Average Error: 0.1 → 0.2
Time: 14.5s
Precision: 64
\[\frac{x \cdot x - 3.0}{6.0}\]
↓
\[\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}\]
\frac{x \cdot x - 3.0}{6.0}
↓
\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}
double f(double x) {
        double r3885508 = x;
        double r3885509 = r3885508 * r3885508;
        double r3885510 = 3.0;
        double r3885511 = r3885509 - r3885510;
        double r3885512 = 6.0;
        double r3885513 = r3885511 / r3885512;
        return r3885513;
}
↓
double f(double x) {
        double r3885514 = x;
        double r3885515 = r3885514 * r3885514;
        double r3885516 = 3.0;
        double r3885517 = r3885515 - r3885516;
        double r3885518 = 1.0;
        double r3885519 = 6.0;
        double r3885520 = r3885518 / r3885519;
        double r3885521 = r3885517 * r3885520;
        return r3885521;
}

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

    \[\frac{x \cdot x - 3.0}{6.0}\]
  2. Using strategy rm

  3. Applied div-inv0.2

    \[\leadsto \color{blue}{\left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}}\]

  4. Final simplification0.2

    \[\leadsto \left(x \cdot x - 3.0\right) \cdot \frac{1}{6.0}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))