Details

sample170.0ms

Algorithm

intervals

Results

70.0ms	648×	body	80	nan
47.0ms	373×	body	80	valid

simplify2.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize57.0ms

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	(* (* 2.0 PI) n)
0.3b	(/ 1.0 (sqrt k))
0.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite133.0ms

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)))
34.0ms	(* (* 2.0 PI) n)
7.0ms	(/ 1.0 (sqrt k))
23.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series792.0ms

Counts

4 → 12

Calls

4 calls:

475.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
56.0ms	(* (* 2.0 PI) n)
51.0ms	(/ 1.0 (sqrt k))
210.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.8s

Counts: 161 → 161

prune680.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))
0.2b	(* (* 2.0 PI) n)
0.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

50.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))
39.0ms	(* (* 2.0 PI) n)
36.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series740.0ms

Counts

3 → 9

Calls

3 calls:

445.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))
63.0ms	(* (* 2.0 PI) n)
233.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify1.3s

Counts: 95 → 95

prune363.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
0.2b	(/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
0.2b	(* (* 2.0 PI) n)
0.7b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
78×	`times-frac`
48×	`add-sqr-sqrt` `*-un-lft-identity`
42×	`add-cube-cbrt`
38×	`div-exp` `prod-exp`
23×	`add-cbrt-cube`
19×	`pow-unpow`
18×	`sqrt-prod`
16×	`pow1`
15×	`pow-exp`
12×	`associate-/r*`
9×	`associate-/l*`
7×	`cbrt-undiv` `rec-exp` `1-exp` `div-inv`
6×	`div-sub` `pow-prod-down` `associate-/r/` `pow-sub`
5×	`pow-to-exp` `associate-*r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-pow` `associate-r` `distribute-lft-out--` `difference-of-squares`
2×	`frac-2neg` `clear-num`
1×	`unpow-prod-down` `pow-flip` `associate-l` `*-commutative` `inv-pow` `sqr-pow`

Counts

4 → 170

Calls

4 calls:

44.0ms	(/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
18.0ms	(/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
21.0ms	(* (* 2.0 PI) n)
39.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series1.3s

Counts

4 → 12

Calls

4 calls:

467.0ms	(/ 1 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))
586.0ms	(/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
40.0ms	(* (* 2.0 PI) n)
179.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify702.0ms

Counts: 182 → 182

prune824.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 PI) n)
0.2b	(* (* 2.0 PI) n)
0.6b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.6b	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite169.0ms

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:

30.0ms	(* (* 2.0 PI) n)
19.0ms	(* (* 2.0 PI) n)
40.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
55.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series464.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* 2.0 PI) n)
45.0ms	(* (* 2.0 PI) n)
165.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
211.0ms	(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify1.2s

Counts: 204 → 204

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes234.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.9s

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.3s	20642×	body	80	nan
1.6s	11870×	body	80	valid
0.0ms	1×	body	160	nan