anomaly vs exception

anomaly

noun
  • Something or someone that is strange or unusual. 

  • Any of various angular distances. 

  • A defect or malformation. 

  • A failure of a classical symmetry due to quantum corrections. 

  • Any event or measurement that is out of the ordinary regardless of whether it is exceptional or not. 

  • A deviation from a rule or from what is regarded as normal; an outlier. 

exception

noun
  • That which is excluded from others; a person, thing, or case, specified as distinct, or not included. 

  • An objection; cavil; dissent; disapprobation; offense; cause of offense; — usually followed by to or against. 

  • An objection, on legal grounds; also, as in conveyancing, a clause by which the grantor excepts or reserves something before the right is transferred. 

  • An interruption in normal processing, typically caused by an error condition, that can be raised ("thrown") by one part of the program and handled ("caught") by another part. 

  • The act of excepting or excluding; exclusion; restriction by taking out something which would otherwise be included, as in a class, statement, rule. 

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