exp neg sub

Average Error: 0.0 → 0.0

Time: 4.3s

Precision: binary64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[e^{-\left(1 - x \cdot x\right)}\]

↓

\[e^{x \cdot x - 1}\]

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[e^{-\left(1 - x \cdot x\right)}\]

2. Simplified 0.0

   \[\leadsto \color{blue}{e^{x \cdot x - 1}}\]

3. Final simplification 0.0

   \[\leadsto e^{x \cdot x - 1}\]

Reproduce

herbie shell --seed 2020182 
(FPCore (x)
  :name "exp neg sub"
  :precision binary64
  (exp (neg (- 1.0 (* x x)))))