Average Error: 0.0 → 0.0
Time: 29.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r126788 = x;
        double r126789 = cos(r126788);
        double r126790 = y;
        double r126791 = sinh(r126790);
        double r126792 = r126791 / r126790;
        double r126793 = r126789 * r126792;
        return r126793;
}
↓
double f(double x, double y) {
        double r126794 = x;
        double r126795 = cos(r126794);
        double r126796 = y;
        double r126797 = sinh(r126796);
        double r126798 = r126796 / r126797;
        double r126799 = r126795 / r126798;
        return r126799;
}

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 un-div-inv0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))