Average Error: 0.0 → 0.0
Time: 11.9s
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 r4031458 = x;
        double r4031459 = sin(r4031458);
        double r4031460 = y;
        double r4031461 = sinh(r4031460);
        double r4031462 = r4031461 / r4031460;
        double r4031463 = r4031459 * r4031462;
        return r4031463;
}

double f(double x, double y) {
        double r4031464 = x;
        double r4031465 = sin(r4031464);
        double r4031466 = y;
        double r4031467 = sinh(r4031466);
        double r4031468 = r4031467 / r4031466;
        double r4031469 = r4031465 * r4031468;
        return r4031469;
}

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