Average Error: 13.9 → 0.1
Time: 18.0s
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 r25808254 = x;
        double r25808255 = sin(r25808254);
        double r25808256 = y;
        double r25808257 = sinh(r25808256);
        double r25808258 = r25808255 * r25808257;
        double r25808259 = r25808258 / r25808254;
        return r25808259;
}
↓
double f(double x, double y) {
        double r25808260 = y;
        double r25808261 = sinh(r25808260);
        double r25808262 = x;
        double r25808263 = sin(r25808262);
        double r25808264 = r25808263 / r25808262;
        double r25808265 = r25808261 * r25808264;
        return r25808265;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.9
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x}\]

Derivation

  1. Initial program 13.9

    \[\frac{\sin x \cdot \sinh y}{x}\]
  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 2019162 
(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))