Average Error: 0.0 → 0.0
Time: 14.6s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
\[\sin x \cdot \frac{\sinh y}{y}\]
\sin x \cdot \frac{\sinh y}{y}
\sin x \cdot \frac{\sinh y}{y}
double f(double x, double y) {
        double r115860 = x;
        double r115861 = sin(r115860);
        double r115862 = y;
        double r115863 = sinh(r115862);
        double r115864 = r115863 / r115862;
        double r115865 = r115861 * r115864;
        return r115865;
}

double f(double x, double y) {
        double r115866 = x;
        double r115867 = sin(r115866);
        double r115868 = y;
        double r115869 = sinh(r115868);
        double r115870 = r115869 / r115868;
        double r115871 = r115867 * r115870;
        return r115871;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019209 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))