Details

Time bar (total: 1.0s)

sample282.0ms

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

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
01013
11413
22212
32512
42712
52912
done2912

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.3b
(+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
21.1b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
16×add-sqr-sqrt
15×add-cube-cbrt times-frac
10×distribute-lft-out add-log-exp
add-exp-log add-cbrt-cube
pow1 distribute-rgt-neg-in associate-/l*
associate-/r* sqrt-prod
neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div sum-log flip-- flip-+ associate-/l/
cbrt-undiv +-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp neg-log clear-num div-inv
Counts
4 → 80
Calls
4 calls:
34.0ms
(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
3.0ms
(- (* b_2 b_2) (* a c))
11.0ms
(+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
6.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
34.0ms
(- (* b_2 b_2) (* a c))
78.0ms
(+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
77.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify350.0ms

Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
01511534
13661440
210831266