Average Error: 0.0 → 0.0
Time: 2.9s
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 r40749 = x;
        double r40750 = 1.0;
        double r40751 = r40749 + r40750;
        double r40752 = r40750 - r40749;
        double r40753 = r40751 / r40752;
        return r40753;
}
↓
double f(double x) {
        double r40754 = x;
        double r40755 = 1.0;
        double r40756 = r40754 + r40755;
        double r40757 = r40755 - r40754;
        double r40758 = r40756 / r40757;
        return r40758;
}

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 2020057 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))