Average Error: 0.1 → 0.1
Time: 18.4s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r23332119 = x;
        double r23332120 = cosh(r23332119);
        double r23332121 = y;
        double r23332122 = sin(r23332121);
        double r23332123 = r23332122 / r23332121;
        double r23332124 = r23332120 * r23332123;
        return r23332124;
}
↓
double f(double x, double y) {
        double r23332125 = x;
        double r23332126 = cosh(r23332125);
        double r23332127 = y;
        double r23332128 = sin(r23332127);
        double r23332129 = r23332128 / r23332127;
        double r23332130 = r23332126 * r23332129;
        return r23332130;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

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

  3. Applied clear-num0.2

    \[\leadsto \cosh x \cdot \color{blue}{\frac{1}{\frac{y}{\sin y}}}\]

  4. Taylor expanded around inf 0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019170 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"

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

  (* (cosh x) (/ (sin y) y)))