Average Error: 0.0 → 0.0
Time: 7.3s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{1}{\frac{1 - x}{x + 1}}\]
\frac{x + 1}{1 - x}
↓
\frac{1}{\frac{1 - x}{x + 1}}
double f(double x) {
        double r40575 = x;
        double r40576 = 1.0;
        double r40577 = r40575 + r40576;
        double r40578 = r40576 - r40575;
        double r40579 = r40577 / r40578;
        return r40579;
}
↓
double f(double x) {
        double r40580 = 1.0;
        double r40581 = 1.0;
        double r40582 = x;
        double r40583 = r40581 - r40582;
        double r40584 = r40582 + r40581;
        double r40585 = r40583 / r40584;
        double r40586 = r40580 / r40585;
        return r40586;
}

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 clear-num0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))