Details

Time bar (total: 1.2s)

analyze461.0ms

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
21.8%71.8%6.4%7
31.2%62.4%6.4%8
35.9%55.4%8.7%9
37.8%48.8%13.4%10
42.7%42.3%15%11
47.7%34.2%18.1%12
49.1%30.4%20.5%13
51.9%25.8%22.3%14

sample51.0ms

Algorithm
intervals
Results
10.0ms34×body2560valid
9.0ms169×body80valid
8.0ms34×body1280valid
2.0ms11×body640valid
2.0ms30×body80nan
1.0ms19×body80invalid
1.0msbody320valid
0.0msbody5120valid
0.0msbody160valid

simplify322.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (313.0ms)

IterNodesCost
0183424
1183424

prune12.0ms

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: 34.1b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
0.6b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
22.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64
add-cube-cbrt_binary64
difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
pow1_binary64
flip3--_binary64 flip--_binary64
distribute-lft-out--_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls
4 calls:
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
4.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b) (*.f64 a 2))
34.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
57.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))) b)
64.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

simplify70.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049601975
149601975

prune24.0ms

Filtered
62 candidates to 82 candidates (-32.3%)

Profiling

Loading profile data...