Every worked example on the rule pages carries a graph, and a single fixed window would wreck most of them. Two rules pick the frame instead.
Find the domain
The curves are sampled across a wide range and the stretch where both actually exist is measured. That
puts arcsin on roughly [−1.1, 1.1], artanh(2x) on [−0.55, 0.55], and the square root on the positive
half — without any of those being written down by hand.
Then fix the aspect
A steep function on a wide window draws as a vertical stripe. If the vertical spread is extreme relative
to the horizontal, the window narrows and the check repeats. That turns x⁵ and 3^(2x) from walls into
shapes.
The escape hatch
Content can still override the frame explicitly, for the rare case where the automatic choice is unhelpful. So far none of the ninety examples has needed it.