In one embodiment, a processor comprises a plurality of cores and a controller. Each of the plurality of cores may include: an execution circuit, a power measurement circuit to measure power consumption of the core and a first register to store a power-related context identifier to identify a process to be executed on the core. The controller may include: a plurality of energy status registers each associated with a power-related context identifier and to store energy consumption information of a process; and a control circuit coupled to the plurality of energy status registers, where the control circuit is to enable each of a plurality of processes to independently monitor the energy consumption information of the process and prevent each of the plurality of processes from monitoring the energy consumption information of other ones of the plurality of processes. Other embodiments are described and claimed.