Average Error: 0.0 → 0.0
Time: 2.3s
Precision: binary64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
-\log \left(\frac{1}{x} - 1\right)
↓
-\log \left(\frac{1}{x} - 1\right)
double code(double x) {
	return ((double) -(((double) log(((double) ((1.0 / x) - 1.0))))));
}
↓
double code(double x) {
	return ((double) -(((double) log(((double) ((1.0 / x) - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program Error: 0.0 bits

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

  2. Final simplificationError: 0.0 bits

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

Reproduce

herbie shell --seed 2020200 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1.0 x) 1.0))))