Average Error: 0.0 → 0.0
Time: 29.5s
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 r160155 = x;
        double r160156 = cos(r160155);
        double r160157 = y;
        double r160158 = sinh(r160157);
        double r160159 = r160158 / r160157;
        double r160160 = r160156 * r160159;
        return r160160;
}
↓
double f(double x, double y) {
        double r160161 = x;
        double r160162 = cos(r160161);
        double r160163 = y;
        double r160164 = sinh(r160163);
        double r160165 = r160163 / r160164;
        double r160166 = r160162 / r160165;
        return r160166;
}

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)))