Average Error: 0.0 → 0.0
Time: 17.2s
Precision: 64
Internal Precision: 576
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{\frac{-\left(1 - \left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)}{x \cdot x + 1}}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{-\left(1 - x \cdot x\right)}\]
  2. Using strategy rm

  3. Applied flip--0.0

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

  4. Final simplification0.0

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

Runtime

Time bar (total: 17.2s)Debug logProfile

herbie shell --seed 2018248 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))