Average Error: 0.2 → 0.2
Time: 32.3s
Precision: 64
Internal Precision: 576
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\frac{m}{\frac{v}{m}} - \left(\frac{m \cdot m}{\frac{v}{m}} + m\right)\]

Error

Bits error versus m

Bits error versus v

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

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

  2. Initial simplification0.2

    \[\leadsto \frac{m - m \cdot m}{\frac{v}{m}} - m\]
  3. Using strategy rm

  4. Applied div-sub0.2

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

  5. Applied associate--l-0.2

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

  6. Final simplification0.2

    \[\leadsto \frac{m}{\frac{v}{m}} - \left(\frac{m \cdot m}{\frac{v}{m}} + m\right)\]

Runtime

Time bar (total: 32.3s)Debug logProfile

herbie shell --seed 2018252 
(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))