jump the gun vs off the top of head

jump the gun

verb
  • To trade securities based on information that is not yet public; to trade on inside information. 

  • To act or begin too soon or without due caution. 

  • To begin a race too soon, before the starting gun goes off. 

off the top of head

How often have the words jump the gun and off the top of head occurred in a corpus of books? (source: Google Ngram Viewer )