Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
Internal Precision: 128
\[e^{-\left(1 - x \cdot x\right)}\]
\[\frac{e^{x \cdot x}}{e}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

    \[e^{-\left(1 - x \cdot x\right)}\]
  2. Simplified0.0

    \[\leadsto \color{blue}{\frac{e^{x \cdot x}}{e}}\]
  3. Final simplification0.0

    \[\leadsto \frac{e^{x \cdot x}}{e}\]

Reproduce

herbie shell --seed 2019051 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))