Average Error: 0.1 → 0.1
Time: 20.6s
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 r23727113 = x;
        double r23727114 = cosh(r23727113);
        double r23727115 = y;
        double r23727116 = sin(r23727115);
        double r23727117 = r23727116 / r23727115;
        double r23727118 = r23727114 * r23727117;
        return r23727118;
}
↓
double f(double x, double y) {
        double r23727119 = x;
        double r23727120 = cosh(r23727119);
        double r23727121 = y;
        double r23727122 = sin(r23727121);
        double r23727123 = r23727122 / r23727121;
        double r23727124 = r23727120 * r23727123;
        return r23727124;
}

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 2019174 
(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)))