Average Error: 59.7 → 55.2
Time: 9.2s
Precision: 64
Internal Precision: 128
\[c0 \cdot \sqrt{\frac{A}{V \cdot \ell}}\]
↓
\[0\]

Error

Bits error versus c0

Bits error versus A

Bits error versus V

Bits error versus l

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.7

    \[c0 \cdot \sqrt{\frac{A}{V \cdot \ell}}\]

  2. Initial simplification59.7

    \[\leadsto c0 \cdot \sqrt{\frac{\frac{A}{V}}{\ell}}\]

  3. Taylor expanded around inf 55.2

    \[\leadsto \color{blue}{0}\]

  4. Final simplification55.2

    \[\leadsto 0\]

Runtime

Time bar (total: 9.2s)Debug logProfile

herbie shell --seed 2018255 
(FPCore (c0 A V l)
  :name "Henrywood and Agarwal, Equation (3)"
  (* c0 (sqrt (/ A (* V l)))))