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Meta's Llama 3 report counted 419 unexpected interruptions in 54 days on 16,384 GPUs, one every three hours. The failure-rate arithmetic, the loss as a function of the interval, the square-root formula that minimizes it, and why the write must be sharded and asynchronous first.

Two restarts a day at fifteen minutes each is the 2%. The loss decomposed into detection, rescheduling, reload and rewound work, the lever on each, the in-memory checkpoint that makes the interval a minute, the square-root pareto of interval against write cost, and the residual that only fewer failures can remove.

A published run gives the numbers directly: 419 unexpected interruptions in 54 days on 16,384 GPUs, and about three quarters of them hardware. What that implies per GPU-hour, which components dominate, and why a fleet above a few thousand GPUs must treat failure as routine rather than exceptional.

Three quantities decide it: how often the job is interrupted, how long a checkpoint takes, and how long a restart takes. The formula that turns them into an optimal interval, the goodput it leaves, and the measured result showing that making checkpoints faster is worth more than checkpointing more often.