Average Error: 0.0 → 0.0
Time: 5.1s
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 r109258 = x;
        double r109259 = cos(r109258);
        double r109260 = y;
        double r109261 = sinh(r109260);
        double r109262 = r109261 / r109260;
        double r109263 = r109259 * r109262;
        return r109263;
}
↓
double f(double x, double y) {
        double r109264 = x;
        double r109265 = cos(r109264);
        double r109266 = y;
        double r109267 = sinh(r109266);
        double r109268 = r109267 / r109266;
        double r109269 = r109265 * r109268;
        return r109269;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))