This is part of ongoing work with Professor Felisa Vázquez-Abad of Hunter College. This is the preliminary draft submitted for the WODES 2016 conference. The particularly tricky bit this time around was our decision to use a less trivial example scenario: instead of just a deterministic function plus a normally distributed noise term, we chose to construct a more complicated stochastic function. Crucially, since we wanted to speak to the usefulness of gradient estimation, we wanted a function where IPA derivative estimation could be used.