Details

Time bar (total: 984.0ms)

sample276.0ms

Algorithm
intervals
Results
8.0ms39×body2560valid
8.0ms183×body80valid
4.0ms24×body1280valid
3.0ms84×body80nan
2.0ms15×body640valid
1.0ms12×body320valid
1.0msbody5120valid
0.0msbody160valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01013
11813
23213
34013
44213
done4213

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
21.9b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
sqrt-prod
associate-/l*
add-exp-log add-cbrt-cube
pow1 distribute-rgt-neg-in
flip3-- flip--
diff-log associate-/r*
sub-neg sqrt-div associate-/l/
cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 91
Calls
4 calls:
33.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
3.0ms
(- (* b_2 b_2) (* a c))
20.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
6.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
32.0ms
(- (* b_2 b_2) (* a c))
69.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
71.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify349.0ms

Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
01561821
13761727
210781611