'Eureka machine' works out laws of nature
guardian.co.uk
guardian.co.uk
Furthermore, there are sciences like neurobiology where we have lots of disparate data and due to increasing sensor resolution, we are getting reams more. What is needed are theories to explain it, and thus shed lights on the underlying mechanisms. This kind of unifying theory is much more complex than newtonian mechanics - with no offense, I hope, to the great Sir Isaac Newton.
Furthermore, the Eureka machine was already studying the right experimet which generated the right data - from which Newton's laws were obvious. Sir Isaac Newton had to decide, among many other things, which was the right phenomenon to consider, and from which angle - and all this against huge cultural biases against "simplistic" and "mechanical" laws that might restrain God's power.
Isn't it plain regression or other prediction tasks. More important that finding out relations is the ability to look at the right places for data. If you feed data to any prediction algorithm (ANN, GP, Regression, etc.), it is sure to come up with an equation.