expose oneself vs stick one's neck out

expose oneself

verb
  • To put oneself in a vulnerable position. 

  • To display one's genitalia in a public place or in other inappropriate circumstances. 

stick one's neck out

verb
  • To take a risk, putting oneself in a vulnerable position. 

How often have the words expose oneself and stick one's neck out occurred in a corpus of books? (source: Google Ngram Viewer )