Average Error: 0.0 → 0.0
Time: 4.8s
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 r12697 = 1.0;
        double r12698 = x;
        double r12699 = r12697 / r12698;
        double r12700 = r12699 - r12697;
        double r12701 = log(r12700);
        double r12702 = -r12701;
        return r12702;
}
↓
double f(double x) {
        double r12703 = 1.0;
        double r12704 = x;
        double r12705 = r12703 / r12704;
        double r12706 = r12705 - r12703;
        double r12707 = log(r12706);
        double r12708 = -r12707;
        return r12708;
}

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 2020042 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))