Symbol I^*
is the quantity selected or evaluated by the optimization written on the right.
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Why this formula appears here
with the peak arithmetic rate, I the arithmetic intensity in operations per byte, and B the achievable bandwidth at the level that dominates. The two terms cross at a ridge point = /B . Below it a kernel is memory-bound and its runtime is set by traffic; above it the kernel is compute-bound and traffic is hidden.
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Published contexts (1)
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Equation 6 · AI Hardware & Semiconductors
Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
with the peak arithmetic rate, I the arithmetic intensity in operations per byte, and B the achievable bandwidth at the level that dominates. The two terms cross at a ridge point = /B . Below it a kernel is memory-bound and its runtime is set by traffic; above it the kernel is compute-bound and traffic is hidden.