Average Error: 0.0 → 0.0
Time: 16.2s
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 r123163 = x;
        double r123164 = cos(r123163);
        double r123165 = y;
        double r123166 = sinh(r123165);
        double r123167 = r123166 / r123165;
        double r123168 = r123164 * r123167;
        return r123168;
}
↓
double f(double x, double y) {
        double r123169 = x;
        double r123170 = cos(r123169);
        double r123171 = y;
        double r123172 = sinh(r123171);
        double r123173 = r123172 / r123171;
        double r123174 = r123170 * r123173;
        return r123174;
}

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 2019351 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))