Average Error: 0.0 → 0.0
Time: 20.2s
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 r90611 = x;
        double r90612 = cos(r90611);
        double r90613 = y;
        double r90614 = sinh(r90613);
        double r90615 = r90614 / r90613;
        double r90616 = r90612 * r90615;
        return r90616;
}
↓
double f(double x, double y) {
        double r90617 = x;
        double r90618 = cos(r90617);
        double r90619 = y;
        double r90620 = sinh(r90619);
        double r90621 = r90620 / r90619;
        double r90622 = r90618 * r90621;
        return r90622;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))