give someone the heave-ho vs retrench

give someone the heave-ho

verb
  • To fire, expel or break up with someone. 

  • To eject a player or manager from the game. 

retrench

verb
  • To cut down or reduce. 

  • To furnish with a retrenchment (a defensive work within a fortification). 

  • To dig or redig a trench where one already exists. 

  • To terminate the employment of a worker to reduce the size of a workforce; to make redundant. 

  • To abridge; to curtail. 

  • To live less expensively; to economize. 

  • To confine; to limit; to restrict. 

  • To take up a new defensive position. 

How often have the words give someone the heave-ho and retrench occurred in a corpus of books? (source: Google Ngram Viewer )