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 r19289578 = a;
        double r19289579 = r19289578 * r19289578;
        double r19289580 = b;
        double r19289581 = r19289580 * r19289580;
        double r19289582 = r19289579 - r19289581;
        return r19289582;
}
↓
double f(double a, double b) {
        double r19289583 = a;
        double r19289584 = r19289583 * r19289583;
        double r19289585 = b;
        double r19289586 = r19289585 * r19289585;
        double r19289587 = r19289584 - r19289586;
        return r19289587;
}

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 2019125 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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