We are in the race for a better LLM, disguised as a race to the singularity, because that's what gets investor-dollars and fame.
Lets make the leap of faith that we can improve our AIs to actually understand code that it's reading and can suggest improvements. Current LLMs can't do it, but perhaps another approach can. I don't think this is a big leap. Might be 10 years, might be 100.
It's not unreasonable to think there is a lot of cruft and optimization to be had in our current tech stacks allowing for significant improvement. The AI can start looking at every source file from the lowest driver all the way up to the UI.
It can also start looking at hardware designs and build chips dedicated to the functions it needs to perform.
You only need to be as smart as a human to achieve this. You can rely on a "quantitative" approach because even human level AI brains don't need to sleep or eat or live. They just work on your problems 24/7 and can you have have as many as you can manufacture and power.
I think having "qualitatively" superior is a little easier actually because with a large enough database the AI has perfect recall and all of the worlds data at its fingertips. No human can do that.
Or is it more reasonable to suppose that 1) all those improvements might get us a factor of 10 in efficiency, but they won't get us an intelligence that can get us another factor of 10 in efficiency, 2) each doubling of ability will take much more than doubling of the number of CPU cycles and RAM, and 3) growth will asymptotically approach some upper limit?
Then when the earth is used up, you look at space. Space travel is a lot easier because you don't need to keep a meat bag alive.
I think as soon as you can get an AI to break a task down into smaller tasks, and make itself a todo list, you have the autonomy. You just kick it all off by asking it to improve itself. I doesn't have to "want" anything, it just needs to work.
"I. J. Good's intelligence explosion model of 1965, an upgradable intelligent agent could eventually enter a positive feedback loop of self-improvement cycles, each successive; and more intelligent generation appearing more and more rapidly, causing a rapid increase ("explosion") in intelligence which would ultimately result in a powerful superintelligence, qualitatively far surpassing all human intelligence.[4]"
https://en.wikipedia.org/wiki/Technological_singularity