Average Error: 0.0 → 0.0
Time: 7.2s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(a + b\right) \cdot \left(a - b\right)\]
a \cdot a - b \cdot b
↓
\left(a + b\right) \cdot \left(a - b\right)
double f(double a, double b) {
        double r8995954 = a;
        double r8995955 = r8995954 * r8995954;
        double r8995956 = b;
        double r8995957 = r8995956 * r8995956;
        double r8995958 = r8995955 - r8995957;
        return r8995958;
}
↓
double f(double a, double b) {
        double r8995959 = a;
        double r8995960 = b;
        double r8995961 = r8995959 + r8995960;
        double r8995962 = r8995959 - r8995960;
        double r8995963 = r8995961 * r8995962;
        return r8995963;
}

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

    \[\leadsto \left(a + b\right) \cdot \left(a - b\right)\]

Reproduce

herbie shell --seed 2019174 
(FPCore (a b)
  :name "Difference of squares"

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

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