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 r146108 = x;
        double r146109 = sin(r146108);
        double r146110 = y;
        double r146111 = sinh(r146110);
        double r146112 = r146111 / r146110;
        double r146113 = r146109 * r146112;
        return r146113;
}

double f(double x, double y) {
        double r146114 = x;
        double r146115 = sin(r146114);
        double r146116 = y;
        double r146117 = sinh(r146116);
        double r146118 = r146117 / r146116;
        double r146119 = r146115 * r146118;
        return r146119;
}

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 2020035 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))