\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
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: 28.0 s
Input Error: 51.1
Output Error: 0.3
Log: ⚲
Profile: 🕒
\(\begin{cases} 0 & \text{when } y \le -5.034200074427852 \cdot 10^{-17} \\ \frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{\left(\sqrt{{a}^{\left(t - 1.0\right)}}\right)}^2}{e^{b}}}{y} & \text{when } y \le 1.056409627336283 \cdot 10^{-41} \\ 0 & \text{otherwise} \end{cases}\)

    if y < -5.034200074427852e-17 or 1.056409627336283e-41 < y

    1. Started with
      \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
      55.2
    2. Applied simplify to get
      \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
      47.0
    3. Using strategy rm
      47.0
    4. Applied add-sqr-sqrt to get
      \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}}\right)}^2} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
      47.4
    5. Applied taylor to get
      \[{\left(\sqrt{\frac{x}{y} \cdot {z}^{y}}\right)}^2 \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto 0\]
      0
    6. Taylor expanded around inf to get
      \[\color{red}{0} \leadsto \color{blue}{0}\]
      0
    7. Applied simplify to get
      \[0 \leadsto 0\]
      0
    8. Applied final simplification

    if -5.034200074427852e-17 < y < 1.056409627336283e-41

    1. Started with
      \[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
      20.3
    2. Applied simplify to get
      \[\color{red}{\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}} \leadsto \color{blue}{\left(\frac{x}{y} \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}\]
      15.8
    3. Using strategy rm
      15.8
    4. Applied associate-*l/ to get
      \[\color{red}{\left(\frac{x}{y} \cdot {z}^{y}\right)} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}} \leadsto \color{blue}{\frac{x \cdot {z}^{y}}{y}} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}\]
      15.8
    5. Applied associate-*l/ to get
      \[\color{red}{\frac{x \cdot {z}^{y}}{y} \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}} \leadsto \color{blue}{\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{{a}^{\left(t - 1.0\right)}}{e^{b}}}{y}}\]
      2.1
    6. Using strategy rm
      2.1
    7. Applied add-sqr-sqrt to get
      \[\frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{red}{{a}^{\left(t - 1.0\right)}}}{e^{b}}}{y} \leadsto \frac{\left(x \cdot {z}^{y}\right) \cdot \frac{\color{blue}{{\left(\sqrt{{a}^{\left(t - 1.0\right)}}\right)}^2}}{e^{b}}}{y}\]
      2.2
  1. Removed slow pow expressions

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))