\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 43.4 s
Input Error: 29.5
Output Error: 1.0
Log: ⚲
Profile: 🕒
\({\left(\frac{\sqrt[3]{\frac{x}{e^{b}}}}{\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{\left(\sqrt{{a}^{\left(t - 1.0\right)}}\right)}^2}}}\right)}^3\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    29.5
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{{a}^{\left(t - 1.0\right)}}}}\]
    2.6
  3. Using strategy rm
    2.6
  4. Applied add-cube-cbrt to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{red}{{a}^{\left(t - 1.0\right)}}}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\frac{y}{{z}^{y}}}{\color{blue}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}}}\]
    2.7
  5. Applied add-cube-cbrt to get
    \[\frac{\frac{x}{e^{b}}}{\frac{\color{red}{\frac{y}{{z}^{y}}}}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}} \leadsto \frac{\frac{x}{e^{b}}}{\frac{\color{blue}{{\left(\sqrt[3]{\frac{y}{{z}^{y}}}\right)}^3}}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}}\]
    2.8
  6. Applied cube-undiv to get
    \[\frac{\frac{x}{e^{b}}}{\color{red}{\frac{{\left(\sqrt[3]{\frac{y}{{z}^{y}}}\right)}^3}{{\left(\sqrt[3]{{a}^{\left(t - 1.0\right)}}\right)}^3}}} \leadsto \frac{\frac{x}{e^{b}}}{\color{blue}{{\left(\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{a}^{\left(t - 1.0\right)}}}\right)}^3}}\]
    2.8
  7. Applied add-cube-cbrt to get
    \[\frac{\color{red}{\frac{x}{e^{b}}}}{{\left(\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{a}^{\left(t - 1.0\right)}}}\right)}^3} \leadsto \frac{\color{blue}{{\left(\sqrt[3]{\frac{x}{e^{b}}}\right)}^3}}{{\left(\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{a}^{\left(t - 1.0\right)}}}\right)}^3}\]
    2.8
  8. Applied cube-undiv to get
    \[\color{red}{\frac{{\left(\sqrt[3]{\frac{x}{e^{b}}}\right)}^3}{{\left(\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{a}^{\left(t - 1.0\right)}}}\right)}^3}} \leadsto \color{blue}{{\left(\frac{\sqrt[3]{\frac{x}{e^{b}}}}{\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{{a}^{\left(t - 1.0\right)}}}}\right)}^3}\]
    1.0
  9. Using strategy rm
    1.0
  10. Applied add-sqr-sqrt to get
    \[{\left(\frac{\sqrt[3]{\frac{x}{e^{b}}}}{\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{\color{red}{{a}^{\left(t - 1.0\right)}}}}}\right)}^3 \leadsto {\left(\frac{\sqrt[3]{\frac{x}{e^{b}}}}{\frac{\sqrt[3]{\frac{y}{{z}^{y}}}}{\sqrt[3]{\color{blue}{{\left(\sqrt{{a}^{\left(t - 1.0\right)}}\right)}^2}}}}\right)}^3\]
    1.0

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))