Average Error: 0.0 → 0.0
Time: 1.1s
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 r7479 = 1.0;
        double r7480 = x;
        double r7481 = r7479 / r7480;
        double r7482 = r7481 - r7479;
        double r7483 = log(r7482);
        double r7484 = -r7483;
        return r7484;
}
↓
double f(double x) {
        double r7485 = 1.0;
        double r7486 = x;
        double r7487 = r7485 / r7486;
        double r7488 = r7487 - r7485;
        double r7489 = log(r7488);
        double r7490 = -r7489;
        return r7490;
}

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 2020060 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))