Average Error: 0.0 → 0.0
Time: 3.0s
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 r41039 = x;
        double r41040 = 1.0;
        double r41041 = r41039 + r41040;
        double r41042 = r41040 - r41039;
        double r41043 = r41041 / r41042;
        return r41043;
}
↓
double f(double x) {
        double r41044 = x;
        double r41045 = 1.0;
        double r41046 = r41044 + r41045;
        double r41047 = r41045 - r41044;
        double r41048 = r41046 / r41047;
        return r41048;
}

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 2020081 +o rules:numerics
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1) (- 1 x)))