Average Error: 0.0 → 0.0
Time: 12.3s
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 r34424 = x;
        double r34425 = 1.0;
        double r34426 = r34424 + r34425;
        double r34427 = r34425 - r34424;
        double r34428 = r34426 / r34427;
        return r34428;
}
↓
double f(double x) {
        double r34429 = x;
        double r34430 = 1.0;
        double r34431 = r34429 + r34430;
        double r34432 = r34430 - r34429;
        double r34433 = r34431 / r34432;
        return r34433;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019325 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))