The Free On-line Dictionary of Computing (30 December 2018):

Hyperstrict

   A function which is hyperstrict in some argument will fully
   evaluate that argument.  To fully evaluate an object, evaluate
   it to WHNF and if it is a constructed data object (e.g. a list
   or tuple) then fully evaluate every component and so on
   recursively.  Thus a hyperstrict function will fail to
   terminate if its argument or any component or sub-component of
   its argument fails to terminate (i.e. if its argument is not
   "total").