Average Error: 0.0 → 0.0
Time: 31.8s
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 r100013 = x;
        double r100014 = cos(r100013);
        double r100015 = y;
        double r100016 = sinh(r100015);
        double r100017 = r100016 / r100015;
        double r100018 = r100014 * r100017;
        return r100018;
}
↓
double f(double x, double y) {
        double r100019 = x;
        double r100020 = cos(r100019);
        double r100021 = y;
        double r100022 = sinh(r100021);
        double r100023 = r100021 / r100022;
        double r100024 = r100020 / r100023;
        return r100024;
}

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)))