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 r2167 = 1.0;
        double r2168 = x;
        double r2169 = r2167 / r2168;
        double r2170 = r2169 - r2167;
        double r2171 = log(r2170);
        double r2172 = -r2171;
        return r2172;
}
↓
double f(double x) {
        double r2173 = 1.0;
        double r2174 = x;
        double r2175 = r2173 / r2174;
        double r2176 = r2175 - r2173;
        double r2177 = log(r2176);
        double r2178 = -r2177;
        return r2178;
}

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 2020034 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))