\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 34.4 s
Input Error: 48.2
Output Error: 0.6
Log: ⚲
Profile: 🕒
\(\log \left({\left({\left(e^{\frac{x}{y}}\right)}^{\left({a}^{\left(t - 1.0\right)}\right)}\right)}^{\left(\frac{{z}^{y}}{e^{b}}\right)}\right)\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    48.2
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
    35.0
  3. Using strategy rm
    35.0
  4. Applied associate-*l/ to get
    \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
    35.0
  5. Applied associate-*l/ to get
    \[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}{y}}\]
    32.4
  6. Using strategy rm
    32.4
  7. Applied pow-to-exp to get
    \[\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{red}{{a}^{\left(t - 1.0\right)}}}{e^{b}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{blue}{e^{\log a \cdot \left(t - 1.0\right)}}}{e^{b}}}{y}\]
    47.3
  8. Applied div-exp to get
    \[\frac{\left(x \cdot {z}^{y}\right) \cdot \color{red}{\frac{e^{\log a \cdot \left(t - 1.0\right)}}{e^{b}}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \color{blue}{e^{\log a \cdot \left(t - 1.0\right) - b}}}{y}\]
    45.2
  9. Using strategy rm
    45.2
  10. Applied add-log-exp to get
    \[\color{red}{\frac{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}{y}} \leadsto \color{blue}{\log \left(e^{\frac{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}{y}}\right)}\]
    45.5
  11. Applied simplify to get
    \[\log \color{red}{\left(e^{\frac{\left(x \cdot {z}^{y}\right) \cdot e^{\log a \cdot \left(t - 1.0\right) - b}}{y}}\right)} \leadsto \log \color{blue}{\left({\left({\left(e^{\frac{x}{y}}\right)}^{\left({a}^{\left(t - 1.0\right)}\right)}\right)}^{\left(\frac{{z}^{y}}{e^{b}}\right)}\right)}\]
    0.6

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))