Average Error: 0.0 → 0.0
Time: 12.7s
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 r102490 = x;
        double r102491 = cos(r102490);
        double r102492 = y;
        double r102493 = sinh(r102492);
        double r102494 = r102493 / r102492;
        double r102495 = r102491 * r102494;
        return r102495;
}
↓
double f(double x, double y) {
        double r102496 = x;
        double r102497 = cos(r102496);
        double r102498 = y;
        double r102499 = sinh(r102498);
        double r102500 = r102499 / r102498;
        double r102501 = r102497 * r102500;
        return r102501;
}

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 2019209 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))