lack vs nonsufficiency

lack

noun
  • A deficiency or need (of something desirable or necessary); an absence, want. 

verb
  • To be short (of or for something). 

  • To be without, not to have, to need, to require. 

nonsufficiency

noun
  • insufficiency 

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