Average Error: 0.0 → 0.0
Time: 16.1s
Precision: 64
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log \left(\frac{1}{x} - 1\right)\]
double f(double x) {
        double r718631 = 1.0;
        double r718632 = x;
        double r718633 = r718631 / r718632;
        double r718634 = r718633 - r718631;
        double r718635 = log(r718634);
        double r718636 = -r718635;
        return r718636;
}
↓
double f(double x) {
        double r718637 = 1.0;
        double r718638 = x;
        double r718639 = r718637 / r718638;
        double r718640 = r718639 - r718637;
        double r718641 = log(r718640);
        double r718642 = -r718641;
        return r718642;
}


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