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Polyhedral optimisation is cool (Facebook has been using it to great effect for ML kernels recently [1]), but it’s not the end of the story. It’s complementary to this paper, which seems to be about learning an effective and transferrable cost model to guide the optimisation process (you could use that learned cost model in a polyhedral optimiser).

[1]: https://arxiv.org/abs/1802.04730

Uhh.... this sounds interesting. Maybe we'll see it soon-ish (<5y) in LLVM/GCC.

It already exists! Check out Polly for LLVM.

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