Average Error: 0.0 → 0.0
Time: 31.2s
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 r214758 = x;
        double r214759 = cos(r214758);
        double r214760 = y;
        double r214761 = sinh(r214760);
        double r214762 = r214761 / r214760;
        double r214763 = r214759 * r214762;
        return r214763;
}

double f(double x, double y) {
        double r214764 = x;
        double r214765 = cos(r214764);
        double r214766 = y;
        double r214767 = sinh(r214766);
        double r214768 = r214767 / r214766;
        double r214769 = r214765 * r214768;
        return r214769;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))