Average Error: 0.0 → 0.0
Time: 9.4s
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 r3951769 = a;
        double r3951770 = r3951769 * r3951769;
        double r3951771 = b;
        double r3951772 = r3951771 * r3951771;
        double r3951773 = r3951770 - r3951772;
        return r3951773;
}

double f(double a, double b) {
        double r3951774 = b;
        double r3951775 = a;
        double r3951776 = r3951774 + r3951775;
        double r3951777 = r3951775 - r3951774;
        double r3951778 = r3951776 * r3951777;
        return r3951778;
}

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. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{{a}^{2} - {b}^{2}}\]
  3. Simplified0.0

    \[\leadsto \color{blue}{\left(a + b\right) \cdot \left(a - b\right)}\]
  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019141 
(FPCore (a b)
  :name "Difference of squares"

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

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