adverbial phrase vs set phrase

adverbial phrase

noun
  • A phrase that collectively modifies a verb, adjective, another adverb, or a prepositional phrase. 

set phrase

noun
  • An idiomatic expression in general. 

  • An established expression whose wording is subject to little or no variation, and which may or may not be idiomatic. 

How often have the words adverbial phrase and set phrase occurred in a corpus of books? (source: Google Ngram Viewer )