Average Error: 0.0 → 0.0
Time: 678.0ms
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 r18665 = x;
        double r18666 = 1.0;
        double r18667 = r18665 + r18666;
        double r18668 = r18666 - r18665;
        double r18669 = r18667 / r18668;
        return r18669;
}
↓
double f(double x) {
        double r18670 = 1.0;
        double r18671 = x;
        double r18672 = r18670 + r18671;
        double r18673 = r18670 - r18671;
        double r18674 = r18672 / r18673;
        return r18674;
}

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 2019169 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))