Details

Time bar (total: 760.0ms)

sample282.0ms

Algorithm
intervals
Results
8.0ms187×body80valid
7.0ms40×body2560valid
3.0ms23×body1280valid
3.0ms86×body80nan
2.0ms16×body640valid
1.0msbody320valid
0.0msbody5120valid
0.0msbody160valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01013
11413
22212
32512
42712
52912
done2912

prune8.0ms

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_2 b_2) (* a c))) b_2) a)
0.8b
(- (* b_2 b_2) (* a c))
1.3b
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
21.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
sqrt-prod add-log-exp
add-exp-log add-cbrt-cube associate-/l*
pow1 distribute-lft-out--
flip3-- flip--
associate-/r*
sub-neg sqrt-div diff-log associate-/l/
cbrt-undiv rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp clear-num div-inv
Counts
4 → 84
Calls
4 calls:
37.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
3.0ms
(- (* b_2 b_2) (* a c))
29.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
6.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
33.0ms
(- (* b_2 b_2) (* a c))
69.0ms
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
71.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify97.0ms

Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
01541624
13641526