Average Error: 0.0 → 0.0
Time: 4.3s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
\[\cos x \cdot \frac{\sinh y}{y}\]
\cos x \cdot \frac{\sinh y}{y}
\cos x \cdot \frac{\sinh y}{y}
double f(double x, double y) {
        double r110810 = x;
        double r110811 = cos(r110810);
        double r110812 = y;
        double r110813 = sinh(r110812);
        double r110814 = r110813 / r110812;
        double r110815 = r110811 * r110814;
        return r110815;
}

double f(double x, double y) {
        double r110816 = x;
        double r110817 = cos(r110816);
        double r110818 = y;
        double r110819 = sinh(r110818);
        double r110820 = r110819 / r110818;
        double r110821 = r110817 * r110820;
        return r110821;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

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

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

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))