When Nintendo announced the New Nintendo 3DS, it said the portable was more powerful than the original. After loading a few games and booting up the machine, the NN3DS certainly does seem faster.
In the above video, you can see me and my older son doing a quick speed test. This is hardly scientific! But, we tried this numerous times, and the NN3DS always booted up first.
The New Nintendo 3DS feels like a slightly quicker, finely tuned 3DS. A performance model, if you will.
Be sure to check out Kotaku's New Nintendo 3DS comparisons right here.