Average Error: 59.1 → 14.9
Time: 2.8s
Precision: binary64
\[\sin \left(\left(x + \pi\right) - y\right)\]
↓
\[\sin \left(y - x\right)\]
\sin \left(\left(x + \pi\right) - y\right)
↓
\sin \left(y - x\right)
double code(double x, double y) {
	return ((double) sin(((double) (((double) (x + ((double) M_PI))) - y))));
}
↓
double code(double x, double y) {
	return ((double) sin(((double) (y - x))));
}

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 59.1

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

  2. Simplified14.9

    \[\leadsto \color{blue}{\sin \left(y - x\right)}\]

  3. Final simplification14.9

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

Reproduce

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