different between precisely vs critically

English

precise +? -ly

precisely (comparative more precisely, superlative most precisely)

(manner) In a precise manner; exactly.
Synonyms: exactly, incisively; see also Thesaurus:exactly
Antonym: imprecisely
(focus) Used to provide emphasis.

critical +? -ly

critically (comparative more critically, superlative most critically)

In a critical manner; with, or in terms of, criticism.
a critically applauded film
I looked critically at the frayed carpet of the hotel room.
With close discernment; accurately; exactly.
- 1692?, John Dryden, Sylvae (translations), Preface
  Critically to discern […] good writers from bad.
At a crisis or critical time; in a situation, place, or condition of decisive consequence.
a fortification critically situated
- Coming critically the night before the session.

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