Average Error: 0.0 → 0.0
Time: 5.9s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\sin x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\sin x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r148978 = x;
        double r148979 = sin(r148978);
        double r148980 = y;
        double r148981 = sinh(r148980);
        double r148982 = r148981 / r148980;
        double r148983 = r148979 * r148982;
        return r148983;
}
↓
double f(double x, double y) {
        double r148984 = x;
        double r148985 = sin(r148984);
        double r148986 = 1.0;
        double r148987 = y;
        double r148988 = sinh(r148987);
        double r148989 = r148987 / r148988;
        double r148990 = r148986 / r148989;
        double r148991 = r148985 * r148990;
        return r148991;
}

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 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020033 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))