No, you paid for the end result. The thought process is a step in between, a function. Think about it, who should get charged if the answer you received comes from a cache? Thinking tokens are the complexity-of-the-problem cost. I mean, you may not agree but both are valid points of view.
No I didn't. I buy my tokens from a provider that exposes the model reasoning so I can understand what it's doing and work with it, or interrupt if I see things going in the wrong direction.
Nope. You are charged for the reasoning tokens as well. Actually, most of the expense is the reasoning part.
> No, you paid for the end result.
No, I literally am paying for the thought process, per token. "Pay only for the result" is not how these things are billed.