Details

analyze607.0ms (8.8%)

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 30 to 30 computations (0% saved)

sample87.0ms (1.3%)

Algorithm

1×

intervals

Results

35.0ms	206×	body	80	valid
20.0ms	17×	body	1280	valid
9.0ms	15×	body	320	valid
8.0ms	10×	body	640	valid
3.0ms	8×	body	160	valid

Compiler

Compiled 59 to 63 computations (-6.8% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5326	39

prune5.0ms (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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 50 to 50 computations (0% saved)

localize20.0ms (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)
2.5b	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
9.4b	(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)))))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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`
12×	`associate-l_binary64`
7×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
5×	`associate-r_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `insert-posit16`
3×	`pow-to-exp_binary64` `times-frac_binary64` `sqrt-prod_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `pow-pow_binary64` `div-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 94

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)))
4.0ms	(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)

series1.1s (15.3%)

Counts

4 → 12

Calls

4 calls:

664.0ms	(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)))))
328.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
35.0ms	(pow.f64 (sin.f64 kx) 2)
33.0ms	(pow.f64 (sin.f64 ky) 2)

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4990	2270
1	4990	2270

prune193.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Merged error: 0.0b

Counts

107 → 2

Compiler

Compiled 3318 to 2491 computations (24.9% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 kx) 2)
2.5b	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
9.4b	(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)))))
20.3b	(posit16->binary64 (binary64->posit16 (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)))))))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`add-exp-log_binary64`
15×	`*-un-lft-identity_binary64`
13×	`unpow-prod-down_binary64`
12×	`associate-l_binary64`
11×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `insert-posit16` `pow-exp_binary64`
3×	`pow-unpow_binary64` `unpow2_binary64` `sqr-pow_binary64` `times-frac_binary64` `sqrt-prod_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `div-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `remove-posit16` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 84

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 kx) 2)
1.0ms	(posit16->binary64 (binary64->posit16 (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)))))))

series1.2s (17.1%)

Counts

4 → 12

Calls

4 calls:

664.0ms	(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)))))
330.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
158.0ms	(posit16->binary64 (binary64->posit16 (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)))))))
29.0ms	(pow.f64 (sin.f64 kx) 2)

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4965	2487
1	4965	2487

prune188.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 3229 to 2464 computations (23.7% saved)

regimes181.0ms (2.6%)

Compiler: Compiled 972 to 1038 computations (-6.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	39
1	29	39

end0.0ms (0%)

sample3.0s (43%)

Algorithm

1×

intervals

Results

1.1s	6229×	body	80	valid
640.0ms	553×	body	1280	valid
526.0ms	649×	body	640	valid
222.0ms	388×	body	320	valid
69.0ms	181×	body	160	valid

Compiler

Compiled 107 to 111 computations (-3.7% saved)

Details

analyze607.0ms (8.8%)

sample87.0ms (1.3%)

simplify92.0ms (1.3%)

prune5.0ms (0.1%)

localize20.0ms (0.3%)

rewrite35.0ms (0.5%)

series1.1s (15.3%)

simplify115.0ms (1.7%)

prune193.0ms (2.8%)

localize25.0ms (0.4%)

rewrite32.0ms (0.5%)

series1.2s (17.1%)

simplify115.0ms (1.7%)

prune188.0ms (2.7%)

regimes181.0ms (2.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample3.0s (43%)

Profiling