Details

Time bar (total: 586.0ms)

sample212.0ms

Algorithm
intervals
Results
65.0ms93×body160valid
26.0ms110×body320valid
19.0ms510×pre80true
18.0ms254×body80nan
7.0ms22×body640valid
5.0ms31×body80valid

simplify118.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize30.0ms

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))
26.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite208.0ms

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:
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(- (* b b) (* (* 4.0 a) c))
103.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
72.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series4.0ms