Average Error: 0.1 → 0.2
Time: 10.6s
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 r3940506 = x;
        double r3940507 = r3940506 * r3940506;
        double r3940508 = 3.0;
        double r3940509 = r3940507 - r3940508;
        double r3940510 = 6.0;
        double r3940511 = r3940509 / r3940510;
        return r3940511;
}
↓
double f(double x) {
        double r3940512 = x;
        double r3940513 = r3940512 * r3940512;
        double r3940514 = 3.0;
        double r3940515 = r3940513 - r3940514;
        double r3940516 = 1.0;
        double r3940517 = 6.0;
        double r3940518 = r3940516 / r3940517;
        double r3940519 = r3940515 * r3940518;
        return r3940519;
}

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 2019165 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))