Average Error: 0.0 → 0.0
Time: 10.2s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
\[\sin x \cdot \frac{\sinh y}{y}\]
\sin x \cdot \frac{\sinh y}{y}
\sin x \cdot \frac{\sinh y}{y}
double f(double x, double y) {
        double r91223 = x;
        double r91224 = sin(r91223);
        double r91225 = y;
        double r91226 = sinh(r91225);
        double r91227 = r91226 / r91225;
        double r91228 = r91224 * r91227;
        return r91228;
}

double f(double x, double y) {
        double r91229 = x;
        double r91230 = sin(r91229);
        double r91231 = y;
        double r91232 = sinh(r91231);
        double r91233 = r91232 / r91231;
        double r91234 = r91230 * r91233;
        return r91234;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))