Average Error: 0.0 → 0.0
Time: 24.4s
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 r129581 = x;
        double r129582 = cos(r129581);
        double r129583 = y;
        double r129584 = sinh(r129583);
        double r129585 = r129584 / r129583;
        double r129586 = r129582 * r129585;
        return r129586;
}
↓
double f(double x, double y) {
        double r129587 = x;
        double r129588 = cos(r129587);
        double r129589 = 1.0;
        double r129590 = y;
        double r129591 = sinh(r129590);
        double r129592 = r129590 / r129591;
        double r129593 = r129589 / r129592;
        double r129594 = r129588 * r129593;
        return r129594;
}

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)))