HPD is an encompassing suite of software that revolutionizes Stochastic Analysis, Modeling, & Optimization/Synthesis (SMAO). Its Fundamental Breakthrough is being able to compute "Exact" probability distributions, thus far, far superseding Monte Carlo. This has wide-reaching implications on appropriate stochastic modeling that must take into account many, many RVs that affect performance, and, of course, on computing "accurate" failure probabilities. . . Major Breakthroughs include that for Stochastic Optimization, which far, far supersedes Taguchi Methods.