big name vs heavy hitter

big name

noun
  • A prominent individual, especially one who is favorably regarded. 

  • A widely-known reputation, especially one that is favorable. 

heavy hitter

noun
  • A person of considerable importance who is a major decision maker or capable achiever; an especially significant organization or an especially functional object. 

  • A player with a favorable batting average who is especially good at hitting the ball deep into the outfield or farther. 

  • In any sport, a strong, physical player who is particularly effective. 

How often have the words big name and heavy hitter occurred in a corpus of books? (source: Google Ngram Viewer )