Average Error: 13.7 → 0.1
Time: 15.4s
Precision: 64
\[\frac{\sin x \cdot \sinh y}{x}\]
↓
\[\sinh y \cdot \frac{\sin x}{x}\]
\frac{\sin x \cdot \sinh y}{x}
↓
\sinh y \cdot \frac{\sin x}{x}
double f(double x, double y) {
        double r21712799 = x;
        double r21712800 = sin(r21712799);
        double r21712801 = y;
        double r21712802 = sinh(r21712801);
        double r21712803 = r21712800 * r21712802;
        double r21712804 = r21712803 / r21712799;
        return r21712804;
}
↓
double f(double x, double y) {
        double r21712805 = y;
        double r21712806 = sinh(r21712805);
        double r21712807 = x;
        double r21712808 = sin(r21712807);
        double r21712809 = r21712808 / r21712807;
        double r21712810 = r21712806 * r21712809;
        return r21712810;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.7
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x}\]

Derivation

  1. Initial program 13.7

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

  3. Applied associate-/l*0.7

    \[\leadsto \color{blue}{\frac{\sin x}{\frac{x}{\sinh y}}}\]
  4. Using strategy rm

  5. Applied associate-/r/0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y)
  :name "Linear.Quaternion:$ccosh from linear-1.19.1.3"

  :herbie-target
  (* (sin x) (/ (sinh y) x))

  (/ (* (sin x) (sinh y)) x))