depths vs undersurface

depths

noun
  • The deepest part. (Usually of a body of water.) 

  • The most severe or involved period. 

  • The lowest point, all-time low, nadir. 

  • A very remote part. 

undersurface

noun
  • The underneath surface; the bottom, or underside 

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