It's your choice, but I think the movie does do really well and complements the book nicely. It does leave a lot out, but - that's part of the art of it.
Everything the book couldn't do, the movie did - from the banal dialog, stiff acting, the monolith reveal, the many ways it tells the audience humans, as they are, do not really belong in space, and the deep time perspective from the prologue with a black screen and music playing, the universe going on without anyone to see it, to the starchild, a newborn god made created from a human looking back to its cradle.
It doesn't get old. It's a fine piece you can watch more than once and savour the nearly perfect construction.
“The screenplay was written by Kubrick and science fiction author Arthur C. Clarke, and was inspired by Clarke's 1951 short story "The Sentinel" and other short stories by Clarke. Clarke also published a novelisation of the film, in part written concurrently with the screenplay, after the film's release.”
Clarke himself provides additional details of the process, as well as omitted excerpts and scenes, in The Lost Worlds of 2001 (1972):
And it hints at a sequel not yet made, "20001".
The movie isn't bad, but following on from 2001 is a hopeless task.