Details

analyze36.0ms (2.7%)

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
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify162.0ms (12%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune2.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`sqrt-prod_binary64_1440` `*-un-lft-identity_binary64_1425`
3×	`add-sqr-sqrt_binary64_1446`
2×	`add-cube-cbrt_binary64_1457` `sqrt-div_binary64_1441` `pow1_binary64_1483`
1×	`flip3-+_binary64_1428` `pow1/2_binary64_1502` `distribute-lft-out_binary64_1378` `add-cbrt-cube_binary64_1458` `sqrt-pow1_binary64_1442` `flip-+_binary64_1399` `rem-sqrt-square_binary64_1438` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`

Counts

1 → 16

Calls

1 calls:

4.0ms

(sqrt.f64 (+.f64 x y))

series42.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(sqrt.f64 (+.f64 x y))

simplify49.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4964	234
1	4964	234

prune13.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

Compiler

Compiled 196 to 84 computations (57.1% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))

rewrite46.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Rules

110×	`sqrt-prod_binary64_1440`
56×	`add-sqr-sqrt_binary64_1446`
41×	`sqrt-pow1_binary64_1442` `*-un-lft-identity_binary64_1425`
34×	`sqrt-div_binary64_1441`
32×	`pow1_binary64_1483`
21×	`add-cube-cbrt_binary64_1457` `pow1/2_binary64_1502`
18×	`swap-sqr_binary64_1392`
10×	`associate-l_binary64_1368` `associate-r_binary64_1367`
9×	`unswap-sqr_binary64_1393` `flip3-+_binary64_1428` `distribute-lft-out_binary64_1378` `flip-+_binary64_1399` `pow-prod-up_binary64_1492`
6×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
5×	`pow-sqr_binary64_1398` `rem-sqrt-square_binary64_1438` `pow-prod-down_binary64_1493`
4×	`add-log-exp_binary64_1461` `frac-times_binary64_1435`
2×	`associate-r/_binary64_1369` `associate-l/_binary64_1370`
1×	`prod-exp_binary64_1471` `pow-plus_binary64_1485` `cbrt-unprod_binary64_1455` `rem-square-sqrt_binary64_1437` `pow2_binary64_1503` `sqrt-unprod_binary64_1444` `*-commutative_binary64_1358`

Counts

4 → 148

Calls

4 calls:

20.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
5.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
5.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
4.0ms	(sqrt.f64 (+.f64 x y))

series405.0ms (29.9%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
155.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
50.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
44.0ms	(sqrt.f64 (+.f64 x y))

simplify67.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5374	1968

prune98.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	2	162

Merged error: 0b

Counts

162 → 2

Compiler

Compiled 2191 to 538 computations (75.4% saved)

regimes33.0ms (2.4%)

Compiler: Compiled 78 to 62 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample377.0ms (27.8%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	128	valid
5.0ms	241×	body	128	nan

Compiler

Compiled 24 to 21 computations (12.5% saved)

Details

analyze36.0ms (2.7%)

sample11.0ms (0.8%)

simplify162.0ms (12%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite5.0ms (0.3%)

series42.0ms (3.1%)

simplify49.0ms (3.6%)

prune13.0ms (0.9%)

localize6.0ms (0.4%)

rewrite46.0ms (3.4%)

series405.0ms (29.9%)

simplify67.0ms (4.9%)

prune98.0ms (7.2%)

regimes33.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample377.0ms (27.8%)

Profiling