Average Error: 0.0 → 0.0
Time: 52.8s
Precision: 64
\[5 \le a \le 10 \land 0 \le b \le 0.001\]
\[\left(a + b\right) \cdot \left(a + b\right)\]
↓
\[\left(b + a\right) \cdot \left(b + a\right)\]
\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 r4047544 = a;
        double r4047545 = b;
        double r4047546 = r4047544 + r4047545;
        double r4047547 = r4047546 * r4047546;
        return r4047547;
}
↓
double f(double a, double b) {
        double r4047548 = b;
        double r4047549 = a;
        double r4047550 = r4047548 + r4047549;
        double r4047551 = r4047550 * r4047550;
        return r4047551;
}

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

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 2019130 
(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)))