Details

Time bar (total: 710.0ms)

sample405.0ms

Algorithm
intervals
Results
11.0ms180×body80valid
10.0ms32×body2560valid
8.0ms32×body1280valid
5.0ms96×body80nan
3.0ms14×body640valid
2.0msbody5120valid
2.0ms10×body320valid
1.0msbody160valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01013
11413
22212
32512
42712
52912
done2912

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.4b
(- (* b_2 b_2) (* a c))
1.3b
(+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.6b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite215.0ms

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:
111.0ms
(/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
16.0ms
(- (* b_2 b_2) (* a c))
62.0ms
(+ (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series7.0ms