freeze out vs keep at arm's length

freeze out

verb
  • To forcibly remove or exclude. 

keep at arm's length

verb
  • Avoid direct confrontation or struggle. 

  • Avoid a close relationship. 

  • Keep at a distance, away from one's body. 

How often have the words freeze out and keep at arm's length occurred in a corpus of books? (source: Google Ngram Viewer )