Average Error: 0.0 → 0.0
Time: 25.7s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)
double f(double x, double y) {
        double r114181 = x;
        double r114182 = cos(r114181);
        double r114183 = y;
        double r114184 = sinh(r114183);
        double r114185 = r114184 / r114183;
        double r114186 = r114182 * r114185;
        return r114186;
}
↓
double f(double x, double y) {
        double r114187 = x;
        double r114188 = cos(r114187);
        double r114189 = y;
        double r114190 = sinh(r114189);
        double r114191 = r114190 / r114189;
        double r114192 = sqrt(r114191);
        double r114193 = r114192 * r114192;
        double r114194 = r114188 * r114193;
        return r114194;
}

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 add-sqr-sqrt0.0

    \[\leadsto \cos x \cdot \color{blue}{\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)}\]

  4. Final simplification0.0

    \[\leadsto \cos x \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right)\]

Reproduce

herbie shell --seed 2019325 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))