Average Error: 0.0 → 0.0
Time: 2.3s
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 r5931 = 1.0;
        double r5932 = x;
        double r5933 = r5931 / r5932;
        double r5934 = r5933 - r5931;
        double r5935 = log(r5934);
        double r5936 = -r5935;
        return r5936;
}
↓
double f(double x) {
        double r5937 = 1.0;
        double r5938 = x;
        double r5939 = r5937 / r5938;
        double r5940 = r5939 - r5937;
        double r5941 = log(r5940);
        double r5942 = -r5941;
        return r5942;
}

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 2020001 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))