Ask a programmer to estimate how long it'll take them to code something to see if we really have error bars on complex functions. The margin will be so wide as to be completely useless.
We do have error bars on simple measurements already. They're right there in the data sheet for the sensor. What you're asking for are error bars on things several levels distant in the layers of abstraction. Humans suck at that. We only cope the same way machines do: through constant negative feedback.
Programmers can give you good error bounds. Ask what the best and worst case is for solving a problem, and 80% of the time they will be within those bounds.
The problem is that management doesn't want to hear about the worst case, because it looks bad for them politically.
We do have error bars on simple measurements already. They're right there in the data sheet for the sensor. What you're asking for are error bars on things several levels distant in the layers of abstraction. Humans suck at that. We only cope the same way machines do: through constant negative feedback.