Average Error: 0.1 → 0
Time: 663.0ms
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. Applied simplify0

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

Runtime

Time bar (total: 663.0ms)Debug logProfile

herbie shell --seed 2020178 
(FPCore (x)
  :name "math.cube on real"

  :herbie-target
  (pow x 3)

  (* (* x x) x))