Details

sample177.0ms

Algorithm

intervals

Results

65.0ms	391×	body	80	valid
63.0ms	627×	body	80	nan

simplify2.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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)
1.4b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite555.0ms

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:

58.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms	(/ 1.0 (sqrt k))
442.0ms	(* (* 2.0 PI) n)
36.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series744.0ms

Counts

4 → 12

Calls

4 calls:

451.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
44.0ms	(/ 1.0 (sqrt k))
43.0ms	(* (* 2.0 PI) n)
205.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.9s

Counts: 161 → 161

prune614.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 PI) n)
0.3b	(* (* 2.0 PI) n)
1.4b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
1.4b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow-unpow`
36×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
26×	`pow1` `add-exp-log`
24×	`add-cube-cbrt`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `div-sub` `associate-l` `*-commutative` `div-inv` `pow-sub` `sqr-pow`

Counts

4 → 108

Calls

4 calls:

19.0ms	(* (* 2.0 PI) n)
36.0ms	(* (* 2.0 PI) n)
37.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
22.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series505.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* 2.0 PI) n)
59.0ms	(* (* 2.0 PI) n)
177.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
206.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify846.0ms

Counts: 120 → 120

prune712.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 PI) n)
0.5b	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.3b	(pow n (/ (- 1.0 k) 2.0))
1.4b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow-unpow`
51×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
33×	`add-cube-cbrt`
19×	`pow1` `add-exp-log`
9×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
7×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `pow-exp`
5×	`unpow-prod-down`
4×	`add-log-exp`
3×	`pow-to-exp` `div-sub` `associate-r` `cbrt-unprod` `div-inv` `pow-sub` `sqr-pow`
1×	`associate-l` `*-commutative`

Counts

4 → 122

Calls

4 calls:

36.0ms	(* (* 2.0 PI) n)
15.0ms	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
8.0ms	(pow n (/ (- 1.0 k) 2.0))
42.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series497.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* 2.0 PI) n)
137.0ms	(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
82.0ms	(pow n (/ (- 1.0 k) 2.0))
217.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.3s

Counts: 134 → 134

prune973.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 PI) n)
0.3b	(* (* 2.0 PI) n)
1.3b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
1.3b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
136×	`add-sqr-sqrt` `*-un-lft-identity`
122×	`pow-unpow`
100×	`add-cube-cbrt`
26×	`pow1` `add-exp-log`
18×	`distribute-lft-out--` `difference-of-squares`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
8×	`div-inv`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod`
4×	`div-sub` `add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `associate-l` `*-commutative` `pow-sub` `sqr-pow`

Counts

4 → 192

Calls

4 calls:

34.0ms	(* (* 2.0 PI) n)
35.0ms	(* (* 2.0 PI) n)
61.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
38.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* 2.0 PI) n)
35.0ms	(* (* 2.0 PI) n)
180.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
197.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify1.1s

Counts: 204 → 204

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes270.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.5s

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.4s	20885×	body	80	nan
2.4s	11888×	body	80	valid
0.0ms	1×	body	160	nan