Improved stimulation circuitry for controlling the stimulation delivered by an implantable stimulator is disclosed. The stimulation circuitry includes memory circuitry that stores pulse programs that define pulse shapes, steering programs that define electrode configurations, and aggregate programs that link a selected pulse program with a selected steering program. Each steering program defines the stimulation polarity and the allocation of current of the specified stimulation polarity for each of the pulse generator's electrodes. Each pulse program includes one or more pulse instructions, where each instruction defines the parameters of a single phase of the pulse program. Pulse definition circuits in the stimulation circuitry execute aggregate programs to generate stimulation waveforms, which stimulation waveforms can be generated simultaneously by the different pulse definition circuits.