Average Error: 0.1 → 0.1
Time: 2.7m
Precision: 64
Internal Precision: 576
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot m - m}{-v} - 1\right) \cdot \left(1 - m\right)\]

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. Using strategy rm

  3. Applied frac-2neg0.1

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

  4. Applied simplify0.1

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

Runtime

Time bar (total: 2.7m)Debug logProfile

herbie shell --seed '#(1071501266 3581234924 1086666455 2685055582 1243441566 1802958749)' +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)))