Is there an equation for intelligence? Yes. It is F = T ∇ Sτ. In a fascinating and informative speech, the physicist and computer scientist Alex Wissner-Gross explains what it can mean.
https://www.ted.com/talks/alex_wissner_gross_a_new_equation_for_intelligence?language=fr
Note an interesting passage on AI and intelligence in the broad sense (9'06 "):
(...) Let's go back to the origin of the use of the word robot, the play "RUR"; there has always been the concept that if we developed a machine intelligence, there would be a cybernetic revolt. The machines would rise up against us. A major consequence of this work is perhaps that during all these decades, we had the whole concept of cyber revolt upside down. The machines do not become intelligent then megalomaniac then try to conquer the world. It's the oppositethat the insistence on taking control of all possible futures is a more fundamental principle than that of intelligence, the general intelligence could indeed emerge directly from this type of takeover, rather than the opposite.
This should ask us about the current situation and excessive automation, (directly related to the subject "tomorrow all unemployed") and on the current ecocide.