Average Error: 0.0 → 0.0
Time: 16.0s
Precision: 64
Internal Precision: 384
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{x \cdot x - 1}\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

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

  2. Applied simplify0.0

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

  4. Applied add-exp-log0.0

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

  5. Applied simplify0.0

    \[\leadsto e^{\color{blue}{x \cdot x - 1}}\]
  6. Removed slow pow expressions.

Runtime

Time bar (total: 16.0s)Debug logProfile

herbie shell --seed '#(1063185673 2139736501 2393378123 1907444849 1070993796 1007244912)' 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))