Details

Time bar (total: 1.6s)

analyze439.0ms

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

sample48.0ms

Algorithm
intervals
Results
9.0ms166×body80valid
7.0ms26×body2560valid
6.0ms27×body1280valid
4.0ms21×body640valid
1.0ms32×body80nan
1.0msbody5120valid
1.0msbody320valid
1.0ms10×body80invalid
0.0msbody160valid

simplify624.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
071418
171418

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 35.7b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
0.8b
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
1.3b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
24.5b
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64
18×times-frac_binary64
16×add-cube-cbrt_binary64
10×difference-of-squares_binary64
add-log-exp_binary64 sqrt-prod_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
pow1_binary64 distribute-lft-out--_binary64
flip3--_binary64 flip--_binary64
associate-/r*_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 sqrt-div_binary64
pow1/2_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 82
Calls
4 calls:
11.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
4.0ms
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
7.0ms
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a)
31.0ms
(-.f64 (*.f64 b_2 b_2) (*.f64 a c))
66.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2)
70.0ms
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))

simplify92.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050292165

prune21.0ms

Filtered
70 candidates to 94 candidates (-34.3%)

Profiling

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