Error

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 fma-neg0.1

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

5. Applied associate-*r*0.1

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

6. Taylor expanded around inf 0.1

   \[\leadsto (0.954929658551372 \cdot x + \left(-\color{blue}{0.12900613773279798 \cdot {x}^{3}}\right))_*\]

7. Final simplification0.1

   \[\leadsto (0.954929658551372 \cdot x + \left({x}^{3} \cdot \left(-0.12900613773279798\right)\right))_*\]

Runtime

Time bar (total: 9.3s)Debug logProfile

herbie shell --seed 2018273 +o rules:numerics
(FPCore (x)
  :name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))