Average Error: 0.1 → 0.2
Time: 4.2s
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 r192326 = x;
        double r192327 = y;
        double r192328 = sin(r192327);
        double r192329 = r192328 / r192327;
        double r192330 = r192326 * r192329;
        return r192330;
}
↓
double f(double x, double y) {
        double r192331 = x;
        double r192332 = 1.0;
        double r192333 = y;
        double r192334 = sin(r192333);
        double r192335 = r192333 / r192334;
        double r192336 = r192332 / r192335;
        double r192337 = r192331 * r192336;
        return r192337;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))