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GPUs are designed to do massive parallel computations which all branch one way and don't have much (any?) branch prediction logic.

You trade it off with increased code size which might spill the cache but for small tight loops not exceeding the cache line/ size it would still be a good win.

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Would there be any benefit to adding branch prediction logic to a GPU?

You would probably get some benefit on a per CUDA core basis, but the extra space required would mean less CUDA cores, overall it would probably be a net loss on problems well suited to GPU acceleration

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