Average Error: 0.0 → 0.0
Time: 20.2s
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 r94169 = x;
        double r94170 = cos(r94169);
        double r94171 = y;
        double r94172 = sinh(r94171);
        double r94173 = r94172 / r94171;
        double r94174 = r94170 * r94173;
        return r94174;
}

double f(double x, double y) {
        double r94175 = x;
        double r94176 = cos(r94175);
        double r94177 = y;
        double r94178 = sinh(r94177);
        double r94179 = r94178 / r94177;
        double r94180 = r94176 * r94179;
        return r94180;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))