Error

Target

Derivation

1. Initial program 0.0

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

3. Applied add-cbrt-cube0.5

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

4. Applied add-cbrt-cube0.8

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

5. Applied cbrt-unprod0.5

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

6. Applied simplify0.5

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

7. Taylor expanded around 0 0.5

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

8. Applied simplify0.0

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

9. Applied simplify0.0

   \[\leadsto \color{blue}{b \cdot \left(a + a\right)} + \left(a \cdot a + b \cdot b\right)\]
10. Removed slow pow expressions.

Runtime

Time bar (total: 1.8m)Debug logProfile

herbie shell --seed '#(1063027428 1192549564 1443466578 604016274 3637110559 1698629644)' 
(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)))