Average Error: 0.1 → 0.1
Time: 5.6s
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 r463796 = x;
        double r463797 = cosh(r463796);
        double r463798 = y;
        double r463799 = sin(r463798);
        double r463800 = r463799 / r463798;
        double r463801 = r463797 * r463800;
        return r463801;
}
↓
double f(double x, double y) {
        double r463802 = x;
        double r463803 = cosh(r463802);
        double r463804 = y;
        double r463805 = sin(r463804);
        double r463806 = r463805 / r463804;
        double r463807 = r463803 * r463806;
        return r463807;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2020039 +o rules:numerics
(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)))