Details

sample154.0ms

Algorithm

intervals

Results

52.0ms	902×	body	80	nan
24.0ms	70×	body	1280	nan
21.0ms	359×	body	80	valid
16.0ms	62×	body	640	nan
7.0ms	41×	body	320	nan
3.0ms	25×	body	160	nan

simplify36.0ms

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

prune2.0ms

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:

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

rewrite39.0ms

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:

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

series527.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* 2.0 PI) n)
314.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
42.0ms	(/ 1.0 (sqrt k))
135.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (85.0ms)

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

prune479.0ms

Filtered

169 candidates to 119 candidates (70.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	155	14	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	14	170

Merged error: 0.0b

Counts

170 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
11.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

254.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
30.0ms	(* (* 2.0 PI) n)
37.0ms	(* (* 2.0 PI) n)
878.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

simplify100.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	935	1406
1	4012	1247
2	5001	1237

prune326.0ms

Filtered

138 candidates to 68 candidates (49.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	142	10	152

Merged error: 0.0b

Counts

152 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

260×	`add-exp-log`
122×	`prod-exp`
91×	`div-exp`
66×	`pow-exp`
52×	`times-frac`
28×	`add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`pow-to-exp`
14×	`pow1` `associate-/r*`
8×	`cbrt-unprod`
7×	`cbrt-undiv`
6×	`unpow-prod-down` `associate-r` `pow-prod-down` `div-inv` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/r/`

Counts

4 → 181

Calls

4 calls:

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

series1.6s

Counts

4 → 12

Calls

4 calls:

759.0ms	(/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
780.0ms	(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
31.0ms	(* (* 2.0 PI) n)
37.0ms	(* (* 2.0 PI) n)

simplify52.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1308	2809
1	5001	2587

prune486.0ms

Filtered

193 candidates to 107 candidates (55.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	193	10	203

Merged error: 0.0b

Counts

203 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (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	(/ 1.0 (sqrt k))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-exp-log`
43×	`times-frac`
36×	`prod-exp`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`pow-exp`
26×	`div-exp`
18×	`add-cbrt-cube`
14×	`pow1`
12×	`unpow-prod-down` `sqrt-prod` `sqr-pow`
11×	`associate-/r*`
10×	`pow-to-exp`
8×	`associate-/l*`
6×	`associate-r` `pow-prod-down` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `associate-l` `clear-num` `*-commutative` `div-inv`
1×	`pow-div`

Counts

4 → 155

Calls

4 calls:

8.0ms	(/ (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)
4.0ms	(/ 1.0 (sqrt k))

series807.0ms

Counts

4 → 12

Calls

4 calls:

704.0ms	(/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
30.0ms	(* (* 2.0 PI) n)
30.0ms	(* (* 2.0 PI) n)
42.0ms	(/ 1.0 (sqrt k))

simplify70.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	708	1443
1	2737	1350
2	5002	1336

prune415.0ms

Filtered

167 candidates to 109 candidates (65.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	169	8	177

Merged error: 0.0b

Counts

177 → 8

regimes114.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	12
1	18	12

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.5s	27257×	body	80	nan
682.0ms	2009×	body	1280	nan
656.0ms	10694×	body	80	valid
440.0ms	1662×	body	640	nan
159.0ms	853×	body	320	nan
49.0ms	416×	body	160	nan