Average Error: 0.1 → 0.2
Time: 3.3s
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 r158312 = x;
        double r158313 = y;
        double r158314 = sin(r158313);
        double r158315 = r158314 / r158313;
        double r158316 = r158312 * r158315;
        return r158316;
}
↓
double f(double x, double y) {
        double r158317 = x;
        double r158318 = 1.0;
        double r158319 = y;
        double r158320 = sin(r158319);
        double r158321 = r158319 / r158320;
        double r158322 = r158318 / r158321;
        double r158323 = r158317 * r158322;
        return r158323;
}

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 2019362 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))