Average Error: 0.0 → 0.0
Time: 2.5s
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 r7549780 = a;
        double r7549781 = r7549780 * r7549780;
        double r7549782 = b;
        double r7549783 = r7549782 * r7549782;
        double r7549784 = r7549781 - r7549783;
        return r7549784;
}
↓
double f(double a, double b) {
        double r7549785 = b;
        double r7549786 = a;
        double r7549787 = r7549785 + r7549786;
        double r7549788 = r7549786 - r7549785;
        double r7549789 = r7549787 * r7549788;
        return r7549789;
}

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 2019121 
(FPCore (a b)
  :name "Difference of squares"

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

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