loosely vs vacuously

loosely

adv
  • In a loose manner. 

  • Not tightly. 

  • Approximately. 

  • Used to indicate an imprecise use of words; short for loosely speaking 

vacuously

adv
  • In a vacuous manner, lacking thought. 

  • Because of being a vacuous truth. 

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