Details

analyze633.0ms (7.6%)

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

sample101.0ms (1.2%)

Algorithm

1×

intervals

Results

35.0ms	193×	body	80	valid
22.0ms	17×	body	1280	valid
21.0ms	26×	body	640	valid
7.0ms	12×	body	320	valid
3.0ms	8×	body	160	valid

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4882	29
1	4882	29

prune9.0ms (0.1%)

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: 1.3b

Counts

2 → 1

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 ky) 2.0)
0.3b	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
3.1b	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
21×	`times-frac_binary64`
19×	`add-exp-log_binary64`
15×	`sqrt-prod_binary64`
13×	`unpow-prod-down_binary64`
11×	`associate-l_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `prod-exp_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow-exp_binary64` `sqrt-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `div-exp_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `div-inv_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 110

Calls

4 calls:

15.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.0ms	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
4.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
3.0ms	(pow.f64 (sin.f64 ky) 2.0)

series571.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
188.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
126.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
19.0ms	(pow.f64 (sin.f64 ky) 2.0)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5297	2653

prune285.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	2	123

Merged error: 0.8b

Counts

123 → 2

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
2.8b	(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
3.1b	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
39×	`times-frac_binary64`
38×	`add-cube-cbrt_binary64`
25×	`log-pow_binary64`
24×	`sqrt-prod_binary64` `exp-prod_binary64`
18×	`add-exp-log_binary64`
11×	`associate-l_binary64`
10×	`unpow-prod-down_binary64`
8×	`add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `pow1_binary64` `prod-exp_binary64` `sqrt-div_binary64`
5×	`associate-r_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
3×	`log-prod_binary64` `unswap-sqr_binary64` `associate-/l*_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`
2×	`distribute-lft-out_binary64` `associate-*r/_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 129

Calls

4 calls:

15.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
9.0ms	(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
7.0ms	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
4.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

series784.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
235.0ms	(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
184.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
126.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	3379
1	4967	3379

prune382.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	140	3	143

Merged error: 0.8b

Counts

143 → 3

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

3.1b	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
3.1b	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
7.8b	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64`
26×	`add-sqr-sqrt_binary64`
22×	`-un-lft-identity_binary64` `associate-l*_binary64`
20×	`unpow-prod-down_binary64`
14×	`add-cube-cbrt_binary64`
12×	`prod-exp_binary64`
10×	`associate-r_binary64`
8×	`add-cbrt-cube_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `times-frac_binary64` `sqrt-prod_binary64` `pow-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `div-exp_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow-to-exp_binary64` `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 → 104

Calls

4 calls:

18.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
15.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
4.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
4.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

series616.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

182.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
181.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
128.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
126.0ms	(.f64 (pow.f64 (/.f64 (.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4929	2330
1	4929	2330

prune446.0ms (5.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0.8b

Counts

119 → 3

localize7.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.8b

Counts

3 → 3

regimes973.0ms (11.7%)

Accuracy

Total 0.4b remaining (39%)

Threshold costs 0.4b (39%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	31
1	30	31

end0.0ms (0%)

sample3.0s (36.1%)

Algorithm

1×

intervals

Results

1.2s	6214×	body	80	valid
631.0ms	551×	body	1280	valid
540.0ms	640×	body	640	valid
237.0ms	375×	body	320	valid
88.0ms	220×	body	160	valid

Details

analyze633.0ms (7.6%)

sample101.0ms (1.2%)

simplify69.0ms (0.8%)

prune9.0ms (0.1%)

localize26.0ms (0.3%)

rewrite32.0ms (0.4%)

series571.0ms (6.9%)

simplify66.0ms (0.8%)

prune285.0ms (3.4%)

localize28.0ms (0.3%)

rewrite40.0ms (0.5%)

series784.0ms (9.5%)

simplify70.0ms (0.8%)

prune382.0ms (4.6%)

localize30.0ms (0.4%)

rewrite44.0ms (0.5%)

series616.0ms (7.4%)

simplify76.0ms (0.9%)

prune446.0ms (5.4%)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify4.0ms (0.1%)

prune0.0ms (0%)

regimes973.0ms (11.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (36.1%)

Profiling