Average Error: 0.0 → 0.0
Time: 1.1s
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 r3241 = 1.0;
        double r3242 = x;
        double r3243 = r3241 / r3242;
        double r3244 = r3243 - r3241;
        double r3245 = log(r3244);
        double r3246 = -r3245;
        return r3246;
}
↓
double f(double x) {
        double r3247 = 1.0;
        double r3248 = x;
        double r3249 = r3247 / r3248;
        double r3250 = r3249 - r3247;
        double r3251 = log(r3250);
        double r3252 = -r3251;
        return r3252;
}

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 2020064 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))