Average Error: 0.0 → 0.0
Time: 7.0s
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 r35589 = x;
        double r35590 = 1.0;
        double r35591 = r35589 + r35590;
        double r35592 = r35590 - r35589;
        double r35593 = r35591 / r35592;
        return r35593;
}
↓
double f(double x) {
        double r35594 = x;
        double r35595 = 1.0;
        double r35596 = r35594 + r35595;
        double r35597 = r35595 - r35594;
        double r35598 = r35596 / r35597;
        return r35598;
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))