Details

Time bar (total: 613.0ms)

sample88.0ms

Algorithm
intervals
Results
17.0ms32×body2560valid
16.0ms179×body80valid
14.0ms32×body1280valid
8.0ms96×body80nan
4.0ms14×body640valid
3.0ms10×body320valid
3.0msbody5120valid
1.0msbody160valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
0.4b
(- (* b b) (* (* 4.0 a) c))
1.3b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
23.6b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite310.0ms

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:
153.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
14.0ms
(- (* b b) (* (* 4.0 a) c))
114.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
25.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series0.0ms