Average Error: 0.0 → 0.0
Time: 6.0s
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 r10882 = 1.0;
        double r10883 = x;
        double r10884 = r10882 / r10883;
        double r10885 = r10884 - r10882;
        double r10886 = log(r10885);
        double r10887 = -r10886;
        return r10887;
}
↓
double f(double x) {
        double r10888 = 1.0;
        double r10889 = x;
        double r10890 = r10888 / r10889;
        double r10891 = r10890 - r10888;
        double r10892 = log(r10891);
        double r10893 = -r10892;
        return r10893;
}

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 2019350 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))