Average Error: 0.0 → 0.0
Time: 7.2s
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 r4676907 = a;
        double r4676908 = r4676907 * r4676907;
        double r4676909 = b;
        double r4676910 = r4676909 * r4676909;
        double r4676911 = r4676908 - r4676910;
        return r4676911;
}
↓
double f(double a, double b) {
        double r4676912 = b;
        double r4676913 = a;
        double r4676914 = r4676912 + r4676913;
        double r4676915 = r4676913 - r4676912;
        double r4676916 = r4676914 * r4676915;
        return r4676916;
}

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 2019162 
(FPCore (a b)
  :name "Difference of squares"

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

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