Average Error: 0.0 → 0.0
Time: 2.4s
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 r14761546 = a;
        double r14761547 = r14761546 * r14761546;
        double r14761548 = b;
        double r14761549 = r14761548 * r14761548;
        double r14761550 = r14761547 - r14761549;
        return r14761550;
}
↓
double f(double a, double b) {
        double r14761551 = b;
        double r14761552 = a;
        double r14761553 = r14761551 + r14761552;
        double r14761554 = r14761552 - r14761551;
        double r14761555 = r14761553 * r14761554;
        return r14761555;
}

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)))