Science is older than you think. Science is making experiments, recording results, and trying to figure out what is going on.
The oldest clearest example of science is alchemy. Today we know it's impossible, but back then they reacted a tremendous number of compounds and carefully recorded the results.
The course of human history would be a lot different if the simple idea "Look for reasons why you are wrong, not reasons why you are right" could spread earlier and farther. Experimentation has occurred for the whole of human history, but I think that little tidbit is what was missing, distilled down to a single sentence, but one from which everything else can pretty much be derived once you accept it.
Come to think of it, the course of the human present would be pretty different too.
Is finding a way to turn dross into gold or purchase eternal life really science? Taoist alchemy may have been more philosophical in nature, but western alchemy was pretty goal oriented without much mindfulness about science as a higher level process. They weren't trying to understand how nature works, they were trying to enrich themselves. Very different.
You have a "Hollywood" view of alchemy. Most of the people who did it did not realistically expect to succeed. But they continued anyway.
History is full of people who did all sorts of experiments to try to understand how the world works.
It is not necessary to have a goal "understand this" in order to do science, it's enough to have a goal "what happens if I do this". If I do an experiment and find an interesting result, and I publish it, that's still science - even if I have no idea why what I did works.
I'll ignore your undignified cheap shot. Without understanding this as a conscious goal then a directed systematic inquiry that becomes highly integrated into culture and the economic system will not develop. Inventing the printing press, for example, without a sufficiently rich ecosystem in which it can nurture and grow prevented any catalytic effects that might have otherwise formed.
The oldest clearest example of science is alchemy. Today we know it's impossible, but back then they reacted a tremendous number of compounds and carefully recorded the results.