Average Error: 0.0 → 0.0
Time: 18.1s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(a - b\right) \cdot \left(a + b\right)\]
a \cdot a - b \cdot b
↓
\left(a - b\right) \cdot \left(a + b\right)
double f(double a, double b) {
        double r70657 = a;
        double r70658 = r70657 * r70657;
        double r70659 = b;
        double r70660 = r70659 * r70659;
        double r70661 = r70658 - r70660;
        return r70661;
}
↓
double f(double a, double b) {
        double r70662 = a;
        double r70663 = b;
        double r70664 = r70662 - r70663;
        double r70665 = r70662 + r70663;
        double r70666 = r70664 * r70665;
        return r70666;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(a + b\right) \cdot \left(a - b\right)\]

Derivation

  1. Initial program 0.0

    \[a \cdot a - b \cdot b\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(a - b\right) \cdot \left(a + b\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(a - b\right) \cdot \left(a + b\right)\]

Reproduce

herbie shell --seed 2019304 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

  :herbie-target
  (* (+ a b) (- a b))

  (- (* a a) (* b b)))