cut out vs make a run for it

cut out

verb
  • To leave suddenly. 

  • To take a ship out of a harbor etc. by getting between her and the shore. 

  • To intercept. 

  • To arrange or prepare. 

  • To remove, omit. 

  • Used other than figuratively or idiomatically: see cut, out. To separate into parts with or as if with a sharp-edged instrument; sever. 

  • To refrain from (doing something, using something etc.), to stop/cease (doing something). 

  • To oust, to replace. 

  • To separate from a herd. 

  • To stop working, to switch off; (of a person on the telephone etc.) to be inaudible, be disconnected. 

adj
  • Well suited; appropriate; fit for a particular activity or purpose. 

make a run for it

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

  • To run so as to avoid being late. 

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