\[x \cdot \left(x \cdot x\right) + x \cdot x\]
Test:
Expression 3, p15
Bits:
128 bits
Bits error versus x
Time: 5.7 s
Input Error: 0.1
Output Error: 0.1
Log: ⚲
Profile: 🕒
\(x \cdot (x * x + x)_*\)
  1. Started with
    \[x \cdot \left(x \cdot x\right) + x \cdot x\]
    0.1
  2. Applied simplify to get
    \[\color{red}{x \cdot \left(x \cdot x\right) + x \cdot x} \leadsto \color{blue}{(\left({x}^2\right) * x + \left({x}^2\right))_*}\]
    0.1
  3. Using strategy rm
    0.1
  4. Applied fma-udef to get
    \[\color{red}{(\left({x}^2\right) * x + \left({x}^2\right))_*} \leadsto \color{blue}{{x}^2 \cdot x + {x}^2}\]
    0.1
  5. Applied simplify to get
    \[\color{red}{{x}^2 \cdot x} + {x}^2 \leadsto \color{blue}{{x}^3} + {x}^2\]
    0.1
  6. Using strategy rm
    0.1
  7. Applied square-mult to get
    \[{x}^3 + \color{red}{{x}^2} \leadsto {x}^3 + \color{blue}{x \cdot x}\]
    0.1
  8. Applied cube-mult to get
    \[\color{red}{{x}^3} + x \cdot x \leadsto \color{blue}{x \cdot \left(x \cdot x\right)} + x \cdot x\]
    0.1
  9. Applied distribute-lft-out to get
    \[\color{red}{x \cdot \left(x \cdot x\right) + x \cdot x} \leadsto \color{blue}{x \cdot \left(x \cdot x + x\right)}\]
    0.1
  10. Applied simplify to get
    \[x \cdot \color{red}{\left(x \cdot x + x\right)} \leadsto x \cdot \color{blue}{(x * x + x)_*}\]
    0.1
  11. Removed slow pow expressions

Original test:


(lambda ((x default))
  #:name "Expression 3, p15"
  (+ (* x (* x x)) (* x x))
  #:target
  (* (* (+ 1.0 x) x) x))