\[\left(a + \left(b + \left(c + d\right)\right)\right) \cdot 2\]
Test:
Expression, p6
Bits:
128 bits
Bits error versus a
Bits error versus b
Bits error versus c
Bits error versus d
Time: 4.6 s
Input Error: 3.7
Output Error: 2.8
Log: ⚲
Profile: 🕒
\((e^{\log_* (1 + \left(a + \left(\left(b + c\right) + d\right)\right))} - 1)^* \cdot 2\)
  1. Started with
    \[\left(a + \left(b + \left(c + d\right)\right)\right) \cdot 2\]
    3.7
  2. Using strategy rm
    3.7
  3. Applied associate-+r+ to get
    \[\left(a + \color{red}{\left(b + \left(c + d\right)\right)}\right) \cdot 2 \leadsto \left(a + \color{blue}{\left(\left(b + c\right) + d\right)}\right) \cdot 2\]
    2.8
  4. Using strategy rm
    2.8
  5. Applied expm1-log1p-u to get
    \[\color{red}{\left(a + \left(\left(b + c\right) + d\right)\right)} \cdot 2 \leadsto \color{blue}{(e^{\log_* (1 + \left(a + \left(\left(b + c\right) + d\right)\right))} - 1)^*} \cdot 2\]
    2.8

Original test:


(lambda ((a (uniform -14 -13)) (b (uniform -3 -2)) (c (uniform 3 3.5)) (d (uniform 12.5 13.5)))
  #:name "Expression, p6"
  (* (+ a (+ b (+ c d))) 2)
  #:target
  (+ (* (+ a b) 2) (* (+ c d) 2)))