Average Error: 0.0 → 0.0
Time: 6.6s
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 r27565 = x;
        double r27566 = 1.0;
        double r27567 = r27565 + r27566;
        double r27568 = r27566 - r27565;
        double r27569 = r27567 / r27568;
        return r27569;
}
↓
double f(double x) {
        double r27570 = x;
        double r27571 = 1.0;
        double r27572 = r27570 + r27571;
        double r27573 = r27571 - r27570;
        double r27574 = r27572 / r27573;
        return r27574;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

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 2019198 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))