expedite

Etymology

From Latin expedītus (“unimpeded, unfettered”), perfect passive participle of expediō (“bring forward, set right”).

verb

1. (transitive) To accelerate the progress of.
   He expedited the search by alphabetizing the papers.
   […] moreover, there are times of pressure when, to expedite deliveries, cars may be driven in what should otherwise be the running-in period at speeds that do them no good - and over long distances too. 1960 June, “British cars go by rail: I-The L.M.R. wins new Anglo-Scottish traffic”, in Trains Illustrated, page 335
2. (transitive, by extension) To perform (a task) fast and efficiently.
3. To perform the duties of an expediter.

adj

1. Free of impediment; unimpeded.
2. Expeditious; quick; prompt.