Average Error: 0.0 → 0.0
Time: 5.1s
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 r97549 = a;
        double r97550 = r97549 * r97549;
        double r97551 = b;
        double r97552 = r97551 * r97551;
        double r97553 = r97550 - r97552;
        return r97553;
}
↓
double f(double a, double b) {
        double r97554 = b;
        double r97555 = a;
        double r97556 = r97554 + r97555;
        double r97557 = r97555 - r97554;
        double r97558 = r97556 * r97557;
        return r97558;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\left(b + a\right) \cdot \left(a - b\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019212 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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