Details

sample148.0ms

Algorithm

intervals

Results

53.0ms	867×	body	80	nan
23.0ms	63×	body	1280	nan
21.0ms	339×	body	80	valid
14.0ms	49×	body	640	nan
5.0ms	26×	body	320	nan
1.0ms	9×	body	160	nan

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	8
1	59	8
2	119	8
3	325	8
4	1044	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: 0.5b

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

rewrite40.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 157

Calls

4 calls:

15.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms	(/ 1.0 (sqrt k))
5.0ms	(* (* 2.0 PI) n)
9.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series537.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
37.0ms	(/ 1.0 (sqrt k))
37.0ms	(* (* 2.0 PI) n)
138.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	981	1502
1	4021	1398
2	5003	1383

prune443.0ms

Filtered

169 candidates to 119 candidates (70.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	158	11	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	11	170

Merged error: 0.0b

Counts

170 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-exp-log`
105×	`prod-exp`
39×	`pow-exp`
36×	`div-exp`
26×	`add-cbrt-cube`
20×	`pow1`
13×	`add-sqr-sqrt` `pow-to-exp` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
10×	`times-frac` `cbrt-unprod`
9×	`pow-prod-down`
6×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow`
2×	`associate-l` `*-commutative` `div-inv`
1×	`unpow-prod-down` `frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series1.2s

Counts

4 → 12

Calls

4 calls:

892.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
38.0ms	(* (* 2.0 PI) n)
32.0ms	(* (* 2.0 PI) n)
264.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	935	1406
1	4011	1247
2	5003	1237

prune273.0ms

Filtered

138 candidates to 68 candidates (49.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	138	11	149

Merged error: 0b

Counts

149 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-exp-log`
67×	`prod-exp`
36×	`pow-exp`
30×	`div-exp`
20×	`pow1`
19×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac`
13×	`pow-unpow`
12×	`pow-to-exp`
9×	`pow-prod-down`
7×	`cbrt-unprod`
6×	`associate-r`
5×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-pow` `sqr-pow`
2×	`cbrt-undiv` `associate-l` `*-commutative` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 126

Calls

4 calls:

9.0ms	(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

789.0ms	(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
38.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
259.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	844	1336
1	3551	1160
2	5002	1122

prune295.0ms

Filtered

138 candidates to 75 candidates (54.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	138	11	149

Merged error: 0b

Counts

149 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
20×	`pow1`
19×	`add-cbrt-cube`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp`
15×	`times-frac`
13×	`pow-unpow`
9×	`pow-prod-down`
7×	`cbrt-unprod`
6×	`div-exp` `associate-r` `pow-exp` `associate-/r*` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow`
2×	`cbrt-undiv` `pow-to-exp` `associate-l` `*-commutative` `div-inv`
1×	`unpow-prod-down` `frac-2neg` `clear-num` `associate-/l*` `sqr-pow`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
8.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))

series894.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* 2.0 PI) n)
32.0ms	(* (* 2.0 PI) n)
266.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
557.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))

simplify67.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	583	754
1	2438	655
2	5003	646

prune448.0ms

Filtered

116 candidates to 73 candidates (62.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	116	11	127

Merged error: 0b

Counts

127 → 11

regimes174.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	25919×	body	80	nan
732.0ms	1969×	body	1280	nan
693.0ms	10613×	body	80	valid
484.0ms	1644×	body	640	nan
160.0ms	810×	body	320	nan
47.0ms	386×	body	160	nan