An integrated coprocessor such as an accelerated processing unit (APU) generates commands for execution on a discrete coprocessor such as a discrete graphics processing unit (dGPU). Power distribution circuitry selectively provides power to the APU and the dGPU based on characteristics of workloads executing on the APU and the dGPU and based on a platform power limit that is shared by the APU and the dGPU. In some cases, the power distribution circuitry determines a first power provided to the APU and a second power provided to the dGPU. The power distribution circuitry increases the second power provided to the dGPU in response to a sum of the first and second powers being less than the platform power limit. In some cases, the power distribution circuitry modifies the power provided to the APU, the dGPU, or both in response to changes in temperatures measured by a set of sensors.