Average Error: 0.0 → 0.0
Time: 10.0s
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 r5740711 = a;
        double r5740712 = r5740711 * r5740711;
        double r5740713 = b;
        double r5740714 = r5740713 * r5740713;
        double r5740715 = r5740712 - r5740714;
        return r5740715;
}
↓
double f(double a, double b) {
        double r5740716 = a;
        double r5740717 = r5740716 * r5740716;
        double r5740718 = b;
        double r5740719 = r5740718 * r5740718;
        double r5740720 = r5740717 - r5740719;
        return r5740720;
}

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 2019174 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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