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Equation 13 · AI Datacenter Systems Engineering in Practice: An Advanced Technical Guide

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CC

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CC

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The consequence that matters operationally is that ToptT_{\text{opt}} shrinks as M shrinks, and M shrinks sharply as accelerator count grows — so a checkpoint interval tuned for a 512-GPU job is not a conservative choice for a 16,000-GPU job, it is simply wrong, and it will keep being wrong in the same direction as the fleet grows further. The only way to hold ToptT_{\text{opt}} steady as M falls is to drive C down, which is why so much of the published checkpointing literature is really about reducing checkpoint cost rather than changing checkpoint frequency directly.

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