Average Error: 0.0 → 0.0
Time: 3.0s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
-\log \left(\frac{1}{x} - 1\right)
↓
-\log \left(\frac{1}{x} - 1\right)
double f(double x) {
        double r8339 = 1.0;
        double r8340 = x;
        double r8341 = r8339 / r8340;
        double r8342 = r8341 - r8339;
        double r8343 = log(r8342);
        double r8344 = -r8343;
        return r8344;
}
↓
double f(double x) {
        double r8345 = 1.0;
        double r8346 = x;
        double r8347 = r8345 / r8346;
        double r8348 = r8347 - r8345;
        double r8349 = log(r8348);
        double r8350 = -r8349;
        return r8350;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019308 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))