Average Error: 0.0 → 0.0
Time: 13.7s
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 r23019 = 1.0;
        double r23020 = x;
        double r23021 = r23019 / r23020;
        double r23022 = r23021 - r23019;
        double r23023 = log(r23022);
        double r23024 = -r23023;
        return r23024;
}
↓
double f(double x) {
        double r23025 = 1.0;
        double r23026 = x;
        double r23027 = r23025 / r23026;
        double r23028 = r23027 - r23025;
        double r23029 = log(r23028);
        double r23030 = -r23029;
        return r23030;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))