Average Error: 0.0 → 0.0
Time: 1.5s
Precision: binary64
\[-\log \left(\frac{1}{x} - 1\right) \]
↓
\[\log \left(\frac{x}{1 - x}\right) \]
-\log \left(\frac{1}{x} - 1\right)
↓
\log \left(\frac{x}{1 - x}\right)

(FPCore (x) :precision binary64 (- (log (- (/ 1.0 x) 1.0))))
↓
(FPCore (x) :precision binary64 (log (/ x (- 1.0 x))))
double code(double x) {
	return -log(((1.0 / x) - 1.0));
}
↓
double code(double x) {
	return log((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

    \[-\log \left(\frac{1}{x} - 1\right) \]

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2022129 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1.0 x) 1.0))))