Average Error: 0.0 → 0.0
Time: 4.8s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r175059 = x;
        double r175060 = cos(r175059);
        double r175061 = y;
        double r175062 = sinh(r175061);
        double r175063 = r175062 / r175061;
        double r175064 = r175060 * r175063;
        return r175064;
}
↓
double f(double x, double y) {
        double r175065 = x;
        double r175066 = cos(r175065);
        double r175067 = 1.0;
        double r175068 = y;
        double r175069 = sinh(r175068);
        double r175070 = r175068 / r175069;
        double r175071 = r175067 / r175070;
        double r175072 = r175066 * r175071;
        return r175072;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  3. Applied clear-num0.0

    \[\leadsto \cos x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]

  4. Final simplification0.0

    \[\leadsto \cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))