Average Error: 0.1 → 0.1
Time: 8.3s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[x \cdot \frac{\sin y}{y}\]
x \cdot \frac{\sin y}{y}
↓
x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r744 = x;
        double r745 = y;
        double r746 = sin(r745);
        double r747 = r746 / r745;
        double r748 = r744 * r747;
        return r748;
}
↓
double f(double x, double y) {
        double r749 = x;
        double r750 = y;
        double r751 = sin(r750);
        double r752 = r751 / r750;
        double r753 = r749 * r752;
        return r753;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))