Average Error: 0.0 → 0.0
Time: 12.0s
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 r77869 = x;
        double r77870 = cos(r77869);
        double r77871 = y;
        double r77872 = sinh(r77871);
        double r77873 = r77872 / r77871;
        double r77874 = r77870 * r77873;
        return r77874;
}
↓
double f(double x, double y) {
        double r77875 = x;
        double r77876 = cos(r77875);
        double r77877 = y;
        double r77878 = sinh(r77877);
        double r77879 = r77878 / r77877;
        double r77880 = r77876 * r77879;
        return r77880;
}

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 2019199 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))