Average Error: 0.0 → 0.0
Time: 11.8s
Precision: 64
\[\frac{x + 1.0}{1.0 - x}\]
↓
\[\frac{1.0 + x}{1.0 - x}\]
\frac{x + 1.0}{1.0 - x}
↓
\frac{1.0 + x}{1.0 - x}
double f(double x) {
        double r2136009 = x;
        double r2136010 = 1.0;
        double r2136011 = r2136009 + r2136010;
        double r2136012 = r2136010 - r2136009;
        double r2136013 = r2136011 / r2136012;
        return r2136013;
}
↓
double f(double x) {
        double r2136014 = 1.0;
        double r2136015 = x;
        double r2136016 = r2136014 + r2136015;
        double r2136017 = r2136014 - r2136015;
        double r2136018 = r2136016 / r2136017;
        return r2136018;
}

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

    \[\frac{x + 1.0}{1.0 - x}\]

  2. Final simplification0.0

    \[\leadsto \frac{1.0 + x}{1.0 - x}\]

Reproduce

herbie shell --seed 2019162 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))