Average Error: 27.8 → 27.8
Time: 1.2s
Precision: binary64
\[\sin \left(\frac{1}{\tan^{-1} x}\right)\]
↓
\[\sin \left(\frac{1}{\tan^{-1} x}\right)\]
\sin \left(\frac{1}{\tan^{-1} x}\right)
↓
\sin \left(\frac{1}{\tan^{-1} x}\right)
double code(double x) {
	return ((double) sin(((double) (1.0 / ((double) atan(x))))));
}
↓
double code(double x) {
	return ((double) sin(((double) (1.0 / ((double) atan(x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.8

    \[\sin \left(\frac{1}{\tan^{-1} x}\right)\]

  2. Final simplification27.8

    \[\leadsto \sin \left(\frac{1}{\tan^{-1} x}\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sin (/ 1 (atan x)))"
  :precision binary64
  (sin (/ 1.0 (atan x))))