Average Error: 0.0 → 0.0
Time: 8.4s
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 r1672603 = x;
        double r1672604 = 1.0;
        double r1672605 = r1672603 + r1672604;
        double r1672606 = r1672604 - r1672603;
        double r1672607 = r1672605 / r1672606;
        return r1672607;
}
↓
double f(double x) {
        double r1672608 = 1.0;
        double r1672609 = x;
        double r1672610 = r1672608 + r1672609;
        double r1672611 = r1672608 - r1672609;
        double r1672612 = r1672610 / r1672611;
        return r1672612;
}

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

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))