And look at the fused column — in this benchmark, vmap flash attention doesn’t pull ahead until n=8192, when the score matrix is 256 MB and no longer fits in ~128 MB of VMEM. At n=4096, XLA’s fused standard path still wins comfortably. Below that threshold, the fully fused path keeps everything on-chip and wins. Above it, the tiled approach avoids materializing the score matrix entirely — exactly the same win as on GPU, just at a higher threshold because TPU has more on-chip memory.
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