Average Error: 0.0 → 0.0
Time: 25.3s
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 r6933037 = x;
        double r6933038 = sin(r6933037);
        double r6933039 = y;
        double r6933040 = sinh(r6933039);
        double r6933041 = r6933040 / r6933039;
        double r6933042 = r6933038 * r6933041;
        return r6933042;
}
↓
double f(double x, double y) {
        double r6933043 = x;
        double r6933044 = sin(r6933043);
        double r6933045 = y;
        double r6933046 = sinh(r6933045);
        double r6933047 = r6933045 / r6933046;
        double r6933048 = r6933044 / r6933047;
        return r6933048;
}

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 2019158 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))