Average Error: 0.1 → 0.1
Time: 5.5s
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 r579740 = x;
        double r579741 = cosh(r579740);
        double r579742 = y;
        double r579743 = sin(r579742);
        double r579744 = r579743 / r579742;
        double r579745 = r579741 * r579744;
        return r579745;
}
↓
double f(double x, double y) {
        double r579746 = x;
        double r579747 = cosh(r579746);
        double r579748 = y;
        double r579749 = sin(r579748);
        double r579750 = r579749 / r579748;
        double r579751 = r579747 * r579750;
        return r579751;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

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 2019354 
(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)))