Details

sample142.0ms

Algorithm

intervals

Results

50.0ms	889×	body	80	nan
21.0ms	343×	body	80	valid
20.0ms	62×	body	1280	nan
14.0ms	57×	body	640	nan
4.0ms	23×	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	1034	8
5	5001	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

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

rewrite37.0ms

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:

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

series536.0ms

Counts

4 → 12

Calls

4 calls:

320.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
43.0ms	(/ 1.0 (sqrt k))
31.0ms	(* (* 2.0 PI) n)
141.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (83.0ms)

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

prune413.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:

10.0ms	(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))

series445.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
37.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
256.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

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

prune297.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
12×	`pow-prod-down` `prod-exp`
9×	`times-frac` `associate-r` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-pow` `associate-l` `pow-exp` `*-commutative`
1×	`pow-to-exp` `unpow-prod-down` `div-inv` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

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

series362.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
38.0ms	(* (* 2.0 PI) n)
255.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	270	395
1	1047	339
2	5001	339

prune259.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
40×	`add-sqr-sqrt`
31×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`prod-exp`
24×	`associate-l`
20×	`pow1`
19×	`add-cbrt-cube`
13×	`pow-unpow`
11×	`associate-r` `sqrt-prod`
9×	`pow-prod-down` `pow-exp`
8×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`div-exp` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-pow` `*-commutative`
2×	`unpow-prod-down` `div-inv`
1×	`cbrt-undiv` `associate-*l/`

Counts

4 → 119

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))
16.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

series824.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
268.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))
493.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	619	957
1	2507	860
2	5001	860

prune322.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.3b 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	22	19
1	22	19

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.5s	26821×	body	80	nan
671.0ms	1956×	body	1280	nan
644.0ms	10621×	body	80	valid
428.0ms	1663×	body	640	nan
151.0ms	828×	body	320	nan
44.0ms	393×	body	160	nan