Average Error: 0.1 → 0.1
Time: 36.8s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x}{6} - \frac{3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x}{6} - \frac{3}{6}
double f(double x) {
        double r3922074 = x;
        double r3922075 = r3922074 * r3922074;
        double r3922076 = 3.0;
        double r3922077 = r3922075 - r3922076;
        double r3922078 = 6.0;
        double r3922079 = r3922077 / r3922078;
        return r3922079;
}
↓
double f(double x) {
        double r3922080 = x;
        double r3922081 = r3922080 * r3922080;
        double r3922082 = 6.0;
        double r3922083 = r3922081 / r3922082;
        double r3922084 = 3.0;
        double r3922085 = r3922084 / r3922082;
        double r3922086 = r3922083 - r3922085;
        return r3922086;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{x \cdot x - 3}{6}\]
  2. Using strategy rm

  3. Applied div-sub0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))