Average Error: 0.0 → 0.0
Time: 29.6s
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 r130512 = x;
        double r130513 = cos(r130512);
        double r130514 = y;
        double r130515 = sinh(r130514);
        double r130516 = r130515 / r130514;
        double r130517 = r130513 * r130516;
        return r130517;
}
↓
double f(double x, double y) {
        double r130518 = x;
        double r130519 = cos(r130518);
        double r130520 = y;
        double r130521 = sinh(r130520);
        double r130522 = r130520 / r130521;
        double r130523 = r130519 / r130522;
        return r130523;
}

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 2019323 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))