Average Error: 0.1 → 0.1
Time: 4.9s
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 r515903 = x;
        double r515904 = cosh(r515903);
        double r515905 = y;
        double r515906 = sin(r515905);
        double r515907 = r515906 / r515905;
        double r515908 = r515904 * r515907;
        return r515908;
}
↓
double f(double x, double y) {
        double r515909 = x;
        double r515910 = cosh(r515909);
        double r515911 = y;
        double r515912 = sin(r515911);
        double r515913 = r515912 / r515911;
        double r515914 = r515910 * r515913;
        return r515914;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019356 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

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

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