Average Error: 15.4 → 0.1
Time: 20.9s
Precision: 64
Internal Precision: 576
\[{x}^{3} - \sqrt{{x}^{3}}\]
\[{x}^{3} - \left|x\right| \cdot \sqrt{x}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.4

    \[{x}^{3} - \sqrt{{x}^{3}}\]
  2. Using strategy rm
  3. Applied unpow315.4

    \[\leadsto {x}^{3} - \sqrt{\color{blue}{\left(x \cdot x\right) \cdot x}}\]
  4. Applied sqrt-prod7.6

    \[\leadsto {x}^{3} - \color{blue}{\sqrt{x \cdot x} \cdot \sqrt{x}}\]
  5. Applied simplify0.1

    \[\leadsto {x}^{3} - \color{blue}{\left|x\right|} \cdot \sqrt{x}\]

Runtime

Time bar (total: 20.9s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "x^3 - sqrt(x^3)"
  (- (pow x 3) (sqrt (pow x 3))))