Details

Time bar (total: 551.0ms)

sample134.0ms

Algorithm
intervals
Results
44.0ms179×body80valid
21.0ms32×body2560valid
17.0ms32×body1280valid
10.0ms96×body80nan
7.0ms14×body640valid
5.0ms10×body320valid
3.0msbody5120valid
1.0msbody160valid

simplify120.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
0.4b
(- (* b b) (* (* 4.0 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
23.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
147.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
16.0ms
(- (* b b) (* (* 4.0 a) c))
71.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series0.0ms