[Haskell-beginners] Designing TimeOut for Search Algorithm

Good Morning,  I currently want to write a search algorithm with 3 end conditions: a) Solution Found  b) N-iterations done  c) x minutes timeout I would like to split the function in two pieces, one which is pure with a seed and no timeout, and one time-outed in a monad (IO?). So  pureSearch :: Seed -> Iterations -> Maybe Result  and  search :: Timeout -> Seed -> Iterations -> IO Maybe Result Is this a known Pattern?  Do you know good examples for this behavior?  Any other recommendations before I start implementing?  Best Leonhard