Details

analyze636.0ms

Algorithm

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

sample103.0ms

Algorithm

intervals

Results

33.0ms	191×	body	80	valid
24.0ms	22×	body	1280	valid
16.0ms	20×	body	640	valid
10.0ms	17×	body	320	valid
2.0ms	6×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4882	29
1	4882	29

prune4.0ms

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: 1.5b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(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))))))
3.2b	(.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)))
10.4b	(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)))))

rewrite31.0ms

Algorithm

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:

3.0ms	(pow.f64 (sin.f64 ky) 2.0)
6.0ms	(/.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))))))
14.0ms	(.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)))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow.f64 (sin.f64 ky) 2.0)
233.0ms	(/.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))))))
124.0ms	(.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)))
180.0ms	(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)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5297	2653

prune211.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

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

localize175.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0)))
3.9b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
3.9b	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
10.4b	(sqrt.f64 (+.f64 1.0 (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (.f64 1/2 2.0))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
16×	`add-exp-log_binary64`
15×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64`
11×	`associate-r_binary64`
8×	`associate-l_binary64` `sqrt-div_binary64`
7×	`pow1_binary64`
6×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
3×	`pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `times-frac_binary64` `pow-exp_binary64`
2×	`div-exp_binary64` `associate-*l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 90

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
6.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (.f64 1/2 2.0))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0))))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0)))
24.0ms	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
24.0ms	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
240.0ms	(sqrt.f64 (+.f64 1.0 (.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (.f64 1/2 2.0))) (.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))) (pow.f64 (/.f64 (.f64 2.0 l) Om) (*.f64 1/2 2.0))))))

simplify40.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5732	1956

prune208.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	102	2	104

Merged error: 0.8b

Counts

104 → 2

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.8b

Counts

2 → 2

regimes533.0ms

Accuracy

0% (0.1b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	53
1	33	53

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	6168×	body	80	valid
637.0ms	550×	body	1280	valid
558.0ms	677×	body	640	valid
237.0ms	405×	body	320	valid
77.0ms	200×	body	160	valid

Details

analyze636.0ms

sample103.0ms

simplify72.0ms

prune4.0ms

localize22.0ms

rewrite31.0ms

series556.0ms

simplify68.0ms

prune211.0ms

localize175.0ms

rewrite41.0ms

series420.0ms

simplify40.0ms

prune208.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune0.0ms

regimes533.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling