Average Error: 0.0 → 0.0
Time: 26.6s
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 r99519 = x;
        double r99520 = sin(r99519);
        double r99521 = y;
        double r99522 = sinh(r99521);
        double r99523 = r99522 / r99521;
        double r99524 = r99520 * r99523;
        return r99524;
}

double f(double x, double y) {
        double r99525 = x;
        double r99526 = sin(r99525);
        double r99527 = y;
        double r99528 = sinh(r99527);
        double r99529 = r99528 / r99527;
        double r99530 = r99526 * r99529;
        return r99530;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))