Average Error: 0.0 → 0.0
Time: 5.6s
Precision: 64
Internal Precision: 128
\[x \cdot \left(x \cdot x\right) + x \cdot x\]
↓
\[\left(1 + x\right) \cdot \left(x \cdot x\right)\]

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. Initial simplification0.0

    \[\leadsto \left(x + 1\right) \cdot \left(x \cdot x\right)\]

  3. Final simplification0.0

    \[\leadsto \left(1 + x\right) \cdot \left(x \cdot x\right)\]

Runtime

Time bar (total: 5.6s)Debug logProfile

BaselineHerbieOracleSpan%
Regimes0.00.00.00.00%
herbie shell --seed 2018354 
(FPCore (x)
  :name "Expression 3, p15"
  :pre (<= 0 x 2)

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

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