Average Error: 0.1 → 0.2
Time: 17.1s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\frac{\cosh x}{\frac{y}{\sin y}}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\frac{\cosh x}{\frac{y}{\sin y}}
double f(double x, double y) {
        double r331590 = x;
        double r331591 = cosh(r331590);
        double r331592 = y;
        double r331593 = sin(r331592);
        double r331594 = r331593 / r331592;
        double r331595 = r331591 * r331594;
        return r331595;
}
↓
double f(double x, double y) {
        double r331596 = x;
        double r331597 = cosh(r331596);
        double r331598 = y;
        double r331599 = sin(r331598);
        double r331600 = r331598 / r331599;
        double r331601 = r331597 / r331600;
        return r331601;
}

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

Original0.1
Target0.1
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

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

  2. Simplified0.1

    \[\leadsto \color{blue}{\frac{\cosh x \cdot \sin y}{y}}\]
  3. Using strategy rm

  4. Applied associate-/l*0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2019196 
(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)))