exalt vs heighten

exalt

verb
  • To raise in rank, status etc., to elevate. 

  • To honor; to hold in high esteem. 

  • To elate, or fill with the joy of success. 

heighten

verb
  • To make high; to raise higher; to elevate. 

  • To advance, increase, augment, make larger, more intense, stronger etc. 

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