Average Error: 0.3 → 0.3
Time: 2.1s
Precision: binary64
\[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]
↓
\[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]
\frac{\sin x}{x + y} - \frac{\cos x}{y - x}
↓
\frac{\sin x}{x + y} - \frac{\cos x}{y - x}
double code(double x, double y) {
	return ((double) (((double) (((double) sin(x)) / ((double) (x + y)))) - ((double) (((double) cos(x)) / ((double) (y - x))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) sin(x)) / ((double) (x + y)))) - ((double) (((double) cos(x)) / ((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 0.3

    \[\frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]

  2. Final simplification0.3

    \[\leadsto \frac{\sin x}{x + y} - \frac{\cos x}{y - x}\]

Reproduce

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