Average Error: 0.0 → 0.0
Time: 13.2s
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 r4892178 = x;
        double r4892179 = cos(r4892178);
        double r4892180 = y;
        double r4892181 = sinh(r4892180);
        double r4892182 = r4892181 / r4892180;
        double r4892183 = r4892179 * r4892182;
        return r4892183;
}

double f(double x, double y) {
        double r4892184 = x;
        double r4892185 = cos(r4892184);
        double r4892186 = y;
        double r4892187 = sinh(r4892186);
        double r4892188 = r4892187 / r4892186;
        double r4892189 = r4892185 * r4892188;
        return r4892189;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))