Details

Time bar (total: 583.0ms)

sample68.0ms

Algorithm
intervals
Results
21.0ms122×body320valid
10.0ms508×pre80true
9.0ms252×body80nan
6.0ms86×body160valid
2.0ms11×body640valid
1.0ms37×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
27.2b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 183
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
41.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
23.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series300.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
46.0ms
(- (* b b) (* (* 4.0 a) c))
104.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
82.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify68.0ms

Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
03214967