Details

sample123.0ms

Algorithm

intervals

Results

69.0ms	61×	body	5120	exit
21.0ms	256×	body	80	valid
17.0ms	291×	body	80	nan

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	315	5
5	1609	5
6	5001	5

prune3.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

1.0b	(sqrt (atan2 b b))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt (atan2 b b))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(sqrt (atan2 b b))

simplify96.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 7 (28.0ms)

Iter	Nodes	Cost
0	22	47
1	25	46
2	28	46
3	33	46
4	52	46
5	106	46
6	533	46
7	1765	45
8	5001	45

prune31.0ms

Filtered

16 candidates to 10 candidates (62.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	1	17

Merged error: 0b

Counts

17 → 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
649.0ms	7992×	body	80	valid
596.0ms	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