  We give a compact tableau formula for the symmetric Macdonald polynomials
$P_{\lambda}(X;q,t)$ in terms of a queue inversion statistic on certain sorted
non-attacking tableaux. The nonsymmetric components of our formula are the ASEP
polynomials, which specialize to the probabilities of the asymmetric simple
exclusion process (ASEP) on a circle. Moreover, the statistics in our formula
are naturally related to the dynamics of the ASEP. Our tableaux are in
bijection with Martin's multiline queues (arXiv:1810.10650), from which we
obtain an alternative multiline queue formula for $P_{\lambda}$.
