Average Error: 0.1 → 0.1
Time: 12.8s
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 r4258304 = x;
        double r4258305 = r4258304 * r4258304;
        double r4258306 = 3.0;
        double r4258307 = r4258305 - r4258306;
        double r4258308 = 6.0;
        double r4258309 = r4258307 / r4258308;
        return r4258309;
}
↓
double f(double x) {
        double r4258310 = x;
        double r4258311 = r4258310 * r4258310;
        double r4258312 = 3.0;
        double r4258313 = r4258311 - r4258312;
        double r4258314 = 6.0;
        double r4258315 = r4258313 / r4258314;
        return r4258315;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019172 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))