Average Error: 0.6 → 0.4
Time: 12.3s
Precision: 64
Internal Precision: 576
\[\left(\left(3 \cdot 21\right) \cdot x\right) \cdot \left(\left(3 \cdot 36\right) \cdot xy\right)\]
\[6804 \cdot \left(x \cdot xy\right)\]

Error

Bits error versus x

Bits error versus xy

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.6

    \[\left(\left(3 \cdot 21\right) \cdot x\right) \cdot \left(\left(3 \cdot 36\right) \cdot xy\right)\]
  2. Taylor expanded around 0 0.4

    \[\leadsto \color{blue}{6804 \cdot \left(x \cdot xy\right)}\]

Runtime

Time bar (total: 12.3s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x xy)
  :name "(3*21x) * (3* 36xy)"
  (* (* (* 3 21) x) (* (* 3 36) xy)))