Average Error: 0.0 → 0.0
Time: 3.0s
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 r174268 = x;
        double r174269 = cos(r174268);
        double r174270 = y;
        double r174271 = sinh(r174270);
        double r174272 = r174271 / r174270;
        double r174273 = r174269 * r174272;
        return r174273;
}
↓
double f(double x, double y) {
        double r174274 = x;
        double r174275 = cos(r174274);
        double r174276 = y;
        double r174277 = sinh(r174276);
        double r174278 = r174277 / r174276;
        double r174279 = r174275 * r174278;
        return r174279;
}

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 2020062 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))