Average Error: 0.0 → 0.0
Time: 32.7s
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 r132090 = x;
        double r132091 = sin(r132090);
        double r132092 = y;
        double r132093 = sinh(r132092);
        double r132094 = r132093 / r132092;
        double r132095 = r132091 * r132094;
        return r132095;
}

double f(double x, double y) {
        double r132096 = x;
        double r132097 = sin(r132096);
        double r132098 = y;
        double r132099 = sinh(r132098);
        double r132100 = r132099 / r132098;
        double r132101 = r132097 * r132100;
        return r132101;
}

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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))