Error

Target

Derivation

1. Initial program 3.7

   \[\left(a + \left(b + \left(c + d\right)\right)\right) \cdot 2\]
2. Using strategy rm

3. Applied +-commutative3.7

   \[\leadsto \left(a + \left(b + \color{blue}{\left(d + c\right)}\right)\right) \cdot 2\]

4. Applied associate-+r+3.1

   \[\leadsto \left(a + \color{blue}{\left(\left(b + d\right) + c\right)}\right) \cdot 2\]

5. Applied associate-+r+2.8

   \[\leadsto \color{blue}{\left(\left(a + \left(b + d\right)\right) + c\right)} \cdot 2\]
6. Using strategy rm

7. Applied +-commutative2.8

   \[\leadsto \left(\left(a + \color{blue}{\left(d + b\right)}\right) + c\right) \cdot 2\]

8. Applied associate-+r+0.0

   \[\leadsto \left(\color{blue}{\left(\left(a + d\right) + b\right)} + c\right) \cdot 2\]

9. Applied associate-+l+0

   \[\leadsto \color{blue}{\left(\left(a + d\right) + \left(b + c\right)\right)} \cdot 2\]

10. Final simplification0

    \[\leadsto 2 \cdot \left(\left(b + c\right) + \left(d + a\right)\right)\]

Reproduce

herbie shell --seed 2019088 
(FPCore (a b c d)
  :name "Expression, p6"
  :pre (and (<= -14 a -13) (<= -3 b -2) (<= 3 c 3.5) (<= 12.5 d 13.5))

  :herbie-target
  (+ (* (+ a b) 2) (* (+ c d) 2))

  (* (+ a (+ b (+ c d))) 2))