Average Error: 0.0 → 0.0
Time: 19.9s
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 r86941 = x;
        double r86942 = sin(r86941);
        double r86943 = y;
        double r86944 = sinh(r86943);
        double r86945 = r86944 / r86943;
        double r86946 = r86942 * r86945;
        return r86946;
}

double f(double x, double y) {
        double r86947 = x;
        double r86948 = sin(r86947);
        double r86949 = y;
        double r86950 = sinh(r86949);
        double r86951 = r86950 / r86949;
        double r86952 = r86948 * r86951;
        return r86952;
}

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 2019199 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))