Average Error: 0.0 → 0.0
Time: 4.0s
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 r16535 = 1.0;
        double r16536 = x;
        double r16537 = r16535 / r16536;
        double r16538 = r16537 - r16535;
        double r16539 = log(r16538);
        double r16540 = -r16539;
        return r16540;
}
↓
double f(double x) {
        double r16541 = 1.0;
        double r16542 = x;
        double r16543 = r16541 / r16542;
        double r16544 = r16543 - r16541;
        double r16545 = log(r16544);
        double r16546 = -r16545;
        return r16546;
}

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 2020043 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))