Average Error: 0.3 → 0.3
Time: 9.0s
Precision: 64
\[x \ge 0.0 \land x \le 1\]
\[\frac{1}{\tan \left(\pi \cdot x\right)}\]
\[\frac{1}{\tan \left(\pi \cdot x\right)}\]
\frac{1}{\tan \left(\pi \cdot x\right)}
\frac{1}{\tan \left(\pi \cdot x\right)}
double f(double x) {
        double r2188810 = 1.0;
        double r2188811 = atan2(1.0, 0.0);
        double r2188812 = x;
        double r2188813 = r2188811 * r2188812;
        double r2188814 = tan(r2188813);
        double r2188815 = r2188810 / r2188814;
        return r2188815;
}

double f(double x) {
        double r2188816 = 1.0;
        double r2188817 = atan2(1.0, 0.0);
        double r2188818 = x;
        double r2188819 = r2188817 * r2188818;
        double r2188820 = tan(r2188819);
        double r2188821 = r2188816 / r2188820;
        return r2188821;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\frac{1}{\tan \left(\pi \cdot x\right)}\]
  2. Final simplification0.3

    \[\leadsto \frac{1}{\tan \left(\pi \cdot x\right)}\]

Reproduce

herbie shell --seed 1 
(FPCore (x)
  :name "1/tan(PI*x)"
  :precision binary64
  :pre (and (>= x 0.0) (<= x 1))
  (/ 1 (tan (* PI x))))