\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 37.9 s
Input Error: 17.9
Output Error: 2.3
Log: ⚲
Profile: 🕒
\(\frac{x}{1} \cdot \left(e^{\log a \cdot \left(t - 1.0\right) - b} \cdot \frac{{z}^{y}}{y}\right)\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    17.9
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    9.6
  3. Using strategy rm
    9.6
  4. Applied *-un-lft-identity to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{1 \cdot {a}^{\left(t - 1.0\right)}}}}\]
    9.6
  5. Applied *-un-lft-identity to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{1 \cdot \frac{y}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}\]
    9.6
  6. Applied times-frac to get
    \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{1 \cdot \frac{y}{{z}^{y}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{1}{1} \cdot \frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    9.6
  7. Applied div-inv to get
    \[\frac{\color{red}{\frac{x}{e^{b}}}}{\frac{1}{1} \cdot \frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\color{blue}{x \cdot \frac{1}{e^{b}}}}{\frac{1}{1} \cdot \frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
    9.6
  8. Applied times-frac to get
    \[\color{red}{\frac{x \cdot \frac{1}{e^{b}}}{\frac{1}{1} \cdot \frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \color{blue}{\frac{x}{\frac{1}{1}} \cdot \frac{\frac{1}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    9.6
  9. Applied simplify to get
    \[\color{red}{\frac{x}{\frac{1}{1}}} \cdot \frac{\frac{1}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \color{blue}{\frac{x}{1}} \cdot \frac{\frac{1}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
    9.6
  10. Applied simplify to get
    \[\frac{x}{1} \cdot \color{red}{\frac{\frac{1}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{x}{1} \cdot \color{blue}{\left(\frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \cdot \frac{{z}^{y}}{y}\right)}\]
    8.1
  11. Using strategy rm
    8.1
  12. Applied pow-to-exp to get
    \[\frac{x}{1} \cdot \left(\frac{\color{red}{{a}^{\left(t - 1.0\right)}}}{e^{b}} \cdot \frac{{z}^{y}}{y}\right) \leadsto \frac{x}{1} \cdot \left(\frac{\color{blue}{e^{\log a \cdot \left(t - 1.0\right)}}}{e^{b}} \cdot \frac{{z}^{y}}{y}\right)\]
    8.7
  13. Applied div-exp to get
    \[\frac{x}{1} \cdot \left(\color{red}{\frac{e^{\log a \cdot \left(t - 1.0\right)}}{e^{b}}} \cdot \frac{{z}^{y}}{y}\right) \leadsto \frac{x}{1} \cdot \left(\color{blue}{e^{\log a \cdot \left(t - 1.0\right) - b}} \cdot \frac{{z}^{y}}{y}\right)\]
    2.3

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))