Average Error: 0.1 → 0
Time: 1.2s
Precision: 64
Internal Precision: 384
\[\left(x \cdot x\right) \cdot x\]
↓
\[{x}^{3}\]

Error

Bits error versus x

Target

Original0.1
Target0
Herbie0
\[{x}^{3}\]

Derivation

  1. Initial program 0.1

    \[\left(x \cdot x\right) \cdot x\]

  2. Applied simplify0

    \[\leadsto \color{blue}{{x}^{3}}\]

Runtime

Time bar (total: 1.2s)Debug logProfile

herbie shell --seed '#(1070355188 2193211668 3977393919 3454156579 3755371326 1656365382)' +o rules:numerics
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))