Average Error: 27.6 → 27.6
Time: 1.6s
Precision: binary64
\[\sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)\]
↓
\[\sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)\]
\sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)
↓
\sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)
double code(double x) {
	return ((double) sin(((double) (((double) (x * ((double) atan(1.0)))) / 45.0))));
}
↓
double code(double x) {
	return ((double) sin(((double) (((double) (x * ((double) atan(1.0)))) / 45.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.6

    \[\sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)\]

  2. Final simplification27.6

    \[\leadsto \sin \left(\frac{x \cdot \tan^{-1} 1}{45}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(sin (/ (* x (atan 1)) 45))"
  :precision binary64
  (sin (/ (* x (atan 1.0)) 45.0)))