Average Error: 36.9 → 36.9
Time: 4.7s
Precision: binary64
\[\sin \left(x + y\right) - \sin x \cdot \cos y\]
↓
\[\sin \left(x + y\right) - \sin x \cdot \cos y\]
\sin \left(x + y\right) - \sin x \cdot \cos y
↓
\sin \left(x + y\right) - \sin x \cdot \cos y
double code(double x, double y) {
	return ((double) (((double) sin(((double) (x + y)))) - ((double) (((double) sin(x)) * ((double) cos(y))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) sin(((double) (x + y)))) - ((double) (((double) sin(x)) * ((double) cos(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 36.9

    \[\sin \left(x + y\right) - \sin x \cdot \cos y\]

  2. Final simplification36.9

    \[\leadsto \sin \left(x + y\right) - \sin x \cdot \cos y\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- (sin (+ x y)) (* (sin x) (cos y)))"
  :precision binary64
  (- (sin (+ x y)) (* (sin x) (cos y))))