Average Error: 0.0 → 0.0
Time: 2.0s
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 r2400 = 1.0;
        double r2401 = x;
        double r2402 = r2400 / r2401;
        double r2403 = r2402 - r2400;
        double r2404 = log(r2403);
        double r2405 = -r2404;
        return r2405;
}
↓
double f(double x) {
        double r2406 = 1.0;
        double r2407 = x;
        double r2408 = r2406 / r2407;
        double r2409 = r2408 - r2406;
        double r2410 = log(r2409);
        double r2411 = -r2410;
        return r2411;
}

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 2020034 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))