Average Error: 0.0 → 0.0
Time: 6.5s
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 r150854 = x;
        double r150855 = cos(r150854);
        double r150856 = y;
        double r150857 = sinh(r150856);
        double r150858 = r150857 / r150856;
        double r150859 = r150855 * r150858;
        return r150859;
}
↓
double f(double x, double y) {
        double r150860 = x;
        double r150861 = cos(r150860);
        double r150862 = 1.0;
        double r150863 = y;
        double r150864 = sinh(r150863);
        double r150865 = r150863 / r150864;
        double r150866 = r150862 / r150865;
        double r150867 = r150861 * r150866;
        return r150867;
}

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 2020035 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))