Details

sample102.0ms

Algorithm

intervals

Results

34.0ms	204×	body	80	valid
22.0ms	21×	body	1280	valid
14.0ms	18×	body	640	valid
3.0ms	6×	body	320	valid
3.0ms	7×	body	160	valid

simplify41.0ms

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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.3b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin kx) 2.0)
0.2b	(pow (/ (* 2.0 l) Om) 2.0)
2.2b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
7.3b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

3.0ms	(pow (sin kx) 2.0)
5.0ms	(pow (/ (* 2.0 l) Om) 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)))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(pow (sin kx) 2.0)
14.0ms	(pow (/ (* 2.0 l) Om) 2.0)
110.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
137.0ms	(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

104 → 104

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	571	937
1	2329	896
2	5001	896

prune258.0ms

Filtered

104 candidates to 72 candidates (30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Merged error: 0.2b

Counts

105 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sin kx) 2.0)
0.2b	(pow (/ (* 2.0 l) Om) 2.0)
2.2b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
2.3b	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

3.0ms	(pow (sin kx) 2.0)
5.0ms	(pow (/ (* 2.0 l) Om) 2.0)
14.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
4.0ms	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series251.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(pow (sin kx) 2.0)
14.0ms	(pow (/ (* 2.0 l) Om) 2.0)
108.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
109.0ms	(log (exp (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify61.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	545	964
1	2199	884
2	5001	884

prune287.0ms

Filtered

105 candidates to 74 candidates (29.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0.2b

Counts

108 → 3

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

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: 0.2b

Counts

3 → 3

regimes1.2s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	28	16

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	6147×	body	80	valid
627.0ms	564×	body	1280	valid
538.0ms	658×	body	640	valid
245.0ms	422×	body	320	valid
78.0ms	209×	body	160	valid

Details

sample102.0ms

simplify41.0ms

prune5.0ms

localize22.0ms

rewrite28.0ms

series280.0ms

simplify64.0ms

prune258.0ms

localize24.0ms

rewrite29.0ms

series251.0ms

simplify61.0ms

prune287.0ms

localize7.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling