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Subject: Re: Questions on dual machines

Author: Slater Wold

Date: 08:52:09 11/21/01

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On November 21, 2001 at 11:19:08, Robert Hyatt wrote:

>On November 21, 2001 at 11:05:00, Slater Wold wrote:
>
>>
>>As I have found positions where the NPS search is 2.5x faster, but it solves the
>>solution in 4x faster than a single cpu.
>>
>>Dann and I had this "super" linear discussion before.
>>
>>Seems like it would even out, eventually.  But like I said, I believe you.  And
>>I'll do it to solution now.  (But of course, I'll still look at the NPS!)  :)
>>
>
>
>First, two cpus is going to have a _hard_ time searching 2.5x the raw
>nodes per second.  I have no idea how that might happen, unless there is a
>bug in the node-counting that sometimes counts nodes twice.

Sorry.  I've seen positions where it will search 1.8x the NPS and solve it 4x
faster.

I was just reversing your comment.

>Second, "super-linear" can happen on occasional positions.  But as you said,
>it will average out over multiple positions so that the speedup simply can not
>be >2.0 for two processors on average.  I was in the middle of the super-linear
>speedup discussion.  I hope it stays "at rest" now. :)

I've seen it happen a time or two.  I've found a solution one go, and can never
get it again.  (Happened more than once with DJ7.)

>I have seen several cases of spectacular speedups, but then I have also seen
>an equal number of horrible speedups.  Bruce once sent me one that produced
>a particularly ugly result on Crafty, But I can't seem to locate the thing
>at present...

I think I've only seen 1 or 2.  But I have seen a LOT that are greater than the
speedup of the NPS speedup.  In other words, it takes the SMP less nodes to find
the solutions, that the 1 CPU.

>In any case, NPS is kind of like engine RPM.  It should increase linearly with
>the number of processors, assuming the parallel algorithm is good at keeping
>both cpus busy all the time and doesn't have one (or more) sitting around
>waiting excessively.  But RPM has nothing to do with vehicle speed, because
>of losses along the drive train.  The MPH value (time to solution) is the thing
>that wins races (or games).

HUM.  Now you're picking a subject I am _very_ familiar with.  RPM's and and MPH
aren't _DIRECTLY_ related.

IE:

If you have a car that has a 4.11 gear ratio with 351c.i. motor, that is getting
400 HP at 5750RPM, it SHOULD go 12's in the 1/4 mile.  (Depending on weight.)
Let's just say, it goes 12.5 @ 119MPH.

Now, let's say you install an aluminum driveshaft.  Your RPM's are going to
increase.  Same setup, same everything, it will probably get 400HP at 5900 RPM.
And if you run the 1/4 mile again, I would guarantee 12.3's at the SAME MPH.
Maybe, you'll get 1 or 2 more MPH.  You're going .2 seconds faster, but the MPH
isn't changing.  RPM doesn't = MPH, but the faster you can rev, the faster you
can get to that top MPH.  Unless your gears are wacky.



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