Systems and techniques for optimizing a circuit design are described. When a selected gate is transformed during optimization, it causes a slack value at a pin of the transformed gate to change. The change in the slack value, called the delta-slack, is then propagated through a transitive fanin cone and a transitive fanout cone of the transformed gate to compute the new slack values at all the affected pins of the design. Some embodiments update slack values without propagating arrival and required times, and also without repeatedly evaluating timing arcs to compute gate delays. The updated slack values can be used to compute timing metrics. The timing metrics can be used to decide whether or not to commit the gate transformation to the circuit design.