Average Error: 0.0 → 0.0
Time: 3.4s
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 r14699 = 1.0;
        double r14700 = x;
        double r14701 = r14699 / r14700;
        double r14702 = r14701 - r14699;
        double r14703 = log(r14702);
        double r14704 = -r14703;
        return r14704;
}
↓
double f(double x) {
        double r14705 = 1.0;
        double r14706 = x;
        double r14707 = r14705 / r14706;
        double r14708 = r14707 - r14705;
        double r14709 = log(r14708);
        double r14710 = -r14709;
        return r14710;
}

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 2019346 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))