Run-time reduction is achieved in timing performance of a logical design, such as a digital integrated circuit. A portion of the logical design that is expected to be stable with respect to timing performance, such as a clock tree, is identified. Timing sensitivities, including sensitivities to sources of variability, of the identified portion of the logical design are determined at a given instant. The timing sensitivities of the identified portion of the logical design are saved for re-use. The saved timing sensitivities are re-used throughout the timing analysis and in subsequent timing analyses.