Average Error: 0.0 → 0.0
Time: 1.5s
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 r21907 = x;
        double r21908 = 1.0;
        double r21909 = r21907 + r21908;
        double r21910 = r21908 - r21907;
        double r21911 = r21909 / r21910;
        return r21911;
}
↓
double f(double x) {
        double r21912 = x;
        double r21913 = 1.0;
        double r21914 = r21912 + r21913;
        double r21915 = r21913 - r21912;
        double r21916 = r21914 / r21915;
        return r21916;
}

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 2019354 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))