Average Error: 0.1 → 0.2
Time: 12.3s
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 r156391 = x;
        double r156392 = y;
        double r156393 = sin(r156392);
        double r156394 = r156393 / r156392;
        double r156395 = r156391 * r156394;
        return r156395;
}
↓
double f(double x, double y) {
        double r156396 = x;
        double r156397 = 1.0;
        double r156398 = y;
        double r156399 = sin(r156398);
        double r156400 = r156398 / r156399;
        double r156401 = r156397 / r156400;
        double r156402 = r156396 * r156401;
        return r156402;
}

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 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)))