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Add option to exclude low flop mms from every-other-mm sac policy #1372
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Is there a strong reason we use "always recompute" instead of "always save" for these small matmuls?
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Hmm, I'm guessing because matmul FLOPs required grows cubically / O(n^3), but the output activation grows only quadratically / O(n^2), so when
n
is small the FLOPS required to recompute are relatively small compared to the size of the output activation. In contrast, whenn
is larger, the FLOPs to recompute has grown cubically but memory saved has only grown quadratically, so the trade-off for saving instead of recomputing becomes more favorable.If so, I think this change is a good idea, as long as it is configurable and has a sensible default that is documented clearly.
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Good question, relative to non-matmuls, perhaps small matmuls still do a disproportionate amount of compute relative to output size, so there could definitely be benefit to saving as well.
Although as Daniel mentions, relative to large matmuls, small matmuls indeed have a more favorable memory/compute trade off for recomputing, so intuitively it might be more pareto optimal to recompute, e.g.
If we were to follow a greedy heuristic of only saving the op with the next best trade-off, since we're currently only saving every other large matmul, the most profitable next tensor to save should be another large matmul, rather spending that same amount of memory saving a bunch of smaller ones.
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oh this is great argument, I got the idea.