Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r192634 = x;
        double r192635 = cos(r192634);
        double r192636 = y;
        double r192637 = sinh(r192636);
        double r192638 = r192637 / r192636;
        double r192639 = r192635 * r192638;
        return r192639;
}
↓
double f(double x, double y) {
        double r192640 = x;
        double r192641 = cos(r192640);
        double r192642 = y;
        double r192643 = sinh(r192642);
        double r192644 = r192642 / r192643;
        double r192645 = r192641 / r192644;
        return r192645;
}

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. Using strategy rm

  5. Applied un-div-inv0.0

    \[\leadsto \color{blue}{\frac{\cos x}{\frac{y}{\sinh y}}}\]

  6. Final simplification0.0

    \[\leadsto \frac{\cos x}{\frac{y}{\sinh y}}\]

Reproduce

herbie shell --seed 2019354 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))