Average Error: 1.0 → 0.0
Time: 17.1s
Precision: 64
Internal precision: 128
\[\frac{4}{\left(\left(3 \cdot \pi\right) \cdot \left(1 - {v}^2\right)\right) \cdot \sqrt{2 - 6 \cdot {v}^2}}\]
⬇
\[\frac{\frac{4}{\left(3 \cdot \pi\right) \cdot \left(1 - {v}^2\right)}}{\sqrt{2 - 6 \cdot {v}^2}}\]

Error

Bits error versus v

Derivation

  1. Initial program 1.0

    \[\frac{4}{\left(\left(3 \cdot \pi\right) \cdot \left(1 - {v}^2\right)\right) \cdot \sqrt{2 - 6 \cdot {v}^2}}\]
  2. Using strategy rm

  3. Applied associate-/r* 0.0

    \[\leadsto \color{blue}{\frac{\frac{4}{\left(3 \cdot \pi\right) \cdot \left(1 - {v}^2\right)}}{\sqrt{2 - 6 \cdot {v}^2}}}\]
  4. Removed slow pow expressions

Runtime

Time bar (total: 17.1s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(2028675284 3459727322 396835252 2455251187 1618931695 1467100310)'
(FPCore (v)
  :name "Falkner and Boettcher, Equation (22+)"
  (/ 4 (* (* (* 3 PI) (- 1 (sqr v))) (sqrt (- 2 (* 6 (sqr v)))))))