  We propose a novel theory of gravity that by construction is renormalizable,
evades Ostragadsky's no-go theorem, is locally scale-invariant in the
high-energy limit, and equivalent to general relativity in the low-energy
limit. The theory is defined by a pure f(R) = R^n action in the Palatini
formalism, where the dimensionless exponent n runs from a value of two in the
high-energy limit to one in the low-energy limit. We show that the proposed
model contains no obvious cosmological curvature singularities. The viability
of the proposed model is qualitatively assessed using several key criteria.
