Average Error: 0.0 → 0.0
Time: 4.4s
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 r178652 = x;
        double r178653 = cos(r178652);
        double r178654 = y;
        double r178655 = sinh(r178654);
        double r178656 = r178655 / r178654;
        double r178657 = r178653 * r178656;
        return r178657;
}
↓
double f(double x, double y) {
        double r178658 = x;
        double r178659 = cos(r178658);
        double r178660 = 1.0;
        double r178661 = y;
        double r178662 = sinh(r178661);
        double r178663 = r178661 / r178662;
        double r178664 = r178660 / r178663;
        double r178665 = r178659 * r178664;
        return r178665;
}

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 2020046 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))