If God has made the world a perfect mechanism He has at least conceded so much to our imperfect intellect that in order to predict little parts of it we need not solve innumerable differential equations but can use dice with fair success.
The universe is governed by science. But science tells us that we can't solve the equations directly in the abstract.
It seems that if one is working from the point of view of getting beauty in one's equations and if one has really a sound insight one is on a sure line of progress.
But the beauty of Einstein's equations for example is just as real to anyone who's experienced it as the beauty of music. We've learned in the 20th century that the equations that work have inner harmony.
Parents of recovered children and I've met hundreds all share the same experience of doubters and deniers telling us our child must have never even had autism or that the recovery was simply nature's course. We all know better and frankly we're too busy helping other parents to really care.