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 r7500 = 1.0;
        double r7501 = x;
        double r7502 = r7500 / r7501;
        double r7503 = r7502 - r7500;
        double r7504 = log(r7503);
        double r7505 = -r7504;
        return r7505;
}
↓
double f(double x) {
        double r7506 = 1.0;
        double r7507 = x;
        double r7508 = r7506 / r7507;
        double r7509 = r7508 - r7506;
        double r7510 = log(r7509);
        double r7511 = -r7510;
        return r7511;
}

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 2019362 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))