Average Error: 0.0 → 0.0
Time: 28.2s
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 r19120923 = x;
        double r19120924 = cos(r19120923);
        double r19120925 = y;
        double r19120926 = sinh(r19120925);
        double r19120927 = r19120926 / r19120925;
        double r19120928 = r19120924 * r19120927;
        return r19120928;
}
↓
double f(double x, double y) {
        double r19120929 = x;
        double r19120930 = cos(r19120929);
        double r19120931 = 1.0;
        double r19120932 = y;
        double r19120933 = sinh(r19120932);
        double r19120934 = r19120932 / r19120933;
        double r19120935 = r19120931 / r19120934;
        double r19120936 = r19120930 * r19120935;
        return r19120936;
}

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 2019173 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))