Average Error: 0.0 → 0.0
Time: 954.0ms
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 r104270 = a;
        double r104271 = r104270 * r104270;
        double r104272 = b;
        double r104273 = r104272 * r104272;
        double r104274 = r104271 - r104273;
        return r104274;
}
↓
double f(double a, double b) {
        double r104275 = a;
        double r104276 = b;
        double r104277 = r104275 + r104276;
        double r104278 = r104275 - r104276;
        double r104279 = r104277 * r104278;
        return r104279;
}

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 2020046 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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