Average Error: 0.0 → 0.0
Time: 9.2s
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 r15403 = 1.0;
        double r15404 = x;
        double r15405 = r15403 / r15404;
        double r15406 = r15405 - r15403;
        double r15407 = log(r15406);
        double r15408 = -r15407;
        return r15408;
}
↓
double f(double x) {
        double r15409 = 1.0;
        double r15410 = x;
        double r15411 = r15409 / r15410;
        double r15412 = r15411 - r15409;
        double r15413 = log(r15412);
        double r15414 = -r15413;
        return r15414;
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019199 +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))