Average Error: 0.0 → 0.0
Time: 13.3s
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 r25105 = 1.0;
        double r25106 = x;
        double r25107 = r25105 / r25106;
        double r25108 = r25107 - r25105;
        double r25109 = log(r25108);
        double r25110 = -r25109;
        return r25110;
}
↓
double f(double x) {
        double r25111 = 1.0;
        double r25112 = x;
        double r25113 = r25111 / r25112;
        double r25114 = r25113 - r25111;
        double r25115 = log(r25114);
        double r25116 = -r25115;
        return r25116;
}

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 2019195 
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1.0 x) 1.0))))