Average Error: 0.1 → 0.1
Time: 2.9s
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 r8518 = 1.0;
        double r8519 = x;
        double r8520 = r8518 / r8519;
        double r8521 = r8520 - r8518;
        double r8522 = log(r8521);
        double r8523 = -r8522;
        return r8523;
}
↓
double f(double x) {
        double r8524 = 1.0;
        double r8525 = x;
        double r8526 = r8524 / r8525;
        double r8527 = r8526 - r8524;
        double r8528 = log(r8527);
        double r8529 = -r8528;
        return r8529;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[-\log \left(\frac{1}{x} - 1\right)\]

  2. Final simplification0.1

    \[\leadsto -\log \left(\frac{1}{x} - 1\right)\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))