Average Error: 0.0 → 0.0
Time: 2.2s
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 r6696 = 1.0;
        double r6697 = x;
        double r6698 = r6696 / r6697;
        double r6699 = r6698 - r6696;
        double r6700 = log(r6699);
        double r6701 = -r6700;
        return r6701;
}
↓
double f(double x) {
        double r6702 = 1.0;
        double r6703 = x;
        double r6704 = r6702 / r6703;
        double r6705 = r6704 - r6702;
        double r6706 = log(r6705);
        double r6707 = -r6706;
        return r6707;
}

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))))