Average Error: 0.1 → 0.1
Time: 3.8m
Precision: 64
Internal Precision: 576
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[(\left(\left(1 - m\right) \cdot \left(1 - m\right)\right) \cdot \left(\frac{m}{v}\right) + \left(-\left(1 - m\right)\right))_*\]

Error

Bits error versus m

Bits error versus v

Derivation

  1. Initial program 0.1

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

  2. Initial simplification0.1

    \[\leadsto (\left(\left(1 - m\right) \cdot \left(1 - m\right)\right) \cdot \left(\frac{m}{v}\right) + \left(-\left(1 - m\right)\right))_*\]

  3. Final simplification0.1

    \[\leadsto (\left(\left(1 - m\right) \cdot \left(1 - m\right)\right) \cdot \left(\frac{m}{v}\right) + \left(-\left(1 - m\right)\right))_*\]

Runtime

Time bar (total: 3.8m)Debug logProfile

herbie shell --seed 2018220 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))