Average Error: 0.2 → 0.2
Time: 1.7s
Precision: binary64
\[\sin x - \sin \left(\frac{x}{2}\right)\]
↓
\[\sin x - \sin \left(\frac{x}{2}\right)\]
\sin x - \sin \left(\frac{x}{2}\right)
↓
\sin x - \sin \left(\frac{x}{2}\right)
double code(double x) {
	return ((double) (((double) sin(x)) - ((double) sin(((double) (x / 2.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(x)) - ((double) sin(((double) (x / 2.0))))));
}

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

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

  2. Final simplification0.2

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

Reproduce

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