\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 22.0 s
Input Error: 27.6
Output Error: 0
Log: ⚲
Profile: 🕒
\({0}^2\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    27.6
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
    25.4
  3. Using strategy rm
    25.4
  4. Applied add-sqr-sqrt to get
    \[\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \color{red}{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \color{blue}{{\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}\]
    26.4
  5. Applied add-sqr-sqrt to get
    \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2 \leadsto \color{blue}{{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}}\right)}^2} \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2\]
    27.2
  6. Applied square-unprod to get
    \[\color{red}{{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}}\right)}^2 \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2} \leadsto \color{blue}{{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}} \cdot \sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}\]
    27.2
  7. Applied taylor to get
    \[{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}} \cdot \sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2 \leadsto {0}^2\]
    0
  8. Taylor expanded around inf to get
    \[{\color{red}{0}}^2 \leadsto {\color{blue}{0}}^2\]
    0
  9. Applied simplify to get
    \[{0}^2 \leadsto {0}^2\]
    0
  10. Applied final simplification

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))