Eureka!
Once Archimedes discovered the buoyancy principle, it seemed obvious. He should have known it already. It was right there.
Eureka is not about finding complicated solutions to problems. It's to uncover the elegant solution that's hiding in plain sight.
It takes hard, messy work to find the elegant solution... going into places you didn't plan, making mistakes, and finally stumbling onto it.
You might think taking a bath to relax might not be the way to figure out a mathematical principle the world will use for centuries... but that's how eureka works.