Average Error: 0.1 → 0.1
Time: 3.6s
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 r111031 = x;
        double r111032 = y;
        double r111033 = sin(r111032);
        double r111034 = r111033 / r111032;
        double r111035 = r111031 * r111034;
        return r111035;
}
↓
double f(double x, double y) {
        double r111036 = x;
        double r111037 = y;
        double r111038 = sin(r111037);
        double r111039 = r111038 / r111037;
        double r111040 = r111036 * r111039;
        return r111040;
}

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 2020046 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))