Details

analyze60.0ms (2.4%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune5.0ms (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

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
28×	`distribute-lft-out_binary64`
15×	`distribute-rgt-out_binary64`
12×	`associate-/r*_binary64`
5×	`count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 80

Calls

1 calls:

9.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

series7.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

simplify64.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5602	942

prune82.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0.0b

Counts

84 → 2

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
0.2b	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

rewrite200.0ms (8.1%)

Algorithm

1×	rewrite-expression-head

Rules

2010×	`times-frac_binary64`
1874×	`*-un-lft-identity_binary64`
1632×	`sqrt-prod_binary64`
1090×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
664×	`distribute-lft-out_binary64`
408×	`distribute-rgt-out_binary64`
136×	`count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64`
70×	`associate-/l*_binary64`
36×	`associate-/r/_binary64` `sqrt-div_binary64`
30×	`associate-/r*_binary64`
19×	`flip3-+_binary64` `flip-+_binary64`
18×	`div-inv_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/l/_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 1183

Calls

2 calls:

46.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
11.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

series38.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y))) (sqrt.f64 (+.f64 y y)))
16.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (+.f64 y y)))

simplify244.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1189 → 1189

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4985	25973
1	4985	25973

prune1.4s (55.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1188	1	1189
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1190	1	1191

Merged error: 0b

Counts

1191 → 1

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Merged error: 0b

Counts

1 → 1

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample337.0ms (13.7%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	80	valid
5.0ms	219×	body	80	invalid

Details

analyze60.0ms (2.4%)

sample13.0ms (0.5%)

simplify5.0ms (0.2%)

prune5.0ms (0.2%)

localize4.0ms (0.2%)

rewrite14.0ms (0.6%)

series7.0ms (0.3%)

simplify64.0ms (2.6%)

prune82.0ms (3.3%)

localize6.0ms (0.2%)

rewrite200.0ms (8.1%)

series38.0ms (1.5%)

simplify244.0ms (9.9%)

prune1.4s (55.5%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample337.0ms (13.7%)

Profiling