Average Error: 0.0 → 0.0
Time: 20.2s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\sqrt{\frac{\sinh y}{y}} \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sin x\right)\]
\sin x \cdot \frac{\sinh y}{y}
↓
\sqrt{\frac{\sinh y}{y}} \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sin x\right)
double f(double x, double y) {
        double r5457981 = x;
        double r5457982 = sin(r5457981);
        double r5457983 = y;
        double r5457984 = sinh(r5457983);
        double r5457985 = r5457984 / r5457983;
        double r5457986 = r5457982 * r5457985;
        return r5457986;
}
↓
double f(double x, double y) {
        double r5457987 = y;
        double r5457988 = sinh(r5457987);
        double r5457989 = r5457988 / r5457987;
        double r5457990 = sqrt(r5457989);
        double r5457991 = x;
        double r5457992 = sin(r5457991);
        double r5457993 = r5457990 * r5457992;
        double r5457994 = r5457990 * r5457993;
        return r5457994;
}

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 add-sqr-sqrt0.0

    \[\leadsto \sin x \cdot \color{blue}{\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)}\]

  4. Applied associate-*r*0.0

    \[\leadsto \color{blue}{\left(\sin x \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sqrt{\frac{\sinh y}{y}}}\]

  5. Final simplification0.0

    \[\leadsto \sqrt{\frac{\sinh y}{y}} \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sin x\right)\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))