Couchdb has difficulty with full-text search (unless external software is used), although mysql is not particularly good at this, the couch is even worse.
Couchdb is not going to do a good job when your data model implies multiple and complex relationships between objects, after all, it is a document-based system, not relational dbms.
In addition, IMO coupe rules.
EDIT: In particular, when you need to relax, of course! :)
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