Average Error: 0.0 → 0.0
Time: 4.9s
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 r116282 = x;
        double r116283 = cos(r116282);
        double r116284 = y;
        double r116285 = sinh(r116284);
        double r116286 = r116285 / r116284;
        double r116287 = r116283 * r116286;
        return r116287;
}

double f(double x, double y) {
        double r116288 = x;
        double r116289 = cos(r116288);
        double r116290 = y;
        double r116291 = sinh(r116290);
        double r116292 = r116291 / r116290;
        double r116293 = r116289 * r116292;
        return r116293;
}

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 2020002 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))