cross-purpose vs mismatch

cross-purpose

noun
  • A contrary or conflicting purpose or understanding, especially an unintentional or misconceived one. 

mismatch

noun
  • Something that does not match; something dissimilar, inappropriate or unsuitable. 

verb
  • To match unsuitably; to fail to match 

How often have the words cross-purpose and mismatch occurred in a corpus of books? (source: Google Ngram Viewer )