anyhow vs at any rate

anyhow and at any rate both are adverbs.

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

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

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

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

anyhow (adverb)	at any rate (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
in any way whatsoever	if nothing else (`leastwise' is informal and `leastways' is colloquial)