Details

analyze1.8s (17.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
74.9%	25%	0.2%	7
74.9%	25%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
87.3%	12.5%	0.2%	11
87.3%	12.5%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

Compiler

Compiled 34 to 30 computations (11.8% saved)

sample195.0ms (1.9%)

Algorithm

1×

intervals

Results

78.0ms	197×	body	128	valid
47.0ms	24×	body	1024	valid
26.0ms	20×	body	512	valid
13.0ms	15×	body	256	valid

Compiler

Compiled 71 to 63 computations (11.3% saved)

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

575×	`associate-l_binary64`
512×	`unswap-sqr_binary64`
437×	`associate-r_binary64`
407×	`distribute-rgt-out_binary64`
369×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	42
1	56	39
2	107	39
3	429	39
4	2037	39
5	4850	39
6	4809	39
7	5523	39

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))

Compiler

Compiled 87 to 75 computations (13.8% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 ky) 2)
0.2b	(pow.f64 (sin.f64 kx) 2)
2.0b	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
8.9b	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))

rewrite207.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
16×	`unpow-prod-down_binary64`
13×	`add-cube-cbrt_binary64`

Counts

4 → 90

Calls

4 calls:

20.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
5.0ms	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
4.0ms	(pow.f64 (sin.f64 ky) 2)
4.0ms	(pow.f64 (sin.f64 kx) 2)

Compiler

Compiled 3007 to 2262 computations (24.8% saved)

series641.0ms (6.2%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

374.0ms	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
176.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
16.0ms	(pow.f64 (sin.f64 kx) 2)
14.0ms	(pow.f64 (sin.f64 ky) 2)

Compiler

Compiled 4503 to 3713 computations (17.5% saved)

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

408×	`distribute-rgt-in_binary64`
394×	`distribute-lft-in_binary64`
354×	`times-frac_binary64`
312×	`unswap-sqr_binary64`
180×	`cancel-sign-sub-inv_binary64`

Counts

134 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	4066
1	663	3804
2	2096	3571
3	5110	3571

prune135.0ms (1.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	1	104

Error

0.0b

Counts

104 → 1

Alt Table

Status	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))))

Compiler

Compiled 2416 to 1760 computations (27.2% saved)

regimes842.0ms (8.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 8959 to 7685 computations (14.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	39
1	29	39
2	28	39

end13.0ms (0.1%)

Remove: (sort kx ky)
Compiler: Compiled 87 to 75 computations (13.8% saved)

sample6.2s (59.5%)

Algorithm

1×

intervals

Results

2.7s	6335×	body	128	valid
1.7s	794×	body	1024	valid
806.0ms	566×	body	512	valid
272.0ms	304×	body	256	valid
3.0ms	1×	body	2048	valid

Compiler

Compiled 96 to 84 computations (12.5% saved)

Details

analyze1.8s (17.5%)

sample195.0ms (1.9%)

simplify111.0ms (1.1%)

prune7.0ms (0.1%)

localize35.0ms (0.3%)

rewrite207.0ms (2%)

series641.0ms (6.2%)

simplify176.0ms (1.7%)

prune135.0ms (1.3%)

regimes842.0ms (8.1%)

simplify7.0ms (0.1%)

end13.0ms (0.1%)

sample6.2s (59.5%)

Profiling