Average Error: 0.0 → 0.0
Time: 1.1m
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
\[\frac{\sinh y}{y} \cdot \cos x\]
\cos x \cdot \frac{\sinh y}{y}
\frac{\sinh y}{y} \cdot \cos x
double f(double x, double y) {
        double r6745078 = x;
        double r6745079 = cos(r6745078);
        double r6745080 = y;
        double r6745081 = sinh(r6745080);
        double r6745082 = r6745081 / r6745080;
        double r6745083 = r6745079 * r6745082;
        return r6745083;
}

double f(double x, double y) {
        double r6745084 = y;
        double r6745085 = sinh(r6745084);
        double r6745086 = r6745085 / r6745084;
        double r6745087 = x;
        double r6745088 = cos(r6745087);
        double r6745089 = r6745086 * r6745088;
        return r6745089;
}

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

    \[\leadsto \frac{\sinh y}{y} \cdot \cos x\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))