Average Error: 0.0 → 0.0
Time: 17.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{\frac{1}{y}}{\frac{1}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{\frac{1}{y}}{\frac{1}{\sinh y}}
double f(double x, double y) {
        double r193884 = x;
        double r193885 = cos(r193884);
        double r193886 = y;
        double r193887 = sinh(r193886);
        double r193888 = r193887 / r193886;
        double r193889 = r193885 * r193888;
        return r193889;
}
↓
double f(double x, double y) {
        double r193890 = x;
        double r193891 = cos(r193890);
        double r193892 = 1.0;
        double r193893 = y;
        double r193894 = r193892 / r193893;
        double r193895 = sinh(r193893);
        double r193896 = r193892 / r193895;
        double r193897 = r193894 / r193896;
        double r193898 = r193891 * r193897;
        return r193898;
}

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. Using strategy rm

  5. Applied div-inv0.2

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

  6. Applied associate-/r*0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020045 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))