Average Error: 0.0 → 0.0
Time: 721.0ms
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[a \cdot a - b \cdot b\]
a \cdot a - b \cdot b
↓
a \cdot a - b \cdot b
double f(double a, double b) {
        double r99608 = a;
        double r99609 = r99608 * r99608;
        double r99610 = b;
        double r99611 = r99610 * r99610;
        double r99612 = r99609 - r99611;
        return r99612;
}
↓
double f(double a, double b) {
        double r99613 = a;
        double r99614 = r99613 * r99613;
        double r99615 = b;
        double r99616 = r99615 * r99615;
        double r99617 = r99614 - r99616;
        return r99617;
}

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. Final simplification0.0

    \[\leadsto a \cdot a - b \cdot b\]

Reproduce

herbie shell --seed 2019362 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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