Details

analyze40.0ms (3.1%)

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
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify169.0ms (13.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_10743`
12×	`times-frac_binary64_10749`
10×	`add-sqr-sqrt_binary64_10765` `add-cube-cbrt_binary64_10778`
4×	`distribute-lft-out_binary64_10694` `associate-/r*_binary64_10687`
3×	`associate-/l*_binary64_10688` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
2×	`associate-/r/_binary64_10689`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `flip-+_binary64_10717` `div-exp_binary64_10794` `add-log-exp_binary64_10782` `flip3-+_binary64_10746` `cbrt-undiv_binary64_10777` `div-inv_binary64_10740` `pow1_binary64_10804`

Counts

1 → 33

Calls

1 calls:

5.0ms

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

series55.0ms (4.3%)

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify66.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5301	431

prune22.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

Compiler

Compiled 408 to 126 computations (69.1% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
0.2b	(/.f64 (+.f64 x y) (sqrt.f64 x))

rewrite57.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

360×	`times-frac_binary64_10749`
280×	`*-un-lft-identity_binary64_10743`
186×	`sqrt-prod_binary64_10759`
182×	`add-sqr-sqrt_binary64_10765` `add-cube-cbrt_binary64_10778`
49×	`distribute-lft-out_binary64_10694`
34×	`associate-/r*_binary64_10687`
10×	`associate-/l*_binary64_10688`
9×	`div-inv_binary64_10740` `add-cbrt-cube_binary64_10779` `add-exp-log_binary64_10781`
4×	`div-exp_binary64_10794` `cbrt-undiv_binary64_10777`
2×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `associate-/l/_binary64_10690` `add-log-exp_binary64_10782` `pow1_binary64_10804`
1×	`flip-+_binary64_10717` `associate-/r/_binary64_10689` `flip3-+_binary64_10746`

Counts

2 → 265

Calls

2 calls:

14.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
9.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

series155.0ms (12.2%)

Counts

2 → 6

Calls

2 calls:

99.0ms	(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x y) (sqrt.f64 x)))
56.0ms	(/.f64 (+.f64 x y) (sqrt.f64 x))

simplify127.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5135	6186

prune177.0ms (13.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	271	2	273

Merged error: 0b

Counts

273 → 2

Compiler

Compiled 4598 to 817 computations (82.2% saved)

regimes22.0ms (1.7%)

Compiler: Compiled 56 to 46 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample354.0ms (27.8%)

Algorithm

1×

intervals

Results

164.0ms

8000×

body

128

valid

Compiler

Compiled 25 to 21 computations (16% saved)

Details

analyze40.0ms (3.1%)

sample11.0ms (0.9%)

simplify169.0ms (13.3%)

prune2.0ms (0.1%)

localize3.0ms (0.3%)

rewrite8.0ms (0.6%)

series55.0ms (4.3%)

simplify66.0ms (5.2%)

prune22.0ms (1.8%)

localize5.0ms (0.4%)

rewrite57.0ms (4.5%)

series155.0ms (12.2%)

simplify127.0ms (9.9%)

prune177.0ms (13.9%)

regimes22.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample354.0ms (27.8%)

Profiling