compensate vs make it up to

compensate

verb
  • To pay or reward someone in exchange for work done or some other consideration. 

  • To do (something good) after (something bad) happens 

  • To adjust or adapt to a change, often a harm or deprivation. 

  • To make up for; to do something in place of something else; to correct, satisfy; to reach an agreement such that the scales are literally or (metaphorically) balanced; to equalize or make even. 

make it up to

verb
  • To pay back; to return someone a previous good deed. 

  • to redeem oneself 

How often have the words compensate and make it up to occurred in a corpus of books? (source: Google Ngram Viewer )