\[\log \left(N + 1\right) - \log N\]
Test:
NMSE problem 3.3.6
Bits:
128 bits
Bits error versus N
Time: 2.7 s
Input Error: 18.7
Output Error: 16.5
Log: ⚲
Profile: 🕒
\(\log \left(\frac{N + 1}{N}\right)\)
  1. Started with
    \[\log \left(N + 1\right) - \log N\]
    18.7
  2. Using strategy rm
    18.7
  3. Applied diff-log to get
    \[\color{red}{\log \left(N + 1\right) - \log N} \leadsto \color{blue}{\log \left(\frac{N + 1}{N}\right)}\]
    16.5

Original test:


(lambda ((N default))
  #:name "NMSE problem 3.3.6"
  (- (log (+ N 1)) (log N)))