The Usual Suspects ?
The twist looked a lot like that from The Usual Suspects... especially the part where the police officer is the character that recalls everything he may have missed and failed to see and that he is actually closing in on the heels of the perpetrator protagonist but does miss him by a whisker.... and of course, the protagonist that pulls of the trick is almost superhuman.
Oh well, I just forgot the storyline of the Prestige... but I could draw a lot of analogies there too, if i tried perhaps.