Average Error: 0.0 → 0.0
Time: 3.2s
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 r146633 = x;
        double r146634 = sin(r146633);
        double r146635 = y;
        double r146636 = sinh(r146635);
        double r146637 = r146636 / r146635;
        double r146638 = r146634 * r146637;
        return r146638;
}

double f(double x, double y) {
        double r146639 = x;
        double r146640 = sin(r146639);
        double r146641 = y;
        double r146642 = sinh(r146641);
        double r146643 = r146642 / r146641;
        double r146644 = r146640 * r146643;
        return r146644;
}

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 2020057 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))