Average Error: 0.1 → 0.1
Time: 2.1s
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 r76488 = x;
        double r76489 = r76488 * r76488;
        double r76490 = 3.0;
        double r76491 = r76489 - r76490;
        double r76492 = 6.0;
        double r76493 = r76491 / r76492;
        return r76493;
}
↓
double f(double x) {
        double r76494 = x;
        double r76495 = r76494 * r76494;
        double r76496 = 3.0;
        double r76497 = r76495 - r76496;
        double r76498 = 6.0;
        double r76499 = r76497 / r76498;
        return r76499;
}

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 2020062 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))