T = processing time with constant cpu speed starting at t=0
solving
gives
This is minimal for
The duration of the calculation will be
Or, when
This has the following result:
When however the calculation is started at t=0, running at ever increasing CPU speeds:
The # operations per second performed as function of t
Where C is the current number of ops/sec
The total number of operations needed to complete the calculation is T*C
So for
determine minimal ending time
So
This is minimal for t0=0, giving