If you raise power consumption by a factor of 4 in the ALU and ROB, you'll still take less power if you go 4x faster, assuming other parts of the system remain

If you raise power consumption by a factor of 4 in the ALU and ROB, you'll still take less power if you go 4x faster, assuming other parts of the system remain at constant consumption. Also take into account memory clock speeds and power on time. Every nanosecond your CPU spends with the memory bus powered up and the memory at top clock, is an important nanosecond.