Average Error: 0.0 → 0.0
Time: 12.7s
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 r9741 = a;
        double r9742 = r9741 * r9741;
        double r9743 = b;
        double r9744 = r9743 * r9743;
        double r9745 = r9742 - r9744;
        return r9745;
}
↓
double f(double a, double b) {
        double r9746 = a;
        double r9747 = b;
        double r9748 = r9746 - r9747;
        double r9749 = r9746 + r9747;
        double r9750 = r9748 * r9749;
        return r9750;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019310 
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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