Average Error: 0.0 → 0.0
Time: 4.5s
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 r29887 = x;
        double r29888 = 1.0;
        double r29889 = r29887 + r29888;
        double r29890 = r29888 - r29887;
        double r29891 = r29889 / r29890;
        return r29891;
}
↓
double f(double x) {
        double r29892 = 1.0;
        double r29893 = x;
        double r29894 = r29892 + r29893;
        double r29895 = r29892 - r29893;
        double r29896 = r29894 / r29895;
        return r29896;
}

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

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  (/ (+ x 1.0) (- 1.0 x)))