Fold and Scan
The Array Cast
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The Importance of Optimization in Arrays
The way to optimize those is not to immediately break it down into a into a series of scalar operations, but instead to be more careful and start with your whole array stuff. I think actually starting from an array representation you do have a pretty good chance without going through a C style scalar representation first. And maybe even you know compile these array operations into operations of individual registers, which is hard.
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