A disclosed system of an emulation environment performs a simulation to construct a waveform of a target signal based on signals traced by an emulator for a time frame including multiple clock cycles. In one embodiment, a simulation is performed in a manner that an input of the logic gate, in a first duration of the time frame at which an output of the logic gate depends on the input, is analyzed to obtain the output, and the input of the logic gate, in a second duration of the time frame at which the output of the logic gate is independent, is omitted. In one aspect, the input of the logic gate is simulated for the first duration based on a periodicity in a waveform of the input in the first duration.