Average Error: 0.1 → 0
Time: 1.4s
Precision: 64
Internal Precision: 576
\[\left(x \cdot x\right) \cdot x\]
↓
\[{x}^{3}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.1

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

  2. Initial simplification0

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

  3. Final simplification0

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

Runtime

Time bar (total: 1.4s)Debug logProfile

herbie shell --seed 2018217 +o rules:numerics
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))