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 r7409754 = a;
        double r7409755 = r7409754 * r7409754;
        double r7409756 = b;
        double r7409757 = r7409756 * r7409756;
        double r7409758 = r7409755 - r7409757;
        return r7409758;
}
↓
double f(double a, double b) {
        double r7409759 = a;
        double r7409760 = r7409759 * r7409759;
        double r7409761 = b;
        double r7409762 = r7409761 * r7409761;
        double r7409763 = r7409760 - r7409762;
        return r7409763;
}

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 2019124 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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