count up vs quantify

count up

verb
  • to add to get a total 

quantify

verb
  • To assign a quantity to. 

  • To determine the value of (a variable or expression). 

  • To relate a statement (called a predicate) to a given set using a quantifier—either for all (denoted ∀) or there exists (denoted ∃). 

How often have the words count up and quantify occurred in a corpus of books? (source: Google Ngram Viewer )