\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]

↓

\[\frac{{y}^{3} \cdot \left(z + x \cdot y\right) + \left(27464.7644705 \cdot \left(y \cdot y\right) + \left(t + y \cdot 230661.510616\right)\right)}{\left(i + c \cdot y\right) + \left(\left(y \cdot b\right) \cdot y + \left(a + y\right) \cdot {y}^{3}\right)}\]

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 28.0
\[\frac{\left(\left(\left(x \cdot y + z\right) \cdot y + 27464.7644705\right) \cdot y + 230661.510616\right) \cdot y + t}{\left(\left(\left(y + a\right) \cdot y + b\right) \cdot y + c\right) \cdot y + i}\]
Initial simplification28.3
\[\leadsto \frac{\left(\left(230661.510616 \cdot y + t\right) + \left(y \cdot y\right) \cdot 27464.7644705\right) + {y}^{3} \cdot \left(z + y \cdot x\right)}{\left(i + y \cdot c\right) + \left(\left(y + a\right) \cdot {y}^{3} + y \cdot \left(b \cdot y\right)\right)}\]
Final simplification28.3
\[\leadsto \frac{{y}^{3} \cdot \left(z + x \cdot y\right) + \left(27464.7644705 \cdot \left(y \cdot y\right) + \left(t + y \cdot 230661.510616\right)\right)}{\left(i + c \cdot y\right) + \left(\left(y \cdot b\right) \cdot y + \left(a + y\right) \cdot {y}^{3}\right)}\]

Runtime

herbie shell --seed 2018215 
(FPCore (x y z t a b c i)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2"
  (/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))