Average Error: 0.0 → 0.0
Time: 9.1s
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 r102729 = 1.0;
        double r102730 = x;
        double r102731 = r102729 / r102730;
        double r102732 = r102731 - r102729;
        double r102733 = log(r102732);
        double r102734 = -r102733;
        return r102734;
}
↓
double f(double x) {
        double r102735 = 1.0;
        double r102736 = x;
        double r102737 = r102735 / r102736;
        double r102738 = r102737 - r102735;
        double r102739 = log(r102738);
        double r102740 = -r102739;
        return r102740;
}

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 2019128 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))