\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
Test:
Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3
Bits:
128 bits
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Bits error versus a
Time: 14.4 s
Input Error: 9.9
Output Error: 8.2
Log: ⚲
Profile: 🕒
\(\left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + (\left(\frac{-z}{1.0 + \left(t - z\right)}\right) * \left(a - x\right) + x)_*\)
  1. Started with
    \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
    9.9
  2. Applied simplify to get
    \[\color{red}{x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)} \leadsto \color{blue}{(\left(a - x\right) * \left(\frac{y - z}{\left(1.0 + t\right) - z}\right) + x)_*}\]
    9.9
  3. Using strategy rm
    9.9
  4. Applied div-sub to get
    \[(\left(a - x\right) * \color{red}{\left(\frac{y - z}{\left(1.0 + t\right) - z}\right)} + x)_* \leadsto (\left(a - x\right) * \color{blue}{\left(\frac{y}{\left(1.0 + t\right) - z} - \frac{z}{\left(1.0 + t\right) - z}\right)} + x)_*\]
    9.9
  5. Using strategy rm
    9.9
  6. Applied fma-udef to get
    \[\color{red}{(\left(a - x\right) * \left(\frac{y}{\left(1.0 + t\right) - z} - \frac{z}{\left(1.0 + t\right) - z}\right) + x)_*} \leadsto \color{blue}{\left(a - x\right) \cdot \left(\frac{y}{\left(1.0 + t\right) - z} - \frac{z}{\left(1.0 + t\right) - z}\right) + x}\]
    9.9
  7. Using strategy rm
    9.9
  8. Applied sub-neg to get
    \[\left(a - x\right) \cdot \color{red}{\left(\frac{y}{\left(1.0 + t\right) - z} - \frac{z}{\left(1.0 + t\right) - z}\right)} + x \leadsto \left(a - x\right) \cdot \color{blue}{\left(\frac{y}{\left(1.0 + t\right) - z} + \left(-\frac{z}{\left(1.0 + t\right) - z}\right)\right)} + x\]
    9.9
  9. Applied distribute-lft-in to get
    \[\color{red}{\left(a - x\right) \cdot \left(\frac{y}{\left(1.0 + t\right) - z} + \left(-\frac{z}{\left(1.0 + t\right) - z}\right)\right)} + x \leadsto \color{blue}{\left(\left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + \left(a - x\right) \cdot \left(-\frac{z}{\left(1.0 + t\right) - z}\right)\right)} + x\]
    9.9
  10. Applied associate-+l+ to get
    \[\color{red}{\left(\left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + \left(a - x\right) \cdot \left(-\frac{z}{\left(1.0 + t\right) - z}\right)\right) + x} \leadsto \color{blue}{\left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + \left(\left(a - x\right) \cdot \left(-\frac{z}{\left(1.0 + t\right) - z}\right) + x\right)}\]
    8.2
  11. Applied simplify to get
    \[\left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + \color{red}{\left(\left(a - x\right) \cdot \left(-\frac{z}{\left(1.0 + t\right) - z}\right) + x\right)} \leadsto \left(a - x\right) \cdot \frac{y}{\left(1.0 + t\right) - z} + \color{blue}{(\left(\frac{-z}{1.0 + \left(t - z\right)}\right) * \left(a - x\right) + x)_*}\]
    8.2
  12. Removed slow pow expressions

Original test:


(lambda ((x default) (y default) (z default) (t default) (a default))
  #:name "Hakyll.Web.Tags:renderTagCloud from hakyll-4.7.2.3"
  (+ x (* (/ (- y z) (- (+ t 1.0) z)) (- a x))))