Average Error: 0.0 → 0.0
Time: 1.0s
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 r34673 = x;
        double r34674 = 1.0;
        double r34675 = r34673 + r34674;
        double r34676 = r34674 - r34673;
        double r34677 = r34675 / r34676;
        return r34677;
}
↓
double f(double x) {
        double r34678 = x;
        double r34679 = 1.0;
        double r34680 = r34678 + r34679;
        double r34681 = r34679 - r34678;
        double r34682 = r34680 / r34681;
        return r34682;
}

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))