Average Error: 0.0 → 0.0
Time: 36.7s
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 r102011 = x;
        double r102012 = sin(r102011);
        double r102013 = y;
        double r102014 = sinh(r102013);
        double r102015 = r102014 / r102013;
        double r102016 = r102012 * r102015;
        return r102016;
}
↓
double f(double x, double y) {
        double r102017 = y;
        double r102018 = sinh(r102017);
        double r102019 = r102018 / r102017;
        double r102020 = x;
        double r102021 = sin(r102020);
        double r102022 = r102019 * r102021;
        return r102022;
}

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 *-un-lft-identity0.0

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

  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)))