Average Error: 0.0 → 0.0
Time: 10.1s
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 r85539 = a;
        double r85540 = r85539 * r85539;
        double r85541 = b;
        double r85542 = r85541 * r85541;
        double r85543 = r85540 - r85542;
        return r85543;
}
↓
double f(double a, double b) {
        double r85544 = b;
        double r85545 = a;
        double r85546 = r85544 + r85545;
        double r85547 = r85545 - r85544;
        double r85548 = r85546 * r85547;
        return r85548;
}

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 2019208 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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