heavy hitter vs king of the hill

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. 

king of the hill

noun
  • A person who has achieved a measure of success and is considered to be a leader in his field. 

  • A children's game in which one player stands on top of a hill or other location atop an incline, and attempts to repel other players whose goal is to capture his position. 

  • The player in this game who stands atop the hill. 

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