Details

analyze1.5s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 93.75%

sample97.0ms

Algorithm

intervals

Results

37.0ms	203×	body	80	valid
20.0ms	17×	body	1280	valid
16.0ms	19×	body	640	valid
6.0ms	9×	body	320	valid
3.0ms	8×	body	160	valid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	16
1	123	16
2	294	16
3	1083	16
4	5001	16

prune9.0ms

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: 1.8b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin ky) 2.0)
0.3b	(pow (sin kx) 2.0)
3.6b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
8.8b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite24.0ms

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:

3.0ms	(pow (sin ky) 2.0)
3.0ms	(pow (sin kx) 2.0)
13.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
2.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series278.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (sin ky) 2.0)
20.0ms	(pow (sin kx) 2.0)
106.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
133.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	577	885
1	2288	858
2	5001	858

prune257.0ms

Filtered

68 candidates to 98 candidates (-44.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	2	99

Merged error: 1.1b

Counts

99 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin kx) 2.0)
0.6b	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
2.4b	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
8.8b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 127

Calls

4 calls:

3.0ms	(pow (sin kx) 2.0)
17.0ms	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
14.0ms	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
2.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sin kx) 2.0)
107.0ms	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))
106.0ms	(* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
129.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (* (pow (/ (* 2.0 l) Om) (/ 2.0 2)) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))

simplify90.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	745	1983
1	3061	1762
2	5001	1762

prune359.0ms

Filtered

80 candidates to 139 candidates (-73.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	139	2	141

Merged error: 1.1b

Counts

141 → 2

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

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: 1.1b

Counts

2 → 2

regimes625.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

analyze1.7s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 93.75%

sample3.0s

Algorithm

intervals

Results

1.2s	6225×	body	80	valid
642.0ms	539×	body	1280	valid
559.0ms	629×	body	640	valid
250.0ms	375×	body	320	valid
94.0ms	232×	body	160	valid

Details

analyze1.5s

sample97.0ms

simplify40.0ms

prune9.0ms

localize24.0ms

rewrite24.0ms

series278.0ms

simplify64.0ms

prune257.0ms

localize28.0ms

rewrite41.0ms

series360.0ms

simplify90.0ms

prune359.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes625.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.7s

sample3.0s

Profiling