Average Error: 0.0 → 0.0
Time: 12.0s
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 r4003193 = a;
        double r4003194 = r4003193 * r4003193;
        double r4003195 = b;
        double r4003196 = r4003195 * r4003195;
        double r4003197 = r4003194 - r4003196;
        return r4003197;
}
↓
double f(double a, double b) {
        double r4003198 = b;
        double r4003199 = a;
        double r4003200 = r4003198 + r4003199;
        double r4003201 = r4003199 - r4003198;
        double r4003202 = r4003200 * r4003201;
        return r4003202;
}

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

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

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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