Average Error: 0.2 → 0.2
Time: 14.0s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
\[\frac{x \cdot x - 3}{6}\]
\frac{x \cdot x - 3}{6}
\frac{x \cdot x - 3}{6}
double f(double x) {
        double r6104114 = x;
        double r6104115 = r6104114 * r6104114;
        double r6104116 = 3.0;
        double r6104117 = r6104115 - r6104116;
        double r6104118 = 6.0;
        double r6104119 = r6104117 / r6104118;
        return r6104119;
}

double f(double x) {
        double r6104120 = x;
        double r6104121 = r6104120 * r6104120;
        double r6104122 = 3.0;
        double r6104123 = r6104121 - r6104122;
        double r6104124 = 6.0;
        double r6104125 = r6104123 / r6104124;
        return r6104125;
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot x - 3}{6}\]
  2. Final simplification0.2

    \[\leadsto \frac{x \cdot x - 3}{6}\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))