\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 37.8 s
Input Error: 13.1
Output Error: 3.4
Log: ⚲
Profile: 🕒
\(\frac{1}{y} \cdot \left(\left(\frac{x}{e^{b}} \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}\right)\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    13.1
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    3.3
  3. Using strategy rm
    3.3
  4. Applied *-un-lft-identity to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{1 \cdot {a}^{\left(t - 1.0\right)}}}}\]
    3.3
  5. Applied div-inv to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{y \cdot \frac{1}{{z}^{y}}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}\]
    3.3
  6. Applied times-frac to get
    \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{y \cdot \frac{1}{{z}^{y}}}{1 \cdot {a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    3.3
  7. Applied *-un-lft-identity to get
    \[\frac{\color{red}{\frac{x}{e^{b}}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \frac{\color{blue}{1 \cdot \frac{x}{e^{b}}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
    3.3
  8. Applied times-frac to get
    \[\color{red}{\frac{1 \cdot \frac{x}{e^{b}}}{\frac{y}{1} \cdot \frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \color{blue}{\frac{1}{\frac{y}{1}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    3.4
  9. Applied simplify to get
    \[\color{red}{\frac{1}{\frac{y}{1}}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}} \leadsto \color{blue}{\frac{1}{y}} \cdot \frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}\]
    3.4
  10. Applied simplify to get
    \[\frac{1}{y} \cdot \color{red}{\frac{\frac{x}{e^{b}}}{\frac{\frac{1}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{1}{y} \cdot \color{blue}{\left(\left(\frac{x}{e^{b}} \cdot {z}^{y}\right) \cdot {a}^{\left(t - 1.0\right)}\right)}\]
    3.4

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))