A microprocessor includes two or more processing cores each configured to determine, at each of succeeding instances in time, an amount of energy consumed by the microprocessor during a period preceding the instance in time. The period is predetermined. Each core also operates at a frequency above a predetermined frequency in response to determining the amount of energy consumed is less than a predetermined amount of energy. All of the cores may operate above the predetermined frequency simultaneously until one of the cores determines the microprocessor has consumed more than the predetermined amount of energy during the period preceding the instance in time. The predetermined frequency may be: a frequency at which all the cores can operate over the predetermined period without the microprocessor consuming more than the predetermined amount of energy, or alternatively the maximum frequency at which system software may request the cores to operate.