Average Error: 13.9 → 0.1
Time: 18.8s
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 r27068111 = x;
        double r27068112 = sin(r27068111);
        double r27068113 = y;
        double r27068114 = sinh(r27068113);
        double r27068115 = r27068112 * r27068114;
        double r27068116 = r27068115 / r27068111;
        return r27068116;
}
↓
double f(double x, double y) {
        double r27068117 = y;
        double r27068118 = sinh(r27068117);
        double r27068119 = x;
        double r27068120 = sin(r27068119);
        double r27068121 = r27068120 / r27068119;
        double r27068122 = r27068118 * r27068121;
        return r27068122;
}

Error

Bits error versus x

Bits error versus y

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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))