Details

sample379.0ms

Algorithm

intervals

Results

73.0ms	61×	body	5120	exit
21.0ms	256×	body	80	valid
20.0ms	291×	body	80	nan

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	321	5
5	1627	5
6	5001	5

prune16.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0b

Counts

2 → 1

localize11.0ms

Local error

Found 1 expressions with local error:

1.0b	(sqrt (atan2 b b))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
1×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

4.0ms

(sqrt (atan2 b b))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(sqrt (atan2 b b))

simplify101.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 7 (28.0ms)

Iter	Nodes	Cost
0	24	53
1	27	52
2	30	52
3	35	52
4	54	52
5	108	52
6	535	52
7	1774	51
8	5001	51

prune35.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	1	19

Merged error: 0b

Counts

19 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.9s	1816×	body	5120	exit
636.0ms	7992×	body	80	valid
590.0ms	9824×	body	80	nan
3.0ms	1×	body	5120	valid
3.0ms	2×	body	2560	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid