Average Error: 0.0 → 0.0
Time: 5.2s
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 r108519 = a;
        double r108520 = r108519 * r108519;
        double r108521 = b;
        double r108522 = r108521 * r108521;
        double r108523 = r108520 - r108522;
        return r108523;
}
↓
double f(double a, double b) {
        double r108524 = a;
        double r108525 = b;
        double r108526 = r108524 - r108525;
        double r108527 = r108524 + r108525;
        double r108528 = r108526 * r108527;
        return r108528;
}

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 2020046 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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