Average Error: 0.0 → 0.0
Time: 4.8s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\frac{1 + x}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\frac{1 + x}{1 - x}
double f(double x) {
        double r973167 = x;
        double r973168 = 1.0;
        double r973169 = r973167 + r973168;
        double r973170 = r973168 - r973167;
        double r973171 = r973169 / r973170;
        return r973171;
}
↓
double f(double x) {
        double r973172 = 1.0;
        double r973173 = x;
        double r973174 = r973172 + r973173;
        double r973175 = r973172 - r973173;
        double r973176 = r973174 / r973175;
        return r973176;
}

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

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

Reproduce

herbie shell --seed 2019179 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))