> That said, I really appreciate Rein's reply and recognize that picking Double for the extended default rules is "a good choice."
To follow up a bit, the reason that it's a good choice is pragmatic: we usually prefer to work with such numbers using native floating point math for speed rather than using rational or computable real or other representations which are more accurate but many orders of magnitude slower. If I said 3.5 + 1 in any general purpose language, I would be surprised if it did anything other than an immediate floating point calculation, and so it is (by default) in Haskell.
If we want another representation then we must reach for it, but we don't need to reach very far.