Average Error: 0.0 → 0.0
Time: 11.8s
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 r93422 = 1.0;
        double r93423 = x;
        double r93424 = r93422 / r93423;
        double r93425 = r93424 - r93422;
        double r93426 = log(r93425);
        double r93427 = -r93426;
        return r93427;
}
↓
double f(double x) {
        double r93428 = 1.0;
        double r93429 = x;
        double r93430 = r93428 / r93429;
        double r93431 = r93430 - r93428;
        double r93432 = log(r93431);
        double r93433 = -r93432;
        return r93433;
}

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 2020036 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))