Average Error: 0.0 → 0.0
Time: 13.8s
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 r23029 = 1.0;
        double r23030 = x;
        double r23031 = r23029 / r23030;
        double r23032 = r23031 - r23029;
        double r23033 = log(r23032);
        double r23034 = -r23033;
        return r23034;
}
↓
double f(double x) {
        double r23035 = 1.0;
        double r23036 = x;
        double r23037 = r23035 / r23036;
        double r23038 = r23037 - r23035;
        double r23039 = log(r23038);
        double r23040 = -r23039;
        return r23040;
}

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))))