Average Error: 0.0 → 0.0
Time: 1.9s
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 r11068 = 1.0;
        double r11069 = x;
        double r11070 = r11068 / r11069;
        double r11071 = r11070 - r11068;
        double r11072 = log(r11071);
        double r11073 = -r11072;
        return r11073;
}
↓
double f(double x) {
        double r11074 = 1.0;
        double r11075 = x;
        double r11076 = r11074 / r11075;
        double r11077 = r11076 - r11074;
        double r11078 = log(r11077);
        double r11079 = -r11078;
        return r11079;
}

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 2020059 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))