What is it about telling Claude "I'm only a biological human and now I have to go to sleep" that will get it to keep cranking away for hours. I have good success with similar statements and usually come back off several hours to find that Claude has managed to babysit several computational runs.

It's interesting to note that the expensive part of this experiment was the Claude operations expense. For me I find that Claude is a small fraction of my cost with most of the bill attributed to computers to run simulations instead of the AI to monitor and tweak the simulations.

I think it's mostly just what it is on it's face; You're telling it to be independent for a while. The default prompts start in an interactive mode where it checks in and verifies requirements a lot.