Average Error: 0.0 → 0.0
Time: 3.1s
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 r35187 = x;
        double r35188 = 1.0;
        double r35189 = r35187 + r35188;
        double r35190 = r35188 - r35187;
        double r35191 = r35189 / r35190;
        return r35191;
}
↓
double f(double x) {
        double r35192 = x;
        double r35193 = 1.0;
        double r35194 = r35192 + r35193;
        double r35195 = r35193 - r35192;
        double r35196 = r35194 / r35195;
        return r35196;
}

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 2020047 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))