Your graph shows “a small increase” that represents progress that is equal to an advance of a third to a half the time left until catastrophe on the default trajectory. That’s not small!
Yes, I was going to say something similar. It looks like the value of the purple curve is about double the blue curve when the purple curve hits AGI. If they have the same doubling time, that means the “small” increase is a full doubling of progress, all in one go. Also, the time you arrive ahead of the original curve is equal to the time it takes the original curve to catch up with you. So if your “small” jump gets you to AGI in 10 years instead of 15, then your “small” jump represents 5 years of progress. This is easier to see on a log plot:
Yes, I was going to say something similar. It looks like the value of the purple curve is about double the blue curve when the purple curve hits AGI. If they have the same doubling time, that means the “small” increase is a full doubling of progress, all in one go. Also, the time you arrive ahead of the original curve is equal to the time it takes the original curve to catch up with you. So if your “small” jump gets you to AGI in 10 years instead of 15, then your “small” jump represents 5 years of progress. This is easier to see on a log plot: