Average Error: 0.0 → 0.0
Time: 2.8s
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 r16955 = 1.0;
        double r16956 = x;
        double r16957 = r16955 / r16956;
        double r16958 = r16957 - r16955;
        double r16959 = log(r16958);
        double r16960 = -r16959;
        return r16960;
}
↓
double f(double x) {
        double r16961 = 1.0;
        double r16962 = x;
        double r16963 = r16961 / r16962;
        double r16964 = r16963 - r16961;
        double r16965 = log(r16964);
        double r16966 = -r16965;
        return r16966;
}

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 2020043 +o rules:numerics
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))