Average Error: 0.0 → 0.0
Time: 5.3s
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 r3497970 = a;
        double r3497971 = r3497970 * r3497970;
        double r3497972 = b;
        double r3497973 = r3497972 * r3497972;
        double r3497974 = r3497971 - r3497973;
        return r3497974;
}
↓
double f(double a, double b) {
        double r3497975 = b;
        double r3497976 = a;
        double r3497977 = r3497975 + r3497976;
        double r3497978 = r3497976 - r3497975;
        double r3497979 = r3497977 * r3497978;
        return r3497979;
}

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 2019165 
(FPCore (a b)
  :name "Difference of squares"

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

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