Average Error: 0.0 → 0.0
Time: 13.4s
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 r23040 = 1.0;
        double r23041 = x;
        double r23042 = r23040 / r23041;
        double r23043 = r23042 - r23040;
        double r23044 = log(r23043);
        double r23045 = -r23044;
        return r23045;
}
↓
double f(double x) {
        double r23046 = 1.0;
        double r23047 = x;
        double r23048 = r23046 / r23047;
        double r23049 = r23048 - r23046;
        double r23050 = log(r23049);
        double r23051 = -r23050;
        return r23051;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))