Average Error: 0.2 → 0.2
Time: 6.6s
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 r2761 = x;
        double r2762 = cosh(r2761);
        double r2763 = y;
        double r2764 = sin(r2763);
        double r2765 = r2764 / r2763;
        double r2766 = r2762 * r2765;
        return r2766;
}
↓
double f(double x, double y) {
        double r2767 = x;
        double r2768 = cosh(r2767);
        double r2769 = y;
        double r2770 = sin(r2769);
        double r2771 = r2770 / r2769;
        double r2772 = r2768 * r2771;
        return r2772;
}

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 2020025 
(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)))