Average Error: 0.0 → 0.0
Time: 6.8s
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 r128720 = 1.0;
        double r128721 = x;
        double r128722 = r128720 / r128721;
        double r128723 = r128722 - r128720;
        double r128724 = log(r128723);
        double r128725 = -r128724;
        return r128725;
}
↓
double f(double x) {
        double r128726 = 1.0;
        double r128727 = x;
        double r128728 = r128726 / r128727;
        double r128729 = r128728 - r128726;
        double r128730 = log(r128729);
        double r128731 = -r128730;
        return r128731;
}

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 2019171 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))