Average Error: 0.0 → 0.0
Time: 3.6s
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 r110339 = x;
        double r110340 = cos(r110339);
        double r110341 = y;
        double r110342 = sinh(r110341);
        double r110343 = r110342 / r110341;
        double r110344 = r110340 * r110343;
        return r110344;
}

double f(double x, double y) {
        double r110345 = x;
        double r110346 = cos(r110345);
        double r110347 = y;
        double r110348 = sinh(r110347);
        double r110349 = r110348 / r110347;
        double r110350 = r110346 * r110349;
        return r110350;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))