at first glance vs deeply

at first glance

prep
  • After only a superficial examination or review 

deeply

adv
  • Richly. 

  • So as to extend far down or far into something. 

  • To a deep extent or degree; very greatly. 

  • In a profound, not superficial, manner. 

  • At depth. 

  • In large volume. 

  • Soundly; so as to be hard to rouse. 

How often have the words at first glance and deeply occurred in a corpus of books? (source: Google Ngram Viewer )