Are more complex physics formulas, like those involving exponents, roots, logs, trig functions, etc., approximations to a certain degree? Are even simple formulas approximations? If so, what kinda precision: deci-, centi-, milli-, or better? Is there a regulated precision for new physics formulas, if any? And which body would regulate? When was the last physics formula introduced? Can you provide a web link that documents the history of formulas?