Average Error: 0.0 → 0.0
Time: 6.4s
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 r104706 = x;
        double r104707 = cos(r104706);
        double r104708 = y;
        double r104709 = sinh(r104708);
        double r104710 = r104709 / r104708;
        double r104711 = r104707 * r104710;
        return r104711;
}

double f(double x, double y) {
        double r104712 = x;
        double r104713 = cos(r104712);
        double r104714 = y;
        double r104715 = sinh(r104714);
        double r104716 = r104715 / r104714;
        double r104717 = r104713 * r104716;
        return r104717;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))