(- (cos x) (sin y))

Average Error: 0.4 → 0.4

Time: 6.3s

Precision: binary64

Math

\[\cos x - \sin y\]

↓

\[\cos x - \sin y\]

C

double code(double x, double y) {
	return ((double) (((double) cos(x)) - ((double) sin(y))));
}

↓

double code(double x, double y) {
	return ((double) (((double) cos(x)) - ((double) sin(y))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.4

   \[\cos x - \sin y\]

2. Final simplification 0.4

   \[\leadsto \cos x - \sin y\]

Reproduce

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