Details

analyze436.0ms (27.9%)

Algorithm

1×

Search

True	Other	False	Iter
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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	81.1%	18.9%	7
6.2%	74.9%	18.9%	8
9.4%	65.5%	25.1%	9
15.6%	48.4%	36%	10
20.3%	43.1%	36.6%	11
22.6%	36%	41.4%	12
27.1%	25.1%	47.8%	13
29.5%	22.5%	48%	14

sample22.0ms (1.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	58×	body	80	nan
1.0ms	17×	body	80	invalid

simplify134.0ms (8.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	6513	10

prune6.0ms (0.4%)

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: 21.9b

Counts

2 → 1

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
1.2b	(-.f64 (.f64 y y) (.f64 z z))
22.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sqrt-div_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`associate-*r/_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

series37.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(.f64 x (sqrt.f64 (-.f64 (.f64 y y) (*.f64 z z))))
8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify36.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4996	609
1	4996	609

prune71.0ms (4.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Merged error: 0.1b

Counts

63 → 4

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (.f64 y y) (.f64 z z))
1.2b	(-.f64 (.f64 y y) (.f64 z z))
22.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
22.0b	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))

rewrite18.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
4×	`flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64` `sqrt-div_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `diff-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))
4.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
4.0ms	(-.f64 (.f64 y y) (.f64 z z))

series30.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
8.0ms	(sqrt.f64 (-.f64 (.f64 y y) (.f64 z z)))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))
7.0ms	(-.f64 (.f64 y y) (.f64 z z))

simplify52.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4920	632
1	4920	632

prune70.0ms (4.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0.1b

Counts

72 → 4

localize3.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize4.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.1b

Counts

4 → 4

Details

analyze436.0ms (27.9%)

sample22.0ms (1.4%)

simplify134.0ms (8.5%)

prune6.0ms (0.4%)

localize10.0ms (0.7%)

rewrite18.0ms (1.2%)

series37.0ms (2.4%)

simplify36.0ms (2.3%)

prune71.0ms (4.6%)

localize12.0ms (0.8%)

rewrite18.0ms (1.2%)

series30.0ms (1.9%)

simplify52.0ms (3.4%)

prune70.0ms (4.5%)

localize3.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0.3%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0.3%)

prune0.0ms (0%)

regimes583.0ms (37.3%)

bsearch8.0ms (0.5%)

Profiling