FWIW the novel was also excellent and is one of my all-time favorite books. As someone who is smart but not that smart, in a culture (software/tech) where intelligence is fetishly worshipped to the detriment of other personality traits, this was a very humbling, humanizing, and deeply touching read.
EDIT: Actually, I just read the short story version. The story is essentially the same, as you'd expect, but the pacing suffered a little bit IMO. It was more believable in the longer form, where plot developments happened more gradually and the characters were fleshed out more. The novelization has more emotional impact because it was a smoother journey (at least as I remembered it) vs the rapid progression of the short story version. But, granted, it didn't help that I already knew the basic premise before reading the shorter version, so YMMV. Still, if you have time, why not go for the full thing? It's the sort of story that invites quiet contemplation instead of quick digestion.
I read the short story a few years after that. I think it’s the essence; I perceive it as a distillation of the novel (rather than the novel a dilution of the story, though I’m aware the story was first.) I guess had I started with it, I’d be considering it _the_ most important short story I’ve ever read today.
Either way, highly recommended.