Average Error: 0.0 → 0.0
Time: 12.1s
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 r94144 = 1.0;
        double r94145 = x;
        double r94146 = r94144 / r94145;
        double r94147 = r94146 - r94144;
        double r94148 = log(r94147);
        double r94149 = -r94148;
        return r94149;
}
↓
double f(double x) {
        double r94150 = 1.0;
        double r94151 = x;
        double r94152 = r94150 / r94151;
        double r94153 = r94152 - r94150;
        double r94154 = log(r94153);
        double r94155 = -r94154;
        return r94155;
}

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 2020036 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))