Average Error: 0.0 → 0.0
Time: 6.3s
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 r16544 = 1.0;
        double r16545 = x;
        double r16546 = r16544 / r16545;
        double r16547 = r16546 - r16544;
        double r16548 = log(r16547);
        double r16549 = -r16548;
        return r16549;
}
↓
double f(double x) {
        double r16550 = 1.0;
        double r16551 = x;
        double r16552 = r16550 / r16551;
        double r16553 = r16552 - r16550;
        double r16554 = log(r16553);
        double r16555 = -r16554;
        return r16555;
}

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 2019294 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))