Average Error: 0.0 → 0.0
Time: 1.1s
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 r6751 = 1.0;
        double r6752 = x;
        double r6753 = r6751 / r6752;
        double r6754 = r6753 - r6751;
        double r6755 = log(r6754);
        double r6756 = -r6755;
        return r6756;
}
↓
double f(double x) {
        double r6757 = 1.0;
        double r6758 = x;
        double r6759 = r6757 / r6758;
        double r6760 = r6759 - r6757;
        double r6761 = log(r6760);
        double r6762 = -r6761;
        return r6762;
}

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 2020020 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))