Average Error: 0.0 → 0.0
Time: 29.8s
Precision: 64
\[\left(a + b\right) \cdot \left(a + b\right)\]
↓
\[\left(b + a\right) \cdot \left(b + a\right)\]
double f(double a, double b) {
        double r13452815 = a;
        double r13452816 = b;
        double r13452817 = r13452815 + r13452816;
        double r13452818 = r13452817 * r13452817;
        return r13452818;
}
↓
double f(double a, double b) {
        double r13452819 = b;
        double r13452820 = a;
        double r13452821 = r13452819 + r13452820;
        double r13452822 = r13452821 * r13452821;
        return r13452822;
}


\left(a + b\right) \cdot \left(a + b\right)
↓
\left(b + a\right) \cdot \left(b + a\right)

Error

Bits error versus a

Bits error versus b

Target

Original0.0
Target0.0
Herbie0.0
\[\left(\left(b \cdot a + b \cdot b\right) + b \cdot a\right) + a \cdot a\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019101 
(FPCore (a b)
  :name "Expression 4, p15"
  :pre (and (<= 5 a 10) (<= 0 b 0.001))

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

  (* (+ a b) (+ a b)))