Average Error: 0.0 → 0.0
Time: 2.5s
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 r7158 = 1.0;
        double r7159 = x;
        double r7160 = r7158 / r7159;
        double r7161 = r7160 - r7158;
        double r7162 = log(r7161);
        double r7163 = -r7162;
        return r7163;
}
↓
double f(double x) {
        double r7164 = 1.0;
        double r7165 = x;
        double r7166 = r7164 / r7165;
        double r7167 = r7166 - r7164;
        double r7168 = log(r7167);
        double r7169 = -r7168;
        return r7169;
}

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 2020083 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))