Average Error: 0.0 → 0.0
Time: 7.2s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(b + a\right) \cdot \left(a - b\right)\]
a \cdot a - b \cdot b
↓
\left(b + a\right) \cdot \left(a - b\right)
double f(double a, double b) {
        double r4754836 = a;
        double r4754837 = r4754836 * r4754836;
        double r4754838 = b;
        double r4754839 = r4754838 * r4754838;
        double r4754840 = r4754837 - r4754839;
        return r4754840;
}
↓
double f(double a, double b) {
        double r4754841 = b;
        double r4754842 = a;
        double r4754843 = r4754841 + r4754842;
        double r4754844 = r4754842 - r4754841;
        double r4754845 = r4754843 * r4754844;
        return r4754845;
}

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. Using strategy rm

  3. Applied difference-of-squares0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019163 
(FPCore (a b)
  :name "Difference of squares"

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

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