Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\frac{x}{1 - x}\]
↓
\[\frac{x}{1 - x}\]
\frac{x}{1 - x}
↓
\frac{x}{1 - x}
double code(double x) {
	return (x / (1.0 - x));
}
↓
double code(double x) {
	return (x / (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

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

  3. Applied div-inv0.1

    \[\leadsto \color{blue}{x \cdot \frac{1}{1 - x}}\]
  4. Using strategy rm

  5. Applied *-un-lft-identity0.1

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

  6. Applied associate-*l*0.1

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

  7. Simplified0.0

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

  8. Final simplification0.0

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

Reproduce

herbie shell --seed 2020053 
(FPCore (x)
  :name "Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1"
  :precision binary64
  (/ x (- 1 x)))