Average Error: 0.3 → 0.4
Time: 14.0s
Precision: 64
Internal precision: 384
\[\frac{4.0 \cdot x}{1 + \frac{x}{1.11}}\]
⬇
\[\left(4.0 \cdot x\right) \cdot \frac{1}{1 + \frac{x}{1.11}}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.3

    \[\frac{4.0 \cdot x}{1 + \frac{x}{1.11}}\]
  2. Using strategy rm

  3. Applied div-inv 0.4

    \[\leadsto \color{blue}{\left(4.0 \cdot x\right) \cdot \frac{1}{1 + \frac{x}{1.11}}}\]
  4. Removed slow pow expressions

Runtime

Time bar (total: 14.0s) Debug log

Please include this information when filing a bug report:

herbie shell --seed '#(3052192724 3812927732 3686175817 630908657 2373248591 511094450)'
(FPCore (x)
  :name "verhulst"
  :pre (<= 0.1 x 0.3)
  (/ (* 4.0 x) (+ 1 (/ x 1.11))))