Average Error: 0.0 → 0.0
Time: 1.2s
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 r2716 = 1.0;
        double r2717 = x;
        double r2718 = r2716 / r2717;
        double r2719 = r2718 - r2716;
        double r2720 = log(r2719);
        double r2721 = -r2720;
        return r2721;
}
↓
double f(double x) {
        double r2722 = 1.0;
        double r2723 = x;
        double r2724 = r2722 / r2723;
        double r2725 = r2724 - r2722;
        double r2726 = log(r2725);
        double r2727 = -r2726;
        return r2727;
}

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 2019352 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))