Average Error: 0.1 → 0.2
Time: 24.0s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{1}{\frac{y}{\sin y}}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{1}{\frac{y}{\sin y}}
double f(double x, double y) {
        double r343332 = x;
        double r343333 = cosh(r343332);
        double r343334 = y;
        double r343335 = sin(r343334);
        double r343336 = r343335 / r343334;
        double r343337 = r343333 * r343336;
        return r343337;
}
↓
double f(double x, double y) {
        double r343338 = x;
        double r343339 = cosh(r343338);
        double r343340 = 1.0;
        double r343341 = y;
        double r343342 = sin(r343341);
        double r343343 = r343341 / r343342;
        double r343344 = r343340 / r343343;
        double r343345 = r343339 * r343344;
        return r343345;
}

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

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019199 
(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)))