One of the producers on this film is Jonathan Nolan; brother and sometimes collaborator with his brother Christopher Nolan. And although he's not been given any screen credit for the script on this movie it; I'm betting that his marriage to the film director Lisa Joy allowed both Jonathan and Christopher Considerable input to the script development and the eventual shape of the finished project. (From this point forward there are some mild spoilers.)

Like most Nolan films this movie deals with time shifting and memories. Hugh Jackman runs a memory clinic in the futuristic sunken/water logged Miami. He and his Army Buddy (Thandiwe Newton) help their customers do everything from find lost keys to reliving the actual feeling of being held in the arms of their lover. The technology is amazing and allows Jackman & Newton to guide their customer through the catacombs of memories in their mind and view it as a 3D representation and record a legal document for posterity. They are licensed by the state and also are called upon by local prosecutors to recover memories that could prove the guilt or innocence of criminal suspects.

Against this backdrop Rebecca Ferguson plays a fem-fatale who's featured presence in the movie is all too short. She drop's into Jackman's life; he falls for her and the she's gone as quick as she appeared. Leading him to spend the rest of the film try to find her. For me this is where the movie began to go off the rails. The hunt begins a series of disjointed sequences -- including;
1). clients recorded memory sequence.
2). encounters with leads generated thru from scrubbed memories sequences.
3). leads generated from leads, leading to leads... etc.
You best be paying rapt attention here because the story pacing is breakneck speed.

To say the least Rebecca Ferguson's character is not what Jackman thought.

Jackman's fixation on her isn't healthy, but he can't help himself.

Thandiwe Newton's character could have used more development, but she did very well with little time that was allowed to her.

The very end of the movie tried to be both innovative and sentimental... but somehow seemed trite and fell flat; in keeping with the movie as a whole.