(- (sin x) (cos y))

Average Error: 0.4 → 0.4

Time: 2.2s

Precision: binary64

Math

\[\sin x - \cos y\]

↓

\[\sin x - \cos y\]

C

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

↓

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

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.4

   \[\sin x - \cos y\]

2. Final simplification 0.4

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(- (sin x) (cos y))"
  :precision binary64
  (- (sin x) (cos y)))