complete vs fill in

complete

verb
  • To make whole or entire. 

  • To call from the small blind in an unraised pot. 

  • To finish; to make done; to reach the end. 

noun
  • A completed survey. 

adj
  • In which every set with a lower bound has a greatest lower bound. 

  • That is in a given complexity class and is such that every other problem in the class can be reduced to it (usually in polynomial time or logarithmic space). 

  • In which every Cauchy sequence converges to a point within the space. 

  • Generic intensifier. 

  • In which all small limits exist. 

  • With all parts included; with nothing missing; full. 

  • In which every semantically valid well-formed formula is provable. 

  • Finished; ended; concluded; completed. 

fill in

verb
  • To fill; to replace material that is absent or has been removed. 

  • To substitute for somebody or something. 

  • To complete a form or questionnaire with requested information. 

  • To beat up; to physically assault. 

  • To inform somebody, especially to supply someone missing or missed information. 

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