Average Error: 0.0 → 0.0
Time: 4.6s
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 r126244 = x;
        double r126245 = cos(r126244);
        double r126246 = y;
        double r126247 = sinh(r126246);
        double r126248 = r126247 / r126246;
        double r126249 = r126245 * r126248;
        return r126249;
}
↓
double f(double x, double y) {
        double r126250 = x;
        double r126251 = cos(r126250);
        double r126252 = y;
        double r126253 = sinh(r126252);
        double r126254 = r126253 / r126252;
        double r126255 = sqrt(r126254);
        double r126256 = r126255 * r126255;
        double r126257 = r126251 * r126256;
        return r126257;
}

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 2020047 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))