Weirdly, the original algo is showcased visually, very easy to understand even by 9th graders. While the new one...can't be or quanta woulnd't show it to us just like that?
What I'm trying to state is that if the new algo is so much better, that it can't be explained visually, then the simplicity perhaps was sacrificed, which was what kept the original algo going for 300 years...
The paper has some examples, and a very clear one for the univariate case[1].
Yes, weird of Quanta to not include such an example.
The illustrated example isn’t multivariate and can be drawn in 2 dimensions. The harder examples are also harder to visualise.