Average Error: 0.0 → 0.0
Time: 6.5s
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 r145649 = x;
        double r145650 = cos(r145649);
        double r145651 = y;
        double r145652 = sinh(r145651);
        double r145653 = r145652 / r145651;
        double r145654 = r145650 * r145653;
        return r145654;
}
↓
double f(double x, double y) {
        double r145655 = x;
        double r145656 = cos(r145655);
        double r145657 = 1.0;
        double r145658 = y;
        double r145659 = sinh(r145658);
        double r145660 = r145658 / r145659;
        double r145661 = r145657 / r145660;
        double r145662 = r145656 * r145661;
        return r145662;
}

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 2020035 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))