Average Error: 0.0 → 0.0
Time: 5.7s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sin x}{\frac{y}{\sinh y}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\frac{\sin x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r145696 = x;
        double r145697 = sin(r145696);
        double r145698 = y;
        double r145699 = sinh(r145698);
        double r145700 = r145699 / r145698;
        double r145701 = r145697 * r145700;
        return r145701;
}
↓
double f(double x, double y) {
        double r145702 = x;
        double r145703 = sin(r145702);
        double r145704 = y;
        double r145705 = sinh(r145704);
        double r145706 = r145704 / r145705;
        double r145707 = r145703 / r145706;
        return r145707;
}

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

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \sin x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]
  4. Using strategy rm

  5. Applied un-div-inv0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020081 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))