\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 12.7 s
Input Error: 55.8
Output Error: 0
Log: ⚲
Profile: 🕒
\(0\)
  1. Started with
    \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
    55.8
  2. Applied simplify to get
    \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
    50.7
  3. Using strategy rm
    50.7
  4. Applied associate-*l/ to get
    \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
    50.7
  5. Applied associate-*l/ to get
    \[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}{y}}\]
    49.2
  6. Using strategy rm
    49.2
  7. Applied add-sqr-sqrt to get
    \[\frac{\left(x \cdot {z}^{y}\right) \cdot \color{red}{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \color{blue}{{\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}}{y}\]
    51.4
  8. Applied add-sqr-sqrt to get
    \[\frac{\color{red}{\left(x \cdot {z}^{y}\right)} \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}{y} \leadsto \frac{\color{blue}{{\left(\sqrt{x \cdot {z}^{y}}\right)}^2} \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}{y}\]
    54.0
  9. Applied square-unprod to get
    \[\frac{\color{red}{{\left(\sqrt{x \cdot {z}^{y}}\right)}^2 \cdot {\left(\sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}}{y} \leadsto \frac{\color{blue}{{\left(\sqrt{x \cdot {z}^{y}} \cdot \sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}}{y}\]
    54.0
  10. Applied taylor to get
    \[\frac{{\left(\sqrt{x \cdot {z}^{y}} \cdot \sqrt{\frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\right)}^2}{y} \leadsto \frac{0}{y}\]
    0
  11. Taylor expanded around 0 to get
    \[\frac{\color{red}{0}}{y} \leadsto \frac{\color{blue}{0}}{y}\]
    0
  12. Applied simplify to get
    \[\frac{0}{y} \leadsto 0\]
    0
  13. 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))