Average Error: 0.0 → 0.0
Time: 2.1s
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 r27958813 = a;
        double r27958814 = r27958813 * r27958813;
        double r27958815 = b;
        double r27958816 = r27958815 * r27958815;
        double r27958817 = r27958814 - r27958816;
        return r27958817;
}
↓
double f(double a, double b) {
        double r27958818 = b;
        double r27958819 = a;
        double r27958820 = r27958818 + r27958819;
        double r27958821 = r27958819 - r27958818;
        double r27958822 = r27958820 * r27958821;
        return r27958822;
}

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 2019107 
(FPCore (a b)
  :name "Difference of squares"

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

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