Error

Target

Derivation

1. Initial program 0.1

   \[\left(x \cdot x\right) \cdot x\]
2. Using strategy rm

3. Applied pow10.1

   \[\leadsto \left(x \cdot x\right) \cdot \color{blue}{{x}^{1}}\]

4. Applied pow10.1

   \[\leadsto \left(x \cdot \color{blue}{{x}^{1}}\right) \cdot {x}^{1}\]

5. Applied pow10.1

   \[\leadsto \left(\color{blue}{{x}^{1}} \cdot {x}^{1}\right) \cdot {x}^{1}\]

6. Applied pow-prod-up0.1

   \[\leadsto \color{blue}{{x}^{\left(1 + 1\right)}} \cdot {x}^{1}\]

7. Applied pow-prod-up0

   \[\leadsto \color{blue}{{x}^{\left(\left(1 + 1\right) + 1\right)}}\]

8. Simplified0

   \[\leadsto {x}^{\color{blue}{3}}\]

9. Final simplification0

   \[\leadsto {x}^{3}\]

Reproduce

herbie shell --seed 2019091 
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))