Average Error: 0.0 → 0.1
Time: 1.5s
Precision: binary64
\[\frac{x}{1 - x}\]
↓
\[\frac{1}{\frac{1 - x}{x}}\]
\frac{x}{1 - x}
↓
\frac{1}{\frac{1 - x}{x}}
double code(double x) {
	return ((double) (x / ((double) (1.0 - x))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) (((double) (1.0 - x)) / 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

    \[\frac{x}{1 - x}\]
  2. Using strategy rm

  3. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{1 - x}{x}}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1}{\frac{1 - x}{x}}\]

Reproduce

herbie shell --seed 2020162 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1.0 x)))