Average Error: 0.0 → 0.0
Time: 24.2s
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 r6427169 = x;
        double r6427170 = cos(r6427169);
        double r6427171 = y;
        double r6427172 = sinh(r6427171);
        double r6427173 = r6427172 / r6427171;
        double r6427174 = r6427170 * r6427173;
        return r6427174;
}

double f(double x, double y) {
        double r6427175 = x;
        double r6427176 = cos(r6427175);
        double r6427177 = y;
        double r6427178 = sinh(r6427177);
        double r6427179 = r6427178 / r6427177;
        double r6427180 = r6427176 * r6427179;
        return r6427180;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))