How much does reasoning cost?

[porton.victor]

https://openai.com/api/pricing/

GPT-5:

Input:
$1.250 / 1M tokens

Cached input:
$0.125 / 1M tokens

Output:
$10.000 / 1M tokens

Where is the cost of reasoning? Is reasoning priced the same as Output?

I also want to know the typical cost of a single GPT-5 API call on wide-scale Web (with many URLs found during the GPT’s search) summarizations.

[aprendendo.next]

Yes, reasoning is a part of the output tokens count.

As for web search, a single responses API request may trigger multiple tool calls, depending on a variety of factors including reasoning levels, prompt complexity and parameters.

You can read more in the docs:

• https://platform.openai.com/docs/guides/tools-web-search?api-mode=responses
• https://platform.openai.com/docs/pricing#built-in-tools - pricing for search