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Subject: Re: Questions on dual machines

Author: Slater Wold

Date: 11:04:57 11/21/01

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On November 21, 2001 at 13:33:14, Robert Hyatt wrote:

>On November 21, 2001 at 11:52:09, Slater Wold wrote:
>
>>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.
>
>That is not uncommon at all...
>
>
>
>>
>>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.
>>
>
>That is the classic super-linear speedup situation.  bad move ordering
>corrected by the parallel search taking 'em two at a time.
>
>
>
>>>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.
>
>You do better than I do there.  I've never seen an alum drive shaft increase
>RPM.  I have seen it decrease the time to reach a particular RPM, but I don't
>see why it would increase the actual RPM since it doesn't take much energy to
>keep a driveshaft rotating, it just takes energy to accelerate it down the
>track, and energy to accelerate the RPM level of the shaft itself.

On a fox body Mustang, an aluminum driveshaft over the stock driveshaft will
improve the cars 1/4 mile times by around .2 seconds.  I've seen it done more
than a dozen times.  I never meant to imply that the RPM's would go higher, but
that the time to get to X RPM would get shorter.  And I know a lighter
driveshaft will put the powerband of the car slightly higher.  I also know it
will not help your cars top speed.  Only off the line accleration.

>Your above example can't work however, as you didn't change the rear end ratio,
>and if you reach a higher rpm you will _definitely_ reach a higher top speed as
>well.  RPM and MPH are exactly proportional if everything else (tire diameter
>and final drive ratio) remains constant.

You're correct.  If you're in 4th gear at 3k RPM, you will always be going X
MPH.  It's only if you change gears that will change.  However, the off the line
accleration is what's going to get you those better times.  You're getting to X
RPM faster, and therefore X MPH faster, which means you're going to gain SOME
ground.



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