Details

Time bar (total: 1.2s)

analyze268.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample51.0ms

Algorithm
intervals
Results
16.0ms163×body160valid
8.0ms292×pre80true
6.0ms39×body320valid
3.0ms54×body80valid
2.0ms36×body80nan

simplify455.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (320.0ms)

IterNodesCost
0183424
1183424

prune13.0ms

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: 45.2b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
40.9b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1843
13×*-un-lft-identity_binary64_1858
add-cbrt-cube_binary64_1830 add-exp-log_binary64_1822
add-log-exp_binary64_1823
add-cube-cbrt_binary64_1829
sqrt-prod_binary64_1837 times-frac_binary64_1853 associate-/l*_binary64_1922 difference-of-squares_binary64_1887
pow1_binary64_1804
flip--_binary64_1884 flip3--_binary64_1857
distribute-lft-out--_binary64_1903
div-exp_binary64_1811 cbrt-undiv_binary64_1828 sqrt-div_binary64_1838 diff-log_binary64_1774 associate-/l/_binary64_1924 sub-neg_binary64_1862
div-sub_binary64_1852 cbrt-unprod_binary64_1827 clear-num_binary64_1861 frac-2neg_binary64_1851 associate-/r*_binary64_1921 prod-exp_binary64_1809 sqrt-pow1_binary64_1839 div-inv_binary64_1859 pow1/2_binary64_1794 rem-sqrt-square_binary64_1846
Counts
4 → 70
Calls
4 calls:
7.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
13.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series273.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
107.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
36.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
69.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

simplify103.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
050281975

prune24.0ms

Filtered
62 candidates to 82 candidates (-32.3%)

Profiling

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