Average Error: 0.0 → 0.0
Time: 2.7s
Precision: binary64
\[\left(5 \leq a \land a \leq 10\right) \land \left(0 \leq b \land b \leq 0.001\right)\]
\[\left(a + b\right) \cdot \left(a + b\right) \]
↓
\[\left(a + b\right) \cdot \left(a + b\right) \]
\left(a + b\right) \cdot \left(a + b\right)
↓
\left(a + b\right) \cdot \left(a + b\right)

(FPCore (a b) :precision binary64 (* (+ a b) (+ a b)))
↓
(FPCore (a b) :precision binary64 (* (+ a b) (+ a b)))
double code(double a, double b) {
	return (a + b) * (a + b);
}
↓
double code(double a, double b) {
	return (a + b) * (a + b);
}

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

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

Reproduce

herbie shell --seed 2022024 
(FPCore (a b)
  :name "Expression 4, p15"
  :precision binary64
  :pre (and (and (<= 5.0 a) (<= a 10.0)) (and (<= 0.0 b) (<= b 0.001)))

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

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