Average Error: 0.0 → 0.0
Time: 40.0s
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 r5799234 = x;
        double r5799235 = sin(r5799234);
        double r5799236 = y;
        double r5799237 = sinh(r5799236);
        double r5799238 = r5799237 / r5799236;
        double r5799239 = r5799235 * r5799238;
        return r5799239;
}

double f(double x, double y) {
        double r5799240 = x;
        double r5799241 = sin(r5799240);
        double r5799242 = y;
        double r5799243 = sinh(r5799242);
        double r5799244 = r5799243 / r5799242;
        double r5799245 = r5799241 * r5799244;
        return r5799245;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))