Average Error: 0.0 → 0.0
Time: 13.2s
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 r106128 = x;
        double r106129 = cos(r106128);
        double r106130 = y;
        double r106131 = sinh(r106130);
        double r106132 = r106131 / r106130;
        double r106133 = r106129 * r106132;
        return r106133;
}
↓
double f(double x, double y) {
        double r106134 = x;
        double r106135 = cos(r106134);
        double r106136 = 1.0;
        double r106137 = y;
        double r106138 = sinh(r106137);
        double r106139 = r106137 / r106138;
        double r106140 = r106136 / r106139;
        double r106141 = r106135 * r106140;
        return r106141;
}

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 2019305 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))