(/ (* b 2) (* (- 2) a))

Average Error: 0.0 → 0

Time: 671.0ms

Precision: binary64

Math

\[\frac{b \cdot 2}{\left(-2\right) \cdot a}\]

↓

\[\frac{b}{-a}\]

Error

Bits error versus b

Bits error versus a

Derivation

1. Initial program 0.0

   \[\frac{b \cdot 2}{\left(-2\right) \cdot a}\]

2. Simplified 0

   \[\leadsto \color{blue}{\frac{b}{-a}}\]

3. Final simplification 0

   \[\leadsto \frac{b}{-a}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (b a)
  :name "(/ (* b 2) (* (- 2) a))"
  :precision binary64
  (/ (* b 2.0) (* (neg 2.0) a)))