Average Error: 15.1 → 15.1
Time: 2.6s
Precision: binary64
\[\sin \left(y - x\right) - \cos \left(x - y\right)\]
↓
\[\sin \left(y - x\right) - \cos \left(x - y\right)\]
\sin \left(y - x\right) - \cos \left(x - y\right)
↓
\sin \left(y - x\right) - \cos \left(x - y\right)
double code(double y, double x) {
	return ((double) (((double) sin(((double) (y - x)))) - ((double) cos(((double) (x - y))))));
}
↓
double code(double y, double x) {
	return ((double) (((double) sin(((double) (y - x)))) - ((double) cos(((double) (x - y))))));
}

Error

Bits error versus y

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.1

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

  2. Final simplification15.1

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

Reproduce

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