Average Error: 0.0 → 0.0
Time: 26.6s
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 r719501 = 1.0;
        double r719502 = x;
        double r719503 = r719501 / r719502;
        double r719504 = r719503 - r719501;
        double r719505 = log(r719504);
        double r719506 = -r719505;
        return r719506;
}
↓
double f(double x) {
        double r719507 = 1.0;
        double r719508 = x;
        double r719509 = r719507 / r719508;
        double r719510 = r719509 - r719507;
        double r719511 = log(r719510);
        double r719512 = -r719511;
        return r719512;
}

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 2019125 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))