Error

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Derivation

1. Initial program 0.4

   \[\frac{1 - 5 \cdot \left(v \cdot v\right)}{\left(\left(\pi \cdot t\right) \cdot \sqrt{2 \cdot \left(1 - 3 \cdot \left(v \cdot v\right)\right)}\right) \cdot \left(1 - v \cdot v\right)}\]

2. Initial simplification0.3

   \[\leadsto \frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2} \cdot \left(t \cdot \left(1 - v \cdot v\right)\right)}\]
3. Using strategy rm

4. Applied associate-/r*0.1

   \[\leadsto \color{blue}{\frac{\frac{\frac{1 + \left(-5 \cdot v\right) \cdot v}{\pi}}{\sqrt{\left(-3 \cdot v\right) \cdot \left(v \cdot 2\right) + 2}}}{t \cdot \left(1 - v \cdot v\right)}}\]

5. Final simplification0.1

   \[\leadsto \frac{\frac{\frac{1 + v \cdot \left(v \cdot -5\right)}{\pi}}{\sqrt{\left(v \cdot 2\right) \cdot \left(v \cdot -3\right) + 2}}}{t \cdot \left(1 - v \cdot v\right)}\]

Reproduce

herbie shell --seed 2018365 
(FPCore (v t)
  :name "Falkner and Boettcher, Equation (20:1,3)"
  (/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v)))))

Details

Time bar (total: 49.4s)Debug log