at any rate vs anyhow

at any rate and anyhow both are adverbs.

Word	Noun	Adjective	Verb	Adverb
at any rate	No	No	No	Yes
anyhow	No	No	No	Yes

As adverbs, at any rate and anyhow are synonyms defined as:

at any rate and anyhow: used to indicate that a statement explains or supports a previous statement

Other synonyms of at any rate include anyway, anyways, in any case, in any event.

at any rate (adverb)	anyhow (adverb)
used to indicate that a statement explains or supports a previous statement	used to indicate that a statement explains or supports a previous statement
if nothing else (`leastwise' is informal and `leastways' is colloquial)	in any way whatsoever