Average Error: 0.0 → 0.1
Time: 35.0s
Precision: 64
Internal Precision: 384
\[e^{-\left(1 - x \cdot x\right)}\]
↓
\[\sqrt[3]{{\left(e^{x \cdot x - 1}\right)}^{3}}\]

Error

Bits error versus x

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. Applied simplify0.1

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

Runtime

Time bar (total: 35.0s)Debug logProfile

herbie shell --seed '#(1070578969 3140398606 632207097 462683394 1189254563 964980650)' 
(FPCore (x)
  :name "exp neg sub"
  (exp (- (- 1 (* x x)))))