Average Error: 0.0 → 0.0
Time: 10.7s
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 r205066 = 1.0;
        double r205067 = x;
        double r205068 = r205066 / r205067;
        double r205069 = r205068 - r205066;
        double r205070 = log(r205069);
        double r205071 = -r205070;
        return r205071;
}
↓
double f(double x) {
        double r205072 = 1.0;
        double r205073 = x;
        double r205074 = r205072 / r205073;
        double r205075 = r205074 - r205072;
        double r205076 = log(r205075);
        double r205077 = -r205076;
        return r205077;
}

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 2019119 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))