Average Error: 0.0 → 0.0
Time: 296.0ms
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 r21916 = x;
        double r21917 = 1.0;
        double r21918 = r21916 + r21917;
        double r21919 = r21917 - r21916;
        double r21920 = r21918 / r21919;
        return r21920;
}
↓
double f(double x) {
        double r21921 = x;
        double r21922 = 1.0;
        double r21923 = r21921 + r21922;
        double r21924 = r21922 - r21921;
        double r21925 = r21923 / r21924;
        return r21925;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020020 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))