Average Error: 0.0 → 0.0
Time: 2.9s
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 r11679 = 1.0;
        double r11680 = x;
        double r11681 = r11679 / r11680;
        double r11682 = r11681 - r11679;
        double r11683 = log(r11682);
        double r11684 = -r11683;
        return r11684;
}
↓
double f(double x) {
        double r11685 = 1.0;
        double r11686 = x;
        double r11687 = r11685 / r11686;
        double r11688 = r11687 - r11685;
        double r11689 = log(r11688);
        double r11690 = -r11689;
        return r11690;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))