\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]

↓

\[\frac{x \cdot e^{\left(y \cdot \log z + \left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \log a\right)\right) - b}}{y}\]

Error

The X axis uses an exponential scale — Bits error versus `x`

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In
Out

Enter valid numbers for all inputs

Derivation

Initial program 2.0
\[\frac{x \cdot e^{\left(y \cdot \log z + \left(t - 1.0\right) \cdot \log a\right) - b}}{y}\]
Using strategy rm
Applied add-cube-cbrt2.0
\[\leadsto \frac{x \cdot e^{\left(y \cdot \log z + \color{blue}{\left(\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \sqrt[3]{t - 1.0}\right)} \cdot \log a\right) - b}}{y}\]
Applied associate-*l*2.0
\[\leadsto \frac{x \cdot e^{\left(y \cdot \log z + \color{blue}{\left(\sqrt[3]{t - 1.0} \cdot \sqrt[3]{t - 1.0}\right) \cdot \left(\sqrt[3]{t - 1.0} \cdot \log a\right)}\right) - b}}{y}\]

Runtime

herbie shell --seed 2018214 +o rules:numerics
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:incompleteBetaWorker from math-functions-0.1.5.2"
  (/ (* x (exp (- (+ (* y (log z)) (* (- t 1.0) (log a))) b))) y))