\[\frac{x}{x + y \cdot e^{2.0 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5.0}{6.0}\right) - \frac{2.0}{t \cdot 3.0}\right)\right)}}\]
Test:
Numeric.SpecFunctions:invIncompleteBetaWorker 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
Bits error versus c
Time: 19.0 s
Input Error: 14.3
Output Error: 2.6
Log: ⚲
Profile: 🕒
\(\frac{x}{(\left({\left(e^{2.0}\right)}^{\left((\left(\frac{z}{t}\right) * \left(\sqrt{t + a}\right) + \left(\left(0.8333333333333334 + a\right) \cdot c\right))_* - b \cdot a\right)}\right) * y + x)_*}\)
  1. Started with
    \[\frac{x}{x + y \cdot e^{2.0 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5.0}{6.0}\right) - \frac{2.0}{t \cdot 3.0}\right)\right)}}\]
    14.3
  2. Applied simplify to get
    \[\color{red}{\frac{x}{x + y \cdot e^{2.0 \cdot \left(\frac{z \cdot \sqrt{t + a}}{t} - \left(b - c\right) \cdot \left(\left(a + \frac{5.0}{6.0}\right) - \frac{2.0}{t \cdot 3.0}\right)\right)}}} \leadsto \color{blue}{\frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \left(\left(\frac{5.0}{6.0} + a\right) - \frac{2.0}{3.0 \cdot t}\right) \cdot \left(b - c\right)\right)}\right) * y + x)_*}}\]
    13.4
  3. Applied taylor to get
    \[\frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \left(\left(\frac{5.0}{6.0} + a\right) - \frac{2.0}{3.0 \cdot t}\right) \cdot \left(b - c\right)\right)}\right) * y + x)_*} \leadsto \frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \left(b \cdot a - \left(0.8333333333333334 \cdot c + c \cdot a\right)\right)\right)}\right) * y + x)_*}\]
    2.8
  4. Taylor expanded around inf to get
    \[\frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \color{red}{\left(b \cdot a - \left(0.8333333333333334 \cdot c + c \cdot a\right)\right)}\right)}\right) * y + x)_*} \leadsto \frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \color{blue}{\left(b \cdot a - \left(0.8333333333333334 \cdot c + c \cdot a\right)\right)}\right)}\right) * y + x)_*}\]
    2.8
  5. Applied simplify to get
    \[\color{red}{\frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{a + t}}{\frac{t}{z}} - \left(b \cdot a - \left(0.8333333333333334 \cdot c + c \cdot a\right)\right)\right)}\right) * y + x)_*}} \leadsto \color{blue}{\frac{x}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{t + a}}{\frac{t}{z}} - \left(a \cdot b - c \cdot \left(0.8333333333333334 + a\right)\right)\right)}\right) * y + x)_*}}\]
    2.8
  6. Applied simplify to get
    \[\frac{x}{\color{red}{(\left({\left(e^{2.0}\right)}^{\left(\frac{\sqrt{t + a}}{\frac{t}{z}} - \left(a \cdot b - c \cdot \left(0.8333333333333334 + a\right)\right)\right)}\right) * y + x)_*}} \leadsto \frac{x}{\color{blue}{(\left({\left(e^{2.0}\right)}^{\left((\left(\frac{z}{t}\right) * \left(\sqrt{t + a}\right) + \left(\left(0.8333333333333334 + a\right) \cdot c\right))_* - b \cdot a\right)}\right) * y + x)_*}}\]
    2.6

Original test:


(lambda ((x default) (y default) (z default) (t default) (a default) (b default) (c default))
  #:name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2"
  (/ x (+ x (* y (exp (* 2.0 (- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))))))