Average Error: 0.0 → 0.0
Time: 3.6s
Precision: 64
\[a \cdot a - b \cdot b\]
↓
\[\left(b + a\right) \cdot \left(a - b\right)\]
a \cdot a - b \cdot b
↓
\left(b + a\right) \cdot \left(a - b\right)
double f(double a, double b) {
        double r1592136 = a;
        double r1592137 = r1592136 * r1592136;
        double r1592138 = b;
        double r1592139 = r1592138 * r1592138;
        double r1592140 = r1592137 - r1592139;
        return r1592140;
}
↓
double f(double a, double b) {
        double r1592141 = b;
        double r1592142 = a;
        double r1592143 = r1592141 + r1592142;
        double r1592144 = r1592142 - r1592141;
        double r1592145 = r1592143 * r1592144;
        return r1592145;
}

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. Using strategy rm

  3. Applied difference-of-squares0.0

    \[\leadsto \color{blue}{\left(a + b\right) \cdot \left(a - b\right)}\]

  4. Final simplification0.0

    \[\leadsto \left(b + a\right) \cdot \left(a - b\right)\]

Reproduce

herbie shell --seed 2019153 +o rules:numerics
(FPCore (a b)
  :name "Difference of squares"

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

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