Average Error: 0.0 → 0.0
Time: 10.0s
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 r147190 = x;
        double r147191 = cos(r147190);
        double r147192 = y;
        double r147193 = sinh(r147192);
        double r147194 = r147193 / r147192;
        double r147195 = r147191 * r147194;
        return r147195;
}
↓
double f(double x, double y) {
        double r147196 = x;
        double r147197 = cos(r147196);
        double r147198 = 1.0;
        double r147199 = y;
        double r147200 = sinh(r147199);
        double r147201 = r147199 / r147200;
        double r147202 = r147198 / r147201;
        double r147203 = r147197 * r147202;
        return r147203;
}

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)))