Details

Time bar (total: 601.0ms)

sample61.0ms

Algorithm
intervals
Results
11.0ms153×body160valid
9.0ms514×pre80true
9.0ms59×body80valid
9.0ms258×body80nan
5.0ms44×body320valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01417
12517
24516
38716
410616
511416
done11416

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
0.2b
(- (* b b) (* (* 4.0 a) c))
40.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
19×prod-diff
13×distribute-lft-out--
add-exp-log add-cbrt-cube
add-log-exp
fma-neg
pow1 div-inv
expm1-log1p-u log1p-expm1-u
cbrt-undiv flip3-- div-exp associate-/r* flip--
sub-neg sqrt-div diff-log div-sub
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 183
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
41.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
3.0ms
(- (* b b) (* (* 4.0 a) c))
24.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series320.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
108.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) 2.0) a)
49.0ms
(- (* b b) (* (* 4.0 a) c))
91.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify66.0ms

Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03214967