Details

Time bar (total: 518.0ms)

sample43.0ms

Algorithm
intervals
Results
12.0ms187×body80valid
8.0ms40×body2560valid
4.0ms23×body1280valid
3.0ms86×body80nan
2.0ms16×body640valid
1.0msbody320valid
0.0msbody5120valid
0.0msbody160valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12217
24216
38316
410216
511016
done11016

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.8b
(- (* b b) (* (* 3.0 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
21.1b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
19×prod-diff
18×sqrt-prod
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
times-frac associate-/l* difference-of-squares
pow1
expm1-log1p-u flip3-- flip-- log1p-expm1-u
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 106
Calls
4 calls:
44.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
3.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
4.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
43.0ms
(- (* b b) (* (* 3.0 a) c))
79.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
70.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify40.0ms

Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
01952476