\[\frac{x - \sin x}{x - \tan x}\]
Test:
NMSE problem 3.4.5
Bits:
128 bits
Bits error versus x
Time: 16.4 s
Input Error: 31.3
Output Error: 31.2
Log: ⚲
Profile: 🕒
\(\frac{x}{x - \tan x} - \frac{\sin x}{x - \tan x}\)
  1. Started with
    \[\frac{x - \sin x}{x - \tan x}\]
    31.3
  2. Using strategy rm
    31.3
  3. Applied div-sub to get
    \[\color{red}{\frac{x - \sin x}{x - \tan x}} \leadsto \color{blue}{\frac{x}{x - \tan x} - \frac{\sin x}{x - \tan x}}\]
    31.2

Original test:


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