Average Error: 0.0 → 0.0
Time: 15.0s
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 r729710 = 1.0;
        double r729711 = x;
        double r729712 = r729710 / r729711;
        double r729713 = r729712 - r729710;
        double r729714 = log(r729713);
        double r729715 = -r729714;
        return r729715;
}
↓
double f(double x) {
        double r729716 = 1.0;
        double r729717 = x;
        double r729718 = r729716 / r729717;
        double r729719 = r729718 - r729716;
        double r729720 = log(r729719);
        double r729721 = -r729720;
        return r729721;
}

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 2019170 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))