ratiocinate vs use one's head

ratiocinate

verb
  • To use the powers of the mind logically and methodically; to reason. 

use one's head

verb
  • To think carefully, especially as an alternative to being guided by one's emotions. 

  • To headbutt. 

How often have the words ratiocinate and use one's head occurred in a corpus of books? (source: Google Ngram Viewer )