cross-purpose vs discrepancy

cross-purpose

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

discrepancy

noun
  • An inconsistency between facts or sentiments. 

  • The state or quality of being discrepant. 

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