1. An information handling system comprising: one or more processors; a memory coupled to at least one of the processors; and a set of computer program instructions stored in the memory and executed by at least one of the processors in order to perform actions of: executing a plurality of first sensitivity tests on a circuit model using a first signal arrival time value, the executing resulting in a plurality of first test results; adjusting the first signal arrival time value to a second signal arrival time value in response to determining that the plurality of first test results do not meet a pre-determined probability threshold; executing a plurality of second sensitivity tests on the circuit model using the second signal arrival time value, the executing resulting in a plurality of second test results; in response to determining that the plurality of second test results meets the pre-determined probability threshold, computing a timing constraint sensitivity utilizing the second signal arrival time value; determining whether the timing constraint sensitivity is within a pre-defined tolerance of a characterized sensitivity of the circuit model, wherein the characterized sensitivity was generated by a software modeling system during library characterization of the circuit model; and adjusting one or more modeling parameters of the software modeling system based upon the determining, wherein the software modeling system generates a changed characterized sensitivity of the circuit model using the adjusted one or more modeling parameters.