As an example application to demonstrate the benefits of localization with MIG, examine the Wilson-Dslash stencil operator, a key kernel for lattice quantum chromodynamics (LQCD) drawn from the QUDA library. This library is used to accelerate several large LQCD codes, such as Chroma and MILC. The Dslash kernel is a finite difference operation on a 4D toroidal lattice, where data at each lattice site is updated depending on the values of its eight orthogonal neighbors. The four dimensions in this case are the usual spatial dimensions (X, Y, Z) and the time dimension (T). The kernel is memory