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 associate-+r+2.8

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

5. Applied add-cube-cbrt3.1

   \[\leadsto \color{blue}{\left(\left(\sqrt[3]{a + \left(\left(b + c\right) + d\right)} \cdot \sqrt[3]{a + \left(\left(b + c\right) + d\right)}\right) \cdot \sqrt[3]{a + \left(\left(b + c\right) + d\right)}\right)} \cdot 2\]
6. Using strategy rm

7. Applied associate-+r+2.9

   \[\leadsto \left(\left(\sqrt[3]{a + \left(\left(b + c\right) + d\right)} \cdot \sqrt[3]{a + \left(\left(b + c\right) + d\right)}\right) \cdot \sqrt[3]{\color{blue}{\left(a + \left(b + c\right)\right) + d}}\right) \cdot 2\]
8. Using strategy rm

9. Applied add-cbrt-cube2.9

   \[\leadsto \left(\left(\sqrt[3]{a + \left(\left(b + c\right) + d\right)} \cdot \sqrt[3]{a + \left(\left(b + c\right) + d\right)}\right) \cdot \sqrt[3]{\color{blue}{\sqrt[3]{\left(\left(\left(a + \left(b + c\right)\right) + d\right) \cdot \left(\left(a + \left(b + c\right)\right) + d\right)\right) \cdot \left(\left(a + \left(b + c\right)\right) + d\right)}}}\right) \cdot 2\]

10. Applied simplify2.7

    \[\leadsto \left(\left(\sqrt[3]{a + \left(\left(b + c\right) + d\right)} \cdot \sqrt[3]{a + \left(\left(b + c\right) + d\right)}\right) \cdot \sqrt[3]{\sqrt[3]{\color{blue}{{\left(\left(b + c\right) + \left(a + d\right)\right)}^{3}}}}\right) \cdot 2\]

Runtime

Time bar (total: 1.0m)Debug logProfile

herbie shell --seed '#(1070991898 1055468627 4280279443 640792587 928206309 3646738750)' 
(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))