make a run for it vs run a mile

make a run for it

verb
  • To attempt to escape; to flee; to run away. 

  • To run so as to avoid being late. 

run a mile

verb
  • To escape, flee or leave a situation or relationship, usually as a result of a shocking or sudden announcement or revelation. 

How often have the words make a run for it and run a mile occurred in a corpus of books? (source: Google Ngram Viewer )