Average Error: 0.1 → 0.2
Time: 4.0s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[\frac{x}{\frac{y}{\sin y}}\]
x \cdot \frac{\sin y}{y}
↓
\frac{x}{\frac{y}{\sin y}}
double f(double x, double y) {
        double r135199 = x;
        double r135200 = y;
        double r135201 = sin(r135200);
        double r135202 = r135201 / r135200;
        double r135203 = r135199 * r135202;
        return r135203;
}
↓
double f(double x, double y) {
        double r135204 = x;
        double r135205 = y;
        double r135206 = sin(r135205);
        double r135207 = r135205 / r135206;
        double r135208 = r135204 / r135207;
        return r135208;
}

Error

Bits error versus x

Bits error versus y

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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 associate-*r/7.4

    \[\leadsto \color{blue}{\frac{x \cdot \sin y}{y}}\]
  4. Using strategy rm

  5. Applied associate-/l*0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2020036 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))