claw back vs win back

claw back

verb
  • To recover or retake, with great effort, something that was lost, often by a government or official agency. 

win back

verb
  • To regain favour (with). 

  • To get (someone) to be one's partner, after having been apart. 

  • To win (something) that one has previously lost. 

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