Average Error: 15.1 → 15.1
Time: 1.4s
Precision: binary64
\[\frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}\]
↓
\[\frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}\]
\frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}
↓
\frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) sin(x)) * y)) + ((double) (((double) sin(y)) * x)))) / ((double) (x * y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) (((double) sin(x)) * y)) + ((double) (((double) sin(y)) * x)))) / ((double) (x * y))));
}

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 15.1

    \[\frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}\]

  2. Final simplification15.1

    \[\leadsto \frac{\sin x \cdot y + \sin y \cdot x}{x \cdot y}\]

Reproduce

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