Average Error: 0.0 → 0.0
Time: 5.8s
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 r98718 = x;
        double r98719 = cos(r98718);
        double r98720 = y;
        double r98721 = sinh(r98720);
        double r98722 = r98721 / r98720;
        double r98723 = r98719 * r98722;
        return r98723;
}
↓
double f(double x, double y) {
        double r98724 = x;
        double r98725 = cos(r98724);
        double r98726 = y;
        double r98727 = sinh(r98726);
        double r98728 = r98727 / r98726;
        double r98729 = r98725 * r98728;
        return r98729;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))