Average Error: 0.0 → 0.0
Time: 659.0ms
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 r11231968 = x;
        double r11231969 = r11231968 * r11231968;
        double r11231970 = 1.0;
        double r11231971 = r11231969 - r11231970;
        return r11231971;
}
↓
double f(double x) {
        double r11231972 = x;
        double r11231973 = r11231972 * r11231972;
        double r11231974 = 1.0;
        double r11231975 = r11231973 - r11231974;
        return r11231975;
}

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 2019164 +o rules:numerics
(FPCore (x)
  :name "Data.Random.Dice:roll from dice-0.1"
  (- (* x x) 1.0))