Average Error: 0.0 → 0.0
Time: 10.6s
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 r4162633 = a;
        double r4162634 = r4162633 * r4162633;
        double r4162635 = b;
        double r4162636 = r4162635 * r4162635;
        double r4162637 = r4162634 - r4162636;
        return r4162637;
}
↓
double f(double a, double b) {
        double r4162638 = a;
        double r4162639 = r4162638 * r4162638;
        double r4162640 = b;
        double r4162641 = r4162640 * r4162640;
        double r4162642 = r4162639 - r4162641;
        return r4162642;
}

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 2019172 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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