Average Error: 0.0 → 0.0
Time: 6.0s
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 r3876359 = a;
        double r3876360 = r3876359 * r3876359;
        double r3876361 = b;
        double r3876362 = r3876361 * r3876361;
        double r3876363 = r3876360 - r3876362;
        return r3876363;
}
↓
double f(double a, double b) {
        double r3876364 = b;
        double r3876365 = a;
        double r3876366 = r3876364 + r3876365;
        double r3876367 = r3876365 - r3876364;
        double r3876368 = r3876366 * r3876367;
        return r3876368;
}

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 2019132 
(FPCore (a b)
  :name "Difference of squares"

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

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