Details

Time bar (total: 762.0ms)

sample45.0ms

Algorithm
intervals
Results
14.0ms40×body2560valid
7.0ms187×body80valid
4.0ms23×body1280valid
3.0ms86×body80nan
2.0ms16×body640valid
1.0msbody320valid
1.0msbody5120valid
0.0msbody160valid

simplify45.0ms

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: 34.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4.0 a) c)
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)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1
add-exp-log add-cbrt-cube
*-un-lft-identity add-log-exp
add-cube-cbrt
sqrt-prod
flip3-- associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod
sub-neg sqrt-div diff-log difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative distribute-lft-out--
Counts
4 → 60
Calls
4 calls:
6.0ms
(* (* 4.0 a) c)
2.0ms
(- (* 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)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 4.0 a) c)
46.0ms
(- (* b b) (* (* 4.0 a) c))
77.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify412.0ms

Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
01201001
1283903
21068825