Average Error: 0.1 → 0
Time: 1.3s
Precision: 64
Internal Precision: 128
\[\left(x \cdot x\right) \cdot x\]
↓
\[{x}^{3}\]

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. Using strategy rm

  3. Applied pow30

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

  4. Final simplification0

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

Reproduce

herbie shell --seed 2019068 
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))