Average Error: 0.0 → 0.0
Time: 8.6s
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 r8817 = 1.0;
        double r8818 = x;
        double r8819 = r8817 / r8818;
        double r8820 = r8819 - r8817;
        double r8821 = log(r8820);
        double r8822 = -r8821;
        return r8822;
}
↓
double f(double x) {
        double r8823 = 1.0;
        double r8824 = x;
        double r8825 = r8823 / r8824;
        double r8826 = r8825 - r8823;
        double r8827 = log(r8826);
        double r8828 = -r8827;
        return r8828;
}

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 2019306 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))