Details

Time bar (total: 640.0ms)

sample42.0ms

Algorithm
intervals
Results
9.0ms40×body2560valid
7.0ms187×body80valid
4.0ms23×body1280valid
3.0ms86×body80nan
2.0ms16×body640valid
1.0msbody320valid
1.0msbody5120valid
0.0msbody160valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12417
24416
37916
49216
510016
done10016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
0.8b
(- (* b b) (* 4.0 (* a c)))
1.3b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
21.1b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite69.0ms

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:
38.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
3.0ms
(- (* b b) (* 4.0 (* a c)))
18.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
4.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) 2.0) a)
43.0ms
(- (* b b) (* 4.0 (* a c)))
80.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
71.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

simplify170.0ms

Iterations

Useful iterations: 1 (57.0ms)

IterNodesCost
02784083
16683911