Average Error: 0.0 → 0.0
Time: 7.9s
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 r86716 = x;
        double r86717 = sin(r86716);
        double r86718 = y;
        double r86719 = sinh(r86718);
        double r86720 = r86719 / r86718;
        double r86721 = r86717 * r86720;
        return r86721;
}
↓
double f(double x, double y) {
        double r86722 = x;
        double r86723 = sin(r86722);
        double r86724 = y;
        double r86725 = sinh(r86724);
        double r86726 = r86724 / r86725;
        double r86727 = r86723 / r86726;
        return r86727;
}

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 associate-*r/13.5

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))