  A regular equivalence between two graphs $\Gamma,\Gamma'$ is a pair of
uniformly proper Lipschitz maps $V\Gamma\to V\Gamma'$ and $V\Gamma'\to
V\Gamma$. Using separation profiles we prove that there are $2^{\aleph_0}$
regular equivalence classes of expander graphs, and of finitely generated
groups with a representative which isometrically contains expanders.
