Average Error: 0.1 → 0.2
Time: 10.2s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[x \cdot \frac{1}{\frac{y}{\sin y}}\]
x \cdot \frac{\sin y}{y}
↓
x \cdot \frac{1}{\frac{y}{\sin y}}
double f(double x, double y) {
        double r182578 = x;
        double r182579 = y;
        double r182580 = sin(r182579);
        double r182581 = r182580 / r182579;
        double r182582 = r182578 * r182581;
        return r182582;
}
↓
double f(double x, double y) {
        double r182583 = x;
        double r182584 = 1.0;
        double r182585 = y;
        double r182586 = sin(r182585);
        double r182587 = r182585 / r182586;
        double r182588 = r182584 / r182587;
        double r182589 = r182583 * r182588;
        return r182589;
}

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. Using strategy rm

  3. Applied clear-num0.2

    \[\leadsto x \cdot \color{blue}{\frac{1}{\frac{y}{\sin y}}}\]

  4. Final simplification0.2

    \[\leadsto x \cdot \frac{1}{\frac{y}{\sin y}}\]

Reproduce

herbie shell --seed 2019209 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))