\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
Test:
Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2
Bits:
128 bits
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Bits error versus a
Bits error versus b
Time: 35.2 s
Input Error: 44.9
Output Error: 0.6
Log: ⚲
Profile: 🕒
\(\begin{cases} \frac{\log \left({\left({\left(e^{x}\right)}^{\left({z}^{y}\right)}\right)}^{\left(\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\right)}\right)}{y} & \text{when } y \cdot \log z \le -2.088979560469434 \cdot 10^{+35} \\ \frac{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}{y} & \text{when } y \cdot \log z \le 5.102576958075535 \cdot 10^{-07} \\ \frac{\log \left({\left({\left(e^{x}\right)}^{\left({z}^{y}\right)}\right)}^{\left(\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\right)}\right)}{y} & \text{otherwise} \end{cases}\)

    if (* y (log z)) < -2.088979560469434e+35 or 5.102576958075535e-07 < (* y (log z))

    1. Started with
      \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
      38.8
    2. Applied simplify to get
      \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
      35.7
    3. Using strategy rm
      35.7
    4. Applied associate-*l/ to get
      \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
      35.7
    5. Applied associate-*l/ to get
      \[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}{y}}\]
      35.7
    6. Using strategy rm
      35.7
    7. Applied pow-to-exp to get
      \[\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{red}{{a}^{\left(t - 1.0\right)}}}{e^{b}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{blue}{e^{\log a \cdot \left(t - 1.0\right)}}}{e^{b}}}{y}\]
      49.2
    8. Applied div-exp to get
      \[\frac{\left(x \cdot {z}^{y}\right) \cdot \color{red}{\frac{e^{\log a \cdot \left(t - 1.0\right)}}{e^{b}}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \color{blue}{e^{\log a \cdot \left(t - 1.0\right) - b}}}{y}\]
      47.6
    9. Using strategy rm
      47.6
    10. Applied add-log-exp to get
      \[\frac{\color{red}{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}}{y} \leadsto \frac{\color{blue}{\log \left(e^{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}\right)}}{y}\]
      47.7
    11. Applied simplify to get
      \[\frac{\log \color{red}{\left(e^{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}\right)}}{y} \leadsto \frac{\log \color{blue}{\left({\left({\left(e^{x}\right)}^{\left({z}^{y}\right)}\right)}^{\left(\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\right)}\right)}}{y}\]
      0.2

    if -2.088979560469434e+35 < (* y (log z)) < 5.102576958075535e-07

    1. Started with
      \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
      48.0
    2. Applied simplify to get
      \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
      38.1
    3. Using strategy rm
      38.1
    4. Applied associate-*l/ to get
      \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
      38.1
    5. Applied associate-*l/ to get
      \[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}{y}}\]
      35.7
    6. Using strategy rm
      35.7
    7. Applied pow-to-exp to get
      \[\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{red}{{a}^{\left(t - 1.0\right)}}}{e^{b}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{blue}{e^{\log a \cdot \left(t - 1.0\right)}}}{e^{b}}}{y}\]
      43.0
    8. Applied div-exp to get
      \[\frac{\left(x \cdot {z}^{y}\right) \cdot \color{red}{\frac{e^{\log a \cdot \left(t - 1.0\right)}}{e^{b}}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \color{blue}{e^{\log a \cdot \left(t - 1.0\right) - b}}}{y}\]
      40.5
  1. Removed slow pow expressions

Original test:


(lambda ((x default) (y default) (z default) (t default) (a default) (b default))
  #:name "Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2"
  (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))