Details

Time bar (total: 494.0ms)

sample104.0ms

Algorithm
intervals
Results
39.0ms32×body2560valid
17.0ms192×body80valid
9.0ms22×body1280valid
7.0ms76×body80nan
6.0ms17×body640valid
2.0msbody320valid
1.0msbody160valid
1.0msbody5120valid

simplify153.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01417
12517
24616
38616
410816
511616
done11616

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* 2.0 a))
0.6b
(- (* b b) (* 4.0 (* a c)))
1.3b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
27.2b
(sqrt (- (* b b) (* 4.0 (* a c))))

rewrite205.0ms

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:
113.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* 2.0 a))
9.0ms
(- (* b b) (* 4.0 (* a c)))
67.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)
12.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))

series0.0ms