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Dylan16807 2 hours ago

That doesn't work. The only real difference between those two scales is in the values located between -.0000000001 and .0000000001 And that's grossly underestimating the number of 0s.

No matter what scale you pick, your number line is going to look like this: https://anniecherkaev.com/images/floating_point_density.jpg Do a 2x zoom in or out and not a single pixel of the graph will change, just the labels.

Whether your biggest value is 0.005 or 7000000, most of your range has 25 (or 54) bits of precision. 99% of values are either too small to matter or outside your range. Changing your scale shifts between the "too small" and "too big" categories, but the number of useful values stays roughly the same.