Details

Time bar (total: 394.0ms)

sample41.0ms

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

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize11.0ms

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)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×prod-diff
16×sqrt-prod
10×pow1
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
expm1-log1p-u log1p-expm1-u
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 → 94
Calls
4 calls:
7.0ms
(* (* 4.0 a) c)
3.0ms
(- (* b b) (* (* 4.0 a) c))
24.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* 4.0 a) c)
46.0ms
(- (* b b) (* (* 4.0 a) c))
75.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify33.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01611863