Average Error: 0.0 → 0.0
Time: 15.3s
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 r18138 = 1.0;
        double r18139 = x;
        double r18140 = r18138 / r18139;
        double r18141 = r18140 - r18138;
        double r18142 = log(r18141);
        double r18143 = -r18142;
        return r18143;
}
↓
double f(double x) {
        double r18144 = 1.0;
        double r18145 = x;
        double r18146 = r18144 / r18145;
        double r18147 = r18146 - r18144;
        double r18148 = log(r18147);
        double r18149 = -r18148;
        return r18149;
}

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 2019325 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))