Average Error: 0.0 → 0.0
Time: 3.9s
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 r127337 = x;
        double r127338 = sin(r127337);
        double r127339 = y;
        double r127340 = sinh(r127339);
        double r127341 = r127340 / r127339;
        double r127342 = r127338 * r127341;
        return r127342;
}

double f(double x, double y) {
        double r127343 = x;
        double r127344 = sin(r127343);
        double r127345 = y;
        double r127346 = sinh(r127345);
        double r127347 = r127346 / r127345;
        double r127348 = r127344 * r127347;
        return r127348;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

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 2020056 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))