After pressing a "Compute Robust Plot" button, user can see a box-based enclosure of graph of 1/(1+10000*x^2).
User sees the enclosure appear in batches when the enclosure takes a noticeable time to compute. (We may need to slow down the computation artificially for testing purposes.)
User can pause/resume the computation.
On pan or zoom the enclosure is discarded. (This will change in future iterations.)