Average Error: 0.0 → 0.0
Time: 1.9s
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 r90 = 1.0;
        double r91 = x;
        double r92 = r90 / r91;
        double r93 = r92 - r90;
        double r94 = log(r93);
        double r95 = -r94;
        return r95;
}
↓
double f(double x) {
        double r96 = 1.0;
        double r97 = x;
        double r98 = r96 / r97;
        double r99 = r98 - r96;
        double r100 = log(r99);
        double r101 = -r100;
        return r101;
}

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 2020025 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))