Average Error: 0.0 → 0.0
Time: 13.9s
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 r145762 = x;
        double r145763 = cos(r145762);
        double r145764 = y;
        double r145765 = sinh(r145764);
        double r145766 = r145765 / r145764;
        double r145767 = r145763 * r145766;
        return r145767;
}
↓
double f(double x, double y) {
        double r145768 = x;
        double r145769 = cos(r145768);
        double r145770 = 1.0;
        double r145771 = y;
        double r145772 = sinh(r145771);
        double r145773 = r145771 / r145772;
        double r145774 = r145770 / r145773;
        double r145775 = r145769 * r145774;
        return r145775;
}

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