Optimizing the operation of a hydraulically powered rotor and stator driven drill as it drills a wellbore into the earth is described. Drilling optimization is provided measuring a first set of rotor and stator operating parameters including the speed of rotation of the rotor and rotor torque for a first period of time, generating a first set of relationships from the first set of operating parameters to enable the rotor speed and rotor torque to be predicted over a range of operating parameter values, determining from the relationships a first more optimal mode of operation, and changing at least one operating parameter to move the operation of the rotor and stator towards the more optimal mode of operation.