Details

analyze77.0ms (4%)

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)

sample21.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify171.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune3.0ms (0.2%)

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)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_1101` `sqrt-prod_binary64_1117`
3×	`add-sqr-sqrt_binary64_1123`
2×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `sqrt-div_binary64_1118`
1×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `add-exp-log_binary64_1139` `sqrt-pow1_binary64_1119` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075` `pow1/2_binary64_1181`

Counts

1 → 16

Calls

1 calls:

6.0ms

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

series42.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify96.0ms (5%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5462	236

prune21.0ms (1.1%)

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 198 to 85 computations (57.1% saved)

localize11.0ms (0.6%)

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))))

rewrite73.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`sqrt-prod_binary64_1117`
64×	`add-sqr-sqrt_binary64_1123`
41×	`*-un-lft-identity_binary64_1101` `sqrt-pow1_binary64_1119`
34×	`sqrt-div_binary64_1118`
32×	`pow1_binary64_1162`
21×	`add-cube-cbrt_binary64_1136` `pow1/2_binary64_1181`
18×	`swap-sqr_binary64_1068`
13×	`rem-sqrt-square_binary64_1114`
10×	`associate-r_binary64_1041` `associate-l_binary64_1042`
9×	`pow-prod-up_binary64_1171` `distribute-lft-out_binary64_1052` `flip3-+_binary64_1104` `flip-+_binary64_1075` `unswap-sqr_binary64_1069`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
5×	`pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `sqr-abs_binary64_1116`
2×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `rem-square-sqrt_binary64_1113` `sqrt-unprod_binary64_1121` `pow2_binary64_1182`

Counts

4 → 152

Calls

4 calls:

28.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
7.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
7.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
5.0ms	(sqrt.f64 (+.f64 x y))

series337.0ms (17.6%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
117.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x y)))
47.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
42.0ms	(sqrt.f64 (+.f64 x y))

simplify100.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4913	2025
1	4913	2025

prune181.0ms (9.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	2	166

Merged error: 0b

Counts

166 → 2

Compiler

Compiled 2270 to 531 computations (76.6% saved)

regimes74.0ms (3.9%)

Compiler: Compiled 106 to 90 computations (15.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms (0%)

sample682.0ms (35.6%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
9.0ms	265×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

Details

analyze77.0ms (4%)

sample21.0ms (1.1%)

simplify171.0ms (8.9%)

prune3.0ms (0.2%)

localize7.0ms (0.4%)

rewrite13.0ms (0.7%)

series42.0ms (2.2%)

simplify96.0ms (5%)

prune21.0ms (1.1%)

localize11.0ms (0.6%)

rewrite73.0ms (3.8%)

series337.0ms (17.6%)

simplify100.0ms (5.2%)

prune181.0ms (9.5%)

regimes74.0ms (3.9%)

bsearch0.0ms (0%)

simplify6.0ms (0.3%)

end0.0ms (0%)

sample682.0ms (35.6%)

Profiling