\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
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: 20.3 s
Input Error: 11.5
Output Error: 4.6
Log: ⚲
Profile: 🕒
\(\begin{cases} a + \frac{y}{z} \cdot \left(x - a\right) & \text{when } z \le -1.856694460156845 \cdot 10^{+172} \\ \left(x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot a\right) + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right) & \text{when } z \le 3.159981482367044 \cdot 10^{+186} \\ a + \frac{y}{z} \cdot \left(x - a\right) & \text{otherwise} \end{cases}\)

    if z < -1.856694460156845e+172 or 3.159981482367044e+186 < z

    1. Started with
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
      32.2
    2. Applied taylor to get
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right) \leadsto \left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}\]
      11.6
    3. Taylor expanded around inf to get
      \[\color{red}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}} \leadsto \color{blue}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}}\]
      11.6
    4. Applied simplify to get
      \[\color{red}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}} \leadsto \color{blue}{a + \frac{y}{z} \cdot \left(x - a\right)}\]
      1.2

    if -1.856694460156845e+172 < z < 3.159981482367044e+186

    1. Started with
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
      5.6
    2. Using strategy rm
      5.6
    3. Applied sub-neg to get
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{red}{\left(a - x\right)} \leadsto x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{blue}{\left(a + \left(-x\right)\right)}\]
      5.6
    4. Applied distribute-lft-in to get
      \[x + \color{red}{\frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a + \left(-x\right)\right)} \leadsto x + \color{blue}{\left(\frac{y - z}{\left(t + 1.0\right) - z} \cdot a + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)\right)}\]
      5.6
    5. Applied associate-+r+ to get
      \[\color{red}{x + \left(\frac{y - z}{\left(t + 1.0\right) - z} \cdot a + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)\right)} \leadsto \color{blue}{\left(x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot a\right) + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)}\]
      5.6
  1. 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))))