Average Error: 0.0 → 0.0
Time: 33.1s
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 r169484 = x;
        double r169485 = sin(r169484);
        double r169486 = y;
        double r169487 = sinh(r169486);
        double r169488 = r169487 / r169486;
        double r169489 = r169485 * r169488;
        return r169489;
}
↓
double f(double x, double y) {
        double r169490 = x;
        double r169491 = sin(r169490);
        double r169492 = y;
        double r169493 = sinh(r169492);
        double r169494 = r169492 / r169493;
        double r169495 = r169491 / r169494;
        return r169495;
}

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/14.4

    \[\leadsto \color{blue}{\frac{\sin x \cdot \sinh y}{y}}\]
  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 2019303 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))