No trade-off exists in this particular case, because executing fewer instructions for the same useful result is both faster and lower in total energy use overall.

A trade-off does exist, because faster execution requires the processor to run at a higher clock speed and a higher clock speed produces increased energy consumption.

A trade-off exists in principle, but the magnitude is too small to detect in any production setting and so it can be ignored as a pure performance improvement.

A trade-off exists only when the rewrite changes the language used by the algorithm, because language choice is the dominant factor in algorithmic energy consumption.