Hi Young Chun, Welcome to Julia! Like Jeffrey, I think your question was a good one and the outcome is even better.
I don't know how others feel, but as an "oldie", it is super encouraging to me that: 1. People can even ask questions like this 2. Julia provides a highly satisfactory solution When I was a kid, we had to walk uphill to in the snow to school both ways and we could not ask such questions. Even if we could ask, the answer would be less than satisfactory. The possibilities the young scientists today are provided is tremendous and I look forward to seeing what you and others come up with. Out of curiosity, is anyone using Julia for fast polynomial approximations such as fast-multipole methods in gravitation/electromagnetics? This kind of fast auto-differentiation seems perfectly suited for these large-scale problems. Cheers! Eric