Deep (Radio Edit)
"Deep" is a Fragile-era song made specifically for the Lara Croft: Tomb Raider soundtrack. Because of this, it has never appeared on a studio album.
The title and lyrics may be related to "Even Deeper."
- Lara Croft: Tomb Raider
This is the original version found on the Lara Croft: Tomb Raider soundtrack. A simple song in its structure, the verses feature a loud 4/4 drum loop and a permeating synthesized bassline surrounded by ambient loops. The choruses are distinguished by a permutation of the bassline punctured by wah guitar soloing. Reznor delivers most of the lyrics quite harshly in both sections.
Deep (Radio Edit)
Running Time: 3:35
This version is about 30 seconds shorter than the original.
Officially mastered, this vocal-less mix was released by Reznor through his remix.nin.com account.
The music video for "Deep" was filmed in May, 2001, and directed by Enda McCallion. The story in the video is told in reverse, with the end of the story beginning the video.
Reznor plays a man who robbed an armored car carrying two security boxes containing a small fortune. When he subtly alerts his girlfriend that he's going to retrieve them, she wants in. They carry off the boxes, leaving in separate vehicles. What neither of them realize is that the boxes have been tamper-proofed with a highly caustic and corrosive dye. When they both try to break open the boxes, they get hit by the dye. In a panic and burning due to the dye, they both try to find each other, crashing their vehicles when they meet. Reznor manages to crawl out of his car and finds his girlfriend lying unconscious on the pavement. Intercut with these events is footage of a newscast in which the anchorwoman describes what has happened and what will happen if/when the dye hits human skin.
Described above is how the events happened, but the video begins with the car crash and ends with Reznor and his girlfriend deciding to open the boxes.
Behind the Scenes
Michel Gondry was one of the directors who pitched a concept for this music video. Reznor ultimately selected a different pitch, but the next year Gondry used the concept for Kylie Minogue's "Come Into My World" music video. 
Blank stare, disrepair There's a big black hole gonna eat me up someday Someday fades away Like a memory—or a place that you'd rather be Some place, lost in space Itch in my head that's telling me somewhere Somewhere, out there, anywhere, I don't care, get me out of here If I could feel All the pins and the pricks If you were real I could take what's apart and put it back together This will come true Help me get through Into you Deep All I can do Driving me through Into you Deep One track, got you on your back Your skin speaks up but your lips couldn't say it Right now, I know somehow We could take the chance and we could make it (make it) Right here make it all disappear Everything that we've been missing, missing You make me feel That there's a part of me That I want to get back again Make this come true Help me get through Into you Deep All I can do Pushing it through Into you Deep All I can do Driving on through Into you Deep You're slipping through I'm coming to Into you Deep We could become Two into one Leave this behind Over and done Everything new I'm getting through Into you