Progress on computing the hadronic vacuum polarization contribution to the muon anomalous magnetic moment with staggered fermions

We give an update of our calculation of the light-quark, connected, hadronic vacuum polarization contribution to the muon anomalous magnetic moment, or muon $g-2$. The update includes preliminary results on a $2+1+1$ highly-improved staggered quark (HISQ) ensemble from the MILC collaboration with physical pion mass, $0.042$ fm lattice spacing, and volume ${144}^3\times 288$. We discuss code and algorithm improvements for these calculations to compute the vector-vector correlation function more efficiently.