Average Error: 0.0 → 0.1
Time: 1.9s
Precision: 64
\[\frac{x + 1}{1 - x}\]
↓
\[\left(x + 1\right) \cdot \frac{1}{1 - x}\]
\frac{x + 1}{1 - x}
↓
\left(x + 1\right) \cdot \frac{1}{1 - x}
double code(double x) {
	return ((double) (((double) (x + 1.0)) / ((double) (1.0 - x))));
}
↓
double code(double x) {
	return ((double) (((double) (x + 1.0)) * ((double) (1.0 / ((double) (1.0 - x))))));
}

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. Using strategy rm

  3. Applied div-inv0.1

    \[\leadsto \color{blue}{\left(x + 1\right) \cdot \frac{1}{1 - x}}\]

  4. Final simplification0.1

    \[\leadsto \left(x + 1\right) \cdot \frac{1}{1 - x}\]

Reproduce

herbie shell --seed 2020126 
(FPCore (x)
  :name "Prelude:atanh from fay-base-0.20.0.1"
  :precision binary64
  (/ (+ x 1.0) (- 1.0 x)))