Details

Time bar (total: 1.4s)

sample91.0ms

Algorithm
intervals
Results
20.0ms146×body160valid
19.0ms300×body80nan
15.0ms556×pre80true
7.0ms110×body80valid

simplify173.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
014365
125365
243325
379325
494325
5102325
6104325
7105325
done105325

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.2b
(- (* b b) (* (* 4.0 a) c))
29.0b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite226.0ms

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-cbrt-cube add-exp-log
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv associate-/r* flip3-- div-exp flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 183
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
116.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
17.0ms
(- (* b b) (* (* 4.0 a) c))
60.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series453.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
151.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
81.0ms
(- (* b b) (* (* 4.0 a) c))
116.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify389.0ms

Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
0321102660