Rule 1: Count round trips, not milliseconds.
Speed sounds like “how fast does one command run?” But a trivial command already runs in about 2 ms, two thousandths of a second. One round trip (the model asks, waits, reads the answer, thinks) takes seconds. So a rewrite cannot make a single call meaningfully faster. What it can do is make fewer calls.
Each lost trip costs several seconds and a few thousand tokens (the units a model reads and is charged for). Try the habits at right and watch them pile up.
Trips you never needed
Try itNot to scale. At true scale the first bar would be invisible.