cursor-small and cursor-fast were two internal models we created ourselves to trial out! However, we are replacing cursor-small with cursor-fast soon, but keeping the name cursor-small, so there will only be the one option soon!
o1-preview was the demo version of o1, and may perform slightly worse. Both models have the same usage cost, so I’d preference o1 over the preview model unless you see a big difference.
It’s our own in house model, but I won’t reveal any secret sauce for now! We may have a blog post about it in the future with more details, but that’s all I can say for now…