Average Error: 0.0 → 0.0
Time: 627.0ms
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 r99245 = a;
        double r99246 = r99245 * r99245;
        double r99247 = b;
        double r99248 = r99247 * r99247;
        double r99249 = r99246 - r99248;
        return r99249;
}
↓
double f(double a, double b) {
        double r99250 = a;
        double r99251 = r99250 * r99250;
        double r99252 = b;
        double r99253 = r99252 * r99252;
        double r99254 = r99251 - r99253;
        return r99254;
}

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 2020060 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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