Average Error: 0.0 → 0.0
Time: 1.5s
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 r2591 = 1.0;
        double r2592 = x;
        double r2593 = r2591 / r2592;
        double r2594 = r2593 - r2591;
        double r2595 = log(r2594);
        double r2596 = -r2595;
        return r2596;
}
↓
double f(double x) {
        double r2597 = 1.0;
        double r2598 = x;
        double r2599 = r2597 / r2598;
        double r2600 = r2599 - r2597;
        double r2601 = log(r2600);
        double r2602 = -r2601;
        return r2602;
}

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 2019354 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))