Average Error: 0.0 → 0.0
Time: 31.8s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sinh y}{y} \cdot \sin x\]
\sin x \cdot \frac{\sinh y}{y}
↓
\frac{\sinh y}{y} \cdot \sin x
double f(double x, double y) {
        double r106518 = x;
        double r106519 = sin(r106518);
        double r106520 = y;
        double r106521 = sinh(r106520);
        double r106522 = r106521 / r106520;
        double r106523 = r106519 * r106522;
        return r106523;
}
↓
double f(double x, double y) {
        double r106524 = y;
        double r106525 = sinh(r106524);
        double r106526 = r106525 / r106524;
        double r106527 = x;
        double r106528 = sin(r106527);
        double r106529 = r106526 * r106528;
        return r106529;
}

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 pow10.0

    \[\leadsto \sin x \cdot \frac{\color{blue}{{\left(\sinh y\right)}^{1}}}{y}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))