Average Error: 0.0 → 0.0
Time: 9.1s
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 r9315454 = a;
        double r9315455 = r9315454 * r9315454;
        double r9315456 = b;
        double r9315457 = r9315456 * r9315456;
        double r9315458 = r9315455 - r9315457;
        return r9315458;
}
↓
double f(double a, double b) {
        double r9315459 = b;
        double r9315460 = a;
        double r9315461 = r9315459 + r9315460;
        double r9315462 = r9315460 - r9315459;
        double r9315463 = r9315461 * r9315462;
        return r9315463;
}

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 2019158 
(FPCore (a b)
  :name "Difference of squares"

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

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