1. A method implemented by an information handling system that includes a memory and a processor, the method comprising: executing, a plurality of sensitivity tests on a circuit model using a first signal arrival time, the executing resulting in a plurality of first test results; in response to determining that the plurality of first test results meets a pre-determined probability threshold, computing a timing constraint sensitivity utilizing the first signal arrival time; comparing the timing constraint sensitivity against a characterized sensitivity of the circuit model, wherein the characterized sensitivity was generated by a software modeling system; and adjusting one or more modeling parameters of the software modeling system based upon the comparing, wherein the adjusting results in the software modeling system generating a changed characterized sensitivity of the circuit model.