Average Error: 0.1 → 0.1
Time: 17.2s
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 r129576 = x;
        double r129577 = y;
        double r129578 = sin(r129577);
        double r129579 = r129578 / r129577;
        double r129580 = r129576 * r129579;
        return r129580;
}
↓
double f(double x, double y) {
        double r129581 = x;
        double r129582 = y;
        double r129583 = sin(r129582);
        double r129584 = r129583 / r129582;
        double r129585 = r129581 * r129584;
        return r129585;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))