Average Error: 0.0 → 0.0
Time: 7.3s
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 r4523660 = a;
        double r4523661 = r4523660 * r4523660;
        double r4523662 = b;
        double r4523663 = r4523662 * r4523662;
        double r4523664 = r4523661 - r4523663;
        return r4523664;
}
↓
double f(double a, double b) {
        double r4523665 = b;
        double r4523666 = a;
        double r4523667 = r4523665 + r4523666;
        double r4523668 = r4523666 - r4523665;
        double r4523669 = r4523667 * r4523668;
        return r4523669;
}

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 2019146 
(FPCore (a b)
  :name "Difference of squares"

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

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