be equal to vs keep up with

be equal to

keep up with

verb
  • To manage to follow an argument, a discussion, etc. 

  • To manage to remain up to date with trends, fashions, etc 

  • To manage to remain beside or just behind someone or something that is moving away from one. 

How often have the words be equal to and keep up with occurred in a corpus of books? (source: Google Ngram Viewer )