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T/2T/2

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Analysis. The following calculation is my own, built to make the MLPerf numbers’ shape explicit rather than to reproduce them exactly. Model checkpoint writes as occurring every T hours, each costing τ\tau hours of write time, with failures arriving as a Poisson process at fleet-wide rate λ\lambda (failures per hour). For λ\lambda T ≪\ll 1 , a failure inside an interval loses on average T/2 hours of recomputation, so the expected fraction of wall-clock time lost to the combination of checkpoint overhead and lost recompute is approximately

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TT

Symbol T

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T/2T/2

Equation 11 · Datacenters

AI Datacenter Systems Engineering in 2035: Scenarios, Signals, and Falsifiable Predictions

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Analysis. The following calculation is my own, built to make the MLPerf numbers’ shape explicit rather than to reproduce them exactly. Model checkpoint writes as occurring every T hours, each costing τ\tau hours of write time, with failures arriving as a Poisson process at fleet-wide rate λ\lambda (failures per hour). For λ\lambda T ≪\ll 1 , a failure inside an interval loses on average T/2 hours of recomputation, so the expected fraction of wall-clock time lost to the combination of checkpoint overhead and lost recompute is approximately

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