Average Error: 0.0 → 0.0
Time: 2.0s
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 r8288 = 1.0;
        double r8289 = x;
        double r8290 = r8288 / r8289;
        double r8291 = r8290 - r8288;
        double r8292 = log(r8291);
        double r8293 = -r8292;
        return r8293;
}
↓
double f(double x) {
        double r8294 = 1.0;
        double r8295 = x;
        double r8296 = r8294 / r8295;
        double r8297 = r8296 - r8294;
        double r8298 = log(r8297);
        double r8299 = -r8298;
        return r8299;
}

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 2019362 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))