Progression of the posterior EoS (ε versus p), speed of sound (﹩{c}_{s}^{2}﹩ versus n), and the mass–radius relation (M versus R) as a function of the relative correlation length σ/n = 1%, 10%, 20%, and 40%. Each EoS drawn from the prior is colored according to the combined likelihood function. The likelihood function is normalized separately to the maximum likelihood for each fixed correlation length. As the correlation length increases, the global structure of the EoS with significant softening at high densities becomes clearer. The bar marked with σ indicates the correlation length associated with each column. The relative correlation length corresponds to a fixed length on a logarithmic axis.