Average Error: 0.0 → 0.0
Time: 1.1s
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 r2629 = 1.0;
        double r2630 = x;
        double r2631 = r2629 / r2630;
        double r2632 = r2631 - r2629;
        double r2633 = log(r2632);
        double r2634 = -r2633;
        return r2634;
}
↓
double f(double x) {
        double r2635 = 1.0;
        double r2636 = x;
        double r2637 = r2635 / r2636;
        double r2638 = r2637 - r2635;
        double r2639 = log(r2638);
        double r2640 = -r2639;
        return r2640;
}

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 2020056 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))