Average Error: 0.0 → 0.0
Time: 3.2s
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 r8145 = 1.0;
        double r8146 = x;
        double r8147 = r8145 / r8146;
        double r8148 = r8147 - r8145;
        double r8149 = log(r8148);
        double r8150 = -r8149;
        return r8150;
}
↓
double f(double x) {
        double r8151 = 1.0;
        double r8152 = x;
        double r8153 = r8151 / r8152;
        double r8154 = r8153 - r8151;
        double r8155 = log(r8154);
        double r8156 = -r8155;
        return r8156;
}

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 2019310 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))