Average Error: 0.4 → 0.4
Time: 47.6s
Precision: 64
Internal precision: 128
\[\frac{1 - 5 \cdot {v}^2}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot {v}^2\right)}\right) \cdot \left(1 - {v}^2\right)}\]
⬇
\[\frac{1 - 5 \cdot {v}^2}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot {v}^2\right)}\right) \cdot \left(1 - {v}^2\right)}\]

Error

Bits error versus v

Bits error versus t

Derivation

  1. Initial program 0.4

    \[\frac{1 - 5 \cdot {v}^2}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot {v}^2\right)}\right) \cdot \left(1 - {v}^2\right)}\]
  2. Removed slow pow expressions

Runtime

Time bar (total: 47.6s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(1253721671 2830718124 374025771 3117483727 3838258408 45166025)'
(FPCore (v t)
  :name "Falkner and Boettcher, Equation (20:1,3)"
  (/ (- 1 (* 5 (sqr v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (sqr v)))))) (- 1 (sqr v)))))