\[\frac{x - \sin x}{x - \tan x}\]
Test:
NMSE problem 3.4.5
Bits:
128 bits
Bits error versus x
Time: 20.2 s
Input Error: 31.6
Output Error: 31.6
Log:
Profile: 🕒
\(\log_* (1 + (e^{\frac{x - \sin x}{x - \tan x}} - 1)^*)\)
  1. Started with
    \[\frac{x - \sin x}{x - \tan x}\]
    31.6
  2. Using strategy rm
    31.6
  3. Applied log1p-expm1-u to get
    \[\color{red}{\frac{x - \sin x}{x - \tan x}} \leadsto \color{blue}{\log_* (1 + (e^{\frac{x - \sin x}{x - \tan x}} - 1)^*)}\]
    31.6

Original test:


(lambda ((x default))
  #:name "NMSE problem 3.4.5"
  (/ (- x (sin x)) (- x (tan x))))