Average Error: 0.0 → 0.0
Time: 635.0ms
Precision: binary64
\[sin \cdot x - \frac{x}{2}\]
↓
\[sin \cdot x - \frac{x}{2}\]
sin \cdot x - \frac{x}{2}
↓
sin \cdot x - \frac{x}{2}
double code(double sin, double x) {
	return ((double) (((double) (sin * x)) - ((double) (x / 2.0))));
}
↓
double code(double sin, double x) {
	return ((double) (((double) (sin * x)) - ((double) (x / 2.0))));
}

Error

Bits error versus sin

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[sin \cdot x - \frac{x}{2}\]

  2. Final simplification0.0

    \[\leadsto sin \cdot x - \frac{x}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (sin x)
  :name "(- (* sin x) (/ x 2))"
  :precision binary64
  (- (* sin x) (/ x 2.0)))