on the way up vs out of the woods

on the way up

out of the woods

prep
  • Out of peril; likely to recover or prevail over trouble; finished with the worst or most threatening part of a problem or illness. 

  • Used other than figuratively or idiomatically: see out of, the, woods. 

How often have the words on the way up and out of the woods occurred in a corpus of books? (source: Google Ngram Viewer )