Average Error: 0.0 → 0.0
Time: 743.0ms
Precision: 64
\[x \cdot x - 1\]
↓
\[x \cdot x - 1\]
x \cdot x - 1
↓
x \cdot x - 1
double f(double x) {
        double r133707 = x;
        double r133708 = r133707 * r133707;
        double r133709 = 1.0;
        double r133710 = r133708 - r133709;
        return r133710;
}
↓
double f(double x) {
        double r133711 = x;
        double r133712 = r133711 * r133711;
        double r133713 = 1.0;
        double r133714 = r133712 - r133713;
        return r133714;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[x \cdot x - 1\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - 1\]

Reproduce

herbie shell --seed 2019304 +o rules:numerics
(FPCore (x)
  :name "Data.Random.Dice:roll from dice-0.1"
  :precision binary64
  (- (* x x) 1))