\[\left(-x \cdot \cot B\right) + \frac{1}{\sin B}\]
Test:
VandenBroeck and Keller, Equation (24)
Bits:
128 bits
Bits error versus B
Bits error versus x
Time: 3.0 s
Input Error: 0.1
Output Error: 0.1
Log: ⚲
Profile: 🕒
\(x \cdot \left(-\cot B\right) + \frac{1}{\sin B}\)
  1. Started with
    \[\left(-x \cdot \cot B\right) + \frac{1}{\sin B}\]
    0.1
  2. Applied simplify to get
    \[\color{red}{\left(-x \cdot \cot B\right) + \frac{1}{\sin B}} \leadsto \color{blue}{(x * \left(-\cot B\right) + \left(\frac{1}{\sin B}\right))_*}\]
    0.2
  3. Using strategy rm
    0.2
  4. Applied fma-udef to get
    \[\color{red}{(x * \left(-\cot B\right) + \left(\frac{1}{\sin B}\right))_*} \leadsto \color{blue}{x \cdot \left(-\cot B\right) + \frac{1}{\sin B}}\]
    0.1

Original test:


(lambda ((B default) (x default))
  #:name "VandenBroeck and Keller, Equation (24)"
  (+ (- (* x (cotan B))) (/ 1 (sin B))))