A system that simulates an integrated circuit is formed of a plurality of devices. The system initially performs a fundamental circuit simulation run using original parameters for the plurality of devices and an initial time step. The system generates one or more fundamental time steps from the fundamental circuit simulation run. The fundamental time steps are generated when changes that indicate state time derivatives during two or more successive integration steps are within a predetermined range. The system stores the one or more fundamental time steps as fundamental circuit events in an events queue, and updates the parameters for the plurality of devices based on the fundamental circuit events to generate one or more derivative circuits. The system then performs one or more derivative circuit simulation runs using the derivative circuits.