(of a liquid) having been purified by undergoing heating and condensation

distilled water

having been shortened so that only the essential meaning or most important aspects remain

the report is a distilled version of the main accounts

purify (a liquid) by heating it so that it vaporizes, then cooling and condensing the vapour and collecting the resulting liquid

they managed to distil a small quantity of water

extract the essential meaning or most important aspects of

my travel notes were distilled into a book