Average Error: 0.2 → 0.2
Time: 16.7s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r390366 = x;
        double r390367 = cosh(r390366);
        double r390368 = y;
        double r390369 = sin(r390368);
        double r390370 = r390369 / r390368;
        double r390371 = r390367 * r390370;
        return r390371;
}
↓
double f(double x, double y) {
        double r390372 = x;
        double r390373 = cosh(r390372);
        double r390374 = y;
        double r390375 = sin(r390374);
        double r390376 = r390375 / r390374;
        double r390377 = r390373 * r390376;
        return r390377;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.2
Target0.2
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.2

    \[\cosh x \cdot \frac{\sin y}{y}\]

  2. Final simplification0.2

    \[\leadsto \cosh x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))