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Amdahl’s Law Example #2(Amdahl法则2的例子)
Amdahl’s Law Example #2
• Protein String Matching Code
–4 days execution time on current machine
• 20% of time doing integer instructions
• 35% percent of time doing I/O
–Which is the better tradeoff?
• Compiler optimization that reduces number of
integer instructions by 25% (assume each integer
inst takes the same amount of time)
• Hardware optimization that reduces the latency of
each IO operations from 6us to 5us.
Amdahl’s Corollary #2
• Make the common case fast (i.e., x should be
large)!
– Common == “most time consuming” not necessarily
“most frequent”
– The uncommon case doesn’t make much difference
– Be sure of what the common case is
– The common case changes.
• Repeat…
– With optimization, the common becomes uncommon
and vice versa.
Amdahl’s Corollary #2: Example
Common case
7x = 1.4x
4x = 1.3x
1.3x = 1.1x
Total = 20/10 = 2x
• In the end, there is no common case!
• Options:
– Global optimizations (faster clock, better compiler)
– Find something common to work on (i.e. memory latency)
– War of attrition
– Total redesign (You are probably well-prepared for this)
Amdahl’s Corollary #3
• Benefits of parallel processing
• p processors
• x% is p-way parallizable
• maximum speedup, Spar
S = 1 .
par
(x/p + (1-x))
x is pretty small for desktop applications, even for p = 2
Example #3
• Recent advances in process technology have
quadruple the number transistors you can fit
on
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