Average Error: 0.0 → 0.0
Time: 18.9s
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 r4431436 = a;
        double r4431437 = r4431436 * r4431436;
        double r4431438 = b;
        double r4431439 = r4431438 * r4431438;
        double r4431440 = r4431437 - r4431439;
        return r4431440;
}
↓
double f(double a, double b) {
        double r4431441 = b;
        double r4431442 = a;
        double r4431443 = r4431441 + r4431442;
        double r4431444 = r4431442 - r4431441;
        double r4431445 = r4431443 * r4431444;
        return r4431445;
}

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 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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