Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[x \cdot x - 1.0\]
↓
\[x \cdot x - 1.0\]
x \cdot x - 1.0
↓
x \cdot x - 1.0
double f(double x) {
        double r7232444 = x;
        double r7232445 = r7232444 * r7232444;
        double r7232446 = 1.0;
        double r7232447 = r7232445 - r7232446;
        return r7232447;
}
↓
double f(double x) {
        double r7232448 = x;
        double r7232449 = r7232448 * r7232448;
        double r7232450 = 1.0;
        double r7232451 = r7232449 - r7232450;
        return r7232451;
}

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

    \[x \cdot x - 1.0\]

  2. Final simplification0.0

    \[\leadsto x \cdot x - 1.0\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x)
  :name "Data.Random.Dice:roll from dice-0.1"
  (- (* x x) 1.0))