Average Error: 0.0 → 0.0
Time: 51.8s
Precision: 64
Internal Precision: 576
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[e^{-\sqrt[3]{{\left(1 - x \cdot x\right)}^{3}}}\]

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 add-cbrt-cube0.0

    \[\leadsto e^{-\color{blue}{\sqrt[3]{\left(\left(1 - x \cdot x\right) \cdot \left(1 - x \cdot x\right)\right) \cdot \left(1 - x \cdot x\right)}}}\]

  4. Applied simplify0.0

    \[\leadsto e^{-\sqrt[3]{\color{blue}{{\left(1 - x \cdot x\right)}^{3}}}}\]

Runtime

Time bar (total: 51.8s)Debug logProfile

herbie shell --seed 2019053 +o rules:numerics
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))