Average Error: 0.0 → 0.1
Time: 22.7s
Precision: 64
Internal Precision: 576
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[\sqrt[3]{e^{-\left(1 - x \cdot x\right)} \cdot \left(e^{-\left(1 - x \cdot x\right)} \cdot e^{-\left(1 - x \cdot x\right)}\right)}\]

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-cube0.1

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

  4. Final simplification0.1

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

Runtime

Time bar (total: 22.7s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.10.10.00.10%
herbie shell --seed 2018286 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))