\[\left|\frac{x + 4}{y} - \frac{x}{y} \cdot z\right|\]
Test:
fabs fraction 1
Bits:
128 bits
Bits error versus x
Bits error versus y
Bits error versus z
Time: 5.0 s
Input Error: 1.4
Output Error: 1.7
Log: ⚲
Profile: 🕒
\(\left|\frac{x + 4}{y} - {\left(\sqrt[3]{\frac{x}{y} \cdot z}\right)}^3\right|\)
  1. Started with
    \[\left|\frac{x + 4}{y} - \frac{x}{y} \cdot z\right|\]
    1.4
  2. Using strategy rm
    1.4
  3. Applied add-cube-cbrt to get
    \[\left|\frac{x + 4}{y} - \color{red}{\frac{x}{y} \cdot z}\right| \leadsto \left|\frac{x + 4}{y} - \color{blue}{{\left(\sqrt[3]{\frac{x}{y} \cdot z}\right)}^3}\right|\]
    1.7

Original test:


(lambda ((x default) (y default) (z default))
  #:name "fabs fraction 1"
  (fabs (- (/ (+ x 4) y) (* (/ x y) z))))