  We construct planar black hole solutions of AdS gravity minimally coupled to
a scalar field with an even, super-exponential potential. We show that the
evolution of the black hole interior exhibits an infinite sequence of Kasner
epochs, as the scalar field rolls back and forth in its potential. We obtain an
analytic expression for the `bounces' between each Kasner epoch and also give
an explicit formula for the times and strengths of the bounces at late interior
times, thereby fully characterizing the interior evolution. In this way we show
that the interior geometry approaches the Schwarzschild singularity at late
times, even as the scalar field is driven higher up its potential with each
bounce.
