Average Error: 0.0 → 0.0
Time: 1.3s
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 r2536 = 1.0;
        double r2537 = x;
        double r2538 = r2536 / r2537;
        double r2539 = r2538 - r2536;
        double r2540 = log(r2539);
        double r2541 = -r2540;
        return r2541;
}
↓
double f(double x) {
        double r2542 = 1.0;
        double r2543 = x;
        double r2544 = r2542 / r2543;
        double r2545 = r2544 - r2542;
        double r2546 = log(r2545);
        double r2547 = -r2546;
        return r2547;
}

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 2020002 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))