Details

sample80.0ms

Algorithm

intervals

Results

30.0ms	200×	body	80	valid
12.0ms	22×	body	640	valid
11.0ms	13×	body	1280	valid
4.0ms	11×	body	320	valid
3.0ms	10×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	16
1	131	16
2	342	16
3	1202	16
4	5002	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: 0.8b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (sin kx) 2.0)
0.6b	(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
1.9b	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
10.0b	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
64×	`times-frac`
58×	`associate-l`
51×	`unpow-prod-down`
48×	`add-cube-cbrt`
25×	`sqrt-prod`
19×	`add-exp-log`
15×	`unswap-sqr`
14×	`associate-r`
12×	`distribute-lft-out`
8×	`pow1` `associate-/r*` `add-cbrt-cube`
6×	`prod-exp` `hypot-def`
4×	`expm1-log1p-u` `sqrt-div` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `div-exp` `flip-+` `associate-/l*`
2×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `associate-*r/` `associate-/r/` `div-inv`
1×	`cbrt-undiv` `rem-sqrt-square` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `cbrt-unprod`

Counts

4 → 172

Calls

4 calls:

2.0ms	(pow (sin kx) 2.0)
36.0ms	(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
24.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
37.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

106.0ms	(pow (sin kx) 2.0)
391.0ms	(/ 1.0 (sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0))))))
396.0ms	(* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))
326.0ms	(sqrt (+ 1.0 (* (pow (/ (* 2.0 l) Om) 2.0) (+ (pow (sin kx) 2.0) (pow (sin ky) 2.0)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	858	2225
1	3475	2100
2	5003	2096

prune639.0ms

Filtered

184 candidates to 130 candidates (29.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	2	185

Merged error: 0.6b

Counts

185 → 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: 0.6b

Counts

2 → 2

regimes483.0ms

Accuracy

0% (0.4b remaining)

Error of 0.9b against oracle of 0.5b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	16
1	28	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

760.0ms	6212×	body	80	valid
464.0ms	555×	body	1280	valid
354.0ms	634×	body	640	valid
150.0ms	378×	body	320	valid
56.0ms	221×	body	160	valid