Average Error: 0.0 → 0.0
Time: 8.7s
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 r84779 = x;
        double r84780 = cos(r84779);
        double r84781 = y;
        double r84782 = sinh(r84781);
        double r84783 = r84782 / r84781;
        double r84784 = r84780 * r84783;
        return r84784;
}
↓
double f(double x, double y) {
        double r84785 = x;
        double r84786 = cos(r84785);
        double r84787 = y;
        double r84788 = sinh(r84787);
        double r84789 = r84788 / r84787;
        double r84790 = r84786 * r84789;
        return r84790;
}

Error

Bits error versus x

Bits error versus y

Try it out

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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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))