Average Error: 0.2 → 0.2
Time: 2.2m
Precision: 64
Internal Precision: 320
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot m - m}{-v} - 1\right) \cdot m\]

Error

Bits error versus m

Bits error versus v

Derivation

  1. Initial program 0.2

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
  2. Using strategy rm

  3. Applied frac-2neg0.2

    \[\leadsto \left(\color{blue}{\frac{-m \cdot \left(1 - m\right)}{-v}} - 1\right) \cdot m\]

  4. Applied simplify0.2

    \[\leadsto \left(\frac{\color{blue}{m \cdot m - m}}{-v} - 1\right) \cdot m\]

Runtime

Time bar (total: 2.2m)Debug logProfile

herbie shell --seed '#(1072840222 1305617769 1692503039 1353360431 4178980589 1488672652)' 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))