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Derivation

1. Initial program 0.1

   \[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
2. Using strategy rm

3. Applied pow30.1

   \[\leadsto 0.954929658551372 \cdot x - 0.12900613773279798 \cdot \color{blue}{{x}^{3}}\]
4. Using strategy rm

5. Applied unpow30.1

   \[\leadsto 0.954929658551372 \cdot x - 0.12900613773279798 \cdot \color{blue}{\left(\left(x \cdot x\right) \cdot x\right)}\]

6. Applied associate-*r*0.1

   \[\leadsto 0.954929658551372 \cdot x - \color{blue}{\left(0.12900613773279798 \cdot \left(x \cdot x\right)\right) \cdot x}\]
7. Using strategy rm

8. Applied associate-*r*0.1

   \[\leadsto 0.954929658551372 \cdot x - \color{blue}{\left(\left(0.12900613773279798 \cdot x\right) \cdot x\right)} \cdot x\]

9. Final simplification0.1

   \[\leadsto 0.954929658551372 \cdot x - \left(x \cdot \left(0.12900613773279798 \cdot x\right)\right) \cdot x\]

Runtime

Time bar (total: 8.5s)Debug logProfile

herbie shell --seed 2018353 
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))