Average Error: 0.0 → 0.0
Time: 853.0ms
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 r33154 = x;
        double r33155 = 1.0;
        double r33156 = r33154 + r33155;
        double r33157 = r33155 - r33154;
        double r33158 = r33156 / r33157;
        return r33158;
}
↓
double f(double x) {
        double r33159 = x;
        double r33160 = 1.0;
        double r33161 = r33159 + r33160;
        double r33162 = r33160 - r33159;
        double r33163 = r33161 / r33162;
        return r33163;
}

Error

Bits error versus x

Try it out

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 2020064 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))