Average Error: 0.2 → 0.2
Time: 21.8s
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 r11897767 = x;
        double r11897768 = cosh(r11897767);
        double r11897769 = y;
        double r11897770 = sin(r11897769);
        double r11897771 = r11897770 / r11897769;
        double r11897772 = r11897768 * r11897771;
        return r11897772;
}
↓
double f(double x, double y) {
        double r11897773 = x;
        double r11897774 = cosh(r11897773);
        double r11897775 = y;
        double r11897776 = sin(r11897775);
        double r11897777 = r11897776 / r11897775;
        double r11897778 = r11897774 * r11897777;
        return r11897778;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2019163 +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)))