underestimate vs understand

underestimate

verb
  • To perceive (someone or something) as having a lower value, quantity, worth, etc., than what he/she/it actually has. 

noun
  • An estimate that is too low. 

understand

verb
  • To believe, to think one grasps sufficiently despite potentially incomplete knowledge. 

  • To stand underneath, to support. 

  • To grasp a concept fully in one's mind, especially (of words, statements, art, etc.) to be aware of the meaning of and (of people) to be aware of the intent of. 

How often have the words underestimate and understand occurred in a corpus of books? (source: Google Ngram Viewer )