Average Error: 0.0 → 0.0
Time: 2.6s
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 r5356 = 1.0;
        double r5357 = x;
        double r5358 = r5356 / r5357;
        double r5359 = r5358 - r5356;
        double r5360 = log(r5359);
        double r5361 = -r5360;
        return r5361;
}
↓
double f(double x) {
        double r5362 = 1.0;
        double r5363 = x;
        double r5364 = r5362 / r5363;
        double r5365 = r5364 - r5362;
        double r5366 = log(r5365);
        double r5367 = -r5366;
        return r5367;
}

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 2020081 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))