Details

Time bar (total: 1.5s)

analyze423.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.1%0.1%6
18.7%76.5%4.8%7
28.1%66.3%5.6%8
35.1%55%9.9%9
36.3%50.9%12.8%10
42.1%42.4%15.5%11
47.5%33.8%18.7%12
48.8%30.7%20.6%13
51.8%25.6%22.5%14

sample52.0ms

Algorithm
intervals
Results
12.0ms47×body2560valid
8.0ms156×body80valid
5.0ms25×body1280valid
5.0msbody5120valid
2.0ms14×body640valid
1.0ms26×body80nan
1.0msbody320valid
0.0msbody80invalid
0.0msbody160valid

simplify621.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
071420
171420

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.5b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
0.5b
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
0.6b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
25.7b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64
37×*-un-lft-identity_binary64
21×times-frac_binary64
17×add-cube-cbrt_binary64
10×add-log-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
sqrt-prod_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 distribute-rgt-neg-in_binary64
flip3--_binary64 flip--_binary64
associate-/r*_binary64 diff-log_binary64
associate-/l/_binary64 sub-neg_binary64 sqrt-div_binary64
pow1/2_binary64 associate--l-_binary64 neg-sub0_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 neg-log_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 89
Calls
4 calls:
27.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
9.0ms
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
4.0ms
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
6.0ms
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)
60.0ms
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))
26.0ms
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
65.0ms
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
053292470

prune25.0ms

Filtered
72 candidates to 101 candidates (-40.3%)

Profiling

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