Average Error: 0.0 → 0.0
Time: 17.0s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x\]
\sin x \cdot \frac{\sinh y}{y}
↓
\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x
double f(double x, double y) {
        double r118028 = x;
        double r118029 = sin(r118028);
        double r118030 = y;
        double r118031 = sinh(r118030);
        double r118032 = r118031 / r118030;
        double r118033 = r118029 * r118032;
        return r118033;
}
↓
double f(double x, double y) {
        double r118034 = y;
        double r118035 = sinh(r118034);
        double r118036 = r118035 / r118034;
        double r118037 = sqrt(r118036);
        double r118038 = r118037 * r118037;
        double r118039 = x;
        double r118040 = sin(r118039);
        double r118041 = r118038 * r118040;
        return r118041;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))