Average Error: 0.0 → 0.0
Time: 12.0s
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 r57442 = a;
        double r57443 = r57442 * r57442;
        double r57444 = b;
        double r57445 = r57444 * r57444;
        double r57446 = r57443 - r57445;
        return r57446;
}
↓
double f(double a, double b) {
        double r57447 = a;
        double r57448 = r57447 * r57447;
        double r57449 = b;
        double r57450 = r57449 * r57449;
        double r57451 = r57448 - r57450;
        return r57451;
}

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 2019323 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"
  :precision binary64

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

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