This is a good picture of the value of experience.

If the system you're looking at is simple enough for you to entirely analyse and understand it when encountered, experience won't add anything. However even for smart humans this restricts you to pretty simple systems!

Experience allows you to observe and make models of the emergent patterns of high-level behaviour of a system, without understanding the details of how they follow from the lower-level details. In many complex systems this high-level behaviour can be very simple. For example the sun rises once every day. You could understand this in terms of the physics of the situation, but you can simply learn the pattern from experience.