if you squat/bare down while shoving a finger into your mouth/toothbrush back into throat/gargling salt water/whatever you are using to do so, it can make the process faster. usually whenever i do that i wrap a bit of toilet paper around my finger [partly because im trying to avoid calluses on my knuckles where other people may notice and i dont really like saliva, but it probably doesn't really do much for that] and because the mouth is a bit soggy, the toilet paper may disintegrate a bit to where it comes off your finger but a little stays back in your throat which can make you gag and throw up a bit easier, and some forceful coughing while whatever method you choose to do, i am unsure how to explain it besides a harsh cough that you can feel come up from your throat and go out your mouth particularly forceful, as opposed to a normal light cough. syrup of ipecac is a little hard to get [at least where i'm at] so i can't say much for that