inflation rate vs rate of inflation

inflation rate and rate of inflation both are nouns.

Word	Noun	Adjective	Verb	Adverb
inflation rate	Yes	No	No	No
rate of inflation	Yes	No	No	No

As nouns, inflation rate and rate of inflation are synonyms defined as:

inflation rate and rate of inflation: the rate of change of prices (as indicated by a price index) calculated on a monthly or annual basis

inflation rate (noun)	rate of inflation (noun)
the rate of change of prices (as indicated by a price index) calculated on a monthly or annual basis	the rate of change of prices (as indicated by a price index) calculated on a monthly or annual basis