Details

Time bar (total: 658.0ms)

sample58.0ms

Algorithm
intervals
Results
11.0ms153×body160valid
10.0ms514×pre80true
9.0ms258×body80nan
5.0ms44×body320valid
2.0ms59×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12417
24416
37916
49216
510016
done10016

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize11.0ms

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))
40.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
add-exp-log add-cbrt-cube
add-log-exp
pow1 div-inv
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 → 149
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
34.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
2.0ms
(- (* b b) (* (* 4.0 a) c))
18.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series302.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
44.0ms
(- (* b b) (* (* 4.0 a) c))
80.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify171.0ms

Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
02804083
16703911