Average Error: 0.0 → 0.0
Time: 966.0ms
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 r29940 = x;
        double r29941 = 1.0;
        double r29942 = r29940 + r29941;
        double r29943 = r29941 - r29940;
        double r29944 = r29942 / r29943;
        return r29944;
}
↓
double f(double x) {
        double r29945 = x;
        double r29946 = 1.0;
        double r29947 = r29945 + r29946;
        double r29948 = r29946 - r29945;
        double r29949 = r29947 / r29948;
        return r29949;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))