Why bother with optimization?
In computing pi, the method is much more important than the value. Without further details, I don't know if the programmer's method is novel, but perhaps the implementation is.
The value itself is of little use, except that there is still no answer to the question whether pi follows a pattern, beyond being irrational and transcedental. Keep in mind that the Champernowne constant is irrational and transcedental too, but follows a relatively simple pattern.
Anyone can program, and anyone can learn programming.
No and no.
I have seen many people struggling to learn PHP (as part of their education). Not because they had any issues with the language itself, but because they couldn't systematically approach their problem. And if you would have read the TFA, or even simply peeked at the pictures, you would have seen that this IDE is almost a glorified code coloring editor, where words of code fit together like jigsaw pieces.
The art of programming is actually the art of reverse-engineering: you put your program together like you take your solution apart. If you don't know how to carefully dissect your ideas, then you are not a programmer.
When you are working hard, get up and retch every so often.