Details

sample85.0ms

Algorithm

intervals

Results

29.0ms	613×	body	80	nan
26.0ms	389×	body	80	valid

simplify38.0ms

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
done	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize13.0ms

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	(* (* 2.0 PI) n)
0.3b	(/ 1.0 (sqrt k))
1.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite90.0ms

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:

36.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
16.0ms	(* (* 2.0 PI) n)
9.0ms	(/ 1.0 (sqrt k))
20.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series551.0ms

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
39.0ms	(* (* 2.0 PI) n)
38.0ms	(/ 1.0 (sqrt k))
144.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify96.0ms

Counts

161 → 161

Iterations

Useful iterations: 2 (83.0ms)

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

prune428.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 PI) n)
0.3b	(/ 1.0 (sqrt k))
1.7b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
1.7b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
150×	`add-sqr-sqrt` `*-un-lft-identity`
122×	`pow-unpow`
114×	`add-cube-cbrt`
23×	`add-exp-log`
21×	`pow1`
18×	`distribute-lft-out--` `difference-of-squares`
12×	`sqrt-prod`
11×	`add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `div-inv`
6×	`pow-pow` `pow-exp` `associate-/r*`
4×	`div-sub` `add-log-exp`
3×	`associate-r` `cbrt-unprod` `associate-/l*`
2×	`pow-to-exp` `unpow-prod-down` `pow-sub` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative`

Counts

4 → 213

Calls

4 calls:

16.0ms	(* (* 2.0 PI) n)
6.0ms	(/ 1.0 (sqrt k))
27.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
24.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series365.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 2.0 PI) n)
44.0ms	(/ 1.0 (sqrt k))
141.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
147.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify85.0ms

Counts

225 → 225

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	859	1848
1	3384	1776
2	5001	1766
done	5001	1766

prune754.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 PI) n)
0.3b	(/ 1.0 (sqrt k))
0.3b	(/ 1.0 (sqrt k))
1.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

51×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
44×	`add-cube-cbrt`
24×	`sqrt-prod`
19×	`add-exp-log` `pow-unpow`
15×	`pow1`
13×	`add-cbrt-cube`
12×	`associate-/r*`
6×	`pow-prod-down` `prod-exp` `associate-/l*`
4×	`add-log-exp`
3×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`pow-to-exp` `unpow-prod-down` `div-sub` `associate-l` `*-commutative` `pow-sub` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

19.0ms	(* (* 2.0 PI) n)
6.0ms	(/ 1.0 (sqrt k))
6.0ms	(/ 1.0 (sqrt k))
20.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series255.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 2.0 PI) n)
37.0ms	(/ 1.0 (sqrt k))
43.0ms	(/ 1.0 (sqrt k))
142.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify65.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	563	883
1	2197	815
2	5001	791
done	5001	791

prune437.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 (sqrt k)))
0.6b	(cbrt (/ 1.0 (sqrt k)))
0.6b	(cbrt (/ 1.0 (sqrt k)))
1.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
66×	`cbrt-prod`
58×	`add-sqr-sqrt` `*-un-lft-identity`
52×	`add-cube-cbrt`
27×	`sqrt-prod`
19×	`pow-unpow`
10×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `unpow-prod-down` `div-sub` `pow-sub` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

3.0ms	(cbrt (/ 1.0 (sqrt k)))
4.0ms	(cbrt (/ 1.0 (sqrt k)))
3.0ms	(cbrt (/ 1.0 (sqrt k)))
23.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series755.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (/ 1.0 (sqrt k)))
201.0ms	(cbrt (/ 1.0 (sqrt k)))
207.0ms	(cbrt (/ 1.0 (sqrt k)))
143.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify48.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	462	1152
1	1478	1107
2	5002	1061
done	5002	1061

prune568.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16
done	20	16

end0.0ms

sample2.7s

Algorithm

intervals

Results

997.0ms	20322×	body	80	nan
907.0ms	11899×	body	80	valid
0.0ms	1×	body	160	nan