Average Error: 0.0 → 0.0
Time: 2.7s
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 r18227 = 1.0;
        double r18228 = x;
        double r18229 = r18227 / r18228;
        double r18230 = r18229 - r18227;
        double r18231 = log(r18230);
        double r18232 = -r18231;
        return r18232;
}
↓
double f(double x) {
        double r18233 = 1.0;
        double r18234 = x;
        double r18235 = r18233 / r18234;
        double r18236 = r18235 - r18233;
        double r18237 = log(r18236);
        double r18238 = -r18237;
        return r18238;
}

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 2020039 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))