Average Error: 0.0 → 0.0
Time: 996.0ms
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 r27804 = x;
        double r27805 = 1.0;
        double r27806 = r27804 + r27805;
        double r27807 = r27805 - r27804;
        double r27808 = r27806 / r27807;
        return r27808;
}
↓
double f(double x) {
        double r27809 = x;
        double r27810 = 1.0;
        double r27811 = r27809 + r27810;
        double r27812 = r27810 - r27809;
        double r27813 = r27811 / r27812;
        return r27813;
}

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)))