Details

sample161.0ms

Algorithm

intervals

Results

50.0ms	902×	body	80	nan
25.0ms	70×	body	1280	nan
21.0ms	359×	body	80	valid
16.0ms	62×	body	640	nan
13.0ms	41×	body	320	nan
3.0ms	25×	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	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: 0.5b

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))

rewrite35.0ms

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:

5.0ms	(* (* 2.0 PI) n)
11.0ms	(* (/ 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))

series558.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 2.0 PI) n)
328.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
45.0ms	(/ 1.0 (sqrt k))
147.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (83.0ms)

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

prune581.0ms

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

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` `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 → 118

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:

267.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
32.0ms	(* (* 2.0 PI) n)
39.0ms	(* (* 2.0 PI) n)
905.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))

simplify107.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	916	1358
1	3952	1199
2	5001	1199

prune291.0ms

Filtered

130 candidates to 60 candidates (46.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	4	130
Fresh	7	6	13
Picked	1	0	1
Done	0	0	0
Total	134	10	144

Merged error: 0.0b

Counts

144 → 10

localize24.0ms

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)

rewrite40.0ms

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×	`associate-/l*` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/r/`

Counts

4 → 173

Calls

4 calls:

10.0ms	(/ 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)

series1.7s

Counts

4 → 12

Calls

4 calls:

797.0ms	(/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))
824.0ms	(/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
39.0ms	(* (* 2.0 PI) n)
34.0ms	(* (* 2.0 PI) n)

simplify59.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1276	2747
1	5001	2525

prune476.0ms

Filtered

185 candidates to 99 candidates (53.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	185	10	195

Merged error: 0.0b

Counts

195 → 10

localize19.0ms

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))

rewrite28.0ms

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×	`add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `associate-l` `clear-num` `*-commutative` `div-inv`
1×	`pow-div`

Counts

4 → 147

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))

series727.0ms

Counts

4 → 12

Calls

4 calls:

614.0ms	(/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))
33.0ms	(* (* 2.0 PI) n)
33.0ms	(* (* 2.0 PI) n)
46.0ms	(/ 1.0 (sqrt k))

simplify69.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	680	1407
1	2676	1312
2	5003	1302

prune408.0ms

Filtered

159 candidates to 101 candidates (63.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	157	2	159
Fresh	3	5	8
Picked	1	0	1
Done	0	1	1
Total	161	8	169

Merged error: 0.0b

Counts

169 → 8

regimes113.0ms

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

sample4.4s

Algorithm

intervals

Results

1.6s	27257×	body	80	nan
717.0ms	2009×	body	1280	nan
674.0ms	10694×	body	80	valid
447.0ms	1662×	body	640	nan
166.0ms	853×	body	320	nan
48.0ms	416×	body	160	nan