Average Error: 0.0 → 0.0
Time: 1.6s
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 r29786458 = a;
        double r29786459 = r29786458 * r29786458;
        double r29786460 = b;
        double r29786461 = r29786460 * r29786460;
        double r29786462 = r29786459 - r29786461;
        return r29786462;
}
↓
double f(double a, double b) {
        double r29786463 = a;
        double r29786464 = r29786463 * r29786463;
        double r29786465 = b;
        double r29786466 = r29786465 * r29786465;
        double r29786467 = r29786464 - r29786466;
        return r29786467;
}

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 2019128 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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