Average Error: 0.0 → 0.0
Time: 15.3s
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 r89463 = a;
        double r89464 = r89463 * r89463;
        double r89465 = b;
        double r89466 = r89465 * r89465;
        double r89467 = r89464 - r89466;
        return r89467;
}
↓
double f(double a, double b) {
        double r89468 = a;
        double r89469 = b;
        double r89470 = r89468 - r89469;
        double r89471 = r89468 + r89469;
        double r89472 = r89470 * r89471;
        return r89472;
}

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 2019322 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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