Average Error: 0.1 → 0.1
Time: 1.2s
Precision: binary64
\[\frac{\sin \left(\frac{x}{2}\right)}{x}\]
↓
\[\frac{\sin \left(\frac{x}{2}\right)}{x}\]
\frac{\sin \left(\frac{x}{2}\right)}{x}
↓
\frac{\sin \left(\frac{x}{2}\right)}{x}
double code(double x) {
	return ((double) (((double) sin(((double) (x / 2.0)))) / x));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) (x / 2.0)))) / x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{\sin \left(\frac{x}{2}\right)}{x}\]

  2. Final simplification0.1

    \[\leadsto \frac{\sin \left(\frac{x}{2}\right)}{x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (sin (/ x 2)) x)"
  :precision binary64
  (/ (sin (/ x 2.0)) x))