Details

sample161.0ms

Algorithm

intervals

Results

56.0ms	915×	body	80	nan
29.0ms	86×	body	1280	nan
21.0ms	345×	body	80	valid
13.0ms	49×	body	640	nan
5.0ms	27×	body	320	nan
3.0ms	26×	body	160	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	29	8
1	59	8
2	119	8
3	325	8
4	1034	8
5	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.2b	(* (* 2.0 PI) n)
0.3b	(/ 1.0 (sqrt k))
0.5b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
55×	`times-frac`
49×	`*-un-lft-identity`
46×	`add-exp-log`
43×	`add-cube-cbrt`
23×	`associate-l` `sqrt-prod`
22×	`prod-exp`
19×	`pow-unpow`
16×	`add-cbrt-cube`
15×	`pow1`
9×	`pow-exp`
8×	`associate-r`
6×	`div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
5×	`cbrt-unprod` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-sub` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 149

Calls

4 calls:

11.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms	(* (* 2.0 PI) n)
8.0ms	(/ 1.0 (sqrt k))
10.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series544.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms	(* (* 2.0 PI) n)
44.0ms	(/ 1.0 (sqrt k))
140.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	950	1461
1	3924	1358
2	5002	1344

prune458.0ms

Filtered

161 candidates to 107 candidates (66.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	147	14	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	14	162

Merged error: 0.0b

Counts

162 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 PI) n)
0.2b	(* (* 2.0 PI) n)
0.2b	(pow (* (* 2.0 PI) n) (/ k 2.0))
0.3b	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `pow-unpow`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `associate-l` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series457.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
128.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
260.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	453	528
1	1774	479
2	5002	473

prune307.0ms

Filtered

106 candidates to 67 candidates (63.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	12	13
Picked	0	1	1
Done	0	0	0
Total	106	14	120

Merged error: 0.0b

Counts

120 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* (* 2.0 PI) n) (/ k 2.0))
0.3b	(/ 1.0 (sqrt k))
0.3b	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
0.4b	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
58×	`times-frac`
47×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
26×	`pow-unpow`
23×	`sqrt-prod`
22×	`associate-l` `prod-exp`
16×	`pow1`
12×	`pow-exp`
11×	`add-cbrt-cube`
6×	`pow-pow` `div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr` `sqr-pow`
5×	`associate-r`
4×	`pow-to-exp` `div-inv` `add-log-exp`
3×	`unpow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `cbrt-unprod`
1×	`frac-2neg` `associate-l/` `clear-num` `-commutative`

Counts

4 → 151

Calls

4 calls:

6.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
4.0ms	(/ 1.0 (sqrt k))
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
11.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

series930.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
43.0ms	(/ 1.0 (sqrt k))
263.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
502.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	811	1260
1	3172	1166
2	5001	1152

prune493.0ms

Filtered

163 candidates to 112 candidates (68.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	164	13	177

Merged error: 0.0b

Counts

177 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
0.3b	(/ 1.0 (sqrt k))
0.3b	(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
0.7b	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-exp-log`
68×	`prod-exp`
63×	`add-sqr-sqrt`
55×	`times-frac`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
27×	`pow-exp`
23×	`associate-l` `sqrt-prod`
20×	`add-cbrt-cube`
19×	`pow-unpow`
18×	`pow-to-exp`
17×	`div-exp`
12×	`associate-r`
11×	`div-sub` `pow-sub`
7×	`pow1` `cbrt-unprod`
6×	`frac-times` `associate-l/` `associate-/r` `unswap-sqr` `sqr-pow`
5×	`unpow-prod-down`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`pow-pow` `*-commutative`
1×	`frac-2neg` `pow-prod-down` `clear-num`

Counts

4 → 180

Calls

4 calls:

12.0ms	(* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
4.0ms	(/ 1.0 (sqrt k))
10.0ms	(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
7.0ms	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

series981.0ms

Counts

4 → 12

Calls

4 calls:

572.0ms	(* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
38.0ms	(/ 1.0 (sqrt k))
293.0ms	(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
77.0ms	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	1125	2057
1	4814	1860
2	5001	1856

prune470.0ms

Filtered

192 candidates to 119 candidates (62.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	194	11	205

Merged error: 0.0b

Counts

205 → 11

regimes191.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.6s	26646×	body	80	nan
688.0ms	1948×	body	1280	nan
675.0ms	10619×	body	80	valid
588.0ms	1682×	body	640	nan
175.0ms	903×	body	320	nan
49.0ms	422×	body	160	nan