 BLanczosTime: 795869
Fri Jan 20 13:12:29 2017 elapsed time 221:04:31
[/CODE]

- Using only one process with -t 6:
[CODE]Sat Jan 21 17:58:15 2017 commencing Lanczos iteration (6 threads)
Sat Jan 21 17:58:15 2017 memory use: 8046.8 MB
Sat Jan 21 18:00:09 2017 linear algebra at 0.0%, ETA 376h14m
[/CODE]

- Using only one process with -t 12:
[CODE]Sat Jan 21 18:06:00 2017 commencing Lanczos iteration (12 threads)
Sat Jan 21 18:06:00 2017 memory use: 8047.0 MB
Sat Jan 21 18:07:29 2017 linear algebra at 0.0%, ETA 293h23m
[/CODE]

RichD 2017-01-24 01:47

I'll take P55 (19269...)^5-1 next.

YuL 2017-01-24 07:42

P55_20156_5_m1
 
1 Attachment(s)
[URL="http://www.factordb.com/index.php?id=1100000000685458984"]P55(20156...)^5-1[/URL] is factored.
[CODE]Tue Jan 24 05:58:26 2017 p84 factor: 940322013842066118893478552199628075999679084425590323928948290553565322827151582101
Tue Jan 24 05:58:26 2017 p121 factor: 1537670403026780958260264404077531779849152647548875287040060122513827450125721017592918041375946498047702440132660850381
[/CODE]

LA on a 6.23e6 matrix took ~27.7 hours using 6 threads on Core i7-5820K (target_density=136).
Log attached and at [URL]http://pastebin.com/3YLXMB1X[/URL].

unconnected 2017-01-24 07:59

10^249+45*10^124-1 completed - 102 hours for 10.5M matrix (TD=130)

[CODE]prp97 factor: 1058314134576003349770157576757398261341275637591655186457355903095338293154242250572586542471071
prp149 factor: 47570811597419943430756398431048875252430079438673794780755089544997090197565725745187114326495767160629829316527724400223086541540148348903597430663
[/CODE]

[url]http://pastebin.com/3quHtP2E[/url]

YuL 2017-01-24 13:33

C196_145_47 (14e)
 
Taking C196_145_47 next.

swellman 2017-01-24 16:29

19218301^31 - 1
 
Reserving 19218301^31 - 1 if it is available.

RichD 2017-01-25 14:21

P55 (19269...)^5-1 factored
 
1 Attachment(s)
Guessing about 24 hours to solve a 6.1M matrix, -t 4, TD=130. (TD-136 failed)
The machine wasn't idle at the beginning of LA.
[CODE]p94 factor: 3925488933189879342183094944089294977855388227825677716724995836344555324592472843330479439711
p116 factor: 27965361357645581827621384004007663549053808145883995338373731940837851218015431830810603685286723811342793252094611[/CODE]


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