Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
Internal Precision: 576
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[{\left(e^{x}\right)}^{x} \cdot \frac{1}{e}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

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

  2. Applied simplify0.0

    \[\leadsto \color{blue}{\frac{e^{x \cdot x}}{e}}\]
  3. Using strategy rm

  4. Applied exp-prod0.0

    \[\leadsto \frac{\color{blue}{{\left(e^{x}\right)}^{x}}}{e}\]
  5. Using strategy rm

  6. Applied div-inv0.0

    \[\leadsto \color{blue}{{\left(e^{x}\right)}^{x} \cdot \frac{1}{e}}\]

Runtime

Time bar (total: 8.2s)Debug logProfile

herbie shell --seed '#(1071852389 864846987 1238109217 3425890003 4124793586 650694553)' 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))