The double-integral form of overdamped Kramers' theory may be too complex for analytical predictions of unfolding-force histograms. Rather than testing the entire sawsim simulation, we will focus on demonstrating that the Kramers' evaluations are working properly. If the Bell modeled histograms check out, that gives reasonable support for the histogram portion of the simulation.
Looking for analytic solutions to Kramers' , we find that there are not many floating around in a finished form. However, we do have analytic solutions for unforced for cusp-like and quartic potentials.