\[x \cdot \left(x \cdot x\right) + x \cdot x\]
Test:
Expression 3, p15
Bits:
128 bits
Bits error versus x
Time: 7.1 s
Input Error: 0.1
Output Error: 0.1
Log: ⚲
Profile: 🕒
\((e^{\log_* (1 + (\left({x}^2\right) * x + \left({x}^2\right))_*)} - 1)^*\)
  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 expm1-log1p-u to get
    \[\color{red}{(\left({x}^2\right) * x + \left({x}^2\right))_*} \leadsto \color{blue}{(e^{\log_* (1 + (\left({x}^2\right) * x + \left({x}^2\right))_*)} - 1)^*}\]
    0.1

Original test:


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