\[e^{a \cdot x} - 1\]
Test:
NMSE section 3.5
Bits:
128 bits
Bits error versus a
Bits error versus x
Time: 4.6 s
Input Error: 29.6
Output Error: 0.0
Log: ⚲
Profile: 🕒
\((e^{x \cdot a} - 1)^*\)
  1. Started with
    \[e^{a \cdot x} - 1\]
    29.6
  2. Applied simplify to get
    \[\color{red}{e^{a \cdot x} - 1} \leadsto \color{blue}{(e^{x \cdot a} - 1)^*}\]
    0.0
  3. Removed slow pow expressions

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)))