Average Error: 0.0 → 0.0
Time: 7.0s
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 r4503466 = a;
        double r4503467 = r4503466 * r4503466;
        double r4503468 = b;
        double r4503469 = r4503468 * r4503468;
        double r4503470 = r4503467 - r4503469;
        return r4503470;
}
↓
double f(double a, double b) {
        double r4503471 = b;
        double r4503472 = a;
        double r4503473 = r4503471 + r4503472;
        double r4503474 = r4503472 - r4503471;
        double r4503475 = r4503473 * r4503474;
        return r4503475;
}

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 2019164 
(FPCore (a b)
  :name "Difference of squares"

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

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