Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
Internal Precision: 576
\[x \cdot \left(x \cdot x\right) + x \cdot x\]
↓
\[\left(x \cdot x\right) \cdot \left(1 + x\right)\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(\left(1.0 + x\right) \cdot x\right) \cdot x\]

Derivation

  1. Initial program 0.0

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

  2. Applied simplify0.0

    \[\leadsto \color{blue}{\left(x \cdot x\right) \cdot \left(1 + x\right)}\]

Runtime

Time bar (total: 8.6s)Debug logProfile

herbie shell --seed 2018170 
(FPCore (x)
  :name "Expression 3, p15"
  :pre (<= 0 x 2)

  :herbie-target
  (* (* (+ 1.0 x) x) x)

  (+ (* x (* x x)) (* x x)))