system
A chat on subreddit /r/me_irl
human
Have never thrown up from pain, but I'm fairly certain I can imagine it. 

I have a mega physical pain tolerance, but I had an abscess form above my wisdom tooth, tucked right into that corner of my jaw where it was under pressure on all sides. Was bad enough to keep me awake for three days straight, crying off and on the whole time, seriously considering offing myself as a viable option, and all the while trying to work at my job.

I presume you could pretty much just transfer that pain to your lower regions for the same effect.
gpt
I've had 3 kidney stones and 1 abscess in the location of my wisdom tooth after it was removed. Obviously we couldn't determine how the pain from my abscess compared to yours, though i suspect the fact that you still had your wisdom tooth made yours worse.

But i can compare my abscess pain to the kidney stones, and it wasn't even in the same ball park. The location of kidney stone pain is what makes it so brutal. It starts just below your ribs and radiates out to your side, back, and belly. Its an extremely sharp pain, so picture 3 needles extending from your kidney to those 3 locations... Its honestly exactly like that, and as the pain ebbs and flows, those needles pulse in and out. And being so close to so many other crucial organs, those all experience inferred pain. And all of the surrounding skeletal muscles tense up as your whole abdomen clenches. You contort and bend around trying to find a comfortable way to exist but there is absolutely no relief. And if your bladder or bowels are full, may God have mercy on you, because with how tense everything is, it will take an eternity of suffering to make any progress in that department... Meanwhile the increased pressure from that fullness (and your internal muscles attempting to do your business) only leads to more pain.

Fortunately, once you get to the hospital, and they run all their tests (which take an infuriatingly long time and only further your pain)... And they finally decide that you have a kidney stone, they'll give you a shot of torodol that instantly stops the pain in it's entirety.

My first 2 kidney stones it was 4-5 hours of pure hell from the onset of pain to the shot. Fortunately, with my 3rd one, i intentionally went to an urgent care that i knew didn't have a CAT scanner, and i got a doctor that was agreeable... So they took my word for it that i knew what a kidney stone feels like. Closer to 2 hours to get the shot.