\[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
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: 12.8 s
Input Error: 11.2
Output Error: 6.0
Log: ⚲
Profile: 🕒
\(\begin{cases} a + \frac{y}{z} \cdot \left(x - a\right) & \text{when } z \le -5.444236365430148 \cdot 10^{+124} \\ \left(x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot a\right) + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right) & \text{otherwise} \end{cases}\)

    if z < -5.444236365430148e+124

    1. Started with
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
      31.7
    2. Applied taylor to get
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right) \leadsto \left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}\]
      12.4
    3. Taylor expanded around inf to get
      \[\color{red}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}} \leadsto \color{blue}{\left(\frac{y \cdot x}{z} + a\right) - \frac{y \cdot a}{z}}\]
      12.4
    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 -5.444236365430148e+124 < z

    1. Started with
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a - x\right)\]
      7.0
    2. Using strategy rm
      7.0
    3. Applied sub-neg to get
      \[x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{red}{\left(a - x\right)} \leadsto x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \color{blue}{\left(a + \left(-x\right)\right)}\]
      7.0
    4. Applied distribute-lft-in to get
      \[x + \color{red}{\frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(a + \left(-x\right)\right)} \leadsto x + \color{blue}{\left(\frac{y - z}{\left(t + 1.0\right) - z} \cdot a + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)\right)}\]
      7.0
    5. Applied associate-+r+ to get
      \[\color{red}{x + \left(\frac{y - z}{\left(t + 1.0\right) - z} \cdot a + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)\right)} \leadsto \color{blue}{\left(x + \frac{y - z}{\left(t + 1.0\right) - z} \cdot a\right) + \frac{y - z}{\left(t + 1.0\right) - z} \cdot \left(-x\right)}\]
      7.0
  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))))