Average Error: 0.2 → 0.2
Time: 58.9s
Precision: 64
Internal Precision: 576
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\[1 \cdot \left(\frac{m - m \cdot m}{\frac{v}{m}} - m\right)\]

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 clear-num0.2

    \[\leadsto \left(\color{blue}{\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}}} - 1\right) \cdot m\]
  4. Using strategy rm
  5. Applied *-un-lft-identity0.2

    \[\leadsto \color{blue}{\left(1 \cdot \left(\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}} - 1\right)\right)} \cdot m\]
  6. Applied associate-*l*0.2

    \[\leadsto \color{blue}{1 \cdot \left(\left(\frac{1}{\frac{v}{m \cdot \left(1 - m\right)}} - 1\right) \cdot m\right)}\]
  7. Applied simplify0.2

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

Runtime

Time bar (total: 58.9s)Debug logProfile

herbie shell --seed '#(1071246582 2318319007 2683472949 3810440501 3233274817 2724848749)' 
(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))