Details

Time bar (total: 826.0ms)

sample287.0ms

Algorithm
intervals
Results
107.0ms92×body160valid
34.0ms121×body320valid
23.0ms506×pre80true
23.0ms250×body80nan
8.0ms18×body640valid
2.0ms25×body80valid

simplify233.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
01417
12417
24416
37816
49116
59916
done9916

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
26.4b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
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 → 72
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(- (* b b) (* (* 4.0 a) c))
167.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
75.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series9.0ms