Average Error: 0.0 → 0.0
Time: 20.4s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\sin x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\sin x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r167349 = x;
        double r167350 = sin(r167349);
        double r167351 = y;
        double r167352 = sinh(r167351);
        double r167353 = r167352 / r167351;
        double r167354 = r167350 * r167353;
        return r167354;
}
↓
double f(double x, double y) {
        double r167355 = x;
        double r167356 = sin(r167355);
        double r167357 = 1.0;
        double r167358 = y;
        double r167359 = sinh(r167358);
        double r167360 = r167358 / r167359;
        double r167361 = r167357 / r167360;
        double r167362 = r167356 * r167361;
        return r167362;
}

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. Final simplification0.0

    \[\leadsto \sin x \cdot \frac{1}{\frac{y}{\sinh y}}\]

Reproduce

herbie shell --seed 2019198 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))