Average Error: 0.0 → 0.0
Time: 6.4s
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 r68372 = a;
        double r68373 = r68372 * r68372;
        double r68374 = b;
        double r68375 = r68374 * r68374;
        double r68376 = r68373 - r68375;
        return r68376;
}
↓
double f(double a, double b) {
        double r68377 = b;
        double r68378 = a;
        double r68379 = r68377 + r68378;
        double r68380 = r68378 - r68377;
        double r68381 = r68379 * r68380;
        return r68381;
}

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 2019179 
(FPCore (a b)
  :name "Difference of squares"

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

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