absurdum vs fool's errand

absurdum

noun
  • An illogical conclusion or state. 

fool's errand

noun
  • A foolish undertaking, especially one that is purposeless, fruitless, nonsensical, or certain to fail. 

  • Such an undertaking, assigned as a prank. 

How often have the words absurdum and fool's errand occurred in a corpus of books? (source: Google Ngram Viewer )