Details

analyze588.0ms

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

sample98.0ms

Algorithm

intervals

Results

33.0ms	198×	body	80	valid
22.0ms	25×	body	640	valid
20.0ms	18×	body	1280	valid
6.0ms	10×	body	320	valid
2.0ms	5×	body	160	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5068	29

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.5b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin kx) 2.0)
0.3b	(pow (sin ky) 2.0)
1.8b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
10.3b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`add-exp-log`
17×	`*-un-lft-identity`
16×	`unpow-prod-down`
13×	`add-cube-cbrt`
11×	`associate-l`
7×	`pow1`
6×	`pow-unpow` `prod-exp` `add-cbrt-cube`
5×	`associate-r` `pow-exp`
4×	`add-log-exp` `sqr-pow`
3×	`pow-to-exp` `times-frac` `sqrt-prod` `unswap-sqr`
2×	`pow-pow` `flip3-+` `sqrt-div` `associate-*r/` `div-exp` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 86

Calls

4 calls:

5.0ms	(pow (sin kx) 2.0)
2.0ms	(pow (sin ky) 2.0)
14.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
3.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series261.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sin kx) 2.0)
18.0ms	(pow (sin ky) 2.0)
103.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
122.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify33.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5145	1461

prune248.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	97	2	99

Merged error: 0.4b

Counts

99 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin kx) 2.0)
0.3b	(pow (sin ky) 2.0)
1.3b	(log (pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
1.7b	(pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`pow-unpow`
8×	`log-prod` `pow-pow`
7×	`pow1` `add-exp-log`
5×	`exp-prod` `sqr-pow`
4×	`pow-to-exp` `pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`rem-log-exp`
2×	`unpow-prod-up` `distribute-lft-out`
1×	`log-pow`

Counts

4 → 78

Calls

4 calls:

3.0ms	(pow (sin kx) 2.0)
3.0ms	(pow (sin ky) 2.0)
5.0ms	(log (pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
11.0ms	(pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (sin kx) 2.0)
17.0ms	(pow (sin ky) 2.0)
61.0ms	(log (pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
58.0ms	(pow (exp (pow (* 2.0 (/ l Om)) 2.0)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5116	1289

prune226.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0.4b

Counts

92 → 2

regimes1.1s

Accuracy

0% (0.3b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	78	29
1	78	29

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.1s	6234×	body	80	valid
582.0ms	503×	body	1280	valid
544.0ms	659×	body	640	valid
243.0ms	399×	body	320	valid
79.0ms	205×	body	160	valid

Details

analyze588.0ms

sample98.0ms

simplify66.0ms

prune11.0ms

localize21.0ms

rewrite27.0ms

series261.0ms

simplify33.0ms

prune248.0ms

localize24.0ms

rewrite23.0ms

series154.0ms

simplify55.0ms

prune226.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.8s

Profiling