Average Error: 0.0 → 0.0
Time: 22.8s
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 r76564 = x;
        double r76565 = cos(r76564);
        double r76566 = y;
        double r76567 = sinh(r76566);
        double r76568 = r76567 / r76566;
        double r76569 = r76565 * r76568;
        return r76569;
}
↓
double f(double x, double y) {
        double r76570 = x;
        double r76571 = cos(r76570);
        double r76572 = y;
        double r76573 = sinh(r76572);
        double r76574 = r76573 / r76572;
        double r76575 = r76571 * r76574;
        return r76575;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))