\[e^{a \cdot x} - 1\]
Test:
NMSE section 3.5
Bits:
128 bits
Bits error versus a
Bits error versus x
Time: 5.1 s
Input Error: 12.4
Output Error: 12.4
Log: ⚲
Profile: 🕒
\({\left({\left(\sqrt[3]{\sqrt[3]{e^{a \cdot x} - 1}}\right)}^3\right)}^3\)
  1. Started with
    \[e^{a \cdot x} - 1\]
    12.4
  2. Using strategy rm
    12.4
  3. Applied add-cube-cbrt to get
    \[\color{red}{e^{a \cdot x} - 1} \leadsto \color{blue}{{\left(\sqrt[3]{e^{a \cdot x} - 1}\right)}^3}\]
    12.4
  4. Using strategy rm
    12.4
  5. Applied add-cube-cbrt to get
    \[{\color{red}{\left(\sqrt[3]{e^{a \cdot x} - 1}\right)}}^3 \leadsto {\color{blue}{\left({\left(\sqrt[3]{\sqrt[3]{e^{a \cdot x} - 1}}\right)}^3\right)}}^3\]
    12.4

Original test:


(lambda ((a default) (x default))
  #:name "NMSE section 3.5"
  (- (exp (* a x)) 1)
  #:target
  (if (< (fabs (* a x)) 1/10) (* (* a x) (+ 1 (+ (/ (* a x) 2) (/ (sqr (* a x)) 6)))) (- (exp (* a x)) 1)))