deranged vs few cards shy of a full deck

deranged

adj

  • Disturbed or upset, especially mentally. 

  • Insane. 

  • Malfunctioning or inoperative. 

few cards shy of a full deck

adj

  • mentally deranged; demented; insane. 

How often have the words deranged and few cards shy of a full deck occurred in a corpus of books? (source: Google Ngram Viewer )