Average Error: 14.0 → 0.1
Time: 1.2m
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 r25954213 = x;
        double r25954214 = sin(r25954213);
        double r25954215 = y;
        double r25954216 = sinh(r25954215);
        double r25954217 = r25954214 * r25954216;
        double r25954218 = r25954217 / r25954213;
        return r25954218;
}
↓
double f(double x, double y) {
        double r25954219 = y;
        double r25954220 = sinh(r25954219);
        double r25954221 = x;
        double r25954222 = sin(r25954221);
        double r25954223 = r25954222 / r25954221;
        double r25954224 = r25954220 * r25954223;
        return r25954224;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original14.0
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x}\]

Derivation

  1. Initial program 14.0

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

  3. Applied associate-/l*0.8

    \[\leadsto \color{blue}{\frac{\sin x}{\frac{x}{\sinh y}}}\]
  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 2019200 
(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))