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 r60162 = a;
        double r60163 = r60162 * r60162;
        double r60164 = b;
        double r60165 = r60164 * r60164;
        double r60166 = r60163 - r60165;
        return r60166;
}
↓
double f(double a, double b) {
        double r60167 = b;
        double r60168 = a;
        double r60169 = r60167 + r60168;
        double r60170 = r60168 - r60167;
        double r60171 = r60169 * r60170;
        return r60171;
}

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 2019194 
(FPCore (a b)
  :name "Difference of squares"

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

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