\[\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]

⬇

\[\left(\left(\left(x + y\right) + z\right) - {\left(\sqrt[3]{z \cdot \log t}\right)}^{3}\right) + \left(a - 0.5\right) \cdot b\]

Error

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

Target

Original	0.1
Comparison	0.3
Herbie	0.3

\[ \left(\left(x + y\right) + \frac{\left(1 - {\left(\log t\right)}^2\right) \cdot z}{1 + \log t}\right) + \left(a - 0.5\right) \cdot b \]

Derivation

Initial program 0.1
\[\left(\left(\left(x + y\right) + z\right) - z \cdot \log t\right) + \left(a - 0.5\right) \cdot b\]
Using strategy rm
Applied add-cube-cbrt 0.3
\[\leadsto \left(\left(\left(x + y\right) + z\right) - \color{blue}{{\left(\sqrt[3]{z \cdot \log t}\right)}^3}\right) + \left(a - 0.5\right) \cdot b\]
Using strategy rm
Applied pow3 0.3
\[\leadsto \left(\left(\left(x + y\right) + z\right) - \color{blue}{{\left(\sqrt[3]{z \cdot \log t}\right)}^{3}}\right) + \left(a - 0.5\right) \cdot b\]
Removed slow pow expressions

Runtime

Please include this information when filing a bug report:

herbie --seed '#(3661209896 2363890549 2768140330 1270948359 2836456106 3979902994)'
(FPCore (x y z t a b)
  :name "Numeric.SpecFunctions:logBeta from math-functions-0.1.5.2, A"

  :target
  (+ (+ (+ x y) (/ (* (- 1 (sqr (log t))) z) (+ 1 (log t)))) (* (- a 0.5) b))

  (+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b)))