Average Error: 0.0 → 0.0
Time: 14.3s
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 r16003 = 1.0;
        double r16004 = x;
        double r16005 = r16003 / r16004;
        double r16006 = r16005 - r16003;
        double r16007 = log(r16006);
        double r16008 = -r16007;
        return r16008;
}
↓
double f(double x) {
        double r16009 = 1.0;
        double r16010 = x;
        double r16011 = r16009 / r16010;
        double r16012 = r16011 - r16009;
        double r16013 = log(r16012);
        double r16014 = -r16013;
        return r16014;
}

Error

Bits error versus x

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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 2019199 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))