Average Error: 0.0 → 0.0
Time: 6.7s
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 r128718 = 1.0;
        double r128719 = x;
        double r128720 = r128718 / r128719;
        double r128721 = r128720 - r128718;
        double r128722 = log(r128721);
        double r128723 = -r128722;
        return r128723;
}
↓
double f(double x) {
        double r128724 = 1.0;
        double r128725 = x;
        double r128726 = r128724 / r128725;
        double r128727 = r128726 - r128724;
        double r128728 = log(r128727);
        double r128729 = -r128728;
        return r128729;
}

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 2019179 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))