Average Error: 0.0 → 0.0
Time: 984.0ms
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 r38453 = x;
        double r38454 = 1.0;
        double r38455 = r38453 + r38454;
        double r38456 = r38454 - r38453;
        double r38457 = r38455 / r38456;
        return r38457;
}
↓
double f(double x) {
        double r38458 = x;
        double r38459 = 1.0;
        double r38460 = r38458 + r38459;
        double r38461 = r38459 - r38458;
        double r38462 = r38460 / r38461;
        return r38462;
}

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 2020034 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))