Average Error: 0.0 → 0.0
Time: 1.8s
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 r89 = 1.0;
        double r90 = x;
        double r91 = r89 / r90;
        double r92 = r91 - r89;
        double r93 = log(r92);
        double r94 = -r93;
        return r94;
}
↓
double f(double x) {
        double r95 = 1.0;
        double r96 = x;
        double r97 = r95 / r96;
        double r98 = r97 - r95;
        double r99 = log(r98);
        double r100 = -r99;
        return r100;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))