Average Error: 0.0 → 0.0
Time: 11.5s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
double f(double x) {
        double r580617 = 1.0;
        double r580618 = x;
        double r580619 = r580617 / r580618;
        double r580620 = r580619 - r580617;
        double r580621 = log(r580620);
        double r580622 = -r580621;
        return r580622;
}
↓
double f(double x) {
        double r580623 = 1.0;
        double r580624 = x;
        double r580625 = r580623 / r580624;
        double r580626 = r580625 - r580623;
        double r580627 = log(r580626);
        double r580628 = -r580627;
        return r580628;
}


-\log \left(\frac{1}{x} - 1\right)
↓
-\log \left(\frac{1}{x} - 1\right)

Error

Bits error versus x

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 2019102 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))