any vs the smallest amount of

any

pron
  • Any thing(s) or person(s). 

det
  • One at all; at least one; at least one kind of; some; a positive quantity of. 

  • No matter what kind. 

adv
  • To even the slightest extent, at all. 

the smallest amount of

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