Details

Time bar (total: 1.3s)

sample91.0ms

Algorithm
intervals
Results
17.0ms195×body80valid
14.0ms28×body2560valid
14.0ms34×body1280valid
8.0ms97×body80nan
6.0ms19×body640valid
2.0msbody5120valid
2.0msbody320valid
0.0msbody160valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
012324
122324
240284
375284
491284
599284
6101284
7102284
done102284

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.8b
(- (* b b) (* (* 3.0 a) c))
0.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
21.7b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite542.0ms

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-cbrt-cube add-exp-log
add-log-exp
fma-neg
expm1-log1p-u log1p-expm1-u
flip3-- associate-*r* pow-prod-down prod-exp cbrt-unprod flip--
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:
16.0ms
(* (* 3.0 a) c)
6.0ms
(- (* b b) (* (* 3.0 a) c))
53.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
464.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 3.0 a) c)
87.0ms
(- (* b b) (* (* 3.0 a) c))
146.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
97.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify160.0ms

Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
016134117