Average Error: 0.0 → 0.0
Time: 9.5s
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 r3578993 = a;
        double r3578994 = r3578993 * r3578993;
        double r3578995 = b;
        double r3578996 = r3578995 * r3578995;
        double r3578997 = r3578994 - r3578996;
        return r3578997;
}
↓
double f(double a, double b) {
        double r3578998 = b;
        double r3578999 = a;
        double r3579000 = r3578998 + r3578999;
        double r3579001 = r3578999 - r3578998;
        double r3579002 = r3579000 * r3579001;
        return r3579002;
}

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 2019143 
(FPCore (a b)
  :name "Difference of squares"

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

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