  We obtain the first quantitative stochastic homogenization result for
reaction-diffusion equations, for ignition reactions in dimensions $d\le 3$
that either have finite ranges of dependence or are close enough to such
reactions, and for solutions with initial data that approximate characteristic
functions of general convex sets. We show algebraic rate of convergence of
these solutions to their homogenized limits, which are (discontinuous)
viscosity solutions of certain related Hamilton-Jacobi equations.
