Average Error: 0.2 → 0.2
Time: 1.1s
Precision: binary64
\[\frac{\tan^{-1} x}{\tan x}\]
↓
\[\frac{\tan^{-1} x}{\tan x}\]
\frac{\tan^{-1} x}{\tan x}
↓
\frac{\tan^{-1} x}{\tan x}
double code(double x) {
	return ((double) (((double) atan(x)) / ((double) tan(x))));
}
↓
double code(double x) {
	return ((double) (((double) atan(x)) / ((double) tan(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{\tan^{-1} x}{\tan x}\]

  2. Final simplification0.2

    \[\leadsto \frac{\tan^{-1} x}{\tan x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (atan x) (tan x))"
  :precision binary64
  (/ (atan x) (tan x)))