Average Error: 0.0 → 0.0
Time: 3.8s
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 r108135 = x;
        double r108136 = cos(r108135);
        double r108137 = y;
        double r108138 = sinh(r108137);
        double r108139 = r108138 / r108137;
        double r108140 = r108136 * r108139;
        return r108140;
}

double f(double x, double y) {
        double r108141 = x;
        double r108142 = cos(r108141);
        double r108143 = y;
        double r108144 = sinh(r108143);
        double r108145 = r108144 / r108143;
        double r108146 = r108142 * r108145;
        return r108146;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))