\[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
Test:
Rosa's Benchmark
Bits:
128 bits
Bits error versus x
Time: 6.5 s
Input Error: 0.4
Output Error: 0.2
Log: ⚲
Profile: 🕒
\(x \cdot 0.954929658551372 - \left({\left(0.12900613773279798 \cdot x\right)}^{1} \cdot x\right) \cdot x\)
  1. Started with
    \[0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)\]
    0.4
  2. Applied simplify to get
    \[\color{red}{0.954929658551372 \cdot x - 0.12900613773279798 \cdot \left(\left(x \cdot x\right) \cdot x\right)} \leadsto \color{blue}{x \cdot 0.954929658551372 - 0.12900613773279798 \cdot {x}^3}\]
    0.4
  3. Using strategy rm
    0.4
  4. Applied cube-mult to get
    \[x \cdot 0.954929658551372 - 0.12900613773279798 \cdot \color{red}{{x}^3} \leadsto x \cdot 0.954929658551372 - 0.12900613773279798 \cdot \color{blue}{\left(x \cdot \left(x \cdot x\right)\right)}\]
    0.4
  5. Applied associate-*r* to get
    \[x \cdot 0.954929658551372 - \color{red}{0.12900613773279798 \cdot \left(x \cdot \left(x \cdot x\right)\right)} \leadsto x \cdot 0.954929658551372 - \color{blue}{\left(0.12900613773279798 \cdot x\right) \cdot \left(x \cdot x\right)}\]
    0.2
  6. Using strategy rm
    0.2
  7. Applied associate-*r* to get
    \[x \cdot 0.954929658551372 - \color{red}{\left(0.12900613773279798 \cdot x\right) \cdot \left(x \cdot x\right)} \leadsto x \cdot 0.954929658551372 - \color{blue}{\left(\left(0.12900613773279798 \cdot x\right) \cdot x\right) \cdot x}\]
    0.2
  8. Using strategy rm
    0.2
  9. Applied pow1 to get
    \[x \cdot 0.954929658551372 - \left(\color{red}{\left(0.12900613773279798 \cdot x\right)} \cdot x\right) \cdot x \leadsto x \cdot 0.954929658551372 - \left(\color{blue}{{\left(0.12900613773279798 \cdot x\right)}^{1}} \cdot x\right) \cdot x\]
    0.2
  10. Removed slow pow expressions

Original test:


(lambda ((x default))
  #:name "Rosa's Benchmark"
  (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))