  We prove exponential contraction of renormalization along hybrid classes of
infinitely renormalizable unimodal maps (with arbitrary combinatorics), in any
even degree $d$. We then conclude that orbits of renormalization are asymptotic
to the full renormalization horseshoe, which we construct. Our argument for
exponential contraction is based on a precompactness property of the
renormalization operator ("beau bounds"), which is leveraged in the abstract
analysis of holomorphic iteration. Besides greater generality, it yields a
unified approach to all combinatorics and degrees: there is no need to account
for the varied geometric details of the dynamics, which were the typical source
of contraction in previous restricted proofs.
