Timing Analysis for Scientific Codes Run Under Washcloth Simulator

Cover Timing Analysis for Scientific Codes Run Under Washcloth Simulator
Timing Analysis for Scientific Codes Run Under Washcloth Simulator
David G Korn
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This happens when the number of loop iterations is not a multiple of the number of processing elements. This waiting time varies irregularly with the number of processing elements and is hard to analyze. Fortunately, for our experiments (using the methodology of [5]) this term has become comparatively small for large problems .
If we denote by TA the number of instructions executed by all processors and denote by TD the number that can be divided among the processors, then the average number of
... instructions per processing element for a problem of size N, is given by, T(N, #PE) = TA(N) + TD(N)///PE + TW(N, //PE). Where the waiting time function TW has the components described - 9 - TIMING PROJECTIONS Page 4-4 above .
If the waiting time remains small relative to TA, the number of processor elements that can be assigned to the efficient solution of a given problem is proportional to TD/TA.
The form of the functions TA(N) and TD(N) can often be deduced from the algorithm used. The growth of TW as a function of processing elements can also be estimated analytically.


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