tail latency

The 70% rule of thumb falls out of one formula once you plug in a prefill time and a p99 target. The answer derives it, shows how prompt-length variance moves it to 50%, and lists the four ways an LLM engine breaks the textbook queue.

A regular period is a clue most candidates throw away. The answer turns it into a ranked list of periodic sources, shows why a few slow steps out of hundreds own the p99, and names the one correlation that separates the top two.

The speedup formula has two inputs that vary per request and per moment, and the tail lives where both are bad. The answer computes when speculation turns into a slowdown, shows which requests own the p99, and picks a policy instead of an on/off switch.