Average Error: 0.0 → 0.0
Time: 9.3s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{x + 1}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{x + 1}{1 - x}
double f(double x) {
        double r57802 = x;
        double r57803 = 1.0;
        double r57804 = r57802 + r57803;
        double r57805 = r57803 - r57802;
        double r57806 = r57804 / r57805;
        return r57806;
}
↓
double f(double x) {
        double r57807 = x;
        double r57808 = 1.0;
        double r57809 = r57807 + r57808;
        double r57810 = r57808 - r57807;
        double r57811 = r57809 / r57810;
        return r57811;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + 1}{1 - x}\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.1

    \[\leadsto \color{blue}{\left(\sqrt[3]{\frac{x + 1}{1 - x}} \cdot \sqrt[3]{\frac{x + 1}{1 - x}}\right) \cdot \sqrt[3]{\frac{x + 1}{1 - x}}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x + 1}{1 - x}\]

Reproduce

herbie shell --seed 2019303 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))