Average Error: 0.0 → 0.0
Time: 7.3s
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 r10181 = 1.0;
        double r10182 = x;
        double r10183 = r10181 / r10182;
        double r10184 = r10183 - r10181;
        double r10185 = log(r10184);
        double r10186 = -r10185;
        return r10186;
}
↓
double f(double x) {
        double r10187 = 1.0;
        double r10188 = x;
        double r10189 = r10187 / r10188;
        double r10190 = r10189 - r10187;
        double r10191 = log(r10190);
        double r10192 = -r10191;
        return r10192;
}

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 2019208 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))