Average Error: 14.9 → 14.9
Time: 5.7s
Precision: 64
Internal Precision: 576
\[\sqrt{\left|\left(8 \cdot a + b \cdot b\right) - 4 \cdot c\right|}\]
\[\sqrt{\left|\left(8 \cdot a + b \cdot b\right) - 4 \cdot c\right|}\]

Error

Bits error versus a

Bits error versus b

Bits error versus c

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.9

    \[\sqrt{\left|\left(8 \cdot a + b \cdot b\right) - 4 \cdot c\right|}\]
  2. Final simplification14.9

    \[\leadsto \sqrt{\left|\left(8 \cdot a + b \cdot b\right) - 4 \cdot c\right|}\]

Runtime

Time bar (total: 5.7s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (a b c)
  :name "sqrt( abs( 8*a + b*b - 4*c) )"
  (sqrt (fabs (- (+ (* 8 a) (* b b)) (* 4 c)))))